The model shows the area (in square units) of each part of a rectangle. Use the model to find missing values that complete the expression.

A drawing shows two adjacent rectangles of equal height. The area of the larger rectangle is labeled 48 and the area of the smaller rectangle is labeled 32. The height and the top length of each of the rectangles are marked with a question mark.

48 + 32 = ( + )

Question 2

Explain your reasoning.

Answers

Answer 1

By using the model, the missing values that complete the expression include the following:

48 + 32 = 8(6 + 4).

How to calculate the area of a rectangle?

In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:

A = LB

Where:

A represent the area of a rectangle.B represent the breadth of a rectangle.L represent the length of a rectangle.

By substituting the given parameters into the formula for the area of a rectangle, we have the following;

Area of big rectangle = L × B

48 = 8 × 6

Area of small rectangle = L × B

32 = 8 × 4

For the required expression, we have:

48 + 32 = 8(6 + 4).

80 = 8(10)

80 = 80

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The Model Shows The Area (in Square Units) Of Each Part Of A Rectangle. Use The Model To Find Missing

Related Questions

A straw is placed inside a rectangular box that is 2 inches by 1 inches by 3 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in the simplest radical form.

Answers

The length of the straw is 3.74 inches.

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

In rectangular box,

Length (l) = 2 inches

Width (w) = 1 inches

Height (h) = 3 inches

Here, The straw is said to fit into the box diagonally from the bottom.

So, the length (s) of the straw is calculated as:

⇒ s = √ l² + w² + h²

⇒ s = √ 2² + 1² + 3²

⇒ s = √ 4 + 1 + 9

⇒ s = √ 14

⇒ s = 3.74 inches

Thus, The length of straw = 3.74 inches

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The length of the straw will be 3.7416  inches long in radical form.

What is Length of diagonal in cuboid?

If a cuboid has length = l units, breadth = b units, and height = h units, then we can evaluate the length of the diagonal of a cuboid using the formula : X²=l²+b²+h²

Here,

As per the question the length of the straw is equal to length of the diagonal of Rectangular box.

l= 3 inch , b= 2 inch , h= 1 inch

Let us consider the length of the straw be 'x'.

As, Diagonal of Cuboid is,

X²=14

X=√14

i.e. X=3.7416

We get, X= 3.7416 (in radical form)

Hence, the length of the straw will be  5.91607 inches.

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find the missing measures of the right triangle

find the missing measures of the right triangle

Answers

Answer:

this is easy but I will not tell u guys >:))

Step-by-step explanation:

cause all of u or not smart :)

Your company obtained a standard reference material for avobenzone from the FDA that contains 0.250mg avobenzone per gram sunscreen. Your working group is creating a new method for detecting avobenzone in sunscreen. You analyze the standard and find it contains 0.256,0.279,0.328,0.305,0.312 and 0.230ug/g of avobenzone. You need to present your findings to your supervisor. Is your new method valid/accurate for the detection of avobenzone in sunscreen at a 95\% confidence level? (show all of your work)

Answers

Yes, the new method for detecting avobenzone in sunscreen is valid/accurate at a 95% confidence level.

The standard reference material provided by the FDA contains 0.250 mg of avobenzone per gram of sunscreen. The working group analyzed the standard and obtained measurements of avobenzone content in six samples, which were found to be 0.256, 0.279, 0.328, 0.305, 0.312, and 0.230 µg/g.

To determine the validity and accuracy of the new detection method, we need to assess if the measurements obtained from the samples are within an acceptable range of the known avobenzone content provided by the standard.

At a 95% confidence level, we can calculate a confidence interval to evaluate the accuracy of the new method. The confidence interval is a range within which we can reasonably expect the true avobenzone content of the sunscreen samples to fall. If the known avobenzone content provided by the standard falls within this confidence interval, it indicates that the new method is valid and accurate.

By performing the necessary calculations, we can determine the confidence interval. Comparing the range of the measurements obtained from the samples (0.230 to 0.328 µg/g) with the known avobenzone content provided by the standard (0.250 mg/g), we find that the measurements overlap with the known value. Therefore, we can conclude that the new method is valid/accurate for the detection of avobenzone in sunscreen at a 95% confidence level.

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Sketch the following and then find the sum of the vertex
angles.
a. A hexagon
b. An octagon
c. A dodecagon.

Answers

To find the sum of the vertex angles in various polygons, we need to sketch the polygons and then calculate the sum. For a hexagon, octagon, and dodecagon, the sums of the vertex angles are 720°, 1,080°, and 1,800°, respectively.

a. Hexagon: A hexagon is a polygon with six sides. To find the sum of the vertex angles, we can divide the hexagon into triangles. Since each triangle has an interior angle sum of 180°, the hexagon can be divided into four triangles. Therefore, the sum of the vertex angles in a hexagon is 4 * 180° = 720°.

b. Octagon: An octagon is a polygon with eight sides. Similar to the hexagon, we can divide the octagon into triangles. Dividing it into six triangles, each with an interior angle sum of 180°, the sum of the vertex angles in an octagon is 6 * 180° = 1,080°.

c. Dodecagon: A dodecagon is a polygon with twelve sides. Dividing it into ten triangles, each with an interior angle sum of 180°, the sum of the vertex angles in a dodecagon is 10 * 180° = 1,800°.

Therefore, the sum of the vertex angles in a hexagon is 720°, in an octagon is 1,080°, and in a dodecagon is 1,800°.

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Find the sum of the vertex angles of the following polygons---

a. A hexagon

b. An octagon

c. A dodecagon.

Use the Distributive Property to complete the equivalent expression. Enter your answers in the boxes.

4(y – 3) =

Answers

Answer:

4y−12

Step-by-step explanation:

4(y−3)

Use the distributive property to multiply 4 by y−3.

4y−12

Which graph does not represent a function

Which graph does not represent a function

Answers

Answer:

4 i think...

Step-by-step explanation:

Answer:

D. or graph 4.

Step-by-step explanation:

Because the function would not make sense when trying to include a way to see the uprise, steady stay, uprise, steady stay, in that order.

A railway engine starts shunting wagons by first going 1000m north of railway station. It reverses and travels 1250m and then it again moves 600m north. Finally moving 800m south it comes to rest. How far is the engine from the station and in which direction?

Answers

Answer:

450m South

Step-by-step explanation:

Total distance traveled Northward :

1000m + 600m = 1600m Northward

Total distance traveled Southward :

1250m + 800m = 2050m

The Displacement :

Southward - Northward

2050m - 1650m

= 450m

Since, it covers more distance towards the south, then, direction is southward

450m South

Dan spends
34
of his wages on rent and
18 on food. If he makes £240 per week, how much money does he have left?

Answers

Dan has money left is £30.

Given:

Dan spends 3/4 of his wages on rent and 1/8 on food.

If he makes £240 per week.

Money left =  240 - 240* 3/4 - 240 * 1/8

= 240 - 60*3 - 240/8

= 240 - 180 - 30

= 60 - 30

= 30.

Therefore Dan has money left is £30.

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m= 3/8 ​ b=−3 slope intercept form

Answers

Answer:

y=3/8x-3

Step-by-step explanation:

if 3/8=m then mx=3/8x.

If -3=b, then -3=b.

So our equation would be y=3/8x-3

-Hope this helped

Identify different geometrical shapes associated with Rashtrapati Bhavan

Answers

These geometrical shapes collectively contribute to the majestic and visually appealing architecture of Rashtrapati Bhavan, representing a blend of Indian and Western architectural styles.

Rashtrapati Bhavan, the official residence of the President of India, incorporates various geometrical shapes in its architectural design. Some of the prominent shapes associated with Rashtrapati Bhavan are:

Rectangular: The main building of Rashtrapati Bhavan is predominantly rectangular in shape. It features a grand facade with symmetrical wings extending from a central dome.

Circular: The central dome of Rashtrapati Bhavan is a prominent circular structure that adds elegance to the building's design. It is one of the iconic features of the architectural composition.

Triangular: Several elements within the Rashtrapati Bhavan complex exhibit triangular shapes. This includes decorative elements, architectural details, and the triangular sections formed by the intersections of walls and roofs.

Curved: The exterior design of Rashtrapati Bhavan incorporates numerous curved elements, such as arches, domes, and balconies. These curved features add a sense of grace and grandeur to the overall appearance.

Symmetrical: Rashtrapati Bhavan follows a symmetrical layout, with balanced proportions and mirrored designs on its facades. Symmetry is evident in the placement of columns, windows, and other architectural elements.

These geometrical shapes collectively contribute to the majestic and visually appealing architecture of Rashtrapati Bhavan, representing a blend of Indian and Western architectural styles.

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7. Han's cell phone plan costs $200 to start. Then there is a $50 charge each month. a. What is the total cost (start up fee and monthly charge) to use the cell phone plan for 1 month? b. What is the total cost for x months?c.Graph the cost of the cell phone plan over a period of two years using month as the units of time be sure to label your axes and scale them by labeling each grid line with a number.d.Is there a portions relationship between time and the cost of the cell phone plan.e. Draw a line a parallel to the line you graphed that goes through the point(0,350) suppose that this line represents the pricing plan for another company.What is the startup fee and monthly cost for this plan?

Answers

Answer:

a. $250

b. The total cost for x month is $200 + $50 × x

c. Please see the attached graph

d. Yes, there is a proportional relationship between time and the cost of the cell phone plan

e. $350

Step-by-step explanation:

The given parameters are;

The costs to start on the cell phone cell = $200

The charge each month = $50

a. The total cost to use the cell phone plan for 1 month = Start up fee + Monthly charge = $200 + $50 = $250

b. The total cost for x month, c = $200 + $50 × x

c. Please see the attached graph

d. Yes, there is a proportional relationship between time and the cost of the cell phone plan

e. The line parallel to the line graphed that goes to the point (0, 350), is given as follows;

y = m·x + c

Where;

m = 50

y - 350 = 50 × (x - 0)

y = 50·x + 350

The startup fee is given by the total cost at x = 0, when the monthly fee is excluded, which gives;

c = 50 × 0 + 350 = 350

The startup fee for the pricing plan = $350.

7. Han's cell phone plan costs $200 to start. Then there is a $50 charge each month. a. What is the total
7. Han's cell phone plan costs $200 to start. Then there is a $50 charge each month. a. What is the total

The startup fee and monthly cost for this plan according to the question is :

Part a:

The total cost to use the cell phone plan for 1 month = Start up fee + Monthly charge

Total Cost = $200 + $50 Total Cost = $250 The total cost to use the cell phone plan for 1 month is $250.

Part b:

The total cost for x month, c = $200 + $50 × x The total cost for x month is $200 + $50 × x c.

Please see the attached graph

Part c:

Yes, there is a proportional relationship between time and the cost of the cell phone plan .

Part e:

The line parallel to the line graphed that goes to the point (0, 350), is given as follows;

y = m·x + c

Where;

m = 50 y - 350 = 50 × (x - 0) y = 50·x + 350

The startup fee is given by the total cost at x = 0, when the monthly fee is excluded, which gives;

c = 50 × 0 + 350 = 350

Yes, there is a proportional relationship between time and the cost of the cell phone plan e. $350

The given parameters are; The costs to start on the cell phone cell = $200 The charge each month = $50

The startup fee for the pricing plan = $350.

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multiply (2 4 over 5) (-5 2 over 3)​

multiply (2 4 over 5) (-5 2 over 3)

Answers

(2 4/5)(-5 2/3)=-238/15
Simplified= -15 13/15

Answer: -15 13/15

Hope that helped and have a nice day :)!

Jane is building a fence around her garden. For every 4 feet of fencing, the cost is 36 Complete the table below showing the length of the fence and the cost.

Answers

The Complete is showing the length of the fence and the cost.

Length of fencing  4  6      7    9  10

Cost:                       36 54  63 81  90

What is Proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Length of fencing  4  6  7  x  10

Cost:                       36 y z 81 w

Now, Using proportion

4/ 36 = 6/y

4y = 36(6)

y = 54

and, 4/36 = 7/z

4z = 36 (7)

z = 63

and, 4/36 = x /81

x = 9

and, 4/36 = 10/w

360 = 4w

w= 90

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Suppose U = {1, 2, 3, 4, 5, 6, 7, 8}, A = (1, 3, 5, 7}, and B = {4, 5, 6}. Tell whether each statement is true or false.

Answers

1. A ⊆ U (A is a subset of U):.

True. A is a subset of U if every element in A is also an element in U.

In this case, all the elements in A (1, 3, 5, 7) are present in U, so A is a subset of U.

2. 5 ∈ B (5 is an element of B):

True. The element 5 is present in set B, so 5 is indeed an element of B.

3. A ∩ B = ∅ (Intersection of A and B is empty):

False. The intersection of sets A and B is not empty. Both sets contain the element 5, so their intersection is {5}.

4. A ∪ B = U (Union of A and B is U):

False. The union of sets A and B includes all the elements that are present in either set.

The union of A and B in this case would be {1, 3, 4, 5, 6, 7}, which is not equal to U.

5. B ⊆ A (B is a subset of A):

False. B is not a subset of A because B contains elements (4 and 6) that are not present in A.

A ⊆ U (A is a subset of U):

True. A set A is considered a subset of set U if every element of A is also an element of U.

In this case, A = {1, 3, 5, 7}, and all these elements (1, 3, 5, 7) are indeed present in set U = {1, 2, 3, 4, 5, 6, 7, 8}. Therefore, A is a subset of U.

5 ∈ B (5 is an element of B):

True. The symbol "∈" means "is an element of." In set B = {4, 5, 6}, the element 5 is present.

Therefore, the statement "5 is an element of B" is true.

A ∩ B = ∅ (Intersection of A and B is empty):

False. The symbol "∩" represents the intersection of sets. The intersection of A = {1, 3, 5, 7} and B = {4, 5, 6} is the set of elements that are common to both sets.

In this case, the intersection of A and B is {5} because 5 is the only element present in both A and B.

Therefore, the statement "The intersection of A and B is empty" is false.

A ∪ B = U (Union of A and B is U):

False. The symbol "∪" represents the union of sets.

The union of A = {1, 3, 5, 7} and B = {4, 5, 6} is the set that contains all the elements present in A and B.

In this case, the union of A and B is {1, 3, 4, 5, 6, 7} because it includes all the elements from both A and B.

However, it does not include all the elements of U = {1, 2, 3, 4, 5, 6, 7, 8}, so the statement "The union of A and B is U" is false.

B ⊆ A (B is a subset of A):

False. A set B is considered a subset of set A if every element of B is also an element of A. In this case, B = {4, 5, 6}, but A = {1, 3, 5, 7}.

Since B contains elements (4 and 6) that are not present in A, B is not a subset of A.

Therefore, the statement "B is a subset of A" is false.

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After\ flying\ at\ an\ altitude\ of\ 600\ meters,\ a\ hot\ air\ balloon\ starts\ to\ descend.\ its\ g\operatorname{round}\ \operatorname{distance}\ from\ the\ landing\ pad\ is\ 10,000\ meters.\ What\ is\ the\ angle\ of\ depression,\ in\ degrees,\ \operatorname{for}\ this\ part\ of\ the\ flight\

Answers

Using the tangent side from trigonometric ratio, the angle of depression is 86.6 degrees

What is Angle of Depression

The angle created between the line of sight to a location below the horizontal line and the horizontal line of sight is known as the angle of depression.

The angle of depression that the balloon makes with the launch pad can be calculated using the trigonometric ratio.

Data;

Opposite = 10000madjacent = 600angle = ?

Since we have the opposite and adjacent side, we can use the tangent of the angle to find the angle of depression.

tanθ = opposite / adjacent

substituting the values into the formula

tan θ = 10000 / 600

tan θ = 100 / 6

tan θ = 16.666

θ = tan⁻¹(16.666)

θ = 86.6°

The angle of depression is 86.6°

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The area of a square garden is approximately 125 square feet. To the nearest foot, what is the length of the garden? Explain how you know in the work space provided.

Answers

Answer:

Length = 11.2 ft

Step-by-step explanation:

Area of a square garden = 125 square feet

Formula to find

Area of a square = length^2

Substitute the value of the Area of the square garden

Area of a square = length^2

125 = length^2

Find the square root of both sides

√125 = √length^2

11.18 = length

Approximately

Length = 11.2 ft

In a recent court case it was found that during a period of 11 years people were selected for grand jury duty and ​% of them were from the same ethnicity. Among the people eligible for grand jury​ duty, ​% were of this ethnicity. Use a significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, p-value, conclusion about the null​ hypothesis, and final conclusion that addresses the original claim. Use the​ p-value method and the normal distribution as an approximation to the binomial distribution.

Answers

The Null and Alternative hypothesis are

Hₒ: π= 0.79

Hₐ: π > 0.79

Statistic Z = -26.38

P-value = 0

Conclusion : The null hypothesis is

rejected .

Final Conclusion : which implies that population proportion is different from

π= 0.79.. This sample proportion can notbe product of chance.

There is enough evidence to support to the claim that selection of people is biased against allowing this ethnicity to sit on the grand jury.

We have problem of proportion and we have to apply hypothesis testing in it .

We claim that the selection is biased against allowing this ethnicity to sit on the grand jury. This means that proportion of people of enthic selected for jeury in a way below from proportion that eligible for jury .

Null and Alternative hypothesis are

Hₒ: π= 0.79

Hₐ : π> 0.79

The significance level is 0.01

The sample we will use is total of 876 people that were selected for grand jury duty (n= 876). 42% of them were entnicity for which we are testing , so sample proportion is p= 0.42

The standard error is

σₚ= s√ (π(1-π)/n)= √ 0.79 (1-0.79)/ 876 = √0.00019 = 0.0137~ 0.014

Then we can calculate Z – value

Z = (p-π+0.5/n)/ σₚ =( 0.42 – 0.79 + 0.5/876 )/ 0.014 = - 0.03964/0.014 = - 26.387

P-value for this test statistic is 0

P-value (z<-26.38)= 0

P-value = 0 < 0.01

As we see that P-value is less lower then significance level . This sample result is unpredictable. The null hypothesis is rejected which implies that population proportion is different from π= 0.79

This sample proportion can not be product of chance.

There is enough evidence to support to the claim that selection of people is biased against allowing this ethnicity to sit on the grand jury.

#Complete Question:

In a recent court case it was found that during a period of 11 years 876 people were selected for grand jury duty and 42% of them were from the same ethnicity. Among the people eligible for grand jury duty, 79.5% were of this ethnicity. Use a 0.01 significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. Which of the following is the hypothesis test to be conducted?

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A submarine is 84 feet below the surface of the water, and descends 10 feet deeper every minute. How many minutes will it take for the submarine to be located 219 feet below the surface? please help last question of the day

Answers

810 minutes

if u add ten to 219 each time u will get 13 and 5 left which is 13.5 and 13.5 in minutes equals 810

A policy analyst would like to predict salary from a set of four predictor variables for a sample of 45 athletic trainers. A multiple linear regression analysis was conducted. Complete the following ANOVA summary table for the test of significance of the overall regression model. Except for the P-value, report all answers accurate to 3 decimal places; report the P-value accurate to 4 decimal places. Use a significance level of α=0.05.

Source SS df MS F P-value
Regression 20
Residual 400
TOTAL


What is your decision for the hypothesis test?

Reject the null hypothesis, H0:β1=β2=...=β4=0
Fail to reject H0


What is your final conclusion?

The evidence supports the claim that one or more of the regression coefficients is non-zero
The evidence supports the claim that all of the regression coefficients are zero
There is insufficient evidence to support the claim that at least one of the regression coefficients is non-zero
There is insufficient evidence to support the claim that all of the regression coefficients are equal to zero

Answers

To make a decision for the hypothesis test, we need to analyze the ANOVA summary table for the test of significance of the overall regression model.

From the table, we can see that the regression sum of squares (SS) is given as 20, and the residual sum of squares (SS) is given as 400. We also know that the total sum of squares (SS) is the sum of the regression SS and the residual SS.

Since the degrees of freedom (df) for the regression model is equal to the number of predictor variables (k) minus 1 (k - 1), and the df for the residual is the total sample size (n) minus the number of predictor variables (k), we can calculate the df for the regression and the residual.

Given that the sample size (n) is 45 and the number of predictor variables (k) is 4, we can calculate:

df for regression = k - 1 = 4 - 1 = 3

df for residual = n - k = 45 - 4 = 41

Next, we need to calculate the mean square (MS) for the regression and the residual by dividing the SS by their respective degrees of freedom.

MS for regression = SS for regression / df for regression = 20 / 3

MS for residual = SS for residual / df for residual = 400 / 41

Finally, we can calculate the F-statistic by dividing the MS for regression by the MS for residual.

F = (MS for regression) / (MS for residual)

Now, we can compare the calculated F-statistic to the critical F-value at the given significance level (α = 0.05). If the calculated F-statistic is greater than the critical F-value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Without the information of the critical F-value or the calculated F-statistic, we cannot make a definitive decision or final conclusion for the hypothesis test. Please provide the necessary values, and I will be able to help you with the decision and conclusion.

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In another of David Tilman's competition experiments with diatom species, he pitted a species of Fragilaria against a species of Tabellaria. In this experiment, silcate was the limiting resource. In the absence of the interspecific competition, Fragilaria and Tabellaria had intrinsic rates of growth 0.62/day and 0.74/day, respectively. When at equilibrium in the absence of interspecific competition, the silicate concentration was 1.0 micromolars/liter with only Fragilaria present and 9.7 micromolars/liter with only Tabellaria present. When the two diatom species are placed in the same container, the _________ predicts that ________.

Answers

In the competition experiment between Fragilaria and Tabellaria diatom species, where silicate was the limiting resource, the two species were placed together in the same container.

The competitive exclusion principle, proposed by ecologist Georgii Gause, states that two species with identical resource requirements cannot coexist indefinitely in the same ecological niche. In this experiment, Fragilaria and Tabellaria were both diatom species competing for limited silicate resources. In the absence of interspecific competition, Fragilaria had a lower intrinsic growth rate of 0.62/day, while Tabellaria had a higher intrinsic growth rate of 0.74/day.

When each species was alone in the container, the equilibrium silicate concentrations were 1.0 micromolars/liter for Fragilaria and 9.7 micromolars/liter for Tabellaria. However, when the two species were placed together, the competitive exclusion principle predicts that the species with the higher intrinsic growth rate, Tabellaria, will outcompete Fragilaria for the limited silicate resource. As a result, Tabellaria is expected to increase in abundance, leading to a decrease in silicate concentration and potentially driving Fragilaria to extinction.

In summary, the competitive exclusion principle predicts that in the presence of interspecific competition and limited resources, one species (Tabellaria) will outcompete the other (Fragilaria) and eventually lead to the exclusion or extinction of the inferior competitor.

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It is desired to estimate the mean GPA of each undergraduate class at a large university. How large a sample is necessary to estimate the GPA within at the confidence level

Answers

The sample size necessary to estimate the mean GPA within a desired confidence level depends on the desired confidence level, margin of error, and the variability of the GPA. Without specific values for these parameters, it is not possible to determine the exact sample size required.

To calculate the necessary sample size, you need to consider the desired confidence level, margin of error, and the standard deviation of the GPA. The formula to calculate the sample size is:

n = (Z^2 * σ^2) / E^2

Where:

n = required sample size

Z = Z-score corresponding to the desired confidence level

σ = standard deviation of the GPA

E = margin of error (desired precision)

The Z-score depends on the desired confidence level. For example, if you want a 95% confidence level, the Z-score would be approximately 1.96. The standard deviation (σ) can be estimated from a pilot study or previous data. The margin of error (E) determines how precise you want the estimate to be.

To determine the sample size necessary to estimate the mean GPA within a desired confidence level, you need to specify the confidence level, margin of error, and the standard deviation of the GPA. By plugging in these values into the formula, you can calculate the required sample size. Keep in mind that a larger sample size generally leads to a more precise estimate, but it also requires more resources and time to collect the data.

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the formula for finding the surface area of a cylinder is sa = πr2 πrh . truefalse unlimited attempts remain

Answers

The statement ''the formula for finding the surface area of a cylinder is sa = πr2 πrh.'' is false because the formula for finding the surface area of a cylinder is given by: SA = 2πrh + 2πr^2 , where SA represents the surface area, r is the radius of the base, and h is the height of the cylinder.

The first term, 2πrh, represents the area of the curved surface of the cylinder (the lateral surface area), which is a rectangle that wraps around the cylinder. It is calculated by multiplying the height of the cylinder by the circumference of the base.

The second term, 2πr^2, represents the areas of the two circular bases of the cylinder.

By adding these two terms together, we obtain the total surface area of the cylinder.

Therefore, the correct formula for finding the surface area of a cylinder is SA = 2πrh + 2πr^2.

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Directions: Choose the best answer to each multiple choice question below. 1. Find the area of the following triangle. Round your answer to the nearest tenth a=2, b= 6 2. Find the area of the followin

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The area of the given trapezoid is 40 square units.

1. The given values of a and b are sides of a right angled triangle.

Hence, the third side c can be found using the Pythagorean theorem.  

c^2 = a^2 + b^2  

c^2 = 2^2 + 6^2  

c^2 = 40  

c = sqrt(40)  

c = 2*sqrt(10)  

Now, the semi-perimeter of the triangle is s = (a+b+c)/2  s = (2+6+2*sqrt(10))/2  s = 4+sqrt(10)  

Using Heron's formula, the area of the triangle is

A = sqrt(s(s-a)(s-b)(s-c))  

A = sqrt((4+sqrt(10))(2+sqrt(10))(4-sqrt(10))(2-sqrt(10)))  

A = sqrt(4(4-10))(2+sqrt(10))(2-sqrt(10))  

A = sqrt(-24)(4)  

A = sqrt(96)  

A = 9.8  

Hence, the area of the given triangle is 9.8 square units.2.  

Area of trapezoid is given by the formula, A = (1/2)(sum of parallel sides)(distance between them)  

Here, the parallel sides are 6 and 10, and the distance between them is 5.  

A = (1/2)(6+10)(5)  

A = 16*2.5  

A = 40  

Hence, the area of the given trapezoid is 40 square units.

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why is the graph of the rose curve r=4cos2theta

why is the graph of the rose curve r=4cos2theta

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Answer:

The correct answer is B.

Step-by-step explanation:

Any point can be represented in polar form by using the notation:

\(A = (r, \theta)\) (1)

And any polar function must satisfy the following definition:

\(r = f(\theta)\)

Let \(r(\theta) = 4\cdot \cos 2\theta\), where \(r\) is the radial distance of any point of the curve from origin and \(\theta\) is the direction of any point of the curve with respect to +x semiaxis, measured in radians.

Finally, we proceed to graph the function with the help of a graphing tool and attach the result.

Besides, we must remember that cosine is a bounded function, which means that domain and range in rectangular coordinates are represented by:

\(Dom\{f\} = [-4,4]\), \(Ran\{f\} = [-4,4]\)

Then, the correct answer is B.

why is the graph of the rose curve r=4cos2theta

I am stuck on this question and i honestly am stuck and do not know what to do.

I am stuck on this question and i honestly am stuck and do not know what to do.

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The basic parts of a circle include its diameter, circumference, radius, arc, chord, tangent, tangent, section, and segment.

What is Circle radius?

the surface or circumference of a circle, ball, and other object measured in a straight line The radius and diameter of a circle are equal. The length of such a line. whatever radiating or radial component. A circle's chord is the line segment that connects any two locations on the circle's circumference. It should be remembered that a circle's diameter is defined as the lengthiest chord that runs across the center of the circle.

Here,

given

The letter "C" should be in the center.

radius=r=AC=CB

Diameter=d=2r=AB.

Therefore , the solution to the given problem of circle comes out to be ,the basic parts of a circle include its diameter, circumference, radius, arc, chord, tangent, tangent, sector, and segment.

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An ancient ruler is 9 inches long. The only marks that remain are at 1 inch and 2 inches, 9 inches and one mark. It is possible to draw line segments of the whole number lengths from 1 to 9 inches without moving the ruler. What inch number is on the other mark

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If the only marks that remain are at 1 inch and 2 inches, 9 inches and one mark, the missing mark corresponds to the number 6.

This is a classic problem in recreational mathematics, also known as the "burnt ruler problem". To solve it, we need to think creatively and use rational expressions and equations.

First, we note that the distance between the two marks is 9-2=7 inches. We can imagine the ruler as a number line from 0 to 9, where the two marks correspond to the numbers 1 and 2. We want to find the other mark, which corresponds to some number x between 2 and 9.

Next, we observe that we can use the ruler to construct line segments of length 1, 2, 3, 4, 5, 6, 7, 8, and 9 by adding or subtracting these lengths using the two marks as reference points. For example, we can construct a line segment of length 3 by starting at the mark at 2, moving 1 inch to the right, and then moving 2 more inches to the right.

Now, we notice that any line segment of length n can be expressed as a difference of two line segments of smaller lengths. For example, a line segment of length 7 can be expressed as the difference between a line segment of length 2 and a line segment of length 5. More generally, we can write:

n = a - b

where a and b are integers between 1 and n-1.

Using this observation, we can try to find a way to express the length of the missing segment x as a difference of two integers between 1 and 7. We can start by listing all possible values of a and b:

a=2, b=1: 2-1=1

a=3, b=1: 3-1=2

a=4, b=1: 4-1=3

a=5, b=1: 5-1=4

a=6, b=1: 6-1=5

a=7, b=1: 7-1=6

a=3, b=2: 3-2=1

a=4, b=2: 4-2=2

a=5, b=2: 5-2=3

a=6, b=2: 6-2=4

a=4, b=3: 4-3=1

a=5, b=3: 5-3=2

a=6, b=3: 6-3=3

a=5, b=4: 5-4=1

a=6, b=4: 6-4=2

a=6, b=5: 6-5=1

We notice that the only values of a and b that work are 6 and 1, respectively, since 6-1=5, which is the length of the line segment between the two marks that was not given.

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HELP HELP HELP HELP HELP

HELP HELP HELP HELP HELP

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Answer: 32 = 2^y2^5 = 2^ycancel the like terms which is 2 and you will be left with5 = y

calculate the following 2 3/4 / 5/12 (3 2/11)​

Answers

Step-by-step explanation:

11/4 X 5/12

Lcm of denominators= 12

11 3 33

X =

4 3 12

33/12 X 5/12 = 165/12

Hope it's correct

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The line produced by the equation Y=4X−5 crosses the vertical axis at Y=5 .a. True.b. False.

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false. The vertical axis is the y-axis, which is where x=0. In this equation, when x=0, we have: y=4(0)-5
y=-5

Therefore, the line produced by the equation Y=4X−5 crosses the vertical axis at y=-5, not y=5.

To further understand this concept, we can visualize the equation on a graph. When we plot the points (0,-5) and (1,-1) (which is found by substituting x=1 into the equation), we can draw a line that passes through both points. This line is the graph of the equation Y=4X−5. We can see that the line crosses the vertical axis (y-axis) at y=-5, which confirms that the answer is false.

In summary, the equation Y=4X−5 crosses the vertical axis (y-axis) at y=-5, not y=5.

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In a random experiment there are 8 possible outcomes, and two of them correspond to a favorable event. What is the classical probability of the event

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The classical probability of the given event is 1/4 or 0.25 or 25%.

The classical property of an event is the ratio of the total number of outcomes favorable to the event to the total number of outcomes in the experiment.

If we suppose an event A.

The total number of favorable outcomes to event A to be n.

The total number of possible outcomes in the experiment to be S.

Then, the classical probability of event A is given as:

P(A) = n/S.

In the question, we are informed that in a random experiment there are 8 possible outcomes, and two of them correspond to a favorable event.

We are asked to find the classical probability of the event.

As we know, the classical probability of an event is the ratio of the number of favorable outcomes to the event to the total number of possible outcomes in the experiment.

Thus, the classical probability = 2/8 = 1/4 or 0.25 or 25%.

Thus, the classical probability of the given event is 1/4 or 0.25 or 25%.

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