Question 3 (1 point)
Which of the choices is NOT a good example of a line of best fit?
A.
B.
C
D

Answer:

14 x  1.5   =  24

----     =       -----            x == 9

6  x  1.5  =   6

Step-by-step explanation:

The triangle is enlarged by a scale of 1.5

so the side with a measure of 14 is multiplied by 1.5 to get 24

So to find x we multiply the measure of the original side (6) by 1.5

6 x 1.5 = 9

so the measure of x is 9ft

The way the flashback in these paragraphs advance the plot is C. It introduces Evan's motivation for working in the garden with Grandfather.

The technique of flashback in storytelling involves interrupting the chronological order of events to depict an earlier event or scene. It uses time travel to furnish the audience with necessary backstory, context, or a deeper understanding of the characters.

The technique of flashbacks is frequently employed as a means of divulging previous occurrences, recollections, or incidents that hold significance to the present narrative being conveyed.

Hence, it can be seen from the given text that the use of flashback helps show the motivation which Evans had for working in the garden with Grandfather

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In a chi-square test for homogeneity of proportions,we test whether different populations have the same proportion of individuals with some characteristic.

Used to test whether different populations have the same proportion of individuals with a particular trait. Suppose we have three populations with four mutually exclusive characteristics. Randomly sample each population and create a crosstabulation or frequency table of the traits you are measuring. If you want to test whether there is an association between a population and a trait (for example, whether the population has a high frequency of one trait), perform a chi-square test to see if the result is significant must be confirmed.

If the chi-square test is significant, it only tells us that there is some relationship between the population and the trait, not how they are related. Also, not all traits need to be population related. For example, the chi-square test can be considered significant even if features A and B have very different distributions, and C and D have very different distributions, for different populations. If you want to measure whether a particular trait is influenced by the population, use an equal proportions test (I call it the z-test, or prop.test() in R) for exactly that trait. You can do. In other words, if the chi-square test reveals a significant relationship, it is appropriate to use prop.test() to more accurately determine the nature of the relationship between the two sets of categories.

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Answer:

(3b - 1)(3b + 1).

Step-by-step explanation:

Difference of 2 squares:

a^2 - b^2 = (a - b)(a + b) so here we have:

9b^2 - 1 = (3b - 1)(3b + 1).

Answer:

is there supposed to be a picture?

Step-by-step explanation:

The surface region of the cylinder will be 301.44 square inches.

Let r be the radius and h be the altitude of the cylinder. Then the surface region of the cylinder will be given as,

SA = 2πrh + 2πr² square units

The radius of the cylinder is 4 inches and the height of the cylinder is 8 inches.

Then the surface area of the cylinder is calculated as,

SA = 2πrh + 2πr²

SA = 2 x 3.14 x 4 x 8 + 2 x 3.14 x 4²

SA = 200.96 + 100.48

SA = 301.44 square inches

The surface region of the cylinder will be 301.44 square inches.

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Answer:

128 ounces

Step-by-step explanation:

One pound is equal to 16 ounces. Therefore, to convert pounds to ounces, you can multiply the number of pounds by 16.

In this case, since you have 8 pounds, you can multiply 8 by 16 to get the number of ounces.

8 x 16 = 128

Therefore, 8 pounds is equal to 128 ounces.

Answer: 128 ounces

Step-by-step explanation: multiply 8 by 16

At a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

According to the given model C = 0.37219T + 1,560, where C represents the number of calories an idle mouse burns each day and T represents the temperature of its environment in °C.

To find the most comfortable temperature for an idle mouse, we need to determine the temperature at which the mouse burns the least amount of calories per day.

To find this temperature, we can minimize the equation C = 0.37219T + 1,560. To do so, we take the derivative of C with respect to T and set it equal to zero:

dC/dT = 0.37219 = 0

Solving this equation, we find that the derivative is a constant value, indicating that the function C = 0.37219T + 1,560 is a linear equation with a slope of 0.37219. This means that the mouse burns the least calories at any temperature, as the slope is positive.

Therefore, there is no specific "most comfortable" temperature for an idle mouse in terms of minimizing calorie burn. However, if we consider the range of temperatures mice typically encounter, we can find a temperature where the calorie burn is relatively low.

For example, if we take a temperature of 20°C, we can calculate the calorie burn:

C = 0.37219 * 20 + 1,560

C = 7.4438 + 1,560

C ≈ 1,567.4438 calories per day

Therefore, at a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

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Answer:

yes

Step-by-step explanation:

because to find every combination of \(\frac{p}{q}\), where p is a factor of the constant and q is a factor of leading coefficient

Answer:

a. proportions have not changed significantly

Step-by-step explanation:

Given

Business College= 35 %

Arts College= 35 %

Education College = 30%

Calculated

Business College = 90/300= 9/30= 0.3 or 30%

Arts College= 120/300= 12/30= 2/5= 0.4 or 40%

Education College= 90/300= 9/30 = 0.3 or 30%

First we find the mean and variance of the three colleges using the formulas :

Mean = np

Standard Deviation= s= \(\sqrt{npq\\}\)

Business College

Mean = np =300*0.3= 90

Standard Deviation= s= \(\sqrt{npq\\}\)=\(\sqrt{0.3*0.7*300}\)= 7.94

Arts College

Mean = np =300*0.4= 120

Standard Deviation= s= \(\sqrt{npq\\}\)=\(\sqrt{0.4*0.6*300}\)=  8.49

Education College

Mean = np =300*0.3= 90

Standard Deviation= s= \(\sqrt{npq\\}\)=\(\sqrt{0.3*0.7*300}\)= 7.94

Now calculating the previous means with the same number of students

Business College

Mean = np =300*0.35= 105

Arts College

Mean = np =300*0.35= 105

Education College:

Mean = np =300*0.3= 90

Now formulate the null and alternative hypothesis

Business College

90≤ Mean≥105

Arts College

105 ≤ Mean≥ 120

Education College

U0 : mean= 90     U1: mean ≠ 90

From these we conclude that the  proportions have not changed significantly meaning that it falls outside the critical region.

The value of k is 18.

If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.

Substituting x = -2 into f(x), we have:

f(-2) = (-2)³ + 5(-2) + k

= -8 - 10 + k

= -18 + k

Since f(-2) should equal zero, we have:

-18 + k = 0

k = 18

Therefore, the value of k is 18.

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Answer:

103.5°

Step-by-step explanation:

Let "x" represent the missing angle.

Vertex formed = ½(the sum of the intercepted arcs) based on the intersecting chords theorem.

Therefore:

m<x = ½(195 + 12)

m<x = ½(207)

m<x = 103.5

MIssing angle is therefore 103.5°

4580 or 4600 is the best answer I have gotten for this question

Answer:

0.4470 = 44.70% probability of a random person on the street having an IQ score of less than 98.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

What is the probability of a random person on the street having an IQ score of less than 98?

This is the pvalue of Z when X = 98. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{98 - 100}{15}\)

\(Z = -0.1333\)

\(Z = -0.1333\) has a pvalue of 0.4470

0.4470 = 44.70% probability of a random person on the street having an IQ score of less than 98.

Answer: \(108^{\circ}\)

Step-by-step explanation:

\(\angle 4\) and \(\angle 5\) are supplementary since they are consecutive interior angles.

The equation that represent the number of penguins is (6 ×  4) + (3 × 6) + (3 × 6) = p.

A building has 6 homes per floor and 3 floors. On the first floor, there are 4 penguins per home. On the second and third floor, there are 3 penguins per home.

Therefore, the equation that can be used to find the total number of penguins living in the building is as follows:

Hence,

(6 ×  4) + (3 × 6) + (3 × 6) = p

where

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Answer:

Step-by-step explanation:

An 86% confidence interval for the difference in age to leave mother is -3.10091

What is confidence Interval?

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.

Given, Gorilla Baby sample

x means x bar here so, \(x_{1}\) = 3.21

\(s_{1}\) = 0.81

\(n_{1}\) = 64

Human Baby sample

x means x bar here so, \(x_{2}\) = 19.1

\(s_{2}\) = 2.16

\(n_{2}\) = 200

Confidence interval needs t score

t score = 1.18

86% confidence interval = \(x_{1}\) - \(x_{2}\) ± tc \(\sqrt{s^{2} {1} / n_{2} + s^{2} {2} / n_{2}\)

= 3.21 - 19.1 ± 1.18 √0.81²/64 +2.16²/200

= 3.21 - 19.1 ± 1.18 √0.033

= -3.10091

An 86% confidence interval for the difference in age to leave mother is -3.10091

The detail question is here,

A study based on the Association primate Ebmarah looked at the average age a baby gorilla leaves it’s mother versus the average age the human baby leaves it’s mother . Naturally they are different , so we don’t want a hypothesis test. Instead, find an  86% confidence interval  for the difference in age to leave mother.

Gorilla:

Sampled 64 babies

Stayed with mother on average 3.21 years

Standard deviation:  0.81

Human:

Sampled  200 babies

Stayed with mother on average 19.1 years

Standard deviation:  2.16

Matched  pairs  standard deviation :0.23

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Answers:

Problem 3) transformation is \((\text{x},\text{y})\to(\text{x}-5,\text{y}+2)\)

Problem 4) transformation is \((\text{x},\text{y})\to(\text{x}+3,\text{y}+1)\)

=====================================================

Explanation for problem 3

preimage point L is at (1, -1)

image point L' is at (-4, 1)

When going from x = 1 to x = -4, we shift left 5 units. So we'll have x-5 as part of the transformation.

When going from y = -1 to y = 1, we'll shift 2 units up and involve y+2

Since we have x become x-5, and y become y+2, the transformation is \((\text{x},\text{y})\to(\text{x}-5,\text{y}+2)\\\\\)

Let's test the transformation on point L(1,-1)

\((\text{x},\text{y})\to(\text{x}-5,\text{y}+2)\\\\(1,-1)\to(1-5,-1+2)\\\\(1,-1)\to(-4,1)\\\\\)

which helps confirm we have the correct transformation. I'll let you check the other points M and N.

-----------------------------------------------------------------

Explanation for problem 4

When going from L to L', we need to shift 3 units to the right. Each x becomes x+3

This tells us to shift up 1 unit. The y coordinate becomes y+1

So we can say

\(\text{x} \to \text{x}+3\\\\\text{y} \to \text{y}+1\)

which condenses to the notation

\((\text{x},\text{y})\to(\text{x}+3,\text{y}+1)\\\\\)

Let's test this transformation on point M(-5,-1) and we should get to M'(-2,0)

\((\text{x},\text{y})\to(\text{x}+3,\text{y}+1)\\\\(-5,-1)\to(-5+3,-1+1)\\\\(-5,-1)\to(-2,0)\\\\\)

This confirms the translation rule works for point M.

I'll let you check the other points L and N.

Answer:

\(\textsf{3.} \quad (x,y) \rightarrow (x-5,y+2)\)

\(\textsf{4.} \quad (x,y) \rightarrow (x+3,y+1)\)

Step-by-step explanation:

Given vertices of ΔLMN:

Given vertices of ΔL'M'N':

From inspection of the given diagram, we can see that the two triangles are congruent since their corresponding angles and corresponding side lengths are the same.  

There is no apparent reflection or rotation, so the transformation of ΔLMN to ΔL'M'N' is by translation.

To find the mapping rule for the translation, choose one pair of corresponding vertices and determine the difference between the x and y values of the translated point and the original point:

\(x_{M'}-x_M =-1-4=-5 \implies \textsf{5 units left}\)

\(y_{M'}-y_M =3-1=2 \implies \textsf{2 units up}\)

Therefore, the mapping rule for the translation is:

\((x,y) \rightarrow (x-5,y+2)\)

Given vertices of ΔLMN:

Given vertices of ΔL'M'N':

From inspection of the given diagram, we can see that the two triangles are congruent since their corresponding angles and corresponding side lengths are the same.  

There is no apparent reflection or rotation, so the transformation of ΔLMN to ΔL'M'N' is by translation.

To find the mapping rule for the translation, choose one pair of corresponding vertices and determine the difference between the x and y values of the translated point and the original point:

\(x_{L'}-x_L =-3-(-6)=3 \implies \textsf{3 units right}\)

\(y_{L'}-y_L =-3-(-4)=1 \implies \textsf{1 units up}\)

Therefore, the mapping rule for the translation is:

\((x,y) \rightarrow (x+3,y+1)\)

The equation that results if Kiran squares both sides as his first step is gotten as; x + 2 - 10√(x + 2) + 25 = 121

We want to simplify the expression;

[√(x + 2)] - 5 = 11

Squaring both sides is;

([√(x + 2)] - 5) * ([√(x + 2)] - 5) = 11 * 11

⇒ x + 2 - 10√(x + 2) + 25 = 121

Thus, the correct answer is;

x + 2 - 10√(x + 2) + 25 = 121

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The slope of the graph that models the amount Sarah owed after a given number of x months, represents the monthly payment Sarah makes to repay the loan

Monthly payment on a loan is the payment made each month within the period specified in the loan, to repay the loan and the interest on the loan.

The given parameters of the graph are;

Information on the graph = The amount owed for a number of x months

Taking the y–axis (Vertical axis) of the graph as specifying the amount owed given in Dollars, and the x–axis as the number of months of payment, we have;

\( \displaystyle{Slope = \frac{\Delta y}{\Delta x}} \)

Where;

∆y = Change in the amount Sarah owes

∆x = Change in the time

Which gives;

\( \displaystyle{Slope = \frac{Change\: in\: the\: amount \:owed}{Change\: in\: time }}\)

Whereby the graph is a straight line graph, we have;

The slope = Constant

Therefore, the change in the amount owed over a given time frame such a month, is constant

Which gives;

The slope represents the amount by which the Sarah's student loan changes each month, which is equivalent to and therefore;

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The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is  (APR / 365) x 30 days x adjusted balance.

The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.

The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.

Credit card interest method = adjusted balance method

Beginning balance = $780

Purchase = $170

Payment = $210

Adjusted balance, AB = $740 ($780 + $170 - $210)

APR = 17% = 0.17 (17/100)

The interest charged = (APR / 365) x 30 days x adjusted balance

= $10.34 [(0.17/365) x 30 x $740]

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Answer:

2.04

Step-by-step explanation:

basically you want to do

4.08

     2

2.04

just divide 8 by 2 which equals 4 and then 0 divided by 2 isnt anything so you do 4 divided by 2 equals 2.

hope this helps!!

Answer:

37 pies and 42 bottles of juice

Step-by-step explanation:

Let x be pies and y be juice

x+y=79 represents # of items sold

1.65x+1.36y=118.17 represents how many of each to make $118.17 based on cost

y=-x+79

1.65x+1.36(-x+79)=118.17

x=37

79-37=42

A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.

A set that includes all or a portion of another set's elements is known as a subset. For instance, because every even integer is also an integer, the set of even integers is a subset of the set of integers. A subset that contains some, but not all, of the members of another set is said to be a proper subset. Because it contains some, but not all, of the positive integers, the set of positive integers less than 10 is a valid subset of the set of positive integers.

A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.

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Cone B does not have volume 48bold pi cubic units with these dimensions, but it does have the same volume as Cone A because they both have volume 48bold pi cubic units.

A cone, also known as a vertex, is a three-dimensional polygonal object with a flat base and a soft tapering apex. In a plane with no vertices, a cone is formed by connecting a story arc of lines, half-lines, but rather routes those are common to all focuses on the outpost. A cone is a muti structure with just a peaceful transition from a flat, round or, base towards the vertex and apex, which represents as the base's axis. A three-dimensional polygonal shape with only an upwardly flat curved surface is known as a cone.

Because Cone A has a volume of 48bold pi cubic units, we can use the volume of a cone formula to calculate its height:

Cone volume = 1/3 * base area * height

1/3 * pi * 62 * 4 = 48bold pi

48pi = 48bold pi

As a result, Cone A's height is 4 units. The radius is also 6 units, as we can see.

Cone volume = 1/3 * base area * height

\(1/3 * pi * r2 * h = 48\\144 = r^2 * h\\144 = 8^2 * 3\\144 = 192\)

Cone B does not have volume 48bold pi cubic units with these dimensions, but it does have the same volume as Cone A because they both have volume 48bold pi cubic units.

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9514 1404 393

Answer:

Step-by-step explanation:

The relationship between time, speed, and distance is ...

  time = distance/speed

__

a) For 1 km, the time in hours is ...

  time = (1 km)/(3.5 km/h) = 1/3.5 h = 2/7 h

In minutes, that is ...

  (60 min/h)(2/7 h) = 120/7 min = 17 1/7 min . . . . time for 1 km

__

b) The time for 10 km is 10 times the time for 1 km, so will be ...

  (10)(2/7 h) = 20/7 h = 2 6/7 h

In hours and minutes, that is 2 hours and (6/7)(60 min) = 360/7 min = 51 3/7 min.

The time for 10 km is 2 hours 51 3/7 minutes.

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.

The profit function is given by P(x) = -50x + 20,000x - 1,500,000.

To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:

-50x + 20,000x - 1,500,000 > 0.

Combining like terms, we have:

19,950x - 1,500,000 > 0.

Now, let's solve this inequality for x:

19,950x > 1,500,000.

Dividing both sides by 19,950, we get:

x > 1,500,000 / 19,950.

Simplifying the right side, we have:

x > 75.

The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

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Solution:

Given;

From the above illustration, the correct option is;

Answer:

No, the Normal/large sample condition is not met. A confidence interval assumes that the underlying population follows a normal distribution and that the sample size should be at least 30. Since the sample size in this case is only 10, the Normal/Large Sample condition is not met and the conditions for constructing a confidence interval are not met.