Geometry Questions I can't figure out.. Please help!! Will mark brainliest!!!
Match the statement with the correct reason.

Step-by-step explanation:

the median is the value, where half of the other values is lower and the other half is higher.

so, when sorting these 7 numbers we get

10, 11, 12, 13, 14, 15, 16

and the median is 13.

as 10, 11, 12 are lower.

and 14, 15, 16 are higher.

The confidence interval of (3.53, 3.83) hours contains the mean hours that U.S. adults have for leisure time after an average workday.

From the question, we have the following parameters that can be used in our computation:

Sample size, n = 1154

Also, we have

A 95% confidence interval from the 2010 GSS survey for the collected answers is 3.53 to 3.83 hours.

The interpretation of the above confidence interval is that 3.53 to 3.83 hours contains the required mean hours

Hence, the true statement is (c) and others are false

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Question

The General Social Survey (GSS) is a sociological survey used to collect data on demographic characteristics and attitudes of residents of the United States. In 2010, the survey collected responses from 1,154 US residents. The survey is conducted face-to-face with an in-person interview of a randomly selected sample of adults. One of the questions on the survey is “After an average workday, about how many hours do you have to relax or pursue activities that you enjoy?” A 95% confidence interval from the 2010 GSS survey for the collected answers is 3.53 to 3.83 hours.

Identify each of the following statements is true or false. Explain your answers.

1. If the researchers wanted to report a confidence interval with a smaller margin of error based on the same sample of 1,154 Americans, the confidence interval would be larger.

2. We can be 95% confident that the interval (3.53, 3.83) hours contains the mean hours that the sampled adults have for leisure time after an average workday.

3. The confidence interval of (3.53, 3.83) hours contains the mean hours that U.S. adults have for leisure time after an average workday.

If the researchers wanted to report a confidence interval with a smaller margin of error based on the same sample of 1,154 Americans, the confidence interval would be larger.

A confidence interval (CI) is a range of values within which the true population parameter is estimated to lie with a specific level of confidence. The confidence interval is a probability statement that reflects the amount of uncertainty associated with the sample estimate.

The level of confidence that the true population parameter falls within the calculated confidence interval is called the confidence level.

In statistics, a sample is a subset of a population that is used to investigate the properties of the population. The sampling process entails selecting a subset of individuals from a population. As a result, the accuracy of the sample's results in representing the population is critical.

The larger the sample size, the better it represents the population, and the lower the margin of error. When reporting a confidence interval, the larger the margin of error, the larger the range of values in which the true population parameter can lie. When a confidence interval with a smaller margin of error is required, the sample size should be increased to reduce the margin of error and produce a more precise estimation of the true population parameter.

As a result, if the same sample of 1,154 Americans is used, the confidence interval would have to be larger to obtain a smaller margin of error.

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1) Given that 1789 children visited a Taco Bell in 24 hours. We can calculate the number of students who went every hour by dividing this number by the number of hours:

\(1789 / 24 = 74.54\\\frac{1789}{24} = 74.54\)

We get 75 students each hour, rounded up to the nearest whole number.

If 24 children shared, we can calculate the total number of children who shared by multiplying the number of hours by the number of children shared every hour:

24 x 75 = 1800

As a result, 1800 children shared.

2)If 1638 men cheated on their wives in one week, multiplying by 7 gives us the number of men who cheated on their wives in seven weeks:

1638 x 7 = 11,466

As a result, 11,466 men cheated on their wives in just 7 weeks.

c) If 47% of the men who cheated on their spouses in 7 weeks cheated numerous times before, we can calculate the number of men who cheated previously by multiplying the total number of men who cheated by the proportion of men who cheated previously:

11,466 x 0.47 = 5,390.02

Rounding to the nearest whole number, we get 5,390 men who have cheated in the past.

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The L angle is used for measuring the area of the rectangle.

A right angle is one that is 90 degrees in length. It is the most frequently encountered angle in our daily lives. It can be noticed in room corners, box edges, mobile phone screens, and so on.

A square's and a rectangle's sides always make a right angle with each other. It is represented in radians as /2.

The angle formed by two lines that are perpendicular to each other is called a right angle. A right angle is equal to 90° and is in the shape of the letter "L". In the following figure, ray AB and BC form a right angle ABC.

Thus, the L angle is used for measuring the area of the rectangle.

Complete question: What measurement is L angle used for?

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If a function is not continuous, it may or may not be differentiable.

The differentiability of a function is not determined solely by its continuity.

A continuous function is a function that can be drawn without picking up a pen. In mathematical terms, a function f(x) is continuous if, as x approaches a point a, f(x) approaches f(a).

For a function to be differentiable, it must be continuous. If a function is not continuous, it is not differentiable. However, the opposite is not always true; a function may be continuous but not differentiable.

In summary, a function that is not continuous may or may not be differentiable, while a function that is differentiable must be continuous.

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Answer:

value should be 60. all angles are the same and are acute. all angles are the same so it is an Equiangular triangle

Answer:

PH/RC

Step-by-step explanation:

The statement of similarity of two triangle shows you which sides are corresponding by listing the vertices of the two triangles is the correct order.

CAR   HOP    -------> OP/AR

CAR   HOP    -------> PH/RC

Answer:

165 ver una pelicula de terror, 137.5 (138) ver una novela, y 247 ver una pelicula de ciencia ficcion.

Step-by-step explanation:

0.3 x 550 = 165

0.25 x 550 = 137.5 --> 138

165 + 138 = 303

550 - 303 = 247

The correct answer is the rate of change is 6 over interval 1 ≤ x ≤ 4 and the rate of change is 6 over interval 2 ≤ x ≤ 4  

Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. In general, the formula for rate of change is: R = (D2 - D1)/T. where: R = rate of change.

Given that is a table, we need to find the average rate of change for the function,

a = 1, f(a) = 1

b = 2, f(b) = 3

Average rate of change is given by = f(b)-f(a) / b-a

= 3-1 / 2-1

= 2

a = 3, f(a) = 7

b = 4, f(b) = 15

Average rate of change is given by = f(b)-f(a) / b-a

= 15-7 / 4-3

= 8

a = 2, f(a) = 3,

b = 3, f(b) = 7

Average rate of change is given by = f(b)-f(a) / b-a = 4

Hence, the correct answer is the rate of change is 6 over interval 1 ≤ x ≤ 4 and the rate of change is 6 over interval 2 ≤ x ≤ 4  

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The probability that a randomly selected student majors in business or economics is 44.8%.

Let 'B' be the students of business.

P(B) = 35.1%

Let 'E' be the students of business.

P(E) = 12.3%

Thus,

P(E ∩ B) = 2.6%

P(E ∪ B) = probability for student majors in business or economics.

P(E ∪ B) = P(B) + P(E) - P(E ∩ B)

Put the values-

P(E ∪ B) = 35.1% + 12.3% -  2.6%

P(E ∪ B) = 44.8%

Thus, the probability that a randomly selected student majors in business or economics is 44.8%.

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There are 6 values of the displacement of the string at x = 5.0 m at 1 s intervals from t = 0 s to t = 6 s.

All the numbers between two specific integers are referred to as an interval. All actual values between those two are included in this range. A set of real numbers known as an interval in mathematics contains all real numbers falling inside any two of the set's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 ≤x≤ 1.

Given

A snapshot graph at t = 0 s of two waves on a string approaching each other at 1 m/s.

The values of the displacement of the string at x = 5.0 m at 1 s intervals from t = 0 s to t = 6 s are,

At t = 0

s,=>Y₀= 0 cm

At t =1

s,=>Y₁= 0 cm

At t = 2

s,=>Y₂= 0 cm

At t =3

s,=>Y₃= 0 cm

At t =4

=>Y₄= 0 cm

At t = 5 s,

=>Y₅=0 cm

At t = 6

s,=>Y₆= 0 cm

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Answer:

45%

Step-by-step explanation:

Counting the marbles, there are 5 green, 6 blue and 9 red.

Which means the odds of drawing a red to a non red are 11:9

In fraction form that would be 9 marbles out of 20 are red. 9/20

Since the fraction cannot be simplified, we can go to decimal form.

9/20=.45

.45=45%

The answer is 45%.

Answer:

45%

Step-by-step explanation:

Total = 20

Red = 9

9/20 = 0.45

Therefore 45 % is the correct option :))

The results of the BCD addition for the two given numbers are a) 1001 0100 + 0110 0111 = 1111 1011 and b) 1001 1000 + 0001 0010 = 1010 1010

The first step in BCD addition is to add the two numbers together, just like you would add any two binary numbers. However, there are a few special cases to watch out for. If the sum of two digits is greater than 9, you need to add 6 to the sum. This is because the BCD code only has 10 possible values, so any number greater than 9 will be invalid.

In the first example, the sum of the first two digits is 10, so we add 6 to get 16. The sum of the next two digits is also 10, so we add 6 to get 16. The final digit is 1, so the overall sum is 1111 1011.

In the second example, the sum of the first two digits is 11, so we add 6 to get 17. The sum of the next two digits is 10, so we add 6 to get 16. The final digit is 0, so the overall sum is 1010 1010.

To verify the results, we can convert the BCD numbers to decimal and add them together. In the first example, the BCD number 1001 0100 is equal to 176 in decimal. The BCD number 0110 0111 is equal to 103 in decimal. When we add these two numbers together, we get 279 in decimal. This is the same as the BCD number 1111 1011.

In the second example, the BCD number 1001 1000 is equal to 160 in decimal. The BCD number 0001 0010 is equal to 10 in decimal. When we add these two numbers together, we get 170 in decimal. This is the same as the BCD number 1010 1010.

Therefore, the results of the BCD addition are correct.

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The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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If position of a particle is given by x(t) = t³ - 3t² and y(t) = 12t - 3t² then at (-4, 12) point the particle is at rest.

Hence the correct option is (A).

Given that the parametric equations for the position of a particle in a xy plane are,

x(t) = t³ - 3t² and y(t) = 12t - 3t²

Differentiating the equations with respect to 't' we get,

dx/dt = 3 t² - 3 (2 t) = 3t² - 6t

dy/dt = 12 * 1 - 3 (2t) = 12 - 6t

So, the point at which the particle is at rest will satisfy the condition dx/dt = 0 and dy/dt = 0. So,

dx/dt = 0 gives

3t² - 6t = 0

3t (t - 2) = 0

t = 0, 2

dy/dt = 0 gives

12 - 6t = 0

6t = 12

t = 12/6 = 2

So t = 2 satisfy both the conditions simultaneously.

At t = 2,

x(2) = 2³ - 3* 2² = 8 - 12 = -4

y(2) = 12 * 2 - 3 * 2² = 24 - 12 = 12

So the required point (-4, 12).

Hence the correct option is (A).

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Riya earns $45 in commission for selling 15 newspaper ads at $50 each.

A commission is a charge or payment given to a person or group in exchange for a good or service. When selling goods or services on behalf of a corporation, sales representatives or agents are frequently compensated with commissions in the business world. For instance, a stockbroker may receive a fee for carrying out a trade on behalf of a customer, while a real estate agent may receive a commission depending on the sale price of a property they assist in selling.

Riya receives a 6% commission for selling newspaper ads, and if she sells 15 ads for $50 each, her total earnings can be calculated as follows:

Total earnings = Total sales x Commission rate

The total sales from selling 15 ads at $50 each are:

Total sales = 15 x $50 = $750

The commission rate is 6%, which can be written as 0.06 as a decimal.

Plugging these values into the formula, we get:

Total earnings = $750 x 0.06 = $45

Therefore, Riya earns $45 in commission for selling 15 newspaper ads at $50 each.

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Answer:

7

Step-by-step explanation:

13 / 17 = y / 10

13 x 10 = y x 17

130 = 17y

y = 130 / 17

y = 7.12

7.12 in nearest tenth is approximately 7.

The value of y, rounded to the nearest tenth, is approximately 7.6.

To solve the proportion (13/17) = (y/10) for y, we can cross-multiply and then solve for y.

Cross-multiplying:

13 * 10 = 17 * y

130 = 17y

To isolate y, we divide both sides of the equation by 17:

y = 130/17

Calculating the value:

y ≈ 7.6 (rounded to the nearest tenth)

Therefore, y is approximately 7.6 when solving the given proportion.

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Answer:

48 yards

Step-by-step explanation:

So you Subtract 25 - 18.76 when you get 6.24 which is how much you spent and then you divide that by .13 and you will get your answer of 48 yards.

Hope this helps pls give me brainlist

Diane bought 48 yards of ribbon.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Diane got a prepaid debit card with $25 on it.

For her first purchase with the card, she bought some bulk ribbon at a craft store.

The price of the ribbon was 13 cents per yard.

If after that purchase, there was $18.76 left on the card,

number of yards of ribbon = (25 - 18.76)/0.13

= 6.24 / 0.13

= 48 yards.

Therefore, the ribbon is 48  yards.

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Answer:

B

Step-by-step explanation:

The dilation of 2.5 about the origin is C.) F'(-5,-2.5), G'(-2.5,5), H'(5,-5).

What is dilation?

Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape.

Now from the given graph coordinates of F,G and H are,

F(-2,-1)

G(-1,2)

H(2,-2)

The coordinate points F(-2,-1), G(-1,2) and H(2,-2) it dilated by a factor of 2.5, we will multiply the coordinates by 2.5 to have:

F'(-5,-2.5), G'(-2.5,5), H'(5,-5).

Thus, the dilation of 2.5 about the origin is C.) F'(-5,-2.5), G'(-2.5,5), H'(5,-5).

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Answer: C) Multiply the number of solid and clear beads by 2.

D) Divide the number of solid and clear beads by 4.

E) Multiply the number of solid and clear beads by 18.

Step-by-step explanation:

Multiplication and Division are the two arithmetic operations that are used to get an equivalent ratio or fraction.

So, the operations that will give an equivalent ratio are Multiplication and Division.

So that correct options are

C) Multiply the number of solid and clear beads by 2.

D) Divide the number of solid and clear beads by 4.

E) Multiply the number of solid and clear beads by 18.

The volume of the solid generated by revolving the region bounded by the given curve and lines about the x-axis is V = 8π/3

The volume of a solid, given by the function f(x), over an interval between a and b, is given by:

\(V = \pi \int\limits^a_b {f(x)^2} \, dx\)

To find the area, integrate around that area. We're revolving around the x-axis so the area will be a circle;

V = ∫A(x)dx =  ∫(πr²)dr

Then we subtract them from each others.

∫(πr₂² - πr₁²)dr

Now substitute the value and integrate;

∫(π(2)² - π(2x)²)dr

∫(4π - 4πx²)dr

4π∫(1 - x²)dr

Now integrate from 0 to 1 since that's where our boundary is.

V = 4π∫(1 - x²)dr = 8π/3

Therefore, The volume of the solid generated by revolving the region bounded by the given curve and lines about the x-axis is V = 8π/3

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Answer:

10- 14 -4

Step-by-step explanation:

so practically what I was saying is 6 +4equals 10 and then 14minus10 equals 4

Answer:

x-6x=14-4

5x=10

X=10/5

X=2

Answer:

2714 mm3

Step-by-step explanation:

   Volume of the material used in each cylindrical cracker is 2714 cubic mm.

         Volume = πr²h

Given in the question,

Material used in cracker = Volume of the whole cracker - Volume of the cylindrical hole

                                         = \(\pi (\frac{16}{2} )^2(18)-\pi (\frac{8}{2} )^2(18)\)

                                         =  1152π - 288π

                                         = 864π

                                         = 2714.34

                                         ≈ 2714 cubic mm.

  Therefore, volume of the material used in each cracker will be 2714 mm³.

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Answer:

Point F is at -3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Descending order means that the exponents are in decreasing order and the polynomial ends with the constants. Therefore the answer is B.

Answer:

B.

Step-by-step explanation:

Arranged from largest to smallest

Answer:

y = 4x+2

Step-by-step explanation:

To find an equation that runs through (-4,1) and (4,3) first find the difference between the two y numbers and x number to find the slope. between the two y numbers you go left or right 8 units, and difference between the two x numbers, which is 2. making the slope 4. looking at a graph and marking the two points, draw a line connecting the two given points, find the y intercept. the y intercept is at coordinates (0, 2) making the y intercept 2. making that into an equation is y = 4x + 2

Answer:

Simplified fraction of 0. overline 15 is 5/33

When interpreting the expression as \((tanx)^{(sinx)\), the limit using L'Hospital's Rule is -∞ as x approaches 0+. However, when interpreting the expression as\(tan(x^{sinx})\), the limit is not well-defined due to the indeterminate form of 0^0.

To calculate the limit using L'Hospital's Rule, let's consider both interpretations of the expression and find the limits for each case:

Case 1: lim\((tanx)^{(sinx)\) as x approaches 0+

Taking the natural logarithm of the expression, we have:

\(ln[(tanx)^{(sinx)}] = sinx * ln(tanx)\)

Now, we can rewrite the expression as:

\(lim [sinx * ln(tanx)]\)as x approaches 0+

Applying L'Hospital's Rule, we differentiate the numerator and denominator:

\(lim [(cosx * ln(tanx)) + (sinx * sec^{2}(x))] / (1 / tanx)\) as x approaches 0+

Simplifying the expression:

\(lim [cosx * ln(tanx) + sinx * sec^{2}(x)] * tanx\) as x approaches 0+

\(lim [cosx * ln(tanx) + sinx * sec^{2}(x)] * (sinx / cosx)\) as x approaches 0+

\(lim [(cosx * ln(tanx) + sinx * sec^{2}(x)) / cosx] * sinx\) as x approaches 0+

\(lim [ln(tanx) + (sinx / cosx) * sec^{2}(x)] * sinx\) as x approaches 0+

\(lim [ln(tanx) + tanx * sec^{2}(x)] * sinx\) as x approaches 0+

Since lim ln(tanx) as x approaches 0+ = -∞ and\(lim (tanx * sec^{2}(x))\) as x approaches 0+ = 0, we have:

\(lim [ln(tanx) + tanx * sec^{2}(x)] * sinx\) as x approaches 0+ = -∞

Therefore, the limit of \((tanx)^{(sinx)\) as x approaches 0+ using L'Hospital's Rule is -∞.

Case 2: lim\(tan(x^{sinx})\)as x approaches 0+

We can rewrite the expression as:

lim\(tan(x^{(sinx)})\) as x approaches 0+

This expression does not have an indeterminate form of \(0^0\), so we do not need to use L'Hospital's Rule. Instead, we can substitute x = 0 directly into the expression:

lim \(tan(0^{(sin0)})\) as x approaches 0+

lim\(tan(0^0)\)as x approaches 0+

The value of \(0^0\) is considered an indeterminate form, so we cannot determine its value directly. The limit in this case is not well-defined.

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