Peggy constructed the 95 percent confidence interval (4.8,5.2) to estimate the slope of a regression model for a set of bivariate data with 24 data values. Peggy claims that the width of the confidence interval will increase if a sample size of 30 is used, all other things remaining the same. Quincy claims that the width of the confidence interval will decrease if a sample size of 30 is used. Which statement is true about the claims made by Peggy and Quincy?
А. Peggy's claim is correct.
B. Quincy's claim is correct.
C. Both Peggy's claim and Quincy's claim are correct
D. Neither Peggy's claim nor Quincy's claim is correct.
E. There is not enough information to determine whether the claims are correct.

Answer:

See below

Step-by-step explanation:

Congruent means having the same size and shape.

If triangle A'B'C' is the image of triangle ABC after a dilation with a scale factor of 1/2 then the two triangles will not acquire the same size

This is because when a shape undergoes a dilation the dilated image is either larger or smaller and can therefore not maintain the same size as the pre image. Hence the triangles are not congruent.

Triangle ABC is not congruent to triangle A'B'C'

The triangles are given as:

Triangle ABC and A'B'C'

The other parameters are:

Scale factor, k = 1/2

Center = Point A

Since the scale factor is not 1, then the triangles would not be congruent; but they would be similar

Hence, triangle ABC is not congruent to triangle A'B'C'

Read more about dilation at:

https://brainly.com/question/9791066

Answer:

11 and 13

Step-by-step explanation:

The square root of 144 is 12 so the numbers must be close to that

since one number is two greater go up 1 and down 1 from 12

12 - 1 = 11

12 + 1 = 13

11 * 13 = 143

Answer:

67.87

Step-by-step explanation:

Answer:

Sum = 15 8/15, Difference = 1 2/15

Step-by-step explanation:

8⅓, 71/5

A. Sum

8⅓ + 7 1/5

Convert to improper fraction

25/3 + 36/5

Find the LCM of 3 and 5. The result is 15. Divide 15 by the denominator of each fraction and multiply the result obtained with the numerator. The result is shown below:

[(25×5) + (36×3)] / 15

[125 + 108] / 15

233 / 15

Convert to mixed fraction

15 8/15

B. Difference

8⅓ – 7 1/5

Convert to improper fraction

25/3 – 36/5

Find the LCM of 3 and 5. The result is 15. Divide 15 by the denominator of each fraction and multiply the result obtained with the numerator. The result is shown below:

[(25×5) – (36×3)] / 15

[125 – 108] / 15

17 / 15

Convert to mixed fraction

1 2/15

SUMMARY:

Sum = 15 8/15, Difference = 1 2/15

Answer:

[tex]{ \boxed{ \bf{formular : } \: \tt{perimeter = 2(length + width)}}} \\ perimeter = 2((4x + 14) + (2x - 9)) \\ perimeter = 2(6x + 5) \\ perimeter = 12x + 10 \\ \\ { \tt{expression : 12x + 10}} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]

Answer:

The zeros are 1 and 2

Step-by-step explanation:

Given

[tex]y =x^2 - 3x + 2[/tex]

Required

The zeros

[tex]y =x^2 - 3x + 2[/tex]

Expand

[tex]y =x^2 - 2x-x + 2[/tex]

Factorize

[tex]y =x(x - 2)-1(x - 2)[/tex]

Factor out x - 2

[tex]y =(x - 1)(x - 2)[/tex]

Set to 0

[tex](x - 1)(x - 2)=0[/tex]

Solve for x

[tex]x - 1 = 0 \to x =1[/tex]

[tex]x - 2 = 0 \to x =2[/tex]

Hence, the zeros are 1 and 2

Answer:

9 liters of 15% orange juice and 1 liter of 5 % orange juice

Step-by-step explanation:

Answer:

D = 7

Step-by-step explanation:

To find the median, we must first list the amount of books each person read, and then put them in order.

2, 2, 7, 12, 25

These are already in order from smallest to greatest, which is awesome. We can then cross out one number from each side until we end up with either one or two numbers. We then find the average of those 1 or 2 numbers to find our median.

2, 3, 7, 12, 25

cross 2 and 25 out

3, 7, 12

cross 3 and 12 out

7

Our median is thus 7

Answer:

x =56 (corresponding angles are equal)

Answer:

56°

Step-by-step explanation:

Since these two lines are parallel, and these two angles are at the corresponding position, the required angle measure is 56

Answer:

$8.60 I don't know what SLSO means

Step-by-step explanation:

Given:

[tex]YA[/tex] is the angle bisector of [tex]\angle XYZ[/tex].

[tex]m\angle XYZ=52^\circ[/tex]

To find:

The measure of [tex]m\angle ZYA[/tex].

Solution:

It is given that [tex]YA[/tex] is the angle bisector of [tex]\angle XYZ[/tex]. It means

[tex]m\angle XYA=m\angle ZYA[/tex]            ...(i)

Now,

[tex]m\angle XYA+m\angle ZYA=m\angle XYZ[/tex]

[tex]m\angle ZYA+m\angle ZYA=52^\circ[/tex]            [Using (i)]

[tex]2m\angle ZYA=52^\circ[/tex]

Divide both sides by 2.

[tex]m\angle ZYA=\dfrac{52^\circ}{2}[/tex]

[tex]m\angle ZYA=26^\circ[/tex]

Therefore, the required value is [tex]m\angle ZYA=26^\circ[/tex].

Hi there!  

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I believe your answer is:

(4,6)

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Here’s why:  

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See the graph attached.

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Hope this helps you. I apologize if it’s incorrect.  

Answer:

276 cm^2

Step-by-step explanation:

Separate figure into triangular and rectangular prisms.

SA of triangular prism (finding each area of a face and add them all up)

4 x 5 = 20 cm^2

13 x 4 = 52 cm^2

1/2 x 12 x 5 = 30 cm^2

1/2 x 12 x 5 = 30 cm^2

20 + 52 + 30 + 30 = 132 cm^2

SA of triangular prism is 132 cm^2

SA of rectangular prism (do the same thing):

12 x 4 = 48 cm^2

12 x 3 = 36 cm^2

12 x 3 = 36 cm^2

3 x 4 = 12 cm^2

3 x 4 = 12 cm^2

48 + 36 +36 + 12 + 12 = 144

Add the SA OF BOTH PRISMS:

144 + 132 = 276 cm^2

Answer:

this might be the answer..

Step-by-step explanation:

m²+6m+9

Answer:

Function

Step-by-step explanation:

This is a function

Each input goes to only one output

Answer:

y=130(2.5) ^(x-1)

Step-by-step explanation:

This should give you an exponential growth curve. I'm assuming this is what you meant by "rapid change over time".

Answer:

4/14

Step-by-step explanation:

2+1+7+4=14

red marbles are 4/14

Answer:

2/7

Step-by-step explanation:

Probability = Number of ways event can occur/ total number of possible outcomes.

Total number of possible outcomes = 2+1+7+4=14 = 4/14.

And if you break that down, 2 will go into four, twice and into fourteen, seven times = 2/7.

Brainliest?

Answer:

1

Step-by-step explanation:

Slope = change in y over change in x

If you look at the graph as y goes up 1 x goes up 1

So slope = 1/1 or just 1

Answer:

m=1

Step-by-step explanation:

Hi there!

We're given the graph of a line and we need to find the slope of the line

There are many ways to do this, but the easiest is to calculate it from two points

The formula for the slope (m) calculated from 2 points is [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex], where ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2}[/tex],[tex]y_{2}[/tex]) are points

So we can take 2 points from the graph of the line to find the slope

For example, let's take (-1,0) and (0,1)

Let's label their values to avoid any confusion before we substitute their values into the formula

[tex]x_{1}[/tex]=-1

[tex]y_{1}[/tex]=0

[tex]x_{2}[/tex]=0

[tex]y_{2}[/tex]=1

now substitute into the formula *remember: we have SUBTRACTION in the slope formula

m=[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

substitute

m=[tex]\frac{1-0}{0--1}[/tex]

simplify

m[tex]\frac{1}{0+1}[/tex]

simplify again

m=[tex]\frac{1}{1}[/tex]

divide

m=1

Therefore the slope of the line is 1

Hope this helps! :)

Answer:

[tex]16[/tex]

Step-by-step explanation:

[tex] {64}^{ \frac{2}{3} } \\ {2}^{6 \times \frac{2}{3} } \\ {2}^{ \frac{12}{3} } \\ {2}^{4} \\ = 16[/tex]

hope this helps you

have a nice day!

Answer:

16

Step-by-step explanation:

Using the rule of exponents/ radicals

[tex]a^{\frac{m}{n} }[/tex] = [tex](\sqrt[n]{a}) ^{m}[/tex] , then

[tex]64^{\frac{2}{3} }[/tex] = [tex](\sqrt[3]{64}) ^{2}[/tex] = 4² = 16

Answer:

B. [tex] 4x^2 + \frac{3}{2}x - 7 [/tex]

Step-by-step explanation:

[tex] f(x) = \frac{x}{2} - 3 [/tex]

[tex] g(x) = 4x^2 + x - 4 [/tex]

(f + g)(x) = f(x) - g(x)

= [tex] \frac{x}{2} - 3 + 4x^2 + x - 4 [/tex]

Add like terms

[tex] = 4x^2 + \frac{x}{2} + x - 3 - 4 [/tex]

[tex] = 4x^2 + \frac{3x}{2} - 7 [/tex]

[tex] = 4x^2 + \frac{3}{2}x - 7 [/tex]

Given:

The distance between the two buildings on a map = 14 cm

The scale is 1:35000.

To find:

The actual distance in km.

Solution:

The scale is 1:35000.

It means 1 cm on map = 35000 cm in actual.

Using this conversion, we get

14 cm on map = [tex]14\times 35000[/tex] cm in actual.

                       = [tex]490000[/tex] cm in actual.

                       = [tex]4.9\times 1000o0[/tex] cm in actual.

                       = [tex]4.9[/tex] km in actual.          [tex][1\text{ km}=100000\text{ cm}][/tex]

Therefore, the actual distance between two buildings is 4.9 km.        

Answer:

For example, 6(1001) + 3(110) = 6006 + 330 = 6336 is a palindrome. Since 11 is a factor of both 1001 and 110, we conclude that all four digit palindromes are divisible by 11.

Answer: i think

the corrcect answer is 0.5*10^-1

Step-by-step explanation:

hope this helps

Answer:

D. Confidence interval decreases.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

When sample size increases:

The standard deviation of the sample mean is:

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

That is, it is inversely proportional to the sample size, so if the sample size incerases, the standard deviation decreases, and so does the confidence interval.

This means that the correct answer is given by option D.

Answer:

Here's what that would look like on a venn diagram

Step-by-step explanation:

Answer:

60º

Step-by-step explanation:

The two triangles on the left are equilateral as the sides are all conguent.

The angles of an equilateral triangle are all 60º

Therefor the two angles to the left of angle 1 are both 60º for a combined value of 120º

Angle 1 must be 180 - 120 = 60º

To find angle 1, you have to add all adjacent angles, which equal 180°

Answer:

it is option a. pls mark me brainliest. hope this helps you