PLEASE HELP. it is in the attachment

Work out the surface area of this sphere.<br> Give your answer to 1 decimal place.

bearhunter [10]

Answer:

452.4

Step-by-step equation:

surface area of a sphere formula= 4πr²

plug 6 in for r

4π(6)² =452.389 rounded to 452.4

7 0

3 years ago

Question 3(Multiple Choice Worth 1 points) (08.03 LC) A box plot is shown below: A box and whisker plot is shown using a number

Sophie [7]

The median in the box plot is: 31

Q1 (lower quartile) = 26

<h3>What is the Median and Q1 of a a Data in a Box Plot?</h3>

The median is the value at the vertical line that divides the box.

The Q1 (lower quartile) is the value at the beginning of the edge of the box.

Thus, from the given box plot, we have the following:

Median = 31

Q1 (lower quartile) = 26

Learn more about the box plot on:

brainly.com/question/14277132

#SPJ1

6 0

2 years ago

A pie crust recipe calls for 2 cups of butter for each 3 cups of flour. Elliette is making enough crust to use up 8 cups of flou

VARVARA [1.3K]

5.3 to be exact but does it say you round up in the problem? Cause then I’d put 5.5 cups or 6

8 0

3 years ago

What are the intercepts of the line?

Norma-Jean [14]

The y-intercept is (0, 7) the x-intercept is (-3, 0)

Your answer is B

4 0

3 years ago

Read 2 more answers

A random sample of 500 adult residents of Maricopa County found that 356 were in favor of increasing the highway speed limit to

zzz [600]

Answer:

$z=1.04$

$p_v =2*P(Z>1.04)\approx 0.298$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can't say that the proportion of people in favor of the increased speed limit not differs significantly between the two groups.

Step-by-step explanation:

1) Data given and notation

$X_{PC}=297$ represent the number of residents of Pima County in favor of the increased speed limit

$X_{MC}=356$ represent the number of residents of Maricopa County in favor of the increased speed limit

$n_{PC}=400$ sample of Pima County selected

$n_{MC}=500$ sample of Maricopa County selected

$p_{PC}=\frac{297}{400}=0.743$ represent the proportion of residents of Pima County in favor of the increased speed limit

$p_{MC}=\frac{356}{500}=0.712$ represent the proportion of residents of Maricopa County in favor of the increased speed limit

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

$\alpha=0.05$ significance level given

2) Concepts and formulas to use

We need to conduct a hypothesis in order to check if is there is a difference in the support for in increasing the speed limit between the residents of the two counties, the system of hypothesis would be:

Null hypothesis: $p_{PC} - p_{MC}=0$

Alternative hypothesis: $p_{PC} - \mu_{MC} \neq 0$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{PC}-p_{MC}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{PC}}+\frac{1}{n_{MC}})}}$ (1)

Where $\hat p=\frac{X_{PC}+X_{MC}}{n_{PC}+n_{MC}}=\frac{297+356}{400+500}=0.726$

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.743-0.712}{\sqrt{0.726(1-0.726)(\frac{1}{400}+\frac{1}{500})}}=1.04$

4) Statistical decision

Since is a two side test the p value would be:

$p_v =2*P(Z>1.04)\approx 0.298$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can't say that the proportion of people in favor of the increased speed limit not differs significantly between the two groups.

8 0

3 years ago