Find the volume of each prism. Round to the nearest tenth if necessary. (Please give explanation if you can)

Find the area of a circle with a circumference of 50.24

Murljashka [212]

Answer:

200.96

Step-by-step explanation:

The circumference is

C = 2*pi*r

50.24 = 2 * 3.14 (r)

50.24 = 6.28 r

Divide each side by 6.28

50.24/6.28 = r

8 =r

We want to find the area

A = pi r^2

A = 3.14 (8)^2

A =200.96

4 0

4 years ago

Zachary completes a hypothesis test and finds that he rejects the null hypothesis. Which statement gives a reason for rejecting

padilas [110]

Answer:

The z-statistic lies in the critical region

Step-by-step explanation:

When a hypothesis test is performed, the decision to reject or not reject the null hypothesis is made on basis of following observations:

If the z-statistic falls in the critical or rejection region, there is enough evidence to reject the Null Hypothesis
If the z-statistic falls outside the critical or rejection region, there is not enough evidence to reject the Null Hypothesis.

In the given statement Zachary rejects the Null Hypothesis, this means the z-statistic she calculated must have been inside the critical or rejection region. Hence the correct answer would be:

The z-statistic lies in the critical region

4 0

3 years ago

Read 2 more answers

Which ratios are equivalent to 7/3? Check all that apply.

liq [111]

Answer:

the answers are

2. 28 to 12

3.56 / 24

4. 63 to 27

2,3,4 are the answers.

5 0

3 years ago

Sam and Edna have 56 marbles together Edna has 6 times more marbles than Sam how many marbles does Sam have

Nostrana [21]

Answer:

sam=8 marbles

8x6=48

edna =48 marbles

48+8=56

hope it helps

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

In a city known for many tech start-ups, 311 of 800 randomly selected college graduates with outstanding student loans currently

Allushta [10]

Answer:

Null hypothesis: $p_{1} - p_{2}=0$

Alternative hypothesis: $p_{1} - p_{2} \neq 0$

$z=\frac{0.389-0.418}{\sqrt{0.403(1-0.403)(\frac{1}{800}+\frac{1}{800})}}=-1.182$

$p_v =2*P(Z$

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 say that we don't have significant difference between the two proportions.

Step-by-step explanation:

1) Data given and notation

$X_{1}=311$ represent the number college graduates with outstanding student loans currently owe more than $50,000 (tech start-ups)

$X_{2}=334$ represent the number college graduates with outstanding student loans currently owe more than $50,000 ( biotech firms)

$n_{1}=800$ sample 1

$n_{2}=800$ sample 2

$p_{1}=\frac{311}{800}=0.389$ represent the proportion of college graduates with outstanding student loans currently owe more than $50,000 (tech start-ups)

$p_{2}=\frac{334}{800}=0.418$ represent the proportion of college graduates with outstanding student loans currently owe more than $50,000 ( biotech firms)

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 two proportions, the system of hypothesis would be:

Null hypothesis: $p_{1} - p_{2}=0$

Alternative hypothesis: $p_{1} - p_{2} \neq 0$

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

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{311+334}{800+800}=0.403$

3) Calculate the statistic

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

$z=\frac{0.389-0.418}{\sqrt{0.403(1-0.403)(\frac{1}{800}+\frac{1}{800})}}=-1.182$

4) Statistical decision

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

$p_v =2*P(Z$

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 say that we don't have significant difference between the two proportions.

6 0

3 years ago