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Math math math math
Help help Math math math math - 1

Answers

Answer 1
Answer:

Answer:

4000

Step-by-step explanation:

Find the radius;

20/2=10

Plug everything into the equation;

4/3 (3) (10)^3= 4000

Hope this helps:) Have a good day!

Answer 2
Answer:

Answer:

4000

Step-by-step explanation:

hope this helps


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Approximately how many times greater is 6 x 10^-6 than 2 x 10^-8

A woman 38 years old has a daughter 14 years old. How many years ago was the woman 8 times older than the daughter?

Answers

Answer:

112 years ago

Step-by-step explanation:

38 => 14 yrs

DIfference: 24 yrs

n=8(14)

n=112

Therefore, 112 years ago

One serving of Gooey Gushers provides 12% of the daily value of vitamin C. Tim ate 312 servings of Gooey Gushers. a. Calculate 312⋅12% without using a calculator. Show your work.

b. What question about the Gooey Gushers can you answer by calculating 312⋅12%?

Answers

Answer:

a) Given expression,

12% of 312

Since 100% of 312 = 312

⇒ 10% of 312 = 31.2,

⇒ 1% = 3.12

⇒ 2% = 2 × 3.12 = 6.24

So, 12% of 312 = 10% of 312 + 2% of 312

= 31.2 + 6.24

= 37.44

b) Given,

Total number of servings = 312,

The percentage of vitamin C in each serving = 12%,

Thus, the total amount of the vitamin C in 312 servings = 12% of 312

=(12* 312)/(100)

=(3744)/(100)

= 37.44,

Hence, the question can be asked about the total amount of the vitamin C.

According to CNN business partner Careerbuilder, the average starting salary for accounting graduates in 2018 was at least $57,413. Suppose that the American Society for Certified Public Accountants planned to test this claim by randomly sampling 200 accountants who graduated in 2018. State the appropriate null and alternative hypotheses.

Answers

Answer:

Null hypothesis: The American Society for Certified Public Accountants says the average starting salary of accountants who graduated in 2018 is $57,413

Alternate hypothesis: The American Society for Certified Public Accountants says the average starting salary of accountants who graduated in 2018 is less than or equal to $57,413

Step-by-step explanation:

A null hypothesis is a statement from a population parameter that is subject to testing. It is expressed with equality.

An alternate hypothesis is also a statement from the population parameter that negates the null hypothesis. It is expressed with inequality

I need help on finding the height of a triangular pyramidif there’s no work, I don’t get credit

I will give Brainliest

Answers

Answer:

20 in

Step-by-step explanation:

The formula for the volume of a triangular pyramid is V=1/3 x B x H, in which B is the area of the base and H is the height. You're given the volume and area of the base so you can just plug that into the formula. You will get 120 = 1/3 x 18 x H. You can multiply the 1/3 and 18 so you will get 120 = 6H. In this case, you are solving for H so you need to isolate the variable. You can do this by dividing both sides by 6. You will end up eith 20 = H.

If you deposit $5,000 into an account that pays 4% simple interest, what will the balance be in 6 years?

Answers

Answer:

$6,200   i hope this helps!   :)

Step-by-step explanation:

the 4% interest of the $5000   4% of 5000 = 200

multiply by 6 for the 6 years   200 * 6 = 1200

add the 1200 to the 5000   5000 + 1200 = 6,200

Data taken from a random sample of 60 students chosen from the student population of a large urban high school indicated that 36 of them planned to pursue post-secondary education. An independent random sample of 50 students taken at a neighboring large suburban high school resulted in data that indicated that 31 of those students planned to pursue post-secondary education. Do these data provide sufficient evidence at the 5% level to reject the hypothesis that these population proportions are equal

Answers

Answer:

No, these data do not provide sufficient evidence at the 5% level to reject the hypothesis that these population proportions are equal.

Step-by-step explanation:

We are given that data taken from a random sample of 60 students chosen from the student population of a large urban high school indicated that 36 of them planned to pursue post-secondary education.

An independent random sample of 50 students taken at a neighboring large suburban high school resulted in data that indicated that 31 of those students planned to pursue post-secondary education.

Let p_1 = population proportion of students of a large urban high school who pursue post-secondary education.

p_2 = population proportion of students of a large suburban high school who pursue post-secondary education.

So, Null Hypothesis,H_0 : p_1-p_2 = 0      {means that these population proportions are equal}

Alternate Hypothesis,H_A : p_1-p_2\neq 0      {means that these population proportions are not equal}

The test statistics that would be used here Two-sample z proportionstatistics;

                         T.S. =  \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{(\hat p_1(1-\hat p_1))/(n_1)+(\hat p_2(1-\hat p_2))/(n_2) } }  ~ N(0,1)

where, \hat p_1 = sample proportion of students of a large urban high school who pursue post-secondary education = (36)/(60) = 0.60

\hat p_2 = sample proportion of students of a large urban high school who pursue post-secondary education = (31)/(50) = 0.62

n_1 = sample of students of a large urban high school = 60

n_2 = sample of students of a large suburban high school = 50

So, the test statistics  =  \frac{(0.60-0.62)-(0)}{\sqrt{(0.60(1-0.60))/(60)+(0.62(1-0.62))/(50) } }

                                     =  -0.214

The value of z test statistics is -0.214.

Now, at 5% significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.

Since our test statistics lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that these population proportions are equal.