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4 years ago

A sphere has a radius of 6 inches. What is the volume of the sphere in terms of π? V = 12 π in.3

Mathematics

1 answer:

eduard4 years ago

5 0

Answer:

144π

Step-by-step explanation:

The formula for the area of a sphere is 4πr². Thus, plugging 6 in for r, we get 144π as our answer

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Can I get some help with this question

lakkis [162]

need more information to answer this question i am very sorry

7 0

4 years ago

A survey conducted in July 2015 asked a random sample of American adults whether they had ever used online dating (either an onl

Natasha2012 [34]

Answer:

The 99% confidence interval is (0.0787, 0.1613).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

The survey included 411 adults between the ages of 55 and 64, and 50 of them said that they had used online dating. This means that $n = 411, \pi = \frac{50}{411} = 0.12$

The 99% confidence interval is

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{411}} = 0.12 - 2.575\sqrt{\frac{0.12*0.88}{411}} = 0.0787$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{411}} = 0.12 + 2.575\sqrt{\frac{0.12*0.88}{411}} = 0.1613$

The 99% confidence interval is (0.0787, 0.1613).

3 0

4 years ago

What is the percent increase of 10 to 24?

Aleks [24]

Let me explain it like this. add an extra 0 after 10 and you have 100 so every time you add 10 to the original number you are adding 100% so your answer would be 140%

6 0

4 years ago

Read 2 more answers

In designing an experiment, the researcher can often choose many different levels of the various factors in order to try to find

artcher [175]

Answer:

a) 40 possible combinations

b) 8 possible combinations

Step-by-step explanation:

Given:

- Levels of temperature = 4

- Levels of catalysts = 2

- Levels of pressure = 5

Find:

To consider all possible combinations, how many experiments would need to be conducted?

With the three factors noted, how many experiments would need to be run to cover all possible combinations with each of the three factors at two levels?

Solution:

- We experiment each of the 3 factors to a certain level. So to conduct any experiment we have:

Temperature = 4C1 = 4 possibilities

Catalysts = 2C1 = 2 possibilities

Pressure = 5C1 = 5 possibilities.

- Hence, the total outcome for one particular experiment is a combination of all 3 factors possibility:

Total possible outcomes = 4*2*5 = 40 possible combinations

- Similarly if all factors are restricted to two levels only we have:

Temperature = 2C1 = 2 possibilities

Catalysts = 2C1 = 2 possibilities

Pressure = 2C1 = 2 possibilities.

- Hence, the total outcome for one particular experiment is a combination of all 3 factors possibility:

Total possible outcomes = 2*2*2 = 8 possible combinations

6 0

3 years ago

Betty draws cards randomly from a box containing 8 cards of the same shape and size. There is 2 red cards, 3 blue cards, and 3 y

saveliy_v [14]

Answer:

i think you have to add all the numbers then divide

Step-by-step explanation:

3 0

3 years ago