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Kobotan [32]
3 years ago
15

A​ four-year study of various brands of bottled water found that 25​% of bottled water is just tap water packaged in a bottle. C

onsider a sample of sevenseven ​bottled-water brands, and let x equal the number of these brands that use tap water. Complete parts a through d.
a. Is x​ (approximately) a binomial random​ variable?
b. Give the probability distribution for x as a formula.
c. Find p(x = 2).
d. Find P(x <= 1).
Mathematics
1 answer:
finlep [7]3 years ago
8 0

Answer:

Answers below

Step-by-step explanation:

a. Is x​ (approximately) a binomial random​ variable?

b. Give the probability distribution for x as a formula.

c. Find p(x = 2).

d. Find P(x <= 1).

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Answer:

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Step-by-step explanation:

Given that:

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a. Write a polynomial function in factored form modeling the volume V of the box.

As we know that, this is a rectangular box has a square base so the Volume of it is:

V = h *x^{2} in^{3}

<=> V = (20-x) x^{2}  in^{3}

b. What is the maximum possible volume of the box?

To  maximum the volume of it, we need to use first derivative of the volume.

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Let dV / Dx = 0, we have:

-3x^{2} + 40x  = 0

<=> x = 40/3

=>the height h = 20/3

So  the maximum possible volume of the box is:

V = 20/3 * 40/3 *40/3

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If the DIAMETER of a circle is 18 inches, what is the length of the radius? *
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