ABCD is a parallelogram. If m

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Exhibit 5-8 The student body of a large university consists of 60% female students. A random sample of 8 students is selected. R

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Answer:

P(X=2)=0.04129

Step-by-step explanation:

-This is a binomial probability problem whose function is expressed as;

$P(X=x)={n\choose x}p^x(1-p){n-x}$

-Given that p=0.6, n=8 , the probability that among the students in the sample exactly two are female is calculated as:

$P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X=2)={8\choose2}0.6^2(1-0.6)^6\\\\=0.04129$

Hence, the probability of exactly two females is 0.04129

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3 years ago

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AfilCa [17]

<h3>Answer: 22.5</h3>

Work Shown:

450 calories = 20 ounces

450/20 calories = 20/20 ounces ..... divide both sides by 20

22.5 calories = 1 ounce

This smoothie has 22.5 calories per ounce.

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The local minima of $f\left(x\right)=\ \frac{\left(2x+3\right)^2\left(x\ -2\right)^5}{x^3\left(x-5\right)^2}$ are (x, f(x)) = (-1.5, 0) and (7.980, 609.174)

<h3>How to determine the local minima?</h3>

The function is given as:

$f\left(x\right)=\ \frac{\left(2x+3\right)^2\left(x\ -2\right)^5}{x^3\left(x-5\right)^2}$

See attachment for the graph of the function f(x)

From the attached graph, we have the following minima:

Minimum = (-1.5, 0)

Minimum = (7.980, 609.174)

The above means that, the local minima are

(x, f(x)) = (-1.5, 0) and (7.980, 609.174)