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Levart [38]
3 years ago
14

​78% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask

them whether they think that political correctness is a problem in America today. The random variable represents the number of U.S. adults who think that political correctness is a problem in America today. Answer the questions below.
Find the mean of the binomial distribution ​(Round to the nearest tenth as​ needed.)Find the variance of the binomial distribution. (Round to the nearest tenth as​ needed.)
Mathematics
2 answers:
uysha [10]3 years ago
7 0

Answer:

mean = 4.9

variance = 1.0

Step-by-step explanation:

An American thinks that political correctness is a problem or does not think that it is a problem therefore the distribution of the random variable is binomial and for this case the parameters of it would be

n = 6 \\p = 0.78\\

Then the formula for the mean is

\text{mean} = n*p, which is 6*0.78 =  4.9,

The formula for variance is

\text{variance} = np(1-p) = 6*0.78(1-0.78) = 1.0

nikdorinn [45]3 years ago
5 0

Answer:

mean= 4.68

variance= 1.0296

Step-by-step explanation:

mean= n×p

n=6

p=0.78

mean= 6×(0.78)

           = 4.68

variance= n×p×(1-p)

             = 6 × 0.78×(1-0.78)

              = 1.0296

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The area of a rectangular swimming pool is 360 square feet. If the length of the swimming pool is 9 feet more than its width, fi
Inessa [10]

Answer:

l = 24ft

Step-by-step explanation:

A = lw

360 = (x + 9)(x)

360 = x^2 + 9x

0 = x^2 + 9x - 360

0 = (x + 24)(x - 15)

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7 0
3 years ago
Write the standard form of an equation of an ellipse subject to the given conditions.
irina [24]

Answer:

The answer is below

Step-by-step explanation:

The standard form of the equation of an ellipse with major axis on the y axis is given as:

\frac{(x-h)^2}{b^2} +\frac{(y-k)^2}{a^2} =1

Where (h, k) is the center of the ellipse, (h, k ± a) is the major axis, (h ± b, k) is the minor axis, (h, k ± c) is the foci and c² = a² - b²

Since the minor axis is at (37,0) and (-37,0), hence k = 0, h = 0 and b = 37

Also, the foci is at (0,5) and (0, -5), therefore c = 5

Using c² = a² - b²:

5² = a² - 37²

a² = 37² + 5² = 1369 + 25

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Therefore the equation of the ellipse is:

\frac{x^2}{1369}+ \frac{y^2}{1394} =1

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2 years ago
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