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elena-14-01-66 [18.8K]
3 years ago
5

​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:
cupoosta [38]3 years ago
6 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

Ksenya-84 [330]3 years ago
4 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

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What is f(2) = 2x -6
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4 0
3 years ago
Find m∠STU and m∠TUA
PIT_PIT [208]

Answers:

  • angle STU = 65 degrees
  • angle TUA = 123 degrees

=========================================================

Explanation:

Let's find the expression for angle TUS in terms of x

Angle TUA has the expression 11x+2. It will add to angle TUS to get 180 degrees

(angle TUS) + (angle TUA) = 180

angle TUS = 180 - (angle TUA)

angle TUS = 180 - (11x + 2)

angle TUS = 180 - 11x - 2

angle TUS = -11x + 178

Now focus on the interior angles of triangle TUS. We have these three angles

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For any triangle, the interior angles always add to 180, so,

T+U+S = 180

(5x+10) + (-11x+178) + (58) = 180

(5x-11x) + (10+178+58) = 180

-6x + 246 = 180

-6x = 180-246

-6x = -66

x = -66/(-6)

x = 11

Use this x value to find the angle measures we're after:

  • angle STU = 5x+10 = 5*11+10 = 55+10 = 65 degrees
  • angle TUA = 11x+2 = 11*11+2 = 121+2 = 123 degrees

--------------------------

As an alternative route, you can apply the remote interior angle theorem. This says that adding two interior angles leads to the exterior angle that isn't adjacent to either one.

In this case, we would say

(angle STU) + (angle TSU) = angle TUA

that leads to the equation

(5x+10) + (58) = 11x+2

Solving this should lead to x = 11 to generate the angles mentioned earlier.

6 0
3 years ago
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