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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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Henry's Butcher Shop uses an electronic scale that measures to 1/100 of a pound. Which is the most accurate measurement based on
vladimir1956 [14]

Answer:

B) 3.16 pounds

Step-by-step explanation:

Accuracy is how close a measured value is to the actual or true value. The balance is accurate to the nearest 1/100 pound; thus, the highest level of accuracy appropriate to the limitations of the balance.

6 0
3 years ago
132 packages of clay, 6 clay sticks in each package, 3 sticks go to each student. How many students are able make projects out c
spayn [35]

Answer: 264

Step-by-step explanation: 132 x 6 = 792

792 divided by 3 = 264

Hope this helps

7 0
3 years ago
Find the distance from the point (4,2) to the line y= −2.
riadik2000 [5.3K]

Answer:

The distance is 4.

Step-by-step explanation:

The shortest distance from the point (4,2) to the line y=-2, in this case, would be a straight line perpendicular to y=-2.

For each and every value of "x" on the line, y = -2. The shortest distance occurs at y(4) = - 2.

At this point the distance is:

d^{2} =(4 - 4)^{2} + (2-(-2))^{2} \\d^{2} =4 ^{2}\\\\d = 4

The distance is 4.

6 0
3 years ago
A group of 50 friends meet for lunch. How many fist bumps are exchanged if each friend must fist bump with each of the 49 others
m_a_m_a [10]

If each of the 50 fist bump 499


7 0
3 years ago
In a parking lot there are totally 70 vehicles, cars and motorcycles. all together they've got 258 wheels. how many cars are the
docker41 [41]
1 car - 4 wheels
1 motorcycle - 2 wheels

x - number of cars
y - number of motorcycles

so, there are 70 vehicles: x + y = 70
and all togeather they've got 258 wheels: 4*x + 2*y = 258
because each car has 4 wheels, so all car wheels = 4*x,
likewise 2*y for motorcycles

x + y = 70  /* 4
4 x + 2y = 258

4 x + 4 y = 280  (R1)
4 x + 2y = 258    (R2)

2y = 22  /:2      it is R1 - R2
x = 70 - y

y = 11    /motorcycles
x = 70 - 11 = 59  /cars

check:
59 + 11 = 70  ok
59 * 4 + 11 * 2 = 236 + 22 = 258  ok
5 0
3 years ago
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