Solve for X. (5 questions Multiple choice ,) please help with these math problems . And pls don't just do it for points I really need help

1. 12.

2. 6.

3. 3.

4. 11.

5. 2.

Step-by-step explanation:

1. 6x + 8 + 100 = 180

6x + 108 = 180

6x = 180 - 108

6x = 72.

x = 72/6 = 12°.

2. 14x - 6 + 102 = 180

14x + 96 = 180

14x = 180 - 96

14x = 84

x = 84/14 = 6°.

3. 36x + 2 = 37x - 1

36x - 37x = -1 -2

-x = -3

x = 3°.

4. x + 8 = 19

x = 19 - 8 = 11.

5. 8x + 1 = 17

8x = 17 - 1

8x = 16

x = 16/8 = 2.

The mean μ and standard deviation σ of the sampling distribution of X  are 25 and 4.74 respectively.

Step-by-step explanation:

Let X be the binomial random variable that represents the number of millenials in the sample who exercise daily.

As per given , the parameters associated with x are

n= 250 and p=0.10

Required formula ,

Mean = np

Standard deviation:

Similarly , the  mean μ and standard deviation σ of the sampling distribution of X will be :-

Mean =

Standard deviation:

Hence, the mean μ and standard deviation σ of the sampling distribution of X  are 25 and 4.74 respectively.