Answer:
Step-by-step explanation:
A
Let X be the normal variable with mean μ =50 and standard deviation σ =2
We have to find probability that x is between 47 and 54
P(47 < X < 54) = P(X < 54) - P(X < 47)
=
- 
= P(Z < 2) - P(Z < -1.5)
Using standard normal z score table to find probabilities we get
P(Z < 2) = 0.9772
P(Z < -1.5) = 0.0668
P(47 < X < 54) = P(Z < 2) - P(Z < -1.5)
= 0.9772 - 0.0668
P(47 < X < 54) = 0.9104
The probability that x is between 47 and 54 is 0.9104
Answer: Our variable be z for fair admission and our required linear equation will be

Explanation:
Since we have given that
Cost per ticket for the rides =$1.50
Total amount she spent = $48.75
Let the total cost be y
Let the number of ride tickets be x
<u>a) Define your variable:</u>
Let the amount spent on fair admission be z
<u>b) Write a linear equation that can be used to determine the cost for ride tickets and fair admission:</u>
Our required equation will be

Here, number of ride tickets = 20
So,

So, the cost for fair admission = $18.75