This is a right triangle so the total angle is 90 degrees.
90 degrees - 20 degrees = 70 degrees, so 2x = 70
2x/2= 70/2
X= 35
Use ratio and proportion
80/120=x/100
cross multiply
x= 66 2/3 percent
Using the normal distribution, it is found that there is a 0.1357 = 13.57% probability that the total amount paid for these second movies will exceed $15.00.
In a <em>normal distribution</em> with mean
and standard deviation
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- For n instances of a normal variable, the mean is
and the standard error is 
In this problem:
- Mean of $0.47, standard deviation $0.15, hence

- 30 instances, hence

The probability is <u>1 subtracted by the p-value of Z when X = 15</u>, hence:

Considering the n instances:



has a p-value of 0.8643.
1 - 0.8643 = 0.1357.
0.1357 = 13.57% probability that the total amount paid for these second movies will exceed $15.00.
A similar problem is given at brainly.com/question/25769446
Answer:
Step-by-step explanation:
This is an incomplete question