Answer:
Answer with explanation and steps are in the following attachment.
Step-by-step explanation:
Answer:
15.87% probability that the car travels more than 53 miles per gallon.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Find the probability of the following events: A. The car travels more than 53 miles per gallon. Probability
This is the pvalue of Z when X = 53. So



has a pvalue of 0.8413
1 - 0.8413 = 0.1587
15.87% probability that the car travels more than 53 miles per gallon.
Answer:
There are 253 ways to select 5 participants
Step-by-step explanation:
Total number of volunteers to try a new brand of tennis shoes = 10
Number of volunteers to be selected = 5
We are supposed to find number of ways the research group select 5 participants.
We will use combination:
Formula:
Substitute n = 10 and r = 5
So,

Hence There are 253 ways to select 5 participants
If i'm in good shape and like to ride my bike, i can ride for 25 miles.