The equation of the line has the form: y = ax+b parallel to the line y = -2x + 7
=> a= -2
Passes through (4,1) => x=4, y=1
Substituting into the equation:
1= -2x(4) + b => b= 9
=> y= -2x + 9
More than five lol sorry I am only trying to help
to average 60 mph for 2 laps his total speed needs to equal 60 x 2 = 120
his first lap was 40 so his 2nd lap needs to be 120-40 = 80 mph
Using the normal distribution, it is found that the probability is 0.16.
<h3>Normal Probability Distribution</h3>
In a normal distribution 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.
In this problem, the mean and the standard deviation are given by, respectively,
.
The proportion of students between 45 and 67 inches is the p-value of Z when <u>X = 67 subtracted by the p-value of Z when X = 45</u>, hence:
X = 67:


Z = -1
Z = -1 has a p-value of 0.16.
X = 45:


Z = -8.3
Z = -8.3 has a p-value of 0.
0.16 - 0 = 0.16
The probability is 0.16.
More can be learned about the normal distribution at brainly.com/question/24663213