Answer:
See below
Step-by-step explanation:
<u>Point -slope form is:</u>
By having one set of coordinates and knowing the value of the slope (m in the equation) you can use the form.
<u>How to find the slope?</u>
Here you need 2 points: Point 1 with coordinates x1, y1 and point 2 with the coordinates x2, y2
<u>Use the formula:</u>
<u>Example:</u>
- m = -5, and one of the points has coordinates (9, 2) then point-slope form is:
H equals 30 because 3 times 6 is 18 so 5 times 6 is 30
Using the normal distribution, it is found that the replacement time that separates the top 18% from the bottom 82% is of 11.23 years.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
In this problem, the mean and the standard deviation are, respectively, given by
.
The desired value is the 82nd percentile, which is X when Z = 0.915, hence:


X - 9.4 = 0.915(2)
X = 11.23
The replacement time that separates the top 18% from the bottom 82% is of 11.23 years.
More can be learned about the normal distribution at brainly.com/question/24663213
9514 1404 393
Answer:
(x, y) = (-8.625, -63)
Step-by-step explanation:
Substitute for y.
-63 = 8x +6
-69 = 8x . . . . . subtract 6
-69/8 = x = -8.625
The solution is (x, y) = (-8.625, -63).
Answer:
16 units
Step-by-step explanation: