Answer:
About 99.74% of the area is between z = -3 and z = 3
Step-by-step explanation:
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.
Area between z = 3 and z = -3
pvalue of z = 3 subtracted by the pvalue of z = -3
z = 3 has a pvalue of 0.9987
z = -3 has a pvalue of 0.0013
0.9987 - 0.0013 = 0.9974
0.9974*100 = 99.74%
About 99.74% of the area is between z = -3 and z = 3
Answer:
$92.33
Step-by-step explanation:
You take 143.75 and multiply by .3 to find the amount you will discount from 145.75, to get 102.025. Then multiply that by .095 to get 9.692375. Subtract that from 102.025 to get 92.33.
Answer:
70 cars per year.
Step-by-step explanation:
Given:
In 1984 a locally-owned car company sold 2,743 cars.
In 2003, the car sales rose to 4,069.
Question asked:
What was the average rate of change for the total number of cars sold?
Solution:
In 2003 number of cars sold = 4069
In 1984 number of cars sold = 2743
Change in the number of car sold = 4069 - 2743
= 1326
Now, time interval between 2003 and 1984 = 19
Thus, the average rate of change for the total number of cars sold is 70 cars per year.
If you can rewrite the formula as (x-a)² + (y-b)² = r², the center is at (a,b) and the radius is r.
If you work out this equation, and map it to the original, you will find that the +4x term hints that a = 2 (double product) and -12y hints that b=-6, and r=6.
So, the formula can be written as (x+2)² + (y-6)² = 6² and the center is at (-2,6) and the radius is 6.
