36, 33, 56, 60, 40, 61, 37, 61
put the numbers from smallest to biggest
33, 36, 37 ,40, 56, 60, 61, 61
biggest number -smallest number
61-33
Answer:
28
Answer:
0.078 or 7.8%
Step-by-step explanation:
Mean salary (μ) = $37,764
Standard deviation (σ) = $5,100
The z-score for any given teacher's salary in California, X, is determined by:
![z=\frac{X-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7BX-%5Cmu%7D%7B%5Csigma%7D)
For X = $45,000:
![z=\frac{45,000-37,764}{5,100}\\ z=1.419](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B45%2C000-37%2C764%7D%7B5%2C100%7D%5C%5C%20z%3D1.419)
A z-score of 1.419 corresponds to the 92.20th percentile of a normal distribution. Therefore, the probability that a salary is greater than $45,000 is:
![P(X>\$45,000) = 1-0.9220\\P(X>\$45,000) = 0.078=7.8\%](https://tex.z-dn.net/?f=P%28X%3E%5C%2445%2C000%29%20%3D%201-0.9220%5C%5CP%28X%3E%5C%2445%2C000%29%20%3D%200.078%3D7.8%5C%25)
The probability is 0.078 or 7.8%.
Answer:
D = 32
Step-by-step explanation:
A+ B + E = 180 since they form a triangle
14+ 45 + E = 180
E = 180 -14-45
E =121
E on either triangle is the same since they are vertical angles
C+D+E = 180 since they form a triangle
27+ D + 121 = 180
D = 180-121-27
D =32
Answer:
Just took the quiz and the correct answer was B. 200d + 150 - 75d > 1,000
1st to figure out the translation!!
From (-2,5) to (1,1)
The x values changed 3 values positive that means 3 values right
and the y values changed 4 values negative that nears 4 values down
So the rule is
(x + 3 , y - 4)
(3,2) -- > (6,-2)