Answer: 21
Step-by-step explanation:
Given : The scores on the midterm exam are normally distributed with

Let X be random variable that represents the score of the students.
z-score: 
For x=82

For x=90

Now, the probability of the students in the class receive a score between 82 and 90 ( by using standard normal distribution table ) :-

Now ,the number of students expected to receive a score between 82 and 90 are :-

Hence, 21 students are expected to receive a score between 82 and 90 .
Answer:
A 4/3
Step-by-step explanation:
to long to explain but its right
Answer:
x = 14
Step-by-step explanation.
First I would use sine to find x's value. So ----> sin(30) = 7/x ----> x sin(30) = 7 ----> x = 7/sin(30) = 14.
You Can also find that x is equal to 14 by applying the 30, 60, 90, triangle rule. Becuase '7' opposes the 30 degree angle it is 1/2 the hypotenuse, if thats the case just multiply the 7 by 2 and you have the hypotenuse length.
Answer:
B is your answer llsls
Step-by-step explanation:
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Answer:
Step-by-step explanation:
E(-1,6) & F(-2,-10)
![Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\ \ \ \ = \frac{-10-6}{-2-[-1]}\\](https://tex.z-dn.net/?f=Slope%20%3D%20%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C%5C%5C%5C%20%20%5C%20%20%5C%20%5C%20%3D%20%5Cfrac%7B-10-6%7D%7B-2-%5B-1%5D%7D%5C%5C)

Slope of the line perpendicular to this line = -1/m = -1/16