Hey there!☺



We will need to factor
. In order to that, we will have to start grouping.

Hope this helps!
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:
Step-by-step explanation:
As long as the runner does not change direction, the velocity would be
Formula
d = r*t
r = d/t
Solution
r = 400 m / 56 s
r = 7.14 m/s
From the graph of the linear functions, we have that both snowman's will have the same height of 21 inches after 5 hours.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For this problem, we have that:
- The initial height is the intercept.
- The melting rate, as a negative, is the slope.
Hence the functions are given as follows:
The functions are graphed at the end of the answer, with <u>A(t) in red and B(t) in blue,</u> and they intersect at (5,21), meaning that both snowman's will have the same height of 21 inches after 5 hours.
More can be learned about linear functions at brainly.com/question/24808124
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