Given Information:
Mean weekly salary = μ = $490
Standard deviation of weekly salary = σ = $45
Required Information:
P(X > $525) = ?
Answer:
P(X > $525) = 21.77%
Step-by-step explanation:
We want to find out the probability that a randomly selected teacher earns more than $525 a week.

The z-score corresponding to 0.78 from the z-table is 0.7823

Therefore, there is 21.77% probability that a randomly selected teacher earns more than $525 a week.
How to use z-table?
Step 1:
In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 0.7, 2.2, 1.5 etc.)
Step 2:
Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.78 then go for 0.08 column)
Step 3:
Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.
The numbers between 30 and 40 whose only factors are one and themselves, also called prime numbers, are 31 and 37.<span> Prime numbers are useful in generating numerical passwords or codes that are difficult to crack. so A) is the answer
</span>
<h3>
Answer: 7x-7</h3>
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Work Shown:
(6x-2)-(-x+5)
6x-2+x-5
(6x+x)+(-2-5)
7x-7
When distributing the negative, don't forget to apply the negative to every term inside the parenthesis. So that means -x flips to x, while +5 flips to -5.


Step-by-step explanation:
and
are two fractions that are greater than 1 but less than 2 with a denominator of 3;
The denominator is the lower number in a quotient
Numerator is the upper number in a quotient
To solve this problem, we need to think creatively:
A fraction is made up of a numerator and denominator.
The denominator in this case must be 3
The numerator can be any number;
since the solution of our fraction must be greater than 1, this implies that the numerator must higher than the denominator.
if the denominator is higher, we get a solution less than 1.
since the solution must be less than 2, the value lies between 1 and 2.
The solution to the problem is
and 
learn more:
fraction brainly.com/question/1757979
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