We have been given that at a customer service call center for a large company, the number of calls received per hour is normally distributed with a mean of 150 calls and a standard deviation of 5 calls. We are asked to find the probability that during a given hour of the day there will be between 146 calls and 163 calls.
First of all, we will use z-score formula to find z-score corresponding to 146 and 163.







Our next step is to find percentage of data scores falls between both z-scores.

Using normal distribution table, we will get:


Let us convert our answer into percentage.

Upon rounding our answer to nearest thousandths, we will get:

Therefore, the probability that during a given hour of the day there will be between 146 calls and 163 calls is approximately
.
Answer: Longest side = 19 ft
Explanation:
We are given a triangular shaped with two equal sides.
Let length of equal side be x ft
Third side is 4 ft longer than equal side.
Third side = (x+4) ft
Three sides of triangular garden are x, x and x+4.
The perimeter of triangular garden is 49 ft.
Perimeter of triangle = Sum of all three sides
Perimeter of triangle = 49 ft
x+x+x+4=49
3x=49-4
3x=45
x=15 ft
Longest side = x+4 => 15+4
Longest side = 19 ft
Answer:
Step-by-step explanation:
c + a = 342 ..................... <em>(1)</em>
5c + 12a = 2550 ........... <em>(2)</em>
- 5 × <em>(1)</em> + <em>(2)</em>
7a = 840
<em>a = 120</em>
<em>c</em> = 342 - 120 <em>= 222</em>
The answer is d because if you sketch it out it'll show d to have the vertical angle