You add 10 to each side of the equation to find that b=15. 15+6=21 so the answer is 21.
The number of ways of constructing questions from the pool of 28 questions if her test is to have 3 difficult, 4 average and 3 easy questions is 924, 000 ways
<h3>How to determine the combination</h3>
Note that the formula for combination is given as;
Combination = ![\frac{n!}{r!(n-r)!}](https://tex.z-dn.net/?f=%5Cfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D)
From the information we have that;
There are 28 questions in the pool
The test should have a total of 10 questions;
6 difficult , 10 average and 12 easy questions
We are asked to determine the combination of;
3 difficult questions
4 average questions
3 easy questions
6C3 = ![\frac{6!}{3!(6-3)!}](https://tex.z-dn.net/?f=%5Cfrac%7B6%21%7D%7B3%21%286-3%29%21%7D)
6C3 = ![\frac{720}{36}](https://tex.z-dn.net/?f=%5Cfrac%7B720%7D%7B36%7D)
6C3 = 20
10C4 = ![\frac{10!}{4!(10-4)!}](https://tex.z-dn.net/?f=%5Cfrac%7B10%21%7D%7B4%21%2810-4%29%21%7D)
10C4 = ![\frac{3628800}{17280}](https://tex.z-dn.net/?f=%5Cfrac%7B3628800%7D%7B17280%7D)
10C4 = 210
12C4 = ![\frac{12!}{4!(12-4)!}](https://tex.z-dn.net/?f=%5Cfrac%7B12%21%7D%7B4%21%2812-4%29%21%7D)
12C4 = 220
The number of ways of constructing the questions is
= 20 × 210 × 220
= 924, 000 ways
Thus, the number of ways of constructing questions from the pool of 28 questions if her test is to have 3 difficult, 4 average and 3 easy questions is 924, 000 ways
Learn more about combination here:
brainly.com/question/4658834
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Hello!
To find the area of a rectangle you do length * width
You can plug in the values you know
(x - 2) * 5 = 30
Divide both sides by 5
x - 2 = 6
Add 2 to both sides
x = 8
The answer is 8
Hope this helps!
700,000. 900 is higher than 4 so that means you round up
Hope it helps
Answer:
C. 154 in
Step-by-step explanation:
The radius of any circle is 1/2d (d is the diameter). So, our radius here is
r = 1/2(14)
r = 7
The area of a circle is A = (pi)(r^2)
We can approximate pi=3.14 and plug in everything we know to solve
A = (pi)(r^2)
A = (3.14)(7^2)
A = (3.14)(49)
A = 153.86
We can round that to 154 and that's your answer