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 = 
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 = 
6C3 = 
6C3 = 20
10C4 = 
10C4 = 
10C4 = 210
12C4 = 
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:
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Answer:
Step-by-step explanation:
d=22 yd
r=11 yd
Volume V= 1/3×π ×11²×22=1/3×3.14×121×22≈2726.23 yd²
Answer:
The value of g[f(2)] = 13
Step-by-step explanation:
Given functions:
f(x) = x²
g(x) = 3x + 1
Find:
The value of g[f(2)]
Computation:
f(x) = x²
By putting x = 2 in f(x)
f(x) = x²
f(2) = 2²
f(2) = 2 × 2
f(2) = 4
So the value of f(2) = 4
Value of f(2) putting in g(x)
g(x) = 3x + 1
g(x) = 3x + 1
g[f(2)] = 3[f(2)] + 1
We know that f(2) = 4
So,
g[f(2)] = 3[f(2)] + 1
g[f(2)] = 3[4] + 1
g[f(2)] = 12 + 1
g[f(2)] = 13
The value of g[f(2)] = 13
9514 1404 393
Answer:
f(3) = 9
Step-by-step explanation:
The table entry ...
x ... f(x)
3 ... 9
means f(3) = 9.
Answer:
Option 1
Similar triangles have proportional sides.
This means that the sides of ΔABC must have the same ratio to the sides of ΔSTR, ΔLKJ, or ΔDEF.
The base angle of ΔABC is 6 and therefore the base angle of the similar triangle should be divisible by 6. This leaves ΔSTR out
Continue the process with the other sides:
side BC is 4 units meaning the corresponding side of either ΔDEF or ΔLJK with have to be divisible by 4. in JKL the corresponding side KL is 9 units and not divisible by 4. Therefore, DEF is the correct answer since its corresponding sides are proportional
Step-by-step explanation:
