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:
Solution → (2, -1)
Step-by-step explanation:
Input-output values table for equation (1),
2x + y = 3
x -1 0 1 2
y 5 3 1 -1
Input-output values table for equation (2),
y = x - 3
x -1 0 1 2
y -4 -3 -2 -1
Now plot these points to get the graphs of both the equations.
Common point (2, -1) of both the lines will be the solution of the system of equations.
<h2>
Answer:</h2><h3>b. n is odd</h3><h2>
Step-by-step explanation:</h2>
In this problem, we assume that 
is a whole number. The definition of inverse functions tells us that a function 
has an inverse function if and only if the function is one-to-one, that is, if there is no any horizontal line intersecting the graph of at more than one point. This only happens if is odd. This is called the Horizontal Line Test for Inverse Functions. So let's take two examples:
FIRST:
Since n is even, an horizontal line will pass through two points as indicated in the first figure below.
SECOND:
Since n is odd, an horizontal line will pass through just one point as indicated in the second figure below.
Answer: 41.2 degrees
Step-by-step explanation:
Complementary angles are angles that add to 90 degrees, so if they were equal, they would be 45 and 45, but since one is 3.8 more, it is 45+3.8 = 48.8 and the other, to add to 90 degrees is 90-48.8 = 41.2
