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baherus [9]
3 years ago
10

How do you find the constant of proportionality

Mathematics
1 answer:
lyudmila [28]3 years ago
7 0
To find the constant of proportionality<span> here let's look at the equation of a line for a straight graph that passes through the origin. y is your vertical y-value for any given point on the line, x is your horizontal x-value for any given point on the line, and m is the slope.</span>
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A TEACHER IS CONSTRUCTING A MATHEMATICS TEST
Nuetrik [128]

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)!}

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)!}

6C3 = \frac{720}{36}

6C3 = 20

10C4 = \frac{10!}{4!(10-4)!}

10C4 = \frac{3628800}{17280}

10C4 = 210

12C4 = \frac{12!}{4!(12-4)!}

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

#SPJ1

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