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KATRIN_1 [288]
3 years ago
5

A medical researcher needs 37 people to test the effectiveness of an experimental drug. If 101 people have volunteered for the t

est in how many ways can 37 people be selected
Mathematics
1 answer:
Rashid [163]3 years ago
5 0

Answer:

The number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

{n\choose k}=\frac{n!}{k!\cdot (n-k)!}

Compute the number of ways to select 37 people from 101 as follows:

{101\choose 37}=\frac{101!}{37!\cdot (101-37)!}

        =\frac{101!}{37!\times 64!}\\\\=\frac{101\times 100\times 99\times....64!}{37!\times 64!}\\\\=5397234129638871133346507775

Thus, the number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

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3 years ago
Damon plans to buy a snowboard that cost $160. Damon has $40. He will save $20 each week until he has enough to buy the snowboar
Gekata [30.6K]

Answer:  It will take Damon 6 weeks to save the money he needs to buy the snowboard

Step-by-step explanation:

First, let's see what the problem is giving us:

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- Damon has $40

- Damon is going to safe $20 weekly

- The snowboard costs $160

Therefor:

Our equation will be:  $40 + $20X = $160

Step 1

We need to isolate the variable by subtracting in both sides of the equation 40 in order to maintain the equality.

40 - 40 + 20X = 160 - 40

This will let us with 20X = 120

Step 2

We have to isolate the variable again, but this time (because the variable is being multiplied by 20) we have to divide on both sides of the equation.

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4 0
3 years ago
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Step-by-step explanation:

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<em>Hope this helps!</em>

6 0
3 years ago
? numbers can be written as a product of ? factors. this is called the prime factorization of a number
muminat
The complete sentence should be:

<span><em>Composite</em> numbers can be written as a product of <em>prime</em> factors. This is called the prime factorization of a number.

A prime number is a number that can't be divided by any other number other than 1 or itself. Otherwise, that is a composite number. For example, 50 is a composite number. Through prime factorization,

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The prime factors of composite number 50 are 5, 5 and 2.</span>
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3 years ago
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