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1 year ago

Determine the correct equation used in order to solve the problem "The number 24 is what percent of the number 40?"

1 answer:

4 0

The correct equation that represents the expression "The number 24 is what percent of the number 40?" is as shown below;

The the unknown number in percent be 'x'

x percent of number 40 is expressed as;

x% of 40

x/100 of 40

If 24 is equal to the expression above, then the final equation will be expressed as;

24 = x/100 of 40

24 = 40x/100

24 = 0.4x

Rearrange

0.4x = 24

Hence the correct equation used to solve the problem is 0.4x = 24

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3 years ago

A city council consists of seven Democrats and five Republicans. If a committee of four people is selected, find the probability

Hoochie [10]

Answer:

The probability of selecting two Democrats and two Republicans is 0.4242.

Step-by-step explanation:

The information provided is as follows:

A city council consists of seven Democrats and five Republicans.
A committee of four people is selected.

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:

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

Compute the number of ways to select four people as follows:

${12\choose 4}=\frac{12!}{4!\times (12-4)!}=495$

Compute the number of ways to selected two Democrats as follows:

${7\choose 2}=\frac{7!}{2!\times (7-2)!}=21$

Compute the number of ways to selected two Republicans as follows:

${5\choose 2}=\frac{5!}{2!\times (5-2)!}=10$

Then the probability of selecting two Democrats and two Republicans as follows:

$P(\text{2 Democrats and 2 Republicans})=\frac{21\times 10}{495}=0.4242$

Thus, the probability of selecting two Democrats and two Republicans is 0.4242.

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3 years ago