asked 4.1k views
1 vote
A group of people are surveyed about whether they have any brothers or sisters or are an only child, and whether they have any pets.   have sibling only child have pets 82 105 no pets 141   Which value could go in the blank cell so that the percentage of only children that have no pets is 37.5%? Select the correct choice.

asked
User Neerajkh
by
8.5k points

1 Answer

2 votes

The value that could go in the blank cell so that the percentage of only children that have no pets is 37.5% is 63.

The correct answer is A) 63.

How to find the value that could go in the blank cell

Let's denote the value in the blank cell as x.

From the given information, we know that the number of only children who have pets is 105, and the number of only children who have no pets is x (the value we are trying to find).

To calculate the percentage of only children that have no pets, use the formula:

Percentage = (Number of only children with no pets / Total number of only children) * 100

We are given that the percentage of only children with no pets is 37.5%. Substitute the known values into the formula, we can solve for x:

37.5% = (x / (x + 105)) * 100

To simplify the equation, divide both sides by 100:

0.375 = x / (x + 105)

Next, cross-multiply:

0.375 * (x + 105) = x

0.375x + 39.375 = x

0.625x = 39.375

Divide both sides by 0.625:

x = 39.375 / 0.625

x = 63

Therefore, the value that could go in the blank cell so that the percentage of only children that have no pets is 37.5% is 63.

The correct answer is A) 63.

A group of people are surveyed about whether they have any brothers or sisters or are an only child, and whether they have any pets. have sibling only child have pets 82 105 no pets 141

Which value could go in the blank cell so that the percentage of only children that

have no pets is 37.5%?

A. 63

B. 82

C. 175

D. 205

answered
User Marcprux
by
9.0k points
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