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2 years ago

12

Suppose the length of each side of a square is increased by 5 feet.if the perimeter of the square is now 56 feet.what were the o

riginal side lengths of the square?

1 answer:

skelet666 [1.2K]2 years ago

7 0

We can find the length of the sides now by dividing 56 by 4, which gives us 19. Subtracting 5 from 19 gives us our answer of 14 feet.

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There are three executives in an office, ages 56, 57, and 58. If a 57-year-old executive enters the room, the

vova2212 [387]

Answer:

option (c) The mean age will stay the same but the variance will decrease

Step-by-step explanation:

Case I: For 3 executives of ages 56, 57 and 58

Number of executives, n = 3

Mean = $\frac{\textup{56 + 57 + 58 }}{\textup{3}}$

or

Mean = 57

Variance = $\frac{\sum{(Data - Mean)^2}}{\textup{n-1}}$

or

Variance = $\frac{(56 - 57)^2+(57-57)^2+(58-57)^2}{\textup{3-1}}$

or

Variance = $\frac{1+0+1}{\textup{2}}$

or

Variance = 1

For Case II: For 4 executives of ages 56, 57, 58 and 57

Number of executives, n = 4

Mean = $\frac{\textup{56 + 57 + 58 + 57 }}{\textup{4}}$

or

Mean = 57

Variance = $\frac{\sum{(Data - Mean)^2}}{\textup{n-1}}$

or

Variance = $\frac{(56 - 57)^2+(57-57)^2+(58-57)^2+(57-57)^2}{\textup{4-1}}$

or

Variance = $\frac{1+0+1+0}{\textup{3}}$

or

Variance = 0.67

Hence,

Mean will remain the same and the variance will decrease

Hence,

The correct answer is option (c) The mean age will stay the same but the variance will decrease

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Answer: 5

This is because (4r + 6) means you take r and multiply that number by 4.

Because there is no number, r would equal one in this case.

4 • 1 is 4

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This would give us 1/2(10)

Half of 10 is 5.

Therefore, the answer is 5.

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