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butalik [34]
3 years ago
13

What is the distance between the points (5,5) and (2,9)? Question 3 options: 5 units 25 units 36 units 6 units

Mathematics
1 answer:
aleksklad [387]3 years ago
7 0
Use distance formula:

d = √( (x₁ - x₂)² + (y₁ - y₂)² )

Here you have x₁ = 5, x₂ = 2, y₁ = 5, y₂ = 9

So that would be √( (5-2)² + (5-9)² ) = √( (3)² + (-4)² ) = √(9+16) = √25 = 5

Final answer: 5 units
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The length of a rectangle is twice its width. The Perimeter is 42 cm. Find the length of each side.​
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Answer:

A) L = 2*W

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We'll put Equation A) into B)

2*2W + 2W = 42

4W + 2W = 42

6W = 42 cm

Width = 7 cm

Length = 14 cm

Step-by-step explanation:

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Suppose the mean height for adult males in the U.S. is about 70 inches and the standard deviation is about 3 inches. Assume men’
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Question options :

a. They should be between 64 and 76 inches tall.

b. They should be close to the height that is 95% of the mean. That is, 66.5 inches, plus or minus 2 standard deviations.

c. They should be at or below the 95th percentile, which is 74.92 inches.

d. None of the above.

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Step-by-step explanation:

Given the following :

Assume men's height follow a normal curve ; and :

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Standard deviation= 3 inches

According to the empirical rule ;

Assuming a normal distribution with x being random variables ;

About 68% of x-values lie between -1 to 1 standard deviation of the mean. With about 95% of the x values lying between - 2 and +2 standard deviation of mean. With 99.7% falling between - 3 to 3 standard deviations from the mean.

Using the empirical rule :

95% will fall between + or - 2 standard deviation of the mean.

Lower limit = - 2(3) = - 6

Upper limit = 2(3) = 6

(-6+mean) and (+6+ mean)

(-6 + 70) and (6+70)

64 and 76

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