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garik1379 [7]
3 years ago
15

Select all the numbers that are rational.

Mathematics
1 answer:
anygoal [31]3 years ago
3 0

Answers:

C, D, E

Step-by-step explanation:

A rational number is a integer. It is also a terminating or repeating decimal.

A rational number can be written as a fraction of two integers.

Answer A is not correct because it's decimal never ends. It is also not repeating. A cannot be written as a fraction.

Answer B is not correct because the square root is not a whole number, or a perfect square. The square root has a non-terminating and non-repeating decimal, just like A. B cannot be written as a fraction.

Answer C is rational because it has a terminating decimal.

D and E are integers, which also can be written as fractions.

Out of the options given, C, D, and E have rational numbers, while all others do not.

The answers are C, D, and E.

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masha68 [24]

Answer: The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

Step-by-step explanation:

Let x and y area the random variable that represents the heights of women and men.

Given : The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches.

i.e. \mu_1 = 64   \sigma_1=2.7

Since , z=\dfrac{x-\mu}{\sigma}

Then, z-score corresponds to  a woman 6 feet tall (i.e. x=72 inches).

[∵  1 foot = 12 inches , 6 feet = 6(12)=72 inches]

z=\dfrac{72-64}{2.7}=2.96296296\approx2.96

Men the same age have mean height 69.3 inches with standard deviation 2.8 inches.

i.e. \mu_2 = 69.3   \sigma_2=2.8

Then, z-score corresponds to a man 5'10" tall (i.e. y =70 inches).

[∵  1 foot = 12 inches , 5 feet 10 inches= 5(12)+10=70 inches]

z=\dfrac{70-69.3}{2.8}=0.25

∴ The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

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3 years ago
MODEL HOUSE Baron built a square pyramid block to use as the roof of a model house he was making. The square base had sides of l
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Step-by-step explanation:

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3 years ago
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zhannawk [14.2K]

Answer:

1. A = 40 units²

2. A = 72 units²

3. B) 45

Step-by-step explanation:

1.  This shape comprises 4 congruent triangles with base of 5 units and height of 5 units.

Area of a triangle = 1/2 x base x height

Therefore, area of polygon = 4(1/2 x 5 x 4)

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3.  Count the number of shaded squares:

9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45 units²

7 0
2 years ago
Audrey is buying a nee car for $32,998. She plans to make a down payment of $4,200. If she's to make a monthly payments of $525
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4,200+525(5×12)
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