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Alex Ar [27]
3 years ago
5

What value of x makes this proportion true?

Mathematics
1 answer:
Trava [24]3 years ago
8 0
The answer is 5:) you first have to cross multiply then divide both sides from x
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1. Elena takes two triangles off of the left side and three
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Step-by-step explanation:

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3 years ago
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-s
Radda [10]

Answer:

68%

Step-by-step explanation:

The Standard Deviation Rule = Empirical rule formula states that:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

From the question,

Step 1

We have to find the number of Standard deviation from the mean. This is represented as x in the formula

μ = Mean = 61

σ = Standard Deviation = 8

For x = 53

μ - xσ

53 = 61 - 8x

8x = 61 - 53

8x = 8

x = 8/8

x = 1

For x = 69

μ + xσ

69 = 61 + 8x

8x = 69 - 61

8x = 8

x = 8/8

x = 1

This falls within 1 standard deviation of the mean where: 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

Therefore, according to the Standard Deviation Rule, the approximate percentage of daily phone calls numbering between 53 and 69 is 68%

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2 years ago
How to find algebraic expressions using a table of values
Makovka662 [10]
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If ABCD is a square and AB = 10, what is the measure of BD? (rounded to the nearest hundredth) A) 7.07 B) 14.14 C) 19.21 D) 28.2
damaskus [11]

Answer:

B)14.14

Step-by-step explanation:

a square is made of 2 right triangles

the two legs of one right triangle are both 10 so

using Pythagorean theorem we get the square root of 10^2+10^2

this solves to the square root of (200)

which is ≈ 14.14...

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2 years ago
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