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vlada-n [284]
3 years ago
7

Write this ratio as a fraction in simplest form without any units. 8 yards to 21 feet

Mathematics
1 answer:
Deffense [45]3 years ago
6 0
8/7. You must turn yards into feet. There are three feet in a yard, so 24 overall. You then divide both 21 and 24 by 3 because it's the smallest common factor.
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Find the volume of triangular prism with the following dimensions. Round to the nearest whole number.
defon

Answer:

<em>124.0 ft^2</em>

Step-by-step explanation:

let b = base of triangle = 7ft

h = height of triangle = 4ft

and

l = height of prism. = 8.5ft

We know,

volume of prism = area of triangular face of prizm × height of prizm

= 1/2 × b × h × l

= 1/2 × 7 × 4 × 8.5

= 7 × 2 × 8.5

= 14 × 8.5

<h2> = <u>124.0 ft^2</u></h2>
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3 years ago
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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

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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%

3 0
3 years ago
The audience thinks 30\%30%30, percent of Brandon's jokes are funny.
Kisachek [45]

Answer:

3/10

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Brandon's jokes does the audience think are funny = 30%

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Express the percentage as a fraction

= 30%

= 30 / 100

= 3/10

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6 0
3 years ago
The width of a rectangle is 1/2 of its length. what are the sides of the rectangle if its perimeter in 63 in?
lesya [120]
The length is: 42 inches
The width is : 21 inches
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