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agasfer [191]
3 years ago
5

A client would like this logo printed onto a canvas that is at least 70 inches tall. The original logo is 4.5 inches wide by 3.6

inches tall. Which of the following dimensions will keep the logo in proportion and large enough to meet the clients requirements?
Mathematics
1 answer:
vfiekz [6]3 years ago
4 0

Answer:

87.5 by 70 inches

Step-by-step explanation:

No options were given. So, I will calculate the minimum width

Given

Original\ Logo = 4.5 : 3.6

Height = 70 in ---- of the printed logo

Required

Determine the dimension that keeps the requirement

Let x be the width of the printed logo.

So, the ratio can be represented as:

Printed\ Logo = x : 70

Equate both ratios

x  : 70 = 4.5 : 3.6

As fraction

x  / 70 = 4.5 / 3.6

Multiply through by 70

70 * x  / 70 = 4.5 / 3.6* 70

x = 87.5

So, one of the dimension that meets the requirement is a width of 87.5 inches

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A manufacturing company measures the weight of boxes before shipping them to the customers. If the box weights have a population
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Answer:

<u>The probability that the average weight of the boxes will exceed 94 pounds  is 43.25%</u>

Step-by-step explanation:

1. Let's review the information provided to answer the question correctly:

Mean of the population of box weights = 90 pounds

Standard deviation of the population of box weights = 24 pounds

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2. What is the probability that the average weight of the boxes will exceed 94 lb?

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z-score is 0.17 because 4 pounds is 1/6 of the standard deviation (24).

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1 - 0.5675 = 0.4325

<u>The probability that the average weight of the boxes will exceed 94 pounds  is 43.25%</u>

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