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Lilit [14]
3 years ago
9

An architect's electronic blueprint of a building has a scale of 1 inch equals 12 feet. What's the actual distance between the f

loor on the first floor and the floor on the 15th floor if the blueprint shows that the two floors are 14.375 inches apart?
A. 171.6 feet
B. 172.8 feet
C. 172.44 feet
D. 172.5 feet
Mathematics
2 answers:
lbvjy [14]3 years ago
7 0

Answer:

Option D is correct choice.

Step-by-step explanation:

We are told that an architect's electronic blueprint of a building has a scale of 1 inch equals 12 feet.

To find actual distance between the floor on the first floor and the floor on the 15th floor we will multiply blueprint distance by 12.

14.375\text{ inches} \cdot 12\frac{\text{ feet}}{\text{ inch}}

=172.5\text{ feet}

Therefore, actual distance between the floor on the first floor and the floor on the 15th floor is 172.5 feet.

alekssr [168]3 years ago
4 0

Answer:

Option D. 172.5 feet.

Step-by-step explanation:

An architect's electronic blueprint of a building has a scale of 1 inch = 12 feet.

It is given that the distance between first floor and 15th floor = 14.375 inches.

We will make a set up of equal ratio.

\frac{\text{12 feet}}{\text{1 inches}} = \frac{\text{x feet}}{\text{14.375 inches}}

x = 14.375 × 12

x = 172.5 feet

Option D. The two floors are 172.5 feet apart.

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If you multiply a number by 3 and divide by 4 the result is 24. what is the number?
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Among freshman at a certain university, scores on the Math SAT followed the normal curve, with an average of 550 and an SD of 10
lina2011 [118]

Answer:

a) 6.68th percentile

b) 617.5 points

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

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\mu = 550, \sigma = 100

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X - 550 = 0.675*100

X = 617.5

6 0
3 years ago
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