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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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You pick a card at random.
katrin [286]

Answer:

The probabily of P(not less than 6) is

P= the favorable outcomes/ the total outcomes

favorable out come is 1 case(7)

the total outcomes are 5 cases(2,3,5,6)

P=1/5=20%

7 0
1 year ago
Whats the ninth term of 25 20 15 10 5
Kaylis [27]

Given:

The sequence is 25, 20, 15, 10, 5.

To find:

The ninth term of the given sequence.

Solution:

We have,

25, 20, 15, 10, 5

It is an AP because the difference between two consecutive terms are same.

Here,

First term (a) = 25

Common difference (d) = 20-25

                                       = -5

The nth terms of an AP is

a_n=a+(n-1)d

Where, a is the first term and d is the common difference.

Putting a=25, n=9 and d=-5 to get the 9th term.

a_9=25+(9-1)(-5)

a_9=25+(8)(-5)

a_9=25-40

a_9=-15

Therefore, the ninth term of the given sequence is -15.

3 0
2 years ago
Find the solution set the this inequality 2x -3 > 2x-5/2
prohojiy [21]

Answer:

0> 1/2

Step-by-step explanation:

5 0
1 year ago
In the decimal system, when we divide a number by 10, the rightmost digit in the number is the remainder. Divide the number 157
allochka39001 [22]

Answer:

See explanation

Step-by-step explanation:

Required

Divide 157 by 10 repeatedly.

This is done as follows...

157 Divided by 10 = 15 Remainder 7

15 Divided by 10 = 1 Remainder 5

1 Divided by 10 = 0 Remainder 1

<em>As per the requirement of the question, no further action or operation is required</em>

8 0
3 years ago
In order to estimate the difference between the average hourly wages of employees of two branches of a department store, the fol
Julli [10]

Answer:

0.071,1.928

Step-by-step explanation:

                                                Downtown Store   North Mall Store

Sample size   n                             25                        20

Sample mean \bar{x}                         $9                        $8

Sample standard deviation  s       $2                        $1

n_1=25\\n_2=20

\bar{x_1}=9\\ \bar{x_2}=8

s_1=2\\s_2=1

x_1-x_2=9-8=1

Standard error of difference of means = \sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}

Standard error of difference of means = \sqrt{\frac{2^2}{25}+\frac{1^2}{20}}

Standard error of difference of means = 0.458

Degree of freedom = \frac{\sqrt{(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}})^2}{\frac{(\frac{s_1^2}{n_1})^2}{n_1-1}+\frac{(\frac{s_2^2}{n_2})^2}{n_2-1}}

Degree of freedom = \frac{\sqrt{(\frac{2^2}{25}+\frac{1^2}{20}})^2}{\frac{(\frac{2^2}{25})^2}{25-1}+\frac{(\frac{1^2}{20})^2}{20-1}}

Degree of freedom =36

So, z value at 95% confidence interval and 36 degree of freedom = 2.0280

Confidence interval = (x_1-x_2)-z \times SE(x_1-x_2),(x_1-x_2)+z \times SE(x_1-x_2)

Confidence interval = 1-(2.0280)\times 0.458,1+(2.0280)\times 0.458

Confidence interval = 0.071,1.928

Hence Option A is true

Confidence interval is  0.071,1.928

4 0
2 years ago
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