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aev [14]
3 years ago
9

An architect is making a floor plan for an apartment. The floor plan will include a Great Room with a length of 30 feet and a wi

dth of 20 feet. On her floor plan, 1/4 inch will represent 1 foot of the room’s actual width. What will be the width of the Great Room, in inches, on her floor plan?
Mathematics
1 answer:
RoseWind [281]3 years ago
4 0

Answer:

5 inches

Step-by-step explanation:

we know that

The scale drawing is

\frac{1}{4}\ in : 1\ ft

using proportion find out the width of the great room on her plan

\frac{(1/4)}{1}\ \frac{in}{ft}=\frac{x}{20}\ \frac{in}{ft}\\\\x=20(1/4)\\\\x=5\ in

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36 out of 100 randomly selected taxpayers knew about tax incentives for installing energy-saving furnaces. Find a 90% confidence
tresset_1 [31]

Answer:

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 100, \pi = \frac{36}{60} = 0.6

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 - 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.28

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.44

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

7 0
3 years ago
Given the equation 5 + x - 14 = x - 7.
Yanka [14]

Answer:

x=0

Step-by-step explanation:

combine like terms on both sides of the equal sign

-9+x= x-7

move similar terms to the same side

-2=0x

divide both sides by x

x=0

7 0
3 years ago
3) Which expression is equivalent to: 6(7-2) *<br> O 67-62<br> O42-12<br> O 7-2<br> O 13 - 8
Vlad1618 [11]

Answer:

42-12

Step-by-step explanation:

Here you go mate

Step 1

6(7-2)  Equation

Step 2

6(7-2)  simplify

6x5

answer

42-12=30  check

4 0
2 years ago
A race car travels 100 feet in .5 seconds. At this rate of speed, how many feeet will the race car travel in a minute?
soldier1979 [14.2K]

Answer:

Step-by-step explanation:

\frac{100ft}{0.5s} * 60s

\frac{100 * 60}{0.5}

\frac{6000}{0.5}

12000ft

5 0
3 years ago
Read 2 more answers
What is the interquartile range of this set of data? 15, 19, 20, 25, 31, 38, 41
Irina18 [472]
First, you have to find the median, which is the number in the middle: 25

Then cut the data in half by the median, so your new data sets are
15,29,20
    and 
31,38,41

Now you find the median of both of those sets, which is 29 and 38.

The interquartile range is the difference between the numbers, so 38-29 = 9.
8 0
3 years ago
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