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kherson [118]
3 years ago
7

A security light is being installed outside a loading dock. The light must be placed at a 65° angle so that it illuminates a par

king lot. If the distance from the end of the parking lot to the loading dock is 125 feet, the height of the security light is 113.29 feet.

Mathematics
1 answer:
jeka57 [31]3 years ago
3 0

Answer: False

Step-by-step explanation: I believe it would be false. Using the law of sines with the side lengths of 113.29 feet and 125 feet, and the corresponding angels of 25 and 65 degrees, the angle of the light is about 58.29. I believe this would make it false as the angle is incorrect.

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In a recent survey of 1002 people, 701 said that they voted in a recent presidential election. Voting records show that 61% of e
steposvetlana [31]

Answer:

The 95% confidence interval estimate of the proportion of people who say that they voted

(0.67122 , 0.72798)

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

In a recent survey of 1002 people, 701 said that they voted in a recent presidential election.

Sample proportion

                          p = \frac{x}{n} = \frac{701}{1002} = 0.6996  

<u><em>Step(ii)</em></u>

The 95% confidence interval estimate of the proportion of people who say that they voted

(p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} } )

(0.6996 - 1.96\sqrt{\frac{0.6996(1-0.6996)}{1002} } , 0.6996 + 1.96 \sqrt{\frac{0.6996(1-0.6996)}{1002} } )

(0.6996 - 1.96 X 0.01448 , 0.6996 + 1.96 X 0.01448)

(0.6996 - 0.02838 , 0.6996 + 0.02838)

(0.67122 , 0.72798)

<u><em>Final answer</em></u>:-

The 95% confidence interval estimate of the proportion of people who say that they voted

(0.67122 , 0.72798)

7 0
3 years ago
Y = 6x + 8 <br> y = –4x – 2
lara31 [8.8K]

Answer:

x= 2

y = 20

Step-by-step explanation:

y = 6x + 8

y = –4x – 2

y = 4 (6x + 8 )

y = 6 (–4x – 2)

y = 24x + 32

y = –24 -12

___________

y = 20

input that back into the equation to find x

20 = 6x + 8

20 - 8 = 6x

12 = 6x

x= 2

3 0
3 years ago
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Answer:

% Decrease = 11.45%

Step-by-step explanation:

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Expected Population = 5218

% Decrease = Original Population - Expected Population / Original population

% Decrease = (5893 - 5218 ) / 5893

% Decrease = 675/5893

% Decrease = 0.11454268

% Decrease = 11.454268%

% Decrease = 11.45% approximately.

6 0
3 years ago
Find the slope to Y = 5/2x-3
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Answer:

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Step-by-step explanation:

This equation is written in slope intercept form

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5 0
4 years ago
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Chance has $5 in quarters. Blake has $8 in dollar coins.
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Blake because he has 8
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