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Flauer [41]
3 years ago
15

A 13-mater fire-truck ladder is leaning against a wall. Find the distance the ladder goes up the wall if it makes an angle of el

evation of 43 degrees.
Mathematics
1 answer:
Vanyuwa [196]3 years ago
4 0
So to complete this you need to choose either sin cos or tan.

You know the hypotenuse and Ф but need to find the opposite.

So you would choose to use sin.

Opposite = sinФ * hypotenuse:
Opposite = sin43 * 13 = 8.9.

It would go 8.9 meters up the wall.

<em><u /></em><u />Hope this helps.
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What is 1875 ÷ 125 (show ur work long divison)
Colt1911 [192]

Answer:

15 R7

Step-by-step explanation:

     <u> 015</u>

32/ 487

      <u>0</u>

      48

      <u>32</u>

      167

      <u>160</u>

remainder 7

7 0
2 years ago
Suppose that a local TV station conducts a survey of a random sample of 120 registered voters in order to predict the winner of
forsale [732]

Answer:

a) The 99% CI for the true proportion of voters who prefer the Republican candidate is (0.3658, 0.6001). This means that we are 99% sure that the true population proportion of all voters who prefer the Republican candidate is (0.3658, 0.6001).

b) The upper bound of the confidence interval is above 0.5 = 50%, which meas that the candidate can be confidence of victory.

Step-by-step explanation:

Question a:

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 z-score that has a p-value of 1 - \frac{\alpha}{2}.

Sample of 120 registered voters in order to predict the winner of a local election. The Democrat candidate was favored by 62 of the respondents.

So 120 - 62 = 58 favored the Republican candidate, so:

n = 120, \pi = \frac{58}{120} = 0.4833

99% confidence level

So \alpha = 0.01, z is the value of Z that has a p-value of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.  

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4833 - 2.575\sqrt{\frac{0.4833*0.5167}{120}} = 0.3658

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4833 + 2.575\sqrt{\frac{0.4833*0.5167}{120}} = 0.6001

The 99% CI for the true proportion of voters who prefer the Republican candidate is (0.3658, 0.6001). This means that we are 99% sure that the true population proportion of all voters who prefer the Republican candidate is (0.3658, 0.6001).

b. If a candidate needs a simple majority of the votes to win the election, can the Republican candidate be confident of victory? Justify your response with an appropriate statistical argument.

The upper bound of the confidence interval is above 0.5 = 50%, which meas that the candidate can be confidence of victory.

8 0
2 years ago
Ann bought 6 CDs that were each the same price. Including sales tax, she paid a total of 93.60. Of that total, 4.20was tax. What
Mariulka [41]
If you do 93.60-4.20=89.40. Then you do 89.40 divided by 6= 14.90 so each cd before tax would be $14.90.
7 0
3 years ago
a pond is being dug according to plans that have a scale of 1 inch= 6.5 feet. The maximum distance across the pond is 9.75 inche
cestrela7 [59]

We are given a scale that for every 1 in on the plan, the actual length will 6.5 ft. 

The maximum distance across the pond on the plan is 9.75 in. So that means we will need to take 6.5 ft 9.75 times. So our answer is 

6.5*9.75=63.375 ft. That's the answer. 

We can visualize this a different way

1 in = 6.5 ft

9.75 in = x ft

And from here it's a little more clear to see what needs to be done. 

Hope this helped! 

6 0
3 years ago
Read 2 more answers
Maya runs 7 miles in 60 minutes. At the same rate, how many miles would she run in 24 minutes
Scilla [17]

Answer:

2.8 miles

Step-by-step explanation:

2.8 miles or minutes

3 0
3 years ago
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