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Lina20 [59]
4 years ago
6

A 10-foot ladder is leaning against a tree. The bottom of the ladder is 4 feet away from the bottom of the tree. Approximately h

ow high up the tree does the top of the ladder reach?
A.2.4
B.6.0
C. 9.2
D. 10.8
Mathematics
1 answer:
Archy [21]4 years ago
5 0
C. 9.2 is your answer

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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
A shape that has 6 sides and 3 right angles
Salsk061 [2.6K]
Thank me here.... a irregular hexagon lol just need some points for helping
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According to a poll, 30% of voters support a ballot initiative. Hans randomly surveys 5 voters. What is the probability that exa
Leona [35]
Using the probability (conditional) formula, where P is equals to the number of favorable outcomes over the total number of outcomes. Calculating using five and the thirty percent, 1.5 is the answer. But that cannot be the answer.

So we look for the probability using this formula derived from the original, (total outcomes) x (percentage) = (favorable outcomes), 5x=2. That gives us the answer of 0.4 or 40%.
8 0
3 years ago
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The perimeter of a square is 56cm. What is the approximate length of its diagonal?
gogolik [260]

To find the answer, we can use the Pythagoras theorem, where:

\sqrt{a^{2}+ b^{2} } =c^{2}

Where a and b is the side length and c is the diagonal.

In this case:

\sqrt{56^{2} +56^{2} } \\ =\sqrt{6272} \\ =79.19596... \\ =79.2(correct to 3 sig. fig.)

Therefore, the answer is 79.2cm

Hope it helps!

6 0
3 years ago
Daisy has 1/8 tank of gas remaining when she pulls into a gas station. After she puts 15 gallons of gas in her car, the gas gaug
OLga [1]

Answer:

  24

Step-by-step explanation:

Let t represent the volume of the tank in gallons. Then we have ...

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  15 = (6/8 -1/8)t = (5/8)t . . . . . . . subtract 1/8t

  15(8/5) = (8/5)(5/8)t . . . . . . . . . multiply by 8/5 (the inverse of 5/8)

  24 = t

The tank holds 24 gallons.

5 0
3 years ago
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