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galben [10]
3 years ago
12

Solve the inequality-24≤×-3-8×​

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
5 0

Answer:

3  ≥x

Step-by-step explanation:

-24≤x-3-8x

Combine like terms

-24≤-3-7x

Add 3 to each side

-24+3 ​≤-3+3-7x

-21 ≤-7x

Divide each side by -7, remembering to flip the inequality

-21/-7 ≥-7x/-7

3  ≥x

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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

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For this problem, we have that:

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

90% confidence level

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\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).

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3 years ago
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a person bought 8 items at a market and received $8 in change. if each item was priced at $4, how much did the person give the v
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