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3 years ago

Simplified expression of 3(7/5x+4)-2(3/2-5/4x)

Mathematics

1 answer:

GuDViN [60]3 years ago

5 0

Answer:

6,7 x+9

Step-by-step explanation:

$3( \frac{7}{5} x + 4) - 2( \frac{3}{2} - \frac{5}{4} x) \\ 4.2x + 12 - 3 + 2.5x \\ 6.7x + 9$

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Answer:

Step-by-step explanation:

A=1/2×b×h

A=1/2×5cm×10cm

A=25cm

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3 years ago

A badminton net is tethered to the ground with a

Molodets [167]

Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Heidi earns 3% commission on the jewelry she sells each week. Last week, she sold the pieces of jewelry shown: $110, $275, $200,

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Billy bob jndndjkdmcm

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3 years ago

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