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3 years ago

Working backwards. answer all questions numbers 14-16

Mathematics

1 answer:

Darina [25.2K]3 years ago

4 0

14. height = volume/ ( length x width)

Height = 224/ ( 2x8)

Height = 224/16

Height = 14 inches.

15. height = volume/ area of the top(circle)

Area of top = pix r^2 = 3.14 x 4 = 12.56 square inches.

Height = 62.8/12.56 = 5 inches

16. Volume/ height = area of top(circle)

169.56/ 6 = 28.26 square inches

Area = pi x r^2

28.26 = 3.14 x r^2

Divide both sides by 3.14

R^2 = 28.26/3.14 = 9

Take the square root of both sides

R = sqrt(9)

R = 3

Radius = 3 inches

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200 feet per minute

Step-by-step explanation:

1000 / 5 gives us the feet per minute

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3 years ago

Tutoring Services: The Community College Survey of Student Engagement reports that 46% of the students surveyed rarely or never

mina [271]

Answer:

Mean: 0.400

Standard error: 0.022

Step-by-step explanation:

We are taking samples of size n=500 out of a population with parameter p=0.40.

The expected distribution is the sampling distribution of sampled proportions. This distribution has parameters that are calculated as:

Mean: the mean of the sampling distribution is equal to the population proportion, as it is not biased.

In this case, the mean of this sampling distribution is p=0.40.

Standard error: the standard error depends on the population proportion and the sample size. It is calculated as:

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3 years ago

An article reported that, in a study of a particular wafer inspection process, 356 dies were examined by an inspection probe and

Marta_Voda [28]

Answer:

The 95% confidence interval for the proportion of all dies that pass the probe is (0.637, 0.733).

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

356 dies were examined by an inspection probe and 244 of these passed the probe.

This means that $n = 356, \pi = \frac{244}{356} = 0.685$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a p-value of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.685 - 1.96\sqrt{\frac{0.685*0.315}{356}} = 0.637$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.685 + 1.96\sqrt{\frac{0.685*0.315}{356}} = 0.733$

The 95% confidence interval for the proportion of all dies that pass the probe is (0.637, 0.733).

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3 years ago

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geniusboy [140]

Answer:

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Step-by-step explanation:

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3 years ago

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creativ13 [48]

Answer:

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Step-by-step explanation:

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3 years ago

Working backwards. answer all questions numbers 14-16​

Working backwards. answer all questions numbers 14-16