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Tanya [424]
3 years ago
14

An elevator descends into a mine shaft at the rate of 5 m/min. If the descend starts from 15m above the ground, by how long will

it take to reach 350 m deep from the ground?
Mathematics
2 answers:
frez [133]3 years ago
8 0

Answer:

Step-by-step explanation:

First we need to do 350 - 15 since 350 is our total and we already started at 15m.

Next divide the remainder (335) by 5 because that’s how fast we are moving, the final answer is 67 minutes.

Alekssandra [29.7K]3 years ago
3 0
67 minutes is your answer
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The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.
valina [46]

Answer:

A sample of 179 is needed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.85}{2} = 0.075

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.075 = 0.925, so Z = 1.44.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

A previous study found that for an average family the variance is 1.69 gallon?

This means that \sigma = \sqrt{1.69} = 1.3

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

M = z\frac{\sigma}{\sqrt{n}}

0.14 = 1.44\frac{1.3}{\sqrt{n}}

0.14\sqrt{n} = 1.44*1.3

\sqrt{n} = \frac{1.44*1.3}{0.14}

(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2

n = 178.8

Rounding up

A sample of 179 is needed.

7 0
3 years ago
Choose the best decimal equivalent to represent 5/11
kolezko [41]

Answer:

To convert this fraction to a decimal, just divide the numerator (5) by the denominator (8): 5 ÷ 8 = 0.625. So,

5/8 = 0.625

Rounded values:

5/8 = 1 rounded to the nearest integer5/8 = 0.6 rounded to 1 decimal place5/8 = 0.63 rounded to 2 decimal places

Click to let others know, how helpful is it

Read more on Brainly.com - brainly.com/question/8678447#readmore

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
colleen purchased a large bag of apple. She used 1/2 of them to make applesauce. of those she had left,she used 3/4 to make an a
Brut [27]
I think the answer is 4 1/4
5 0
3 years ago
How can you use a 1/8 size measuring cup to measure 9/12 of corn syrup
algol13
(9/12) / (1/8) =
3/4 * 8 =
24/4 =
6 <=== u would use 6 one-eights size measuring cups to equal 9/12 of corn                syrup
5 0
3 years ago
The time for a professor to grade an exam is normally distributed with a mean of 16.3 minutes and a standard deviation of 4.2 mi
dem82 [27]

Answer:

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 16.3, \sigma = 4.2

What is the probability that a randomly selected exam will require more than 15 minutes to grade

This is 1 subtracted by the pvalue of Z when X = 15. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{15 - 16.3}{4.2}

Z = -0.31

Z = -0.31 has a pvalue of 0.3783.

1 - 0.3783 = 0.6217

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

8 0
3 years ago
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