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kkurt [141]
2 years ago
14

A teacher pushed a 27 kg desk across the floor for a distance of 5 meters in four seconds what was his power?

Mathematics
1 answer:
yan [13]2 years ago
6 0
His Power Would Be exactly 450 joules
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The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 33,208 miles, with a standard
avanturin [10]

Answer:

There is a 92.32% probability that the sample mean would differ from the population mean by less than 633 miles in a sample of 49 tires if the manager is correct.

Step-by-step explanation:

Problems of normally distributed samples can be 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 33,208 miles, with a standard deviation of 2503 miles.

This means that \mu = 33208, \sigma = 2503.

What is the probability that the sample mean would differ from the population mean by less than 633 miles in a sample of 49 tires if the manager is correct?

This is the pvalue of Z when X = 33208+633 = 33841 subtracted by the pvalue of Z when X = 33208 - 633 = 32575

By the Central Limit Theorem, we have t find the standard deviation of the sample, that is:

s = \frac{\sigma}{\sqrt{n}} = \frac{2503}{\sqrt{49}} = 357.57

So

X = 33841

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

Z = \frac{33841 - 33208}{357.57}

Z = 1.77

Z = 1.77 has a pvalue of 0.9616

X = 32575

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

Z = \frac{32575- 33208}{357.57}

Z = -1.77

Z = -1.77 has a pvalue of 0.0384.

This means that there is a 0.9616 - 0.0384 = 0.9232 = 92.32% probability that the sample mean would differ from the population mean by less than 633 miles in a sample of 49 tires if the manager is correct.

4 0
3 years ago
Help!<br> Algebraic Relationship <br> y= x/4-1
loris [4]

32, 7

0, - 1

20, 4

You just plug in the numbers and solve

3 0
2 years ago
PLEASE HELP IM CONFUSED! Find what the measurements of angles a-c are and state the reason
nata0808 [166]

Answer:

<a = 90°   (180-90 supplementary angle)

<b = 90°   (180-90 supplementary angle)

<d = 48°   (180-132 supplementary angle)

<e = 132°  (opposite angle)

<c = 42°     (interior angles of a triangle equal 180.  180-48-90=42)

Step-by-step explanation:

<a = 90°   (180-90 supplementary angle)

<b = 90°   (180-90 supplementary angle)

<d = 48°   (180-132 supplementary angle)

<e = 132°  (opposite angle)

<c = 42°     (interior angles of a triangle equal 180.  180-48-90=42)

8 0
3 years ago
Can anyone pls answer this! it's really urgent! ​
stich3 [128]

Answer:

The answer is C

Step-by-step explanation:

You need to find a common denominator and in this case its 20. SO you change 3/4ths to 15/20 and 4/5ths to 16/20ths and 19/20 stays the same. Then you cancel out the 20 because its all the same number (I think) and you have your answer.

8 0
3 years ago
What is additive inverse of the check?
elena-14-01-66 [18.8K]

Answer:

Make sure that all words are spelled correctly.

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7 0
3 years ago
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