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3 years ago

Mary ran 2 miles in about 23 minutes. If she continued at the same pace, how long will it take her to run 10 miles?

Mathematics

1 answer:

8090 [49]3 years ago

7 0

Answer:

115 minutes ( 1 hour and 55 minutes)

Step-by-step explanation:

Divide 23 by 2 to find out how fast she can run 1 mile

11.5

Now multiply 11.5 by 10

115 minutes

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At least 96.00% of the data in any data set lie within how many standard deviations of the mean? Explain how you arrived at yo

zheka24 [161]

The answer assumes that the question is about the normal distribution.

Answer:

96% of the data in any data set normally distributed is 2.05 standard deviations above and below the mean.

Step-by-step explanation:

The key to solving this question is having into account that exists the standard normal distribution that permits obtaining any probability from any normally distributed data, doing the following transformation:

$\\ z = \frac{x-\mu}{\sigma}$

That is, in this case, we subtract a given value x from the population mean and then divide the result by the population standard deviation. This is a z-score, and this value is associated with the probability for a standard normal distribution, with a population mean = 0 and population standard deviation = 1.

Fortunately, for the standard normal distribution, there is associated a ubiquitous standard normal table for possible values of z and the corresponding probability. Then, knowing that the data are normally distributed and having both distribution parameters, namely, the population mean and population standard deviation, we can consult any standard normal table to find the probabilities for any data distributed following the normal distribution.

However, even without previously know the values of the normal parameters, the standard normal distribution can tell us how many standard deviations from the mean are 96.00% of the data for every normally distributed population.

<h3>Solving the question</h3>

Having all this information at hand, we know that the z-score value tells us how many standard deviations from the mean are the data normally distributed. As a result, we can determine how many standard deviations below and above the population mean represent the 96.00% of the cases for this normal distribution consulting a cumulative standard normal table from the mean.

If we divide 96.00/2 = 48, that is, 0.48, we need to find the z-score for this probability consulting a cumulative standard normal table from the mean. The values for a z-score for that probability is z=2.05, approximately. So, since the normal distribution is also symmetrical, those values are above and below the mean, that is, z =2.05 (above) and z=-2.05(below).

Thus, 96% of the data in any data set normally distributed is 2.05 standard deviations above and below the mean.

5 0

3 years ago

Plz i need helpPlzzzzz I need help

Klio2033 [76]

Answer:

51%

Step-by-step explanation:

Add up the tallies, as follows: 17+24+9+19. Then divide the "cycling" tally (24) by this sum ( 69), obtaining the "observed probability that the customer will want to cycle"): p = 24/69 = 34.7%.

6 0

3 years ago

The house Trevor's family lives in has 6 66 people (including Trevor) and 3 33 bathrooms. In the past month, each person showere

yKpoI14uk [10]

Answer:

The amount Trevor's family pay per minute on shower water is $0.005.

Step-by-step explanation:

The cost of water is,

Cost = $0.20/liter

Amount of water used over the entire month:

Amount of water used = 72 liters

Compute the total water cost as follows:

Total water cost = Amount of water used × Cost

= 72 × 0.20

= $14.4/liter

The average number of minutes each person showered is:

Average number of minutes = 480 minutes.

The number of people in Trevor's house:

N = 6

Compute the total amount of time the 6 person showered as follows:

Total amount of time = Average number of minutes × N

= 480 × 6

= 2880 minutes

Compute the pay per minute on shower water as follows:

Pay per minute on water = Total water cost ÷ Total amount of time

= $14.4 ÷ 2880

= $0.005

Thus, the amount Trevor's family pay per minute on shower water is $0.005.

4 0

3 years ago

Pls help I have thirty minutes to get this done

Radda [10]

Answer:

1. D

2. F

3. B

4. A

5. A

6. F

Step-by-step explanation:

Solve for X

8 0

3 years ago

What is the sum of the first 70 consecutive odd numbers? Explain.

expeople1 [14]

The sum of the first n odd numbers is n squared! So, the short answer is that the sum of the first 70 odd numbers is 70 squared, i.e. 4900.

Allow me to prove the result: odd numbers come in the form 2n-1, because 2n is always even, and the number immediately before an even number is always odd.

So, if we sum the first N odd numbers, we have

$\displaystyle \sum_{i=1}^N 2i-1 = 2\sum_{i=1}^N i - \sum_{i=1}^N 1$