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Fittoniya [83]
3 years ago
14

Which rate can you set StartFraction 30 miles Over 1 hour EndFraction equal to in order to find the time it takes to travel 900

miles at 30 miles per hour?
Mathematics
2 answers:
mezya [45]3 years ago
8 0

Answer:

 

Step-by-step explanation:

Since you have miles in the numerator of your rate, you need miles in the numerator of the equivalent fraction:

 

This can be rearranged to ...

 

Then, multiplying by 1 h gives the solution ...

 t = 30 h

It takes 30 hours to travel 900 miles at 30 miles per hour.

dsp733 years ago
6 0

Answer:

  \dfrac{30\,\text{mi}}{1\,\text{h}}=\dfrac{900\,\text{mi}}{t}

Step-by-step explanation:

Since you have miles in the numerator of your rate, you need miles in the numerator of the equivalent fraction:

  \dfrac{30\,\text{mi}}{1\,\text{h}}=\dfrac{900\,\text{mi}}{t}

This can be rearranged to ...

  \dfrac{t}{1\,\text{h}}=\dfrac{900\,\text{mi}}{30\,\text{mi}}=30

Then, multiplying by 1 h gives the solution ...

  t = 30 h

It takes 30 hours to travel 900 miles at 30 miles per hour.

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aleksandr82 [10.1K]

Using the normal distribution, the probabilities are given as follows:

a. 0.4602 = 46.02%.

b. 0.281 = 28.1%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

The parameters are given as follows:

\mu = 959, \sigma = 263, n = 37, s = \frac{263}{\sqrt{37}} = 43.24

Item a:

The probability is <u>one subtracted by the p-value of Z when X = 984</u>, hence:

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

Z = \frac{984 - 959}{263}

Z = 0.1

Z = 0.1 has a p-value of 0.5398.

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Item b:

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

By the Central Limit Theorem:

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

Z = \frac{984 - 959}{43.24}

Z = 0.58

Z = 0.58 has a p-value of 0.7190.

1 - 0.719 = 0.281.

More can be learned about the normal distribution at brainly.com/question/4079902

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