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Evgesh-ka [11]
3 years ago
10

Rafe and Sebastian both rode in a 5 mile bike race. There were so many riders that they started groups at different times. Rafe

started the race at 3:30 PM and finished the race at 4:00 PM. Sebastian started the race at 4:25 PM and finished at 4:53 PM. What was the speed, in miles per hour, of the boy who rode at a faster rate? Round to the nearest tenth if necessary.
Mathematics
1 answer:
kakasveta [241]3 years ago
4 0

Answer:

10.7 miles/hour

Step-by-step explanation:

So let's first write all the known for the question

total race = 5 mile

Rafe time 3:30~4:00pm

Sebastian time 4:25~4:53 pm

Then let's find out how much time rafe and sebastian took for races in hours and who took less time(who's faster)

Rafe time 30 min = 0.5 hours

Sebastian time 28 min = 0.467 hours

0.467 < 0.5 hours

-Hence Sebastian had faster speed.

Now let's calculate the speed of Sebastian

5 mile/0.467 hours= 10.714

Round to nearest tenth

10.7 miles/hour

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Answer:

=16 ft 6 in

Step-by-step explanation:

Remainder side = Total lot - house -other side

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3 years ago
Heights of Women. Heights of adult women are distributed normally with a mean of 162 centimeters and a standard deviation of 8 c
Bogdan [553]

Answer:

a) 6.68% of heights less than 150 centimeters

b) 58.65% of heights between 160 centimeters and 180 centimeters

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

\mu = 162, \sigma = 8

a) The percentage of heights less than 150 centimeters

We have to find the pvalue of Z when X = 150. So

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

Z = \frac{150 - 162}{8}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

6.68% of heights less than 150 centimeters

b) The percentage of heights between 160 centimeters and 180 centimeters

We have to find the pvalue of Z when X = 180 subtracted by the pvalue of Z when X = 160.

X = 180

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

Z = \frac{180 - 162}{8}

Z = 2.25

Z = 2.25 has a pvalue of 0.9878

X = 160

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

Z = \frac{160 - 162}{8}

Z = -0.25

Z = -0.25 has a pvalue of 0.4013

0.9878 - 0.4013 = 0.5865

58.65% of heights between 160 centimeters and 180 centimeters

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Answer: Answer is x

Step-by-step explanation:

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Ed turns 34 and deposits $100 at the end of each month in IRA that earns 9% interest p.A compounded monthly. Find how much will
pickupchik [31]

Answer:

FV= $123,879.85

Step-by-step explanation:

Giving the following information:

Montlhy deposit (A)= $100

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Number of periods (n)= 12*26= 312 months

<u>To calculate the future value, we need to use the following formula:</u>

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A= monthly deposit

FV= {100*[(1.0075^312) - 1]} / 0.0075

FV= $123,879.85

3 0
2 years ago
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