Write the answer as an algebraic expression, then evaluate using the given values:

For an intramural sports program at a particular college, the time to run one mile is recorded for 200 male students in the prog

Greeley [361]

Answer:

Devon has the lower z-score, so he ran the mile faster relative to his gender.

Step-by-step explanation:

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.

Who ran the mile faster relative to their gender?

The lower the percentile of time ran, the faster. So whoever has the lower z-score ran the mile faster.

Devon

His best time to run the mile is 6.6 minutes.

These times are approximately normal with mean 8 minutes and standard deviation 1 minute.

We have to find Z when $X = 6.6, \mu = 8, \sigma = 1$ . So

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

$Z = \frac{6.6 - 8}{1}$

$Z = -1.4$

Kendall

Her best time to run the mile is 5.7 minutes.

These times are approximately normal with mean 7.5 minutes and standard deviation 2 minutes.

We have to find Z when $X = 5.7, \mu = 7.5, \sigma = 2$ . So

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

$Z = \frac{5.7 - 7.5}{2}$

$Z = -0.9$

Devon has the lower z-score, so he ran the mile faster relative to his gender.

3 0

3 years ago

How many pieces of wire 3.6cm long can be cut from a coil of 1m long?What is the length of the piece left over?

sp2606 [1]

Answer:

We can get 27 pieces of wire 3.6 cm long and have a piece 7/9 cm left over

Step-by-step explanation:

Find the "unit length" by dividing 1 m by 3.6 cm:

1 m

-----------

3.6 cm

Recall that 1 m = 100 cm. Multiply the following by the conversion factor 100 cm / 1 m:

1 m 100 cm

----------- * ----------------- = 27,7777777...

3.6 cm 1 m

We can get 27 pieces of wire 3.6 cm long and have a piece 7/9 cm left over (verify this by dividing 7 by 9 on a calculator).

8 0

3 years ago

Read 2 more answers

A hiker walks at a speed of 3 2/5 kilometers per hour. How many kilometers will the hiker walk-in 3/4 hours?

kramer

Answer: 2.55 (or 51/20) kilometers

Step-by-step explanation: 17/5 km per one hour is 51/20 (2.55) km per 3/4 hours

6 0

3 years ago

Which choice correctly expresses the number below in scientific notation?

SVEN [57.7K]

Answer:

D

Step-by-step explanation:

In scientific notation, the number that is being multiplied by the power of ten must be greater than or equal to 1 and less than 10. This eliminates options B, C, and E. The rest of the options are all 5.79 times something. To find that something, we can do 5,790,000 / 5.79 = 1000000 = 10⁶. This means that the answer is D.

4 0

3 years ago

the scale factor of the dimensions of two similar wood floors is 5 : 4 it cost 272 to refinish the smaller wood floor at that ra

Firdavs [7]

Answer:

if the smaller one with ratio 4 cost 272 then eat will the larger one of ratio 5cost how much so u cross multiply 4 is for 272 so wat Abt 5 n u get 340 for the cost of the larger one

6 0

3 years ago