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Sedbober [7]
3 years ago
10

1.6 hours to 9.5 hour

Mathematics
1 answer:
postnew [5]3 years ago
8 0
7.9 would be your answer
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An elementary school class ran 1 mile in an average of 11 minutes with a standard deviation of 3 minutes. Rachel, a student in t
Natali5045456 [20]

Answer:

a) Kenji's time had a lower z-score, which means that he is better compared to other runners on his level, and better to his peers compared to Nedda.

b) Rachel, because her time had the lowest z-score.

Step-by-step explanation:

Z-score:

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:

The lower the time, the better the runner is. So whoever's time has a lower z-score is a better runner. So initially, we find the z-score of each student's time.

An elementary school class ran 1 mile in an average of 11 minutes with a standard deviation of 3 minutes. Rachel, a student in the class, ran 1 mile in 8 minutes.

This means that for Rachel's time, we have that X = 8, \mu = 11, \sigma = 3. So

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

Z = \frac{8 - 11}{3}

Z = -1

A junior high school class ran 1 mile in an average of 9 minutes, with a standard deviation of 2 minutes. Kenji, a student in the class, ran 1 mile in 8.5 minutes.

This means that for Kenji's time, we have that X = 8.5, \mu = 9, \sigma = 2. So

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

Z = \frac{8.5 - 9}{2}

Z = -0.25

A high school class ran 1 mile in an average of 7 minutes with a standard deviation of 4 minutes. Nedda, a student in the class, ran 1 mile in 8 minutes.

This means that for Nedda's time, we have that X = 8, \mu = 7, \sigma = 4. So

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

Z = \frac{8 - 7}{4}

Z = 0.25

(a) Why is Kenji considered a better runner than Nedda, even though Nedda ran faster than he?

Kenji's time had a lower z-score, which means that he is better compared to other runners on his level, and better to his peers compared to Nedda.

(b) Who is the fastest runner with respect to his or her class? Explain why

Rachel, because her time had the lowest z-score.

8 0
3 years ago
Solve: 7/9 = x/3<br> 0.33<br> 2.33<br> 23.3<br> 33
Novosadov [1.4K]

Step-by-step explanation:

\frac{7}{9}  =  \frac{x}{3}  \\  \\ x =  \frac{7 \times 3}{9}  \\  \\ x =  \frac{7}{3}  \\  \\  \huge \red{ \boxed{x = 2. 33}}

4 0
3 years ago
Read 2 more answers
Nadia is asked to find a number such that the difference between five times the number and three less than twice the number is e
kolbaska11 [484]

Answer:

Nadia is incorrect, please check explanations for the correction to her work

Step-by-step explanation:

Here, we want to validate the wok of Nadia

Let the number be n

5 times the number is 5 * n = 5n

Difference between 5n and 3 less than twice the number

3 less than twice the number is 2n-3

So it should be 2n-3 ;

The solution is thus;

5n - (2n-3) = 18

5n - 2n + 3 = 18

3n + 3 = 18

3n = 18-3

3n = 15

n = 15/3

n = 5

6 0
3 years ago
Read 2 more answers
Whoever guesses not only the song but the singer will get brainliest if there are any absurd answers they will be deleted.
mars1129 [50]

Answer: "See Me Fall" by Ro Ransom

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Find the value of X. Write your answer as a decimal.
finlep [7]

Answer:

  68.5

Step-by-step explanation:

Angles DEC and DAC are right angles, so their sum is 180°. DECA is a quadrilateral, which has a sum of interior angles equal to 360°. Then angle ACE is the supplement of angle D:

  ∠ACE = 180° -43° = 137°

Inscribed angle ABE has half the measure of central angle ACE, so we have ...

  x° = 137°/2

  x = 68.5

8 0
3 years ago
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