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Lady bird [3.3K]
3 years ago
6

During a 360 minute school day the students are allowed 5 minutes for passing period to

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
5 0

Answer: 41 minutes

Step-by-step explanation: 360 - 43 = 317

6 x 5 = 30

317 -  30 = 287

287 divided by 7 = 41 minutes

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2 years ago
The time for a professor to grade an exam is normally distributed with a mean of 16.3 minutes and a standard deviation of 4.2 mi
dem82 [27]

Answer:

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

Step-by-step explanation:

Problems of normally distributed samples are solved using 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 problem, we have that:

\mu = 16.3, \sigma = 4.2

What is the probability that a randomly selected exam will require more than 15 minutes to grade

This is 1 subtracted by the pvalue of Z when X = 15. So

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

Z = \frac{15 - 16.3}{4.2}

Z = -0.31

Z = -0.31 has a pvalue of 0.3783.

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62.17% probability that a randomly selected exam will require more than 15 minutes to grade

8 0
3 years ago
Points (1,3), (-4,7), and (-29,K) are collinear. Find K.<br><br> How do i solve this?
oee [108]
Co linear points have same slope
<span>Points (1,3), (-4,7), and (-29,K)
m1,2=7-3/-4-1=-4/5

m2,3=K-7/-29+4
m2,3=K-7/-25

-4/5=K-7/-25
4/5=K-7/25
4=K-7/5
20=K-7
K=27
 </span>
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3 years ago
Can someone help me with this question?
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6 0
3 years ago
The ratio 15:3 in its simplest
Gnoma [55]

Answer:

5:1

Step-by-step explanation:

Divide each by 3.

5 0
3 years ago
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