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MA_775_DIABLO [31]
3 years ago
15

What is the solution?

Mathematics
1 answer:
AfilCa [17]3 years ago
4 0

Answer:

A

Step-by-step explanation:

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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.

1 - 0.3783 = 0.6217

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

8 0
3 years ago
1. Which of the following has a value of 24?
Alja [10]
D has a value of 24.
V121 is 11, so 13 + 11 is 24
6 0
3 years ago
Read 2 more answers
What is 3x+4= -15? How would you get a negative number?
bulgar [2K]

Answer:

x=-\frac{19}{3}

Step-by-step explanation:

3x+4=-15

3x+4-4=-15-4

3x=-19

\frac{3x}{3}=\frac{-19}{3}

x=-\frac{19}{3}

5 0
3 years ago
A girl found dress fo £65.50 and there was an 15% sale on
Alika [10]

Answer: $65.50 - 15% = 55.675


Step-by-step explanation:

Conversion a decimal number to a fraction: 65.50 = 655

10

= 131

2

Conversion a decimal number to a fraction: 9.825 = 9825

1000

= 393

40

Subtract: 65.5 - 9.825 = 131

2

- 393

40

= 131 · 20

2 · 20

- 393

40

= 2620

40

- 393

40

= 2620 - 393

40

= 2227

40


The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 40) = 40

4 0
3 years ago
Read 2 more answers
You are about to take the road test for your​ driver's license. You hear that only 38​% of candidates pass the test the first​ t
OLga [1]

Answer:

Answers may vary but will most likely be close to 2.

Step-by-step explanation

  1.        Given:

                 first test:38%

                 second test:76%

    SIMULATION FIRST TEST

Randomly select a 2-digit number.

If the digit is between 00 and 35 then you passed the test,else you did not pass the test.

SIMULATION SECOND TEST

Randomly select a 2-digit number.

if the digit is between 00 and 75 then you passed the test,else you did not pass the test.

SIMULATION TRIAL

Perform the simulation of the first test.if you did not pass the first test then perform the simulation of the second test.

Record the number of trials needed to pass the first or second test.

Repeat 20 times and take the average of the 20 recorded number of trials

(what is the sum of recorded values divided by 20).

Note:you will most likely obtain a result of about two trials needed.

7 0
3 years ago
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