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Wittaler [7]
1 year ago
8

Data collected over a long period of time show that the length of time x to complete a particular college entrance test is norma

lly distributed with an average of 125 minutes and a standard deviation of 18 minutes. What is the probability that a student taking this test will finish in 100 minutes or less? round your answer to 4 decimal places. Remember to round all z values to 2 decimal places.
Mathematics
1 answer:
Finger [1]1 year ago
7 0

Using the z-table, the probability that a student taking this test will finish in 100 minutes or less is 0.0824 or 8.24%.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

First, solve for the z-score using the formula below.

z-score = (x – μ) / σ

where x = individual data value = 100

μ = mean = 125

σ = standard deviation = 18

z-score = (100 – 125) / 18

z-score = (-25) / 18

z-score = -1.39

Find the probability that corresponds to the z-score in the z-table. (see attached images)

-1.39 - (-1.3) : -1.4 - (-1.3) = x - 0.0968 : 0.0808 - 0.0968

-0.09 : -0.1 = x - 0.0968 : -0.016

x - 0.0968 = -0.09(-0.016)/-0.1

x = -0.0144 + 0.0968

x = 0.0824

x = 0.0824

Hence, the probability that a student taking this test will finish in 100 minutes or less is 0.0824 or 8.24%.

Learn more about probability here: brainly.com/question/26822684

#SPJ4

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natali 33 [55]
3/5 + 5/7 = 1 11/35 - 1/5 = 1 4/35 which is your final answer.
7 0
3 years ago
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Answer question 4 pls for math
brilliants [131]

Answer:

Rule: y = 2x

m = 2

b = 0

Step-by-step explanation:

(17, 34) and (22, 44)

<u>Slope:</u>

m=(y2-y1)/(x2-x1)

m=(44-34)/(22-17)

m= (10)/5

m = 2

<u>Slope-intercept:</u>

y - y1 = m(x - x1)

y - 34 = 2(x - 17)

y - 34 = 2x - 34

y = 2x

y = mx + b

y = 2x

b = 0

3 0
3 years ago
If anyone knows how to do this please help, its for a test and I have to finish the course by 11:59 tonight
abruzzese [7]
The correct answer would be c. hope this helps
3 0
2 years ago
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Please just give me the actual answer to this question Or at least help me understand because I don't get it and I have looked i
iren [92.7K]

Step-by-step explanation:

To begin with, this is an English question.

Here is what ethos, pathos and logos mean:

Ethos: writing an ethos response requires an argument that includes trustworthy language.

Pathos: writing a pathos response requires an argument that includes emotion and make the reader use their feelings while reading the piece.

Logos: writing a logos response requires an argument that includes facts and logic to ensure the reader that what you are saying is true and reasonable.

In this task, you must use ethos, pathos, and logos separately and try to convince your parents to stay home by yourself.

example:

Logos: Staying home by myself can teach me great responsibility and prepare me for the future. It is much better for me to learn how to take care of myself and what to do in case of an emergency. It is a great opportunity to practice independency. My grandparents would probably rather be undisturbed and I don't wish to trouble them. I am getting older and need to learn how to take care of everything alone. I think I can handle it and is good training. Furthermore, it is a good chance to have some alone time as it is shown that being alone can be healthier for individuals. To sum up, staying home alone is a responsibility I need to practice and I am ready for it.

I hope that helped

5 0
2 years ago
The local monsters are currently throwing a bash
sammy [17]

Answer: 55 minutes

Step-by-step explanation:

First, you would have to subtract 5 from 225 because there are already 5 monsters there.

225-5= 220

Next, you would have to divide 220 by 4 to find the amount of minutes.

220/4= 55

6 0
3 years ago
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