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zavuch27 [327]
3 years ago
5

HELP ASAP FOR BRAINLIEST: The time required to finish a test in normally distributed with a mean of 60 minutes and a standard de

viation of 10 minutes. What is the z-score for a student who finishes the test in 23 minutes? Show work please :)
Mathematics
1 answer:
liubo4ka [24]3 years ago
4 0

Answer:

<u>The z-score = -3.7 and p (-3.7) = 0.00011 or 0.011%</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Mean of time to finish a test = 60 minutes

Standard deviation of time to finish a test = 10 minutes

Time that a student finishes the test = 23 minutes

2. What is the z-score for the student?

z-score = (Time that a student finishes the test - Mean of time to finish a test)/Standard deviation of time to finish a test

Replacing with the real values:

z-score = (23 -60)/10 = -37/10 = -3.7

<u>z-score = -3.7 and p (-3.7) = 0.00011 or 0.011%</u>

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Answer:

4

Step-by-step explanation:

  28 = 22 • 7  

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5 0
2 years ago
A gondola (cable car) at a ski area holds 50 people. Its maximum safe load is 10000 pounds. A population of skiers has a distrib
fenix001 [56]

Answer:   0.03855

Step-by-step explanation:

Given :A population of skiers has a distribution of weights with mean 190 pounds and standard deviation 40 pounds.

Its maximum safe load is 10000 pounds.

Let X denotes the weight of 50 people.

As per given ,

Population mean weight of 50 people = \mu=50\times190=9500\text{ pounds}

Standard deviation of 50 people =\sigma=40\sqrt{50}=40(7.07106781187)=282.84

Then , the probability its maximum safe load will be exceeded =

P(X>10000)=P(\dfrac{X-\mu}{\sigma}>\dfrac{10000-9500}{282.84})\\\\=P(z>1.7671-8)\\\\=1-P(z\leq1.7678)\ \ \ \ [\because\ P(Z>z)=P(Z\leq z)]\\\\=1-0.96145\ \ \ [\text{ By p-value of table}]\\\\=0.03855

Thus , the probability its maximum safe load will be exceeded = 0.03855

3 0
3 years ago
Explain why each of the following studies may fail to yield the desired information. (a) To determine the average annual income
harkovskaia [24]

Answer:

the following studies may fail to yield the desired information because

(a) i. some of the students might have died before 2015.

ii. Some people might lie based on the questionnaire sent.

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Step-by-step explanation:

Information may be altered when individuals are asked about their income or spending in other to show off to friends or the person asking the questions.

8 0
3 years ago
Need help will give thanks and brainliest
Lina20 [59]

Answer : y = 11x + 24

7 0
2 years ago
Read 2 more answers
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System of Linear Equations entered :

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[2] 6x - 7y = 8
Graphic Representation of the Equations :

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Solve equation [2] for the variable x


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[2] x = 7y/6 + 4/3
// Plug this in for variable x in equation [1]

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x = 7y/6+4/3
y = -2
// Use the y value to solve for x

x = (7/6)(-2)+4/3 = -1
8 0
2 years ago
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