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Mashutka [201]
3 years ago
12

Suppose that the scores on a reading ability test are normally distributed with a mean of and a standard deviation of . What pro

portion of individuals score more than points on this test? Round your answer to at least four decimal places.
Mathematics
1 answer:
Gnoma [55]3 years ago
4 0

Answer:

The proportion of individuals score at most 74 points on this test is 70%.

Step-by-step explanation:

The complete question is:

Suppose that the scores on a reading ability test are normally distributed with a mean of 70 and a standard deviation of 8. What proportion of individuals score at most 74 points on this test? Round your answer to at least four decimal places.

Solution:

Let <em>X</em> represent the scores on a reading ability test.

It is provided that X\sim N(70,8^{2}).

Compute the probability that an individuals score is at most 74 points on this test as follows:

P(X\leq 74)=P(\frac{X-\mu}{\sigma}\leq \frac{74-70}{8})

                 =P(Z

Thus, the proportion of individuals score at most 74 points on this test is 70%.

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4 + 8x + 2.2 - 10x pls help need to simplefy
Verdich [7]

Answer:

Here use this to help you

Step-by-step explanation:

https://www.geteasysolution.com/4+8x+2.2-10x=

8 0
2 years ago
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A number that divided by 3 leaves 2, divided by 5 leaves 3 and divided by 7 leaves 2. What is the number?
Bogdan [553]
X/3=2 
x=6

x/5=3
x=15

x/7=2
x=14

Each time, you multiply both sides by the denominator.

Hope this helps :)
7 0
2 years ago
A statistics student wants to compare his final exam score to his friend's final exam score from last year; however, the two exa
yarga [219]

Answer:

z= \frac{85-70}{10}=1.5

z= \frac{45-35}{5}=2

So then the correct answer for this case is:

B) Our student, Z= 1.50; his friend, Z=2.00.

Step-by-step explanation:

Assuming this complete question:

A statistics student wants to compare his final exam score to his friend's final exam score from last year; however, the two exams were scored on different scales. Remembering what he learned about the advantages of Z scores, he asks his friend for the mean and standard deviation of her class on the exam, as well as her final exam score. Here is the information:

Our student: Final exam score = 85; Class: M = 70; SD = 10.

His friend: Final exam score = 45; Class: M = 35; SD = 5.

The Z score for the student and his friend are:

A) Our student, Z= -1.07; his friend, Z= -1.14.

B) Our student, Z= 1.50; his friend, Z=2.00.

C) Our student, Z= 1.07; his friend, Z= -1.14.

D) Our student, Z= 1.07; his friend, Z= 1.50

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution

Let X the random variable that represent the scores for our student, and for this case we know that:

E(X)= \mu =70, SD_X=\sigma=10  

The z score is given by:

z=\frac{x-\mu}{\sigma}

If we use this we got:

z= \frac{85-70}{10}=1.5

Let Y the random variable that represent the scores for his friend, and for this case we know that:

E(Y)= \mu =35, SD_Y=\sigma=5  

The z score is given by:

z=\frac{y-\mu}{\sigma}

If we use this we got:

z= \frac{45-35}{5}=2

So then the correct answer for this case is:

B) Our student, Z= 1.50; his friend, Z=2.00.

3 0
3 years ago
3 consecutive integers for 273
a_sh-v [17]

Answer:

90, 91 and 92

Step-by-step explanation:

Given

Consecutive integers = 273

Required

Find the integers

The question seem to be incomplete. However, I'll assume we're dealing with sum.

Let the smallest integer be y.

So,

y + y + 1 + y + 2 = 273

Collect like terms.

y + y + y = 273 - 2 - 1

3y = 270

Divide both sides by 3

y = 90

Hence, the integers are 90, 91 and 92

8 0
2 years ago
Technician A says that a cylinder leakage test fills the cylinder with compressed air and the gauge indicates the percentage of
alukav5142 [94]

Answer:

Technician A is correct.

Step-by-step explanation:

Technician A says that a cylinder leakage test fills the cylinder with compressed air, and the gauge indicates the percentage of leakage.

This is correct.

The cylinder leakage test is also called engine leak down test. Here rather than measuring the ability of engine to generate pressure, compressed air is filled in the cylinder via spark plug hole.

8 0
3 years ago
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