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Sholpan [36]
3 years ago
14

a variable x has a normal distribution with mean 54 and standard deviation 5. approximately what percentage of the observations

will fall between 44 and 64?
Mathematics
1 answer:
yuradex [85]3 years ago
7 0

For a normal distribution with mean 54 and standard deviation 5 95.4% of them fall between 44 and 64

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

z=\frac{x-\mu}{\sigma} \\\\where\ \mu=mean.\sigma=standard\ deviation, x=raw\ score\\\\Given\ that\ mean(\mu)=54,standard \ deviation (\sigma)=5\\\\For\ x=44:\\\\z=\frac{44-54}{5}=-2\\\\For\ x=64:\\\\z=\frac{64-54}{5}=2

Therefore., from the normal distribution table:

P(44<x<64) = P(-2< z < 2) = P(z < 2) - P(z < -2) = 0.9772 - 0.0228 = 0.9544

Hence, About 95.4% of them fall between 44 and 64.

Find out more at: brainly.com/question/15016913

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What is the lowest common multiple (LCM) of 8, 2 and 5?
aivan3 [116]

Answer:

40

Step-by-step explanation:

Using the method of prime factors

8 = 2 × 2 × 2 = 2³

2 = 2

5 = 5

Then LCM = 2³ × 5 = 8 × 5 = 40

8 0
3 years ago
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What is the MAD of the data set?
const2013 [10]
The answer to your question is 2.4

3 0
3 years ago
One leg of a right triangle measures 6 inches. The remaining leg measures 6√3 inches. What is the measure of the angle opposite
Simora [160]
30°
Here's why:
Using the well-known Pythagorian theorem we can reckon how long the hypotenuse is:
c^2=6^2+36*3 -> c=12
Knowing that sin(a)=a/c=6/12=0.5 the measure of the angle in degrees is 30°
Hope could help :)
7 0
3 years ago
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The distance between the cities Atlanta and Indianapolis is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 h
lyudmila [28]

Answer:

5 hours

Step-by-step explanation:

A motorcycle will complete the 540 mile trip in 11.25 hours

And the car will complete it 2.25 hours less, i.e 11.25 -2,25 = 9 hours.

then,

Speed of the car:

60t + 48t = 540

108t = 540


If you Divide both sides by 108 we get t = 5

So, they will meet in 5 hours,



6 0
3 years ago
Can someone help lol free points btw
vazorg [7]

Answer:

The correct answer would be C

Step-by-step explanation:

Looking at the data, you can tell that the first two are going to be wrong. The minimum is 1, and the maximum is 5.

A mode, by definition, is the number that appears most in the data. According to answer D, 3 appears 3 times in the data. That is incorrect, as 3 only appears twice in the data.

This leaves only answer C. We need to make sure it's correct. The answer mentions the mean as a value between 2 and 3. Mean is the average. To find the average, you must add all the values together first.

1 + 2 + 5 + 3 + 2 + 2 + 5 + 3 = 23

Then, you must divide the value by the number of data given. There are 8 numbers here, so you must divide 23 by 8.

23/8 = 2.875

2.875 is between the numbers 2 and 3 like answer C said, so C is correct.

3 0
3 years ago
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