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MaRussiya [10]
2 years ago
14

PLEASE HELP ASAP!!! which one???

Mathematics
1 answer:
Mice21 [21]2 years ago
8 0

Answer:

b

Step-by-step explanation:

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3. The adult men of the Dinaric Alps have the highest average height of all regions. The
ahrayia [7]

Using the normal distribution, it is found that:

  • 3 - a) The 40th percentile of the height of Dinaric Alps distribution for men is of 72.2 inches.
  • 3 - b) The minimum height of man in the Dinaric Alps that would place  him in the top 10% of all heights is of 76.84 inches.
  • 4 - a) The 25th percentile for the math scores was of 71.6 inches.
  • 4 - b) The 75th percentile for the math scores was of 78.4 inches.

<h3>Normal Probability Distribution </h3>

In a <em>normal distribution </em>with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It 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, which is the percentile of X.

Question 3:

  • The mean is of 73 inches, hence \mu = 73.
  • The standard deviation is of 3 inches, hence \sigma = 3.

Item a:

The 40th percentile is X when Z has a p-value of 0.4, so <u>X when Z = -0.253</u>.

Z = \frac{X - \mu}{\sigma}

-0.253 = \frac{X - 73}{3}

X - 73 = -0.253(3)

X = 72.2

The 40th percentile of the height of Dinaric Alps distribution for men is of 72.2 inches.

Item b:

The minimum height is the 100 - 10 = 90th percentile is X when Z has a p-value of 0.9, so <u>X when Z = 1.28</u>.

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{X - 73}{3}

X - 73 = 1.28(3)

X = 76.84

The minimum height of man in the Dinaric Alps that would place  him in the top 10% of all heights is of 76.84 inches.

Question 4:

  • The mean score is of 75, hence \mu = 75.
  • The standard deviation is of 5, hence \sigma = 5.

Item a:

The 25th percentile is X when Z has a p-value of 0.25, so <u>X when Z = -0.675</u>.

Z = \frac{X - \mu}{\sigma}

-0.675 = \frac{X - 75}{5}

X - 75 = -0.675(5)

X = 71.6

The 25th percentile for the math scores was of 71.6 inches.

Item b:

The 75th percentile is X when Z has a p-value of 0.25, so <u>X when Z = 0.675</u>.

Z = \frac{X - \mu}{\sigma}

0.675 = \frac{X - 75}{5}

X - 75 = 0.675(5)

X = 78.4

The 75th percentile for the math scores was of 78.4 inches.

To learn more about the normal distribution, you can take a look at brainly.com/question/24663213

5 0
2 years ago
Please help me!!!!!!!
Mila [183]

Answer:

I not sure this 76.5

Step-by-step explanation:

9cmx17cm=156/2=76.5

Then 76.5/2= 39

I hope this helpful for you.... Sorry....

5 0
3 years ago
Which of the following equations is equivalent to 4[x + 2(3x – 7)] = 22x – 65?
pickupchik [31]

Answer:

X= -3/2

Step-by-step explanation:

6x/6=-9/6

6 0
3 years ago
If Ted runs at 8 mph write and equation to show how far ted runs in 15 min.
Svetlanka [38]

Answer:

c=8

Step-by-step explanation:

Where do I start when I'm trying to solve a word problem? ... 44=A+B+C=(32C)+3C+C=112C. Multiplying both ends by 211 we find. C=8 ... Mac's collection contain 8 more than twice as many as Ted's.

5 0
3 years ago
The length of an insect’s wing, drawn at a scale of 50:1, is 15 cm. What is the actual length of the wing?
MaRussiya [10]
The answer is 750.
15×50=750.
3 0
3 years ago
Read 2 more answers
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