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anzhelika [568]
2 years ago
14

What is the solution to the following system?

Mathematics
1 answer:
irakobra [83]2 years ago
8 0

Answer:

None?

Step-by-step explanation:

After using the 4 answers using what I think is (x,y,z) none of the answers were true.

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A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose pe
soldier1979 [14.2K]

Using the normal distribution, it is found that:

a) 0.8599 = 85.99% probability that x is more than 60.

b) 0.1788 = 17.88% probability that x is less than 110.

c) 0.6811 = 68.11% probability that x is between 60 and 110.

d) 0.0643 = 6.43% probability that x is greater than 125.

In a normal distribution 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.

In this problem:

  • The mean is of 87, thus \mu = 87.
  • The standard deviation is of 25, thus \sigma = 25.

Item a:

This probability is <u>1 subtracted by the p-value of Z when X = 60</u>, thus:

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

Z = \frac{60 - 87}{25}

Z = -1.08

Z = -1.08 has a p-value of 0.1401.

1 - 0.1401 = 0.8599

0.8599 = 85.99% probability that x is more than 60.

Item b:

This probability is the <u>p-value of Z when X = 110</u>, thus:

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

Z = \frac{110 - 87}{25}

Z = 0.92

Z = 0.92 has a p-value of 0.8212.

1 - 0.8212 = 0.1788.

0.1788 = 17.88% probability that x is less than 110.

Item c:

This probability is the <u>p-value of Z when X = 110 subtracted by the p-value of Z when X = 60</u>.

From the previous two items, 0.8212 - 0.1401 = 0.6811.

0.6811 = 68.11% probability that x is between 60 and 110.

Item d:

This probability is <u>1 subtracted by the p-value of Z when X = 125</u>, thus:

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

Z = \frac{125 - 87}{25}

Z = 1.52

Z = 1.52 has a p-value of 0.9357.

1 - 0.9357 = 0.0643.

0.0643 = 6.43% probability that x is greater than 125.

A similar problem is given at brainly.com/question/24863330

7 0
3 years ago
An electronic device that previously sold for $21.00 has been reduced to $17.43. The price reduction, rounded to the near east w
svet-max [94.6K]

The percentage of reduction is 17%

<u>Explanation:</u>

Original price = $21

Reduced price = $17.43

Percentage of reduction = ?

Difference in price = $21 - $17.43

                               = $3.57

Percentage of reduction = \frac{difference}{original} X 100

                                         = \frac{3.57}{21} X 100\\\\= 17

Therefore, percentage of reduction is 17%

7 0
2 years ago
The diameter of a circle is 12 centimeters. What is the circumference?
Alex17521 [72]

Answer:

the circumference is 37.7 cm

7 0
3 years ago
Read 2 more answers
Х
zhannawk [14.2K]

Answer:

41

Step-by-step explanation:

The question is a little vague, but I’m assuming you meant to say x + y. If that’s the case just do 24 + 17, which is 41.

5 0
2 years ago
Which inequalities are true plz help!!!
alex41 [277]

Answer:2,3, and 5

Step-by-step explanation:

3 0
2 years ago
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