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Andrew [12]
2 years ago
5

3 1/5 divided by 1 1/2

Mathematics
1 answer:
Novay_Z [31]2 years ago
8 0

Answer:

2.13333333333

Step-by-step explanation:

First you do 5x3+1 = 16/5

Second, you do 2x1+1 = 3/2

Third, you divided 16/5 by 3/2.

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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
In the function y = 10.00x + 35, y represents the cost of cabin lodging per occupant and x represents the number of occupants. H
UkoKoshka [18]
Y = 10x + 35

if y is cost per occupant and x is occupants, then we can read the equation as such:

Cost is equal to 10 times number of occupants plus a 35$ fee

10 times the number of occupants is the part we are worried about

The cost increases by 10$ for every occupant


4 0
2 years ago
Read 2 more answers
The width of a rectangle is 80 feet. The length of the rectangle is longer than the width by a distance of feet. Write an algebr
Sauron [17]
Length=width+x
l=w+x (x being the amount of feet longer than the width)
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Point V is on line segment UW, given VW = x + 7, UW = 3x - 9, and UV = 8, determine the numerical length of UW
krek1111 [17]

Answer:

The numerical length of UW is 27

Step-by-step explanation:

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3 years ago
Which overlapping triangles are congruent by ASA?
Elena-2011 [213]

Answer:

D. ADC EBC

Step-by-step explanation:

cb & cd have that little line showing they're the same

5 0
3 years ago
Read 2 more answers
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