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Musya8 [376]
2 years ago
14

3 PARTS FOR 40 PIONTS AND BRIANLY, TYSM IF YOU ANSWER WITH LOVE AND CARE.

Mathematics
1 answer:
pshichka [43]2 years ago
6 0

The domain of the function is [0.70, 2.55]

  • The range is [1.04, 2.56]
  • The domain is the set of x values and the range is the set of y values

<h3>How to determine the domain of the function?</h3>

From the question, we have the following parameters that can be used in our computation:

(0.70)(1.04)(1.15)(1.38)(1.86)(1.70)(2.55)(1.29)(2.22)(2.56)

When represented as a table, we have:

x            y

0.70    1.04

1.15      1.38

1.86     1.70

2.55     1.29

2.22    2.56

Remove the y values

So, we have

x = {0.70, 1.15, 1.86, 2.55, 2.22}

As an interval notation, we have: [0.70, 2.55]

This set of values is the domain

<h3>How to determine the range of the function?</h3>

In (a), we have the following table of values

x            y

0.70    1.04

1.15      1.38

1.86     1.70

2.55     1.29

2.22    2.56

Remove the x values

So, we have

y = {1.04, 1.38, 1.70, 1.29, 2.56}

As an interval notation, we have: [1.04, 2.56]

This set of values is the range

<h3>How the domain and the range are calculated</h3>

To determine the domain, we make use of the x values

While the y values are used to represent the range

Read more about domain and range at

brainly.com/question/2264373

#SPJ1

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Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Let x be a rand
lbvjy [14]

Answer:

a) 0.8708 = 87.08% probability that x is less than 60

b) 0.9641 = 96.41% probability that x is greater than 16.

c) 0.8349 = 83.49% probability that x is between 16 and 60

d) 0.1292 = 12.92% probability that x is more than 60.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 43, \sigma = 15

a. x is less than 60

This is the pvalue of Z when X = 60. So

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

Z = \frac{60 - 43}{15}

Z = 1.13

Z = 1.13 has a pvalue of 0.8708

0.8708 = 87.08% probability that x is less than 60

b. x is greater than 16

This is 1 subtracted by the pvalue of Z when X = 16. So

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

Z = \frac{16 - 43}{15}

Z = -1.8

Z = -1.8 has a pvalue of 0.0359

1 - 0.0359 = 0.9641

0.9641 = 96.41% probability that x is greater than 16.

c. x is between 16 and 60

This is the pvalue of Z when X = 60 subtracted by the pvalue of Z when X = 16. We found those in a and b, si:

0.8708 - 0.0359 = 0.8349

0.8349 = 83.49% probability that x is between 16 and 60

d. x is more than 60

This is 1 subtracted by the pvalue of Z when X = 60.

So

1 - 0.8708 = 0.1292

0.1292 = 12.92% probability that x is more than 60.

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Step-by-step explanation:

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Answer:

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3. Function 1 has a greater y-intercept than function 2

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Using the graph  (0,-1)  and (2,0)

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    = 1/2

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8 0
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