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vladimir2022 [97]
3 years ago
8

The cost depends upon the number of long distance minutes, m, Amy uses. Write the rule that describes Amy's monthly cost.

Mathematics
1 answer:
Yuri [45]3 years ago
3 0
Minutes(m)              Cost
0                                  20
10                                22
20                                24
50                                30

slope formula:
m = (y1 - y2) / (x1 - x2)
m = (20 - 22) / (0 - 10) = -2/-10 = 1/5 or 0.20

y = (1/5)(x) + 20

The rule that describes Amy's monthly cost is:
m = 1/5x + 20 or m = 0.20x + 20

Where x is the number of minutes spent on the call.

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3 years ago
A road is 3/5 of a mile long. A crew needs to repave 3/4 of the road. How long is the section that needs to be repaved? Write yo
storchak [24]

Answer:

9/20 mile

Step-by-step explanation:

Take (calculate) 3/4 of 3/5 mile:

3      3

---- * ---- = 9/20

 4     5

9/20 mile needs to be repaved.

6 0
3 years ago
A normal population has a mean of 19 and a standard deviation of 5.
dangina [55]

Answer:

a) Z = 1.2

b) 38.49% of the population is between 19 and 25.

c) 34.46% of the population is less than 17.

Step-by-step explanation:

Problems of normally distributed samples can be solved using 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}

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. If we need to find the probability that the measure is larger than X, it is 1 subtracted by this pvalue.

For this problem, we have that

A normal population has a mean of 19 and a standard deviation of 5, so \mu = 19, \sigma = 5.

(a) Compute the z value associated with 25

This is Z when X = 25

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

Z = \frac{25 - 19}{5}

Z = 1.2

(b) What proportion of the population is between 19 and 25?

This is the pvalue of Z when X = 25 subtracted by the pvalue of Z when X = 19.

X = 25 has Z = 1.2, that has a pvalue of 0.8849.

X = 19 has Z = 0, that has a pvalue of 0.5000.

So 0.8849-0.500 = 0.3849 = 38.49% of the population is between 19 and 25.

(c) What proportion of the population is less than 17?

This is the pvalue of Z when X = 17

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

Z = \frac{17 - 19}{5}

Z = -0.40

Z = -0.40 has a pvalue of 0.3446.

This means that 34.46% of the population is less than 17.

7 0
3 years ago
G (1) = 2.2 g(n) = g(n-1) * (-5) <br> Find an explicit formula for g(n)?
jenyasd209 [6]

Answer:

Step-by-step explanation:

g(2)=2.2*(-5)

g(3)=2.2*(-5)^2

........................

g(n)=2.2*(-5)^(n-1)

6 0
3 years ago
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Hey please help me answer this and explain your answer :) <br><br> Will give brainlst.
djyliett [7]

Answer:

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Step-by-step explanation:

3 0
3 years ago
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