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Masteriza [31]
2 years ago
9

A power company calculates a person's monthly bill from the number of kilowatt -hours ( Nh) , x, used . The function b(x)= 0.15x

,&x<=360\\ 0.10(x-360)+54,&x>360 determines the bill. How much is the bill for a person who uses 560 kWh in a month ? A. $84 B. $54 . $64 D. $74
Mathematics
1 answer:
Rashid [163]2 years ago
5 0

The bill for a person who uses 560 kWh in a month is (d) $74

<h3>How to determine the bill?</h3>

The function is given as:

  • b(x) = 0.15x;  x ≤ 360
  • b(x) = 0.10(x - 360) + 54;  x > 360

For a person who uses 560 kWh, it means that:

x > 360

So, we use the following function to determine the bill

b(x) = 0.10(x - 360) + 54

Substitute 560 for x

b(560) = 0.10(560 - 360) + 54

Evaluate

b(560) = 74

Hence, the bill for a person who uses 560 kWh in a month is (d) $74

Read more about piecewise functions at:

brainly.com/question/18859540

#SPJ1

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poizon [28]

6(x + y) + (x - y)

<em>use distributive property</em>

= 6x + 6y + x - y

<em>combine like terms</em>

= (6x + x) + (6y - y)

<h3>= 7x + 6y</h3>
8 0
3 years ago
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Which of these two expressions represent the phrase "five plus two times a number"? A. 5n+2n and 2n+5n B. 5+2n and 2+5n C. 2n+5
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Answer:

It would be D because you are timing 2 by a number which would have n together

Hope this helped

3 0
3 years ago
A researcher compares two compounds (1 and 2) used in the manufacture of car tires that are designed to reduce braking distances
wariber [46]

Answer:

Step-by-step explanation:

Hello!

The objective of this experiment is to compare two compounds, designed to reduce braking distance, used in tire manufacturing to prove if the braking distance of SUV's equipped with tires made with compound 1 is shorter than the braking distance of SUV's equipped with tires made with compound 2.

So you have 2 independent populations, SUV's equipped with tires made using compound 1 and SUV's equipped with tires made using compound 2.

Two samples of 81 braking tests are made and the braking distance was measured each time, the study variables are determined as:

X₁: Braking distance of an SUV equipped with tires made with compound one.

Its sample mean is X[bar]₁= 69 feet

And the Standard deviation S₁= 10.4 feet

X₂: Braking distance of an SUV equipped with tires made with compound two.

Its sample mean is X[bar]₂= 71 feet

And the Standard deviation S₂= 7.6 feet

We don't have any information on the distribution of the study variables, nor the sample data to test it, but since both sample sizes are large enough n₁ and n₂ ≥ 30 we can apply the central limit theorem and approximate the distribution of both variables sample means to normal.

The researcher's hypothesis, as mentioned before, is that the braking distance using compound one is less than the distance obtained using compound 2, symbolically: μ₁ < μ₂

The statistical hypotheses are:

H₀: μ₁ ≥ μ₂

H₁: μ₁ < μ₂

α: 0.05

The statistic to use to compare these two populations is a pooled Z test

Z= \frac{(X[bar]_1-X[bar]_2)-(Mu_1-Mu_2)}{\sqrt{\frac{S^2_1}{n_1} +\frac{S^2_2}{n_2} } }

Z ≈ N(0;1)

Z_{H_0}= \frac{69-71-0}{\sqrt{\frac{108.16}{81} +\frac{57.76}{81} } }= -1.397

The rejection region if this hypothesis test is one-tailed to the right, so you'll reject the null hypothesis to small values of the statistic. The critical value for this test is:

Z_{\alpha  } = Z_{0.05}= -1.648

Decision rule:

If Z_{H_0} > -1.648 , then you do not reject the null hypothesis.

If Z_{H_0} ≤ -1.648 , then you reject the null hypothesis.

Since the statistic value is greater than the critical value, the decision is to not reject the null hypothesis.

At a 5% significance level, you can conclude that the average braking distance of SUV's equipped with tires manufactured used compound 1 is greater than the average braking distance of SUV's equipped with tires manufactured used compound 2.

I hope you have a SUPER day!

4 0
3 years ago
My sis needs help asap
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Answer:

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Step-by-step explanation:

first you make the demoninators the same so 3*4=12

and if you *3 you do it to the numerator

so its 9/12-5/12

the unsimplified fraction is 4/12

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kaheart [24]

Answer:

51

Step-by-step explanation:

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