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erastova [34]
1 year ago
5

a plumber charges $50 for every house call and an additional $70 for each hour of work for one house call yesterday the plumber

earned $435 which equation can be solved to find the number of hours the plumber word on the house call
Mathematics
1 answer:
sleet_krkn [62]1 year ago
4 0

Answer:

5.5 hours

Step-by-step explanation:

Since every house has an initial charge of $50, we can begin with that

($50)

Then, let's define h as the number of hours. We know every hour is $70, although the hours is yet unknown so that can be

($70 * h) or simply ($70h)

Now, we know the total should end up to be $435, so after PEMDAS the equation will be

($70h + $50 = $435).

We subtract 50 from both sides so now we have $70h = $385.

Now we divide both sides by 70, giving us h = 5.5. Hope it helped!

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The service time distribution describes the probability P that the service time of the customer will be no more than T hours. If
Molodets [167]

Answer: option d.

Step-by-step explanation:

You have the following formul given in the problem:

p=1-e^{-mt}

You know that:

The number of  customers serviced in an hour by the technical support representative is 6 costumbers, therefore:

m=6

As the problem asked for the probability that  a costumber will be on hold less than 30 minutes, we know that:

t=0.5

Substitute the values above into the formula.

Then, you obtain:

p=1-e^{-(6)(0.5)}=0.95 or 95%

7 0
2 years ago
For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 52
Ludmilka [50]

Answer:

the probability that a sample of the 35 exams will have a mean score of 518 or more is <em> 0.934 </em>or<em> 93.4%</em>.

Step-by-step explanation:

This is s z-test because we have been given a sample that is large   (greater than 30) and also a standard deviation. The z-test compares sample results and normal distributions. Therefore, the z-statistic is:

(520 - 518) / (180/√35)

= 0.0657

Therefore, the probability is:

P(X ≥ 0.0657) = 1 - P(X < 0.0657)

where

  • X is the value to be standardised

Thus,

P(X ≥ 0.0657) = 1 - (520 - 518) / (180/√35)

                       = 1 - 0.0657

                       = 0.934

Therefore,  the probability that a sample of the 35 exams will have a mean score of 518 or more is <em>0.934 or 93.4%</em>.

3 0
2 years ago
In the expression 4 (2m-n), determine which of the following best describes the role of (2m-n).
Dmitrij [34]

Answer:

A

Step-by-step explanation:

(2m-n) is a factor of 4(2m-n)

4 0
2 years ago
Now let the figure show a scale drawing of a park. The scale is 1 unit : 25 meters. What is the horizontal distance across the p
insens350 [35]

The question is missing the figure. So, the figure is attached below.

Answer:

C. 350 m

Step-by-step explanation:

Given:

Scale  is given as:

1 unit  : 25 meters

This means that 1 unit on the grid is equivalent to 25 meters in actual.

Now, from the figure, the horizontal distance across the park is 14 units.

1 unit = 25 meter

Now, we can find the actual distance using unitary method and thus multiplying 25 and 14 to get the actual distance across the park horizontally.

∴ 14 units = 25\times 14=350 meters.

Therefore, the horizontal distance across the park is 350 m in actual.

So, the correct option is option C.

7 0
2 years ago
4 and 5 are complements, and 1 and 5 are complements. By the congruent complements theorem, which angle is congruent to 4? 1 2 3
Zepler [3.9K]
The theorem tells you angles complementary to the same angle are congruent. Both 4 and 1 are complementary to 5, so 4 and 1 are congruent.

The angle congruent to 4 is 1.
8 0
2 years ago
Read 2 more answers
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