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JulijaS [17]
3 years ago
11

​Ramona's Garage charges the following labor rates. All customers are charged for at least 0.5 hr.

Mathematics
1 answer:
algol133 years ago
3 0

Answer:

a. The linear function is given by,

y = 60x + 30  [y is in $ and x is in hour and x ≥ 0.5]

  = 60 [for x < 0.5]

b. The total cost of the repair job is,  $ 675 .

Step-by-step explanation:

Let, the linear function describing garage charge( y in $) and no. of hours of repair job ( x in hour) be,

y = mx + c    [for x ≥ 0.5]  -----------(1)

where, m is the slope of the line and c is the y intercept.

Now ,

m = \frac {90 - 60}{1 - 0.5}

  = 60  ----------------(2)

Now, putting the value of m and the point (x,y) = (0.5, 60) in (1), we get,

60 = 60 \times 0.5 + c $

⇒ c = 30 ----------------- (3)  

Hence, the linear function is given by,

y = 60x + 30  [y is in $ and x is in hour and x ≥ 0.5] ------------(4)

  = 60 [for x < 0.5]

Now, putting

x = 4 hr 15 min

= 4\dfrac {15}{60} hour

= 4.25 hour in (4), we get,

y = 60 \times 4.25 + 30  [in $]

= $ 285

So, the total cost of the repair job,

= $ (285 + 390)

= $ 675

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Answer:

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Step-by-step explanation:

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A) First, we find the z-score for 60 minutes, so we get:

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So now we look for the z-score on our normal distribution table. Be careful with the table you are using since some tables will find areas other than the area between the mean and the desired data. The table I used finds the area between the mean and the value to normalize.

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Now that we got this area we subtract it from the area we found for the 60 minutes, so we get:

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so there is a probability of P=28.57% of chances that the students will finish the test between 60 and 75 minutes.

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z=\frac{90-80}{10}=1

We look for this z-score on our table and we get that:

A=0.3413

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