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nata0808 [166]
3 years ago
8

Your car needs new brakes. You call a dealership and a local mechanic for prices. Cost of parts Labor cost per hour Dealership $

24 $99 Local mechanic $45 $89 a. After how many hours are the total costs the same at both places
Mathematics
1 answer:
laila [671]3 years ago
4 0

Answer:

The indifference point is 2.1 hours.

Step-by-step explanation:

<u>First, we need to calculate the total cost for each option:</u>

<u />

Dealership:

Total cost= 24 + 99x

Local mechanic:

Total cost= 45 + 89x

x= number of hours

<u>Now, we need to equal both formulas and isolate x:</u>

24 + 99x = 45 + 89x

10x = 21

x= 2.1

The indifference point is 2.1 hours.

<u>Prove:</u>

Total cost= 24 + 99*2.1= $231.9

Total cost= 45 + 89*2.1= $231.9

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si cada caja tiene 36 sobres y necesitas 6300. entonces tenemos que el numero de cajas = x

x = 6300 / 36

x = 175

boxes = 175

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At Hogwarts School of Witchcraft and Wizardry, Professor Snape was concerned about grade inflation, and suggested that the schoo
ExtremeBDS [4]

Answers:

The z scores are approximately:

  • Care of Magical Creatures:  z = 0.333
  • Defense Against the Dark Arts:  z = 0.583
  • Transfiguration:  z = -0.263
  • Potions: z = -0.533

From those scores, we can say:

  • Best grade = Defense Against the Dark Arts
  • Worst grade = Potions

=====================================================

Further Explanation:

We'll need to convert each given score to a corresponding standardized z score.

The formula to use is

z = (x - mu)/sigma

where,

  • x = given grade for each class
  • mu = mean
  • sigma = standard deviation

Let's find the z score for the Care of Magical Creatures class

z = (x - mu)/sigma

z = (3.80 - 3.75)/(0.15)

z = 0.333 approximately

Repeat this process for the Defense Against the Dark Arts score.

z = (x - mu)/sigma

z = (3.60 - 3.25)/(0.60)

z = 0.583 approximately

And for the Transfiguration class as well

z = (x - mu)/sigma

z = (3.10 - 3.20)/(0.38)

z = -0.263 approximately

The negative z score means his grade below the average, whereas earlier the other scores were above the average since he got positive z scores.

Now do the final class (Potions) to get this z score

z = (x - mu)/sigma

z = (2.50 - 2.90)/(0.75)

z = -0.533 approximately

This grade is below average as well.

----------------------------

To summarize, we have these z scores

  • Care of Magical Creatures:  z = 0.333
  • Defense Against the Dark Arts:  z = 0.583
  • Transfiguration:  z = -0.263
  • Potions: z = -0.533

Harry did his best in Defense Against the Dark Arts because the z score of 0.583 (approximate) is the largest of the four z scores. On the other hand, his worst grade is in Potions because -0.533 is the lowest z score.

3 0
1 year ago
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