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Lapatulllka [165]
3 years ago
8

From long experience, it is known that the time it takes to do an oil change and lubrication job on a vehicle has a normal distr

ibution with a mean of 17.8 minutes and a standard deviation of 5.2 minutes. An auto service shop will give a free lube and oil change service to any customer who must wait beyond the guaranteed time to complete the work. If the shop does not want to give more than 1% of its customers a free lube and oil change service, how long should the guarantee be
Mathematics
1 answer:
djyliett [7]3 years ago
8 0

Answer: 29.916 minutes

Step-by-step explanation:

Given the following :

Mean of distribution = 17.8 minutes

Standard deviation of distribution = 5.2 minutes

Percentage of customers to give free lube and oil change service should not exceed 1% if the customer waits beyond the guaranteed time ;

Length of guarantee :

Since % of customers should not exceed 1%

Then probability of not being chosen = (1 - 0.01) = 0.99

Using the z table to find the Zscore of 0.99,

Zscore of 0.99 = 2.33

This is 2.33 standard deviations above the mean

(2.33 × standard deviation) + mean value

(2.33 × 5.2 minutes) + 17.8 minutes

12.116 + 17.8

= 29.916 minutes

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Olivia picked some peaches from her tree. She weighed each of the peaches. The results are shown in the line plot. What is the t
Strike441 [17]

Answer:

Hello,

the above question requires more information for anyone to be able to answer.

In the abscence of that, the total weight of the two heaviest peaches can be obtained by simply summing the individual weights of the two heaviest peaches.

If for instance there are 13 peaches and the two heaviest peaches weight 5Kg and 5.5 kg respectively, the weight of the two would translate to the following:

Step-by-step explanation:

5 +5.5= 10.5Kg

Cheers!

4 0
2 years ago
Cross multiply to get answer<br> x + 5/10 = 2x-3/15
Andreyy89

Once cross multiplied you end up with this:

15x+75=20x−30

Next subtract 20x from both sides.

15x+75−20x=20x−30−20x

−5x+75=−30 -----------> Answer

Now subtract 75 from both sides

−5x+75−75=−30−75

−5x=−105

Now divide by -5 on both sides.

-5/-5x = -105/-5

<h3 /><h3>x = 21 --------------> ANSWER</h3>
3 0
2 years ago
A student factors 3x2 – 12 to the following.
Nesterboy [21]

Answer:  The Expression is Equivalent, However, NOT completely factored.

Step-by-step explanation:

3x^2     -     12  

Following:

3 ( x^2    -    4   )

Factor:

3x^2   -  12

Factor Out Common Term 3:

3 ( x^2    -  4  )  =  3 (x^2  -  4 )

Factor:

x^2  -  4

( x  +   2 )  ( x   -  2 )

Answer:

3 ( x  +  2) ( x  -  2)

Hence, The Expression is Equivalent, However,  Wasn't Completely Factored.

Hope that helps!

8 0
3 years ago
Read 2 more answers
Jess will plant up to 27 acres on her farm with wheat and corn. More than 5 acres will be planted with wheat.
Lena [83]
The first thing we do in these cases is to define the variables.
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two inequalities that represent this situation are:
 
w + c <= 27
 
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8 0
3 years ago
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What number can be added to 1.38 to get zero?
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-1.38. Say thank you, UR WELCome
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