Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of 26 months before certain electronic components deteriorate, causing the watch to become unreliable. The standard deviation of watch lifetimes is 4 months, and the distribution of lifetimes is normal. A button hyperlink to the SALT program that reads: Use SALT. (a) If Accrotime guarantees a full refund on any defective watch for 2 years after purchase, what percentage of total production will the company expect to replace? (Round your answer to two decimal places.) Incorrect: Your answer is incorrect. % (b) If Accrotime does not want to make refunds on more than 6% of the watches it makes, how long should the guarantee period be (to the nearest month)? months

Answers

Answer 1

Answer:

a

   [tex]P(X <  24 )=  21.186\%  [/tex]  

b

    [tex]x =  19.78 \  months[/tex]

Step-by-step explanation:

From the question we are told that

 The mean is   [tex]\mu  =  26 \  months[/tex]

 The standard deviation is  [tex]\sigma  =  4 \  months[/tex]

 Generally 2 year is  equal to  24 months

Generally the percentage of total production will the company expect to replace is mathematically represented as

      [tex]P(X <  24 )=  P(\frac{X - \mu }{ \sigma} <  \frac{24 - 26}{4}  )[/tex]

Generally  [tex]\frac{X - \mu}{\sigma } =Z (The  \ standardized \  value  \  of  \  X )[/tex]

     [tex]P(X <  24 )=  P(Z <  -0.8  )[/tex]

Generally from the z-table  

       [tex]P(Z <  -0.8) =  0.21186[/tex]

So

       [tex]P(X <  24 )=  0.21186[/tex]

Converting to percentage

      [tex]P(X <  24 )=  0.21186  * 100[/tex]

=>    [tex]P(X <  24 )=  21.186\%  [/tex]  

Generally the duration that should be the guarantee period if  Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

    [tex]P(X <  x) =  P(\frac{X - \mu }{\sigma}  < \frac{x - 26}{4} )= 0.06[/tex]

=> [tex]P(X <  x) =  P(Z < \frac{x - 26}{4} )= 0.06[/tex]

From the normal distribution table the z-score for  0.06 at the lower tail  is

       [tex]z = -1.555[/tex]

So

    [tex]\frac{x - 26}{4} = -1.555[/tex]

=> [tex]x =  19.78 \  months[/tex]  


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Answer:

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Step-by-step explanation:

Simplify the expression.

Answer:

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Step-by-step explanation:

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25% off
Now £14 625
Work out the price of the car before it was reduced.

Answers

Step-by-step explanation:

let x be the original.price

so x * 75/100= 14625

x=19500

so the price of car before it was reduced was 19500

The price of the car before it was reduced is £19500.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

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Now to find the price of the car before it was reduced,

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RiDdLE oF ThE DaY: PaRt 2- Mr.White had been missing and the only evidence he left behind was a paper that said "The first of July, the fourth of January, the first of December and the eighth of February" the police questioned the people that were in the house at that time. Judy said she was at her parents house, Logan was Mr.Whites secretary said he was working on a report for his boss and haven't left his room and Rose, Mr. Whites daughter said she was having guest and never left the living room. Can you crack the case?

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Answer:

Step-by-step explanation:

1st of July: J

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1st of December: D

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

because u simplify 21:12 and u would get 7:4

Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of \$65$65dollar sign, 65 along with an hourly rate of \$28$28dollar sign, 28. The plumber only charges for a whole number of hours. Anand would like to spend no more than \$250$250dollar sign, 250, and he wonders how many hours of work he can afford. Let HHH represent the whole number of hours that the plumber works.

Answers

Answer:

Anand can afford is 6hours

Step-by-step explanation:

 Let H represent the whole number of hours that the plumber works.

given that the fixed cost is $65

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also given that Anand has a total of $250 with him

the total cost can be expressed in terms of the number of hours H as

250=65+28H

we can now solve for H

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divide both sides by 28

H=185/28

H=6.60714285714

"The plumber only charges for a whole number of hours."

So the number of hours Anand can afford is 6hours

Answer:

Anand can afford is 6hours

Step-by-step explanation:

Let H represent the whole number of hours that the plumber works.

given that the fixed cost is $65

and the hourly cost is $28

also given that Anand has a total of $250 with him

the total cost can be expressed in terms of the number of hours H as

250=65+28H

we can now solve for H

250-65=28H

185=28H

divide both sides by 28

H=185/28

H=6.60714285714

"The plumber only charges for a whole number of hours."

So the number of hours Anand can afford is 6hours

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See attachment for math work and answer.

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An

Step-by-step explanation:

Answer:

Step-by-step explanation:

Which statement is true about the transformation? It is isometric because not all side lengths and angle measures remained the same. It is isometric because all side lengths and angle measures remained the same. It is not isometric because not all side lengths and angle measures remained the same.

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

$64

Step-by-step explanation:

Since there were 4 of them and the coupons were $10 off, they saved a total of $40

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216 + 40

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Answers

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Step-by-step explanation:

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Answer:

See picture below.

Explanation

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Answers

Full question attached

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Answers

Answer: C

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O y = 4(3)x
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O y = 4(6) 2x

Answers

Answer:

the answer to the question is A

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What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Scientists placed 4 bacteria in a dish. The population of bacteria triples every 12 hours. Therefore, the equation that can be used to determine the number of bacteria, y, present after x days are:

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Hence, The equation can be used to determine the number of bacteria, y, present after x days is y = 4(3)²ˣ.

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Answers

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Step-by-step explanation:

Answer:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

If he jogs 12 km in an hour, and he wants to jog 18 km, you divide 12 km from when he jogged for and hour by 2 and get 6. Add 12 km to 6 km, and get 18 km in one hour and thirty minutes. So, basically 6 km every 30 minutes.

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

if you want the full one it's .415

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Step-by-step explanation:

y=3x y=18 solve for x

Answers

Answer:

6=x

Step-by-step explanation:

y= 18; y= 3x

18=3x

18/3 = 3x/3

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Hope this helps!

X=6 because if you are trying to get the answer to 18 then you would do 18=3x and 18 decided by 3 is 6. And 6*3=18

Beth has to choose which trail to hike. Trail A is 3 miles long, all uphill, with an elevation change of 900 feet. Trail B is 1 mile long, also uphill, with an elevation change of 700 feet.

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2. Explain your answer to question

Answers

1. A would be more difficult to hike up.

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Answers

Answer: The approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is 6 .

Step-by-step explanation:

Given: Humans shed about 3million particles of skin every 5 hours.

Since, 1 million = 1,000,000

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[tex]= 3,000,000[/tex]

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On comparing to [tex]a\times 10^{b}[/tex] , we get a = 3 and b=6

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Answer:

6

Step-by-step explanation:

First, write the approximate number of particles of skin a human can shed in five hours in scientific notation. This number is three million which can be written in the form a × 10b, where a is 3 and b is 6.

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Answers

I’m gonna guess and say B

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Answers

Answer:

First Question is B

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Step-by-step explanation:

You can’t have the same x values going to different y values

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