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]  


Related Questions

Mike and Larry are friends who share the same birthday.They decided to have a birthday party together and their friends. Mike received 21 gifts while Larry received 12 gifts. What is the ratio of gifts for Mike to Larry ​

Answers

Answer:

21:12

Step-by-step explanation:

Answer:

7:4

Step-by-step explanation:

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

4/-7 + -6/5

In simplest form​

Answers

See attachment for math work and answer.

14. Craig jogs 12 km in 1 h. If he jogs at the
same rate, how long will it take him to jog
18 km?

Answers

Answer: 1:30 (one hour and thirty minutes)

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:

1.5 hours

Step-by-step explanation:

12/1 = 18/x

X = 18/12 = 1.5 hours

Ian purchased cans of soda for a party he was having. For every 12 cans of soda she payed $4.98. What is the cost per can of soda?



The cost of each can of soda is $
i need this quik and now

Answers

$.40

Step-by-step explanation:

if you want the full one it's .415

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Answers

Answer:

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Step-by-step explanation:

I think answer to this question is -28

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20% of Taddes’s salary is lost away and only 100 birr is left. Find his full salary.

Answers

Answer:

125 birr

Step-by-step explanation:

80%=100

1%=1.25

100%=125

-3(f - 8) = 39
Distributive Property
Brainly

Answers

-3(f - 8) = 39
Distribute
-3f + 24 = 39
-24 on both sides
-3f = 15
/-3 on both sides
f = -5

Answer:
f = -5
Distributive Property

Four friends all use $10 off coupons to buy themselves concert tickets.
They spend a total of $216. What is the price of one concert ticket without
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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

To find how much they would have spent without the coupons, add 40 to 216:

216 + 40

= 256

To find the normal cost of one ticket, divide this by 4:

256/4

= 64

So, the price of one concert ticket without the coupon is $64

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.

1. Which trail do you think would be more difficult to hike up?

2. Explain your answer to question

Answers

1. A would be more difficult to hike up.

2. Because it has more miles than B does and the elevation is lowers

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

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

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

(4+3c^5)(4-3c^5) combine like terms

Answers

Answer:

16 − 9 c ^10

Step-by-step explanation:

Simplify the expression.

Answer:

-9c^10+16

Step-by-step explanation:

(4+3c^5)(4-3c^5)  multiply

(16 -12c^5+12c^5-9c^10) combine and rewrite

-9c^10+16

Humans shed about three million particles of skin every five hours. Humans can shed about fifty thousand particles of skin every five minutes. 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 __

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

Then 3 million = 3 x 1 million

[tex]= 3 \times1,000,000[/tex]

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

[tex]=3\times10^6[/tex]

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

So, 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 .

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.

Which statement is true about the transformation?

Answers

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.

What should you add to this problem?
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A) 0x^4
B) 0x^2
C) 0x^3
D) 0x

Answers

I’m gonna guess and say B

A glacier is moving at a rate of 0.3 inches every hour. The table below represents this relationship.

Glacial Movement
Distance Moved (inches)
Time
(hours)
0.3
1
0.6
2
0.9
3
x
4

What value of x completes the table?

Answers

Answer:1.2

Step-by-step explanation:

Answer:

1.2 Inches, It moves 0.3 inches in 1 hour so if in 1 hour it moves 0.3 and in 2 0.6 and in 3 0.9 so in 4 hours it will move 1.2 inches

Step-by-step explanation:

A scientist studied bacteria.
She placed 4 bacteria in a dish.
The population of bacteria triples every 12 hours
Which equation can be used to determine the number of bacteria, y, present after x days?
O y = 4(3)x
O y=4(6)x
O y = 4(3) 2x
O y = 4(6) 2x

Answers

Answer:

the answer to the question is A

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

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:

y = 4(3)²ˣ

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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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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4th of January: U

1st of December: D

8th of February: Y

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Answer:

Child  this has to be one the most hard riddles I ever did

Step-by-step explanation:

Ms. Howard wrote a test. Part A had true/false questions, each worth points. Part B had multiple choice questions, each worth points. She made the number of points for Part A equal the number of points for Part B. It was the least number of points for which this was possible.

Answers

Full question attached

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Answers

Answer:

See picture below.

Explanation

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Answers

Answer:

6=x

Step-by-step explanation:

y= 18; y= 3x

18=3x

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6=x

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

Total bill of four pairs of shoes came to $69.25 what is the average price for each pair of shoes

Answers

Answer:

Each pair is $17.31 average

Step-by-step explanation:

All you do is divide $69.25 by 4

Answer:17 or 18....17.31 that's what it gave me but if you rounded to the nearest number that could be your answer

Step-by-step explanation:

Price reduced
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 '%'.

Given that the price of the car with 25% price reduced is  £14625.

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

for that we will find the price of car to 100 - 25 = 75 percentage.

Let P be the price of the car before it was reduced.

P × 75 / 100 = 14625

P = 14625 × 100 / 75

P = £19500

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

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3 consecutive even integers that add up to 36

Answers

Answer:

10, 12, 14

Step-by-step explanation:

Answer:

10,12 and 14

Step-by-step explanation:

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which one is a function???

Answers

Answer: C

i hope this helps

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2)which order pears cause this relations not to be a function. why?​

Answers

Answer:

First Question is B

Second Question is C

Step-by-step explanation:

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

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Answers

Answer - 11

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