The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000 miles and a standard deviation of 1600 miles. What warranty should the company use if they want 94% of the tires to outlast the warranty?

Answers

Answer 1

Answer:

The warranty the company should use is of 57,520 mile.

Step-by-step explanation:

Let X denote the tread life of a particular brand of tire.

It is provided that,  [tex]X\sim N(60,000, 1600^{2})[/tex].

Also provided that the company wants 94% of the tires to outlast the warranty.

Let x denote the warranty .

That is, P (X > x) = 0.94.

⇒ P (X < x) = 0.06

⇒ P (Z < z) = 0.06

The corresponding value of z is -1.55.

*Use a z-table.

Compute the value of x as follows:

[tex]z=\frac{X-\mu}{\sigma}\\\\-1.55=\frac{x-60000}{1600}\\\\x=60000-(1.55\times 1600)\\\\x=57520[/tex]

Thus, the warranty the company should use is of 57,520 mile.


Related Questions

When you divide 7.7 by 700, how many decimal places will the quotient have?

Answers

The answer would be 0.011 so there would be three decimal places

you have a bill of $100. find a 10% tip?​

Answers

Answer:

10 bucks

Step-by-step explanation:

Answer:

$10

Step-by-step explanation:

10%=0.1

100*0.1=10

$10

Find the value of n. 103 × n = 630 The value of n is .

Answers

Answer:

The answer would be n=6.11

Step-by-step explanation:

The answer would be n=6.125

It is asking for the value of a variable, in this case, the variable is "n" and it can be found by isolating it on one side of the equation using basic mathematical operations such as division, multiplication, addition and subtraction. The question is asking to find the value of n, by solving the equation 103*n = 630.

To find the value of n, we can divide both sides of the equation by 103.

103 * n = 630

n = 630/103

n = 6.125

Therefore, The value of n is 6.125

Learn more about Algebraic Equations at

https://brainly.com/question/4344214

select the correct answer(click the photo)

Answers

Answer:

B.

General Formulas and Concepts:

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define function

f(x) = 8x + 4

Step 2: Prep

Rewrite:                         y = 8x + 4Swap x and y:               x = 8y + 4

Step 3: Find Inverse (Solve for y)

Subtract 4 on both sides:                    x - 4 = 8yDivide both sides by 8:                       (x - 4)/8 = yRewrite:                                                 y = (x - 4)/8Rewrite:                                                f⁻¹(x) = (x - 4)/8

Triangle abc is isosceles. Measure of angle a=3x+40, Measure angle c=x+50. Measure of angle a = degrees​

Answers

Answer: the answer is 55°

Step-by-step explanation:

You equal the equations out and the number you get from doing that is the fill in for x and the you solve one of the equations replacing x with the number gotten

In the past month, Boris rented 5 video games and I DVD. The rental price for each video game was $3.30. The rental price for the DVD was $4.70. What is the
total amount that Boris spent on video game and DVD rentals in the past. First person to answer correctly will be marked as brainliest ;)

Answers

Answer:

$21.2

Step-by-step explanation:

3.30*5+4.70*1=21.2

John wants to make a triangular garden. Which of the following are possible dimensions?

Answers

Answer: What are the choices? sorry I had to take up an answer, it wont let me exit out

A bakery baked 16 pies in preparation for Thanksgiving. 3/4 of the pies were already sold. How many pies have been sold?

Answers

Answer:

12

Step-by-step explanation:

We have to find 3/4 th of 16

So it's 3/4 * 16 = 12

I WILL MARK BRAINIEST

Answers

Answer:

x=20

4=140

1=40

Step-by-step explanation:

7x=2×+100

5×=100

×=20

4=7(20)=140

1=180-140=40

Answer:

x=20

m<4=140

m<1=40

Step-by-step explanation:

to figure out angle 1 just subtract 140 from 180

the table below shows different possibilites for the number of games a team would need to win to maintain a certain percentage of wins

Answers

Answer:

here hope this helps please mark brainly

Step-by-step explanation:

PLS ANWSER QUICK TIMED ASSIGNMENT

Which equation represents a circle with a center at (2,-8) and a radius of 11

(x-8)^2+(y+2)^2=11
(x-2)^2+(y+8)^2=121
(x+2)^2+(y-8)^2=11
(x+8)^2+(y-2)^2=121​

Answers

The second one, because when you square the right side of the equation you get 11 which is your radius. On the right side you get 2,-8 when you solve for the radius. aka solve for x and y

Hi! I just need somebody to explain how this is done.
I don’t understand the process of this well and I cant find many videos that explain it. thanks!

Answers

Answer:

Exact form: x = [tex]\frac{10.8}{sin(57)}[/tex]

Rounded to the Nearest Tenth: x = 12.9

Step-by-step explanation:

In the right-angled triangle, we can use the trigonometry functions to find the length of a side or a measure of an angle

In the given figure

∵ ∠C is the right angle

ΔACB is a right triangle

m∠B = 57°

AC = 10.8

∵ AC is the opposite side of ∠B

∵ AB is opposite to the right angle

∴ AB is the hypotenuse

AB = x

→ We can use the function sine to find x

∵ sin∠B = [tex]\frac{opposite}{hypotenuse}[/tex]

∴ sin∠B = [tex]\frac{AC}{AB}[/tex]

→ Substitute the values of ∠B, AC, and AB in the rule of sine above

∴ sin(57°) = [tex]\frac{10.8}{x}[/tex]

→ By using cross multiplication

∵ x × sin(57°) = 10.8

→ Divide both sides by sin(57°)

x = [tex]\frac{10.8}{sin(57)}[/tex]

x = 12.87752356

→ Round your answer to the nearest tenth

x = 12.9

Exact form: x = [tex]\frac{10.8}{sin(57)}[/tex]

Rounded to the Nearest Tenth: x = 12.9

$24,000 for new Honda, 2.75% interest rate for 4 years. What is the monthly payment? ( Explanation needed)

Answers

2.75/100=0.0275
= 24000 x ( 1 + 0.0275 ) ^ 4= 26750.91
26750.91 - 24000 = 2750.90
i’m sorry if it’s wrong

Answer:

(Use the attached formula)

24,000 for 4 years (48 months) at 2.75% interest

We divide rate by 1,200 which equals 0.0022916667

Monthly Payment = 0.0022916667 + {(0.0022916667 / [(1.0022916667)^48 -1]} * 24,000

Monthly Payment = 0.0022916667 + (0.0022916667 /  (1.1161375981  -1) * 24,000

Monthly Payment = [0.0022916667 + (0.0022916667 /  0.1161375981 ] * 24,000

Monthly Payment = [0.0022916667 +  0.0197323411 ] *24,000

Monthly Payment = 0.0220240078  * 24,000

Monthly Payment = 528.5761872  = 528.58 (rounded)

Step-by-step explanation:

What is the equation?

Answers

Answer: y= 2x + 2

Step-by-step explanation:

Yeah she is correct

This is my question it is in the screen shot please help me.

Answers

4 in = 10.2 cm
7kg = 15.4 lbs
6 gal = 22.7 L
66 ft = 19.8 m

Solve the equation -11<-x+2<3

Answers

Answer:

13 > x > -1

Step-by-step explanation:

-11 < -x + 2 < 3

~Subtract 2 both sides

-13 < -x < 1

~Divide -1 to both sides

13 > x > -1

Best of Luck!

What is a number greater than 260 that rounds to 260

Answers

Answer:

263 (if u round to the nearest tens)

Step-by-step explanation:

Answer:

261, 262, 263, 264

Step-by-step explanation:

They are all higher and if you go to 5+ you round up.

2:5 =4: ?
Answer

Explain

Answers

2:5 = 4:10 because 4:10 is twice the ratio of 2:5. 2x2 is 4 and 5x2 is 10.

What is the length to XY? Enter only the number as an integer or decimal.

Answers

Answer:

11.25

Step-by-step explanation:

it is a dialation of 2.25:

12 x 2.25 = 27

and

8 x 2.25 = 18

so...

5 x 2.25 =

11.25

For every 2 hours, approximately $1,689 worth of product is sold to consumers. How much money will the company for an entire month (30 days)?

Answers

1,01340 cuase 1,689 times 2 equal 3,378 and times 30 equal 101340

The answer is approximately 608040

Reason: for ever 2 hours its 1689 so times that by 12 to make 24 hours for a day and times that by 30

can someone please help just for a sec and help me with these questions. -7x = -91 and
0.5x + 1.75 = 10 and last one is
0.75h + 3 = 12

Answers

Answer:

13, 16.5, 12

Step-by-step explanation:

-7x= -91 divide both sides by -7 to isolate x

[tex]\frac{-7}{-7} x=\frac{-91}{-7}[/tex] any number divided by itself like in -7/-7 =1

x=13

0.5x + 1.75 = 10 subtract 1.75 from both sides

0.5x +1.75-1.75 =10 -1.75

0.5x = 8.25 divide by 0.5 both sides

[tex]\frac{0.5}{0.5} x=\frac{8.25}{0.5}[/tex]

x=16.5

0.75h +3=12 subtract 3 from both sides

0.75h = 12-3 divide both sides by 0.75

[tex]h= \frac{9}{0.75}[/tex] = 12

Whar is the square root of 9604?

Answers

Answer:

98

Step-by-step explanation:

the square root of 9604 is 98 which lie between 97 and 99

Calculate the average speed of a train that
completed a 525 km trip in 4.7 h. Round
your answer to the nearest whole number.

Answers

Answer:

4

Step-by-step explanation:

Ty takes 1 hour to read 35 pages, 2 hours to read 70 pages, and 3 hours to read 105 pages.

Answers

Answer: There are 210 pages that ty read in 6 hours.

Step-by-step explanation:

Alina wants to make some yummy sugar cookies today!
The recipe written in her book is:
2 3/4 cup flour + 1 cup butter + 1 1/2 cup sugar + 1 egg + 1 tsp baking soda + 1/2 tsp baking powder = 24 cookies
But Alina has the following ingredients in her kitchen: 9 cups flour, 5 cups butter, 4.5 cups sugar, 8 eggs and a excess of baking soda and powder.
1. How many cookies can she make?
2. Which ingredient is her limiting reactant?
3. Besides, baking soda and powder, how many of each reactant will be left over in her kitchen?​

Answers

Answer:

3.2

Step-by-step explanation:

help please I’m struggling badly because Im bad at math

Answers

Answer:

40º

Step-by-step explanation:

if u look at the triangle it would show you

Answer:

40 degrees

Step-by-step explanation:

since JKM is congruent to PQR then,

Q is congruent to K so they have the same measure.

Suppose that the amount of time teenagers spend weekly working at part-time jobs is normally distributed with a standard deviation of 40 minutes. A random sample of 15 teenagers was drawn, and each reported the amount of time spent at part-time jobs (in minutes). These are listed here. Determine the 95% confidence interval estimate of the population mean.

Answers

Complete Question

Suppose that the amount of time teenagers spend weekly working at part-time jobs is normally distributed with a standard deviation of 40 minutes. A random sample of 15 teenagers was drawn and each reported the amount of the time spent at part-time jobs (in minutes). These are listed here 180, 130, 150, 165, 90, 130, 120, 60, 200, 180, 80, 240, 210, 150, 125. Determine the 95% confidence interval estimate of the population mean.

Answer:

The 95% confidence interval is  [tex] 127.09  <  \mu <  167.57 [/tex]

Step-by-step explanation:

From the question we are told that

   The standard deviation is  [tex]\sigma = 40[/tex]

   The sample size is  n  = 15

     The data given is   180, 130, 150, 165, 90, 130, 120, 60, 200, 180, 80, 240, 210, 150, 125

Generally the sample mean is mathematically represented as

             [tex]\= x = \frac{ \sum x_i}{n }[/tex]

=>          [tex]\= x = \frac{ 130 + 150 + \cdots + 125 }{ 15 }[/tex]

=>          [tex]\= x = 147.33[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>     [tex]E = 1.96  *  \frac{40}{\sqrt{15} }[/tex]

=>     [tex]E =20.24 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex] 147.33 -20.24<  \mu <  147.33 + 20.24 [/tex]

      [tex] 127.09  <  \mu <  167.57 [/tex]

   

HELP PLZZZ i need it plz

Answers

Pretty messy but hope it helps

What is the constant proportionality in the table below?

Answers

Answer:

1/2

Step-by-step explanation:

Y is half as large as x. I cant see the options but I know that 10/2=5, 6/2=3 and so on so i would go with 1/2

What is the scale factor for the dilation of triangle ABC to produce triangle A’B’C’?
0.25, 0.5, 2, 3

What is the scale factor for the dilation of triangle ABC to produce triangle A’’B’’C’’?
0.25, 0.5, 2, 3

Answers

Answer:

.5 for the first blank

2 for the second blank

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