The lifetime of a certain type of battery is normally distributed with mean value 13 hours and standard deviation 1 hour. There are nine batteries in a package. What lifetime value (in hours) is such that the total lifetime of all batteries in a package exceeds that value for only 5% of all packages

Answers

Answer 1

The lifetime of the batteries in a package is 14.31 hours which exceeds that value for only 5% of all packages.

Give sample mean of 13 hours and standard deviation of 1 hour and sample size is 9.

We have to apply t test in this because the value of n which is sample size is less than 30.

We have been given the p value of the required mean so we have to find the t value for this with degree of freedom (9-1)=8

t value=2.306.

We know that

t=X bar-μ/s/[tex]\sqrt{n}[/tex]

s/[tex]\sqrt{n}[/tex]=1/[tex]\sqrt{3}[/tex]=0.57

Put all the values in the above formula to calculate required mean.

2.306=X bar-13/0.57

X bar=1.31442+13

=14.31442

after rounding off we get

X bar=14.31

Hence the lifetime of the batteries is 14.31 for which  the percentage exceeds 5%.

Learn more about t test at https://brainly.com/question/6589776

#SPJ4


Related Questions

what's the answer for 1/2 of 3/5?

Answers

Answer:

3/10

Step-by-step explanation:

can someone please help me??

Answers

Answer:

There is only one solution and it is the point of intersection

Step-by-step explanation:

if p is the smallest of four integers, what is their sum interms of P​

Answers

Answer:

If  p  is the smallest of  n  consecutive integers of the same sign than we have  p ,  p+1 ,  p+2 ,  … ,  p+(n−1) ,

So the sum is

∑k=0n−1(p+k)=∑k=0n−1p+∑k=0n−1k=np+n2−n2  

Here  n=4  

So we have  4p+6  

And checking

p+(p+1)+(p+2)+(p+3)=4p+6  

Note if  p=−v  

Than you have the same thing as if  p=v−n+1  just negative for example  3  consecutive integers the smallest is  −5  so the sum is  −5+(−4)+(−3)=3×−5+32−32=−15+3=−12  

On the other hand:

−(3+4+5)=−(3×3+32−32)=−(9+3)=−12  

If  p=−v  the sum of next  v+1  integers is  −(∑k=0vk)=−(v2+v2)  

Than needs an other  v  integers to bring it up to  0  again. From there it is

∑k=0hk=h2+h2  

Where  h=n−(2v+1) .

So recap if  p  is the smallest of  n  consecutive integers their sum is

p+(p+1)+(p+2)+…+(p+(n−1))=⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪np+n2+n2−(n|p|+n2+n2)((n−|p|)2+(n−|p|)2)−(|p|p+|p|2+|p|2)((n−|p|)2+(n−|p|)2)n≥0p<0∧n<|p|+1p<0∧|p|<n<2|p|+1p<0∧n>2|p|+1

Step-by-step explanation:

find the missing measure

Answers

Answer:

Step-by-step explanation:

A = 5x^2+3xy-7y^2 B = -x^2+2xy+8y^2 B, minus, A, equals
I WILL GIVE BRAINLYIST!!!!!!!!!!! Help!!!!!

Answers

Answer: -6x^2-xy+15y^2

Step-by-step explanation:

The value of B-A is -6x²-xy+15y² .

What is an Equation ?

A statement where the algebraic expressions are equated with an equal sign with each other is called an Equation.

It is given that

A = 5x²+3xy-7y²

B = -x²+2xy+8y²

To calculate is B - A

B- A = ²   (-x²+2xy+8y²) - (5x²+3xy-7y² )

B-A = -x²+2xy+8y² - 5x²- 3xy +7y²

B-A = -6x²-xy+15y²

Therefore the value of B-A is -6x²-xy+15y² .

To know more about Equation

https://brainly.com/question/10413253

#SPJ2

The standard form of y = 5(x + 4)(x + 5) is

Answers

Answer:

mark me as brainliest plz

Answer:

21 is Correct answer hope you will like it

the graph of y=-3x+2, state the domain and the range

Answers

Answer:

Domain: (-∞,∞)

Range: (-∞, ∞)

Hope this helps.

A typical person takes about 24000 breaths each day. Write an equation you can use to find the number of breaths a typical person takes each minute.​

Answers

Step-by-step explanation:

Welp if a typical person takes 24000 breaths each day that's means

24000÷24=1000

so that's means 1000 per hour

if a hour take 60 Min that's mean

1000÷60=16.6666667 don't tell me I'm not sure about this answer and not really good at this :p

39°
.(91-x9)
What solves for x

Answers

Multiple times 9 + 5 or more of a few other things that I don’t know what you do with this game

Use algebra tiles to find the difference. Let one yellow tile equal +1 and one red tile equal –1. 12 – (–9)

Answers

Answer:

21

Step-by-step explanation:

12 - (-9)

Open The bracket :

Recall: - * - = +

Hence,

12 + 9 = 21

one hundred twenty-three and thirty hundreths. in decimal form

Answers

Answer:

0.2330

Step-by-step explanation:

When a point is reflected across a line of reflection, it remains the same distance from the line.True or False

Answers

Answer:

True

Step-by-step explanation:

To answer this question, I will use the following illustrations.

Assume a point (x,y) is reflected across the x-axis.

Using reflection rule, the new point will be: (x,-y)

On a coordinate plane, the x-axis is represented as: (x,0)

So, we will calculate the distance between (x,y) and (x,0) and also calculate the distance between (x,-y) and (x,0) using the following distance formula.

[tex]D= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Distance between (x,y) and (x,0)

[tex]D= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

[tex]D= \sqrt{(x - x)^2 + (0 - y)^2}[/tex]

[tex]D= \sqrt{(0)^2 + (- y)^2}[/tex]

[tex]D= \sqrt{0 + y^2}[/tex]

[tex]D= \sqrt{y^2}[/tex]

[tex]D = y[/tex]

Distance between (x,-y) and (x,0)

[tex]D= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

[tex]D= \sqrt{(x - x)^2 + (0 - (-y))^2}[/tex]

[tex]D= \sqrt{(0)^2 + (0+y)^2}[/tex]

[tex]D= \sqrt{0 + y^2}[/tex]

[tex]D= \sqrt{y^2}[/tex]

[tex]D = y[/tex]

See that the calculated distance are equal.

Hence, the given statement is true

Kim got to the store at 11:19 in the morning. She spent 24 minuets in the store how many minuets after she got to the store and left?

Answers

Answer:

11:43 am

Step-by-step explanation:

Given data

Time of arrival= 11:19 am

We are told that she spent 24 minutes in the store

Based on this, we can estimate the time she left the store

The time she left

=11:19+ 24

=11:43 am

Hence she left 11:43 am

what is the slope of this line? -2x + 3y =-6

Answers

Answer:

Slope: 2/3

Step-by-step explanation:

You have to first write the equation into slope-intercept form...

y = mx + b

So...

-2x + 3y = -6

becomes...

3y = 2x - 6

y = 2/3x - 2

Which means...

2/3 is the slope

Hope this help :)

Let me know if there are any mistakes!!

help me please i have no idea what i’m doing

Answers

Answer:

1. 5

2. 5/3

3. 4.5

4. 21

5. 10

6. (-12

7. (-1.5

The greatest common factor(GCF) of LaTeX: x^7,\:x^3,\:x^5\:is\:_{ }__________.

Answers

Answer:

x^3

Step-by-step explanation:

We are to find the greatest common factor of x^7, x^3 and x^5

x^7 = x^3 * x^4

x^3 = x^3 * 1

x^5 = x^3 * x^2

From both factors, we cam see that x^3 is common to the three, hence the GCF is x^3

I NEED HELP PLEASE. I WILL GIVE BRAINLIST IF RIGHT!

Answers

Answer:

Shift f up by 1 unit

Step-by-step explanation:

The email address lol

Calculate the unit price of the following item:
Chocolate chip cookies cost $2.79 per package and
there are 30 cookies inside. What is the price per
cookie? *

Answers

10 lol that’s the answer.

what is the equivalent Ratios to 18:15

Answers

Answer:

6:5 in simplest form

Step-by-step explanation:

Answer:

6:5

Step-by-step explanation:

The greatest common factor, and only shared factor is 3. Use three and divide on both sides to get 6 and 5

Can someone help me in this math problem? It’s a picture of the problem if you can!

Answers

Good job you got this

find the side of the square whose perimeter 20 m

Answers

20/4=5 square has 4 equal parts

An arithmetic sequence has second term 28 and the fifth term 52. (3 marks) a. Find u1 and d. b. Find u10

Answers

Answer: See explanation

Step-by-step explanation:

Second term = a + d = 28 ....... i

Fifth term = a + 4d = 52 ......... ii

Subtract equation I from ii

3d = 24

d = 24/3 = 8

d = common difference = 8

Since a + d = 28

a + 8 = 28

a = 28 - 8 = 20

First term = a = 20

u10 = a + (n-1)d

= a + (10-1)8

= 20 + (9 × 8)

= 20 + 72

= 92

PLEASE HELP ME WITH THIS I HATE SCHOOL

Answers

Answer:

B.)[tex]\sqrt{245}[/tex]

Step-by-step explanation:

[tex]\sqrt{245}[/tex]=15.65

7[tex]\sqrt{5}[/tex]=15.65

Hope this helps! :)

Answer:

its is B

Step-by-step explanation:

I just put 7/5 and put the answers below in my calculator and got whatever went with the answer when I put 7/5 (I dont have the square root sign)

A cake recipe calls for 2 1/4 cups of flour. Mrs Allen measured 3/4 cup of whole wheat flour and plans to use bleached flour for the remainder. How much bleached flour should she use?

Answers

Answer:

she should use 1 2/4 cups of bleached flour

11x + x = 60
full answer pls

Answers

Answer:

Step-by-step explanation:

Nathan Reynolds bought a car for $15,000. He made a down payment of $3,000. Nathan secured a loan for the balance of the purchase price at 8 percent interest for four years.
determine the monthly payment and total interest

Answers

Answer:

1) The monthly payment is approximately $292.96

2) The total interest is approximately $2,061.84

Step-by-step explanation:

1) The financing method Nathan Reynolds applied to buy the car is given as follows;

The purchase price of the car = $15,000

The down payment made for the car = $3,000

The

The interest on the loan he took for the balance of the purchase price, R = 8%

The number of years for which he took the loan, n = 4 years = 48 months

We have;

The balance of the purchase price = (The purchase price of the car) - (The down payment made for the car)

∴ The balance of the purchase price = $15,000 - $3,000 = $12,000

The balance of the purchase price = $12,000 = The loan Nathan secured

The monthly payment on a loan is given by the following formula

[tex]A = P \times \dfrac{r \cdot (1 + r)^n}{(1 + r)^n - 1}[/tex]

Where;

A = The payment amount made  monthly

P = The principal or loan amount = $12,000

r = The interest rate divided by 12 = R/12 = 8/12 = 2/3

n = The number of months the monthly payment will be made = 48 months

By plugging in the variable values, we get;

[tex]A = 12,000 \times \dfrac{\dfrac{2}{300} \times \left (1 + \dfrac{2}{300} \right ) ^{48}}{ \left (1 + \dfrac{2}{300} \right )^{48} - 1} = 292.955068099 \approx 292.96[/tex]

Therefore, the payment amount made  monthly, A ≈ $292.96

2) The total payment made in the 48 months = A × 48 = 292.955068099 × 48 ≈ 14,061.84

The total payment made in the 48 months ≈ $14,061.84

The total interest = (The total payment made in the 48 months) - (The loan amount)

∴ The total interest = $14,061.84 - $12,000 ≈ $2,061.84

50 points for this helpppp plzz

Answers

Answer:

ok

Step-by-step explanation:

Answer:

srry I needed the points hope u don\t mind

Step-by-step explanation:

Which equation represents how much it would cost for any number of rides? * 1 point r = 1.50c c = r - 1.50 r = 1.50 + c c = 1.50r

Answers

C=1.50r would be the correct answer

Since Beth was born, the population of her town has increased at a rate of 850 people per year. On Beth's 9th birthday, the total population was nearly 307,650, Write and solve a linear equation to find the population on Beth's 16th birthday.


I only need the equation pls help

Edit: the equation needs to be in slope intercept form

Answers

Answer:

editor edit

37,650

Step-by-step explanation:

37650

7.1 as a percentage

Answers

Answer:

its 710%

Step-by-step explanation:

710% hope it helps!

Other Questions
1. It is a set of integrated devices that input, output,process, and store data and information.a. Computer hardwareb. Computer softwarec. Computer systemd. Computer program PLEASE HELP ANSWERS ONLY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I reallyy need help on this! If you can help please do I need answers in a few minutes! Thank you! :) Whats professional bodies What was true of missionaries who did work in African like that done by the African Methodist episcopal Zion church Why was Osama bin Laden able to create a terrorist organization? Please Help 100 Points The neurotransmitter thought to be involved in learning and memory isx acetylcholine.norepinephrine.glutamate.glycineGABA Write an expression in terms of x that represents the distance (in feet) between Deandre and Paige. 2. The third section of the article argues that students should not pay to play sports. Based on this section, how might fees to play sports affect students who know they might sit on thebench? During the golden period, many Arab people moved to fertile land, present-day __________ to make a living. Iraq b. Iran c. Israel 4Jared has a collection of 90 movies on DVD. If46 of the movies are comedies, 26 are drama,and the rest are science fiction, what percent ofthe movies are science fiction?A) 18B) 20C) 28D) 32 What is the solution to the inequality?n - 15 > -5pls help a. The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, $5,050 is collected. Create an equation in standard form using the variables x and y to represent the scenario. Do not use commas or units (such as $) in your equation.b. If 1,000 adults attended the fair, how many children attended? Include the correct unit in your answer Match each sentence part to the question is answers Brainliest to whoever gets it right: Apply the appropriate mathematical operation to solve this occupation related problem.Labor rate: $8.75 per hour.Hours worked: 16Total price of services: $224Overhead rate: % Help please :((((((((( Help me please!!!!!!!!!!!! find x or solve for x . (4x+7) (4x-7)= give the solution pleasee