The mean life of a television set is 138 months with a variance of 324. If a sample of 83 televisions is randomly selected, what is the probability that the sample mean would be less than 143.4 months

Answers

Answer 1

Answer: 0.9968

Step-by-step explanation:

Let [tex]\overline{X}[/tex] be the sample mean life of television.

Given: [tex]\mu=138,\ \ \ \sigma^2=324\Rightarrow\ \sigma=\sqrt{324}=18,\ \ \ , n=83[/tex]

The probability that the sample mean would be less than 143.4 months will be :

[tex]P(\overline{X}<143.4)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{143.4-138}{\dfrac{18}{\sqrt{83}}})\\\\=P(Z<2.733)=0.9969\ \ \ [\text{By p-value table}][/tex]

hence, the required probability = 0.9968


Related Questions

George desposit is as follows: Checks: $63.21, $37.79, and $15.50; cash: 24 one-dollar bills, 11 ten-dollar bills, 20 quarters, 22 dimes, and 40 pennies; less $20.00 as chas recevied. What is his total deposit?

Answers

Answer:

$258.10

Step-by-step explanation:

The graph of the function y=f(x) is shown below. What are the values of a,b,c, and d in the definition of f(x) below?

Answers

9514 1404 393

Answer:

  (a, b, c, d) = (2, -3, -2, 2)

Step-by-step explanation:

The horizontal segment where y=3 extends from x = -2 to x = 2. These are the values of c and d, respectively.

The slope of the left piece is up 2 for over 1, so is 2/1 = 2, the value of a.

The slope of the right piece is down 3 for over 1, so is -3/1 = -3, the value of b.

So, we have ...

a = 2b = -3c = -2d = 2

What is the place value of 7 in 0.724 rounded.

Answers

The place value of 7 in 0.724 = 7 tenths or 7/10 or 0.7

The place value of 2 in 0.724 = 2 hundredths or 2/100 or 0.02

The place value of 4 in 0.724 = 4 thousandths or 4/1000 or 0.004

Therefore , the place value of 7 in 0.724 is 7 tenths or 7/10 or 0.7 ( as all are the same ) .

multiple and divide signed numbers​

Answers

Answer:

the answer is 9

Step-by-step explanation:

The answer is 9 because 18\2 is 9

Ms. Ramirez is throwing a fundraising event to
raise money for new chromebooks for GWCP.
Ms. Ramirez is charging $35 an an entrance fee
and then additionally guest can buy raffle tickets
for prizes. Ms. Colsant comes to the event,
purchases 4 raffle tickets and spends a total of
$62. How much is Ms. Ramirez charging for raffle
tickets at the event?
Students, write your response!
Pear Deck interest

Answers

if you do $62 minus $35 it’s 27 and 27 divided by 4 is 6.75 so the raffle tickets are $6.75

-1/6 + -3/7 =
Please need answers ASAP and please explain how to do it as well thanks

Answers

Answer:

-25/42

Step-by-step explanation:

you need to make the denominators equal, so find a number that is divisible by both 6 and 7 (i chose 42 because it’s the first number that comes to mind) you then multiply the numerator by the same number.

so -1/6 is multiplied by 7 on top and bottom to become -7/42, and -3/7 is multiplied by 6 of top and bottom to become -18/42.

then you add them together and you get -25/42

if possible you would simplify but for this one it’s not :)

Answer:

Negative Twenty Five over Forty Two.

Step-by-step explanation:

Hey, It looks like you just have to add two fractions. i.e Negative One Sixth (-1/6) and Negative Three Seventh (-3/7).

First Step: Make the denomimators the same.

-1/6 will become -7/42

-3/7 will become -18/42

Second step: Add the two fractions.

-7/42 + -18/42 = -25/42

So there is your answer: -25/42

A school dance sold 2 types of tickets: one for freshman/sophomores (9th/10th graders), and one for juniors/seniors (11th/12th graders). The freshman/sophomore tickets cost $8, and the junior/senior tickets cost $6. They sold a combined total of 525 tickets, and earned a total of $4600. How many tickets of each type did the school sell? Write and show all algebra work; you cannot use graphing to solve this.

Answers

9514 1404 393

Answer:

freshman/sophomore: 725junior/senior: -200

Step-by-step explanation:

It is convenient to let a variable represent the number of the highest-price tickets sold. We'll use x for that. Then the number of lower-price tickets sold is 525 -x and the total revenue is ...

  8x +6(525 -x) = 4600

  2x = 1450 . . . . . . . . . . . . subtract 3150

  x = 725

  525 -x = -200

__

The school sold 725 freshman/sophomore tickets and -200 junior/senior tickets.

_____

Comment on the question

There is apparently an error in the question somewhere. The average revenue per ticket is ...

  $4600/525 ≈ $8.76

You cannot sell $6 and $8 tickets and earn more than $8 per ticket sold. (Average revenue must be between $6 and $8 per ticket.)

__

If we assume a typo in revenue, and that it should be $3600, then the sales will be 225 freshman tickets and 300 senior tickets.

Does anyone know the answer to the question ​

Answers

Answer:

The root of that equation are -1 -4 and 5

so the equation is (x -5) * (x +1) * (x +4)

(I may have that wrong and the answer MIGHT be:

(x -+5) * (x -1) * (x -4)

So, you have 2 answers and I KNOW 1 of those is correct.  :-)

Step-by-step explanation:

What is the distance, d, between the points (2,5/2) and (8/3,1)?

Enter your answer in the box. Enter your answer in simplest radical form.

Answers

Answer:

um 3 5/4

Step-by-step explanation:

The distance, d, between the points (2,5/2) and (8/3,1) will be; 1.6415 units.

What is the distance between two points ( p,q) and (x,y)?

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D = √[(x-p)² + (y-q)²]

So, we will use the distance formula:

Let (2, 5/2) be (x₁, y₁) and let (8/3, 1) be (x₂, y₂).

Now Substitute:

D = √[(1 - (5/2))² + (8/3 - 2)²]

Evaluate the expressions within the parentheses;

D = √[(1 - (5/2))² + (8/3 - 2)²]

D = √[(-3/2)² + (2/3)²]

Evaluate:

D = √[9/4 + 4/9]

Square:

D = √97/6

Hence, the distance, d, between the points (2,5/2) and (8/3,1) will be; 1.6415 units.

Learn more about distance between two points here:

brainly.com/question/16410393

#SPJ2

Jane Little rents a car for $39.00 a week. She pays $15.00 per week for the insurance, and spends $17.50 weekly on gas. What will her cost be per month (four weeks)?

Answers

Answer: Her cost will be $286 per month.

Step-by-step explanation: $39.00 times 4 is $156. $15.00 times 4 is $60. And $17.50 times 4 is $70. Adding all that together is $286

Answer:

$286.00

Step-by-step explanation:

First, you add 39.00 + 15.00 + 17.00 because that is for one week and you get $71.50 Then, you multiply 71.50 x 4 because there are 4 weeks in a month    and you get $286.00      Hope This Helps :)

A graph titled Calories in Strawberries. The x-axis shows the number of strawberries, numbered 1 to 9, and the y-axis shows the number of calories, numbered 3 to 27. A straight line with a positive slope begins at point (0, 0) and ends at point (6.8, 27). The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which statement is true? Each strawberry contains 4 calories. Each strawberry contains 3 calories. Twenty-four strawberries contain 6 calories. Four strawberries contain 15 calories

Answers

Answer:

the answer is  edge 2020  A

Step-by-step explanation:

each strawberry contains four calories

gaming legend

Answer:

Its A

Step-by-step explanation:

got it right on Edge

|2x+1| < 5
help please




Answers

Answer:

3

Step-by-step explanation:

Answer: x=2 and x=-3

Step-by-step explanation:

|2x+1|=5>|2x+1|=-5

2x+1=5 > 2x+1=-5

2x+1-1=5-1 > 2x+1-1=-5-1

2x=4 > 2x=-6

2x÷2=4÷2 > 2x÷2=-6÷2

x=2 > x=-3

The surface of each crystal has an area of
1,000,000,000
square meters. Write this number using a negative
exponent.

Answers

Answer:

10,000,000,000 × 10^-1, 1/1,000,000,000^-1

Step-by-step explanation:

Im not sure what you are asking

Each student in the fifth grade at Bonchon elementary bought 15 to the book fair they bought 1245 altogether how many fifth grade students go to Boston elementary

Answers

Answer:

83 fifth grade students

Step-by-step explanation:

the total amount was 1,245

they each bought 15

equation is 1,245/15=?

answer is 83

Answer:

3 students went to the book fair

Step-by-step explanation

Doing inverse operations so you do 1245 divided by 15 and that would be your answer.

divide 8/10 ÷ 1 5/6 and put it in its simplest form ​

Answers

Answer

24/55 as a fraction

The solution of the given equation is 24/55

What is Division method?

Division method is used to distributing a group of things into equal parts.

Given that;

The equation is,

8/10  ÷ 1 5/6

Now,

Solve the expression as;

= 8/10 ÷ 1 5/6

= 8/10  ÷ 11/6

= 8/10 x 6/11

= 48/110

= 24/55

So, The solution of the given equation is 24/55.

Learn more about the division visit:

https://brainly.com/question/28783040

#SPJ5

Javier rounded to the nearest half to estimate the product of 3 2/5 and -3 7/8. How do the estimate and the actual product compare Word problem

Answers

Answer:

Step-by-step explanation:

What is the answer to an addition problem called

Answers

the sum is what it is called

ANGLES IN TRIANGLES WORKSHEET

Answers

Answer:

x = 26

Step-by-step explanation:

90 + 52 + unknown angle = 180

142 + unknown angle = 180

unknown angle = 38

unknown angle + 116 + x = 180

38 + 116 + x = 180

154 + x = 180

x = 26

Step-by-step explanation:

Click here

Thanks guys :)

Mwhehe

t a certain vineyard it is found that each grape vine produces about 10 lb of grapes in a season when about 500 vines are planted per acre. For each additional vine that is planted, the production of each vine decreases by about 1 percent. So the number of pounds of grapes produced per acre is modeled by
A(n) = (500 + n)(10 − 0.01n)
where n is the number of additional vines planted. Find the number of vines that should be planted to maximize grape production.

Answers

Answer: Grape production is maximized for 150 vines planted

Step-by-step explanation:

whats 10 to the power of 9 as a decimal

Answers

Answer: 1,000,000,000

10⁹ cannot be written in decimal form.

Plz mark brainliest:)

Explain how you could use either multiplication or division to solve the same equation.

Answers

Answer:

Multiply By Decimal

Step-by-step explanation:

If you multiply a number by a decimal you get the same outcome that you would if you would have divided it

Denise spent $56.48 at the grocery store while Michael spent $74.06. How much more money did Michael spendthan Denise?A.$17.58B.$37.03C.$65.27D.$130.54

Answers

We will use the equation 74.06-56.48=? To find the change in prices, aka how much more money was spent. That equals 17.58. So A, Michael spent $17.58 more than Denise.

Answer:

A 17.58

Step-by-step explanation:

Need help with this problem and a step by step explanation

Answers

the answer b
(i can’t explain and if i did it would be confusing)
but here’s this:
the lower the number, the more to the right

if x=-3 is the only x-incercept of the graph of a quadratic equation which statement best describes the discrinant of the equation

Answers

Answer:

The discriminant must be zero.

Step-by-step explanation:

Quadratic Equation

The standard representation of a quadratic function is:

[tex]f(x)=ax^2+bx+c[/tex]

where a,b, and c are constants.

The zeros, roots, or x-intercepts can be found by solving the equation:

[tex]ax^2+bx+c=0[/tex]

We can use the quadratic formula to find the roots:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Note this formula gives us two different roots if the square root is non-zero.

The only way there can be only one x-intercept is because the square root is zero.

If the square root is zero, then

[tex]b^2-4ac =0[/tex]

The expression is called the discriminant.

Thus, if x=-3 is the only x-intercept of the graph of a quadratic function, then the discriminant must be zero.

What is the measurement of MJL ??

Answers

The measure for MJL is

72 degrees

Explanation
Since the angle measures up to 90 degrees and LJK measures up to 18 degrees. You just simply subtract 90-18 and you get 72 degrees

Perry is responsible for distributing soccer balls to the kids at soccer camp. During practice, Perry would like each group of 5 children to share two soccer balls. How many soccer balls does Perry need if 25 kids attend camp?

Answers

Q: Perry is responsible for distributing soccer balls to the kids at soccer camp. During practice, Perry would like each group of 5 children to share two soccer balls. How many soccer balls does Perry need if 25 kids attend camp?

A: 20 soccer balls

Hope this helped!

If you double 4 and if you double 1/2 then add 1, add 8 +1

Answers

Answer:

19?

Step-by-step explanation:

double of 4 is 8, double of 1/2 is 1 and adding them all together is 19

can sommeone please answer this

Answers

Answer:

x= 8

z= 116 degrees

Step-by-step explanation:

the two given angle measures are vertical angles so they are equal to each other, the equation is: 12x-32 = 11x-24

simplify this to get: x= 8

plug the value of x into either of the given equations, I will use the first one: 12(8) - 32

this means that the angle of one of them is 64

and since z and 12x-32 make a straight angle (180 degrees)

you can subtract 64 from 180 to find z

this gives you 180-64 = 116

I really need help with this ?

Answers

Answer:

H: 4 3/4

Step-by-step explanation:

You subtract Aaron's and Siri's ages together and you get 4 3/4

Solve the following quadratic equation by factorising: 15x^2 + 2x - 8 = 0​

Answers

x=-4/5 and x=2/3 that should be the right answer
Other Questions
What is the y-intercept of y = 2x + 5 Cuanto es [20+(10-15)+2]-[15+(7-10)(-2+5)] Hep:/ i am kidConvert the following binary numbers into quinary:11012 _____ were powerful organizations that used legal and illegal methods.A. political machines orB. progressives The last awsner choice is 3/21 thank u pls pls Ill give u brainliest The temperature at the beach at noon was 80 degrees F The temperature rose 10 degrees by 5pm then dropped by 15 degrees by 9pm. What is the temperature at 9pm? Order these in descending order (greatest to least). 3/20, 0.15%, 0.015 How does CRISPR/Cas9 relate to real life for people with Down Syndrome? PLEASE ANSWER IN COMPLETE SENTENCES!!!!!! AND ANSWER IN ONE PARAGRAPH, PLEASEEE!!!!! WILL GIVE BRAINLIEST FOR COMPLETE ANSWER!!! 15 + x3 24O A. X29O B. xs 39O C. x2 39D. X 9 Which of the following describes East Africa's trading system?A It was limited by natural barriers.B. It was international in scope.C. It encouraged the spread of Christianity.OD. It forced smaller kingdoms to decline. Hanna is building a fence. She will use the house for one side of the fence as shown in the scale drawing below What is the product How do ultrasound waves clean jewellery NEED HELP ASAP! 50 POINTS!The line with slope when m= -4/7 and (0,-11). Use point slope formula, y - yo =m (x - x0) What is the value of f1(4) In Lovers Infiniteness, the speaker wonders how he can have all his beloveds love, looking at a series of possible answers. How does the verb mood in lines 911 reflect this exploration?A. By using the subjunctive in line 9, the speaker indicates that the answer he is discussing is only hypotheticalit is not the case.B. By using the indicative in line 9, the speaker indicates that the answer he is discussing is only hypotheticalit is not the case.C. By using the subjunctive in line 9, the speaker indicates that the answer he is discussing is an established fact.D. By using the indicative in line 9, the speaker indicates that the answer he is discussing is an established fact. 14. Identify the type of reaction: Pb + 2 AgCl 2 Ag+ PbCl2a. Combination/synthesisb. Decompositionc. Double replacementd. Single replacement What Information Technology is Walt Thomas responsible for? CAN SOMEONE PLEASE HELP ME WITH THIS QUESTIONWrong or inproper answer will be reported who was the real founder of Georgia