The life span of a graphing calculator manufactured by Texas Instruments has a normal distribution with a mean of 54 months and a standard deviation of 8 months. The company guarantees that any calculator that starts malfunctioning within 36 months of the purchase will be replaced by a new one. You apply the normal model and discover that this is approximately 1.22% of their graphing calculators. Texas Instruments has sold 75 million graphing calculators world- wide. How many of these would you expect to malfunction within 3 months (and thus need to be replaced)? Explain.

Answers

Answer 1

Answer:

The expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.

Step-by-step explanation:

Let X represents the number of graphing calculator that starts malfunctioning within 36 months of the purchase and needs to be replaced by a new one.

It is provided that X follows a normal distribution with a mean of 54 months and a standard deviation of 8 months.

Also, using the normal model it was determined that 1.22% of graphing calculator manufactured by Texas Instruments malfunctions and needs replacement.

That is,

P (X) = 0.0122

Texas Instruments has sold 75 million graphing calculators world- wide.

Compute the expected number of graphing calculators that malfunctions within 3 months and need to be replaced as follows:

E (X) = n × P (X)

        = 75 × 10⁶ × 0.0122

        = 915000

Thus, the expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.


Related Questions

Help this is due at 11:59

Answers

Answer:

A

Hope this helped ;)

Itssssssndjdnhfhfn a

How is 5 represented in 6.75

Answers

Answer:

5 is in the hundreths place :))

Step-by-step explanation:

Answer:

0.05

Step-by-step explanation:

since the place value of the five is beyond the decimal point, and it is the second number beyond the decimal point, so it is in the hundredths place.

. (2 points each) How many ways are there to choose a dozen (12) donuts from 18 varieties if(a) there are no two donuts of the same variety

Answers

Answer:

There are 455 ways

Step-by-step explanation:

Here, we want to find the number of ways to select 12 donuts out of 18 donuts given that all the donuts are different

Mathematically, that would be;

18 C 2

= 18!/(18-12)!12! = 18!/6!12! = 455

what is 32221 x444444444444

Answers

Answer: 1.43

Step-by-step explanation:

Answer:

1.432044444444301e+17

Step-by-step explanation:

To solve the problem -9 + 18 what is the first step?
a. KCO (keep change fli[p)
b. Subtract 18 - 9
c. Subtract 9 - 18
d. Add 9 + 18

Answers

Answer:

Step-by-step explanation:

5 1/5- 1 3/4 fractions

Answers

The answer to this equation is 3 45/100 or 3 9/20

Answer:

3 9/20

Step-by-step explanation:

first find a common demonator and change the denomators and what ever you did to the bottom you do to the top, then subtract them.

Which two numbers have a product of −18 and a sum of −7?

Answers

Answer:

2 and -9

Step-by-step explanation:

2 times -9 is -18

2 plus -9 is -7

Hope this helped!

PLEASE HELP PLEASE!!
Complete the following statement to estimate the root of 75 to the nearest tenth. Use numbers that are closest to the root of 75

Answers

the square root of 75 is 8.66, so it would be between 8 and 9


Store B sells a set for $27.00 and offers a 20% discount

Answers

Answer:

22.50

and you can pleasent do 22.50

Step-by-step explanation:

IMPLAYER
Every day after ser daily walk, Dena drinks 1.06 liters of water. Which decimal is equivalent to 1.06?
A 1.6
O
B. 1.600
C. 1.060
D. 1.006

Answers

Answer:

C. 1.060

Explanation:

r Which decimal is equivalent to 1.06? Well, if you look at it, c. 1.060 is just 1.06 with a zero added at the end... And we all know zeros have no value. So you can technically just take off the zero at the end and have 1.06. But this is a multiple-choice so you don't get to choose whether or not to take the zero off. So yeah, the answer is c.

Please mark brainliest!

Which is the slope of the line that passes through the points (4, 2) and
(6, 7)?

Answers

Answer:

2.5

Step-by-step explanation:

Use the formula y2-y1 divided by x2-x1

Plug in the values: (7-2)/(6-4)

5/2

=2.5

Find the equation of the line passing through the points (-2,-4) and (7,23)

Answers

Answer:

y=−5.4x

Step-by-step explanation:

Slope -5.4

Intercept -14.80

Pls Help :( 15 points

108 students went on a field trip. Three buses were filled and 27 students traveled in cars. How many students were in each bus?
Please include algebraic equation please.

Answers

Answer:

(108-27)/3 =27

Each bus has 27 students, because 108-27=81, 81/3=27

Step-by-step explanation:

Hope this helps! <3

Which of the following ordered pairs is a solution to the graph below


(0,-4)

(-2,-6)

(8,0)

(-2,0)

Answers

Answer:

(-2, -6)

Step-by-step explanation:

Graphed is the system of inequalities

The solution of the system is the darker shaded area

Only one of the given points falls to same area:

(-2, -6)
Answer

graphed is a system of inequality .the solution of the system is the darker shaded area .

the one of the given point falls to same area ;

=> (-2,-6)

The required answer is (-2,-6)

Can someone tell me what to write of how I found the answer please?

Answers

Answer:

-16.22

Step-by-step explanation:

You take both numbers and subtract normally because adding a negative number and a positive number is the same as subtracting them without the signs so you do 22.45-6.23 and you get 16.22 and then you just put the negative sign in front and you get 16.22.

Could I please have BRAINLIEST?

Help the pic is right here

Answers

Answer:

i think its C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

its just division tbh

Which statement describes the inverse of m(x) = x^2 – 17x?


a. The domain restriction x ≥ StartFraction 17 Over 2 EndFraction results in m–1(x) =StartFraction 17 Over 2 EndFraction minus StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot .


b. The domain restriction x ≥ StartFraction 17 Over 2 EndFraction results in m–1(x) =StartFraction 17 Over 2 EndFraction + StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot .


c. The domain restriction x ≥ Negative StartFraction 17 Over 2 EndFraction results in m–1(x) =StartFraction 17 Over 2 EndFraction minus StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot .


d.The domain restriction x ≥ Negative StartFraction 17 Over 2 EndFraction results in m–1(x) =StartFraction 17 Over 2 EndFraction + StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot .

Answers

Given:

The function is

[tex]m(x)=x^2-17x[/tex]

To find:

The inverse of the given function.

Solution:

We have,

[tex]m(x)=x^2-17x[/tex]

Substitute m(x)=y.

[tex]y=x^2-17x[/tex]

Interchange x and y.

[tex]x=y^2-17y[/tex]

Add square of half of coefficient of y , i.e., [tex]\left(\dfrac{-17}{2}\right)^2[/tex] on both sides,

[tex]x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2[/tex]

[tex]x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2[/tex]

[tex]x+\left(\dfrac{17}{2}\right)^2=\left(y-\dfrac{17}{2}\right)^2[/tex]        [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]

Taking square root on both sides.

[tex]\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}[/tex]

Add [tex]\dfrac{17}{2}[/tex] on both sides.

[tex]\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y[/tex]

Substitute [tex]y=m^{-1}(x)[/tex].

[tex]m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}[/tex]

We know that, negative term inside the root is not real number. So,

[tex]x+\left(\dfrac{17}{2}\right)^2\geq 0[/tex]

[tex]x\geq -\left(\dfrac{17}{2}\right)^2[/tex]

Therefore, the restricted domain is [tex]x\geq -\left(\dfrac{17}{2}\right)^2[/tex] and the inverse function is [tex]m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}[/tex].

Hence, option D is correct.

Note: In all the options square of [tex]\dfrac{17}{2}[/tex] is missing in restricted domain.

Answer:

C on edu

Step-by-step explanation:

What are the terms on the expression 2x-4y+8

Answers

the andwer is 2x and -4y

I don't understand this question can you help pls

Answers

Answer:

yes, it would change because the place value

The value of the third column is the hundredths

8. Fay Teng's expenditures for the past 3 months were: August,
$1,735.50; September, $1,829.42; and October, $1,793.88.
What is her average monthly expenditure?
9. You use the utility company's budget plan for paying your
home heating bills. You pay $75 a month for 9 months. Your
actual bills are: September, $28.95; October, $16.15; November,
$68.46; December, $109.34; January, $115.26; February. $94.19;
March $75.66; April, $51.97; and May, $49.16. Compute the
average for the 9 months.
ght The McGraw-e Companies, Inc. All rights

Answers

=$75.66 all in all and $67.99 dollars

Luca had a large container of yogurt with 1 and StartFraction 5 Over 8 EndFraction pounds of yogurt left in it. If a serving of yogurt is StartFraction 3 Over 8 EndFraction of a pound, to the nearest whole serving, how many servings of yogurt are in the container?

Answers

Answer:There are 4 serving in the container.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Took Edge 2020 Fraction Multiplication and Division Test

Undefined slope, (0,-8)

Answers

What are you asking for?

what is the best classification for angle 1 and angle 3?

Answers

I think it is B but I ain’t sure. Sorry

Answer:

C not adjacent because adjacent angles are right next to each other. And <1 and <3 are not right next to each other.

Step-by-step explanation:

They are not vertical angles this is what vertical angles look like ><

They are not adjacent or a linear pair.

So it is C.

HEY I NEED HELP ASAP!!!!!!!!!!!!!
this is the problem I need help with
n - 25/4 =3

Answers

Answer:

n = 37/4

Step-by-step explanation:

that's the answer to you question

Please look at the pic and help it got marked wrong

Answers

Answer:

although it is true that could be -(1/4)^4

if you multiply the answer can also be -1/256

Heya!!

your answer is!

-1/256

a bowl contains 4 yellow marbles, 5 red marbles, 1 blue marbles, and 3 green marbles. find the probabilityof the given outcome

Answers

Answer:

bowl of colorful marbels

Step-by-step explanation:

bowl+marbels

G
Which fraction is equivalent to 6?
12 / 2
3
2 2+1 3
7, because
6 6+17
mo
2 1 1 3
because 6 - 3 and
39
2 /
3
12
2 1
because =
6 3 and
2
nd 3 -
3
12
2 1
8.
because 6 2
2+1 3
6+28

Answers

Answer:

what is the question

Step-by-step explanation:

i don't understand what you're trying to say

Eight more than.twice an number is four less than the same number

Answers

Answer:

2x+8=x-4

Step-by-step explanation:

I think that's right, let me know if it's wrong and I'll delete

Round 143.596 to the nearest hundredth

Answers

Answer:

143.6

Step-by-step explanation: i swear its right

help me idk what it is​

Answers

the answer is the bottom one on the first row

it should be the top right answer.
4, 7, 8, 10, 11, 13, 15, 15, 22, 28 is the data set in order.
By finding the median, it would be 12, since 11+13=24/2=12
The first quartile would be 8, because between 4-11, 8 is in the middle
Then the third quartile would be 15, repeating the same process except with 13-28

So basically the answer is the top right choice. With a median of 12, first quartile 8, third quartile 15
Other Questions
Israel elects its leaders; therefore it has what type of government?O A. MonarchyO B. DemocracyO C. DictatorshipO D. CommunismPlz help :)) What is the difference between phi and theta? why was the purchase of Louisiana controversial A system of equations is shown:2x = -y + 6--4x + 3y = 8What is the solution to this system of equations?0 (-1,-4)O (1.4)(4, 1)(-4,-1) Which of the following is the basis of all slides in a presentation?O PlaceholdersO Slide MastersO ThemeO Variant 3 2/3 x 4 1/8 x 2 1/2 Plz help!What type of pledge could the narrator be referring to? Explain.'' Mrs. LeSane asked us to please stand, face the flag, place our right hands over our hearts, and say the Pledge of Allegiance. Children across the country do it faithfully. I wonder now when the country will face its children and say a pledge right back.'' Rob lost 24 lounds in 6 months of his diet, then lost 16 pounds in 2 months. Find his average weight lost. what is your definition of Science? Be sure to include the role of questions in your definition. Can anyone help me with this.. PLEASE HELP I DONT KNOW HOW TO DO THIS AND ITS DUE IN 30 MINUTEs More on Linear Equations & Linear Systems: Question 1How many solutions does the system of equations belowhave?y - 2x + 2y-r-1Select one:noneinfinitely manyO o o oonetwo Is (1,1) a solution to this system of inequalities How was the Fall of the ByzantineEmpire similar and different from thefall of the Roman Empire The handicaps all characters are forced to wear in HARRISON BERGERON only wind up making them stronger rather than weaker.true or false Nancy would like to configure an automatic response for all emails received while she is out of the office tomorrow, during business hours only. What should she do?Configure an automatic reply.Configure an automatic reply and select the Only send during this time range option.Configure an automatic reply for both internal and external senders.Configure an automatic reply rule. Ben has two carts with masses of 0.1 kg and 0.2 kg. He pushes the smaller cart toward the larger cart and they collide. The smaller cart rebounds back in the direction it came from. He measures the force on the smaller cart from the larger cart to be 5 N. What was the magnitude of the acceleration of the smaller cart? Jack follows the steps below.Step 1: He clicks the Design tab on the ribbon.Step 2: He navigates to the Document Formatting command group.Step 3: He clicks the Themes icon.Step 4: He clicks the Office Theme option in the themes gallery.Which task is Jack trying to do?A. He is sharing the Office theme with others.B. He is creating a new theme for his document.C. He is saving an existing theme to the themes gallery.D. He is applying an existing theme to his document. In response to the Stamp Act, Patrick Henry urged Virginias legislature toimpose its own tax.formally protest the act.formally approve the act.send representatives to Parliament.Plsss help have to finish this by tonight will give brainlist 7n - 8n - 323???????????? WILL GIVE 100 POINTS AFTER YOU ANSWERWhat is the median of this data set: 17, 13, 18, 20, 17, 15, 1220171916