Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 135 millimeters, and a variance of 64. If a random sample of 32 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 3.6 millimeters? Round your answer to four decimal places.

Answers

Answer 1

Answer:

0.3264

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where

x is the raw score,

μ is the population mean,

σ is the population standard deviation.

(x-μ) = 3.6 mm

σ = √variance = √64 = 8mm

z = 3.6/8

z = 0.45

Using the Probability table

P(x<Z) = 0.67364

P(x>Z) = 1 - P(x<Z)

1 - 0.67364

= 0.32636

Approximately = 0.3264


Related Questions

Sam deposits $1,000 in his savings account which will earn 2.5% interest. How much interest will Sam have earned after 2 years? *

Answers

Answer: $50, The account will have $50 in interest after 2 years.

Step-by-step explanation:

2.5% / 100 = 0.025

$1,000 * .025 = 25

25 * 2 = 50

A robot can complete 7 tasks in 2/3 hour. Each task takes the same amount of time. How long does it take the robot to complete one task? How many tasks can the robot complete in one hour?

Answers

Answer:

a. is 2/21 hours to complete one task

b. is 10 1/2 tasks in one hour

Robot takes 2/21 hour to complete the task.

In one hour, robot complete 21/2 task.

What is ratio?

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Time taken to complete 7 tasks = 2/3 hours.

To find the time taken to complete one task and tasks that completed in one hour,

Use ratio method,

7 tasks take = 2/3 hours

1 task takes = 2/(3 x 7) = 2 / 21 hours.

In 2/3 hours = 7 tasks completed,

1 hour = 21/2 tasks.

In one hour, 21/2 tasks can be completed.

To know more about Ratio on:

https://brainly.com/question/23724140

#SPJ5

K^2+k=0 what does k=

Answers

Answer:

k = K^2

Step-by-step explanation:

Subtract  K^2 from both sides of the equation.

8(3x-2)-8x=9(2x-6) find x

Answers

if i’m solving it correctly x = 4

Answer:

x=19

Step-by-step explanation:

8(3x-2)-8x=9(2x-6) Distribute.

24x-16-8x=18x-54   Combine like terms.

16x-16=18x-54         Subtract 16x from both sides (getting rid of a variable first  

-16x     -16x               is easier).

-16=2x-54                 Add 54 to both sides.

+54    +54

38=2x                       Divide both sides by 2.

/2   /2

19=x

Hope this helps!! Have a great day ^^

A pizza delivery company classifies its customers by gender and location of residence. The research department has gathered data from a random sample of 1664 customers. The data is summarized in the table below.
Gender and Residence of Customers
Males Females
Apartment 206 149
Dorm 295 276
With Parent(s) 55 68
Sorority/Fraternity House 132 204
Other 180 99
What is the probability that a customer is female and lives in a dorm or is female and lives in 'Other'? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answers

Answer: 0.2254

Step-by-step explanation:

Let E= Event of getting of female lives in a dorm.

F = Event of getting of female lives in a 'Other'.

From the table , n(E) = 276  and n(F) = 99

and n(E∩F) = 0  [E and F are Mutually exclusive]

Now, n(E∪F)=  n(E) + n(F) - n(E∩F)

= 276+99-0

= 375

also, n(S) =1664       (Sample size)

Required probability : [tex]P(E\cup F)=\dfrac{n(E\cup F)}{n(S)}[/tex]

[tex]=\dfrac{375}{1664}\approx0.2254[/tex]

Hence, the  probability that a customer is female and lives in a dorm or is female and lives in 'Other' = 0.2254

(-82)+(-47)-(+33)do u all know this answer

Answers

Answer:

-157

Step-by-step explanation:

Answer:  -162

Hope this helps you

Step-by-step explanation:

subtract and add

Hi i need help on letters:

L,A,E,R,T,C,I,S,F,G,H,D,N,and O

Im giving 14 points if u answer all of them!!;)

Answers

Answer:

Step-by-step explanation:

E = 10:15 C = 4:5 F = 1:10 D = 1:2 R = 1:3 I = 30: 80 G = 16:48  N = 20: 40

A = 2:1 T = 6:10 S= 9:12 H = 9 O = 1: 11

(wouldve explained them but im in class :)

Unit 4: Lesson 9: Parallel and Perpendicular Lines Unit Test Parallel and Perpendicular Lines does anyone have the answers for this 13 question test ??

Answers

What test is this question from?

Answer:

I need these answers and the ones he put in in the comments are all wrong

What are some good things to remember when you
draw a diagram of a ratio?

Answers

Answer:

the order in which the ratio is drawn should be the same as listed.

Explanation:

What this means is that since a ratio compares the sizes of two numbers (eg 4:2 or 4 ratios 2 or [tex]\frac{4}{2}[/tex]), it would be wrong to change the order of a ratio when drawn in a diagram.

For example,  changing the order to (2:4 or 2 ratios 4), which then  because [tex]\frac{2}{4}[/tex] not [tex]\frac{4}{2}[/tex]. Hence, it is important to remember that diagram of the ratio of two or more quantities should be the same as listed.

GIVING 30 POINTS

need it RN


Which equation represents a line which is perpendicular to the line
5x + 4y = -24?

Answers

5x +4y=24 I believe would be the answer
M^perpendicular = -4/5

3/4of 16/27/23/14+12/18 using bodmas rule

Answers

Your answer :------

3/4 of 16/27+23/14+12/18
=4/9+23/14+12/18
= (56+207+84)/126
= 347/126 = 2.75 approx ans.

If it helps you mark me as brainlist

Thanks

Do you want to be in your basement bright orange for your birthday party the orange paint shade you like uses three parts red and 5 parts yellow How Many cups would you need for one gallon of paint ( there are 16 cups in one gallon)

Answers

You need 6 cups red and 10 cups yellow.

Participants in a psychology expirement

were able to memorize an average of M Words in

T minutes, where M is -0.00lt3 and T is 0.1t2 Find the

average

number of words memorized in 10min.

Answers

Answer:

11 words

Step-by-step explanation:

The question is poorly formatted.

The right relationship between M and t is given as:

M = −0.001t³ + 0.1t²

Required

Solve for M when t = 10

To do this, substitute 10 for t

So,we have:

M = −0.001t³ + 0.1t²

M = -0.001 * 10³ + 0.1 * 10²

M = -0.001 * 1000 + 0.1 *100

M = 1 + 10

M = 11

11 words in 10 minutes

If n is an odd number, then its remainder is 1 when I divide it by 2.

17 is an odd number. What conclusion can be made?

Answers

Answer: Its remainder is 1 when you divide 17 by 2.

In other words, 17/2 = 8 remainder 1.

The 8 is the quotient.

The reason why we know we get a remainder 1 is because the condition of "if n is an odd number" and here n = 17 is odd. So the first condition is met allowing us to use the full "if, then" statement given to us.

California lowest point of elevation is -86 meters. Louisiana lowest point of elevation is 83.6 meters higher than California low point. What is the lowest point of elevation in Louisiana

Answers

Answer:

-2.4 meters

Step-by-step explanation:

-86 + 83.6 = -2.4

-2.4 meters is the answer because California has a lowest point of -86 meters and Louisiana has a lowest point of 83.6 meters.

The formula for the area A of a triangle is A=(1/2)bh, where b is the length of the base and h is the height. Rearrange the formula to solve for b and select the correct option below (A) b=A/(2h) (B) b=2Ah (C) b=(1/2)Ah (D) b=2A/h

Answers

Answer:

[tex]b=\dfrac{2A}{h}[/tex]

Step-by-step explanation:

The formula for the area of a triangle is given by :

[tex]A=\dfrac{1}{2}bh[/tex] ...(1)

Where b is the length of the base and h is the height.

We need to find the value of b from the above formula.

Cross multiplying equation (1) we get :

[tex]2A=bh[/tex]

Now dividing both sides by h. So,

[tex]\dfrac{2A}{h}=\dfrac{bh}{h}\\\\b=\dfrac{2A}{h}[/tex]

So, the correct option is (D) i.e. [tex]\dfrac{2A}{h}[/tex].

Can you guys help me find the supplements for question 6

Answers

Answer:

d

Step-by-step explanation:

i looked it up

0.079times what equals 7.9

Answers

Answer:

100

Step-by-step explanation:


6th grade math I mark as brainliest

Answers

Answer:

D: A rhombus is always a parallelogram

Step-by-step explanation:

A rhombus is a quadrilateral, and it is also a parallelogram. However, a parallelogram is not always a rhombus.

Answer:

A rhombus is always a parallelogram

Step-by-step explanation:

it's lines parallel to the other side

PLSSSSS HELPPP I WILLL GIVEEE BRAINLIEST!!!!!!!!

Answers

the answer for x is x= y/4 + 3

Answer:

x = y/ 4  + 3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helps :)

what is the slope of the line that passes through (37, -9) and (36, 81)

Answers

Answer:

m= -90 is your answer

Step-by-step explanation:

For future reference, you should try using Symbolab, it works really well and I use it ALL the time!

A human gene carries a certain disease from the mother to the child with a probability rate of 39%. That is, there is a 39% chance that the child becomes infected with the disease. Suppose a female carrier of the gene has four children. Assume that the infections of the four children are independent of one another. Find the probability that all four of the children get the disease from their mother. Round to the nearest thousandth.

Answers

Answer:

[tex]Probability = 0.023[/tex]

Step-by-step explanation:

Given

Represent the given probability with P(Gene)

[tex]P(Gene) = 39\%[/tex]

[tex]Children = 4[/tex]

Since all 4 children get the disease, the required probability is calculated as thus:

[tex]Probability = P(Gene)^4[/tex]

[tex]Probability = 39\%^4[/tex]

Convert % to decimal

[tex]Probability = 0.39^4[/tex]

[tex]Probability = 0.02313441[/tex]

[tex]Probability = 0.023[/tex] Approximated

Nancy has 192 golf balls.
How many dozen golf balls does she have?

Answers

Answer:

16

Step-by-step explanation:

192/12=16

hope this helps :3

if it did pls mark brainliest

Answer:16

192/12 equals 16

MATCH THE CORRECT ONE PLEASE HELP

Answers

Answer:

same side interior for 2 and 6 i think

YES WHAT THE OTHER PERSON SAID SORRY CAPS LOCK IS STUCK

a positive real number is 2 more than another. if the sum of the squares of the two numbers is 14, find the numbers​

Answers

9514 1404 393

Answer:

√6 -1 ≈ 1.44949√6 +1 ≈ 3.44949

Step-by-step explanation:

Let x represent the smaller number. Then the sum of squares is ...

  x² +(x+2)² = 14

  2x² +4x +4 = 14 . . . eliminate parentheses

  2x² +4x -10 = 0 . . . put in standard form

  x² +2x -5 = 0 . . . . . divide by 2 (because we can)

  (x +1)² -6 = 0 . . . . . complete the square

  x +1 = √6  . . .   we want the positive root

  x = -1 +√6

  x+2 = 1 +√6

The numbers are √6±1.

Translate the given phrase into an algebraic expression and simplify if possible: the product of −4 and 16

Answers

Answer: -4 x 16, -48

Step-by-step explanation:

word phrase: -4 x 16

symplified = -48

product means multiply

Helpppppp ASAP!!!!!!!

Answers

Answer: No solution.

Answer:

x=2

Step-by-step explanation:

The triangular arrangement of numbers shown is known as Pascal's triangle. Use inductive reasoning to find the 6 missing numbers.

Answers

Answer:

1 5 10 10 5 1

Step-by-step explanation:

The complete question has been attached as an image.

Looking at the triangle, we see a pattern. The first level we have 1, in the next level we have 1 1, the next evel we have 1 2 1, the next level we have 1 3 3 1 and so on. From here, we see that to get the numbers of the next level, we have to write 1 as the first number, then add 1 to the next number after it in the previous level to get the second number in the next level then add the second number of the previous level to the next number beside it to get the third number in the next level and so on until you get to the last number before 1 in the previous level, add that number to 1 to get the second to the last number in the next level and finally put 1 as the last number in the next level. Now, we have

1 4 6 4 1

1 5 10 10 5 1

And that is the required set of numbers.

6th grade math i mark as brainly​

Answers

Th correct answers are A, D, then F

Answer:

A, D and F are the answers because for the 1st question, 64.7 is the bigger number, for the second 65 is the biggest and for the last 65 is the largest number.

PLEASE PLEASE HELP ME I WILL GIVE BRAINLIEST

options box one:
graph a
Graph B

Options for box two:
1. appears to decrease more
2. Is less
3. Decreases less
4. Appears to decrease less
5. Decreases more

Answers

Answer:

1) graph b

2)appears to decrease more

Step-by-step explanation:

Other Questions
6. A cat walks 1.5km South and then 2.4km East. What is the total displacement of the cat?7. A boy scout troop hikes 10.0 km East and then hikes an additional 7km North. What is the total displacement of the boy scout troop? 8. A go-kart is moving 23 m/s on the track. The track is 152m long. How long will take for the go-kart to reach the end of the track? 9. If a snail moves at a pace of .01m/s and it travels for 1 hr. How far does the snail get?10. It takes 3 hr and 10 min to ride the tram to the top of Pikes Peak in Colorado. The tram will travel a total distance of 14.32 km. What is the speed of the tram? Which unit rate corresponded to the proportional relationship shown in the graph? 1) Why does polysubstitution frequently occur with Friedel-Crafts alkylation but not with Friedel-Crafts acylation?2) If Benzene is reacted with t-butyl chloride, why is the chief disubstituted product the para rather than ortho isomer? 1. Egyptians participated in organized sports including archery tournaments, chariot races and wrestling.TrueFalse Miamor wanted to make note cards by cutting pieces of paper in half.Before starting she got seven more pieces to use. When she was done shehad 28 half pieces of paper. With how many full pieces did she start? 1. Scientists estimate that humans left Africa at least 220 000 years ago ( T / F )3. Most likely humans left Africa at different times ( T / F ) Order 2/3, 2/9, 5/6, 11/18 from least to greatest. Solve the system of equations: y=x^2, y=x+6A.(3,9)B.(-3,9),(2,4)C. (-2,4),(3,9) D.(-2,-4),(3,9) Jada's bike wheels have a diameter of 20 inches. How far does she travel if the wheels rotate 37 times. Why was American morale so low? What is the author's purpose in this passage?When the music started, the guests jumped to their feet,grabbed partners, and started to dance. As Kelly waltzed,she felt like the ballroom was spinning. What a beautifulsight! Everyone moved so gracefully around the floor that itwas like they were on wheels.A. To teach an ideaB. To persuadeC. To entertainD. To explain something Describe a cars velocity as it goes around a track at aconstant speed. (West Meets East: The Collapse of an Empire LC) Who were the Powerful?Byzantine landowners who controlled most of the empire's armyScholars who worked to revise the legal code of the ByzantinesA Germanic tribe who fought with the Byzantines for lands in ItalyA group that attacked the Byzantines when they asked for help Watershed definition pls Here is some artwork i did can you see the difference. (And yes this is work dudes I did this with a trackpad.) A quadrilateral with 90 degree angles is shown. The lengths of the left and right sides are 10 and 2 y + 4. The lengths of the top and bottom sides are 18 and 10 + 2 x. What is the value of y? 3 4 5 6 true or false? A good paragraph may deal with several topics. Solve absolute value equation 2|x-3|-8=2 Determine the acceleration that results when a 12 N net force is applied to a 3 kg object. a. 4 m/s 2 b. 6 m/s 2c. 12 m/s 2d. 36 m/s 2 which substance compose the backbone of DNA