The tensile strength of a metal part is normally distributed with mean 40 pounds and standard deviation 5 pounds. If 50,000 parts are produced, how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength? How many would have a tensile strength in excess of 48 pounds?

Answers

Answer 1

Answer:

a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?

7933 parts

b) How many would have a tensile strength in excess of 48 pounds?

2739.95 parts

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, and σ is the population standard deviation.

a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?

z = (x-μ)/σ

x = 35 μ = 40 , σ = 5

z = 35 - 40/5

= -5/-5

= -1

Determining the Probability value from Z-Table:

P(x<35) = 0.15866

Converting to percentage = 15.866%

We are asked how many will fail to meet this specification

We have 50,000 parts

Hence,

15.866% of 50,000 parts will fail to meet the specification

= 15.866% of 50,000

= 7933 parts

Therefore, 7933 parts will fail to meet the specifications.

b) How many would have a tensile strength in excess of 48 pounds?

z = (x-μ)/σ

x = 48 μ = 40 , σ = 5

z = 48 - 40/5

z = 8/5

z = 1.6

P-value from Z-Table:

P(x<48) = 0.9452

P(x>48) = 1 - P(x<48)

1 - 0.9452

= 0.054799

Converting to percentage

= 5.4799%

Therefore, 5.4799% will have an excess of (or will be greater than) 48 pounds

We are asked, how many would have a tensile strength in excess of 48 pounds?

This would be 5.4799% of 50,000 parts

= 5.4799% × 50,000

= 2739.95

Therefore, 2739.95 parts will have a tensile strength excess of 48 pounds


Related Questions

-5 1/3 divided by 2 3/4

Answers

Hey there!☺

[tex]Answer:\boxed{-1\frac{31}{33}}[/tex]

[tex]Explanation:[/tex]

[tex]-5\frac{1}{3}/2\frac{3}{4}[/tex]

Divide both fractions.

[tex]\frac{-64}{33}[/tex]

Simplify the improper fraction.

[tex]-1\frac{31}{33}[/tex]

[tex]-1\frac{31}{33}[/tex] is your final answer.

Hope this helps!

X2 - X - 12
what's the answer for this question i am stuck

Answers

Answer:

not enough info

Step-by-step explanation:

not enough info

if f(x)=2x-1 what does f(10) equal

Answers

Answer:

19

Step-by-step explanation:

Step 1:

x = 10

Step 2:

2 ( 10 ) - 1

Step 3:

20 - 1

Answer:

19

Hope This Helps :)

Jim bought a fishing rod for $42. This price was 70% of the original price. What was the original price?

Answers

Answer:

54.6

Step-by-step explanation:

42 =  70%

100% - 70% = .30%

42 x 1.3 = 54.6

 

Which set of ordered pairs does not represent a function

Answers

Answer:

The Second one {(-8,-7), (4,-2), (2,9), (-8,8)}

Step-by-step explanation:

A function only gives ONE out put for a given value. But the second set has two outputs if we input -8, it gives you -7 and 8 so this must not be a function.

1). Use the same ratio as 16 people in 25 square feet to estimate the size of a
crowd that is 10 feet deep on both sides of the street standing along a 1-mile
section of a parade route.

Answers

Answer:

33,792 people

Step-by-step explanation:

The parade route is rectangular in nature. The area of the parade route will be expressed as:

Area = Length × Breadth

If the route is 10feet deep, the length of the route = 10feet

Is the section of the route is 1 mile, the width of the parade route = 1mile × 5280ft = 5280ft

Area of the parade route = 10×5280 = 52,800ft²

If 16 people in 25 square feet is used to estimate the size of a crowd, the number of a crowd in a 52800ft² parade route is expressed as;

25ft² = 16

52800ft² = x

Cross multiply

25×x = 16×52800

25x = 844,800

x = 844,800/25

x = 33,792

Hence there are 33,792 people on 1-mile section of a parade route that is 10ft deep.

HEEEEEEEEEEEEEEEELLLLLLLLLLLLLP :(

Answers

1 2/5 for mixed number and 7/5 one fraction I think

True or false: Supporting evidence refers to examples that can be used to help visualize why a statement is true. (1 point) This statement is false. Supporting evidence refers to examples that can be used to help visualize why a statement is false. This statement is true. This statement is false. Supporting evidence refers to examples that prove a statement is true. This statement is false. Supporting evidence refers to examples that prove a statement is false.

Answers

Answer:

The answer is: This statement is true :)

Step-by-step explanation:

A bag contains n cards, each having numbers (1,2,3...,n) written on it. If all numbers are used, the probability of drawing a card with a number less than or equal to 4 is 1/6. How many cards are in the bag?

Answers

Step-by-step explanation:

There are 4 cards less than or equal to 4.

1/6 = 4/n

n = 24

If x is a Poisson random variable with a mean of 10, what is the probability that x is greater than 6?

Answers

Answer:

Step-by-step explanation:

6

hat is the quotient of 78.3 ÷ 3.48?

Answers

Answer:

a answer to a division problem

Step-by-step explanation:because thats have it is U-U

Answer:

The quotient is 22.5

Step-by-step explanation:

78.3/3.48 783/10/348/100 783/10/2^2*3*29/2^2*5^2 which gives you 45/2 divide that and it gives you 22.5 as your answer

Hope this helps

Determine what to add to make the trinomial a perfect square. x2+8x+___

Answers

Answer: 16

Step-by-step explanation:

For a perfect square each factor is identical.

Now, we have to find a number that adds to get 8.

The only option is (x+4)(x+4). When you distribute, you get x²+8x+16.

Now, we know that the missing number is 16.

What is 6 times 6? #ifyouknowitquestion!

Answers

Answer:

36

Step-by-step explanation:

Daniel bought a pokemon card at a store for $10. He sold the card for $20.
Later he bought the same card back for $30 and then sold it again for $50.
How much money did he make or lose on the pokemon card?

Answers

Answer:

Daniel gained 30 dollars.

Step-by-step explanation:

-10 + 20 = 10

10 - 30 = -20

-20 + 50 = 30

Hope this helps :)

Order the fractions from least to greatest. 2/3 ,4/9,5/6,7/12

Answers

Answer:

4/9 , 7/12 , 2/3 , 5/6

Step-by-step explanation:

2/3 × 12/12 = 24/36

4/9× 4/4= 16/ 36

5/6 × 6/6 = 30/36

7/12× 3/3 = 21/ 36

Help ASAP I will give 20 pionts!

Answers

what do you need help with
What’s the question?

Which of the following is most likely the next step in the series

Answers

Answer:

The answer is C

Step-by-step explanation:

You have to find the pattern, in this case it's 4,5,6, then 7

Hope this helps! :)

Answer:

its actualy D

Step-by-step explanation:

We say that E is an indicator functions for the event A if I = {1 if A occurs 0 if A^c occurs Find E[I]. Compare the indicator function to a Bernoulli random variable.

Answers

Answer:

Step-by-step explanation:

Bb

Write this ratio as a fraction in lowest terms
60 minutes to 70 minutes

Answers

The answer is 7/6 bc you take the the two zeros from the side

An apple pie is divided into eight equal slices with each slice being 280 calories. How much calories are in the entire pie

Answers

Answer:

2240

Step-by-step explanation:

280*8= 2240



Brianna is playing darts. So far, she has hit the bullseye 6 times and missed the bullseye 27
times. Considering this data, how many bullseyes would you expect Brianna to get during her
next 88 tosses?

Answers

At 111 tosses (33 + 88) she will hit the bullseye every 3.3 tosses approximately. So she would have hit the bullseye about 33.6 times. You can also rounded up to 34 times.

True or False. All Rational Numbers are also Integers.

Answers

Answer:

true

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

The circle of real numbers. Natural goes into Whole, Whole goes into Integers, and intergers go into rational.

7/8 + (-3/4) + (-7/-8)+ 3/4

Answers

Answer:

1.75 or  1  3/4

Step-by-step explanation:

7/8 + (-3/4) + (-7/ -8)+ 3/4

Simplify

7/8 -3/4 -7/-8 +3/4

We can get rid of -3/4 + 3/4, because together they = 0.

7/8 - 7/-8

So then we divide and subtract and get

1.75 or 1 3/4

If a class has 12 boys and 4 girls, what is the ratio of boys to girls written as a decimal? 0.33 0.75 3 4

Answers

Answer:

Pretty sure it's 3

Answer:

C 3

Step-by-step explanation:

Which of the following statements is false? A. If a number is a natural number, then it is rational. B. If a number is a whole number, then it is rational. C. If a number is a fraction, then it is rational. D. If a number is an integer, then it is irrational.

Answers

Answer:d bc its integers a rational not irrational

Step-by-step explanation:

Your welcome

Answer:

d

Step-by-step explanation:

i got it right

Which of these distributions is most likely to show data collected while studying the number of the plates people use while eating at an all you can eat buffet explain your reasoning

Answers

Answer: The second distribution.

Step-by-step explanation:

We should to expect to see a large density for the lowest number of plates (because is more common to eat 1, 2 or 3 plates than more)

For example, in the first distribution, we can see a normal distribution with a mean of 6.

This does not really make sense, because 6 plates is really a lot.

The third distribution has two peaks, one at 1 plate that has a lot of sense, and another at 10 plates, so this also does not have really a lot of sense (again, 10 plates is really a lot)

The fourth distribution seems to be even for all the number of plates, which would say that there is almost the same number of customers that eat 1 or 2 plates than the number that eats 9 or 10. This does not seem really logical, so we can assume that this is incorrect.

The second distribution is the correct one, because we see a larger density at a smaller number of plates (with a maximum at 2 plates) and the number of customers starts decreasing as the number of plates decreases (in this case, we can see that no one ordered more than 9 plates, which makes a lot of sense)

How do u write 200+9+07+0.01 In written form

Answers

Answer:

297.01 In

Step-by-step explanation:

PLZ I NEED HELP A crate of bananas has a mass of 674.8 dekagrams. What is the mass of the crate of bananas in centigrams? Use the metric table to help answer the question.

Metric Table
kilo-
hecto-
deka-
unit
deci-
centi-
milli-
1,000
100
10
1
0.1
0.01
0.001
a.0.6748 centigrams
b.6.748 centigrams
c.67,480 centigrams
d.674,800 centigrams

Answers

Answer:D

Step-by-step explanation:

Answer:

b i think

Step-by-step explanation:

1. Which set(s) of numbers does -87 belong to?

Answers

Intergers would be the proper set.

Complete the graduated commission problem: You earn 20%
commission on the first $500 of sales, 25% commission on the next
$1000 of sales, and 30% commission on all sales over $1500. If you sold
$1940, what is your total commission?

Answers

Answer: I'll give you both the percentage and dollar amount. 75% = $144

Step-by-step explanation: first, I added up all the percentages to total 75%. then I took the total sales, and divided that by .75 (75% in decimal form), so:

1940 x .75 = 1455

1940 - 1455 = 144

Other Questions
Regular work, no matter the weather, was a blessing to the workers moving from farms to the city because they would work no matter the weather. If my function rule is y=x + 3, what is the OUTPUT if the input is 4? Name the property illustrated by each equation.(6.8)x5 = 6x(8.5) If anyone knows how to do this pls help You earn $15 an hour tutoring and $9 an hour working at the Sippy Drink. You can tutor a maximum of 10 hours a week. You have to put in at least 20 hours a week at the Sippy Drink to keep your job there. You can't work more than 40 hours a week. how many hours should you work at each job to earn the maximum amount of money a week? 2. Jacy bought a gold necklace weighing 21.3 grams from a flea market She filled a 10ml graduated cylinder with water to the 50 mL mark and dropped her necklace in. The level in the graduated cylinder rose to 7.4mL is her necklace real or fake? If not, identify the possible composition of her necklace Gold: 19.3 g/cm^3 Copper 8.86 g/cm^3Bronze: 9.87 g/cm^3 Who old is the white house? I NEED HELP PLEASE !!! How is African civilization different from European civilization? Which of the following statements does not represent the same value as the others?a) the distance between 0 and 9b) the absolute value of negative 9c) the opposite of 9the absolute value of 9 Solve for x:-4x+1`=-9x+16 The scale on a drawing is 2 inches:5 yards. If a length on the drawing is 6 inches, what is the actual length? when 560000 is written in notation, what is the power of 10 a 4, b 5, c 6, d 7 Electrons are in regions around the nucleus called energy levels. The firstenergy level Which would be considered a secondary source about the assassination of Abraham Lincoln?a diary entry by a witness to the assassination an interview with a member of the audience at Fords Theater where Lincoln was shotan interview with Booths understudy, who was not at Fords Theater the night of the assassinationa newspaper article written by a reporter who was in the audience at Fords Theatre SOMEONE HELP ASAP PLEASE Q) What does it mean by put you down? please, answere me Which of the following is a characteristic of a nation-state? A survey found that 12 out of every 15 people prefer eating out over cooking. If 500 people took the survey, how many people prefer eating out? An engineering team has come to the stage in the engineering designprocess in which it is iterating to improve the solution. What is one thing theymight be doing?A. Identifying different sets of criteria and constraints to use for eachpossible solutionB. Choosing one solution to model out of many possible solutionsthe team has identifiedC. Identifying the limits on how the prototype can be used to solvethe engineering problemD. Making improvements to the original prototype in order to performmore tests