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


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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

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.

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Answer:

Step-by-step explanation:

Bb

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.

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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

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:

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100% - 70% = .30%

42 x 1.3 = 54.6

 

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.

1). Use the same ratio as 16 people in 25 square feet to estimate the size of a
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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.

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Answers

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

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Answers

Answer:

36

Step-by-step explanation:

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Answers

Intergers would be the proper set.

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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)

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Answers

Answer:

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

Step-by-step explanation:

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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!

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Answers

Answer:

a answer to a division problem

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Answer:

The quotient is 22.5

Step-by-step explanation:

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Step-by-step explanation:

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kilo-
hecto-
deka-
unit
deci-
centi-
milli-
1,000
100
10
1
0.1
0.01
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Answers

Answer:D

Step-by-step explanation:

Answer:

b i think

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Step-by-step explanation:

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true

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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

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Answer:

its actualy D

Step-by-step explanation:

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Answers

Answer:

19

Step-by-step explanation:

Step 1:

x = 10

Step 2:

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19

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Answers

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not enough info

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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