The diameters of bolts produced in a machine shop are normally distributed with a mean of 6.4 millimeters and a standard deviation of 0.06 millimeters. Find the two diameters that separate the top 5% and the bottom 5%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary.

Answers

Answer 1

Answer:

The bolts with diameter less than 5.57 millimeters and with diameter greater than 5.85 millimeters should be rejected.

Step-by-step explanation:

We have been given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.71 millimeters and a standard deviation of 0.08 millimeters.

Let us find the sample score that corresponds to z-score of bottom 4%.

From normal distribution table we got z-score corresponding to bottom 4% is -1.75 and z-score corresponding to top 4% or data above 96% is 1.75.

Upon substituting these values in z-score formula we will get our sample scores (x) as:

Therefore, the bolts with diameters less than 5.57 millimeters should be rejected.

Now let us find sample score corresponding to z-score of 1.75 as upper limit.

Therefore, the bolts with diameters greater than 5.85 millimeters should be rejected

Answer 2

Answer:

6.30 millimeters and 6.50 millimeters.


Related Questions

Find the value of x.

Answers

Answer:

107

Step-by-step explanation:

x=180-73

x=107

hope it helps


NEED ANSWERS PLEASE!


Which statement is true?
A)
Company l's rate per pound is twice the rate per pound of
Company 2.
B)
Company 2's rate per pound is twice the rate per pound of
Company 1.
© Company. 1's fixed fee is twice the fixed fee of Company 2.
D Company 2's fixed fee is twice the fixed fee of Company 1.

Answers

i’m pretty sure it’s the second answer? but not for sure i’ve done this before though

Which of the following is NOT an irrational number?

Answers

Answer:

I'm gonna go with the first choice because it's rational.

Step-by-step explanation:

Answer:

pi is the answer

Step-by-step explanation:

Enter the appropriate value to answer the question or solve the problem.
M-1/4=3/4 need to find m plz help

Answers

Answer:

M=1

Step-by-step explanation:

m-1/4=3/4 add 1/4 to both sides and you get m=1

Answer:

M = 1

Step-by-step explanation:

M-1/4=3/4

add 1/4 to both sides of the equation:

M - 1/4 + 1/4 = 3/4 + 1/4

simplify:

M = 1

The vertex form of the equation of a parabola is y = (x + 5)2 + 49.
What is the standard form of the equation?
O A. y= x2 + 10x + 74
B. y= x2 + 5x +49
O c. y = x2 + 49x + 35
d
O D. y= 5x2 + 10x+ 74
SUBMIT

Answers

Answer:

A

Step-by-step explanation:

which slope represents a like that passes through (4, 1/3) and has a slope of 3/4

Answers

Answer:

Answer is in her photo

Step-by-step explanation:

i dont remember need the points though

1. When observing the specimen, in which
part of the microscope will you place it?
A. base
B. stage
C. eyepiece D. inclination joint​

Answers

Answer:

b. the stage

Step-by-step explanation:

The stage typically has a stage clip on either side to hold the slide firmly in place.



Maria decides to increase her homework time of 8 hours per week by 15% Calculate her new homework time. Give your answer in hours and minutes

Answers

Answer:

Maria's homework time is now 9 hours 12 minutes.

Step-by-step explanation:

Since Maria decides to increase her homework time by 15%.

Then,

15% of 8 hours = [tex]\frac{15}{100}[/tex] x 8 hours

                        = 0.15 x 8 hours

                        = 1.2 hours

(Note that: 1.2 hours = 1 hour 12 minutes)

15% of 8 hours = 1 hour 12 minutes

her new homework time = 8 hours + 1 hour 12 minutes

                              = 9 hours 12 minutes

Maria's homework time is now 9 hours 12 minutes.

What is the hypotenuse of a triangle with legs that are both 4 inches?

Answers

By applying Pythagorean's theorem, the hypotenuse of this triangle is equal to: D. √32 inches..

Given the following data:

Adjacent side = 4 inches

Opposite side = 4 inches.

How to calculate the hypotenuse of a triangle?

In order to calculate the hypotenuse of this triangle, we would apply Pythagorean theorem.

Mathematically, Pythagorean's theorem is given by this formula:

c² = a² + b²

Where:

c is the hypotenuse.a is the adjacent side.b is the opposite side.

Substituting the given parameters into the formula, we have;

c² = 4² + 4²

c² = 16 + 16

c² = 32

c = √32 inches.

Read more on Pythagorean theorem here: https://brainly.com/question/16176867

#SPJ2

3)

13 and 31 both are prime numbers. In both numbers, 1 and 3 are common. Now,

make four pairs of such prime numbers from 1 to 100.​

Answers

13 and 31

17 and 71

37 and 73

79 and 97

hope my ans helps

be sure to follow me

stay safe ❣️

14x2 –y2 +3x2 –y+2y2

Answers

Answer:

120

Step-by-step explanation:

Which represents the value of c?

Answers

Answer:

Step-by-step explanation:

you are given the law of sines, in the question, so i'm guessing you don't get "law of sines" ???  

some times I think people might just be lazy and they don't try, but I can understand if you really don't get "law of sines' b/c it is kinda abstract.

Any way here is how you solve this problem and please ask if you don't understand about something I do to solve this.   Ask about it if you don't get it.  :)

Sin(45) / c   = Sin(45) / 3  

now algebraically solve for c

3* Sin(45) / Sin(45)  = c

if you're thinking the answer is 3 you're right.

indecently , if you didn't notice, this is an isosceles triangle and they do have the same length legs.   so  you know that x = 3 right away from that, but, it's good to understand Law of Sines as well.  :)  

what is the quotient of 3/20 of 10 is divided by 5/10 of 6/14?

Answers

Answer:

30

Step-by-step explanation:

6/10 of 20 is 12

 

7/14 of 12/15 is 1/2 of 4/5 which is 2/5

 

so you have to compute 12 ÷ 2/5 which is done as 12 times (5/2) which is 30.

what's the denominator of 75/? if 30/42

Answers

Answer:

The answer is 42 there you go

Step-by-step explanation:

(4, -3) reflected over the x-axis

Answers

Answer:

(4, -3) reflected over the X axis is (4,3)

Step-by-step explanation:

Help with this due today

Answers

Here is the answers

Laura's new bedroom is in the shape of a square and has an area of 144 ft2
What should Laura do to find the length of each side of her bedroom?

Answers

She should find the square root, of 144 sq ft, which is 12 ftHope that helps!

The length of each side of her bedroom is 12 feet.

Here,

Laura's new bedroom is in the shape of a square and has an area of 144 ft2.

We have to find the length of each side of her bedroom.

What is Area of square?

If the side of a square is 'x' then, Area of square is [tex]x^{2}[/tex].

Now,

Laura's new bedroom is in the shape of a square and has an area of 144 ft2.

Let length of each side is x.

Then,

[tex]x^{2} = 144\\\\x = \sqrt{144} \\\\x = 12[/tex]

Hence, The length of each side of her bedroom is 12 feet.

Learn more about the area of square visit:

https://brainly.com/question/24487155

#SPJ2

x+2/3=6 what is x .................​

Answers

Answer:

x=16/3

x=5 1/3

x=5,3333333.....

Step-by-step explanation:

x+2/3= 6

x= 6-2/3

x=16/3

x= 5 1/3

x=5,33333333333......

I hope this will help you

X=16/3 I hope this help :)


A single die is rolled. Find the probability of getting an odd number or a number less
than 5.

Answers

Answer:

Answer:Rolling a odd number is 1/5 and rolling a number less than five is 3/5

Step-by-step explanation:

Garrett has a current checking account balance of $695. Over the next three days, he receives a direct deposit of $475.75 from his job, pays an annual online banking fee of $24, and makes purchases of $34.21 and $8.92. He then withdraws $60 from an ATM that charges a $3.50 usage fee.
What is Garrett's account balance at the end of the day period? Write your answer in numeric form, such as $1369.05. ​

Answers

Answer:

1040.12

Step-by-step explanation:

695.00

+475.75

=1,170.75

Subtract

24.00

34.21

8.92

60.00

3.50

= 130.63

695.00+475.75=1,170.75-130.63=1040.12

Alonzo, Alice and Juan again all got different answers when they solve another problem. This time, they were solving:
( − 48 ) ÷ ( − 6 )

Alonzo believes the answer is 8.

Alice believes the answer is -8.

Juan believes the answer is -1/8
Do you agree with any of their answers?

Answers

Alonzo is correct

When dividing two negative numbers together they become positive so it’s basically 48 divided by 6

a truck is carrying 9 cars weighing an average of 4,500 pounds each. what is the total weight in tons of the cars on the truck.
STEP-BY-STEP PLS!!!!!!

Answers

2.25 tons
Step-by-step explanation:
It is a conversion problem. The connection between ton and pound is in the following order:
1 pound = 0.0005 tons
By multiplying each side by 4500 we can easily find the answer of this problem:
4500 pounds = 2.25 tons

1) (x+y)² =
A. x²+2xy+y²
B. x²-2xy+y²
C.x²-2xy-y²​

Answers

Answer:

a. x^2+2xy+y^2

Step-by-step explanation:

I hope this helps

Option A.

Hope it helps!

Helppppp!!! due in a few minutes

Answers

Answer:

b is the answer

Step-by-step explanation:

Solve it and take y in right hand side

Please help! I will mark you brainiest!!!!

Answers

Answer: x = 3

isolate x by adding 4 to each side

2x = 6

Divide by 2 to get x

x = 3

0.2) Sharad bought one quintal of onions for Rs 2000. Later he
sold them all at the rate of Rs 18 per kg. Did he make a profit
or incur a loss? How much was it?​

Answers

Answer: Loss, 200 Rs

Step-by-step explanation:

Given

Sharad bought  a quintal of onion i.e. [tex]1000\ kg[/tex] for [tex]Rs.\ 2000[/tex]

So, the cost price of onion is

[tex]\Rightarrow \dfrac{2000}{100}=20\ \text{Rs per kg}[/tex]

He sells it at [tex]18\ \text{Rs. per kg}[/tex]

Here, the Selling price is less than the cost price

So, he incurs a loss of [tex]2\ \text{Rs per kg}[/tex]

For a quintal it is

[tex]\Rightarrow 2\times 100=200\ \text{Rs}[/tex]

[tex]\Rightarrow \text{Loss }\ \%=\dfrac{C.P.-S.P.}{C.P.}\times 100\\\\\Rightarrow \text{Loss }\ \%=\dfrac{20-18}{20}\times 100=10\%[/tex]

Divide 14 4/10 by 5 9/16

Answers

1152/445 or u can put 2 262/445

If the product of two integers is zero, then which of the following MUST be true?
A) Both of the Integers are zero
B) At least one of the integers is zero
C) The sum of the two integers is zero
D) The difference of the two integers is zero

Answers

Answer:

B

Step-by-step explanation:

Anything times zero is zero, so any whole number can be the second one so long as the first is 0.

The sum doesnt have to equal zero because non zero numbers multiplied by zero still equal zero.

61°
Х
X =
degrees.
please help me

Answers

Step-by-step explanation:

61 + 90 = 151 degree

180 - 151 = 29 degree

180 - 29 = 151 degree is x value

WILL GIVE BRAINLIEST!!

please help meee the question is in the picture

Answers

Answer:

The answer is 6cm

Step-by-step explanation:

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