The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the population standard deviation is 5 millimeters.

Find the probability that the diameter of a selected bearing is between 104 and 115 millimeters. Round your answer to four decimal places.


What is the notation?

Answers

Answer 1

Answer:

0.6710

Step-by-step explanation:

The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the population standard deviation is 5 millimeters.

Find the probability that the diameter of a selected bearing is between 104 and 115 millimeters. Round your answer to four decimal places.

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 107 mm

σ is the population standard deviation = 5 mm

For x = 104 mm

z = 104 - 107/5

z = -0.6

Probability value from Z-Table:

P(x = 104) = 0.27425

For x = 115 mm

z = 115 - 107/5

z = 1.6

Probability value from Z-Table:

P(x = 115) = 0.9452

The probability that the diameter of a selected bearing is between 104 and 115 millimeters is calculated as:

P(x = 115) - P(x = 104)

0.9452 - 0.27425

= 0.67095

Approximately = 0.6710


Related Questions

Jerry rhombus has a base of 15 inches and a height of 9 inches. Charlene rhombus has a base

Answers

Complete Question:

Jerry’s rhombus has a base of 15 inches and a height of 9 inches. Charlene’s rhombus has a base and a height that are 13 the base and height of Jerry’s rhombus. Compare the area of Charlene’s rhombus to the area of Jerry’s rhombus.

Answer:

Charlene's rhombus has a larger area

Step-by-step explanation:

Given

Jerry's

[tex]Base = 15in[/tex]

[tex]Height = 9in[/tex]

Charlene's

[tex]Base = Height = 13in[/tex]

Required

Compare both areas

The area of rhombus is:

[tex]Area = Base * Height[/tex]

For Jerry's

[tex]Area = 15in * 9in[/tex]

[tex]Area = 135in^2[/tex]

Charlene's

[tex]Area = 13in * 13in[/tex]

[tex]Area = 169in^2[/tex]

By comparison: Charlene's rhombus has a larger area by 34in^2

Answer:

I THINK THE ANSWER IS 1/9 WHICH IS THE 2ND ANSWER.

Step-by-step explanation:

I DONT HAVE AN EXPLANATION BUT I DO KNOW ITS ACCURATE

this is standard form (9x10 to the power of -4) to the power of 2

Answers

Answer:

9×10 to the power of -8

Step-by-step explanation:

Cause when we add power to the power we multiply them

For example [tex](2^{2} )^2[/tex] , we multiply the power so , 2×2= 4 so [tex](2^{2} )^2[/tex] = [tex]2^{4}[/tex]=16

Same here [tex]((9*10)^{-4} )^2[/tex] we multiply the powers so -4×2=-8

So [tex]((9*10)^{-4} )^2[/tex] =[tex](9*10)^{-8}[/tex] = 2.323×[tex]10^{-16}[/tex]

9x10 to power of -8
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Step-by-step explanation:

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Answer:

x^2-1

Step-by-step explanation:

I hope this helps.

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A line contains the point (-2, 2) and isparallel to the line y = ½x + 8. What is the
equation of this parallel line?

Answers

Answer:

Step-by-step explanation:

y - 2 = 1/2(x + 2)

y - 2 = 1/2x + 1

y = 1/2x + 3

PLEASE HELP THIS IS DUE SOON <33

Find the least possible measure of the third side of a triangle with the given side lengths if the missing measure is a whole number. The given side lengths are 7 in and 11 in.

Answers

Answer:

5 inches

Step-by-step explanation:

Theorem states that the smaller two sides of a triangle have to be greater than the biggest side.

The least possible answer would be 5 inches.

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Step-by-step explanation:

Answer:

C. Y-6= 3/4 (x+4)

Step-by-step explanation:

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1?
Click on the correct graph.
A)
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c)
D)
15
15
10
-10
-15

Answers

Answer: The answer is A I am 100% sure

Step-by-step explanation:

Find the value of x.

Answers

Answer:

x=4

Step-by-step explanation:

Power of the Point Theorem:

x*3=6*2

3x=12

x=4

At 100°F, a certain Insect chirps at a rate of 97 times per minute, and at 102°F, they chirp 111 times per minute. Write an equation in slope-intercept form that represents the situation.​

Answers

Answer:

y = 7x - 603

Step-by-step explanation:

We start by determining the slope:

m = y2 - y1/x2 - x1 = 111 - 97/102 - 100 = 14/2 = 7,

Now we substitute the slope into the slope-intercept equation y  = mx + b, solving for the y-intercept [b]:

111 = 7(102) + b,

b = -603

Equation: y = 7x - 603

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Step-by-step explanation:

Please help me.. I’m not really good at math so please??

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Answer:

TanA = 5/12, SinA = 5/13

Step-by-step explanation:

Tangent is opposite/adjacent, so 5/12

Sin is opposite/hypotenuse, so 5/13

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Answer:

y-intercept: [tex](0,5)[/tex]

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Answer:

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your gym membership cost $33 per month after an initial membership fee. you paid a total of $228 after 6 months. writer an equation that gives the cost as a function of the length of your gym membership (in months). find the total cost after 9 months

Answers

Answer:

what i did was multiply 33*6 and got 198 and then 228-198 to find out that the initial fee was 30 dollars. then multiply 33*9+30 to get a  9-month total cost of $327

Step-by-step explanation:

cost = $33 per month + fee  

1.  c(m) = 33m + f

 33(6) + f = 228

198 + f = 228

f = $30 membership fee  

c(m) = 33m + 30

 2.  at 9 months:  33(9) + 30 = $327

hopefully this helps :)

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

6.2

Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

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The McDonald's Play Place is going to increase its ball pit size to allow for more fun! The ball pit was originally 10 feet by 12 feet. They have decided to increase each side by the same amount. Express the area of the new pit as a polynomial in simplest form.

Answers

Answer:

A = x² + 22x + 120

Step-by-step explanation:

Since the ball pit was originally 10 feet by 12 feet and each side is increased by the same amount which we would call x, the new length of sides are thus 10 + x and 12 + x respectively.

The area of the new pit is thus A = (10 + x)(12 + x), since it is a rectangle.

Expanding the brackets, we have

A = 10 × 12 + 10x + 12x + x²

collecting like terms, we have

A = 120 + 22x + x²

A = x² + 22x + 120

which method between graph method and table method friendly use? Motivate your answer​

Answers

Answer:

in my experience table method is friendly use because it is easier to work with than a graph

Graph is good for seeing the overall trend/pattern in your data

Table is good for knowing the specific numerics

Each has its pros and cons so use it based on your needs

what is the GCF (greatest common factor) of 12 and 27.

Answers

Step-by-step explanation:

The GCF of these numbers is 3 i did found it by prime Factorization 12 prime Factorization is 3x2x2 and for 12 is 3x3x3 so 3 it is the same of both so us it and bye have a good day

Answer:

Since u got this answer could u mark me and thank you

Step-by-step explanation:

What are the square roots of each perimeter of a rectangle?

Answers

Answer:

Step-by-step explanation:

The perimeter is simply 2 times length + 2 times width. In the case of our square, this would simply be 2x+2x (since length = width), or 4x . Therefore, if given an area, all you'd do is take the square root (to get from x2 to x , and then multiply by 4 to find perimeter.

Answer:

The first method

Take a square root, then multiply it by 4.

The defining characteristic of a square is that its length is equal to its width. Take a look below:

Self-created

So, for this particular square, the area is length⋅width, or x⋅x=x2. Now, how can you go from this to perimeter?

Well, the formula for perimeter is simply 2 times length + 2 times width. In the case of our square, this would simply be 2x+2x (since length = width), or 4x.

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The second method

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Explanation:

To find the perimeter of square, you just need to know the length of one side, because in a square all the sides are the same length.

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s2=A

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P=4×6=24

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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A  just took the test.

Step-by-step explanation:

Lucas scored 9 goals in 4 soccer games last season. Approximately how many points did Lucas average per game?

Answers

Answer:

Lucas scored approximately 2.25  or 2 1/4 goals per game.

Step-by-step explanation:

To find out just divide 9 to 4. Hope this helps :)

Lucas scored points at an average 2.25 per game.

What is average?

The average is calculated as the product of all values divided by all possible values. It can also be described as mean. The mean in statistics is the average value for the particular sample or collection of data. It is determined by dividing the sum of the total number of observations by the total number of observations.

Given:

Lucas scored 9 goals in 4 soccer games last season.

Average per game = total goals / total game.

= 9/4

= 2.25

Therefore, the average is 2.25 per game.

To learn more about the average;

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help help help help help

Answers

Sheryl earns about 13$ an hour so what you have to do is multiply 13 by 9 and then if I’m correct then that answer should land somewhere on the Line drawn

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Answer:

4410

Step-by-step explanation:

:)

im pretty sure its B. 4,410 !

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just minus 2 by all of the numbers from x

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Use photo math, it will explain everything

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