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

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.

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.

The second method

s=√A

P=4×s

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.

If you know the area, find the square root of it to find the side.

s2=A

∴s=√A

Now you multiply by 4

For example, if the area is 36cm2

A=36

s=√36=6

P=4×6=24

Step-by-step explanation:

stream dynamite and life goes as much as u can cuz we're gonna reach 1B. :))) ;)))♡♡♡♡♡♡♡♡♡♡♡♡♡¡!¡!¡!¡!¡!¡!¡!¡!¡!¡♡♡♡♡♡♡♡♡♡♡

#westankings

#BTS

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

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

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.

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;

https://brainly.com/question/29550341

#SPJ6

1 less than the square of a number.

Answers

Answer:

x^2-1

Step-by-step explanation:

I hope this helps.

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

What is the area of a triangle that has a height of 6 ft and a base length of 7 feet?

Answers

Answer: 21ft

Step-by-step explanation:

Answer:

the area of triangle is height ×base

6×7=42

i think this is the answer

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:

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

Mr Maretti is making welcome bags

Answers

Answer:

Step-by-step explanation:

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

Which graph can be defined by the function y = -6x +
1?
Click on the correct graph.
A)
-15
c)
D)
15
15
10
-10
-15

Answers

Answer: The answer is A I am 100% sure

Step-by-step explanation:

what is the answer please

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

PLEASEEEEE HELPPPPPO!!!!

Answers

Answer:

Search it

Step-by-step explanation:

Duh............................................................

please help im trying to find "x"

Answers

Answer:

8

Step-by-step explanation:

which of the three curves drawn matches the graph of y = 2x 2 + x?

Answers

Answer:

y= 0 1 2 3 4

Step-by-step explanation:

just minus 2 by all of the numbers from x

brianlist anyone?!?!?!

Answers

Answer:

its the third one

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

How many triangles can a polygon with 32 sides be sectioned into?

Answers

32 sides of a polygon has 20 triangles.

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

What is the mean of the following data set 5,9,5,2,,10

Answers

Answer:

6.2

Step-by-step explanation:

Answer:

6.2

Step-by-step explanation:

mean is equal to all the numbers in the data set added together divided by the number of numbers in the data set

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

Answers

what’s the question

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 :)

have a nice day !!

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
Good luck

UGHH HELP ME PLSSS FOR EXTRA POINTS AND BRAINLEST

Answers

Answer:

4410

Step-by-step explanation:

:)

im pretty sure its B. 4,410 !

Marcos makes a table to show how many students in his class wear glasses. There are 18 boys and 14 girls in the class. There are 5 boys and 7 girls who wear glasses. Which table correctly shows the data?

Answers

Answer:

wheres the tables at

Step-by-step explanation:

Answer:

A  just took the test.

Step-by-step explanation:

Question is on picture

Please help
Zoom in if needed :D

Answers

96$ source: just trust me bro

please get it right, i done this so many times now, i'm running out of points

Answers

Answer:

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

x-intercept: [tex](5/2,0)[/tex]

Answer:

x-intercept = (5/2, 0)

y-intercept = (0,5)

Trig Ratios see attachment

Answers

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

Hopefully this helps! Let me know if you have any questions

g(x)=(x-58)^2 in vertex form

Answers

Answer:

Use photo math, it will explain everything

Other Questions
hiii please help ill give brainliest thanks You are making lemonade. The amount of sugar you need depends on the amount of lemonade mix you use. Cups of sugar \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction 111 333 Packets of lemonade mix 111 333 999 Is the amount of sugar you need proportional to the amount of lemonade mix you use? Jamil has $62.67 in his saving account. His grandma gave him $5.00 for mowing the lawn and $.75 for taking out the garbage. How much money does Jamil have altogether? The models below represent nuclear reactions. The atoms on the left of the equal sign are present before the reaction, and the atoms on the right of the equal sign are produced after the reaction. Model 1: Atom 1 + Atom 2 = Atom 3 + energy Model 2: Atom 4 = Atom 5 + Atom 6 + energy Which of these statements is most likely correct about the two models? (2 points) Both models show reactions which produce energy in the sun. Both models show reactions which use up energy in the sun. Model 1 shows reactions in the nuclear power plants and Model 2 shows reactions in the sun. Model 1 shows reactions in the sun and Model 2 shows reactions in a nuclear power plant. How many grams of NaOH (MW = 40.0) are there in 500.0 mL of a 0.175 M NaOH solution?A) 3.50B) 114C) 14.0D) 2.19x10 24. Please type the correct conjugation for each verb. Make sure your answers are in lower caseincluding the first letter. The verb is necesitarEllas(1 Point)Enter your answer Jameson is writing about this excerpt from The Jungle Book."He is our brother in all but blood," Akela went on; "and ye would kill him here. In truth, I have lived too long. Some of ye are eaters of cattle, and of others I have heard that, under Shere Khan's teaching, ye go by dark night and snatch children from the villager's doorstep. Therefore I know ye to be cowards, and it is to cowards I speak. It is certain that I must die, and my life is of no worth, or I would offer that in the man-cub's place. But for the sake of the Honor of the Pack,a little matter that, by being without a leader, ye have forgotten,I promise that if ye let the man-cub go to his own place, I will not, when my time comes to die, bare one tooth against ye. I will die without fighting. That will at least save the Pack three lives. More I cannot do; but, if ye will, I can save ye the shame that comes of killing a brother against whom there is no faulta brother spoken for and bought into the Pack according to the Law of the Jungle.Jameson makes the claim "Akela teaches the importance of following Jungle Law.Which detail best supports this claim?He congratulates the Pack on following Shere Khans teachings and hunting in the village at night.He warns that, according to the Law, it is shameful to kill another Pack member who has done nothing wrong.He admits that his life is of no worth because he is old and offers to give his life for Mowgli.He tells that Pack that the Law of the Jungle is going to disappear if it is not obeyed. "Hurricanes and tornados are two of nature's destructive forces. 2Hurricanes bring high winds, high seas, and vast amounts of rain. High seasrip Into the shore line and cause massive flooding, while strong winds and rains can destroy homes, pull down power lines, and uproot trees.Tornados are no better. SThey can destroy a home, as easily as we pick up a snail, with their powerful wind funnel.Which numbered sentence is the topic sentence?.1 .2 .3D.4 The Bower family and the Jones family went to a restaurant and ordered food. Each burger cost the same, and each drink cost the same. The Bowers ordered 3 burgers and 2 drinks for a total of $13.50. The Joneses ordered 5 burgers and 4 drinks for a total of $23.50.Which system of equations can be used to determine the cost of each burger, m, and each drink, p? HELP PLS!! If the sequence 4, 8, 12, 16 continues, what will be the 7thterm? An organisms appearance is its phenotype. Describe the offsprings phenotype. Use the simple interest formula to find the interest earned and the ending balance. I = Prt1. $270 at 9% for 3 years Read the description of Rene descartes below which step of the scientific method does the description most closely match PL Z HELP 30 points brainliestKenneth sold $26,000 worth of computers in eight days. At this rate, how many dollars worth of computers can he sell in 10 days? Nine times the sum of a number and 2 is 8. Use the variable x for the unknown number Given the vertex form of a parabola Convert 678.92 cm into meters dentify whether each element is a halogen, a noble gas, or nonmetal only.Astatine (At): Nitrogen (N): Krypton (Kr): Chlorine (Cl): Sulfur (S): Analyze the Punnett square below and determine the the genotypic ratio. Axial flowers are dominant 1. By what factor did the medicine decrease in the first hour and a half? Explain how you know.