A part manufactured by plastic injection molding has a historical mean of 100 and a historical standard deviation of 8. Find the value of the mean thickness required to make the probability of exceeding 101 less than 8%.

Answers

Answer 1

Answer:

The probability of thickness exceeding 101 is 0.4483.

Step-by-step explanation:

Let X denote the thickness of the part manufactured by plastic injection molding.

Assume that X follows a normal distribution with mean, μ = 100 and standard deviation, σ = 8.

Compute the probability of thickness exceeding 101 as follows:

[tex]P(X>101)=P(\frac{X-\mu}{\sigma}>\frac{101-100}{8})[/tex]

                    [tex]=P(Z>0.125)\\\\=1-P(Z<0.125)\\\\=1-0.55172\\\\=0.44828\\\\\approx 0.4483[/tex]

Thus, the probability of thickness exceeding 101 is 0.4483.


Related Questions

Three assembly lines Alpha, Beta, and Gamma make the same power transistor. Each of the assembly lines has its own level of efficiency. Resulting in inventory having 20% of the transistors from Alpha, 50% from Beta, and the remaining 30% from Gamma. Further the probability a transistor from Alpha will be defective is 0.02, a transistor from Beta will be defective is 0.06, and a transistor from Gamma will be defective is 0.04. If a random transistor from inventory is defective, what is the probability it came from Bet

Answers

Answer:

P [ β / Def]  = 0,6521     or      65,21 %

Step-by-step explanation:

Tree diagram:

0,20 (α)       Defective  0,02

0,50 (β)       defective   0,06

0,30 (γ)       defective    0,04

According to Baye´s Theorem

P [ A/B]  = P[A] * P [ B/A] / P[B]

if we call

β = A   and  Defective = B       then  P[β] = P[A]  and P[Defective] = P[B]

we get :

P [ β / Def]  = P[β] * P [ def./β] / P[def]

Then

P[β] = 0,5

P[def/β] = 0,06

P [Defective] = 0,02* 0,2 + 0,06*0,5 + 0,04*0,3

P [Defective] = 0,004 + 0,03 + 0,012

P [Defective] = 0,046

P [ β / Def]  = 0,5 * 0,06 / 0,046

P [ β / Def]  = 0,6521     or      65,21 %

Pleas help I am brainliesting and show the steps

Answers

Answer:

2 and 1/3 ---->>> 2 1/3

Step-by-step explanation:

At 4, its 4 cm

Within 3 hours it has gained 7 cm

7/3=2.33333

2 1/3 would be the mixed number

can i get brainliest please?

The temperature of air samples take. simultaneously over a large city are shown below. 22.5, 23.8, 20.2, 22.4, 23.1, 24.7, 23.7, 21.7, 21.1 Determine whether the data are qualitative or quantitative and identify the data set’s level of measurement.

Answers

Answer:

The given data is quantitative.

These are interval level of measurement.

Step-by-step explanation:

Data : 22.5, 23.8, 20.2, 22.4, 23.1, 24.7, 23.7, 21.7, 21.1

Qualitative data : It is descriptive information about characteristics that are difficult to define or measure or cannot be expressed numerically.

Quantitative data : It is numerical information that can be measured or counted.

So, The given data is numeric

So, the given data is quantitative.

These are interval level of measurement.

Interval : It is as follows-Interval scales are numeric scales in which we know not only the order, but also the exact differences between the values

The class has a ratio of 5 boys for every 8 girls. If the school has 312 students, how many are boys

Answers

Answer:

120, if I did it right

Step-by-step explanation:

In a group of 13 students, 5 are boys. Turn that into a fraction, 5 over 13 or 5/13. Just multiply 5/13 times 312 and you get your answer, 120.

How do I write Domain and Range in inequality notation?

Answers

Answer:

Step-by-step explanation:To combine two intervals using inequality notation or set-builder notation, we use the word “or.” As we saw in earlier examples, we use the union symbol, \displaystyle \cup∪, to combine two unconnected intervals. For example, the union of the sets \displaystyle \left\{2,3,5\right\}{2,3,5} and \displaystyle \left\{4,6\right\}{4,6} is the set \displaystyle \left\{2,3,4,5,6\right\}{2,3,4,5,6}. It is the set of all elements that belong to one or the other (or both) of the original two sets. For sets with a finite number of elements like these, the elements do not have to be listed in ascending order of numerical value. If the original two sets have some elements in common, those elements should be listed only once in the union set. For sets of real numbers on intervals, another example of a union is

In the diagram below, the radii of the two concentric circles are 3 centimeters and 7 centimeters, respectively.
What is the area of the shaded region?

Answers

Answer:

125.6 cm²

Step-by-step explanation:

Area of the shaded region = area of larger circle - area of the smaller circle

Area of the smaller circle = πr²

π = 3.14, r = 3 cm

Area of smaller circle = 3.14*3² = 3.14*9 = 28.26 cm²

Area of larger circle = πr²

π = 3.14, r = 7

Area of larger circle = 3.14*7² = 3.14*49 = 153.86 cm²

Area of the shaded region = 153.86 - 28.26 = 125.6 cm²

A river with large, smooth rocks on the bottom, small and medium sized sediment is moving downstream. Which conditions resulted in the erosion of larger rocks, like the one circled in the image? Check all that apply. low gradient, low velocity low gradient, high velocity low gradient, high volume high gradient, low velocity high gradient, high velocity

Answers

Answer:

low gradient, high volume

high gradient, low velocity

high gradient, high velocity

Step-by-step explanation:

Answer:

low gradient, high volumehigh gradient, low velocityhigh gradient, high velocity

Step-by-step explanation:

Interest earned on 5000 with a rate of 6.4% for 4 years

Answers

Answer:

1280

Step-by-step explanation:

I = p x r x t

I = 5000 x 6.4/ 100 x 4

I = 5000 x 0.064 x 4

I =1280

find the value of x.
I Need to show the equations please, and show my work

Answers

Answer:

15

Step-by-step explanation:

since both equations are set with a right angle, the equation must be equal to 90 degrees. So you set the equation as

13+x+4x+2=90

add the x variables together and the constants separately

15+5x=90

then subtract 15 from both sides.

15+5x=90

-15      -15

5x=75

then divide 5 from both sides.

75/5= 15

so x is 15 :).

Answer:

It shows a 90° angle split into 2 separate angles so,

[tex]13 + x + 4x + 2 = 90\\\\5x + 15 = 90\\\\5x = 75\\\\x = 15[/tex]

Basically, the total angle measure of the given angles [90°, (13 + x)°, and (4x + 2°) equals 180°. Take away 90 from 180 and you get 90, then solve for x using what's left: 13 + x + 4x + 2 = 90. You get x = 15.

there are 5,280 feet in 1 mile if Riley ran 26,400 feet how many miles did she run ​

Answers

the correct answer is Riley ran 5 miles .

Pleas help I am brainliesting

Answers

Answer:

$2.22 i think

Step-by-step explanation:

Answer:

You would have $2.22 left.

Step-by-step explanation:

6.96 - (0.79 * 6)

6.96 - 4.74

2.22

What is the value of sin-1(1)?

Answers

The value of sin^(-1) 1 is; π/2

We want to find the value of sin^(-1) 1

Now, when using trigonometric functions, we know that; If sin θ = x Then; θ = sin^(-1) x

Now, we want to find the angle.

We know that in radians the value of θ at which sin θ = 1 is; π/2 radians

Thus; sin^(-1) 1 = π/2

Read more about trigonometric angles at; https://brainly.com/question/22591162

Tyler has a baseball bat that weighs 28 ounces. Find this weight in kilograms and in grams.

Answers

Answer:

28 in grams=793.787 and 28 in kilo =0.793787

Step-by-step explanation:

For the following set of triangles, fill in the blanks with the correct measure. Enter your answers as number only.

1) m 2) m 3) m 4) m 5) m 6) m 7) Segment AB = ___ units
8) Segment BC = ___ units
9) Segment AC = ___ units
10) Segment XY = ___ units
11) Segment YZ = ___ units
12) Segment XZ = ___ units

Answers

Answer:

Step-by-step explanation:

Since ΔABC ≅ ΔXYZ,

By the property that says that "corresponding parts of the congruent triangles are congruent"

Corresponding angles (Including right angle) will be equal.

m∠A = m∠X = 180° - (90° + 37°) = 53°

m∠B = m∠Y = 90°

m∠C = m∠Z = 37°

Corresponding sides of the triangles will be equal.

AB ≅ XY = 3 units

BC ≅ YZ = 4 units

AC ≅ XZ = 5 units

Patrick wants to estimate the percentage of parents who use cloth diapers. He asks a randomly selected group of 125 parents whether or not they use cloth diapers. What is the statistic?

Answers

Answer:  The percentage of parents who use cloth diapers in the sample is the statistic.

Step-by-step explanation:

A statistic is the measure of a particular characteristic in the sample which is nothing but a subset of population.

Here, the concern is to estimate the percentage of parents who use cloth diapers.

He took a sample of 125 parents to enquiry whether or not they use cloth diapers.

So, the percentage of parents who use cloth diapers 9in the sampl is the statistic.

Answer: The percentage of parents who use cloth diapers in the sample is the statistic.

The LCM of two numbers in 2310 and their HCF.
is 30 . If one number is 210, find the other number.​

Answers

Answer:

The other number is 330

Step-by-step explanation:

The computation of the other number is shown below:

As we know that

HCF × LCM = Product of Two Numbers

So,

30 × 2310 = 210 × other number

Now

The other number is

= (30 ×  2310) ÷ 210

= 330

hence, the other number is 330 and the same is to be considered

We simply applied the above formula so that the correct answer could come

Answer:

why

Step-by-step explanation:

The area of the base of an 8-inch-tall cylinder is 36 inches2. What is the volume of this cylinder?

*Please make sure you show how you got the answer

Answers

Answer:

288 cubic imches

Step-by-step explanation:

[tex]V_{cylinder} = Area \: of \: base \times height \\ \\ V_{cylinder} = 36 \times 8 \\ \\ V_{cylinder} = 288 \: {inches}^{3} [/tex]

Which ordered pair is a solution of the equation y = –54x – 2?

A. (−8, 8)
B. (8, −8)
C. (−8, −12)
D. (1, −154)

Answers

Answer:

A

Step-by-step explanation:

(-8,8) is the solution of the equation y=-5/4x-2.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

y=-5/4x-2,

To find solution for the given equation, solve with the help of options,

(A) (-8,8)

8=-5/4(-8)-2

8 = 10-2

8 = 8

(-8,8) is the solution of the equation

(B) (8,-8)

-8=-5/4(8)-2

-8 = -10-2

-8 = -12

(8,-8) can not be the solution of the equation.

(C) (-8,-12)

-12 = -5/4(-8)-2

-12 = 8

(-8,-12) can not be the solution of the equation.

(D) (1, −15/4)

-15/4 = -5/4(1)-2

-15/4 = -13/4

(1,--15/4) can not be the solution of the equation.

(-8,8) is the solution of the equation.

To know more about Equation on:

https://brainly.com/question/187506

#SPJ2

Question 4
1 pts
What is the midpoint of the segment containing the endpoints (-3.3) and
05.1:

Answers

Answer:

1, 2  

Step-by-step explanation:

Given parameters;

   Endpoints  = (-3, 3) and (5, 1)

Unknown:

The midpoint of the segment = ?

Solution:

 The midpoint between two endpoints is given as;

         x[tex]_{m}[/tex], y[tex]_{m}[/tex] =( [tex]\frac{x_{1} + x_{2} }{2}[/tex] , [tex]\frac{y_{1} + y_{2} }{2}[/tex])

       x and y are coordinates

x₁  = -3

x₂ = 5

y₁ = 3

y₂ = 1

        x[tex]_{m}[/tex], y[tex]_{m}[/tex]  = [tex]\frac{-3 + 5}{2}[/tex], [tex]\frac{3+ 1}{2}[/tex]

       x[tex]_{m}[/tex], y[tex]_{m}[/tex] = 1, 2  

An analysis of several polls suggests that 60% of all Florida voters plan to vote for Anderson. A poll of 250 randomly selected Florida voters shows that 144 plan to vote for Anderson.

Required:
a. What is the probability of this result (i.e. 144 voters or less out of 250) happening by chance, assuming the aggregate poll model proportion of 60% is correct?
b. Does your result from part I indicate that the number of voters who plan to vote for Anderson has decreased? In other words, is this outcome unusual?

Answers

Complete Question

An analysis of several polls suggests that 60% of all Florida voters plan to vote for Anderson. A poll of 250 randomly selected Florida voters shows that 144 plan to vote for Anderson.

Required:

a. What is the probability of this result (i.e. 144 voters or less out of 250) happening by chance, assuming the aggregate poll model proportion of 60% is correct?

b. Does your result from part I indicate that the number of voters who plan to vote for Anderson has decreased? In other words, is this outcome unusual?(Recall that an unusual  event has a probability of 0.05 or less of occurring )

Answer:

a

[tex]P(p  <  \^p) =   0.2206[/tex]

b

It is not an unusual event

Step-by-step explanation:

From the question we are told that

    The population proportion is  p =  0.60

   The sample size is  n =  250

    The number that plans to vote for Anderson is  k =  144

Generally the mean of the sampling distribution is  

        [tex]\mu _{x} =  p =  0.60[/tex]

Generally the standard deviation is  

      [tex]\sigma  =  \sqrt{ \frac{p(1 - p )}{n} }[/tex]

=>    [tex]\sigma  =  \sqrt{ \frac{0.60(1 - 0.60 )}{250} }[/tex]

=>    [tex]\sigma  =   0.0310[/tex]

Generally the sample proportion is mathematically represented as  

         [tex]\^{p} =  \frac{k}{n}[/tex]

=>       [tex]\^{p} =  \frac{144}{250}[/tex]

=>     [tex]\^{p} = 0.576 [/tex]

Gnerally the probability of this result (i.e. 144 voters or less out of 250) happening by chance, assuming the aggregate poll model proportion of 60% is correct is mathematically represented as

  [tex]P(p  <  \^p) =  P(\frac{ p - \mu_{x}}{ \sigma }  <  \frac{ \^ p - \mu_{x}}{ \sigma } )[/tex]

=>     [tex]P(p  <  \^p) =  P(Z <  \frac{ 0.576 - 0,60}{ 0.0310} )[/tex]

=>      [tex]P(p  <  \^p) =  P(Z <  -0.77 )[/tex]

From the z-table  the probability of (Z <  -0.77)  is  

     [tex]P(Z <  -0.77 )  =  0.2206[/tex]

So

    [tex]P(p  <  \^p) =   0.2206[/tex]

Since

  [tex]0.2206 > 0.05[/tex] it implies that it is not an unusual  event

24⋅((3⋅2)−1)



14

4

24

144

Answers

Answer:

the answer is 24 im sure of it

pLeAse hurry i must finish right now
look at screenshot
please answer all of #2

Answers

Answer:

Sorry can't do this

Step-by-step explanation:

Answer:

uhhhhhhhhhhhhhhhhhhhhhhhhh 4

Step-by-step explanation:

Kari is building a rectangular garden bed. The length is 6 feet. She has 20 feet of boards to make the sides. Write and solve an inequality to find the possible width of her garden bed.

Answers

Answer:

ahe using 12 feet of boards and threre 8 ft of board left so i guess the with will be 4.

Step-by-step explanation:

6+6 =12 for the lenghth

4+4=8= for the with

From the sum of 3x +4y -3xy and 5x +3y -2xy subtract the sum of 2x +y – 3xy and 10x -9y -8xy.

Answers

Answer:

-4x + 16y + 3xy

Step-by-step explanation:

The sum of 3x + 4y - 3xy and 5x + 3y - 2xy is 8x + 7y - 5xy.

The sum of 2x + y - 3xy and 10x - 9y - 8xy is 12x - 8y - 11xy.

Subtract the sum of the second pair from the first pair by changing the sign of the subtrahend. The result is -4x + 16y + 3xy

i need help with this equation: p+9=-1

Answers

Answer:

p = - 10

Step-by-step explanation:

Step 1:

p + 9 = - 1           Equation

Step 2:

p = - 1 - 9        Subtract 9 on both sides

Answer:

p = - 10

Hope This Helps :)

Please need help thank you

Answers

Answer:

31825 is your answer. Hope that helps.

Answer:

Lydia´s address is 8 Cypress street.

Step-by-step explanation:

5 digit.

6 less than 7.

3 and 1 are the product.

Simplify them.

6 - 7 + 3 + 1 = 5

Simplify.

6 - 7 = -1.

Then Simplify.

-1 + 3 = 2.

Simplify.

2 + 1 = 3.

3 + 5 = 8.

Hope this helps.

Have a good night ma´ám/sir.

Be safe!

Read 3 integer numbers from the user; these numbers represent the lengths of 3 straight lines. From the 3 lengths, determine whether a triangle can be formed with the corresponding lines. If it is possible to form a triangle, determine whether the triangle is a right triangle or not. The rules to be used are: 1. To form a triangle where all lines’ ends meet (form vertices), the sum of the lengths of two sides must be greater than the length of the third side. This short video illustrates this concept: How to determine if the three sides make up a triangle. 2. Per the Pythagorean theorem: in a straight triangle, the square of the length of the longest side (the hypotenuse) is equal to the sum of the squares of the lengths of the other two sides. 3. The user can enter the lengths of each line in any order, i.e.: you may not assume that the first length is the longest or the smallest or the middle value.

Answers

Answer:

Written in Python

print("Enter three sides of a triangle: ")

length = []

for i in range(0,3):

    inp = int(input(""))

    length.append(inp)    

length.sort()

if length[1]+length[2] > length[0] and length[0] + length[2] > length[1] and length[0] + length[1] > length[2]:

    print("Triangle")

    if length[2]**2 == length[0]**2 + length[1] **2:

         print("Right Angled")

    else:

         print("Not Right Angled")

else:

    print("Not Triangle")

Step-by-step explanation:

This line prompts user for sides of triangle

print("Enter three sides of a triangle: ")

This line declares an empty list

length = []

The following iteration gets user input

for i in range(0,3):

    inp = int(input(""))

    length.append(inp)    

This line sorts user input

length.sort()

The following if condition checks if user input is triangle

if length[1]+length[2] > length[0] and length[0] + length[2] > length[1] and length[0] + length[1] > length[2]:

The following is executed is the if condition is true

    print("Triangle")

The following if condition checks if user input forms a right angled triangle

    if length[2]**2 == length[0]**2 + length[1] **2:

         print("Right Angled")

    else:

         print("Not Right Angled")

This is executed if user input is not a triangle

else:

    print("Not Triangle")

Angela earns $11.50 per hour. If she works more than 40 hours a week she earns double time. This week she worked a total of 48 hours. How much was her total weekly paycheck?

Answers

Answer:

11.50 x 40 regular hours is $460

double time is 11.50 x 2 = $23 an hour

She makes $23 an hour for 8 hours = $184

$460 + $184 = $644 paycheck

BAKING A recipe for 1 apple pie calls for 6 cups of sliced apples. How
many cups of sliced apples are needed to make 4 apple pies?

Answers

Answer:

24 cups of sliced apples

Step-by-step explanation:

6 multiplied by 4=24

hope this helps

(2fg)7 simplify the expression

Answers

Answer:

14 f g

Step-by-step explanation:

Multiply  7  by  2 .

Other Questions
"Take this order of shrimp linguine to table nine before it gets cold"! I it takes 12 mins to get up to 83 Celsius and it takes 14 mins to get to 120 Celsius how ng would it take to get to 100 Celsius which equation represents this sentence? one half the sum of a number and four is less than the quotient of five and the number Simon score 4x10^2 points in a game. Joe scored 2x10^3 points in the same game. whose score is higher? how much higher? hey what 4a + 5 - 7a = 35 Using the existing midpoints of each side of the triangle, create the three medians. What do you observe about the way the medians Intersect? A recipe says to use 4 cups of flour to make 54 cookies. What is the constant of proportionality that relates the number of cookies made, y, to the number of cups of flour used, x? 1.) 2p -4 > 16 2.) 7c +11 < -3 3.) m/5 +3 < -7 4.) -3z -9 > 12Solve and graph the following inequalities can someone help solve these 4 questions. Your answer2. Find the slope of the line that passes through each of the points. Makesure you simplify! *1 point(4,-2)and (10,-2)1/2-1/2O 01/6 Ter.Identify the property used in this equation:(-2) + 6 + 1 = 1 + 6 + (-2)Use the interactive tool tahyaluate the expression. Read and choose the option with the correct affirmative command for t to complete the sentence.________ de la casa a las ocho de la maana para hacer diligencias. Almorzamos a la una de la tarde; no llegues tarde. Short-term bank loans (Select all that apply.) usually have a lower interest rate than long-term debt. usually have a higher interest rate than long-term debt. are not frequently used by large corporations as a significant component of capital structure. are frequently used by large corporations as a significant component of capital structure. The author includes this statement to show that in the story called a girl named zippy Carbon-12 and Carbon-14 are elements that are isotopes of each other. What do Carbon-12 and Carbon-14 have in common ____is an example of a nation that uses a democratic republic type of government The price of one share of a companys stock declined $13.89 every day for 2.5 days. What was the stocks total decline in price?Which estimate uses compatible numbers to estimate the problem? What is the exact answer? What happens during deliberation in a criminal trial? A. The judge chooses a punishment that fits the crime. B. Lawyers on each side call on experts and witnesses. C. A court reviews the case to check for any legal errors. D. Jury members decide if the defendant is guilty or innocent. The probability of a tourist visiting an area cave is 0.70 and of a tourist visiting a nearby park is 0.60. The probability of both places on the same day is 0.40. The probability that a tourist visits at least one of these two places is rewrite the equation 10=1,000 with an exponet that makes it true . Where are most of Europe's agricultural fields are located?Group of answer choicesA.none of these answers is correctB.Along the Mediterranean SeaC.Northern European PlainD.In the coastal Nordic regions