Answer:
y = 2
Step-by-step explanation:
A manufacturing process is designed to produce bolts with a 0.75-inch diameter. Once each day, a random sample of 36 bolts is selected and the bolt diameters recorded. If the resulting sample mean is less than 0.730 inches or greater than 0.770 inches, the process is shut down for adjustment. The standard deviation for diameter is 0.04 inches. What is the probability that the manufacturing line will be shut down unnecessarily
Using the normal distribution and the central limit theorem, it is found that there is a 0.0028 = 0.28% probability that the manufacturing line will be shut down unnecessarily.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n have standard deviation given by [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 0.75 inches, thus [tex]\mu = 0.75[/tex].Standard deviation of 0.04 inches, thus [tex]\sigma = 0.04[/tex]Sample of 36, thus [tex]n = 36, s = \frac{0.04}{\sqrt{36}} = 0.0067[/tex].The probability of being shutdown is the probability of a sample mean less than 0.73 inches or more than 0.77 inches. They are the same distance to the mean(0.02), thus, considering the Central Limit Theorem:
[tex]z = \frac{0.02}{s}[/tex]
[tex]z = \frac{0.02}{0.0067}[/tex]
[tex]z = 2.99[/tex]
The probability is P(|z| > 2.99), which is 2 multiplied by the p-value of z = -2.99.
z = -2.99 has a p-value of 0.0014.
2(0.0014) = 0.0028
0.0028 = 0.28% probability that the manufacturing line will be shut down unnecessarily.
A similar problem is given at https://brainly.com/question/25212662
Estimate and then solve 3397÷59
A football coach must order 9 new jerseys. The jerseys cost $23.79 each.
What is the total cost for the jerseys?
Answer:
9 x 23.79 = $214.11
Compute the difference quotient
Answer:
Step-by-step explanation:
f(x) = -x^2+6x-2
-x^2+6x-2 here we use work sheets or log books
At a charity fund-raiser, adult tickets were sold for $8 each and children's tickets were sold for $3 each. Write an algebraic
expression for the total amount of money raised from the sale of tickets. How much money was raised if the fundraiser sold
240 adult tickets and 378 children's tickets?
Based on the cost of the adult tickets and the children's ticket, the expression that can find the amount raised is 8x + 3y.
Also if those number of tickets were sold, the amount realized would be $3,054.
The total amount raised can be found as:
= (Number of adult tickets x price of adult tickets) + (Number of children's tickets x price of children's tickets)
Assuming the adult tickets are x and the children's tickets are y, the equation would be:
= (x × 8) + (y × 3)
= 8x + 3y
If 240 adult tickets and 378 children's tickets are sold, the amount realized would be:
= 8x + 3y
= (8 x 240) + (3 x 378)
= $3,054
In conclusion, the relevant expression is 8x + 3y and the amount raised would be $3,054.
Find out more at https://brainly.com/question/7268387.
The product of the Roots of the quadratic equation 2x² + 5x - 7 = 0 is
Product of roots
[tex]\\ \sf \longmapsto \dfrac{c}{a}[/tex]
[tex]\\ \sf \longmapsto \dfrac{-7}{2}[/tex]
A gardener grows sunflowers and records the heights, y , in centimeters, each day, x . The table shows the gardener’s data.
Answer:
Explanation is in a file
Step-by-step explanation:
The equation that represents the relation in this situation is: y = 3x + 8
What equation does represent the relationships between x and y?The relationship between days (x) and height (y) is a linear one. Each day, the height increases by 3 centimeters, and the initial height is 8 centimeters (y-intercept).
This can be represented by the equation y = 3x + 8, where 3 is the rate of increase per day and 8 is the initial height. This equation accurately models the given data points: (1, 11), (2, 14), (3, 17), and (4, 20).
Note: This question is incomplete. Here is the complete information:
Which equations represents the relationships between x and y?
Learn more about equations in: https://brainly.com/question/10724260
#SPJ3
The sum of two numbers is −12.6 , identify two negative addends that make the statement true.
Answer:
–7.4 and –5.2
Solution:
–7.4 + –5.2 = –12.6
Message:
I hope this helps
What is 41687 rounded to the nearest Highest Place
Answer:
40,000
Step-by-step explanation:
A grocery store offers its customers A discount card that gives 15% off all purchases, p. The card costs $12 a year. What amount would a customer need to purchase each year to save money?
Step-by-step explanation:
customer need to purchase each year to save money = 100/15 × $12
= 1200/15
= $80
Answer:
More than $80Step-by-step explanation:
To save money, the customer needs to save the cost of the card first.
Solve it by ratios:
15% = 12100% = xSolve for x:
15x = 12*100x = 1200/15x = 80or security reasons, a company will enclose a rectangular area of 11,200 m2 in the rear of its plant. One side will be bounded by the building and the other three sides by fencing. If the bounding side of the building is 150 m long and 300 m of fencing will be used, what will be the dimensions of the rectangular area?
The dimensions of the rectangle are 150 m and 75 m respectively.
Let x be the length of the rectangular area and y be the width of the rectangular area.
Its area A = xy
Given that its area is 11,000 m², xy = 11000 m² (1)
Also, since the bounding side of the building is 150 m long and the fencing is 300 m, the perimeter of the rectangular area is P = 150 m + 300 m = 450 m.
Also, the perimeter of the rectangular area is P = 2(x + y)
Since P = 450 m
2(x + y) = 450 m
x + y = 225 m (2)
Since the bounding side of the building represents one dimension of the rectangle, x = 150 m.
Substituting x into (2), we get the other dimension
x + y = 225
150 + y = 225
y = 225 m - 150 m
y = 75 m
So, the dimensions of the rectangle are 150 m and 75 m respectively.
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Does the following system of equations
have one, none, or infinite solutions?
-4x + y = 6
-5x – y = 21
Answer:
Iv'e checked both of them and they have NO solutions so nyour answer is (None)
Step-by-step explanation:
3 3/4 × 2 10/11 Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
10 10/11
Step-by-step explanation:
Answer:
10 10/11
Step-by-step explanation:
3 3/4 × 2 10/11
15/4 * 32/11
480/44
120/11
10 10/11
which of the following is true of the angle shown
the measure of the angle is greater than 360
the angle is not in standard position
the terminal side of the angle lies in quadrant 2
the angle can be measured in radians only
Answer:
the angle is not in standard position
I need help with Special Right Triangles. Thanks :)
Answer: c
Step-by-step explanation:
sin(45) = [tex]\frac{12}{AB}[/tex]
sin(45) = [tex]\frac{\sqrt{2} }{2}[/tex]
so [tex]\frac{\sqrt{2} }{2} =\frac{12}{AB}[/tex]
[tex]AB = \frac{24}{\sqrt{2} }[/tex]
[tex]AB = (\frac{24}{\sqrt{2} }) (\frac{\sqrt{2} }{\sqrt2} } )[/tex]
[tex]AB = \frac{24\sqrt{2} }{2}[/tex]
[tex]AB= 12\sqrt{2}[/tex]
Please give me a brainliest answer
[tex]\\ \sf\longmapsto cos45=\dfrac{CB}{AB}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{\sqrt{2}}=\dfrac{12}{AB}[/tex]
[tex]\\ \sf\longmapsto AB=12\sqrt{2}[/tex]
hhhhhhhhhhheeeellllpppppp me
Answer:
ooo acellus its A
Step-by-step explanation:
Cual es el ángulo que equivale a 4 ángulos rectos?
ayus lng ako hahaha hshshs
Pls help due in 10 minutes
Answer:
here is your answer hope it helps you
Which is the missing factor that makes the equation true?
___ 1.1 = 0.22
A.0.02
B.0.2
C.2
D.20
The missing factor that makes the equation true is 0.2.
According to the question;
We are required to determine the missing factor that makes the equation ___ 1.1 = 0.22 true.Let the missing factor be represented as x.
x × 1.1 = 0.22In essence; by dividing both sides of the equation by 1.1; we have;
x = 0.22/1.1x = 0.2Read more:
https://brainly.com/question/21335695
anyone have the answer?
Answer:
50.3 (rounded) I think? Could be wrong, however, it's what I got
given the right triangle ABC with the altitude BD drawn to hypotenuse………. please help asap i’ve failed this so many times
Answer:
plz mark me as a brainliest
What is the time in minutes, taken to cover 8.1
km at an average speed of 5 m/s?
Answer:
27 minutes
Step-by-step explanation:
(8.1 km)×(1000 m)/(1 km)/(5 m/s)×(1 min/(60 s) = (8.1×1000)/(5×60) min8100/300=27 minWhich fraction has a repeating decimal as its decimal expansion?
Grandpa has a barrel of apples. 2/5 of the apple are rotten. 24 of the apples are good. How many apples are there in total?
Answer:
40 Apples
Step-by-step explanation:
3/5 of the apples are good so divide 24 by 3 which is 8, then multiply 8 by 2 which is 16, add 24 and 16 together to get 40. Let me know if I'm wrong.
Moly has 83.50 in her savings account.she deposits 15 every week
Answer:
she will spend 5 weekings taking out mobey and with 13.50 left over
Step-by-step explanation:
I need to learn about percent, proportion, and mixture word problems
Answer:
Percent:
There are many formulas for percentage problems. You can think of the most basic as X/Y = P x 100. The formulas below are all mathematical variations of this formula.
X and Y are numbers and P is the percentage:
Find P percent of X
Find what percent of X is Y
Find X if P percent of it is Y
Mixture:
Solving a percent mixture problem can be done using the equation Ar = Q, where A is the amount of a solution, r is the percent concentration of a substance in the solution, and Q is the quantity of the substance in the solution.
Proportion:
Many "proportion" word problems can be solved using other methods, so they may be familiar to you. For instance, if you've learned about straight-line equations, then you've learned about the slope of a straight line, and how this slope is sometimes referred to as being "rise over run". But that word "over" gives a hint that, yes, we're talking about a fraction. And this means that "rise over run" can be discussed within the context of proportions.
Step-by-step explanation:
Hope This Helps!
the table shows the number of weeks of vacation employees receive each year based in the number of years they have been employed what does v(15)=5 mean in terms of the problem
Answer:
A worker with 15 years of service gets 5 weeks of vacation each year.
Step-by-step explanation:
4th option
solve pls brainliest
Answer:
162
Step-by-step explanation:
don't you have calculator app on your phone??
Answer:
bru its it 32 a
Step-by-step explanation:
You have been directed to trim $10,000 from the monthly warehouse
told that you cannot reduce the costs for HVAC, refrigeration, and ligh
expense must be cut significantly?
A. Water
B. Copiers
C. Computers
D. Lights
Answer:
You have been directed to trim $10,000 from the monthly warehouse
told that you cannot reduce the costs for HVAC, refrigeration, and ligh
expense must be cut significantly?
A. Water
B. Copiers
C. Computers
D. Lights
What is answer to 2 + 3m =
You can't really do anything with it cause it's fully simplified
Answer:
Nothing you can do because it is already simplified. So yea
Step-by-step explanation: