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
A photograph has a length that is 6 inches longer than its width, x. So its area is given by the expression x(x+6) square inches. If the area of the photograph is 112 square inches, what is the width of the photograph?
The width of the photograph is __inches.
Karen is joining a book club. To join, she must buy two books, and then she will get one free book. The following are the prices for the 8 books being offered: A. $29.50 E. $16.25 B. $25.00 F. $19.98 C. $18.00 G. $49.00 D. $39.50 H. $17.98 Karen wants to select her books with the maximum dollar value and yet pay as little as possible. What three books should she select? A) A, C, D
B) A, B, G
C) C, E, H
D) E, G, H
Answer:
the answer are is c,e,h because they have low prices
Estimate the difference by rounding each number to the nearest whole
367.2-294.8
A. 72
B.72.4
C.73
D.80
Answer:
A. 72
Step-by-step explanation:
367.2 -> 367
294.8 -> 295
367
- 295
____
072
if you weren't estimating you would get B because you wouldn't round the numbers.
since the question says to round and then estimate, the answer should be A.
A car is traveling at a steady speed. It travels 1 3/4 miles in 2 1/3 minutes. How far will it travel in 25 minutes? In 1 hour?
Answer: They would travel 17.25 miles in 23 minutes and 45 miles in 1 hour.
Step-by-step explanation:
If you divide 1 3/4 by 2 1/3 you get. 0.75 which is how far the car will travel each minute and then you can just multiply that number by however many minutes there are.
HELPPPPPPPPPPPP PLEASEEEE
Answer:4
Step-by-step explanation:
Please help me I need help
Please help Giving 15 points
Answer:
you said you're giving 15 points but its 8
is 0 a natural number or a whole number
Answer:
O is a whole number.
Step-by-step explanation:
Answer:
0 is not a natural number, it is a whole number.
Step-by-step explanation:
Negative numbers, fractions, and decimals are neither natural numbers nor whole numbers. N is closed, associative, and commutative under both addition and multiplication (but not under subtraction and division).
Homework help please
Answer:
h=-136
Step-by-step explanation:
..............
Point C is located at ( -6,5). Point D is located at (-2, y). The
* distance between points C and D is 5 units. Find a possible y
value for point D.
Select all possible answers.
Pick up to 0 answers.
А
1
B. 2
C. 5
D. 8
E 9
Answer:
Step-by-step explanation:
yes cdrj
ejkfkj
ennejw
solve pls brainliest
Answer:
4.5341 < 6.9 < 6.906 < 6.96
Step-by-step explanation:
4.5341 is closer to 0 than 6.96 is.
Find the quotient or 4/5 and 6/7 give ur answer as a fraction in simplest form
Answer:
14/15
Step-by-step explanation:
Let me know if i got it right if not I'm sorry :(
The required quotient would be 14/ 15 which is a fraction.
What is the Quotient?A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.
We have been given that two numbers are 4/5 and 6/7
To determine the quotient or 4/5 and 6/7
⇒ 4/5 ÷ 6/7
⇒ 4/5 / 6/7
Reciprocal the term of denominator,
⇒ 4/5 × 7/6
Apply the multiplication operation,
⇒ 28 / 30
Reduce the above fraction to the simplest form
⇒ 14/ 15
Therefore, the required quotient would be 14/ 15 which is a fraction.
Learn more about the quotient here:
brainly.com/question/27796160
#SPJ2
What is the slope of 3x+4y=−2?
Answer:
subtract the 3x from one side and put in the other
4y = -3x -2
then divide both sides by 4
y= -3/4x -1/2
so the slope is-3/4
true or false, when graphing a linear Inequality in two variables, the inequality symbol " < " states to use a broken line.
Answer:
Ture I tink
Step-by-step explanation:
Find the slope and y intercept of the line 3x+2y=-6
Answer:
Step-by-step explanation:
Slope - -3/2
y-intercept- (0,-3)
Help me please i've been stuck on this question for hours.
Answer:
a) x^3 b) y^5
Step-by-step explanation:
you can combine the x's and y's to make a exponent equal to the number of x's or y's.
A city has a population of 280,000 people. Suppose that each year the population grows by 4.75% . What will the population be after 7 years ? Use the calculator provided and round your answer to the nearest whole number.
CLASS 6 MATHS!!!! HELP ME PLEASE!!!!!!!
Step-by-step explanation:
[tex] \\ 20. \: \: ( \frac{ - 3}{4} )(4\frac{1}{6} )[/tex]
[tex] \\ = \frac{ - 3}{4} \times \frac{25}{6} [/tex]
[tex] \\ = \frac{ - 25}{8} [/tex]
[tex] \\ = - 3.125[/tex]
[tex] \\ 21. \: \: ( - 3\frac{7}{8} )( - 5\frac{3}{4} )[/tex]
[tex] \\ = \frac{ - 31}{8} \times \frac{ - 23}{4} [/tex]
[tex] \\ = \frac{713}{32} [/tex]
[tex] \\ = 22.28125[/tex]
katryn owes her father $25.write this number as an integer.
Answer:
-25
Step-by-step explanation:
When you owe someone something, in integers, your answer is in the negative.
Quickly answer number 10 text only no fonts (100 points) mark brainliest
25
have a great day! :3
Answer:
Hello again the square root of 625 is 25
Help thank you so very much
Answer:
x-0 12
Step-by-step explanation:
i hope cant help p please follow me in brainly and hearts and give me a star
Please help me figure this out.
Zaby does 15 Joules of work to push the pencil over 1 meter. How much force did he use?
Find g(x) for each x value in the table
Answer:
-2 = -2/7
-1= -1/7
0=0
1= 1/7
2= 2/7
Step-by-step explanation:
it gives you a function of 1/7 so you multiply it by x and u get the g(x) also know as Y
Answer quickly! [tex]x^{2} = 6[/tex]
[tex]x = \pm \sqrt{6}[/tex]
Who can help me with this entire page?
Answer:
I'm not entirely sure what the question is but every thing under 12.5 is closer to 12, everything 12.5 and upwards like 12.87 would be closer to 13
Dilate the figure by the scale factor. Then enter
the new coordinates.
K = 2
Answer:
A = (-6, 4)
B = (2,2)
C = (-2, 2)
Step-by-step explanation:
If a coordinate (x, y) is dilated by a factor of k, the resulting coordinate will be expressed as (kx, ky). Note that each coordinate is multiplied by the scale factor Given the coordinates (-3,2),(1,1)(-1,-1), if they are dilated by a factor of 2, the resulting coordinate will be;
A = (2(-3), 2(2)) = (-6, 4)
B = (2(1),2(1)) =(2,2)
C = (2(-1), 2(-1)) = (-2, 2)
Find the next term in the geometric sequence that is calculated with a common ratio of 4 if the current term is 4
Answer:
16
Step-by-step explanation:
Multiply the term (4) by the common ratio (4)
4 * 4 = 16
Unit 3 parallel and perpendicular lines homework 2 please help quickly don’t understand front page
Answer:
this statement is confusing me
Step-by-step explanation:
cause I don't understand it
PLEASE, I need help ASAP !
Answer:
I'm not 100% sure but I think it's C.
it might also be B. it's one of those 2 for sure but I'm like %80 sure it’s C.
Step-by-step explanation:
please let me know if im right or wrong....