A manufacturer produces a commodity where the length of the commodity has approximately normal distribution with a mean of 6.5 inches and standard deviation of 0.5 inches. If a sample of 46 items are chosen at random, what is the probability the sample's mean length is greater than 6.3 inches? Round answer to four decimal places.

Answers

Answer 1

The probablity that the sample's mean length is greate than 6.3 inches is0.8446.

Given mean of 6.5 inches,standard deviation of 0.5 inches and sample size of 46.

We have to calculate the probability that the sample's mean length is greater than 6.3 inches is 0.8446.

Probability is the likeliness of happening an event. It lies between 0 and 1.

Probability is the number of items divided by the total number of items.

We have to use z statistic in this question because the sample size is greater than 30.

μ=6.5

σ=0.5

n=46

z=X-μ/σ

where μ is mean and

σ is standard deviation.

First we have to find the p value from 6.3 to 6.5 and then we have to add 0.5 to it to find the required probability.

z=6.3-6.5/0.5

=-0.2/0.5

=-0.4

p value from z table is 0.3446

Probability that the mean length is greater than 6.3inches is 0.3446+0.5=0.8446.

Hence the probability that the mean length is greater than 6.3 inches is 0.8446.

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Related Questions

Area of a room is 500m square. The cupboard takes 6% of the room’s area
a:what is the area of the cupboard
b:The table is 1/10 of the room. Calculate the area of the table.
c: bed has an area of 110m square. What is the percentage of the room is the bed?

Answers

Step-by-step explanation:

step 1. 500(.06) = 30m^2 (area of cupboard)

step 2. 500(1/10) = 50m^2 (area of table)

step 3. 110/500 = .22 = 22% (percentage of the bed area in the room).

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I got 8/3 because 4/8 would simplify to 1/2 and the line would be flatter

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g(x) = -x^2 + 6x

Answers

-4x+-x^2+6x = -x^2 + 2x

Please help! Thank tou

Answers

Answer:

220mL

780mL

600mL

480mL

Step-by-step explanation:

500-280=220

500+280=780

280/8=35, so 35 mL is in one L, 35x5=175

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750-280=480

Answer:

Step-by-step explanation:

Use the relationship shown on this graph.

Answers

Answer:

B. y=50x

Step-by-step explanation:

We can see the y intercept is 0 because the line starts at 0.

To find the slope, we can look at the first point. It is at (1, 50).

Slope=rise/run or change in y/change in x=50/1=50.

Lucas and Mitchell were asked to add the numbers 3.54 and 12.09.


Lucas stated that he completed the addition problem by using the following method:

First, I broke the numbers apart. I broke 3.54 into 3.00+0.50+0.04 and 12.09 into 12.00+0.09.

Then, I combined 0.04 and 0.09 to get 0.13.

Next, I combined 0.13 and 0.50 to get 0.63.

Then, I combined 3.00+12.00 to get 15.00.

Finally, I added the decimal to get 15.63.

Mitchell stated that he completed the addition problem by using the following method:

First, I added the whole numbers to get 3.00+12.00=15.00.

Next, I added the numbers in the tenths place, 0.50+0.00=0.50.

Then, I added the numbers in the hundredths place, 0.04+0.09=0.013.

I then added 0.50 and 0.013 to get 0.513.

Lastly, I added the decimal to the whole number to get 15.513.

Determine if Lucas and/or Mitchell had a flaw in their method. If they did, correct the flaw(s) so that both the methods used are correct. PLZ ANSWER THE QUESTION!

Answers

Answer:

0.22

Step-by-step explanation:

HELPPP!!!! 50 points​

Answers

Answer:

5. 26

6. 11

7. 5, 3, 9, 5 (left to right)

Step-by-step explanation:

5. Plug in the numbers

6. 2x+9=31, 2x=22, x=11

7. Plug numbers in

Hope this helps and please give me Brainliest!

Answer:

5. 26

6. 11

7. 5, 3, 9, 5 (left to right)

Step-by-step explanation:

5. Plug in the numbers

6. 2x+9=31, 2x=22, x=11

7. Plug numbers in

Step-by-step explanation:

Somebody help me please

Answers

Answer:

The second one

If the triangle are similar, write a similarity
statement and tell whether you would use
AA similarity, SAS similarity, or SSS
similarity. If not similar, explain why.
Explanation

Answers

Answer:

The triangles are similar due to AAA

Step-by-step explanation:

'The triangles ABC and DBE are similar because they have a common angle < B, and also angle < E is marked as congruent to angle < A. Then the third angle <C is going to be congruent to angle D as well due to the property of addition of internal angles of a triangle must add to 180 degrees.

Then the triangles are similar due to AAA

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Infinite solutions
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(9,2)

Answers

Answer is -Infinite solution

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Answers

It has one solution which is X=5

Hope this helps

Have a great day/night

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An 8th-grade class washed cars and pets to raise money for a children’s hospital. They charged $10 to wash a car and $5 to wash a pet. They raised $1,600 in one week, washing a total of 201 cars and pets. How much more money was raised washing cars than pets?
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Answers

Answer:

780

Step-by-step explanation:

the answer is 780

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Step-by-step explanation:

The measure of AOC is 90. Find the value of x.

Answers

Answer:

x = 10 degr

Step-by-step explanation:

3x + 46 + 14 = 90

3x + 60 = 90

3x + 60 - 60 = 90 - 60

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Answer:

Step-by-step explanation:10

Solve for x.
5/7x + 1/7= 63

Answers

Answer:

x=88

Step-by-step explanation:

Answer: x=88

Step-by-step explanation:

WHERE ARE THE BLACK DOTS LOCATED?!?

Answers

Answer:

The first one (on the bottom) is (2, -3)

The second one (the top one) is (-1, 3)

Answer:

(-1, 3) and (2, -3)

Step-by-step explanation:

The x-value always goes first and the second is always the y-value.

anlatarak cozmicekseniz cevaplamayin:) ​

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Wish I could help! But maybe one day I can and hopefully there’s someone on here that and assist you!

M is the midpoint of AB. If A ( 4,0) and M (2, 1.5), then find the coordinates of B

Answers

Answer:

Step-by-step explanation:

(4 + x)/2 = 2

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y = ___

Answers

A a. AAnswer:

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perrys bikes rents bikes for $18 plus $4 per hour. Lea paid $42 to rent a bike for how many hours did she rent the bike?

Answers

she rented the bike for 6 hours

Answer:

5 hours 30 min

Step-by-step explanation:

Which of these division problems have the same quotient as 12.3 divided by 0.4? Check all that apply.

A. 123 ÷ 4
B. 1.23 ÷ 0.4
C. 1,230 ÷ 40
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Answers

Answer:

The answer is A and C

Step-by-step explanation:

The answer is A because 12.3 multiplied by 10 is 123, and 0.4 multiplied by 10 is 4.

12.3 * 10 = 123

0.4 * 10 = 4

So, this shows that this equation is the same as 12.3 divided by 0.4

The answer is C because 12.3 multiplied by 100 is equal to 1230, this is the same for 0.4

12.3 * 100 = 1230

0.4 * 100 = 40

So, the answer is both A and C.

Hope this helps! :)

Answer:

12.3 divided by 0.4 is 30.75

Step-by-step explanation:

You then go to letter A and 123/4 is also 30.75

but you go through the rest of the choices just in case.

B is 3.075 so that is incorrect

C is 307.5 so that is also incorrect

D is 3075 and that is incorrect and not 30.75.

Therefore your answer is A.

30.75 = 30.75.

Hope this helps :)

Write a polynomial in standard form that represents the area of the shaded region.

Answers

Answer:

Area of the smaller square is x * x, which is x^2

Area of the larger square is (x + 7)(x + 7), which is x^2 + 14x + 49

The area of the shaded area = Area of the larger square - Area of the smaller square

Area of the shaded region = x^2 + 14x + 49 - x^2

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Hope this Helped

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Answer:

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Answer:

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Answers

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Hey there!

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Answers

Answer:

12/49  

Step-by-step explanation:

First write 2 1/3 as a improper fraction, to do that, first multiply the 2 by the denominator, then add it with the 1, which will result in 7/3

when doing division of fraction you have to remember this, KFG

KFG: Keep Flip Change

you keep the first number or fraction, which is 4/7

then you flip the sign, so you change division in to multiplication

after that, you change or write the reciprocal of the second number or fraction, so 7/3 will be 3/7

Now the equation is

4/7 times 3/7, which is 12/49  

WHATS THE ANSWER TO THIS PLS TIME IS RUNNING OUT

Answers

Answer:

ectangles, rhombuses (also called rhombi) and squares are all more specific versions of parallelograms, also called special parallelograms. A quadrilateral is a rectangle if and only if it has four right (congruent) angles.

Step-by-step explanation:

i hope it's right

2. Pierre works full time and is paid an hourly rate of $12.50 for 35 hours a week. He is paid for 52
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Answers

Answer:

$22,750

Step-by-step explanation:

First, find out how much Pierre is paid per week: $12.50 x 35 -> $437.5/week

Then, multiply to find how much he is paid the whole year: $437.5 x 52 -> $22,750

I need help with this​

Answers

Answer:

3.5

Step-by-step explanation:

the median is the dotted lines.

median of girls height: 65.5

median of boys height: 69

69-65.5=3.5

Given the graph, what is in initial value of the function?

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A coordinate grid is shown with x and y axes labeled from 0 to 7 at increments of 1. A straight line joins the ordered pair 0, 1 with the ordered pair 6, 7.


a
1

b
5

c
6

d
7

Answers

Answer:

6

Step-by-step explanation:

I have a big thick lookin brain

Im not completely sure so please dont get upset with me. : )

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