The manufacturer of a certain brand of aluminum foil claims that the amount of foil on each roll follows a Normal distribution with a mean of 250 ft2 and a standard deviation of 2 ft2. To test this claim, a restaurant randomly selects 10 rolls of this aluminum foil and carefully measures the mean area to be ¯ = 249.6 ft2
Find the probability that the sample mean area is 249.6 ft2 or less if the manufacturer’s claim is true

Answers

Answer 1

Answer:

Given that the manufacturers claim is true, the probability that the sample mean area is 249.6 ft.² or less is 0.42074

Step-by-step explanation:

The manufacturer claims that mean amount of foil on each roll, μ = 250 ft²

The standard deviation of the measured amount of foil per roll, σ = 2 ft.²

The number of rolls tested by the restaurant, n = 10 rolls

The mean measured by the restaurant, [tex]\overline x[/tex] = 249.6

Taking the sample means as individual score, we have;

The z-score, of the sample mean is given as follows;

[tex]z=\dfrac{\overline x -\mu }{\sigma }[/tex]

At [tex]\overline x[/tex] = 249.6, we have;

z = (249.6 - 250)/2 = -0.2

Therefore, the probability for a mean less than or equal to 249.6, we have;

The probability, P = P(z < -0.2) = 0.42074

The probability that the sample mean area is 249.6 ft.² or less given that the manufacturers claim is true, P = 0.42074.


Related Questions

use the graph f(x)=-x^2+8x+20 to determine the values of m for which m= -x^2+8x+m=0 will have two positive roots​

Answers

Answer:

first root -2 and the second is 10

Step-by-step explanation:

delta=b squared-4ac=64-4(-1)(20)=144>0

then we have 2 +roots

x1= -b+ radical delta/2a =-2

x2=-b - radical delta/2a=10

The value of m for which -x² +8x+m=0 to have two positive roots is m ≤ 0.

What is a polynomial?

A polynomial is an expression that involves the addition, subtraction and multiplication of variables.

A quadratic polynomial is a polynomial of degree 2.

Given that:

f(x)=-x² + 8x + 20

To determine the values of m for which -x² +8x+m=0 would have two positive roots​

For -x² +8x+m=0 to have two positive roots, m ≤ 0.

The value of m for which -x² +8x+m=0 to have two positive roots is m ≤ 0.

Find out more on polynomial at: https://brainly.com/question/2833285

On a hospital floor, 16 patients have a disease with a mortality rate of 0.1. Find the probability that two of them die. Round to three decimal places

Answers

Answer:

The probability that two of them

die is 0.257

Step-by-step explanation:

From the question, we have that the mortality rate is 0.1

So the probability that they will survive is 1-0.1 = 0.9

Now, we want to check that two will die

We are going you use the Bernoulli approximation of the Binomial theorem as follows

= nCr * p^n * q^(n-r)

where n = 16

r = 2

P = 0.1

q = 0.9

Substituting these values;

14 C 2 * 0.1^2 * 0.9^12

= 0.257

Fill in the blanks with the correct words:
An event that has probability O is said to be
An event that has probability 1 is said to be

Answers

Answer:

Impossible; certain to happen

Step-by-step explanation:

Probability = 0 applies to an event which cannot happen.  Example: roll a die and get a 7.

Probability = 1 applies to an even which is certain to occur.  Example: roll a die and get a number less than 8.

Which inequality is graphed?
1. 2<x
2. 2>x
3. 2<_x
4. 2>_x​

Answers

Answer: 3

Step-by-step explanation:

You deposit money in an account that pays 5% interest compounded yearly. Find the balance after 5 years for the given initial amount (This is not multiple choice, you need to do a, b, and c)
a. $250
b. $300
c. $350
** Round to the NEAREST whole number**

Answers

B I really believe you just got to read it carefully
B your answer would be that you have 300 left

HALP PLEASE!!!!!!!! I RRALLY NEED TO GET THIS DONE​

Answers

Answer:

E = (-3a, -2b)

O = (3a, 2b)

M = (3a, -2b)

Step-by-step explanation:

A cube has a volume of 27 mm. What is the length of each edge of the cube? Plz help

Answers

Answer:

The length of each edge of the cube is 3 mm

Step-by-step explanation:

A cube has a volume of 27 mm.

Volume of cube = l³

l³ = 27 mm

l = 3 mm

Thus, The length of each edge of the cube is 3 mm

-TheUnknownScientist

I need this solved! FAST! thank you

Answers

Answer:

188.24  (rounded)--- 188.2

Step-by-step explanation:

You want to first find the area of all the the different shapes you have...

you have 2 semicircles   A=  πr²/2    (because it is /2 you don't really need that because in the end you are going to *2 so just make the equation A= πr²)

you have a rectangle A= b*h

you have a triangle A = b*h/2

Semicircles:  A= πr²   =     (3.14) 4²   =  (3.14*16)           =      50.24

rectangle:  A = b*h     =      12*8              =      96

Triangle:   A = b*h/2         =   12 * 7/2         =      84/2        =       42

then you add them up

50.24 + 96 + 42

= 188.24

Evaluate the function.

Answers

Answer:

Step-by-step explanation:

Nothing further can be done with this topic.  

f ( x ) = 3 x 2 − 10 x − 9

Sandra bought a pair of leather boots that were marked down by 20%. The original cost of the boots was $150. What did Sandra pay for the boots

Answers

Answer:

130 maybe

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

It is 120 because if you do 20% of 150 that's 30 so subtract that with 150 leaving you 120.

What’s the answer towards this question ?

Answers

Step-by-step explanation:

hope this help have a great day

How many yards are equal to 144 inches? (15 points)

Select one:
a. 4 yards
b. 12 yards
c. 36 yards
d. 5,184 yards

Answers

Answer:

A- 4 yards

Step-by-step explanation:

Hope this helps!

Have a nice day <3

After changing the unit of 144 inches into yards the number equivalent to 144 inches is 4 yards. Hence option (a) is true.

Given that,

Change the number 144 inches into yards.

Used the concept of measurement unit which stated that,

A measurement unit is a standard quality used to express a physical quantity. Also, it refers to the comparison between the unknown quantity with the known quantity.

Since we know that,

1 yards = 36 inches

1 inch = 1/36 yards

So, we can change the number 144 inches into yards,

1 inch = 1/36 yards

144 inches = 144/36 yards

= 4 yards

Therefore, 144 inches is equivalent to 4 inches.

Option (a) is true.

To learn more about the measurement unit visit:

https://brainly.com/question/777464

#SPJ6

DOES ANYONE KNOW WHAT HAPPENS IF YOU CLICK THE LINKS?

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Answer:

Your personal information is stolen. Stay away from them under all circumstances.

hey !! what's the answer ??

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Answers

Answer:

39

Step-by-step explanation:

sqrt(39*13*13)

= sqrt(1521)

= 39

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Answers

E. You’re a BUUUUMMMMMMM

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Answers

Answer:

$1.50

Step-by-step explanation:

12/8 = 1.50

Answer:

each taco cost $1.50

Step-by-step explanation:

12÷8=1.50

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Answers

Answer:

its 56

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

In 500 rolls he can expect to get this outcome about  27.77...%* 500 =  139 times.

Which two teams have equivalent
100
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12
8
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14
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Answers

knights!sorry mate i’m kinda trash

Answer:

knights and leopards

Step-by-step explanation

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Answers

Answer:

C ,288

Step-by-step explanation:

hope this helps

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Answers

Answer:

u=-2

Step-by-step explanation:

Let's solve your equation step-by-step.

11u=−22

Step 1: Divide both sides by 11.

11u

11

=

−22

11

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Answer:

u=−2

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Answers

Answer:

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Step-by-step explanation:

please amrk this answer as brainliest

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Solve by factoring
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Answers

sorry I answered wrongly

Answer:

Shelly's age  is less than 21

Step-by-step explanation:

S+15 < 36

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help asap!! i’ll give brainliest!

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Answer:

-4a

Step-by-step explanation:

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Answers

Step-by-step explanation:

la natalidad hace que la poblacion aumente

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Answers

Answer:

false

Step-by-step explanation:

False.................

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Answer:

What

Step-by-step explanation:

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