Given that the weights of bags of potato chips are normally distributed with an average weight of 16 ounces and a standard deviation of 0.4 ounces, find the following probability.

That a randomly selected bag weighs between 15.6 ounces and 16.4 ounces
That a randomly selected bag weighs between 15.2 ounces and 16.8 ounces.
That a randomly selected bag weighs less than 14.8 ounces.

Answers

Answer 1
help me please!!!!!!!!!!!!
Answer 2

probability of a randomly selected bag weighing between 15.6 ounces and 16.4 ounces is 0.68269.

probability of a randomly selected bag weighing between 15.2 ounces and 16.8 ounces is 0.9545.

probability of a randomly selected bag weighing less than 14.8 ounces is 0.0013499.

What is Z-Sore?

The relationship between a value and a set of values' mean is described by the statistical measurement known as the Z-score. Standard deviations from the mean serve as a unit of measurement for the Z-score. A Z-score of zero means the data point's score is the same as the mean score.

Given, Given that the weights of bags of potato chips are normally distributed with an average weight of 16 ounces and a standard deviation of 0.4 ounces. thus,

μ = 16

σ = 0.4

for randomly selected bags weighing between 15.6 ounces and 16.4 ounces

x₁ = 15.6

x₂ = 16.4

Z score = ( x - μ)/σ

z₁ = (15.6 - 16) / 0.4

z₁ = -1

z₂ = (16.4 - 16)/ 0.4

z₂ = 1

From the table of normal distribution (z²)

the probability of getting the value between -1 to 1 is = 0.68269

for randomly selected bags weighing between 15.2 ounces and 16.8 ounces

x₁ = 15.2

x₂ = 16.8

Z score = ( x - μ)/σ

z₁ = (15.2 - 16) / 0.4

z₁ = -2

z₂ = (16.8 - 16)/ 0.4

z₂ = 2

From the table of normal distribution (z²)

the probability of getting the value between -2 to 2 is = 0.9545

for randomly selected bags weighing less than 14.8 ounces.

x = 14.8

Z score = ( x - μ)/σ

z = (14.8 - 16) / 0.4

z = -3

From the table of normal distribution (z²)

the probability of getting a value less than 14.8 = 0.0013499

Therefore, The probability that a randomly chosen bag will weigh between 15.6 and 16.4 ounces is 0.68269. The probability that a randomly chosen bag will weigh between 15.2 and 16.8 ounces is 0.9545. The probability that a randomly chosen bag will weigh less than 14.8 ounces is 0.0013499.

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Related Questions

i need help quick please!!

Answers

5 toppings because

1.5*5= 7.5 7.5+10=17.5

and

1*5=5 5+12.5= 17.5

pizza a=1.5x+10

pizza b=1x+12.50

1.5x+10=1x+12.50

.5x+10=12.5

.5x=2.5

2.5/.5= 5

The coordinates of the vertices of △JKL are J(1, 4) , K(6, 4) , and L(1, 1) .


The coordinates of the vertices of △J′K′L′ are J′(0, −4) , K′(−5, −4) , and L′(0, −1) .



What is the sequence of transformations that maps △JKL to △J′K′L′ ?


reflection across the x-axis

rotation of 180° about the origin

rotation of 90° counterclockwise about the origin

translation 1 unit left


A sequence of transformations that maps △JKL to △J′K′L′ is a _________ followed by a ___________?

Answers

Answer:

The sequence of transformations are;

A translation by 1 unit left, followed by a reflection across the x-axis

Step-by-step explanation:

Here, we want to know the transformation sequence

Let us select one point

J(1,4)

to J’(0,-4)

To translate 1 unit right means that we are subtracting the value of 1 from the x-coordinate

That leaves us with (0,4)

To get the change in the y-coordinate value to negative, it means that we have reflected over the x-axis

x-axis reflection turns (x,y) to (x,-y)

So, the sequence of transformations that maps the two is;

A translation by 1 unit left followed by a reflection across the x-axis

Answer:

translation 1 unit left, then 180 degrees

Step-by-step explanation:

J (1,4)

K (6,4)

L (1,1)

Moving it 1 unit left,  x unit - 1

J (0,4)

K (5,4)

L (0,1)

Now, rotate it 180 degrees, (x,y) = (-x,-y)

J' (0,-4)

K' (-5,-4)

L' (0,-1).

Hence, the triangle JKL is transformed into triangle J'K'L' when a triangle JKL translates 1 unit to the left and then rotate 180 degrees about the origin.

-5/2(6x+24)=x-12

please answer me!

Answers

Answer:

x= -3

Step-by-step explanation:

i hope its right

This looks too hard for me sorry

5% of what number is 10

Answers

Answer:

its 0.5

Step-by-step explanation:

I’m pretty sure it would be 200

Can someone help me pls??

Answers

Answer:

i think this is the answer, hopefully it helps

Step-by-step explanation:

please help me! math stuff

Answers

Answer:a is the answer hope it helped:)!.....

Answer:

C.

Step-by-step explanation:

64+56=120

189-120=C. $69

determine what doesn't lie in the domain of g(x)=square root 2x-7

Answers

For the function g (x) = √ 2 x - 7, the elements that are not included in the domain are ( - ∞, 3.5).

We are given a function:

g (x) = √ 2 x - 7

Now, we need to find what all does not lie in the domain of this function.

For this, we first need to find the domain of the function.

We know that, a square root cannot be negative.

So, we get that:

2 x - 7 ≥ 0

Add 7 to both the sides:

2 x - 7 + 7 ≥ 0 + 7

2 x ≥ 7

Divide both sides by 2:

2 x / 2 ≥ 7 / 2

x ≥ 3.5

Domain = x ≥ 3.5 = [3.5, ∞)

Elements not included in the domain = R - [3.5, ∞) = ( - ∞, 3.5)

Therefore, we get that, for the function g (x) = √ 2 x - 7, the elements that are not included in the domain are ( - ∞, 3.5).

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What is the perimeter of the parallelogram?

Answers

Answer:

18 units

Step-by-step explanation:

Perimeter = add up all side lengths

                = 5 + 5 + 4 + 4

                = 18 units

see image below

A fruit company sells oranges for 32 cents a pound plus $7.50 per order for shipping. If an order is over 100 pounds, shipping cost is reduced by $1.50. This program is supposed to ask the user for the number of pounds of oranges and then print the cost of the order, but it is all mixed up! Can you put the lines in the right order?


Note that two lines are indented slightly.


Don't worry if you can't solve this one, as we'll cover all of how to do this in the coming weeks. But playing around with this program --- rearranging lines, keeping whole lines together --- and trying to figure out how to make it work will give you good experience in experimenting with Python.


costFruit = pounds * 0.32 #1

else: #2

if pounds <= 100 : #3

pounds = int(input("Enter pounds: ")) #4

print(totalCost) #5

shipping = 6.00 #6

shipping = 7.50 #7

totalCost = costFruit + shipping #8

Answers

Answer:

I will tell you if you give me 5 stars and thanks.

Step-by-step explanation:

because I need it.

A 12 count box of Ouaker Instant Grits has a UPCof 00030000047606. What is the check number?
A)0
B)4
C)6
D)7

Answers

Answer:

6

Step-by-step explanation:

1. How many equal parts are there in this image?

Answers

Answer:

6 because their are 6 squares that are equal

Please help me. It’s due asap!

Answers

Answer A

Step-by-step explanation:

I share wwe smackdown ​

Answers

Answer:

Ok..

Step-by-step explanation:

Answer:

It’s fake

Step-by-step explanation:

Find the slope of the line graphed below.
GUYS PLEASE HELP ME!!!!!

Answers

Answer: -2/3 That's the answer.

Hi help me please wit the equation i need help

Answers

Answer:

the y-intercept is (0,8)

PLZ SOMEONE, ANYONE HELP ME WITH THIS, IT IS TIMED AND MY MATH TECHER IS STRICT!!!

Answers

Answer:

a:

10

b:

-10 and 10

c:

8

Step-by-step explanation:

i could be wrong on c tho

what is the product of -3 and a number s?

Answers

Answer:

-3s

Step-by-step explanation:

<3

answer these BOTH. PLEASE! if u answer both correctly i'll give u brainliest and extra points please please please.

Answers

Answer:

9. x = 12

10. x = 31

Step-by-step explanation:

9. Corresponding angles are equal, so technically you can move that (7x - 20) to be diagonal with the (4x + 16). Along with the corresponding angle, diagonal angles are equal to each other. Therefore you can set (7x - 20) equal to (4x + 16) to find x.

7x - 20 = 4x + 16

Solve

3x - 20 = 16

3x = 36

x = 12

Therefore x is equal to 12

Check:

4(12) + 16

= 64

7(12) - 20

= 64

10. All angles in a triangle have to add up to 180 degrees. Therefore, you can write your equation like this:

x + 2x + 25 + 2x = 180

Combine like terms

5x + 25 = 180

Solve

5x = 155

x = 31

Therefore, x = 31.

Check:

31 + 2(31) + 25 + 2(31) = 180

31 + 62 + 25 + 62 = 180

180 = 180

I hope this helps!!

- Kay :)

nate bought 60 feet cable for $13.20. He needs 40 more feet. If the unit price is the​ same, how much will he pay for the extra 40 feet pay?

Answers

528
You multiply 13.20 times 40

OMG!!!!!!!!!!!!!!!!!!!
someone plsss help

Answers

The new function resulting from the vertical translation of the function f(x) = x - 2. (Correct choice: C)

How to use a vertical translation in a linear equation

In this problem we find a linear equation, of which we are asked to traslated vertically, a task that can be done by rigid transformation known as vertical translation, which is defined by the following formula:

g(x) = f(x) + k       (1)

Where k is the change done on the function along the y axis. Please notice that there is a vertical translation in the + y direction if and only if k > 0, otherwise there is no change (k = 0) or a vertical translation in the - y direction if and only if k <  0.

If we know that f(x) = x - 2 and k = 4, then the resulting expression is:

g(x) = (x - 2) + 4

g(x) = x + (4 - 2)

g(x) = x + 2

The new function resulting from the vertical translation of the function f(x) = x - 2. (Correct choice: C)

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Please answer this correctly without making mistakes

Answers

the 20% off coupon will save Manny more money

Use the functions f (x)= –x^2 + 8x – 11, g(x) = 14 - 2/3x,and h(x) = -x – 7 to find each function value.
g (9) + h(-14) =

Answers

Answer:

15

Step-by-step explanation:

input each of the values (g=9 and h= -14) and solve then add them together

g(9) = 14 - 2/3 (9)

14 - 18/3 (or 6) = 8

h(-14) = -(-14) - 7

14 - 7 = 7

8 + 7 = 15

Explain if the following is a proportional relationship: Sam used 6 gallons of gas to drive 50 miles and 4 gallons of gas to drive 100
miles.

Answers

Answer:

it's not a proportional relationship. ..............

You buy rice at $0.71 a pound. One batch of rice requires 7 pounds of rice. How much does the rice for one batch cost? Round to the nearest cent

Answers

Answer:

4.97 or 5 dollars

Step-by-step explanation:

so basically just times them together

PLEASE HELP ME I AM TIMED

Answers

The answer is 2 (4x...)

i only have 4 options which are
38
40
42
46
i dont know which one to pick

Answers

I am getting 42 Vibbezzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

According to the line of best fit what time will the temperature reach 100°c the boiling point of water

Answers

According to the line of best fit, the time that the temperature will reach 100°c the boiling point of water is a 5.

What is the line of best fit?

A straight line that minimizes the gap between it and some data is called a line of best fit. In a scatter plot containing various data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.

It should be noted that with the increase in time, the temperature increases as well.

Therefore, the time that the temperature will reach 100°c the boiling point of water is a 5.

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Draw and label a figure for the following relationship.
YP lies in plane B and contains point C, but does not contain point H.

Answers

The diagram that shows plane B containing points C but doesn't contain point H is shown in the image attached below.

What is a Plane?

In geometry, a plane can be defined as a flat surface that has zero thickness, infinite width and length, and has no curvature.

Examples of real examples of a geometric planes are the flat surface of a paper, cuboid, cube, among others.

The plane in the diagram attached below is plane B that has YP as a line which contains point B. Point C also lies on plane B but is not contained by the line, YP.

Therefore, the diagram that shows plane B containing points C but doesn't contain point H is shown in the image attached below.

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Rewrite this repeating decimal to a SIMPLIFIED fraction. Please and thank you!

Answers

Answer:

3.1666... = 19/6

Answer: 79/25

Step-by-step explanation:

Decimal Fraction Percentage

3.28 82/25 328%

3.24 81/25 324%

3.2 80/25 320%

3.16 79/25 316%

3.12 78/25 312%

3.59091 79/22 359.091%

3.43478 79/23 343.478%

3.29167 79/24 329.167%

3.03846 79/26 303.846%

Which of the following is a linear function?

Answers

Answer:

C

Step-by-step explanation:

the only it has constant rate of change (slope, gradient or derivative at every point is equal)

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