Mathematics College

the actual weights of bags of pet food are normally distributed about the mean of 50.0 lb with a standard deviation of 0.2 lb.


1. About what percentage of bags of pet food weigh between 49.8 lb and 50.2 lb?

2. About what percentage of bags weigh less than 49.8 lb?

3. In a group of 250 bags, what percentage of bags would you expect to weigh more than 50.4? ​

The Actual Weights Of Bags Of Pet Food Are Normally Distributed About The Mean Of 50.0 Lb With A Standard

Answers

Answer 1

9514 1404 393

Answer:

68%16%2.5%

Step-by-step explanation:

1. The empirical rule tells you 68% of the distribution is within 1 standard deviation of the mean. The mean is 50 and the standard deviation is 0.2, so this means 68% of the bags weigh between 49.8 and 50.2 lb.

__

2. The other 32% is evenly split above and below the central part of the distribution. That is, about 16% of the bags will weigh less than 49.8 lb.

__

3. The percentage is independent of the size of the group. The empirical rule tells you 95% lie within 2 standard deviations of the mean. The other 5% will be evenly split between those weighing more than 50.4 and those weighing less than 49.6 lb. About 2.5% of the bags will weigh more than 50.4 lb.

_____

Additional comment

It is useful to remember the empirical rule numbers, 68%, 95%, 99.7% for the portion of the distribution between ±1, 2, 3 standard deviations of the mean. They are useful for answering questions like this one. (They are only approximations, so if more accuracy is needed, a table or app should be used to find the accurate value.)

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Simplify each expression. Justify each step

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23 plus seven is 30 and then you add the 15 which equals 45

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Answer:

i think maybe j that is what I think

A group of 20 students attempting a MathematicalChallenge have an average age of 11. When their teacher is included their average age is12. What is the age of the teacher?

Answers

Answer:

32.

1st get the total age of the students

x/20 = 11

x=11x20

x =220 (total age of students)

add y ( teachers age) to the equation

(220 + y)/21=12

y= 32

Answer:

32

Step-by-step explanation:

20 * 11= 220

21 * 12= 252

252-220=32

Find the length of the third side. If necessary, round to the nearest tenth

Answers

Answer:

x=14.28

Step-by-step explanation:

24^2+x^2=28^2, Pythagorean theorem

x^2=28^2-24^2

x^2=(28+24)(28-24)

x^2=52*4

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A square notepad has sides that are 14 centimeters long. What is the notepads perimeter?

Answers

square has four sides
14x4=56

Answer:

56 cm (22.4 in)

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

b. Substitute 8x+4 for y in the first equation.

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Answers

Answer:

23 is the answer the J is acute but it has a vary so it is even smaller than 49 so it's like subtracting 26

Answer: j=27 degrees

49+j=76 because vertical angles are always congruent. Now that we know that, we can subtract 49 from 76 which equals 27 degrees and that's your answer!

Hope this helped you!

What is 21+G as an algebraic expression?

Answers

Answer:

i dont know

Step-by-step explanation:

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Answer:

(20 + 1) + G

Step-by-step explanation:

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Answers

Answer:

14 one fourths

Step-by-step explanation:

First, we convert 7/2 into a fraction with the denominator of a four. To do this, we multiply the top and bottom by 2. 7*2 is 14, and 2*2 is 4, which gives us 14/4. This means that there are 14 one fourths in 7/2. Hope this helps!

Answer:

14 fourths

Step-by-step explanation:

Hey There!

So to solve this problem we need to divide 7/2 by 1/4

[tex]\frac{7}{2}divided by\frac{1}{4} =14[/tex]

Therefore 14 fourths can go into 7/2

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Answers

Answer:

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Step-by-step explanation:

Wait for more responses if needed

Answer:

[tex] {6x}^{2} + 4x[/tex]

Step-by-step explanation:

1) Collect like terms.

[tex](7 {x}^{2} - {x}^{2} ) + 4x[/tex]

2) Simplify.

[tex] {6x}^{2} + 4x[/tex]

Therefor, the answer is 6x² + 4x.

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Answer:

true

Step-by-step explanation:

I swear I know

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How to get 10 with the numbers 7, 11, 4 and 2 in that order?

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Answer:

Huh!! What is this question supposed to mean?

Robert has 7 pounds of ground beef. He is dividing the beef into burgers that are each 1/3 of a pound. How many burgers can he make

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Robert can make 21 burgers

Patrick is reading a book about the history of baseball. The book is 210 pages long; 140 of the pages have illustrations on them. If Patrick opens the book to a random page, what is the probability that the page will have an illustration on it?

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Answer:

Probability: 140/210= 14/21

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Answer:

I think B by I'm not sure

Step-by-step explanation:

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Answers

The measure of the smallest angle is 60

Answer:

geometry

The ratio of the angle measures of a pentagon is 4:5:3:8:7. What is the measure of the smallest

The sum of the interior angles of a pentagon is 180(5-2) = 540º

so

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Answers

Answer:

43.96

Step-by-step explanation:

4. A square has a perimeter of 28 units, an
ared of 49 units, and sides that are either
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located in the same quadrant where the x
value is negative. What are the possible
coordinates of the square?

Answers

Answer:

7

Step-by-step explanation:

perimeter - 7+7+7+7=28

area - 7×7 = 49

it's a square so all sides are the same length.

area is length times width

perimeter is all sides added together.

Type the correct answer in each box.
Consider the expressions shown below.
А.
B
C с
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3.5 + 4812
3r + 8 8r2 + 3r
4
Complete each of the following statements with the letter that represents the expression.
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(3x2 7x + 14) + (5x2 + 41 6) is equivalent to expression
(2x2 – 5x – 3) + (-10x2 + 2x + 7) is equivalent to expression
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Answers

Answer/Step-by-step explanation:

✔️(3x² - 7x + 14) + (5x² + 4x - 6)

3x² - 7x + 14 + 5x² + 4x - 6 (distributive property)

Add like terms

3x² + 5x² - 7x + 4x + 14 - 6

8x² - 3x + 8

Therefore:

✅(3x² - 7x + 14) + (5x² + 4x - 6) is equivalent to expression 8x² - 3x + 8.

✔️(2x² - 5x - 3) + (-10x² + 2x + 7)

2x² - 5x - 3 - 10x² + 2x + 7 (distributive property)

Add like terms

2x² - 10x² - 5x + 2x - 3 + 7

-8x² - 3x + 4

Therefore:

✅(2x² - 5x - 3) + (-10x² + 2x + 7) is equivalent expression to -8x² - 3x + 4

✔️(12x² - 2x - 13) + (-4x² + 5x + 9)

12x² - 2x - 13 - 4x² + 5x + 9

12x² - 4x² - 2x + 5x - 13 + 9

8x² + 3x - 4

Therefore:

✅(12x² - 2x - 13) + (-4x² + 5x + 9) is equivalent expression to 8x² + 3x - 4

Answer:

B, A, C

Step-by-step explanation:

g^4+ 5h
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Answers

Answer: 36

Step-by-step explanation:

g^4+5h

2^4+5(4)

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Answers

Answer:

a

Step-by-step explanation:

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Answers

Answer:

53.76 cm³

Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Step-by-step explanation

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Answers

Answer:

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Step-by-step explanation:

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Answers

First take 15/4x6/5=4.5 now since there are four sections like this we need to multiply that by four 4,5x4=18. Now lets find the two ends (8/3x6/5)2=6.4. Now we can add our two values together. 18+6.4=24.4cm^3. So the answer is 24.4cm^3

Answer:

24.2^3cm is the correct answer .

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Answers

Answer:

19/20

Step-by-step explanation:

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add the numbers

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Answer: 19/20

Step-by-step explanation:

Find your common denominator

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15/20

1/5

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What is the value of p when the expression 2(4 + x) is equivalent to 2(x + p)?

Answers

Answer:

p = 4

Step-by-step explanation:

[tex]2(x+p)=2(4+x)\\x+p=4+x\\p=4[/tex]

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Answers

Answer:

6 ft = 2 yd

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Answers

Answer:

12

Step-by-step explanation:

Answer:

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