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Basile [38]
3 years ago
15

A company is producing a candy bar with an average weight of 58 grams and a standard deviation of 2 grams. To pass inspection an

d be boxed to sell, the company has stated that the weight of an individual bar must fall within the middle 99.7% of all the candy bar weights. Assuming the weights are normally distributed and with the mean in the middle, plot a line segment that represents the range of weights that will pass inspection.

Mathematics
1 answer:
prisoha [69]3 years ago
6 0

Answer:

58

Step-by-step explanation:

Hope this helps :)

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If you apply the changes below to the linear parent function, f(x) = x, what is the equation fo the new function?
ad-work [718]

Answer:

D

Step-by-step explanation:

For a function in the form f(x) = x, we can say:

  • the function f(x) = ax is a vertical stretch if a>1 and compress if 0<a<1
  • the function -f(x) is the original, flipped over x-axis

<em>keeping the 2 rules in mind, we can say that</em>

<em>vertical stretch by a factor of 3 would make it f(x) = 3x</em>

<em>Then</em>

<em>flip over x-axis would make it f(x) = -3x</em>

<em />

answer choice D is right

5 0
3 years ago
The number of errors in a textbook follow a Poisson distribution with a mean of 0.03 errors per page. What is the probability th
maksim [4K]

Answer:

The probability that there are 3 or less errors in 100 pages is 0.648.        

Step-by-step explanation:

In the information supplied in the question it is mentioned that the errors in a textbook follow a Poisson distribution.

For the given Poisson distribution the mean is p = 0.03 errors per page.

We have to find the probability that there are three or less errors in n = 100 pages.

Let us denote the number of errors in the book by the variable x.

Since there are on an average 0.03 errors per page we can say that

the expected value is, \lambda = E(x)

                                       = n × p

                                       = 100 × 0.03

                                       = 3

Therefore the we find the probability that there are 3 or less errors on the page as

     P( X ≤ 3) = P(X = 0) + P(X = 1) + P(X=2) + P(X=3)

                 

   Using the formula for Poisson distribution for P(x = X ) = \frac{e^{-\lambda}\lambda^X}{X!}

Therefore P( X ≤ 3) = \frac{e^{-3} 3^0}{0!} + \frac{e^{-3} 3^1}{1!} + \frac{e^{-3} 3^2}{2!} + \frac{e^{-3} 3^3}{3!}

                                 = 0.05 + 0.15 + 0.224 + 0.224

                                 = 0.648

 The probability that there are 3 or less errors in 100 pages is 0.648.                                

7 0
3 years ago
Read 2 more answers
How to simplify 5 cubed
alex41 [277]

Answer:

125

Step-by-step explanation:

Steps to Solving the Problem

So let's say you have five friends who who are each going to pay you five dollars for the next five days. You can figure out how much money you will receive by calculating five cubed or five to the third power. This will tell us how much money you will get because you will multiply 5 by 5 by 5 or 5 cubed.

To start, you need to turn words into numbers by figuring out the base and exponent. An exponent is the number after the ^ which tells you how many times to multiply the base number by itself. The base number comes before the ^. When five is cubed, five is the base number which will show up before the ^.

Three is the exponent and will be the number after the ^. We know three is the exponent because of the word 'cubed,' which always represents the number three.

We can write out five cubed as:

5^3

Once the exponent and base are figured out, we need to write out the long version, which shows all the multiplication being done. In this case, the exponent of three tells us to multiply five by itself three times.

5 x 5 x 5

This shows us 5 friends multiplied by $5 multiplied by 5 days.

From here, multiply the numbers out to get the final answer. Multiply two numbers at a time to so you don't make a mistake.

5 x 5 = 25

25 x 5 = 125

6 0
3 years ago
If anyone could help answer this question that would be great.
lys-0071 [83]
I believe the answer is 64
First break it off into 2 rectangles on is 4 width and 10 length other is 8 length and 10 width. Then multiple to find area 10•4=40 8•3=24 then add 40+24= 64
3 0
3 years ago
What’s the diameter of a circle 5in
Molodets [167]

Answer:

About 1.591 in

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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