![mytime8774](/avatars/14388.jpg)
mytime8774
04.04.2020 •
Mathematics
Chocolate bars produced by a certain machine are labeled with 8.0 oz. The distribution of the acutal weights of these chocolates bars is Normal with a mean of 8.1 oz and a standard deviation of 0.1oz. A chocolate bar is considered underweight if it weighs less then 8.0 oz.
(A) What proportion of chocolate bars wieghs less then 8.0 oz?
(B) What propertion of chocolate bars weighs between 8.2 and 8.3 oz?
(C) How should the chocolate bar wrappers be labeled so that only 1% of such bars are underwight?
Solved
Show answers
More tips
- F Food and Cooking What Foods Can Nursing Moms Eat?...
- L Leisure and Entertainment Choosing the Right Books to Read: Tips and Recommendations...
- L Leisure and Entertainment Couchsurfing: A New Way to Travel...
- G Goods and services Which TV is better - LCD or Plasma?...
- S Sport How to Learn to Pull Up on Monkey Bars?...
- L Leisure and Entertainment Scrapbooking: What is it and Why is it Becoming More Popular?...
- C Computers and Internet Where did torrents.ru move to?...
- B Business and Finance Understanding Cash Flow: What It Is and How It Works...
- C Computers and Internet What Are Peers and Seeds in Torrenting?...
- H Health and Medicine 10 Simple Techniques on How to Boost Your Mood...
Answers on questions: Mathematics
- M Mathematics Write the following series in sigma notation. 8 + 14 + 20 + 26 + 32...
- M Mathematics If ST = 3y - 44 and SV = y, find the value of y in parallelogram TUVW. Yeh plz help...
- M Mathematics Please help me, 7th grade math...
- M Mathematics BRAINLIEST 3. Which is the perimeter for the following? (6x + 18) units (x2 - x + 7) units...
- M Mathematics - of compute the following equation by using?a) Singh loop b) No - LoopVn] - k[ kh [K] x [n+kkoo...
- M Mathematics a cell phone plan charges $45.75 per month, plus $9.55 in taxes, $0.35 per minute for calls beyond the 500-min monthly limit...
- M Mathematics What is 1 + 3(x + 7) simplified...
- M Mathematics What is represented by an equation?...
- M Mathematics The variables a, b, and c are all rational numbers such that a b c and a, b, and c are all greater than 0. Use this knowledge to order the expressions from least to greatest....
- M Mathematics 3. Which statement about users of accounting informa- tion is incorrect?(a) Management is considered an internal user.(b) Taxing authorities are considered external users.(c)...
Ответ:
Step-by-step explanation:
a. Let C be the normally distributed random variable.
-Given the chocolates is normally distributed with mean =8.1 oz and standard deviation =0.1 oz.
#The proportion of those less than 8.0 oz can be calculated as:
Hence, the proportion of bars weighing below 8 ounces is 0.1587 or 15.87%
b. We use the z-test to determine the probability or proportion of bars weighing between 8.2 and 8.3 ounces:
Hence, the proportion of bars weighing between 8.2 and 8.3 ounces is 0.1359 or 13.59%
c. To label the wrappers such that only 1% are underweight.
#Find B such that
P(C<B)=0.01
#Now find z-value such that:
Using the z-tables, z=-2.33
Therefore:
Hence, the wrappers should be labelled as 7.87 ounces
Ответ:
The length of the rectangular delivery box must be equal to 4 inches.
Let the length of the box be L.
Let the width of the box be W.
Let the height of the box be H.
Given the following data:
Volume of box = 224 cubic inches.Translating the word problem into an algebraic expression;
Mathematically, the volume of a rectangular solid is given by the formula;
Substituting the values into equation, we have;
Rearranging the polynomial, we have;
We would apply the remainder theorem to solve the polynomial.
According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.
When x = 3
We would try with 4;
Therefore, 4 is one of its roots.
Hence, the length of the rectangular delivery box must be equal to 4 inches.
Find more information on polynomial here: