1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nutka1998 [239]
3 years ago
9

A popular soft drink is sold in 2-liter (2,000-milliliter) bottles. Because of variation in the filling process, bottles have a

mean of 2,000 milliliters and a standard deviation of 20, normally distributed. a. If the process overfills the bottle by more than 50 milliliters, the overflow will cause a machine malfunction. What is the probability of this occurring
Mathematics
1 answer:
shutvik [7]3 years ago
6 0

Answer:

0.0062 = 0.62% probability of this occurring

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 2000, \sigma = 20

a. If the process overfills the bottle by more than 50 milliliters, the overflow will cause a machine malfunction. What is the probability of this occurring

Probability of filling the bottle with more than 2000 + 50 = 2050 milliliters, which is 1 subtracted by the pvalue of Z when X = 2050. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{2050 - 2000}{20}

Z = 2.5

Z = 2.5 has a pvalue of 0.9938

1 - 0.9938 = 0.0062

0.0062 = 0.62% probability of this occurring

You might be interested in
Which is an equation in point-slope form for the given point and slope?
OLga [1]
Y--7=-2/3(x-1)
y+7=-2/3(x-1)
5 0
3 years ago
Read 2 more answers
Tiny's Tattoo Parlor sold 389 tattoos this month. 43 of those tattoos were arm tattoos. Based on this data, what is a reasonable
antiseptic1488 [7]
Answer
(389-43)/389=346/389
8 0
3 years ago
Read 2 more answers
The graph of g(x) is the result of translating the graph of f(x) = three units to the left. What is the equation of g(x)?
jenyasd209 [6]
In the case of exponential functions, the graph is shifted when a constant is added to the exponent of the constant. The original equation, f(x) is:
f(x) = (1/2)ˣ
Now, when horizontal shifting is occurring, the equation is:
y = Cˣ⁺ᵃ
If a is positive, the graph shifts to the lefts and the shift is equal to a units. If a is negative, the graph shifts to the right and the shift is equal to a units. Therefore, to shift the graph 3 units to the left:

g(x) = (1/2)⁽ˣ⁺³⁾
The correct answer is B.
3 0
3 years ago
Read 2 more answers
Find the area of the figure.
Elden [556K]

Answer:

45 square inches

Step-by-step explanation:

If you think of the square and the triangle separately:

The square would be 6 * 6 = 36

The triangle would be 6 * 3 / 2 = 9

Then, add those two area: 36 + 9 = 45 square inches

4 0
2 years ago
Read 2 more answers
There are 10 fish, 3 fish drown, how much fish are there left?
Alik [6]

Answer:

10 fish left

7 fish alive

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • Carl deposited $5,142 into a savings account 20 years ago. The account has an interest rate of 3.8% and the balance is currently
    14·1 answer
  • Sandra and her friend went to the candy store. Each of the purchased a bag of jelly beans. Sandra's bag weighed 1.25 pounds. Her
    14·2 answers
  • I need help I'm not so good with geometry
    10·1 answer
  • Today the price of a new cell phone is $129 in 2000 the price of a similar cell phone was $240 what is the percent of change in
    8·1 answer
  • What does y=1\4X-5 equal
    13·1 answer
  • What is thissssssssssss
    15·1 answer
  • What is the solution to x 3 + x 2 ≤ 10x – 8? {–4, 1, 2} (–ꝏ, –4] (–ꝏ, –4) U [1, 2] (–ꝏ, –4] U [1, 2]
    10·1 answer
  • Which equation has a solution of 12? Help me please :(<br> A. x-6=6 B.4=x-16<br> B. x+6=6 D.4=8+x
    15·1 answer
  • Please help I dont get it :(​
    8·1 answer
  • If 50 one-cent coins were stacked on top of
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!