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
kari74 [83]
3 years ago
13

A machine fills containers with a particular product. Assume the filling weights are normally distributed with a variance of 0.1

6 ounces2. If 85% of the containers hold greater than 12 ounces, find the machine's mean filling weight (in ounces).
Mathematics
1 answer:
Ghella [55]3 years ago
8 0

Answer:

z=-0.674

And if we solve for \mu we got

\mu=12 +0.674*0.4=12.270

So then the mean is 'mu = 12.270 for this case.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,\sqrt{0.16}= 0.4)  

For this part we want to find a value a, such that we satisfy this condition:

P(X>12)=0.85   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.25 of the area on the left and 0.85 of the area on the right it's z=-0.674. On this case P(Z<-0.674)=0.25 and P(z>-0.674)=0.85

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-0.674

And if we solve for \mu we got

\mu=12 +0.674*0.4=12.270

So then the mean is 'mu = 12.270 for this case.

You might be interested in
Antoine paid $7.47 for 3 pounds of grapes. Write the cost of the grapes as a unit rate.
Sergeeva-Olga [200]

2.49

Because 7.47 divided by 3 equals 2.49

8 0
3 years ago
Read 2 more answers
In a competition, the ratio of the number of tickets Mark collected to the number of tickets Julia collected is 4:3. Julia colle
Afina-wow [57]

Answer: 84 tickets

Step-by-step explanation:

We are told the ratio of the number of tickets Mark collected to the number of tickets Julia collected is 4:3

\frac{M}{J}=\frac{4}{3} (1)

In addition, we are told Julia collected 36 tickets:

J=36 (2)

Substituting (2) in (1):

\frac{M}{36}=\frac{4}{3} (3)

Isolating M:

M=48 (4)

Adding Mark's tickets to Julia's:

M+J=48+36=84

Therefore, both collected 84 tickets.

3 0
3 years ago
PLEASE HELP
photoshop1234 [79]
Parameters of functions are the independent variable(s). e.x. y = 2x /\  x is the independent <span> variable (the parameter).</span>
6 0
3 years ago
A triangular prism is 32 inches long and has a triangular face with a base of 18 inches and a
worty [1.4K]

Answer:

1752

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is (0.3)(0.5)? Show your reasoning.
loris [4]

Answer:

0.15

Step-by-step explanation:

0.3*0.5=

3*5=15

15/100=0.15

(brackets mean multiply)

5 0
3 years ago
Other questions:
  • Where do I begin to solve this question?
    8·1 answer
  • The __[_blank_]__ of two sets A and B is the set of elements that are present in A, in B, or in both A and B.
    10·1 answer
  • What is 1/20 in a fraction?
    5·2 answers
  • Will give you brainlyist pls help​
    13·1 answer
  • Which correctly describes a cross section of the cube below? Check all that apply.
    15·1 answer
  • When multiplying two negative intergers what is the sign of the product
    13·1 answer
  • The domain of the following relation R {(3, −2), (1, 2), (−1, −4), (−1, 2)} is (1 point)
    9·1 answer
  • A group of campers set up 32 tents. The tents were arranged in groups of 4. Every 12 campers occupied a group of 4 tents. How ma
    10·1 answer
  • Mr. Brown purchased 5.75 pounds of chicken that cost $2.40 per pound.
    12·1 answer
  • Please help me I have no idea what I am doing so could u please help me with this it’s from Khan academy
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!