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
Aleksandr-060686 [28]
3 years ago
14

A soft-drink machine can be regulated so that it discharges an average of μ oz. per cup. If the ounces of fill are Normally dist

ributed with a standard deviation of 0.4 oz., what value should μ be set at so that 98% of 6-oz. cups will not overflow?

Mathematics
1 answer:
sattari [20]3 years ago
4 0

Answer:

μ = 5.068 oz

Step-by-step explanation:

Normal distribution formula to use the table attached

Z = (x - μ)/σ

where μ is mean, σ is standard deviation, Z is on x-axis and x is a desired point.

98% of 6-oz. cups will not overflow means that the area below the curve is equal to 0.49; note that the curve is symmetrical respect zero, so, 98% of the cases relied between the interval (μ - some value) and (μ + some value)].

From table attached, area = 0.49 when Z = 2.33. From data, σ = 0.4 oz and x = 6 oz (maximum capacity of the cup). Isolating x from the formula gives

Z = (x - μ)/σ

2.33 = (6 - μ)/0.4

μ = 6 - 2.33*0.4

μ = 5.068

This means that with a mean of 5 oz and a standard deviation of 0.4 oz, the machine will discharge a maximum of 6 oz in the 98% of the cases.

You might be interested in
What is 4.3(v+2.5)=8.11+4v
True [87]

Answer:

-8.8

Step-by-step explanation:

We begin by simplifying the parenthesis through multiplication. Parenthesis is a structure which signals multiplication happening.

4.3(v+2.5)=8.11+4v\\4.3v+10.75=8.11+4v

We now begin combining like terms across the equal sign by performing the inverse or doing the opposite. Move first the 8.11 by subtracting it from both sides.

4.3v+10.75-8.11=8.11-8.11+4v\\4.3v+2.64=4v

Now, move 4.3v across by subtracting it from both sides.

4.3v-4.3v+2.64=4v-4.3v

2.64=-0.3v

Finally, we divide both sides by the coefficient of v.

\frac{2.64}{-0.3} =\frac{-0.3v}{-0.3} \\-8.8=v

6 0
3 years ago
Find the value of x. Round to the nearest degree.
timofeeve [1]

Answer:

can you provide a picture of the question plz

Step-by-step explanation:

7 0
2 years ago
PLEASE PLEASE PLEASE HELP TIMEDCan you prove that DE F = HGF Justify your answer. A. Yes, the triangles are congruent by SAS. B.
LenKa [72]

Answer:

A. Yes, the triangles are congruent by SAS.

Step-by-step explanation:

EF = FG and DF = FH-> Given

angle EFD = angle HFG -> Vertical angles are congruent

DE F = HGF -> SAS Triangle Congruence Theorem

6 0
3 years ago
Read 2 more answers
B = what of the base
nevsk [136]

Answer:

complete your question

7 0
3 years ago
the jonsons purchased an air conditioner.Should they set the thermostat at 18 degrees Celsius or 50 degrees Celsius ​
Neko [114]
18 Celsius because it is 64.4 in Fahrenheit which is a natural temperature and 50 is 122 in Fahrenheit which is very hot.
Hope I was helpful!
6 0
2 years ago
Other questions:
  • What is the missing constant term and a perfect square starts with x^2+10x
    8·1 answer
  • ABC is a right triangle with right angle at ∠B.
    9·1 answer
  • PLEASEEEE HELLLP REALLL ANSWERSSSS two stores both purchase cellphones from the manufacturer for $180 each. store a marks up the
    5·1 answer
  • How is the graph of y=9(3)^x-2 -6 translated from the graph of y=9(3)^x ?
    8·1 answer
  • D
    14·1 answer
  • Graph f(x)=-2x^2-12x-21
    6·1 answer
  • Which of the following is a characteristic of Euclidean geometry?
    7·1 answer
  • Fine the exponent ??
    5·2 answers
  • There are 4 blue marbles, 15 red marbles and 20 black marbles. The favorable outcome is selecting a blue marble. Which phrase BE
    10·1 answer
  • In an election, the population consists of the people who voted. Although there is overall data on how the population voted, the
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!