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
pogonyaev
3 years ago
13

The actual amount in a 12-ounce container of a certain brand of orange juice is normally distributed with mean μ = 12.34 ounces

and standard deviation σ = 0.04 ounce. What percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice?
Mathematics
1 answer:
inessss [21]3 years ago
4 0

Answer:

15.25%

Step-by-step explanation:

The actual amount in a 12-ounce container of a certain brand of orange juice is normally distributed with mean μ = 12.34 ounces and standard deviation σ = 0.04 ounce. What percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice?

We solve using the z score formula

z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean = μ = 12.34 ounces

σ is the population standard deviation = σ = 0.04 ounce

For x = 12.24

z = 12.24 - 12.34/0.04

z = -2.5

Probability value from Z-Table:

P(x = 12.24) = 0.0062097

For x = 12.30

z= 12.30 - 12.34/0.04

z = -1

Probability value from Z-Table:

P(x = 12.30) = 0.15866

Hence, the probability of the juice bottles contain between 12.24 and 12.30 ounces of orange juice

P(x = 12.30) - P(x = 12.24)

= 0.15866 - 0.0062097

= 0.1524503

Therefore, the percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice is calculated as:

= 0.1524503 × 100

= 15.24503%

= 15.25%

You might be interested in
The dot plot shows the number of visitors determine the mean of the data set
Tju [1.3M]

Answer:

C) 61

Step-by-step explanation:

6 0
3 years ago
Susie wants to buy a snowboard that cost $530. She has already saved $98 for it. She makes $72 a week babysitting. Which inequal
Alex777 [14]
Its B , 6 because if you subtract 98 from 530 you get 432 and if you divide that by 72 you get 6 :)

6 0
3 years ago
What are the two equations that need to be solved to find the solutions for the absolute value equation |x-5|=x-2
Allushta [10]

Answer:

x - 5 = x - 2   and

x - 5 = 2 - x.

Step-by-step explanation:

x - 5 may be positive or negative so we have:

x - 5 = x - 2  

and

x - 5 = - (x  - 2)

x - 5 = 2 - x.

6 0
3 years ago
A community center is holding a raffle. The table below shows the number of tickets purchased and total price paid for three dif
Rom4ik [11]

Answer:

The answer would be C!

7 0
3 years ago
What is the volume of 8x12x10
lakkis [162]

Answer:

960

Step-by-step explanation:

You multiply all of the numbers together to get 960

5 0
3 years ago
Read 2 more answers
Other questions:
  • Oranges are sold in a supermarket at £1.42 per KG.
    11·1 answer
  • HELP PLEASE
    9·2 answers
  • Can someone please explain the answer to 4 1/3+ 2 3/4+ 1/6
    5·1 answer
  • The dimensions of a lawn shaped like a trapezoid are given in meters. 4m,5m,12m,18m. What is the area of the lawn in square mete
    13·1 answer
  • Lemon goes to the store and buys a game station for $25. The store is running a discount of 15%. What is the price of the game s
    11·1 answer
  • What is the notation for an inverse function?
    10·2 answers
  • Responda a expressão 5x+6y+x+2:​
    11·1 answer
  • Isosceles triangle PQR in which PQ = PR = 45 mm and PQR = 20° Picture​
    15·1 answer
  • Last digit (unit digit) of 2^2014
    9·1 answer
  • The function f(x) is shown in the graph.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!