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
Charra [1.4K]
3 years ago
5

A bottling company uses a filling machine to fill plastic bottles with a popular cola. The bottles are supposed to contain 300 m

l. In fact, the contents vary according to a normal distribution with mean μ = 298 ml and standard deviation σ = 3ml.
What is the probability that a randomly selected bottle contains less than 295 ml?
Mathematics
1 answer:
Lana71 [14]3 years ago
5 0

Answer:

0.16

Step-by-step explanation:

For a normal distribution, the 68-95-99.7 rule says that 68% of the distribution lies within 1 standard deviation from the mean, 95% within two standard deviations and 99.7% within three standard deviations.

From the question,

Mean μ = 298 ml

Standard deviation σ = 3 ml

A value of 295 ml is within one standard deviation = 68%.

Since it's on the lower side, it's within 68% ÷ 2 = 34%.

The lower half below the mean is 50% of the distribution. Hence, for a selection less than 1 standard deviation, the probability is

50% - 34% = 16% = 0.16

You might be interested in
HELLLLPPPPPPP PLEASEEEEEE<br> I WILL MARK YOU BRILLLLLLLLL
Annette [7]

Answer:

Answer is 2a + 8 because 2 times a is 2a and 2 times 4 is 8

8 0
3 years ago
Read 2 more answers
a rectangular box of rice is shown below. what is the greatest amount or rice, in cubic inches, that the box can hold?
Gemiola [76]

Answer:

nbbbbbbb

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which numbers are greater than -11.2?
Kruka [31]

Answer:

-11.1 and up

Step-by-step explanation:

3 0
3 years ago
Solve the system by graphing: y=-3x-3 and y=2x+2. Make sure you write your answer as an ordered pair: (x,y)
Rainbow [258]

Answer: (5, 12)

Step-by-step explanation:

Just graph the linear equations and find where they intersect.

Algebraically, you can set them equal to each other

-3x-3=2x+2

-x-3=2

-x=5

x=5

Plug x=5 to any equation

y=2(5)+2

y=12

3 0
3 years ago
Find the slope of the line that passes through (6, 8) and (2, 17).
Inga [223]

Answer:

-9/4

Step-by-step explanation:

Slope is equal to the change in y, over the change in x, or rise over run.

x, is the run

y, is the rise

You can substitute the coordinate numbers on the equation to find the slope. which is y2-y1/x2-x1

m= 17-(8)

——

2-(6)

Your answer will be -9/4 (it doesn’t matter where the negative goes, and there’s a negative because 2-6= -4)

Hope this helps.

8 0
2 years ago
Other questions:
  • 7777777777777777777777777777777777777777777777777777777777x1
    7·1 answer
  • Point A is located at (0, -2) and is rotated 180°. What are the coordinates of point A'?
    7·2 answers
  • X+a=3/4 I don't know how to solve this and I need someone to help explain it to me.
    5·1 answer
  • In a box of 250 paperclips, 50 are red. What percent of paperclips are red
    9·2 answers
  • Michelle collected 7 more than twice the number of newspaper David collected. Michelle collected 33 newspaper. How many did Davi
    11·1 answer
  • In a car race, for every mile covered by car a, car b covered 4 miles. the ratio of the number of miles covered by car a to the
    6·2 answers
  • Find the m&lt;1 <br> 69<br> 71<br> 111<br> 86
    9·1 answer
  • What is sin45°*sin30°*cos60°
    6·1 answer
  • Helppppp plzzzz I will mark brainliestttt
    15·1 answer
  • What is the sum of the first seven terms of the geometric series? 3 12 48 192 ...
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!