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
dexar [7]
3 years ago
7

Bottling cola A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed to contain 3

00 milliliters (ml). In fact, the contents vary according to a Normal distribution with mean μ = 298ml and standard deviation σ = 3ml.
What is the probability that a randomly selected bottle contains less than 295 ml? Show your work.
Mathematics
1 answer:
erik [133]3 years ago
4 0

Answer:

P(X

And we can find this probability using the normal standard table or excel:

P(Z

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 amount of ml of a population, and for this case we know the distribution for X is given by:

X \sim N(298,3)  

Where \mu=298 and \sigma=3

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability using the normal standard table or excel:

P(Z

You might be interested in
Determine if the figures are similar. If they are, what is the scale factor from the first figure to the second figure?
lora16 [44]

Answer:

The scale factor is \frac{3}{2}

Step-by-step explanation:

Yes the figures are similar to each other. The ratio of their linear measurements is in uniform ration

The ration of radius of large cylinder (R) to that of the smaller cylinder (r) is

\frac{18}{12} \\\frac{3}{2}

Like wise the ration of height of large cylinder (H) to that of the smaller cylinder (h) is

\frac{30}{20} \\\frac{3}{2}

The scale factor is \frac{3}{2}

5 0
2 years ago
What is the first step needed to solve 3 over 4 multiplied by x minus 3 equals negative 18?
NemiM [27]
My answer would be to add 3 to both sides
8 0
3 years ago
N an algebra classroom, a teacher has created an estimation game using a jar of pennies. six students remain in the contest. eac
ella [17]
Im guessing 35 all I did was add 12+11
6 0
2 years ago
Alicia wants to bake a cake with ⁹/10 grams of flour.However,she only has ⅓ grams of flour she needs.How much does she have?
natali 33 [55]

Answer:

We know that:

She needs 9/10 grams of flour for the cake (this quantity does not make a lot of sense, maybe is written incorrectly, but is the only info we have, so let's solve the problem with this)

She only has 1/3 of the amount she needs.

How much flour does she have?

Well, she needs 9/10 grams, and she has one-third of that.

Then she has (1/3) times (9/10) grams, this is:

F = (1/3)*(9/10) grams

F = (1*9)/(3*10) grams

F = 9/30 grams

That is the amount of flour that she has.

6 0
2 years ago
3x= - 12 what is the answer
monitta

Answer:

the correct answer is -4

3 0
3 years ago
Read 2 more answers
Other questions:
  • Laurissa rolls two number cubes, each with the numbers 1 though 6. Laurissa adds the numbers that appear on the roll. Which two
    15·1 answer
  • What is the length of side x? *<br> 390<br> 18
    11·1 answer
  • I dont get this at all somebody help
    12·1 answer
  • A spherical helium balloon has a diameter of 30 cm. How much helium is needed to fill the balloon, in cubic centimeters? Round y
    12·1 answer
  • 5,829 in expanded form
    9·2 answers
  • Write an equivalent expression by applying the distributive property (x-5)^2
    10·1 answer
  • 10p^(2)- 5pq - 180q^(2)
    13·1 answer
  • 7^10 is _____ times larger than 7^8.
    12·1 answer
  • Pls help me i’m really not to sure about this question
    6·1 answer
  • Identify the shape and solve for X<br><br> (will give Brainliest)<br> PLEASE HELP
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!