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
qaws [65]
3 years ago
7

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

(ml). In fact, the contents vary according to a Normal distribution with mean μ = 298 ml and standard deviation σ = 3 ml. What is the probability that the mean contents of six randomly selected bottles is less than 295 ml? a. 0.0478 b. 0.9928 c. 0.1587 d. 0.00002 e. 0.0072
Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
7 0

Answer:

e. 0.0072

Step-by-step explanation:

We are given that a bottling company uses a filling machine to fill plastic bottles with cola. And the contents vary according to a Normal distribution with Mean, μ = 298 ml and Standard deviation, σ = 3 ml .

 Let    Z = \frac{Xbar - \mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)  where, Xbar = mean contents of six randomly

                                                                     selected bottles

                                                          n = sample size i.e. 6    

So, Probability that the mean contents of six randomly selected bottles is less than 295 ml is given by, P(Xbar < 295)

 P(Xbar < 295) = P( \frac{Xbar - \mu}{\frac{\sigma}{\sqrt{n} } } < \frac{295 - 298}{\frac{3}{\sqrt{6} } } ) = P(Z < -2.45) = P(Z > 2.45)

Now, using z% score table we find that P(Z > 2.45) = 0.00715 ≈ 0.0072 .

Therefore, option e is correct .

You might be interested in
A cylinder has a radius of 8 cm and a height of 14 cm.<br><br> What is the volume of the cylinder?
sdas [7]
The volume of a cylinder is represented by the following equation...

V=<span><span>πr^2 x </span><span>h
</span></span>
Volume = π(64)(14)

Your volume is 896π

6 0
3 years ago
Locate the point (-3.5, -1) on the coordinate plane:
MrRissso [65]

Answer:

go to the left 3.5 units then go down one and that's your point

8 0
2 years ago
Read 2 more answers
What is QR ?<br><br> Enter your answer in the box.<br><br> units
Dimas [21]
TR = 6
QR = 2(TR)
QR = 2(6)
QR = 12
6 0
3 years ago
Read 2 more answers
The owner of a new pet store wishes to display tropical fish in display tanks. The above table shows the species that cannot liv
Pepsi [2]

Answer:

The minimum number of different tanks needed to safely house all the fish is:

  • <u>3 tanks</u>.

Step-by-step explanation:

To identify the minimum number of different tanks, we're gonna concentrate in a fish species, in this case can be the A: as you see in the table, the A species can live with all the fish excepting the F and G, by their side, the F and G can't live together , by this reason, this three species must live in a different tank, in the next form:

  • Tank 1: <em>A</em>
  • Tank 2: <em>F</em>
  • Tank 3: <em>G</em>

Now the B species, it can live with A, F and G, but for this example we can put in the tank 1 (the tank of the A species). The C especies can live with A, F and G, but how we have A and B together, we're gonna put the C especies in the tank 3 (the tank of the G especies). The D species can live with A and G, we're gonna put in the tank 1 because can live with B species too. The E species can live with A and F, we're gonna put in the tank 2 (the tank of the F species) because the E species can't live with D that is in the in the tank 1. Al last, the H species just can live with A, E, F, and H species, by this reason, the only tank that can be put is the tank 2. In this form, the order is the next:

  • Tank 1: <em>A, B, D</em>.
  • Tank 2: <em>F, E, H</em>.
  • Tank 3: <em>G, C</em>.

And t<u>he owner of the pet store must buy three different tanks to display these tropical fish</u>.

5 0
3 years ago
-4x+5y-3-11x-y<br><br> Does -3 have a like term?
-BARSIC- [3]

Answer:

nope ❎ ❎ ❎ ❎ ❎ ❎ ❎ ❎

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is 6 to the second power divided by two times three plus four?
    9·1 answer
  • How much is 4% of 2000.00
    14·2 answers
  • A line has a slope of and a run = 50. What is the rise?
    14·1 answer
  • Jose has determined he needs to have $800,000 for retirement in 30 years. His account earns 6% interest.
    13·1 answer
  • If f(x) is discontinuous, determine the reason. f(x)= {x^2 +4, x&lt;=1; x+3, x&gt;1}
    12·1 answer
  • Simplify (1+2i)(5-3i)
    10·1 answer
  • What is the result of isolating Y squared in the equation below 4X squared +25Y squared -100
    11·1 answer
  • Point M is the midpoint of AB¯¯¯¯¯¯¯¯. Find the length of AB¯¯¯¯¯¯¯¯.
    10·1 answer
  • AD=7, BD=3, DE=6. Find BC
    13·1 answer
  • QUICK HELP HURRY MAKRIMG PIEPLE AS BRIANLDIT
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!