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 =
~ 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(
<
) = 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 .
Answer:

Step-by-step explanation:
<u>Step 1: Make an equation</u>
<u />
<u>Step 2: Cross multiply</u>
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<u>Step 3: Divide both sides by 32</u>
<u />

Answer: 
This is a downward facing parabola, so its range comes in the form
where m is the y coordinate of the vertex of the parabola.
We can find the x coordinate of the vertex using

And if we plug -1 in the equation we get the y coordinate of the vertex:

So, the range is the interval

Answer:
a. n x (2n +1) = 10
b. length: 5 width: 2
Step-by-step explanation:
5 is 1 more then 2 times 2
Answer:
5(a-b)=3(a+b)
5a-5b=3a+3b
2a-2b=0
2a=2b
a=b
a:b=1
Step-by-step explanation: