First, let's subtract the whole pool by the water currently in to find the water needed to fill it:
4500 - 1500 = 3000
Because we need to represent an inequality:
30m = 3000
Divide both by 30:
m = 100
It will take 100 minutes
Answer:
- Emma made a mistake. The slope should be -40.
Step-by-step explanation:
<u>Pair of points (x, y):</u>
- (165, 900) and (180, 300)
<u>Slope formula:</u>
<u>Calculate the slope:</u>
- Slope = (300 - 900)/(180 - 165) = -600/15 = -40
Answer:


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".
Solutio to the problem
Let X the random variable that represent the amount of beer in each can of a population, and for this case we know the distribution for X is given by:
Where
and
For this case we select 6 cans and we are interested in the probability that the total would be less or equal than 72 ounces. So we need to find a distribution for the total.
The definition of sample mean is given by:

If we solve for the total T we got:

For this case then the expected value and variance are given by:


And the deviation is just:

So then the distribution for the total would be also normal and given by:

And we want this probability:

And we can use the z score formula given by:


Answer:
They are parallel because their slopes are equal
Step-by-step explanation:
Price before tax = $18
Tax = 7% x $18 = 0.07 x 18 = $1.26
Price after tax = $18 + $1.26 = $19.26
Answer: $19.26