The error.....Kelvin just figured the 60% markdown cost...not the final price
the final price would be : 30.65 - 0.60(30.65) = 30.65 - 18.39 = 12.26
so 12.26 is the final price
or another way to do this is : if it is marked down 60%, then u r actually paying 40%......0.40(30.65) = 12.26
For rectangle
l=3.07m
b=2.24m
so longest side that can be drawn is diagonal of rectangular board
=squareroot l^2+b^2
=squareroot3.07^2+2.24^2
=squareroot9.4249+5.0176
=squareroot14.4425
=3.80
So longest line that can be drawn in rectangular board is 3.80m
It's A. Segments that intersect at the right angle
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:


So for every gallon he can drive 50 miles. So I think the slope would be 50/-1