12. I assume
denotes the complement of A, so

Then by definition of conditional probability,

13. By inclusion/exclusion,

Answer:
x=90 degrees
y=142 degrees
z=128 degrees
Step-by-step explanation:
The slope of a function is the ratio of the rise (y2 - y1) and the run (x2-x1) of a function, In this case the slope would be (1 - 0) / (1-0) = 1. The y-intercept would be the y value when x is zero. From the table we see this will have a value of zero. The equation for this function would be y = x. We use the said equation to fill the blanks in the table.
I wouldn't say that. It looks to me like you've absolutely got it ... almost.
A). Your fraction is correct. But it's not in simplest form like they want it.
Reduce 18/45 to simplest form. Hint: Divide top and bottom by 9 .
B). They want the percentage that's the same as 18/45 .
Do you remember how to change a fraction to percent ?
A fraction is just a short way to say "division".
" 18/45 " means " 18 divided by 45 ".
Do the division. To change the quotient into percent, multiply it by 100 .
(Same as moving the decimal point 2 places to the right.)
Round it the nearest whole number, if it isn't already a whole number.
C). Again, your fraction is correct, but it isn't in simplest form.
Reduce 27/45 to simplest form. Hint: Divide top and bottom by 9 again.
D). Change this fraction to percent, just like you did for the female fraction.
(Do the division that the fraction says, and multiply the quotient by 100.)
(Round to the nearest whole number percent if it isn't already.)
You already did the technical stuff. I just added some mechanical things.

<u>Step-by-step explanation:</u>
When you plug in 3 directly to the equation, you get 0/0
Since it is indeterminate, you have to use L'Hopital's Rule.
That means that you find the limit of the DERIVATIVE of the numerator and the DERIVATIVE of the denominator.
