Let's first denote:
F - a favorable response
F' - an unfavorable response
S - successful
We know that:
So, from the conditional probability, we can calculate:
Answer E.
Answer: Bottom-Right corner
The points are (-5,6) (-5,-6) (4,-6)
-----------------------------------------
Explanation:
What you do is go through each of the answer choices, plot the points, and see which give you a right triangle. A right triangle has one 90 degree angle.
The upper-left choice leads to an obtuse triangle, so we can cross that off the list. It turns out that the other choices lead to right triangles.
The upper-right choice has a hypotenuse of roughly 11.18, so that's also eliminated
The bottom-left choice has a hypotenuse of 10.82, which means we cross that off the list
The bottom-right choice has a hypotenuse of 15, so we found the answer
Note: you use the distance formula to find the length of the hypotenuse. The distance formula is
d = sqrt((x1-x2)^2+(y1-y2)^2)
You multiply -4 to everything inside of the parenthesis which is 20w+12u-8
Answer:
x ≥ 12.5
Step-by-step explanation:
2(x-9) ≥ 17---Use Distributive Property
2x-18 ≥ 17
2x-18+18 ≥ 17+18
2x ≥ 25
2x/2 ≥ 25/2
x ≥ 12.5
I hope this helps!
Answer:
7
Step-by-step explanation:
the altitude creates two congruent 30-60-90° triangles
the ratio of the sides in a 30-60-90°, respectively, are 1 : : 2
therefore we can set up a proportion to find the side length:
let 'x' = side length of equilateral Δ
/ 1 = 21 / x
cross-multiply:
x = 21
x = 21 /
rationalize the denominator by multiplying numerator and denominator by
21 / · = 21 / 3 or 7
