P(A U B) = P(A) + P(B) - P(A and B)
P(A | B) = P(A and B) / P(B)
36-40= -4
36 subtracted by 40 equals negative 4
-4
First find the slope of the line DM using the slope formula: .
Use the points D(0, 2) and M(-3, -5). Substitute in -5 for y2, 2 for y1, -3 for x2, and 0 for x1.
, subtract the coordinate points.
= ; the slope of the line DM is 7/3.
Perpendicular lines have opposite reciprocal slopes, meaning you switch the sign (say for example a negative becomes a positive, a positive becomes a negative) and you flip the fraction over (for example 1/2 becomes 2/1 and 2/1 becomes 1/2).
The opposite reciprocal of 7/3 is -3/7, so the line perpendicular to the line DM has a slope of -3/7.
Answer:
0.1090908
Step-by-step explanation:
Given :
R = red blocks
Y = yellow blocks
G = green. blocks
n(R) = 6 ; n(Y) = 2 ; n(G) = 4
Total blocks = 6 + 2 + 4 = 12
Probability that all blocks are of same color :
P(RRR) or P(YYY) or P(GGG)
P(RRR) = 6/12 * 5/11 * 4/10 = 0.0909090
P(YYY) = 2/12 * 1/11 * 0/10 = 0
P(GGG) = 4/12 * 3/11 * 2/10 = 0.0181818
Hence,
0.0909090 + 0 + 0.0181818
= 0.1090908