Step 1
Collinear points are a set of three or more points that exist on the same straight line. Collinear points may exist on different planes but not on different lines.
Step 2
Graph the points; (-5,2),(0,6),(6,4)
Step 3
Conclude based on step 2
Since the points are not a straight line, we can conclude that the 3 points are not collinear.
It the outside of a figure
1500 + 0.45x < 1.70x
1500 < 1.70x - 0.45x
1500 < 1.25x
1500/1.25 < x
1200 < x.....so she would have to sell 1201 cards to make a profit
630 red marbles
420 yellow marbles
210 purple marbles
because 1260 x 1/2 = 630, 1260 x 1/3 = 420, 1260 x 1/6 = 210
Let
A = event that the student is on the honor roll
B = event that the student has a part-time job
C = event that the student is on the honor roll and has a part-time job
We are given
P(A) = 0.40
P(B) = 0.60
P(C) = 0.22
note: P(C) = P(A and B)
We want to find out P(A|B) which is "the probability of getting event A given that we know event B is true". This is a conditional probability
P(A|B) = [P(A and B)]/P(B)
P(A|B) = P(C)/P(B)
P(A|B) = 0.22/0.6
P(A|B) = 0.3667 which is approximate
Convert this to a percentage to get roughly 36.67% and this rounds to 37%
Final Answer: 37%
