Answer: 2x-6
Work Shown:
john = x
sam = x-3 since he scored 3 fewer than john
rob = 2*(sam) = 2(x-3) = 2*x-2*3 = 2x-6
You would take the points (x1,y1) and add them into the equation y-y1=m(x-x1). In this equation m is the slope and that equals -4
162 m^2
you can make a triangle in the corner with legs length s/2 and the angles are 45 degrees. in a 45 45 90 triangle, the legs are h/sqrt(2) where h is the hypotenuse. this means that s/2=9/2 sqrt(2), s=9 sqrt(2)
and s^2=162
Answer:
a) 0.2778
b) 0.3611
c) 0.1389
d) 0.0833
Step-by-step explanation:
We have a total of 5 + 3 + 1 = 9 balls
a) First ball being yellow: we have 5 yellow balls, so P1 = 5/9
Second ball being yellow after one yellow was drawn: we have 4 yellows and 8 balls, so P2 = 4/8 = 1/2
Both yellows: P = P1 * P2 = 5/18 = 0.2778
b) Both blues:
P1 = 3/9 = 1/3
P2 = 2/8 = 1/4
P = P1 * P2 = 1/12 = 0.0833
Both yellows or both blues: 5/18 + 1/12 = 0.2778 + 0.0833 = 0.3611
c) First yellow: P1 = 5/9
Second red: P2 = 1/8
Pa = P1 * P2 = 5/72
or
First red: P3 = 1/9
Second yellow: P4 = 5/8
Pb = P3 * P4 = 5/72
P = Pa + Pb = 10/72 = 5/36 = 0.1389
d) First blue: P1 = 3/9 = 1/3
Second red: P2 = 1/8
Pa = P1 * P2 = 1/24
or
First red: P3 = 1/9
Second blue: P4 = 3/8
Pb = P3 * P4 = 1/24
P = Pa + Pb = 2/24 = 1/12 = 0.0833
You can solve it as 3*500+3*80+3*4. It the same as solving it normally, since you're essentially solving it as above (one place value at a time).
