Answer:
52 cards:
26 red and 26 black
P(R) = probability of picking a red card
P(B) = probability of picking a black card
P(R) = P(B) = ¹/₂
If with replacement:
P(R∩B) = (¹/₂)(¹/₂) = ¹/₄
If without replacement:
P(R∩B) = (¹/₂)(²⁶/₅₁) = ¹³/₅₁
8 Balls:
3 red and 5 white
P(R) = probability of picking a red ball
P(W) = probability of picking a white ball
P(R) = ³/₈
P(W) = ⁵/₈
If with replacement:
P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₈) + (⁵/₈)(³/₈)
= ¹⁵/₆₄ + ¹⁵/₆₄
= ³⁰/₆₄
= ¹⁵/₃₂
If without replacement:
P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₇) + (⁵/₈)(³/₇)
= ¹⁵/₄₂ + ¹⁵/₄₂
= ³⁰/₄₂
= ⁵/₇
Answer:
3 is -3, 4 is 3
Step-by-step explanation:
In slope intercept form (y = mx+b)
m is the slope
b is the y-intercept
y = mx+b
y = -1(x) + 3
b = 3
2. 24-7p=10
-7p=-14
p=2
3. x+(x+1)+(x+2)=72
3x+3=72
3x=69
x=23
4. x+(x+2)+(x+4)=48
3x+6=48
3x=42
x=14
7. 40-2x=8
-2x=-32
x=16
8. 1/2x+4=12
1/2x=8
x=16
Answer:
x - 2
Step-by-step explanation:
2x - x = x
-3 - -1 = -2
