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: 1211.6585 years
<u>Step-by-step explanation:</u>
The equation for exponential growth is: 
- P: final population
- P₀: initial population
- k: rate of decay (or growth)
- t: time
Use the half life information to find k:
Next, input the information (65% decayed = 35% remaining) and the k-value to find your answer.
Answer:
282.6 inches cubed
Step-by-step explanation:
The volume of the cylinder with radius 3 in and height 10 in is
Well, if the the triangle is rotated clockwise it will lie in quadrant 4. if it is rotated anticlockwise it will lie on quadrant 2
hope this helps
Answer:
A) y = -5/8x + 6
Step-by-step explanation:
y2 - y`1 / x2 - x1
7/2 - 11 / 4 - (-8)
-15/2 / 12
= -5/8
y = -5/8x + b
11 = -5/8(-8) + b
11 = 5 + b
6 = b
