(15 points) a card is drawn from a deck of 52. what is the probability of drawing either a diamond or a seven?
a) 6/13
b) 17/52
c) 19/52
d) 4/13

The correct answer is 4/13

Step-by-step explanation:

The events "drawing a diamond or a seven" are inclusive events since there is a seven of diamonds. Follow the rule for inclusive events.

P(A ∪ B) = P(A) + P(B) − P(A ∩ B)

Hope this helps! :)

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: