Asingle card is randomly drawn from a deck of 52 cards. a, find the probability that it is an ace. b. find the probability that it is a number less than 5 (not including the ace).

P( ace) = 1/13

P (< 5) = 3/13

Step-by-step explanation:

There are 4 Aces in a deck of cards, 1 in each suit

P (ace) = number of aces/ total cards

           = 4/52 = 1/13

Numbers less than 5: 4 twos, 4 threes, 4  fours =12 cards less than 5 ( since we do not include aces)   There are 4 of each card since there is one in each suit.

P ( card < 5) = cards less than 5/ total

                     =12/52 = 3/13

A: 1/13    B: 3/13

Step-by-step explanation:

There are 4 aces in a deck. 4/52=1/13

If you are talking about 2,3,4 then 12/52=3/13

If you include the 5 it is 16/64= 4/13

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752