Carmen is drawing a card from a standard deck of playing cards. find each probability below. a) what is the probability that she will draw a heart? b) what is the probability that she will not draw a club?

a) 0.25  

b) 0.75

Step-by-step explanation:

The formula to find probability is

Here as deck pf playing cards has 52 cards.

So total outcomes = 52

a)

A deck of cards has 13 hearts.

Favorable outcomes = 13

Probability of drawing a Heart

b)

A deck of cards has 13 cards of clubs.

So the cards which are not clubs = 52-13=39

Hence favorable outcomes = 39

Probability of not drawing a club card

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)