Ichoose a card from a standard deck of cards and then i roll a number cube. what is the probability that i choose a heart and roll a 2

Probability of choosing a heart and rolling a 2 =

Step-by-step explanation:

Let A be the event of choosing a heart from a standard deck of cards and

B be the event of rolling a 2.

Clearly, A and B are independent events as none of the events does not affect the probability of occurrence of other event.

Therefore, P(A∩B) = P(A) × P(B)

P(A) =

P(B) =

P(A∩B) = P(A) × P(B)

=

step-by-step explanation:

1. the cylinder is a. 54

2.   a.108 /

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.