Problem 7. 20 pts kirk, spock, uhura, and scotty are playing a game of cards. they shuffle a complete deck of 52 cards and then distribute all the cards evenly among themselves. given that each of them gets an ace, what is the probability that kirk has the ace of spades?

Our required probability would be

Step-by-step explanation:

Since we have given that

Let A be the event that Kirk has the ace of spades.

Let B be the event that everyone has an ace.

So, P(A)  =

P(B) =

And P(A∩B) =

So, P(Kirk has the ace of spades | each of them gets an ace)

Hence, our required probability would be

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4

the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

have a nice day!