Answer:
A
Step-by-step explanation:
Answer:
X=20
Step-by-step explanation:
The simplified expression is 
Step-by-step explanation:
Here, the total number of cards in a given deck = 52
let E : Event of drawing a first card which is King
Total number of kings in the given deck = 4
So,
= 
Now, as the picked card is NOT REPLACED,
So, now the total number of cards = 52 - 1 = 51
Total number of queen in the deck is same as before = 13
let K : Event of drawing a second card which is queen
So,
= 
Now, the combined probability of picking first card as king and second as queen = P(E) x P(K) = 
Hence, the simplified expression is 
Answer:
A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct
Step-by-step explanation:
step 1
Find the area of the base of the rectangular pyramid
we know that
The volume of the rectangular pyramid is equal to

where
B is the area of the base
H is the height of the pyramid
we have


substitute and solve for B



step 2
Find the volume of the rectangular prism with the same base area and height
we know that
The volume of the rectangular prism is equal to

we have


substitute

therefore
The rectangular prism has a volume that is three times the size of the given rectangular pyramid. Shannon is correct
Answer: The value of A would be 2.