Answer:
a. 3/13 or 23.08%
b. 1/13 or 7.69%
c. 1/4 or 25.00%
d. 1/52 or 1.92%
Step-by-step explanation:
Number of cards in a deck = 52
a. A face card
Considering there are four suits and each suit has three different face cards, the probability that the card is a cafe card is:

b. A queen
There are 4 queens in the deck, on of each suit, thus the probability of getting a queen is:

c. A spade
There are four suits with the same number of cards in a deck, therefore, the probability of getting a spade is:

d. A jack of spades
Since there are no repeated cards, there is only one jack of spades in a 52 cards deck:

Answer:
symmetric property
Step-by-step explanation:
For all real numbers x and y ,
if x=y , then y=x .
Order of equality does not matter.
Answer:
infinitely many answers, any odd integer n times π/2
ex. π/2, 3π/2, 5π/2
Step-by-step explanation:
we know that cos (π/2) or cos(3π/2) is 0
if one factor is 0, the product is zero, so we will not care about csc(x).
x is any odd integer n times π/2
Answer:
Q' (2,4)
R' (3,1)
S' (5,3)
Step-by-step explanation:
When reflected across x-axis, the x-values stay the same but y-values change signs. Because you count how many points till the reflection line then same amount you have to go to the other side. But since it is saying x-axis, the reflection line is on x=0 so you just change the sign.
Answer:
22
is the answer
Step-by-step explanation: