Answer: The probability that the first card and second card that Christa selects WITH replacement will be a "6" of spade and an "8" of club respectively is 1/2704 or 0.0003698
Step-by-step explanation:
Since Christa is picking up the game cards from a normal deck of cards, we assume that the cards were picked from a deck of 52 complete cards.
A club contains a total of 13 cards and a spade contains a total of 13 cards as well.
The next step is to find the probability of picking up a 6 of spade alone from the complete deck of cards. Since there is only one "6" of spade in the entire deck of 52 cards, then the probability of picking it up = 1/52
Similarly, there is just one "8" of club in the entire deck of 52 cards, so the probability that it will be picked up is 1/52
Then, if Christa proceeds to select 2 cards WITH replacement from the deck of 52 game cards, the probability that the first card is a "6" of spades and the second card is an "8" of club:
= [1/52] × [1/52] (since it's WITH replacement)
= 1/2704
Therefore the probability that the first card is a "6" of spades and the second card is an "8" of club is 1/2704 or 0.0003698
Answer:
The second term of the sequence is T(2) = 6.
Step-by-step explanation:
Here, the first term is given as
T(1) = 2
The general Formula for nth term is given as:
T(n + 1) = 3(T(n))
Now, here the second term
for, n = 1
T(1+1) = 3 (T(1))
or, T(2) = 3 T(1)
⇒ T(2) = 3 x 2 = 6
Hence, the second term of the sequence is T(2) = 6.
2 because I know the answer
Answer:
y = -1/5x + 2.6
Step-by-step explanation:
Put the equation into slope intercept form:
5x - y = 12
-y = -5x + 12
y = 5x - 12
The slope of a perpendicular line will be the opposite reciprocal.
So, the slope of the new line will be -1/5
Then, plug this slope and the given point into the equation y = mx + b to find b
y = mx + b
3 = -1/5(-2) + b
3 = 0.4 + b
2.6 = b
So, the equation will be y = -1/5x + 2.6
Just multiply the sum of the light