Answer:
Step-by-step explanation:
Given that from a well shuffled set of playing cards (52 in number) a card is drawn and without replacing it, next card is drawn.
A - the first card is 4
B - second card is ace
We have to find probability for
P(A) = no of 4s in the deck/total cards = 
After this first drawn if 4 is drawn, we have remaining 51 cards with 4 aces in it
P(B) = no of Aces in 51 cards/51 = 
Hence
(Here we see that A and B are independent once we adjust the number of cards. Also for both we multiply the probabilities)
Well 200 beats per second is 12,000 beats a minute times 3 for 3 minutes is 36,000 beats every three minutes
Answer:
Step-by-step explanation:
Given:
The given function in terms of 'a' is given as:
In order to determine 
, we need to make 
equal to 'x' and find the value of 'a'. Therefore,
Now, plug in the value of 'a' on both sides, we get:
Therefore, the expression for the function in terms of 'x' is:
At $19,430 savings with 1.8% annually, the amount yields to $21,528.44 after six years. On the other hand, the deposits of $16,470 at 2.7% simple annual interest creates only $19,138.14. This means that the 2nd strategy works better than the first one. The situation where simple interest occurs naturally is when the principal doesn't change over time. This is true with an interest-only mortgage, for example, where your monthly payments only pay the interest on your loan, but don't pay down the loan itself.
Answer:
see explanation
Step-by-step explanation:
The area (A) of the square = s² ( s is the measure of the side )
Here s = x + 2 and A = 7 , thus
(x + 2)² = 7 ← expand left side using FOIL
x² + 4x + 4 = 7 ( subtract 4 from both sides )
x² + 4x = 3 ← as required
