Answer:
P(2 quarters) = 19/ (13*16) = 19/208 = 0.0913
Step-by-step explanation:
probability of getting 2 quarters?
ok
first draw: there are 20 quarters to choose from
second draw: there are 19 quarters left to choose
so Total coins are 65 coins
P(2 quarters) = P( 1st quarter)* P(2nd quarter)
P(2 quarters) = 20/65 * (19/64)
P(2 quarters) = 4/13 * 19/64
P(2 quarters) = 19/ (13*16) = 19/208
Answer:
h=-4
Step-by-step explanation:
Use the Distributive law:
1. -3(h+5) gives us -3h-15 then you add your two(2).
the whole of your left side of the equation will give you -3h-13
2. 4(h+6) gives us 4h+24 then you subtract nine(9).
the whole of the right side of the equation will give you 4h+15
3. equate the two like this:
-3h-13=4h+15
4. group like terms of each side:
-13-15=4h+3h
5. Add and Subt<u>r</u>act
-28=7h
6. Decide both sides by 7 to make h the subject of the formula
7. Congratulations you got your answer as h=-4
The answer to the question
Answer:

Step-by-step explanation:
Because we have to rewrite this equation in the format
, we have to divide, or factor to find basic terms,
Expanding the value of k(x), we have
. We see that each term can be divisible by 4, so we can factor out 4 to get

Now, we have two different terms getting multiplied. We can separate the two to get 
Because we are multiplying 4 by the other term, this is represented by 
Now, we can just set f(x) and g(x) to these functions:

Now, just to make sure, we can plug a value into k(x) and the same value into f(g(x)). Plugging in 1, we have (2(1)+4)2 as 2(2+4), which is 2(6) = 12.
Plugging 1 into f(g(x)), we can evaluate g(1) first, to get 1 + 2 = 3. Now, f(3) = 4(3)= 12, which is the same for k(x).