Answer:
Step-by-step explanation:
(f.g)(x) = (x² - 2x + 3) (x³ - 4)
= x²* (x³ - 4) - 2x* (x³ - 4) + 3 * (x³ - 4)
= x²*x³ - x²*4 - 2x*x³ - 2x*(-4) + 3*x³ - 3 * 4
= x⁵ - 4x² - 2x⁴ + 8x + 3x³ - 12
= x⁵ - 2x⁴ + 3x³ - 4x² + 8x - 12
Answer:
P ( X > 5 ) = 72,2 %
Step-by-step explanation:
The probability of success ( outcomes bigger than 5 )
If dice 1 outcome is 6 no matter wich outcome we get from dice 2 all events are successful, the we have 6 outcomes
If dice 1 outcome is 5 we also have 6 outcomes
If dice 1 outcomes is 4 we have 5 positive outcomes
If dice 1 outcome is 3 we have 4 positive outcomes
If dice 1 outcome is 2 we have 3 positive outcomes
if dice 1 outcome is 1 we have 2 positive outcomes
Total evaluating dice 1: positive outcomes 26
We will get the sames results analysing dice 2 then we have a total of
52 successful events
And total numbers of outcomes is 36 + 36 = 72
Then
P ( X > 5 ) = 52/72
P ( X > 5 ) = 0,722
P ( X > 5 ) = 72,2 %
Answer:
Nolan hitted 8 home runs
Step-by-step explanation:
Let's call the number of home runs that Nolan hitted by N, and that Davis hitted by D.
So, we can write the following equations:
N = 2 * (D - 6)
N + D = 18
Now we can solve the system of equations, using the value of N from the first equation in the second one:
2 * (D - 6) + D = 18
2*D - 12 + D = 18
3*D = 30
D = 10
Now we find N:
N + D = 18
N + 10 = 18
N = 8
So we have that Nolan hitted 8 home runs.
Answer:
15, 5, 5/3, 5/9, 5/27
Step-by-step explanation:
Recall, that the general form of a geometric series is
a, ar, ar², ar³, .........
where a is the first term and r is the ratio
It is given that the first time is 15, hence a = 15
also given that ratio is 1/3
hence the first 5 terms are:
15, (15)(1/3), (15)(1/3)^2, (15)(1/3)^3, (15)(1/3)^4
simplifying each term gives
15, 5, 5/3, 5/9, 5/27
Answer:
2/6 is probably your answer
Step-by-step explanation:
