I'm assuming you meant to say f(x) = 3x^2. If that assumption is correct, then the degree is found by multiplying the leading terms from both f(x) and g(x). The leading terms are 3x^2 and 4x^3
3x^2*4x^3 = (3*4)*(x^2*x^3) = 12x^(2+3) = 12x^5
The exponent of that result is 5, so the degree of (f*g)(x) is 5
Answer: 5
Answer:
P(A) = 44.44%
P(B) = 50%
P(B|A) = 37.5%
P(B|A) different from P(B).
A and B are independent.
Step-by-step explanation:
If we have a total of 180 students, and 80 of them have a Playstation, we have that P(A) = 80/180 = 0.4444 = 44.44%
If we have 90 students that have a Xbox, we have that P(B) = 90/180 = 0.5 = 50%
If we have 30 students that have both consoles, we have that P(A and B) = 30/180 = 0.1667 = 16.67%
To find P(B|A), we will find for a student that has an Xbox inside the group of students that has a Playstation, that is, we have 30 students in a total of 80 students, so P(B|A) = 30/80 = 0.375 = 37.5%
P(B|A) is different from P(B), the first is 37.5% and the second is 50%, so events A and B are independent events.
Answer:
Yes
Step-by-step explanation:
The amount of money Albert receives is described by the expression

The graph is shown below.
To determine if the relation is a function, we can use the vertical line test:
If a vertical line crosses the graph more than once in any location, the relation is not a function.
We see that at no place will a vertical line intersect the graph more than once.
The relation is a function.
To add numbers, their units should be the same. We need first to convert the quarters and dimes into cents.
4 quarters is equal to 100 cents, while a dime is equal to 10 cents.
In formula, the answer would be 100+10x. ( x refers to the number of dimes)