Answer:
Step-by-step explanation:
f(4) = -1
g(4) = -2
(f + g)(4) = f(4) + g(4) = -3
Hope that helps!
7,500 plus the commision is 525 now you add it to the 7,500 that will leave you with 8,025 now you subtract it from 185,000 so the answer will be 176,975
I'm glad if it helps :)
Answer:
In a certain Algebra 2 class of 30 students, 22 of them play basketball and 18 of them play baseball. There are 3 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
I know how to calculate the probability of students play both basketball and baseball which is 1330 because 22+18+3=43 and 43−30 will give you the number of students plays both sports.
But how would you find the probability using the formula P(A∩B)=P(A)×p(B)?
Thank you for all of the help.
That formula only works if events A (play basketball) and B (play baseball) are independent, but they are not in this case, since out of the 18 players that play baseball, 13 play basketball, and hence P(A|B)=1318<2230=P(A) (in other words: one who plays basketball is less likely to play basketball as well in comparison to someone who does not play baseball, i.e. playing baseball and playing basketball are negatively (or inversely) correlated)
So: the two events are not independent, and so that formula doesn't work.
Fortunately, a formula that does work (always!) is:
P(A∪B)=P(A)+P(B)−P(A∩B)
Hence:
P(A∩B)=P(A)+P(B)−P(A∪B)=2230+1830−2730=1330
Answer:
The two integers are 23 and 12
Step-by-step explanation:
Let the two integers be f and g
Let f be the biggest and g the smallest integer
From the first statement, the sum of the two integers is 35 i.e
f + g = 35. (1)
From second statement, we were told that when the smaller integer is subtracted from twice the larger, the result is 34 i.e
2f — g = 34. (2)
Now we'll solve by elimination method as follows:
Add equation (2) and (1) together:
2f — g = 34
+ f + g = 35
3f = 69
Divide both side by the coefficient of f i.e 3
f = 69/3
f = 23
Substituting the value of f into equation(1)
f + g = 35
23 + g = 35
Collect like terms
g = 35 — 23
g = 12
The two integers are 23 and 12
