Answer:
Step-by-step explanation:
1. 2x + y
2. 48 + 60 = 108
3. 840 - 210 = 630
Answer: (2x - 1)(3x - 4)
(split -11x as -8x and -3x)
Step-by-step explanation:
I am assuming that it is actually 6x^2 - 11x + 4
To find out how to split the middle term: The two numbers should multiply to a*c (6*4 = 24) and add to b (-11)
-8, -3 works
(6x^2 - 8x) + (-3x + 4)
2x(3x - 4) + -1(3x - 4)
(2x - 1)(3x - 4)
Answer: 3
Step-by-step explanation:
56 = 4
42 = x
56x = 168
x=3
Answer: Find the greatest common factor, and put in parentheses outside of the expression
Step-by-step explanation:
The greatest common factor is the largest number that all terms are divisible by. Here is an example: 4x+8y+12 In this example the greatest common factor is 4. So, first we divide the expression by 4 and put it in parentheses, giving us (x+2y+3). However, (x+2y+3) does not equal 4x+8y+12. We need to put the 4 we divided by in front of the parentheses, giving us 4(x+2y+3), which does equal 4x+8y+12. Hope this 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
