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:
Second Option: 
Step-by-step explanation:
A fraction means to divide.
Therefore,
Answer:
x = 84
y = 96
Step-by-step explanation:
Alternate interior angles are a pair of nonadjacent interior angles that are on opposite sides of the transversal. Alternate interior angles are equal.
Therefore, x = y - 12
Angles on a straight line add up to 180°
Therefore, x + y = 180
Substituting x = y - 12 into x + y = 180 and solve for y:
⇒ y - 12 + y = 180
⇒ 2y - 12 = 180
⇒ 2y = 192
⇒ y = 96
Substitute found value for y into x = y - 12 and solve for x:
⇒ x = 96 - 12
⇒ x = 84
Answer:
279 ft^2
Step-by-step explanation:
The area of a rectangle of length L and width W is A = LW.
Here, that area is (19.25 ft)(14.5 ft) = 279.125 ft^2, or approx. 279 ft^2
Answer:
1/x^2+2x
Step-by-step explanation:
