Answer:
2.5
Step-by-step explanation:
Answer:
Total cost= $51
Step-by-step explanation:
<u>Giving the following information: </u>
Fixed cost= $5
From 0 to 40,000 gallons= $0.0007 per gallon
From 40,001 to infinity= $0.0009
<u>We need to calculate the total cost for 60,000 gallons:</u>
Total cost= 5 + 40,000*0.0007 + 20,000*0.0009
Total cost= $51
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:
A!
Step-by-step explanation:
Hope that helps have an amazing day! <3
