Answer:
CD = 3.602019190339
Step-by-step explanation:
CD = DA - CA
DA = DB×Cos(29) = 18.7×cos(29) = 16.355388523507
BA = BA×cos(43) = 18.7×cos(43) = 13.676314220278
CA = BA÷tan(47) = 13.676314220278÷tan(47) = 12.753369333168
Then
CD = 16.355388523507 - 12.753369333168 = 3.602019190339
1200 - 450 = 750 liters that he needs to fill up
81.5 x 750 = €61,125
€61,125 x 0.075 = €4,584.38 (discount as a loyal customer)
total paid with discount = €61,125 - €4,584.38 = €56,540.62
answer
Mr. Leonard gets €4,584.38 discount on his purchase
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:
1×3 or 3×3 I think...........
Solution :
It is given that we have a null and an alternative hypothesis. The hypothesis are :
We have to find if the cost of average home has decreased or not in this month.
So it is given that the test statics is -1.79, so the p value associated with the test statics is less than ( α ) 0.01
Therefore, we can conclude that the cost of the average house is less than $ 240,000.
