Answer:
(a) $54
(b) $60
(c) $30
(d) $6.3
Step-by-step explanation:
Suppose a month has 30 days. Then the expected expense for the whole month is 30 times the expected expense at each day
(a) E[F] = 30*30%*$6 = 30*0.3*6 = $54
(b) E[T] = 30*50%*$4 = 30*0.5*4 = $60
(c) E[C] = 30*4%*$25 = 30*0.04*25 = $30
(d) Suppose all events are independent, the probability that she would spend on all 3 items on the same day is
P[F+T+C] = 0.3*0.5*0.04 = 0.006
So the expected expense she would make on all 3 items is
E[F+T+C] = 30*0.006*(6+4+25) = $6.3
In general, a solution of a system in two variables is an ordered pair that makes BOTH equations true. In other words, it is where the two graphs intersect, what they have in common. So if an ordered pair is a solution to one equation, but not the other, then it is NOT a solution to the system
The period will change coefficient of x by 2 pi / pi/2 = 4
and the vertical shift will add 3 so its
sin 4x + 3
Hope this helps
Answer:
8
Step-by-step explanation:
Answer: 51.5 inches
Step-by-step explanation: The high jumper will be making seven jumps, increasing by 1/2 inch each time. In order to calculate how much it will be moved up from the original position we need to multiply 1/2 x 7 jumps = 3.5 inches. In order to calculate how high the bar will now be, we need to add together the original 48 inch height plus the 3.5 inches that it was been raised, so they total is 51.5 inches high.