Answer:
Initial Value=15
Rate of change=15/10=1.5
Equation: y=1.5x+15
Step-by-step explanation:
y=ax+b
y=1.5x+b
15=1.5(0)+b
b=15
Answer: a) P = 0.5, b) P = 0.07
Step-by-step explanation:
Hi!
Lets call X₁ the time at which you arrive, and X₂ the time at which Bob arrives. Both are random variables with uniform density in the interval [0, 60] (in minutes). Their joint distribuition is uniform over the square in the image, with value P = 1/(60*60) = 1/3600.
a) For you to get more cake than Bob, you should arrive earlier. This event is A = { X₁ < X₂ }, the shaded triangle in the figure.The area of this event (set) is half the total area of the square, so P(A) = 0.5.
It makes sense, beacuse its equally probable for you or Bob to arrive earlier, as both have uniform density over the time interval.
b) In this case you arrive later than Bob, but less than 5 minutes later. So the event is B = { X₂ < X₁ < (X₂ + 5) } . This is the gray shaded area in b) part of the image. Its area is the difference two triangles (half square - blue triangle), then the probability is:

Answer:
p = 55 + 35h
Step-by-step explanation:
Let p and h represent the price of the service call and the hours worked, respectively. The price charged is 35 dollars for each hour, so the time-based part of the price is 35h. The base fee of 55 dollars is added to that for a total price of ...
p = 55 + 35h
Answer:
2.
Step-by-step explanation:
-10 divided by -5 is 2. The two negatives cancel each other out.