C. x³ - x²
In word problems, there terms which indicate the mathematical operation that needs to be performed.
difference = refers to the answer in subtraction
triple a number or double a number refers to the number of times a number is multiplied by itself.
in triple a number = a number is multiplied by itself three times.
in double a number = a number is multiplied by itself two times.
It would initially look like this: (x * x * x) - (x * x); to simplify the expression, a number to be multiplied is written down and the number of times it will multiply by itself is noted on the upper right side of the number when we look at it.
Thus: x³ - x² is the correct expression that best describes the word problem above.
Answer:
150ft²
Step-by-step explanation:
surface area = (2×½×8×3)+(8+5+5)×7
= 24+126
= 159 ft²
Answer:
The final price would be $26.95
Step-by-step explanation:
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:
6
Step-by-step explanation:
cancel out 5 by multiplying its by 5, what you do to one side you do to the other. so you also multiply 12 by 5. and you should get 60