Answer:
R(x) = 8999.93x
Step-by-step explanation:
The original price is $9000 per unit. The unit is x, so if you buy x units, you pay 9000x.
The original price function is
R(x) = 9000x
The discount is 7 cents per unit bought, so if you buy x units, the discount is 9x in cents, or 0.09x in dollars. This discount is subtracted from the original price, so the discounted price is
R(x) = 9000x - 0.07x
R(x) = 8999.93x
Answer: R(x) = 8999.93x
-2x would be the missing term.
The ratio of the volume would be (3/1)^3 which = 27/1
You need to understand that you're solving for the average, which you already know: 90. Since you know the values of the first three exams, and you know what your final value needs to be, just set up the problem like you would any time you're averaging something.
Solving for the average is simple:
Add up all of the exam scores and divide that number by the number of exams you took.
(87 + 88 + 92) / 3 = your average if you didn't count that fourth exam.
Since you know you have that fourth exam, just substitute it into the total value as an unknown, X:
(87 + 88 + 92 + X) / 4 = 90
Now you need to solve for X, the unknown:
87
+
88
+
92
+
X
4
(4) = 90 (4)
Multiplying for four on each side cancels out the fraction.
So now you have:
87 + 88 + 92 + X = 360
This can be simplified as:
267 + X = 360
Negating the 267 on each side will isolate the X value, and give you your final answer:
X = 93
Now that you have an answer, ask yourself, "does it make sense?"
I say that it does, because there were two tests that were below average, and one that was just slightly above average. So, it makes sense that you'd want to have a higher-ish test score on the fourth exam.
Answer:
a. 1/26 , 3.8462%
b. 2/3, 66.7%
c. 1/6, 16.67%
Step-by-step explanation:
a. There are 54 cards in a standard deck, and 4 of each card
b. There are 6 possible numbers, and 4 are less than five