Answer:
(f/g)(x) = f(x)/g(x) = [4x-5]/[3x]
The average time taken by each student to complete a project is given by:
A. the mean.
<h3>What is the mean?</h3>
The mean of a data-set is given by the <u>sum of all observations in the data-set divided by the number of observations</u>.
The average time has to include all students, which excludes the median(50th percentile) and the mode(most common value), hence option a is correct.
More can be learned about the mean of a data-set at brainly.com/question/24628525
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Answer:
<u>The number of pens = 120 and the number of pencils = 200</u>
Step-by-step explanation:
Let the number of pens x, and the number of pencils is y
the cost of one pen $1, and the cost of one pencil $0.5
The cost of the whole purchase was $220
1 * x + 0.5 * y = 220
x + 0.5 y = 220 ⇒ eq.(1)
there were 80 more pencils than pens
y - x = 80 ⇒ eq.(2)
from eq.(2) x = y - 80
By substitution with x from the last equation at eq.(1)
∴ (y - 80) + 0.5 y = 220
1.5y = 220 + 80 = 300
y = 300/1.5 = 200
x = y - 80 = 200 - 80 = 120
<u>So, the number of pens = 120 and the number of pencils = 200</u>
the question does not present the options, but this
does not interfere with the resolution
Let
x--------> the number of color copies
y-------> the number of black-and-white copies
we know that
x+y=6--------> equation 1
3x+y <=12------> equation 2
using a graph tool
see the attached figure
the solution is the triangular shaded region