Answer:
s(r(4)) = 13
Step-by-step explanation:
Substitute and calculate:
s(r(4)) = 13
Mean is average so you sum up all 4 numbers and divide by 4. Answer is 27.6725 or rounded 27.67
Have a nice day. Hope this helps.
Answer:
Step-by-step explanation:
The average scores s (on a 100 point scale) for the students can be modeled by
s = 75 - 6 In(t + 1), 0 < t < 12
where t is the time in months.
a) Since the students were given an exam and then retested monthly with equivalent exams, then,
For the original exam, t = 0
Therefore,
s = 75 - 6 In(0 + 1) = 75 - 6 In1
s = 75 - 6 × 0 = 75
b) the average score after 4 months, t = 4
Therefore,
s = 75 - 6 In(4 + 1) = 75 - 6 In5
s = 75 - 9.66 = 65.34
c) s = 60
Therefore,
60 = 75 - 6 In(t + 1)
6 In(t + 1) = 75 - 60 = 15
In(t + 1) = 15/6 = 2.5
t + 1 = e^2.5 = 12.18
t = 12.18 - 1 = 11.18
t = 11 approximately
we know that
The formula to calculate the slope m between two points is equal to
Step
<u>Find the slope of the function f(x)</u>
Let
substitute the values in the formula above
<u>the slope of the function f(x) is </u>
Step
<u>Find the slope of the function g(x)</u>
Let
substitute the values in the formula above
the slope of the function g(x) is
therefore
slope f(x) > slope g(x)
or
slope g(x) < slope f(x)
<u>the answer is the option </u>
B.The slope of g(x) is less than the slope of f(x).
The answer to your question is 0.