The decay factor would be 1 minus the percent of decrease:
1-0.12 = 0.88
One scale factor equation is y=cx
y is the new factor (in this case, 60 or 75)
c is the scale factor (in this case, unknown)
x is the old factor (in this case, 24 or 30)
so: plug in the values
60=c(24) divide both sides by 24
c=2.5
you can check again with the other numbers
75=c(30) divide both sides by 30.
c= 2.5
your scale factor is 2.5
Answer:
- <u><em>A. Both numbers are statistics.</em></u>
Explanation:
The number 94.6 is an average measure from a <em>sample</em>. It is the mean of a sample.
The number 65.3 is the standar deviation of a sample.
Then, thus numbers are used to estimate the values of the population.
The true mean and the standard deviation of a population are constant numbers; many times unknown (specially when the population is too big). As ,those values are <em>parameters</em> of the population, regardless they are known or not.
When, they are not known, the statistician must estimate them. The statistician does it using samples (one or more). Such <em>estimated values are not parameter but statistics.</em>
Statistics are values for a sample and may (in general will) vary from sample to sample, while the parameters, which belong to the population are fixed values.
Answer:
-1.
Step-by-step explanation:
First find the derivative of f(x):
f'(x) = -3x^2 + 12x - 9 = 0 for a maximum or minimum.
-3(x^2 - 4x + 3) = 0
(x - 1)(x - 3) = 0
x = 1, 3.
To find which gives a relative maximum we find the second derivative:
f"(x) = -6x + 12
When x = 1 f"(x) = 6, positive.
when x = 3, f"(x) = -6, negative.
So x = 3 gives a maximum value of f(x).
f(3) = -(3)^3 + 6*(3)^2 - 9(3) - 1 = -1 (answer).
