We are given the set of points
<span>{(1, 60), (2, 240), (3, 960), (4, 3840)}{(1, 60), (2, 240), (3, 960), (4, 3840)}
If w is the function name and t is the input variable, then the equation has the form
w = k a^t
Plugging in any two of the points to solve for k and a
Choosing </span>(1, 60) and (2, 240)<span>
60 = k a
k = 60 / a
240 = k a^2
Substituting
240 = 60/a (a^2)
a = 4
and
k = 60 / 4 = 15
The function is
w = 15 (4^t)</span>
Answer:
Step-by-step explanation:
We want a line parallel to 3x − 4y = 7. Any such line will have an equation of the same form but a different constant.
If the new line is to pass through the point (-4, -2), replace x with -4 and y with -2. We obtain:
3(-4) − 4(-2) = -12 + 8 = -4. Thus, the desired new equation is 3x − 4y = -4.
This could also be written as 3x − 4y + 4 = 0. We could also solve this for y, obtaining:
3x + 4 = 4y, or y = (3/4)x + 1.
(10 2/3)/(11/20)
(32/3)/(11/20)
(32/3)*(20/11)
640/33
19 13/33 since DVDs are integer units Mr. Washington can only have 19 DVD's side-by-side.
You need to calculate how many times the required difference is of the standard deviation, i.e. the ratio difference / standard deviation.
These are the calculations:
Standard deviation = 0.2 mm
Difference between 25.6mm and the mean = 25.6mm - 25mm = 0.6 mm
Ratio difference / standard deviation = 0.6mm / 0.2 mm = 3.
Then, the answer is that a ball with a diameter of 25.6 mm differs 3 standard deviations from the mean.
