A typical exponential function is y=a
![b^{x}](https://tex.z-dn.net/?f=%20b%5E%7Bx%7D%20)
when x=3.5, y=16.2
when x=6, y=3936.6
plug these values into the exponential function:
16.2=a
![b^{3.5}](https://tex.z-dn.net/?f=%20b%5E%7B3.5%7D%20)
3936.6=a
![b^{6}](https://tex.z-dn.net/?f=%20b%5E%7B6%7D%20)
divide the second equation by the first to eliminate a:
243=
![b^{(6-3.5)}](https://tex.z-dn.net/?f=%20b%5E%7B%286-3.5%29%7D%20)
log both sides: log243=2.5logb
logb=log243/2.5
use your calculator to find b: b=3.6
plug b=3.6 in the first equation to find a:
16.2=a
![* (3.6)^{3.5}](https://tex.z-dn.net/?f=%2A%20%283.6%29%5E%7B3.5%7D%20)
a=0.183
please double check my calculation
Answer:
C. Mean
Step-by-step explanation:
We have been given that obtaining a measure of intelligence from a group of college students would likely yield a somewhat normal distribution (that is, there shouldn't be any extreme outliers).
We know that median is best measure of central tendency with extreme outliers, while mean is the best measure of central tendency when the data is normally distributed.
Mode is used when data are measured in a nominal scale.
Since the measure of intelligence from a group of college students yield a somewhat normal distribution, therefore, mean will be the best measure of central tendency.
Answer:
2
Step-by-step explanation:
To find the slope of the graphed line, you take two points. I have chosen (0, 4) and (8, 0)
The formula of a slope is (y value of second point
value of first point) divided by (x value of second point
value of first point):
![\frac{0-4}{8-0} =-\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B0-4%7D%7B8-0%7D%20%3D-%5Cfrac%7B1%7D%7B2%7D)
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The slope for a perpendicular line is 2.
Answer:
4800m
Step-by-step explanation:
"correct to the nearest 10 meters" means that the height can vary ± 10 meters.
4810 m ± 10 m = 4800 to 4820
4800 is the least possible height.
(-8, -5)
To form a rectangle, all the lines must be perpendicular and parallel. If you draw out the points on a coordinate plane then you can find the answer pretty easily.
Also, this one is easy because all the lines are vertical or horizontal, and when that is the case then you can just see which number in the set hasn't appeared twice (1 appeared twice as an <em>x</em> value, 0 appeared twice as a <em>y </em>value, but -8 has only appeared once as an <em>x</em> and -5 has only appeared once as a <em>y </em>value)