So,
We are trying to find the compound probability of there BEING oil and the test predicting NO oil.
The percent chance of there actually being oil is 45%. We can convert this into fraction form and simplify it.
45% -->
That is the simplified fraction form.
The kit has an 80% accuracy rate. Since we are assuming that the land has oil, we need the probability that the kit predicts no oil.
The probability that the kit detects no oil will be the chance that the kit is not accurate, which is 20% (100 - 80 = 20). We can also convert this into fraction form and simplify it.
20% -->
That is the probability of the kit not being accurate (not predicting any oil).
To find the compound probability of there being oil and the kit not predicting any oil, we simply multiply both fractions together.
So the probability of there BEING oil and the kit predicting NO oil is 9 in 100 chances.
Writing and solving an equation of ratios is the way to go here. See if you can figure out why the following is correct:
x+3 x
----- = -------
12 x+3
Then (x+3)^2 = 12x, and x^2 + 6x + 9 = 12x, so that x^2 - 6x + 9 = 0
This is the square of (x - 3). Thus, x-3 = 0, and x = 3.
The value of x is 3.
6 and a 4 on the top beside it
You mean y = b^x.
By plugging different values of x, we find different y-values forming points in the form (x, y).
After 2 or 3 points, we can clearly see that the graph of y = b^x passes through the point (0, 1) and extends forever in the upward direction through quadrant 1.
Well tan x has asymptotes every 90 degrees, or in radian mode, every pi divided by two. since cot is the inverse and the aymsptotes land on every 180 degrees, meaning the equation can be x ≠ \pi n, nEI