An oil company is drilling for oil at three sites. according to geological tests, the probabilities of finding oil at these three sites are 0.30, 0.15, and 0.20, respectively. the presence of oil at any one of the sites is presumed to be independent of the presence of oil at any of the other sites. what is the probability of finding oil at all three of the sites?
what is the probability of not finding oil at any of the sites?
what event would be the complement of finding oil at all three sites? what event would be the complement of not finding oil at any of the sites?

use google you idiot omg you're so annoying

step-by-step explanation:

f(x) = y

f(-3) = -5

step-by-step explanation:

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240