Since there are a total of 10 bottles, the probability of getting a certain one is based on the number of those bottles in the cooler.
The probability of getting a lemon-lime flavored drink is 4/10 or 40%.
The probability of getting a orange flavored drink is 3/10 or 30%
The probability of getting a fruitpunch flavored drink is also 3/10 or 30%.
If the question is asking what the probability is of choosing lemon-lime, fruit punch and fruit punch again in that order, you would multiply the probabilities together.
.4 * .3 * .3 = .036, so there’s a 3.6% chance of picking these exact 3 flavors happening again.
ANSWER
EXPLANATION
The given trigonometric equation is
We factor cos(x) to get:
Apply the zero product property to obtain:
Using the unit circle,
when
and
We know
when
The sine function is negative in the third and fourth quadrants.
Hence the solutions are:
Answer:
16x^2 - (12+12)x + 9
16x^2 -12x -12x +9
4x(4x-3)-3(4x-3)
(4x-3)(4x-3)
hence length of one side is 4x-3
