Step-by-step explanation: If events are dependent, this means that the outcome of the first event will affect the outcome of the second event.
Let's look at an example.
Gianna has 8 blue socks and 4 red socks in her sock drawer. She chooses one sock at random and puts its on. She then chooses another sock without looking. Find the probability of the following event.
P (red, then red)
These would be dependent events because if she puts a sock on and doesn't replace it, there is 1 fewer sock in the drawer which affects the probability.
Answer:
Option A is correct.
Solution for the given equation is,
Step-by-step explanation:
Given that : Let then our equation become; .....[1]
A quadratic equation is of the form:
.....[2] where a, b and c are coefficient and the solution is given by;
Comparing equation [1] and [2] we get;
a = 2 b = -1 and c =-1
then;Simplify:or and
Simplify:y = 1 and
Substitute y = cos x we have;⇒and⇒
The solution set:
Therefore, the solution for the given equation is, 0 degrees
Answer:
The probability that the eruptions lasted between 1.14 min and 5.5 minutes is greater than 75%
Step-by-step explanation:
The explanation can be found in the attached picture. Chebyshev's <u>inequality </u>was used. It predicts the probability of the random variable to be in ( mean- K* standard dev< x < mean + K*standard dev).
Note: K must be greater than 1
In order to find the number of chips that would result in the minimum cost, we take the first derivative of the given equation. Note that the derivative refers to the slope of the graph at a given point. We can utilize this concept knowing that at the minimum or maximum point of a graph, the slope is zero.
Taking the derivative of the given equation and equating it to zero, we have:
y' = (0.000015)(2)x - (0.03)x° + 0
0 = (0.00003)x - 0.03
Solving for x or the number of chips produced, we have x = 1000. We then substitute this value in the given equation, such that,
y = (0.000015)(1000)² - (0.03)(1000) + 35
The minimized cost, y, to produce 1000 chips is then calculated to be $20.
