All these are true when X and Y are independent events:
1) The occurrence or lack of event X does not influence the occurrence of event Y, and the occurrence or lack of event Y does not influence the occurrence of event X.
2) P(X∩Y) = P(X) * P(Y)
3) P(X | Y) = P(X).... this is the probability of X given Y is equal to the probability of X.
4) P (Y | X) = P(Y)
5) P(A∪B) = P(A) + P(B) - P(A∩B)
Answer:
960
Step-by-step explanation:
3 * 320 = 960
Udin memiliki, secara total, 960 ikan hias
(Udin has, in total, 960 ornamental fish)
<u>Answer:</u>
Option D is the correct answer.
D. This is a linear function because there is a common difference of 2.
<u>Step-by-step explanation:</u>
Linear function--
A function is said to be linear if the rate of change is constant.
i.e. the function is increasing by a fixed constant.
Here the table is given by:
Hour (x) Number of Customers f(x)
1 2
2 4
3 6
From the table of values we observe that as the value of increasing by 1 the value of y is increasing by 2.
i.e. the rate of change is constant i.e. 2.
Also, the common difference is 2.
Since,
4 - 2 = 2
and
6 - 4 = 2
Hence, the table represents a linear function.
Answer: C (AngleMRN and AngleNRO)
Step-by-step explanation:
A linear pair of angles is formed when two lines intersect. Two angles are linear if they are adjacent angles (angles next to each other) formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
AngleMRN and AngleNRO together is 180 degrees
I'm not very good at explaining but hope this helps ! :)
Answer:
Step-by-step explanation:
The equation to solve is:
1. <u>On the left-hand side </u>use: "The product of a constant by a logarithm is equal to the logarithm raised to the constant"
Thus, the left-hand side is:
2. On the <u>right-hand side</u> use "The sum of two logarithms with the same base is the logarithm of the product":
Then, on the right-hand side:
3. <u>Make them equal</u>:
4. Since the two functions are the same, <u>make the arguments equal</u>:
5. <u>Solve the equation</u>:
