Answer:
P(A) = 2/6
P(A’) = 4/6
Step-by-step explanation:
In probability theory, the complement of any event A is the event [not A], i.e. the event that A does not occur. The event A and its complement [not A] are mutually exclusive and exhaustive. Generally, there is only one event B such that A and B are both mutually exclusive and exhaustive; that event is the complement of A. The complement of an event A is usually denoted as A′, Aᶜ, ¬A or A. Given an event, the event and its complementary event define a Bernoulli trial: did the event occur or not?
Our complement, A’, would then be “rolls a 1, 2, 3, or 4.” We can illustrate this as follows: The event “rolling a 5 or 6” and its complement “rolling a 1, 2, 3, or 4.”
Answer:
x = 13
Step-by-step explanation:
6x + 14 + 4x - 8 + 2x + 18 = 180 {Angle sum property of tiangle}
6x + 4x + 2x + 14 - 8 +18 = 180 {Combine like terms}
12x + 24 = 180 {Subtract 18 from both sides}
12x = 180 - 24
12x = 156 {Divide both sides by 12}
x = 156/12
x = 13
Answer:
1
Step-by-step explanation:
LCD = 1
Equivalent Fractions with the LCD
9 = 9/1
8 = 8/1
6 = 6/1
5 = 5/1
Solution:
Rewriting input as fractions if necessary:
9/1, 8/1, 6/1, 5/1
For the denominators (1, 1, 1, 1) the least common multiple (LCM) is 1.
LCM(1, 1, 1, 1)
Therefore, the least common denominator (LCD) is 1.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
9 = 9/1 × 1/1 = 9/1
8 = 8/1 × 1/1 = 8/1
6 = 6/1 × 1/1 = 6/1
5 = 5/1 × 1/1 = 5/1
You can isolate y and you know that the slope is the number in front of x (the one that multiplies it)
You know that the y-intercept is the value of y when x=0, therefore you can find y by replacing x with 0 in the equation
1-equation
5x-8y=3
5x=3+8y
5x-3=8y
(5x-3)/8=y
y=(5/8)x -3/8
(Slope = 5/8)
2- y-intecept (x=0)
y=(5/8)(0)-3/8
y=-3/8
Answer:
A is your answer
Step-by-step explanation:
A
