Answer:
C
Step-by-step explanation:
The graph goes in order of that formula
Two events, A and B, are independent if the fact that A occurs does not affect the probability of B occurring.
Some other examples of independent events are:
- Landing on heads after tossing a coin AND rolling a 5 on a single 6-sided die.
- Choosing a marble from a jar AND landing on heads after tossing a coin.
The events A and B are independent if any one of the following three equivalent conditions hold:
P(A ∩ B) = P(A)P(B)
P(A|B) = P(A) B has no effect on A
P(B|A) = P(B) A has no effect on B
Intuitively, two events are independent if the occurrence of one has no effect at all on the probability of the other.
To find the probability of two independent events that occur in sequence, find the probability of each event occurring separately, and then multiply the probabilities.
Multiplication Rule: When two events, A and B, are independent, the probability of both occurring is:
P(A and B) = P(A) · P(B)
To test whether two events A and B are independent, calculate P(A), P(B), and P(A ∩ B), and then check whether P(A ∩ B) equals P(A)P(B). If they are equal, A and B are independent; if not, they are dependent.
Answer:
x ≈ 34.9
Step-by-step explanation:
Using the sine ratio in the right triangle
sin35° = 
= 
Multiply both sides by x
x × sin35° = 20 ( divide both sides by sin35° )
x= 
≈ 34.9 ( to the nearest tenth )
Answer:
5 to the 15th power.
Step-by-step explanation:
PEMDAS requires us to do parenthesis, then exponents, and then division. Let's do 5³. 5x5x5 is equal to 125. Now, we find 125 to the ninth power. According to my calculations, 125 to the ninth power is equal to 7,450,580,596,923,828,125. Now, we find 5 to the twelfth power, which, according to my calculations, is 244,140,625. Now, we solve. According to my calculations, 7,450,580,596,923,828,125/244,140,625 is equal to 30,517,578,125. 30,517,578,125 is equivalent to 5 to the 15th power. That means that the second option is correct. I hope this helps!
