Answer:
a) 1 / 12
b) 1 / 4
Step-by-step explanation:
The events are independent since they do not affect each other. The total probability of two independent events is the product of the probabilities of the two events.
a) When rolling a die, there are 6 outcomes, the numbers 1 - 6. There is only 1 outcome where you can get a 2. Therefore, the probability of rolling a two is 1/6.
When flipping a coin, there are two ways it can land: heads or tails. And there is one outcome with heads. The probability of getting head would be 1 / 2.
To find the the total, you multiply the probabilities of the two events: 1 / 6 * 1 / 2 = 1 / 12
b) As stated before, when rolling a die, there are 6 outcomes, the numbers 1 - 6. There are 3 outcomes where she can roll an even number: the numbers 2, 4, or 6. So, the probability of rolling an even number is 3 / 6 or 1 / 2.
When flipping a coin, there are two ways it can land: heads or tails. And there is one outcome with tails. The probability of getting tails would be 1 / 2.
Now, you multiply the two probabilities to get the total probability: 1 / 2 * 1 / 2 = 1 / 4
I'm pretty sure it's graph A. I apologize if it's wrong hope this helped.
To figure out who is taller, we can take each mixed number and find a common denominator.
5/16 (x3) 15/48
7/24 (x2) 14/48
This tells us that Ben is taller because Marcus is shorter than him by 1/48.
Answer:
Step-by-step explanation:
I am not clear your question.
5^(-2) / ( 5^(-3) * 5^(4))
When base is equal at multifaction index should be add.
ie. (-3) + 4 =1
5^(-2) / ( 5^((-3) +4))
5^(-2) / ( 5^(1))
When base is equal at division index should be substract.
5^(-2) / ( 5^(1))
5^((-2 )+ (-1) )
5^(-3)
We know a^(-2)= 1/ a^2
1/ 5^(3)
Answer:
Finding b:
57+b = 180 (linear pair)
b = 123
Finding c:
c = 123 (vertical angles are always congruent
