Hi there! We are given the expression:
To condense or simplify the following logarithm. You have to remember these properties:
Properties - Logarithm
These two properties are what we need for our problem. Therefore,
We use the log_b(a)^n = nlog_b(a) property to convert in the form above. Next, we use the second property.
Answer
- log base 4 of (a^5/b^6) is our simplifed form.
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Answer:
N=-13
Step-by-step explanation:
Answer:
a) No, it does not matter whether you roll the die or flip the coin first, as these two events are <u>independent</u> of each other, which means they do not affect each other.
b) Yes.
- Let event 1 be flipping a coin and event 2 be rolling a die.
- Let event 1 be rolling a die and event 2 be flipping a coin.
The likelihood that any outcome will occur will not change, as the events are independent.
c) see attached
d) 12 outcomes (H = head, T = tail, numbers represent the value of the die)
H 1 T 1
H 2 T 2
H 3 T 3
H 4 T 4
H 5 T 5
H 6 T 6
e)
Answer:
Part 1: It is not a valid conclusion to say that track and field sports are more popular than soccer based on the survey. The survey was taken at a track and field event so the people that were surveyed are probably biased.
Part 2: A better way of determining which sport is more popular is by counting how many people show up to each event and comparing the results.
