8x+12-8x+15+15x-22-x
1 answer:
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Probabilities are used to determine the chances of an event
- The probability of choosing a black counter is 0.6
- The probability that both counters are white is 0.16
The probability is given as:
Apply probability formula
Express as squares
Take the square root of both sides
Hence, the probability of choosing a black counter is 0.6
<h3>(b) Probability of selecting two white counters</h3>In (a), we have:
Using the complement rule, we have:
So, we have:
Evaluate
The probability that both counters are white is then calculated as:
So, we have:
Hence, the probability that both counters are white is 0.16
Read more about probabilities at:
Answer: 6x
Work Shown:
For each step, the logs are all base b. This is to save time and hassle of writing tricky notation of having to write the smaller subscript 'b' multiple times. The first rule to use is that log(x^y) = y*log(x) for any base of a logarithm. The second rule is that meaning that the log base of itself is 1
log(b^(6x)) = 6x*log(b) .... pull down exponent using the first rule above
log(b^(6x)) = 6x*1 .... use the second rule mentioned
log(b^(6x)) = 6x