<h3>
Answer: 5/9</h3>
As an approximate decimal, this is 0.5556 which converts to 55.56%
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Explanation:
Let's say there are 100 households (just for the sake of simplicity). We are told that 90% of them have answering machines. So that means 90 households have answering machines. In addition, 50 households have answering machines and call waiting. Those 50 households are part of the 90 mentioned previously.
We then select a house at random. Someone tells us (or we have some kind of prior knowledge) that whichever house is selected, they have an answering machine. We can ignore the 10 households that don't have an answering machine. Out of those 90 households, 50 have both features. So 50/90 = 5/9 is the probability of getting a household with both features.
The answer would be 1/2 or 50% if we didn't have the prior knowledge of the household having an answering machine. But with this prior knowledge, the conditions change and so does the probability.
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You could also compute 0.50/0.90 to get the same answer.
Answer:
3(x + 2) = 3x + 6
Step-by-step explanation:
3(x + 2) = 3x + 6
Distribute --> 3x + 6 = 3x + 6
<span>When order does not matter you use what is called n choose k formula
n!/(k!(n-k)!) where n is the number of things to choose from and k is the number of choices made, in this case:
20!/(4!(20-4)!)=4845</span>
Answer:
Step-by-step explanation:
Z = (x-µ)/(s/√n)=(98.5-98.2)/(0.62/√19) = 2.11
left tail p-value = 0.9826
so 98.26% are lower.
Answer: 4
Step-by-step explanation:
First, you have to pay to get in the game ($15 - $7) and then you have $8 left. Each snack is $2, so for $8 you can get 4 snacks (2x4=8)
