Answer:
it saves 2.5 minutes
Step-by-step explanation:
The expected value of a random variable is the sum of products of possibilities and the probability of each.
Here, you have a probability of 0.9 of saving 5 minutes, and a probability of 0.1 of adding 20 minutes.
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The expected value of the shortcut is ...
0.9(-5) +0.1(20) = -4.5 +2.0 = -2.5
The shortcut is expected to save 2.5 minutes on average.
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<em>Additional comment</em>
The probability of 0.9 comes from the 9 of 10 trips that result in a time saving.
Answer:
its C
Step-by-step explanation:
IF I want to rent the paddleboat I have to start with $10 and I have it for an hour it will be 18$. We are increasing by 8 for every hour we have the boat
c = 8h + 10
Step-by-step explanation:
Using the identity a² - b² = (a + b) (a - b)
=> (3 {p - q})² - (5 {q - r})²
=> [(3 {p - q}) + (5 {q - r})] [(3 {p - q}) - (5 {q - r})]
=> [(3p - 3q) + (5q - 5r)] [(3p - 3q) - (5q - 5r)]
=> [3p - 3q + 5q - 5r] [3p - 3q - 5q + 5r]
=> [3p + 2q - 5r] [3p - 8q + 5r]