Step-by-step explanation:
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Let $A = (5,12)$, $B = (0,0)$, and $C = (14,0)$. For a point $P$ in the plane, the minimum value of $PA^2 + PB^2 + PC^2$ can be
1 answer:
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Answer:
Step-by-step explanation:
In the normal distribution curve, the mean is in the middle and each line to the left and to the right of that mean represent 1- and 1+ the standard deviation. If our mean is 400, then 400 + 50 = 450; 450 + 50 = 500; 500 + 50 = 550. Going from the mean to the left, we subtract the standard deviation and 400 - 50 = 350; 350 - 50 = 300; 300 - 50 = 250. We are interested in the range that falls between 350 and 450 as a percentage. That range represents the two middle sections, each containing 34% of the data. So the total percentage of response times is 68%. We are looking then for 68% of the 144 emergency response times in town. .68(144) = 97.92 or 98 emergencies that have response times of between 350 and 450 seconds.
Answer:
Step-by-step explanation:
Given that Miguel is playing a game
The box contains 4 chips, 2 with number 1, and other two differntly numbered as 3 and 5.
OUt of these 4, 2 chips are drawn
P(drawing same number) = 2C2/4C2 =
Prob (drawing differnt numbers) = 1-1/6 =
Hence prob of winning 2 dollars =
Prob of losing 1 dollar =
b) Expected value = sum of prob x amount won
=
c) Miguel can expect to lose 1/2 dollars for every game he plays
d) If it is to be a fair game expected value =0
i.e. let the amount assigned be s
Then