<span>P(1 claim) = p/4
P(2 claims) = (p/4)/4 = p/16
You should see that the distribution follows a geometric series with common ratio 1/4.
Sum geometric = (first term) / (1 - common ratio) = p/(1 - 1/4) = 4p/3
But the sum of all the probabilites must equal 1 ----> 4p/3 = 1 ----> p = 3/4
P(2 or more claims) = 1 - P(0 claims) - P(1 claim) = 1 - 3/4 - 3/16 = 1/16</span>
Answer:
c. $0.75 per minute at one rate for the first 5 minutes and $0.25 per minute thereafter
Step-by-step explanation:
The last 5 minutes of the 12-minute call cost ...
$5.50 -4.25 = $1.25
so the per-minute rate at that time is ...
$1.25/(5 min) = $0.25/min . . . . . . . . matches choice C only
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You know the answer at this point, but if you want to check the rate for the first 5 minutes, you can subtract 2 minutes from the 7-minute call to find that ...
The first 5 minutes cost $4.25 - 2·0.25 = $3.75, so are charged at ...
$3.75/(5 min) = $0.75/min . . . . . . . matches choice C
2(4+2x)≥5x+5
4+2x≥5/2x+5/2 (divide both sides by 2)
3/2+2x≥5/2x (subtract 5/2 from both sides)
3/2≥1/2x (subtract 2x from both sides)
3≥x (multiply both sides by 2)
or x≤3
Hope this helps
Answer:
100 miles
follow the line up from 5
