Answer:
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Answer:
Step-by-step explanation:
so the question is asking about the time from 1500 feet to 1100 feet. How long did they fall, w/o a parachute. aka "freefall" so, at 1500 feet the jumper is really at time zero. so, plug in to the formula
1100 = -16
+1500
( x represents seconds so i'll change it to t so we know it's time )
1100 = -16
+ 1500
now we can solve for t , to see how long the jumper falls
-400 = - 16 ( subtracting 1500 from both sides of equation )
25 = ( dividing both sides by -16 )
oh.. look at how nice that turns out.. :)
= t ( take the square root on both sides )
5 = t
the jumper fell for 5 seconds to get to 1100 feet
Answer: P12* = 0.0164 or 1.64%
Therefore, the probability that it takes more than 12 attempts before he completes a pass is 0.0164 or 1.64%
Step-by-step explanation:
Given;
The quarterback's pass accuracy P= 29% = 0.29
The probability of not completing a particular pass P*
= 1 - 0.29 = 0.71
the probability that it takes more than 12 attempts before he completes a pass implies that the quarterback will not complete his first 12 pass attempts.
The probability that he will not complete the first 12 pass
P12* = (P*)^12
P12* = (0.71) ^12
P12* = 0.0164 or 1.64%
Therefore, the probability that it takes more than 12 attempts before he completes a pass is 0.0164 or 1.64%
Answer:
Step-by-step explanation:
- Let the speed of the boat be x
- Speed against the current in the river is x - 2
<u>Time in the river:</u>
<u>Time in the lake:</u>
<u>The difference:</u>
Solve for x to find the speed of the boat
<u>Multiply both sides by x(x - 2) to clear the fraction:</u>
- 6x = 15(x - 2) - x(x - 2)
- 6x = 15x - 30 - x² + 2x
- x² - 11x + 30 = 0
- (x - 5)(x - 6) =0
- x -5 = 0, x - 6 = 0
- x = 5 km/h, x = 6 km/h
