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The answer is 34°
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Answer:
0 hundredths. 2 tenths and 8 ones
The average speed of an object moving is its rate of change per time interval. It is equal to the total distance traveled divided by the total time it takes to travel that distance. We calculate the average speed of the olympic record as follows:
The units of the average speed should be miles per hour so we need to convert the distances in to miles and time into units of hours.
distance 1= <span>26 mi
distance 2 = 385 yd ( 1 mile / 1760 yd ) = 0.21875 mi
total distance = 26 + 0.21875 = 26.21875 mi
time 1 = 2 h
time 2 = 9 min ( 1 h / 60 min ) = 0.15 h
time 3 = 21 s ( 1 h / 3600 s ) = 0.0058 h
total time = 2 + 0.15 + 0.0058 = 2.1558 h
average speed = total distance / total time = 26.21875 mi / 2.1558 hr = 12.1620 mi / h</span>
Answer:
0.99804932311
Step-by-step explanation:
We solve this using binomial probability
Binomial probability formula
= nCx × p^x × q^n - x
= n!/(n - x)! x!
Where n = Number of trials = 25 samples
x = Number of successes = 23
p = probability of success = 99% = 0.99
q = probability of failure = 1 - p
= 1 - 0.99
= 0.01
Hence,
p(at least 23 are properly filled) = p(X ≥ x)
= [25!/(25 - 23)! × 23! × 0.99^23 × 0.01^25 - 23 ]+ [25!/(25 - 24)! × 24! × 0.99^24 × 0.01^25 - 24 ]+ [25!/(25 - 25)! × 23! × 0.99^25 × 0.01^25 - 25]
= [300 × 0.99 ^23 × 0.01^2] + [25 × 0.99^24 × 0.01^1] + [1 × 0.99^25 + 0.01^0]
= 0.0238084285 + 0.1964195352 + 0.7778213594
= 0.99804932311
