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2 answers:
Answer:
Option A. A: 49 m: B: 30.5 m
Step-by-step explanation:
Ball A rolls 4 meters in the 1st second, 9 meters in the 2nd second, 14 meters in the 3rd second, and so on.
We can see that after each second the total distance traveled by ball increases by 5 meters.
So, we can solve this as an arithmetic sequence that is
For ball A, a = 4 n = 10 d = 5
Ball B rolls 3.5 meters in the 1st second, 6.5 meters in the 2nd second, 9.5 meters in the 3rd second, and so on.
For ball B, a = 3.5 n = 10 d = 3
For ball A:
After 10 seconds, the distance will be
= = 49 meters
For ball B:
After 10 seconds, distance covered will be
= = 30.5 meters.
Hence, the answer is option A.
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Answer:
The answer is 71.61%.
Step-by-step explanation:
Households discarding paper week is given to be normally distributed with a mean, = 9.4 lb.
The normally distributed distribution has a standard deviation given as = 4.2 lb.
The proportion of households that throw out at least 7 lb of paper a week is to be found.
Therefore we have to find p(X ≥ 7) which can be written as
p(X ≥ 7) = 1 - p(X < 7)
= 1 - p( Z < )
= 1 - p( Z < )
= 1 - p( Z < -0.571 )
= 1 - 0.2839
= 0.7161
Therefore the percentage of households that throw out at least 7 lb paper a week is 71.61%