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  • Math Archive: Questions from 2024-06-11

    A balloon and a bicycle A balloon is rising vertically above a level, straight road at a constant rate of 1 ft/sec. Just when the balloon is 65 ft above the ground, a bicycle moving at a constant rate of 17 ft/sec passes under it. How fast is the distance s(t) between the bicycle and balloon increasing 3 sec later?

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    In a certain village, the probability that a cat has a weight more than 3 kg is 0.02, and cats that have weight exceeds 3 kg will not be accepted for vaccination. What is the probability that at least 2 cats in a random sample consisting of 20 cats will be rejected? A. 0.038 B. 0.060 C. 0.12 D. 0.35 E. 0.49 F. 0.63 G. 0.88

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