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SAT模拟考试题:SAT数学练习题(19)

2016-08-11 17:01:57来源:网络

  Answer: 56

  Explanation: The probability that Tom draws the nickel is (number of nickels)/(number of coins in the jar) = 1/8

  After Tom draws a coin, the number of coins in the jar is 8 - 1 = 7

  The probability that Mary draws the dime is (number of dimes)/(number of coins in the jar) = 1/7

  The probability that Tom draws the nickel AND Mary draws the dime is the product of the 2 probabilities calculated above.

  1/8 · 1/7 = 1/56 so x = 56

  Question 8: What is the length of the sides of an equilateral triangle, if the lengths of the altitudes of the triangle are √3?

  Answer: 2

  Explanation: In the triangle formed by the the altitude a, one side l and the base of the altitude, l2 = a2 + (l/2)2

  (3/4)·l2 = a2

  (3/4)·l2 = (√3)2

  (3/4)·l2 = 3

  l2 = 4 and l = 2.

  Question 9: If the population of virus doubles every 90 minutes, the population after 9 hours will be how many times the population at the start?

  Answer: 64

  Explanation:

  After 90 minutes the virus population will be 2·x, where x is the population at the start.

  After 3 hours the virus population will be 2·(2·x) = 22·x.

  After 4 hours and 30 minutes, the population will be 23·x.

  After 6 hours, the population will be 24·x.

  After 7 hours and 30 minutes, the population will be 25·x.

  After 9 hours, the population will be 26·x.

  Question 10: f(x) = |x| and g(x) = x - 1. How many solutions x satisfy f(x) = g(x)?

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本文关键字: SAT模拟考试 SAT数学

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