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What is the probability that a positive integer selected at random from the set of integers 1 through 50 is a factor of 100?
A STEM student measures two chemical samples, one of length 3.2 cm and another of length 7.8 cm. What is the average length, in centimeters, of the two samples?
How many positive three-digit numbers are divisible by both 5 and 6?
A number divisible by both 5 and 6 must be divisible by their least common multiple. Since:
We seek the number of three-digit multiples of 30.
The smallest three-digit multiple of 30 is:
Using the formula for the number of terms:
The arithmetic mean is the sum of the terms divided by the number of terms.
A vulcanology student observes that a lava flow advances 1.8 meters in the first hour and 3.4 meters in the second hour. What is the average speed, in meters per hour, over the two hours?
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