Math Problems 2

Question 1

The radius of the moon is 1080 miles. The gravitational acceleration at the moon’s surface is 0.165 times the gravitational acceleration at the earth’s surface. What is the velocity required to escape the moon in miles per second?

Answer 1

1.47

Question 2

. A certain radioactive substance has a half-life of 38hrs. find how long it takes for 90% of the radioactivity to be dissipated

Answer 2

126.5 hrs

Question 3

There are 100 random samples were taken from the large population. A particular numerical characteristic of sampled items was measured. The results of the measurements were as follows: 45 measurements were between 0.85 and 0.900 0.901 was observed once 0.902 was observed three times 0.903 was observed twice 0.904 was observed four times The smallest value was 0.859 and the largest value was 0.958. The Sum of all the 100 measurements was 91.170. Except for those noted, no measurements occurred more than twice. What is the mean of the given problem above? What is the mode? What is the median? What is the range?

Answer 3

Mean: 0.9117
Mode: 0.904
Median: 0.903
Range: 0.099 or 0.098 or 0.097 or 0.095

Question 4

Four different colored flags can be hung in a row to make coded signals. How many signals can be made of a signal consisting of the display of one or more flags?

Answer 4

64