Atelephone booth that is 8ft tall casts a shadow that is 4ft long. find the height of lawn ornament that casts a 2ft shadow. round the answer the nearest whole number.

The random variable x is the number of occurrences of an event over an interval of ten minutes. it can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. it is known that the mean number of occurrences in ten minutes is 5.3. the appropriate probability distribution for the random variable

A. 127 cm^2 b. 144.5 cm^2 c. 172 cm^2 d. 50 cm^2

He ! a group of farmers planned to clean 80 acres of wheat per day to finish the work on schedule. right before the work started, they received a new piece of machinery that them clean 10 more acres per day than originally planned. as a result of increased productivity in the last day before the deadline they only had to clean 30 acres. how many acres of wheat did the group of farmers have to clean?