Reference no: EM132594763
Question 1. Calculate the mean, median, upper and lower quartile of the following data set:
25, 23, 21, 27, 29, 19, 10, 21, 20, 18, 26, 23.
Explain your reasoning.
Question 2. You order two burritos and a side dish. The side dish costs $2.50. You pay 8% sales tax and leave a $3 tip. You pay a total of $13.80. How much does one burrito cost? Explain each step.
Question 3. Girl's eyes are 5 feet above the ground as she looks up to a cat stuck on the tree. The angle of elevation is 74.5° and she is standing 12 feet from the tree's base. At what height is the cat? Sketch the situation. Round to the nearest tenth.
Question 4. Prove that 5+8+11+ .... + (3n+ 2) = n(3n + 7)/2 is valid for every positive integer n. Explain each step.
Question 5. Use the matrices

to determine whether the expressions (P + Q)R and PR + QR are equal. Explain each step.