Item 3 in a particular game, a spinner with four equally-sized sectors labeled 1, 3, 4, and 6 is spun twice. one turn is considered 2 spins of the spinner. if the sum of the spins is even, you move forward 6 spaces. otherwise, you move back 2 spaces. what is the mathematical expectation for the number of spaces moved in one turn? 2 spaces backward 2 spaces forward 1 space forward 1 space backward

Assume that 1400 births are randomly selected and 1378 of the births are girls. use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high. choose the correct answer below. a. the number of girls is neither significantly low nor significantly high. b. the number of girls is significantly high. c. the number of girls is significantly low. d. it is impossible to make a judgment with the given information.

Acaterer charges $500 plus $30 per guest to cater a wedding. walt and traci don't want to spend more than $8000 on catering. write and solve an inequality in terms of the number of guests, g, that can be invited. a) 30g ? 8000; g ? 267 b) 500g < 8000; g < 16 c) 500 + 30g < 8000; g < 250 d) 500 + 30g ? 8000; g ? 250

Factor the polynomial by its greatest common monomial factor.