On the coordinate grid of a map, josie's house is located at (2, 7). her school is located at (-5, 5). if each map unit equals one mile, what is the approximate distance from her house to school? a) 2.83 miles b) 4.79 miles c) 7.28 miles d) 12.37 miles

The party planning committee has to determine the number of tables needed for an upcoming event. if a square table can fit 8 people and a round table can fit 6 people, the equation 150 = 8x + 6y represents the number of each type of table needed for 150 people.

Write a function rule for  “the output is  5 less than the input.” let  xx  be the input and let  yy  be the output.

The discrete random variables x and y take integer values with joint probability distribution given by f (x,y) = a(y−x+1) 0 ≤ x ≤ y ≤ 2 or =0 otherwise, where a is a constant. 1 tabulate the distribution and show that a = 0.1.2 find the marginal distributions of x and y. 3 calculate cov(x,y).4 state, giving a reason, whether x and y are independent. 5 calculate e(y|x = 1).