You are saving $5 each week to attend a summer program that costs $300. you already have $84. you have also received a $50 scholarship for the program. how many weeks of saving do you need? a. 44 weeks c. 27 weeks b. 50 weeks d. 34 weeks

Find the area of the regular hexagon if a side is 20 cm.

The random variable x has probability density function f (x) = k(−x²+5x−4) 1 ≤ x ≤ 4 or =0 1 show that k = 2/9 find 2 e(x), 3 the mode of x, 4 the cumulative distribution function f(x) for all x. 5 evaluate p(x ≤ 2.5). 6 deduce the value of the median and comment on the shape of the distribution.

Angela plays soccer and golf for a total of 125 minutes every day. she plays soccer 45 minutes more than she plays golf. part a: write a pair of linear equations to show the relationship between the number of minutes angela plays soccer (x) and the number of minutes she plays golf (y) every day. (5 points) part b: how much time does angela spend playing golf every day? (3 points) part c: is it possible for angela to have spent 80 minutes playing soccer every day? explain your reasoning. (2 points)