Sarah has $8 and wants to buy a combination of cupcakes and fudge to feed at least four siblings. each cupcake costs $2, and each piece of fudge costs $1. this system of inequalities models the scenario: 2x + y ≤ 8 x + y ≥ 4 part a: describe the graph of the system of inequalities, including shading and the types of lines graphed. provide a description of the solution set. (4 points) part b: is the point (8, 10) included in the solution area for the system? justify your answer mathematically. (3 points) part c: choose a point in the solution set and interpret what it means in terms of the real-world context. (3 points)

Factor this polynomial completely x^2-64

What graph represents an even function

Assume that females have pulse rates that are normally distributed with a mean of mu equals 72.0 beats per minute and a standard deviation of sigma equals 12.5 beats per minute. complete parts (a) through (c) below. a. if 1 adult female is randomly selected, find the probability that her pulse rate is between 65 beats per minute and 79 beats per minute. the probability is? b. if 16 adult females are randomly selected, find the probability that they have pulse rates with a mean between 65 beats per minute and 79 beats per minute. the probability is? c. why can the normal distribution be used in part (b), even though the sample size does not exceed 30?