3. Suppose that Joanne tosses a fair coin with probability 1/2 of heads, and Jaden tosses a biased coin with probability p(≠1/2) of heads, at the same time. Joanne will get one point if both coins show the same outcome, and lose one point otherwise, in each trial where Joanne and Jaden toss their own coins simultaneously. That is, Joanne's point is +1 if both coins show the same outcome, and -1 otherwise, in each trial.

(a) Suppose that Joanne and Jaden simultaneously toss their own coins 20 times. Let X be the total points Joanne gets. Find the expected value of x², E(X²).

(b) Let Y be the number of tosses until both coins simultaneously show the same outcome. Find the expected value of Y^2, E(Y^2).

The minimum wage in washington has been increasing over the last ten years. years 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 washington state minimum wage $6.50 $6.72 $6.90 $7.01 $7.16 $7.35 $7.63 $7.93 $8.07 $8.55 $8.55 a) find the linear regression equation for the minimum wage in washington using this data ( x  0 in 2000). round to the thousandths. b) what is the slope? specifically, what does the slope represent in the real world context? c) what is the y-intercept? specifically, what does the y-intercept represent in the real world context? d) write your equation as a function of x. e) if you do not earn a college degree and you are earning minimum wage in 2020, what do you predict you will be earning per hour with the linear regression equation? f) if the trend continues, when will the minimum wage be $15 an hour? 3. why are your answers to #1d and #2a above different? which do you think is more accurate (#1 or #2) and why

The measure of one angle of an octagon is two times smaller that of the other seven angles. what is the measure of each angle?

Which of the expressions (on the photo document i inserted) together represent all solutions to the following equation? 8cos(12x)+4=-4 *the answer should be in degrees.* > i would like for someone to explain the process to find the solutions for this.