Asample survey contacted an srs of 2854 registered voters shortly before the 2012 presidential election and asked respondents whom they planned to vote for. election results show that 51% of registered voters voted for barack obama. we will see later that in this situation the proportion of the sample who planned to vote for barack obama (call this proportion v) has approximately the normal distribution with mean μ 0.52 and standard deviation σ = 0.009.

(a) if the respondents answer truthfully, what is p (0.5くv < 0.54)? this is the probability that the sample proportion v estimates the population proportion 0.52 within plus or minus 0.02.
p (0.5< = v < =0.54) (±0.0001)=

(b) in fact, 50% of the respondents said they planned to vote for barack obama v = 0.5. if respondents answer truthfully, what is p(v < =0.5)?
p (v < =0.5) (±0.0001) =

The radical equation 2+√2x-3 = √x+7 has a solution set [x= a0} and an extraneous root x = a1.

The lines shown below are parallel. if the green line has a slope of -1, what is the slope of the red line?

You and three friends will be going out to eat at your favorite restaurant! each of you will order three items of your choice. you will also need to leave a tip. if you split the bill evenly among all four of you, how much will each person need to contribute? locate a menu for your favorite restaurant and pick three items for yourself and each friend. list the restaurant name, items, and prices in a table like the one below. in the column labeled subtotal, determine the cost of each person’s order. the customary tip is 20% of the total bill. in the column labeled tip, calculate the amount of tip each person should leave. in the column labeled total bill, determine the total of each person’s order, including the tip. restaurant name: names item 1 price item 2 price item 3 price subtotal tip total bill your name friend #1 friend #2 friend #3 part 2: questions answer the following questions, showing all work: what is the total cost of the entire bill (all four meals), including tip? write an expression using fractions to show how to determine the amount that each person will pay. then calculate each person's contributions showing all steps in long division. if each person paid an equal amount, who would save the most money? explain your reasoning using at least two complete sentences.