1. the spokesman-review wants to know the public opinion on the construction of a new library downtown. it is decided that 48 people will be surveyed using a simple random sample. which of the following will produce a simple random sample?

number the residents using the latest census data, then use a random number generator to pick 48 people.

record the opinion of the first 48 people who visit the newspaper's website.

survey every fourth person who enters the current library until 48 have responded.

randomly select 48 people from the phone book.

randomly select 12 people each from the downtown, south hill, northwest, and hillyard parts of the city.

2. the morning news radio station is interested in predicting the proportion of registered voters who support an increase in the state sales tax. listeners were asked to go to the station's website and indicate whether they favored an increase in the tax in order to support the state park system. 1744 listeners logged on and 922 were against the increase. the population of interest is:

all people who listen to the station

the 1744 listeners who logged in and indicated their preference

the 922 listeners who were against the issue

all registered voters

only the portion of the 1744 listeners who voted that are actually registered to vote

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.

The vertex of this parabola is at (-2,-3). when the x-value is -1, the y-value is -5. what is the coefficient of the squared expression in the parabola's equation?

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?