Catherine selected a random sample of 500 families, out of a possible 35,000 families. Because the population is large, her sample size should have also been a little bit larger than 500. In this case, the correct answers are A and D, because selecting more families to sample would have represented the population better.
For part A- The inequalities x > 2 and x < 4<span>part c - she can go to point E and D
</span>conspiracyllamaput in x=3, y=1
y > -2x
3 > 2*1
3 > 2
which is true, so point B satisfies the second inequality.
First, let's declare some variables.
x = # of sticker packs
y = total # of stickers
Now, let's create an equation to model the problem.
y = 21x + 8
Let's plug in 50 for y and solve for x.
50 = 21x + 8
Subtract 8 from both sides.
42 = 21x
Divide both sides by 21
2 = x
Anthony will have to buy 2 sticker packs to have a total of 50 stickers.
X = 24 (I used a ratio because it has to be adjacent.)
(WORK SHOWN BELOW)