The parallel black lines undergo a transformation. The green lines are the resulting image. Which choice describes the transformation?

A) Dilation by a factor of 4
B) Reflection across the x-axis
C) Reflection across the y-axis
D) Translation 5 units up

How many 3-digit numbers can you write using only digits 1 and 7? (of course, digits can repeat.) how many 3-digit numbers can you write using only digits 1 and 7? (of course, digits can repeat.)

Walgreens sells both kleenex and nyquil. in a random sample of 5000 purchases, it was found that 1200 contained kleenex and 540 contained nyquil. these are not independent because sick people are more likely to buy both and healthy people more likely to buy neither. in looking into that, it was found that 360 purchases contained both. a. make a two-way table to display this information. fill in the table with the missing entries, and be sure your table has row and column totals. b. if we randomly select a purchase that contained kleenex, what is the probability it also contained nyquil? c. what percent of all purchases didn’t contain either product?

Mark, taylor, & brian's ages are consecutive whole numbers. mark is the youngest, and brian is the oldest. the sum of their ages is 111. how old is mark? a) 34 years old b) 35 years old c) 36 years old d) 37 years old