For your birthday you go to the movies with three friends. you buy 4 boxes of popcorn, one for you and one for each of your friends. the tickets cost $5.75 each and the popcorn costs $4.25 per box. the total cost can be expressed by (4 • 5.75) + (4 • 4.25). rewrite this expression using the distributive property and then solve. explain why using the distributive property makes finding the total easier. show your work.

The graph shown is the graph of which function?

Arandomized controlled trial is designed to evaluate the effect of metoprolol in patients with heart failure. while preparing for statistical analysis, the researcher reviews some common types of statistical errors. which of the following statements is true regarding a type i error in a clinical study? a. the study is not significantly powered to detect a true difference between study groups. bthe null hypothesis is true but is rejected in error. c. the null hypothesis is false but is accepted in error. d. type i error is also known as beta and is usually 0.1 or 0.2. e. type i error depends on the study's confidence interval.

During each minute of a comedy show, carlin laughs 55 times. carlin watches 33 comedy shows every day, and each show is 40 minutes long. how many times does carlin laugh every day due to the comedy shows?