A store is having a 10% sale on all items. There is an additional $30 discount to the sale price of any bicycle. Let x represent the price in dollars, and let f(x) = x − 30 and g(x) = x − 0.10x = 0.90x represent the discounts. Which function can the store manager use to find the final price of a bicycle?

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.

Find the length of the radius of a circle with the center at -7+2i and a point in the circle at 33+11i

Write the equation of the circle centered at (10,-2) with radius 2