In an inventory of 100 sodas, 65 are diet and 30 are caffeine-free. Of the
diet sodas, 22 are caffeine-free. If a
soda in the inventory is selected at
random, what is the probability that it
is neither diet nor caffeine-free?

Evaluate the discriminant of each equation. tell how many solutions each equation has and whether the solutions are real or imaginary. x^2 + 4x + 5 = 0

What is the circumference of a circle with an area of 50.24 cm²?

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.