Damien was playing a card game with his sister. In order to come up with a strategy, he was trying to guess how many cards she was holding. He knew there are at most 50 cards in the deck and there were 10 cards in his hand and 12 cards in the discard pile. Write an inequality to represent how many cards Damien's sister could be holding. Explain how you know. Damien believes his sister has 28 cards. Explain why this is or is not possible.

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.