First prize for a popular poker event has grown approximately exponentially from $0.03 million in 1976 to $8.23 million in 2011. Let f(t), where t is the number of years since 1978, be the exponential function that models the growth. Predict when the first prize will be $20 million
The prize will be $20 million in
(Round down to the nearest integer. Round all intermediate values to the nearest hundredth as needed.)

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.