At the farmer's market, there is a scale that measures the weight of fruit and vegetables. the needle is 16cm long, and it rotated 68º when danielle placed six oranges on it. how far did the needle travel as it rotated?
a. 272π/45
b. 45π/272
c. 1088π
d. 544π

Prove that 16^4-2^13-4^5 is divisible by 11.

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.

The taxi fare in gotham city is $2.40 for the first 1 2 12 mile and additional mileage charged at the rate $0.20 for each additional 0.1 mile. you plan to give the driver a $2 tip. how many miles can you ride for $10?