Identify the contrapositive of the following statement. if x = 2, then x + 3 = 5. a) if x + 3 = 5, then x = 2. b) if x + 3 ≠ 5, then x ≠ 2. c) if x ≠ 2, then x + 3 ≠ 5. d) x = 2 and x + 3 = 5.

Determine the difference: 3.2 × 1010 – 1.1 × 1010. write your answer in scientific notation.

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.

Kate is arranging new furniture in her rectangular sitting room. she has mapped the arrangement on a coordinate pane. a,b and c represent the sofas, v1 and v2 are decorative vases and aq the aquarium. find the distance between v1 and the aquarium. any body you