According to a survey, 63% of murders committed last year were cleared by arrest or exceptional means. fifty murders committed last year are randomly selected, and the number cleared by arrest or exceptional means is recorded. (a) find the probability that exactly 41 of the murders were cleared. (b) find the probability that between 35 and 37 of the murders, inclusive, were cleared. (c) would it be unusual if fewer than 19 of the murders were cleared? why or why not?

The swimming pool is open when the high temperature is higher than 20∘c. lainey tried to swim on monday and thursday (which was 3 days later). the pool was open on monday, but it was closed on thursday. the high temperature was 30∘c on monday, but decreased at a constant rate in the next 3 days. write an inequality to determine the rate of temperature decrease in degrees celsius per day, d, from monday to thursday.

Someone answer this asap for the function f(x) and g(x) are both quadratic functions. f(x) = x² + 2x + 5 g(x) = x² + 2x - 1 which statement best describes the graph of g(x) compared to the graph of f(x)? a. the graph of g(x) is the graph of f(x) shifted down 1 units. b. the graph of g(x) is the graph of f(x) shifted down 6 units. c. the graph of g(x) is the graph of f(x) shifted to the right 1 unit. d. the graph of g(x) is the graph of f(x) shifted tothe right 6 units.

The product of sin 30 degrees and sin 60 degrees is same as the product of