Dr. Ashby is studying the heart rate of adult men. Preliminary data suggests that the standard deviation of heart rates for adult men is σ = 7.5 σ=7.5sigma, equals, 7, point, 5 beats per minute (bpm). He plans on taking a sample of n nn men to construct a 99 % 99%99, percent confidence interval for the mean heart rate. He wants the margin of error to be no more than 3 bpm 3 bpm3, start text, space, b, p, m, end text.

Determine which expressions represent real numbers and which expressions represent complex number. asaaap! plis!

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.