Find an equation of the tangent line to the curve at each given point. x = 2 − 3 cos θ, y = 3 + 2 sin θ at (−1, 3) incorrect: your answer is incorrect. at (2, 5) at 4 + 3 3 2 , 2

Arecent study focused on the number of times men and women who live alone buy take-out dinner in a month. assume that the distributions follow the normal probability distribution and the population standard deviations are equal. the information is summarized below. statistic men women sample mean 24.85 21.33 sample standard deviation 5.54 4.93 sample size 34 36 at the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? state the decision rule for 0.01 significance level: h0: μmen= μwomen h1: μmen ≠ μwomen. (negative amounts should be indicated by a minus sign. round your answers to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? what is the p-value? (round your answer to 3 decimal places.)

Which verbal expression best describes the algebraic expression 3x ÷ 5? the quotient of three times some number and five the product of some number and five divided by three the quotient of three and some number times five the sum of three and some number divided by five

A. 2.3y +2 +3.1y = 4.3y + 1.6 + 1.1y + 0.4 b. + 25 - = c. 5/8x + 2.5 = 3/8x + 1.5 + 1/4x d. 1/3 + 1/7y = 3/7y