Use the system of inequalities y ≥ 0, x ≥ 0, and y ≤ –2x + 4. Find the coordinates of the vertices of the feasible region.

(0, 0), (–2, 0), (0, –4)

(0, 0), (–2, 0), (0, –4)

(0, 0), (2, 0), (0, 4)

(0, 0), (2, 0), (0, 4)

(0, 0), (4, 0), (0, 2)

(0, 0), (4, 0), (0, 2)

(0, 0), (–4, 0), (0, 2)

Atheater wants to build movable steps that they can use to go on and off the stage. they want the steps to have enough space inside so they can also be used to store props. how much space is inside the steps?

To find the inverse of a number a, one can use the equation f(c) = a-1/c=0 where c is the inverse of a use the secant method of finding roots of equations to find the inverse of a = 2.5 ,er = 0.001%

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.)