PLS HELP Consider the following system of equations.
(-10x2 - 10y2 =-300
5x + 5y2 = 150
Which statement describes why the system has infinite solutions?
O The equations represent parabolas that result in graphs that do not intersect.
The equations represent circles that result in graphs that do not intersect.
The equations represent parabolas that result in the same graph.
O The equations represent circles that result in the same graph.

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.)