Which statement can be used to prove whether the conjecture is true or false? What does the statement prove?
Conjecture: The sum of the lengths of any two sides of a rectangle is half the perimeter of the rectangle.
с
B
D
4
4
4
А
E
3 F
3
The perimeter of FCDE is 14 and FC + CD=7
The perimeter of FCDE is 14 and FE + DE = 7
The perimeter of ABDE is 20 and AB + BD = 10.
The perimeter of ABDE is 20 and AB + DE = 8.
The statement proves that the conjecture is false v

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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.)