let the following two permutations and do the items below
x =
1 2 3 4 5
2 4 3 5 1
y =
1 2 3 4 5
1 3 5 4 2
a) xy = yx =
b) (xy)2 = x2y2 =
c) x-1 = y-1 =
d) (xy)-1 = x-1y-1 =
e) |x| = |y| =
f) let z =
1 2 3 4 5
3 2 4 5 1
show that |z| = 4 and prove thatw = {z, z2, z3, z4}
is a subgroup of s5let the following two permutations and do the items below

Formulate the indicated conclusion in nontechnical terms. be sure to address the original claim. the foundation chair for a hospital claims that the mean number of filled overnight beds is over 523, and she is therefore justified starting a funding campaign to add a wing to the hospital. assuming that a hypothesis test has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms.

Parallelogram rstu is a rhombus. m∠r = 120° what is m∠t = 120 (what is m∠rsu? )

Astudent was asked to find the square of 7x+3. the student quickly wrote (7x+3)^3= 49x^2+9. identify the student's error and provide the correct answer.