An experiment to compare the tension bond strength of polymer latex modified mortar (portland cement mortar to which polymer latex emulsions have been added during mixing) to that of unmodified mortar resulted in x = 18.14 kgf/cm2 for the modified mortar (m = 42) and y = 16.84 kgf/cm2 for the unmodified mortar (n = 32). let μ1 and μ2 be the true average tension bond strengths for the modified and unmodified mortars, respectively. assume that the bond strength distributions are both normal. a) assuming that ? 1 = 1.6 and ? 2 = 1.3, testh0: m1 ? m2 = 0versus ha: m1 ? m2 > 0 at level 0.01.
state the rejection region(s). (if the critical region is one-sided, enter none for the unused region. round your answers to two decimal places.)

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh