According to a survey, the average american person watches tv for 3 hours per week. to test if the amount of tv in new york city is less than the national average, a researcher decides to do a hypothesis test, at a 10% significance level. she surveys 26 new yorkers randomly and asks them about their amount of tv each week, on average. from the data, the sample mean time is 2.5 hours per week, and the sample standard deviation (s) is 1.1 hours.

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation:

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)

113.1

step-by-step explanation:

v=4

3πr3=4

3·π·33≈113.09734

the answer is about 24 dollars