Two students in Ms. Romean's class are working on finding the mean for the following set of numbers: 2, 12, 16, 4, 18, 24, 32. Susan states that the answer is 15.4 when rounded to the nearest tenth. She added all of the numbers and divided by 7. Sam disagrees and thinks the answer is 54. She added all of the numbers and divided by 2. Which student is correct? How do you know? Explain your thinking!

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66answer:

step-by-step explanation:

step-by-step explanation:

i'm pretty sure it would take 20 hours because it's half the men so you multiply the number of hours it takes by 2

< 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)