MathXL for School: Practice & Problem Solving Copy 1
Due 04
7.3.PS-13
Question Help
Each of three friends flips a coin 86 times. The results for each friend are shown in the tables. Find
the relative frequency for the event "heads" for each friend. If the friends combine their results to
get 164 heads and 94 tails, what is the relative frequency for the event "heads"? Use pencil and
paper. Suppose each friend flips a coin 860 times. Is there a value you would expect the relative
frequency for the event "heads" to be close to?

$54.99

step-by-step explanation:

$54.99 includes 500 min. if she does not exceed 500 min then her bill is $54.99

< 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)