Laila is visiting the grounds of an ancient burial site in the shape of a pyramid and is hoping to find old buried artifacts and sell them to a museum. Historians have told her that there is only 1 undiscovered artifact per side of the pyramid. She plans to look on all 4 sides of the pyramid and assumes that on each side there is a 50, percent chance of her finding that side’s artifact independent of the other sides. The table below shows the resale value depending on how many artifacts she finds. What is the expected value of the resale value of the artifacts Laila finds?

Artifacts found 0 1 2 3 4

Resale value $0 $100 $250 $500 $1000

$306.25 (Khan)

i can answer this question sweetie!

step-by-step explanation:

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

< 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)