Iattached the picture of the full question drag each value to the correct location on the tree diagram. not all values will be used. $90 $27.84 $66.32 $46.8 $38.48 $29.12 $31.24

See the attachment

The expected value of store card transactions will be the product of their average value ($58) and their probability of occurrence (48%).

... $58 × 0.48 = $27.84

Transactions are either "store card" or "without a store card", so the probability of a transaction being made without a store card is

... 1 - 0.48 = 0.52

Using the same computatation as for store card expected value, the expected value of transactions made without a store card is ...

... $74 × 0.52 = $38.48

The expected value of the store's transactions is the sum of the expected values of the different ways transactions can be made:

... $27.84 +38.48 = $66.32

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The average value of transactions made without a store card is the weighted average of those made with another card and those made with cash or a gift card. Using c to represent the latter, this weighted sum is ...

... 74 = 0.80 × 70 + 0.20 × c

... 74 -56 = 0.20c . . . . . subtract 56

... 18/0.2 = c = 90 . . . . . divide by the coefficient of c

The average transaction made with cash or a gift card is $90.

10 cm

step-by-step explanation:

if the polygon is a rectangle, then the perimeter is x+x+y+y. using the values that you gave, the perimeter is 3+3+2+2=10cm.

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584