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.

We have been given a graph which describes temperature of pizza ( in degree Celsius) as a function of time (in minutes).

We can see that time is independent variable and temperature is dependent variable as it depends on time.  

Let us find when temperature of pizza will reach 0 degree Celsius. We can find the time when temperature will be 0 degrees by finding when y is zero.  

We can see that initial temperature of pizza is about -6 degree Celsius. As time is increasing temperature of pizza is also getting less negative and it is approaching to zero.        

At t= 0.75 minutes our function h(t) equals zero. Therefore, it will take 0.75 minutes the pizza to reach 0 degree Celsius.