Answer: Darla would have to pay $17.69 before tax
Step-by-step explanation:
Total amount in Darla's wallet = $15
She intends buying 2 gallons of fruit, 3 bags of chips and a box of cupcakes.
For the gallon of fruit
The first gallon of fruit cost $3.50
The second gallon of fruit has a discount of 50%. We have
(50/100) * 3.50
= $1.75
Therefore, the total amount for the two gallons of fruit =$3.50 + $1.75
= $5.25
Bag of chips
2 bags of chips cost $5 while 1 bag of chips cost $2.65
Since she intends to buy 3 bags of chips we have $5 + $2.65 = $7.65
1 box of cupcakes = $4.79
The total amount Darla is to pay for the groceries before tax equals
$5.25 + $7.65 + $4.79
= $17.69
This is more than the amount Darla has in her wallet
mu = 1100 = population mean
sigma = 275 = population standard deviation
x = 1400 = raw score
z = z score
z = (x-mu)/sigma
z = (1400-1100)/(275)
z = 300/275
z = 1.0909090909091 approximately
z = 1.09
Convention is to round to two decimal places so that you can use a Z table to look up the area under the curve (which helps determine probability).
The positive z score is due to Paula's raw score being above the mean.
