Complete Question
A set of magical wand prices are normally distributed with a mean of 50 dollars and a standard deviation of 4 dollars. A blackthorn wand has a price of 45.20. What proportion of wand prices are lower than the price of the blackthorn wand? You may round your answer to four decimal places
Answer:
0.1151
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score = $45.20
μ is the population mean = $50
σ is the population standard deviation = $4
We are solving for x < 45.20
Hence:
z = 45.20 - 50/4
z = -1.2
Probability value from Z-Table:
P(x<45.20) = 0.11507
Approximately to 4 decimal places = 0.1151
Therefore, the proportion of wand prices that are lower than the price of the blackthorn wand is 0.1151
25 ounces of guacamole are still expected to be available from batch.
Step-by-step explanation:
Given,
Quantity of guacamole in one serving = 2.2 ounces
Quantity of guacamole in one batch = 80 ounces
Quantity of guacamole in 25 servings = 2.2*25 = 55 ounces
Guacamole left = Quantity in batch - Quantity of 25 servings
Guacamole left = 
25 ounces of guacamole are still expected to be available from batch.
Keywords: multiplication, subtraction
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