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
The rest of the sequence might be 10.5, 12.45, 14.10
Answer:
$44
Step-by-step explanation:
Original price = $80
Discount on sale = 50%
Discounted price = (1 - 50%) * original price
Discounted price = 0.5 * $80 = $40
Sales tax = 10%
Sales tax amount = 0.1 * $40 = $4
Total cost = discounted price + sales tax amount
Total cost = $40 + $4 = $44
Yeah I'm not sure but I think it's 6
Answer:
6
Step-by-step explanation: