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
Originally, the diameter was 110 m, so the radius was 55 m. To get the area, you square the radius and multiply by π. That's 55^2 * π, making the original area 3025π m^2.
After, the diameter decreased to 107 m, making the radius 53.5 m. Again, you square the radius and multiply by π, making the new area 2862.25π m^2.
Subtract the 2862.25π from 3025π, giving you a total reduction of 162.75π square meters.
Rounded to the nearest hundredth, that's 511.29 square meters.
Answer: equilateral
Step-by-step explanation:
There are 3,204 tons of the sugar in the entire shipment
Answer:
theorem: second option
postulate: third option
diagram: last option
definition: first option
Step-by-step explanation:
