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 3 in 350 is in the hundred place and in 403 the 3 is in the ones place
-3(6-10v-5v)
=-3(6-15v)
=-18+45v
-18+45v is the final answer.
Answer:
(A)If the points are on the same line, then the points are collinear. True
Step-by-step explanation:
Given the conditional statement:
- Collinear points are on the same line.
Its converse will be:
- If the points are on the same line, then the points are collinear.
This is true because by definition of collinearity, the points must be on the same line. Therefore, no counter example is needed.
<u>The correct option is A.</u>