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
Answer:
To find his height u need to subtract 63-9
Step-by-step explanation:
63 - 9 = 54
Answer:
3 x^4 + -75
Step-by-step explanation:
Expand the following:
3 (x^2 + 5) (x^2 - 5)
(x^2 + 5) (x^2 - 5) = (x^2) (x^2) + (x^2) (-5) + (5) (x^2) + (5) (-5) = x^4 - 5 x^2 + 5 x^2 - 25 = x^4 - 25:
3 x^4 - 25
3 (x^4 - 25) = 3 x^4 + 3 (-25):
3 x^4 - 25×3
3 (-25) = -75:
Answer: 3 x^4 + -75
3h-2(1+4h) in standard form would be
-5h-2
Answer:
The shaded area is 18 ft^2
Step-by-step explanation:
First find the area of the total trapezoid
A = bh
A = 1/2 ( b1+b2) *h
= 1/2 ( 6+12) *6
= 1/2 ( 18)*6
=54
Now find the area of the triangle
A = 1/2 bh
= 1/2 ( 12) * 6
= 36
Subtract the triangle from the trapezoid
54-36
18
The shaded area is 18 ft^2
