Answer:
23
Step-by-step explanation:
In this question, we want to evaluate the expression "9z-4" for z=3.
This means, we want to calculate the result when we substitute the z in this expression for 3.
So we have: 9(3)-4, which is equal to 23.
Let me know if this helps!
Answer:
46mins
EXPLANATION
20 cents=10mins
customers working hrs=$4.60*10
$4.60*10=46 minutes
Answer:
![\large\boxed{(f-g)(x)=2x-3}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%28f-g%29%28x%29%3D2x-3%7D)
Step-by-step explanation:
![(f-g)(x)=f(x)-g(x)\\\\f(x)=3x-1,\ g(x)=x+2\\\\\text{substitute:}\\\\(f-g)(x)=(3x-1)-(x+2)\\\\=3x-1-x-2\qquad\text{combine like terms}\\\\=(3x-x)+(-1-2)\\\\=2x-3](https://tex.z-dn.net/?f=%28f-g%29%28x%29%3Df%28x%29-g%28x%29%5C%5C%5C%5Cf%28x%29%3D3x-1%2C%5C%20g%28x%29%3Dx%2B2%5C%5C%5C%5C%5Ctext%7Bsubstitute%3A%7D%5C%5C%5C%5C%28f-g%29%28x%29%3D%283x-1%29-%28x%2B2%29%5C%5C%5C%5C%3D3x-1-x-2%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C%3D%283x-x%29%2B%28-1-2%29%5C%5C%5C%5C%3D2x-3)
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