Let's start with our parent function:
f(x) = sin x
One cycle on this graph occurs between 0 and 2π. Therefore, our b-value is one.
There is no vertical shift up. The sinusoidal axis is along y = 0.
The wave is not inverted, it starts at the origin and rises on both the y and x axis. Thus there is no negative value before the function.
The amplitude of the wave is 3. A normal sine wave rises to a maximum of 1, but this is multiplied by 3.
f(x) = 3 sin x
There are an infinite amount of equations that could be used to represent this graph, but this is perhaps the most intuitive.
4(d-1), if you expand it gets 4d-4.
F(4-x)=12
Domain:(-oo,oo) these are infinity symbols by the way.
Answer:
1329.85≤μ≤1330.14
Step-by-step explanation:
z score for 99% confidence interval
from the z table we can find that the score for 99% confidence is 2.58
formula
z=![\frac{x-μ}{[tex]\frac{{σ}[tex]\sqrt{n}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-%CE%BC%7D%7B%5Btex%5D%5Cfrac%7B%7B%CF%83%7D%5Btex%5D%5Csqrt%7Bn%7D)
}[/tex]}[/tex]
where
x-sample mean
μ-population mean
σ-population standard deviation
n-sample size
2.58=![\frac{1330-μ}{[tex]\frac{{442}[tex]\sqrt{24}](https://tex.z-dn.net/?f=%5Cfrac%7B1330-%CE%BC%7D%7B%5Btex%5D%5Cfrac%7B%7B442%7D%5Btex%5D%5Csqrt%7B24%7D)
}[/tex]}[/tex]
1330-2.58×24÷442≤μ≤1330+2.58×24÷442
1329.85≤μ≤1330.14
Answer:
Height:10
Radius:9
Diameter:18
Volume:2544.69
