the radius = 5.5
height = 13
V = πr²h = π5.5² x 13
The answer= 30.25π x 13= 393.25π
Volume = 1234.805
Answer:
The test statistic is Z = 1.157
Step-by-step explanation:
Given that:
The sample size n = 1200
The sample proportion of those that will vote for the Republican candidate is represented by ![\hat p = \dfrac{x}{n}](https://tex.z-dn.net/?f=%5Chat%20p%20%3D%20%5Cdfrac%7Bx%7D%7Bn%7D)
![\hat p = \dfrac{620}{1200}](https://tex.z-dn.net/?f=%5Chat%20p%20%3D%20%5Cdfrac%7B620%7D%7B1200%7D)
![\hat p =0.5167](https://tex.z-dn.net/?f=%5Chat%20p%20%3D0.5167)
The null and the alternative hypothesis can be computed as:
![H_o: P=0.50 \\ \\ H_a :P>0.50](https://tex.z-dn.net/?f=H_o%3A%20P%3D0.50%20%5C%5C%20%5C%5C%20H_a%20%3AP%3E0.50)
The formula for the one-sample Z-test for the population proportion can be expressed as:
![Z = \dfrac{\hat p - P_o}{\sqrt{\dfrac{P_o(1-P_o)}{n}}}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cdfrac%7B%5Chat%20p%20-%20P_o%7D%7B%5Csqrt%7B%5Cdfrac%7BP_o%281-P_o%29%7D%7Bn%7D%7D%7D)
![Z = \dfrac{0.5167 - 0.5}{\sqrt{\dfrac{0.5(1-0.5)}{1200}}}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cdfrac%7B0.5167%20-%200.5%7D%7B%5Csqrt%7B%5Cdfrac%7B0.5%281-0.5%29%7D%7B1200%7D%7D%7D)
![Z = \dfrac{0.0167}{\sqrt{\dfrac{0.5(0.5)}{1200}}}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cdfrac%7B0.0167%7D%7B%5Csqrt%7B%5Cdfrac%7B0.5%280.5%29%7D%7B1200%7D%7D%7D)
![Z = \dfrac{0.0167}{\sqrt{\dfrac{0.25}{1200}}}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cdfrac%7B0.0167%7D%7B%5Csqrt%7B%5Cdfrac%7B0.25%7D%7B1200%7D%7D%7D)
![Z = \dfrac{0.0167}{\sqrt{2.08333333\times10^{-4}}}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cdfrac%7B0.0167%7D%7B%5Csqrt%7B2.08333333%5Ctimes10%5E%7B-4%7D%7D%7D)
Z = 1.157
F(X) means plug in te number within the parenthesis for the given function. It's simply an equation expressed through different notation. In this case it asks you to plug in two, so you do:
-3(2)+4 = f(2)
That means that f(2)=-2.
Answer:
- 7, - 3, 1, 5
Step-by-step explanation:
Using the recursive rule and a₁ = - 7, then
a₂ = a₁ + 4 = - 7 + 4 = - 3
a₃ = a₂ + 4 = - 3 + 4 = 1
a₄ = a₃ + 4 = 1 + 4 = 5
The first four terms are - 7, - 3, 1, 5