The volume of a cylinder is: Pi*r(2)h
* means multiply
Answer:
2(3x+10) = 6x+20
6x+20 = 6x+20
6x = 6x
x = x
This has an infinite amount of solutions
Step-by-step explanation:
Answer:
![d \le -3](https://tex.z-dn.net/?f=d%20%5Cle%20-3)
Step-by-step explanation:
The given inequality is;
![\frac{d-3}{10} \ge \frac{2d+3}{5}+\frac{d+3}{3}](https://tex.z-dn.net/?f=%5Cfrac%7Bd-3%7D%7B10%7D%20%5Cge%20%5Cfrac%7B2d%2B3%7D%7B5%7D%2B%5Cfrac%7Bd%2B3%7D%7B3%7D)
Clear the fraction by multiply through by 30;
![3(d-3) \ge 6(2d+3)+10(d+3)](https://tex.z-dn.net/?f=3%28d-3%29%20%5Cge%206%282d%2B3%29%2B10%28d%2B3%29)
Expand;
![3d-9\ge 12d+18+10d+30](https://tex.z-dn.net/?f=3d-9%5Cge%2012d%2B18%2B10d%2B30)
Group like terms;
![3d-12d-10d \ge 18+30+9](https://tex.z-dn.net/?f=3d-12d-10d%20%5Cge%2018%2B30%2B9)
![-19d \ge 57](https://tex.z-dn.net/?f=-19d%20%5Cge%2057)
Divide through by -19 and reverse the sign.
![d \le -3](https://tex.z-dn.net/?f=d%20%5Cle%20-3)
Answer:
k = 18
when x = 4, y = 3, z = -24
Step-by-step explanation:
x = k * y * z
Find k when x = 4, y = 3, and z = 24
4 = k * 3 * 24
4 = k * 72
4 = 72k
k = 72/4
k = 18
find z when x = -3 and y = 4
x = k * y * z
-3 = 18 * 4 * z
-3 = 72 * z
-3 = 72z
z = 72/-3
z = -24
Answer:
Part I: C. statistic
Part II: 95% confidence interval = (0.130, 0.270)
Step-by-step explanation:
Part I: The proportion of the 125 people who are living below the poverty line, 25/125, is which of the following: statistic, as it is a measure taken from the sample.
Part II:
We have to calculate a 95% confidence interval for the proportion.
The sample proportion is p=0.2.
![p=X/n=25/125=0.2](https://tex.z-dn.net/?f=p%3DX%2Fn%3D25%2F125%3D0.2)
The standard error of the proportion is:
![\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.2*0.8}{125}}\\\\\\ \sigma_p=\sqrt{0.00128}=0.035777](https://tex.z-dn.net/?f=%5Csigma_p%3D%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%3D%5Csqrt%7B%5Cdfrac%7B0.2%2A0.8%7D%7B125%7D%7D%5C%5C%5C%5C%5C%5C%20%5Csigma_p%3D%5Csqrt%7B0.00128%7D%3D0.035777)
The critical z-value for a 95% confidence interval is z=1.96.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 95% confidence interval for the population proportion is (0.130, 0.270).