Answer: C. ![(29,\ 37.8)](https://tex.z-dn.net/?f=%2829%2C%5C%2037.8%29)
Step-by-step explanation:
The confidence interval for difference of two population mean is given by :-
![\overline{x}_1-\overline{x}_2\pm z_{\alpha/2}\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2}}](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D_1-%5Coverline%7Bx%7D_2%5Cpm%20z_%7B%5Calpha%2F2%7D%5Csqrt%7B%5Cdfrac%7Bs_1%5E2%7D%7Bn_1%7D%2B%5Cdfrac%7Bs_2%5E2%7D%7Bn_2%7D%7D)
Given : Level of significance : ![1-\alpha:0.99](https://tex.z-dn.net/?f=1-%5Calpha%3A0.99)
Then , significance level : ![\alpha: 1-0.99=0.01](https://tex.z-dn.net/?f=%5Calpha%3A%201-0.99%3D0.01)
Critical value : ![z_{\alpha/2}=z_{0.005}=2.576](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3Dz_%7B0.005%7D%3D2.576)
![n_1=30\ ;\ n_2=50\\\\\overline{x}_1=46.7\ ;\ \overline{x}_2=13.3\\\\s_1=9.2\ ;\ s_2=1.9](https://tex.z-dn.net/?f=n_1%3D30%5C%20%3B%5C%20n_2%3D50%5C%5C%5C%5C%5Coverline%7Bx%7D_1%3D46.7%5C%20%3B%5C%20%5Coverline%7Bx%7D_2%3D13.3%5C%5C%5C%5Cs_1%3D9.2%5C%20%3B%5C%20s_2%3D1.9)
![46.7-13.3\pm(2.576)\sqrt{\dfrac{9.2^2}{30}+\dfrac{1.9^2}{50}}\approx33.4\pm4.38=(29.02\ ,37.78)\approx(29,\ 37.8)](https://tex.z-dn.net/?f=46.7-13.3%5Cpm%282.576%29%5Csqrt%7B%5Cdfrac%7B9.2%5E2%7D%7B30%7D%2B%5Cdfrac%7B1.9%5E2%7D%7B50%7D%7D%5Capprox33.4%5Cpm4.38%3D%2829.02%5C%20%2C37.78%29%5Capprox%2829%2C%5C%2037.8%29)
Hence, a 99% confidence interval for the difference between the mean wait times of everyone who rode both rides ![(29,\ 37.8)](https://tex.z-dn.net/?f=%2829%2C%5C%2037.8%29)
Answer:
Most likely B
Step-by-step explanation:
Most likely B because it starts up around 5 which is the y int of B
Sorry I just need points so I can have it on the phone later after work and I will have to go get it bruh was a day and a half day
Answer:
3^4 / 8^2 or 81/64
Step-by-step explanation:
(-8)^-2 / 3^-4 =
= 3^4 / (-8)^2
= 3^4 / 8^2
= 81/64
![\sf \dashrightarrow \: - \frac{2}{5} - ( - \frac{3}{10} ) - ( - \frac{4}{7} )](https://tex.z-dn.net/?f=%20%5Csf%20%5Cdashrightarrow%20%5C%3A%20%20-%20%20%5Cfrac%7B2%7D%7B5%7D%20%20-%20%28%20-%20%20%5Cfrac%7B3%7D%7B10%7D%20%29%20-%20%28%20-%20%20%5Cfrac%7B4%7D%7B7%7D%20%29)
When there is a - in front of an expression in parentheses, change the sign of each term in the expression to +
![\sf \dashrightarrow \: - \frac{2}{5} + \frac{3}{10} + \frac{4}{7}](https://tex.z-dn.net/?f=%20%5Csf%20%5Cdashrightarrow%20%5C%3A%20%20-%20%20%5Cfrac%7B2%7D%7B5%7D%20%20%20%20%2B%20%5Cfrac%7B3%7D%7B10%7D%20%20%2B%20%20%5Cfrac%7B4%7D%7B7%7D%20)
Calculate the LCM of denominators
![\sf\frac{ - 28 + 21 + 40}{70}](https://tex.z-dn.net/?f=%20%20%5Csf%5Cfrac%7B%20-%2028%20%2B%2021%20%2B%2040%7D%7B70%7D%20)
Calculate the difference
![\bf \underline{ \underline \frac{33}{70} }](https://tex.z-dn.net/?f=%20%5Cbf%20%5Cunderline%7B%20%5Cunderline%20%5Cfrac%7B33%7D%7B70%7D%20%7D)