He bought 3 small notebooks (3*7=21) and 3 large notebooks (3*10=30)
21+30=51
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)
So the first thing you would have to is to find a common denominator so a common denominator between 11 and 15 is 165. 3/11 * 15 =45/165 next you would do 7/15 * 11=77/165 no that both denominators are the same we add the numerator but the denominator stays the same so 45/165 + 77/165 = 122/165
and since it can't be reduced any more 122/165 is your answer.
hope this helps :)
Answer:
B.
Step-by-step explanation:
Have a good day i hope this helps :)
Answer:
about 50
Step-by-step explanation:
that's all I can think of