Answer:
Step-by-step explanation:
From the given information;
The null and alternative hypothesis is:
![\mathbf{H_o: \mu =0}](https://tex.z-dn.net/?f=%5Cmathbf%7BH_o%3A%20%5Cmu%20%3D0%7D)
![\mathbf{H_a: \mu \ne 0}](https://tex.z-dn.net/?f=%5Cmathbf%7BH_a%3A%20%5Cmu%20%5Cne%200%7D)
sample mean x = -2
population mean = 0
SD = 6
sample size n = 25
Using t-test statistics:
![t = \dfrac{x- \mu}{\dfrac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=t%20%3D%20%5Cdfrac%7Bx-%20%5Cmu%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
![t = \dfrac{-2- 0}{\dfrac{6}{\sqrt{25}}}](https://tex.z-dn.net/?f=t%20%3D%20%5Cdfrac%7B-2-%200%7D%7B%5Cdfrac%7B6%7D%7B%5Csqrt%7B25%7D%7D%7D)
t = -1.667
P-value = P(t ≤ -1.667) + P(t ≥ 1.667)
P-value = 0.1086
Since P-value is greater than
, we fail to reject
.
Answer:
sin 4/9 if cos is 3/5
Step-by-step explanation:
A cosine function is equivalent to the adjacent side divided by the hypotenuse , from SOH-CAH-TOA.
So, our adjacent side can be 3 , and the hypotenuse can be 5.
Then, we can use the Pythagorean theorem (a^2 + b^2 = c^2) to find the missing side length.
3^2+b^2=5^2
9+b^2 =25
b^2=16
b = 4
We found our three sides: 4, 5, and 9.
We know from SOH-CAH-TOA that the sine function is equivalent to the opposite side length divided by the hypotenuse length. So:
sin θ = 4/9
Answer:
3 hours.. I hope
Step-by-step explanation:
For every hour, he pays 11+7 dollars, which is 18.
He pays 18 dollars an hour to rent a bike.
So to find the answer, I just take 67 and divide it by 18.
Comes to 3.7
The answer should be 3 hours.
Answer:
Probability=2/5
Step-by-step explanation:
Let the line segment be AB of uniform length and x is distance
so
![P(\frac{min(x,L-x)}{max(x,L-x)} )](https://tex.z-dn.net/?f=P%28%5Cfrac%7Bmin%28x%2CL-x%29%7D%7Bmax%28x%2CL-x%29%7D%20%29%3C1%2F4)
Case 1 min(x,L-x) then
![=\frac{x}{L-x}\leq 1/4\\x](https://tex.z-dn.net/?f=%3D%5Cfrac%7Bx%7D%7BL-x%7D%5Cleq%20%201%2F4%5C%5Cx%3CL%2F5)
Case 2 min(x,L-x)=L-x then
![=\frac{L-x}{x}\frac{4L}{5}\\](https://tex.z-dn.net/?f=%3D%5Cfrac%7BL-x%7D%7Bx%7D%3C1%2F4%5C%5C%20x%3E%5Cfrac%7B4L%7D%7B5%7D%5C%5C)
So Probability
![P=\int\limits^{L/5}_0 {f(x)} \, dx+\int\limits^{L}_{4L/5} {f(x)} \, dx\\ P=\int\limits^{L/5}_0 {\frac{1}{L} } \, dx+\int\limits^L_{4L/5} {\frac{1}{L} } \, dx\\ P=\frac{1}{L}(\frac{L}{5} -0+L-\frac{4L}{5} )\\ P=\frac{1}{L} (2L/5)\\P=\frac{2}{5}](https://tex.z-dn.net/?f=P%3D%5Cint%5Climits%5E%7BL%2F5%7D_0%20%7Bf%28x%29%7D%20%5C%2C%20dx%2B%5Cint%5Climits%5E%7BL%7D_%7B4L%2F5%7D%20%7Bf%28x%29%7D%20%5C%2C%20dx%5C%5C%20%20P%3D%5Cint%5Climits%5E%7BL%2F5%7D_0%20%7B%5Cfrac%7B1%7D%7BL%7D%20%7D%20%5C%2C%20dx%2B%5Cint%5Climits%5EL_%7B4L%2F5%7D%20%7B%5Cfrac%7B1%7D%7BL%7D%20%7D%20%5C%2C%20dx%5C%5C%20%20P%3D%5Cfrac%7B1%7D%7BL%7D%28%5Cfrac%7BL%7D%7B5%7D%20-0%2BL-%5Cfrac%7B4L%7D%7B5%7D%20%29%5C%5C%20P%3D%5Cfrac%7B1%7D%7BL%7D%20%282L%2F5%29%5C%5CP%3D%5Cfrac%7B2%7D%7B5%7D)
Answer:
Якщо ти перекладаєш це, то ти неписьменний. якщо ти читаєш це, я пишаюся тобою. Його коричневий. Лол. Нані, УуУ, Оні-Чан.
Step-by-step explanation: