Answer:
25%=7 75%=21 100%=28 125%= 35 150%=42
Answer is: B
Step-by-step explanation: correct answer is B
b
2
−a
2
Given, acotθ+bcscθ=p
bcotθ+acscθ=q
⇒p
2
−q
2
=(p−q)(p+q)
=[acotθ+bcscθ−bcotθ−acscθ][acotθ+bcscθ+bcotθ+acscθ]
=[cotθ(a−b)−cscθ(a−b)][cotθ(a+b)+cscθ(a+b)]
=(a−b)(cotθ−cscθ)(a+b)(cotθ+cscθ)
=(a
2
−b
2
)(cot
2
θ−csc
2
θ)
=(−1)(a
2
−b
2
)[∵csc
2
θ−cot
2
θ=1]
=(b
2
−a
2
)
Given is a piecewise function which follows different expressions according the the value of input x.
Given ![f(x)=\left \{ {{-10, \;if \;x2} } \right.](https://tex.z-dn.net/?f=f%28x%29%3D%5Cleft%20%5C%7B%20%7B%7B-10%2C%20%5C%3Bif%20%5C%3Bx%3C5%7D%20%5Catop%20%7Bx%5E3%2C%20%5C%3Bif%20%5C%3B-5%7D%5Cleq%20x%20%5Cleq%202%7D%20%5Catop%20%7B2x%2B4%2C%20%5C%3Bif%5C%3Bx%3E2%7D%20%7D%20%5Cright.)
It says to find f(-4) i.e. the value of function f(x) at x = -4.
At point x = -4, f(x) is x³, if -5 ≤ x ≤ 2.
So, f(-4) = (-4)³
f(-4) = -4 × -4 × -4
f(-4) = -64.
Hence, option A is correct i.e. -64.
Answer:
Step-by-step explanation:
The null and the alternative hypothesis is:
![H_o: \mu_c \ge \mu_{us}](https://tex.z-dn.net/?f=H_o%3A%20%5Cmu_c%20%5Cge%20%5Cmu_%7Bus%7D)
The t- student test statistics can be computed as:
![t = \dfrac{x_c- x_{us}}{\sqrt{\dfrac{\sigma_c^2}{n_c} + \dfrac{\sigma_{us}^2}{n_{us}} }}](https://tex.z-dn.net/?f=t%20%3D%20%5Cdfrac%7Bx_c-%20x_%7Bus%7D%7D%7B%5Csqrt%7B%5Cdfrac%7B%5Csigma_c%5E2%7D%7Bn_c%7D%20%2B%20%5Cdfrac%7B%5Csigma_%7Bus%7D%5E2%7D%7Bn_%7Bus%7D%7D%20%7D%7D)
![t = \dfrac{19- 21}{\sqrt{\dfrac{7^2}{100} + \dfrac{8^2}{130} }}](https://tex.z-dn.net/?f=t%20%3D%20%5Cdfrac%7B19-%2021%7D%7B%5Csqrt%7B%5Cdfrac%7B7%5E2%7D%7B100%7D%20%2B%20%5Cdfrac%7B8%5E2%7D%7B130%7D%20%7D%7D)
t = -2.017
degree of freedom = (n₁ - 1) + (n₂ - 1)
= (100 - 1) + (130 - 1)
= 228
Using the data of t-value and degree of freedom;
The P-value = -0.224
Decision rule: Do not reject the null hypothesis if the p-value is greater than ∝(0.01)
Conclusion: We reject the null hypothesis since the p-value is less than ∝.
Therefore, there is enough evidence to conclude that the mean age of entering prostitution in Canada is lower than that of the United States.
Answer:
[• 0>×]
°×>0
°0≥×
°×≥0
Step-by-step explanation:
I hope it's help^^