Answer:
proportion of gamers who prefer console does not differ from 29%
Step-by-step explanation:
Given :
n = 341 ; x = 95 ; Phat = x / n = 95/341 = 0.279
H0 : p = 0.29
H1 : p ≠ 0.29
The test statistic :
T = (phat - p) ÷ √[(p(1 - p)) / n]
T = (0.279 - 0.29) ÷ √[(0.29(1 - 0.29)) / 341]
T = (-0.011) ÷ √[(0.29 * 0.71) / 341]
T = -0.011 ÷ 0.0245725
T = - 0.4476532
Using the Pvalue calculator from test statistic score :
df = 341 - 1 = 340
Pvalue(-0.447, 340) ; two tailed = 0.654
At α = 0.01
Pvalue > α ; We fail to reject the null and conclude that there is no significant evidence that proportion of gamers who prefer console differs from 29%
30x 10= 300x 10= 3000. Times by ten
Answer:
1x,5y
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
![\sqrt[4]{2x^2} *\sqrt[4]{2x^3} =(2x^2)^{1/4}*(2x^3)^{1/4}\\= 2^{1/4}*(x^2)^{1/4} *2^{1/4} * (x^3)^{1/4}\\](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B2x%5E2%7D%20%2A%5Csqrt%5B4%5D%7B2x%5E3%7D%20%3D%282x%5E2%29%5E%7B1%2F4%7D%2A%282x%5E3%29%5E%7B1%2F4%7D%5C%5C%3D%202%5E%7B1%2F4%7D%2A%28x%5E2%29%5E%7B1%2F4%7D%20%2A2%5E%7B1%2F4%7D%20%2A%20%28x%5E3%29%5E%7B1%2F4%7D%5C%5C)
combine like terms

these steps use exponent laws
a few key ones i used:
(x^y^z) = x^(y*z)
x^y * x^z = x^(y+z)
let me know if you have any questions!