Answer:
2(47m^3-16n^3)
Step-by-step explanation:
Prime numbers 2,3,5,7,11,13,17,19,23
so 2+3+5=10 no
3+5+7=15 no
3+5+11=19 Yes this is your answer
Step-by-step explanation:
as just answered in the other question, the y-intercept is simply the y-value, when x=0.
it is -5 for function 1.
and function 2 clearly crosses the y-axis at y = -7, which is the y-intercept.
as -5 is greater than -7, function 1 had the greater y- intercept.
Solution :
a).
Given : Number of times, n = 25
Sigma, σ = 0.200 kg
Weight, μ = 13 kg
Therefore the hypothesis should be tested are :
![$H_0 : \mu = 13 $](https://tex.z-dn.net/?f=%24H_0%20%3A%20%5Cmu%20%3D%2013%20%24)
![$H_a : \mu \neq 13$](https://tex.z-dn.net/?f=%24H_a%20%3A%20%5Cmu%20%5Cneq%2013%24)
b). When the value of ![$\overline x = 12.84$](https://tex.z-dn.net/?f=%24%5Coverline%20x%20%3D%2012.84%24)
Test statics :
![$Z=\frac{(\overline x - \mu)}{\frac{\sigma}{\sqrt n}} $](https://tex.z-dn.net/?f=%24Z%3D%5Cfrac%7B%28%5Coverline%20x%20-%20%5Cmu%29%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%20n%7D%7D%20%24)
![$Z=\frac{(14.82-13)}{\frac{0.2}{\sqrt {25}}} $](https://tex.z-dn.net/?f=%24Z%3D%5Cfrac%7B%2814.82-13%29%7D%7B%5Cfrac%7B0.2%7D%7B%5Csqrt%20%7B25%7D%7D%7D%20%24)
![$=\frac{1.82}{0.04}$](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B1.82%7D%7B0.04%7D%24)
= 45.5
P-value = 2 x P(Z > 45.5)
= 2 x 1 -P (Z < 45.5) = 0
Reject the null hypothesis if P value < α = 0.01 level of significance.
So reject the null hypothesis.
Therefore, we conclude that the true mean measured weight differs from 13 kg.
Ok, so if you want to convert 7/8 into a decimal, you just simply divide 7 into 8. Well that should be 0.875 because 7 ÷ 8 = 0.875 Hope that helped!!! :)