Answer:
We should reject H0
At the 5% significance level, there is sufficient evidence to conclude that the die is not fair.
Step-by-step explanation:
Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. The critical value is 15.091 and test statistic is 11.070. The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value Test statistics is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. In the given case p-value is less than critical value then we should reject the null hypothesis.
Part A) Y cannot be described as a function of x, because in order to be a function, there can only be one input, the x value, for every output, f(x) or the y value. Since the x value, 16, generates two y values, -2 and 2, this cannot be called a function.
Part B)
<span>f(x) = 25x + 16
f(20)= 25(20) + 16
f(20) = 500 + 16
f(20) = 516
This is the total cost, in dollars, of renting the truck for 20 hours. </span>
Answer:
x=7/5......... ..... .......
let's firstly convert the mixed fractions to improper fractions and then divide.
![\bf \stackrel{mixed}{6\frac{1}{2}}\implies \cfrac{6\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{13}{2}}~\hfill \stackrel{mixed}{1\frac{5}{8}\implies \cfrac{1\cdot 8+5}{8}}\implies \stackrel{improper}{\cfrac{13}{8}} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B6%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B6%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B13%7D%7B2%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B1%5Cfrac%7B5%7D%7B8%7D%5Cimplies%20%5Ccfrac%7B1%5Ccdot%208%2B5%7D%7B8%7D%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B13%7D%7B8%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
![\bf \stackrel{\textit{total salad}}{\cfrac{13}{2}}\div \stackrel{\stackrel{\textit{conainer's}}{\textit{capacity}}}{\cfrac{13}{8}}\implies \cfrac{\begin{matrix} 13 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}{\underset{1}{\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}}\cdot \cfrac{\stackrel{4}{\begin{matrix} 8 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}}{\begin{matrix} 13 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}\implies 4](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Btotal%20salad%7D%7D%7B%5Ccfrac%7B13%7D%7B2%7D%7D%5Cdiv%20%5Cstackrel%7B%5Cstackrel%7B%5Ctextit%7Bconainer%27s%7D%7D%7B%5Ctextit%7Bcapacity%7D%7D%7D%7B%5Ccfrac%7B13%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B%5Cbegin%7Bmatrix%7D%2013%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D%7D%7B%5Cunderset%7B1%7D%7B%5Cbegin%7Bmatrix%7D%202%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D%7D%7D%5Ccdot%20%5Ccfrac%7B%5Cstackrel%7B4%7D%7B%5Cbegin%7Bmatrix%7D%208%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D%7D%7D%7B%5Cbegin%7Bmatrix%7D%2013%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D%7D%5Cimplies%204)
Your answer is 29.2 good sir.
Hope this helps :)
