Answer: 5/12 of the whole pizza
So we start we the whole pizza = 1
Then he ate 3/8:
1 - 3/8
And then 2/3 of what was left:
2/3(1 - 3/8)
2/3 - 1/4
8/12 - 3/12
5/12
Answer:
9 : 1
Step-by-step explanation:
given a linear ratio = a : b, then the corresponding area ratio is
a² : b²
Here the linear ratio of their edges = 3 : 1, hence
ratio of surface areas = 3² : 1² = 9 : 1
Answer:
The degrees of freedom are given by:
The significance level is 
and then the critical value can be founded in th chi square table we need a quantile that accumulates 0.05 of the area in the right tail of the distribution and for this case is:
And if the chi square statistic is higher than the critical value we can reject the null hypothesis in favor of the alternative.
Step-by-step explanation:
We have the followign system of hypothesis:
Null hypothesis: 
Alternative hypothesis: 
The degrees of freedom are given by:
The significance level is and then the critical value can be founded in th chi square table we need a quantile that accumulates 0.05 of the area in the right tail of the distribution and for this case is:
And if the chi square statistic is higher than the critical value we can reject the null hypothesis in favor of the alternative.
