12 more than the quotient of a number t and 7
is v
12 more than
the quotient of a number t and 7 = v (quotient means to divide)
12 more than t / 7 = v
We are given that:
The spinner is a 3 divisions spinner. Numbering from 1-3
When the spinner is spun twice, the sum obtained will range from 2-6 as shown below:
![\begin{gathered} nth\colon Spin_1+Spin_2 \\ \\ 1st\colon1+1=2 \\ 2nd\colon1+2=3 \\ 3rd\colon1+3=4 \\ \\ 4th\colon2+1=3 \\ 5th\colon2+2=4 \\ 6th\colon2+3=5 \\ \\ 7th\colon3+1=4 \\ 8th\colon3+2=5 \\ 9th\colon3+3=6 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20nth%5Ccolon%20Spin_1%2BSpin_2%20%5C%5C%20%20%5C%5C%201st%5Ccolon1%2B1%3D2%20%5C%5C%202nd%5Ccolon1%2B2%3D3%20%5C%5C%203rd%5Ccolon1%2B3%3D4%20%5C%5C%20%20%5C%5C%204th%5Ccolon2%2B1%3D3%20%5C%5C%205th%5Ccolon2%2B2%3D4%20%5C%5C%206th%5Ccolon2%2B3%3D5%20%5C%5C%20%20%5C%5C%207th%5Ccolon3%2B1%3D4%20%5C%5C%208th%5Ccolon3%2B2%3D5%20%5C%5C%209th%5Ccolon3%2B3%3D6%20%5Cend%7Bgathered%7D)
We can thus see the probability distribution from above (I will write it below):
![\begin{gathered} P(sum)=\frac{chance.of.outcome}{possible.outcome} \\ \\ P(2)=\frac{1}{9} \\ P(3)=\frac{2}{9} \\ P(4)=\frac{3}{9} \\ P(5)=\frac{2}{9} \\ P(6)=\frac{1}{9} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%28sum%29%3D%5Cfrac%7Bchance.of.outcome%7D%7Bpossible.outcome%7D%20%5C%5C%20%20%5C%5C%20P%282%29%3D%5Cfrac%7B1%7D%7B9%7D%20%5C%5C%20P%283%29%3D%5Cfrac%7B2%7D%7B9%7D%20%5C%5C%20P%284%29%3D%5Cfrac%7B3%7D%7B9%7D%20%5C%5C%20P%285%29%3D%5Cfrac%7B2%7D%7B9%7D%20%5C%5C%20P%286%29%3D%5Cfrac%7B1%7D%7B9%7D%20%5Cend%7Bgathered%7D)
Therefore, the answer is the third option
Step-by-step explanation:
16.31
.......................
Answer:
This is convincing evidence that the responses differ between these countries.
Step-by-step explanation:
The data in this study came from separate samples, so a test for homogeneity is appropriate. Since the P-value is less than the significance level, we should reject the null hypothesis that the distribution of responses is the same in both countries.