Answer :
Let's analyze the given statements about e-commerce revenue proportions for the years 2016, 2017, and 2018.
### Statement 1:
"The greatest proportion of 2018 e-commerce revenue came on Cyber Monday, contributing one-third of the total 2018 e-commerce revenue. This statement is [tex]$\square$[/tex]"
We need to determine if Cyber Monday contributed the greatest proportion of the total e-commerce revenue in 2018 and whether it was one-third (0.33) of the total.
From the table:
- Cyber Monday 2018 proportion: 0.33
- Comparing with other days in 2018:
- Thanksgiving: 0.14
- Black Friday: 0.25
- Saturday: 0.13
- Sunday: 0.14
While Cyber Monday did contribute a significant proportion of the revenue, it is not the greatest proportion because it does not uniquely exceed others in all cases.
Therefore, the statement is False.
### Statement 2:
"Of 2016's e-commerce revenue, [tex]$25 billion came on Black Friday." We know from the table that the revenue proportion for Black Friday in 2016 is 0.25 (or 25%). To find the total 2016 e-commerce revenue given Black Friday's $[/tex]25 billion contribution, we can use the proportion:
[tex]\[ \text{Total revenue} = \frac{\text{Black Friday revenue}}{\text{Black Friday proportion}} = \frac{25 \text{ billion}}{0.25} = 100 \text{ billion} \][/tex]
Thus, the total e-commerce revenue for 2016 would be $100 billion.
This calculation confirms that the statement is accurate.
Therefore, the statement is True.
### Statement 1:
"The greatest proportion of 2018 e-commerce revenue came on Cyber Monday, contributing one-third of the total 2018 e-commerce revenue. This statement is [tex]$\square$[/tex]"
We need to determine if Cyber Monday contributed the greatest proportion of the total e-commerce revenue in 2018 and whether it was one-third (0.33) of the total.
From the table:
- Cyber Monday 2018 proportion: 0.33
- Comparing with other days in 2018:
- Thanksgiving: 0.14
- Black Friday: 0.25
- Saturday: 0.13
- Sunday: 0.14
While Cyber Monday did contribute a significant proportion of the revenue, it is not the greatest proportion because it does not uniquely exceed others in all cases.
Therefore, the statement is False.
### Statement 2:
"Of 2016's e-commerce revenue, [tex]$25 billion came on Black Friday." We know from the table that the revenue proportion for Black Friday in 2016 is 0.25 (or 25%). To find the total 2016 e-commerce revenue given Black Friday's $[/tex]25 billion contribution, we can use the proportion:
[tex]\[ \text{Total revenue} = \frac{\text{Black Friday revenue}}{\text{Black Friday proportion}} = \frac{25 \text{ billion}}{0.25} = 100 \text{ billion} \][/tex]
Thus, the total e-commerce revenue for 2016 would be $100 billion.
This calculation confirms that the statement is accurate.
Therefore, the statement is True.