A list of values ordered from least to greatest is shown. One of the values is missing.
8/5, √8, ?, 3^√64
Select all the values that could be the missing value in the list.
π
12/5
√9
√20
3^√30
250%
To find the missing value in the list, we can compare the given values and see which one fits into the sequence.
Given values: 8/5, √8, ?, 3^√64
Comparing the given values, we can see the following relationships:
8/5 is greater than √8, and 3^√64 is the greatest value among all.
From this information, we can conclude that the missing value must be greater than √8 but less than 3^√64.
Now let's check the options to see which ones fit this criteria:
π is approximately 3.14159 which is greater than √8 (2.82843) but less than 3^√64 (17.03). So, π could be the missing value.
12/5 is greater than √8 (2.82843) but less than 3^√64 (17.03). So, 12/5 could be the missing value.
√9 is 3, which is greater than √8 (2.82843) but less than 3^√64 (17.03). So, √9 could be the missing value.
√20 is approximately 4.47214 which is greater than √8 (2.82843) but less than 3^√64 (17.03). So, √20 could be the missing value.
3^√30 is approximately 37.10459 which is greater than √8 (2.82843) but less than 3^√64 (17.03). So, √20 could be the missing value.
250% can be written as 2.5, which is greater than √8 (2.82843) but less than 3^√64 (17.03). So, 250% could be the missing value.
Based on this analysis, all the given options (π, 12/5, √9, √20, 3^√30, 250%) could be the missing value in the list.