A TV show had 4.4 x 106 viewers in the first week and 3.1 x 106 viewers in the second week. Determine the average number of viewers over the two weeks and write the final answer in scientific notation.
a) 3.75 x 1012
b) 3.75 x 106
c) 7.5 x 1012
d) 7.5 x 106
To determine the average number of viewers over the two weeks, we need to calculate the total number of viewers and then divide by 2.
Total number of viewers = 4.4 x 106 + 3.1 x 106 = 7.5 x 106
Average number of viewers = Total number of viewers / 2 = 7.5 x 106 / 2 = 3.75 x 106
Therefore, the answer is b) 3.75 x 106.
To determine the average number of viewers over the two weeks, we need to calculate the total number of viewers over the two weeks and divide it by 2 (since we want the average).
Total number of viewers = First week viewers + Second week viewers
Total number of viewers = 4.4 x 10^6 + 3.1 x 10^6
Adding the values in scientific notation:
Total number of viewers = (4.4 + 3.1) x 10^6
Total number of viewers = 7.5 x 10^6
Dividing the total number of viewers by 2:
Average number of viewers = (7.5 x 10^6) / 2
Converting the answer to scientific notation:
Average number of viewers = 3.75 x 10^6
Therefore, the final answer in scientific notation is option b) 3.75 x 10^6.
To determine the average number of viewers over the two weeks, we need to add the number of viewers from the first week and the number of viewers from the second week, and then divide the sum by 2.
The number of viewers in the first week is given as 4.4 x 10^6 (4.4 multiplied by 10 raised to the power of 6).
The number of viewers in the second week is given as 3.1 x 10^6 (3.1 multiplied by 10 raised to the power of 6).
Adding these two numbers gives us:
(4.4 x 10^6) + (3.1 x 10^6) = 7.5 x 10^6
Since we want the average number of viewers, we need to divide this sum by 2:
(7.5 x 10^6) / 2 = 3.75 x 10^6
Therefore, the average number of viewers over the two weeks is 3.75 x 10^6.
The correct answer is b) 3.75 x 10^6.