Answer:
5, 8, 9, 4, 1, x equal to 5 is x = 3.
Explanation:
To find the value of x in the sequence 5, 8, 9, 4, 1, x, such that the mean (average) is 5, you can use the formula for the mean:
Mean = (Sum of all values) / (Number of values)
In this case, you have 6 values, and the mean is given as 5. So, you can set up the equation like this:
5 = (5 + 8 + 9 + 4 + 1 + x) / 6
Now, you want to solve for x. To do that, first, multiply both sides of the equation by 6 to isolate the sum on the right side:
5 * 6 = 5 + 8 + 9 + 4 + 1 + x
30 = 27 + x
Now, subtract 27 from both sides to find the value of x:
30 - 27 = x
x = 3
So, the value of x that makes the mean of the sequence 5, 8, 9, 4, 1, x equal to 5 is x = 3.