After six biology tests, Ruben has a mean score of 73. What score does Ruben need on the next test to raise his average (mean) to 75?
To find out what score Ruben needs on the next test to raise his average to 75, we can use the formula for mean:
Mean = Sum of scores / Number of scores
Let's say Ruben's score on the next test is x. We need to find the value of x that will give us a mean of 75.
Now, let's set up the equation:
(73 * 6 + x) / 7 = 75
To solve for x, we can start by multiplying both sides of the equation by 7 to get rid of the denominator:
73 * 6 + x = 7 * 75
Now, let's simplify:
438 + x = 525
Next, we can subtract 438 from both sides to isolate the variable x:
x = 525 - 438
x = 87
Therefore, Ruben needs to score 87 on the next test to raise his average to 75.
To find out the score Ruben needs on the next test to raise his average to 75, we need to use the concept of mean or average.
The mean score for Ruben after six biology tests is given as 73. Let's assume the score Ruben needs on the next test to raise his average to 75 is x.
To find the mean score after the seventh test, we need to consider all seven test scores:
(6 * 73 + x) / 7 = 75
Here, 6 * 73 represents the sum of the scores Ruben has achieved so far, and dividing by 7 gives us the mean or average score of 75.
Now, let's solve the equation to find the value of x, which represents the score needed on the next test:
(6 * 73 + x) / 7 = 75
(438 + x) / 7 = 75
438 + x = 7 * 75
438 + x = 525
x = 525 - 438
x = 87
Therefore, Ruben needs to score 87 on the next test to raise his average to 75.
let that score be x
solve for x
(6(73) + x)/7 = 75
73x6=438
(438+X)/7=75
438X=75
X=87