On a quiz worth 5 points, four students earned a 5, seven students earned a 4, six students earned a 3, two students earned a 2,
1 answer:
Answer:
The average score is 3.5.
Step-by-step explanation:
The average of a data set is the middle value or the most typical value of the set. It computed by dividing the sum of observations by the number of observations.
The sample space of the scores are:
S = {5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 0}
Total number of students = 4 +7 + 6 + 2 + 1 = 20.
The average score is:
Thus, the average score is 3.5.
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Answer:
Step-by-step explanation:
x = measure of the first angle
y = measure of the second angle
z = measure of the third angle
The sum of the measures of the second and third (y+z) is five times the measure of the first angle (=5x)
The third angle is 14 more than the second
And remember that the sum of these three angles must be equal to 180.
Let's take these equations
If you take a look at the first equation, we have y+z = 5x and we have y+z in the third equation as well, we can replace that....
Distribute the + sign
Combine like terms;
Divide by 6.
We have now defined that the measure of the first angle is 30º.
Let's take another equation... for example
I'm going to take this one because if I replace x and z in the third equation, all I'll have left will be y.
Distribute the + sign and Combine like terms;
Subtract 44 to isolate 2y.
Now divide by 2.
We already have the value of x and y. Once again, replacing this in the third equation will leave us with z to solve for.