for the 514 hours after 7 p.m. the answer to that is 5 a.m.
Answer:
x = 6
Step-by-step explanation:
180° is always all triangles.
This is a right triangle, so that means that the angle that is unknown is 90.
Angles:
90
60
7x - 12
90 + 60 + 7x - 12 = 180
150 - 12 + 7x = 180
138 + 7x = 180
7x = 180 - 138
7x = 42
7x/7 = 42/7
x = 6
The second choice is not a relation.
The first and third choices have multiple (input, output) pairs that have the same input. Such a relation is not a function. Any time you see this, you know the relation is NOT a function.
The best answer is the 4th choice ...
... {(0, -9), (-9, 0), (-3, -3)}
Just multiply by 0.15 to get the tip amount and add to your original number. This gives you 32.43
Variance is the average of the square of the differences of each data with the mean. To calculate for the variance, we first calculate for the mean. Then, we subtract each data with the mean. Next, each difference would be squared and added. The resulting value would be divided on how many data are used. We calculate as follows:
Mean = <span>9 + 7 + 6.5 </span>+ 7.5 + 7 + 8 + 5 + 6 + 7.5 + 8 / 10
Mean = 6.4
Squared of the sum of the differences = (9-6.4)^2 + (7-6.4)^2 + (6.5-6.4)^2 + (7.5-6.4)^2 + (7-6.4)^2 + (8-6.4)^2 + (5-6.4)^2 + (6-6.4)^2 + (7.5-6.4)^2 + (8-6.4)^2 = 17.15
Variance = 17.15 / 10 = 1.715