Answer:
468
Step-by-step explanation:
If the first term of a geometric series and the common ratio are known, then the sum of the infinite series is
a
s = --------------
1 - r
In this particular case we have:
156
s = -------------- = 156/(1/3) = 468
1 - 2/3
Yes because it goes through the origin it is proportional
If the diameter of the smaller circle is 3.5cm, that means the radius is 1.75cm.The area of the smaller circle is π × 1.75², which is ≈ 9.62112750162.
The diameter of the larger circle is 12.5 cm, so the radius would be half that, which is 6.25cm. The area of the larger circle would be π × 6.25², which is ≈ 122.718463031.
So now that we know the area of the larger circle and the smaller circle, we can find the area of the shaded region by subtracting the area of the smaller circle from the area of the larger circle, which is basically just 122.718463031 - 9.62112750162, which is = 113.097336. The closest answer here is 113.04, hence the answer is 113.04cm².
For this case we have a function of the form , where . We must find the values of "and" according to the following function:
So:
Thus, the values are:
24,8, -12
Answer:
24,8, -12
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