Sum of n terms of a geometric series is
Sn = a1 (r^n-1)/(r-1)
a1 = 1st term = 4
r = common ratio = 12/4 = 3
so, the sum is
Sn = 4 (3^n-1)/(3-1) = 2(3^n-1)
Answer:
m<C = 56°
m<D = 124°
Step-by-step explanation:
Of CDEF is a parallelogram then the sum of angle m<C and angle m<D must be equal to 180°
4x + 28 + 17x + 5 = 180 add like terms
21x + 33 = 180 subtract 33 from both sides
21x = 147 divide both sides by 21
x = 7 now to find the measure of each angle replace x with 7
8x-2y=12
-2y=-8x+12
y=4x-6
y=4(0)-6
y=-6
(0,-6)
Answer: The formula for exponential growth is y = a(1 + r)^x, and the formula for exponential decay is y = a(1 - r)^x, with r being the rate of growth/decay. :)
Answer: Answer:
There is moderate level of overlap between the two data sets.
Step-by-step explanation:
Overlap of data sets.
Overlap measures the degree of duplication that exists within data sets.
It is an indicator of the degree to which data are identical.
We are given two data sets in the question.
We have to find the amount of overlap in data set 1 and in data set 2.
There are 8 data points in data set 1 as shown in the image.
There are 8 data points in the data set 2 as shown in the image.
Out of the 8 data points for both data set 1 and data set 2, 5 data points overlap each other on 6, 7, 8 and 9.
Thus, we could say there is moderate level of overlap between the two data sets.
