Empirical rule can be used to estimate the number of values that lie with 1, 2 or 3 standard deviations of a Normally distributed population.
According to the empirical rule, 95% of the values lie within 2 standard deviations of the mean.
Total number of bulbs = n = 560
95% of n = 0.95 x 560 = 532
This means, 532 bulbs will lie within 2 standard deviations from the mean
4
<span> ∑ [100(−4)n−1]
n=1
Once again, since this is summation notation:
</span>Start at the number on the bottom. Plug in that number to the equation on the right, plug in the next number into the equation on the right, and so on, until you get to the number on top. Plug in that final number, and after you get the solution, add all the solutions you have all together.
<span>One thing though: <span>the bottom number cannot be bigger than the number on top.
</span></span>
n=1; 100 x (-4) x (1) - 1 = -401
n=2; 100 x (-4) x (2) - 1 = -801
n=3; 100 x (-4) x (3) - 1 = -12001
n=4; 100 x (-4) x (4) - 1 = - 16001
-401-801-12001-16001 = -29204
Are the angles congruent? If so the the answer is 133 degrees
Answer:
a(n) = 12 * (13)^(n-1)
Step-by-step explanation:
First step is to determine what's the scale/multiplication factor between each term:
156 / 12 = 13
2028 / 156 = 13
So, since we got 13 between 1st, 2nd and 3rd term, we can be confident it's the right multiplication factor.
an would be the first term (12) multiplied by a factor of 13. So,
If we try for n > 1, we have
a(2) = 12 * (13)^(2-1) = 12 * 13 = 156
a(3) = 12 * (13)^(3-1) = 12 * 13² = 12 * 169 = 2028
It matches!
Step-by-step explanation:
supplementary angles means sum of them is 180°
8x+4+6x+64 = 180
14x+68 = 180
x = 8
angles are 68 and 112