The life expectancy (in hours) of an electric bulb is normally distributed with a mean of 5000 and a standard deviation of 1000.
1 answer:
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Answer:
Option C
Step-by-step explanation:
Since, measure of all sides of the triangle has been given in the picture,
By applying cosine rule in the given triangle,
AC² = AB² + BC² - 2(AB)(BC)cos(B)
11² = 16² + 16² - 2(16)(16)cos(B)
121 = 256 + 256 - 512.cos(B)
121 - 512 = - 512.cos(B)
cos(B) = = 0.763672
B =
B = 40.2°
Therefore, measure of angle B is 40.2°.
Option C is the answer.
Answer:
Your sum = - 1
S = ( (-2)^n - 1), If you let n = z, then S = (-2)^z - 1
Step-by-step explanation:
I can use a formula to find the sum of the first n terms.
we have -3, 6, -12, 24, ... etc.
common ratio = r = -2
first term = -3
a_1 = -3
Then: a_n = a_1 * r ^(n -1)
a_n = (-3) * (-2)^(n - 1) is the general formula for the nth term
Sum of first n terms = S = a_1 * (r^n - 1) / (r - 1)
so...
S = (-3) * ((-2)^n - 1 )/ (-2 - 1)
which simplifies to
S = (-3) *((-2)^n - 1) / (-3)
S = ( (-2)^n - 1)
If you let n = z, then S = (-2)^z - 1