⦁ Find the sum of the series . 15 sigma n=1, (2n-1) Show your work
1 answer:
Answer:
225
Step-by-step explanation:
The sum of this series is given by the formula:
Where
S_n is the sum
a is the first term (we get this by plugging in n = 1 into "2n-1", we have 2(1) - 1 = 1)
n is the number of terms (the sum is defined for n = 1 to n = 15, so 15 terms)
d is the common different (the difference is successive terms. Here, 2nd term would be 2(2) - 1 = 3, and first term was 1, so d = 3 -1 = 2)
<em>plugging in the info, we will get the sum:</em>
<em></em>
<em>The sum is 225</em>
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Answer:
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Step-by-step explanation:
If X N (µ, σ²), then
, is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z
N (0, 1).
The distribution of these z-variate is known as the standard normal distribution.
Given:
µ = $2,000
σ = $100
<em>x</em> = $2,100
Compute the <em>z</em>-score for the raw score <em>x</em> = 2100 as follows:
Thus, the z-score for an income of $2,100 is 1.
Answer:
RS ≈ 5.83 units
Step-by-step explanation:
Calculate RS using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = R(- 3, 1) and (x₂, y₂ ) = S(2, 4)
RS =
=
=
= ≈ 5.83 ( to 3 significant figures )