The given geometric series as shown in the question is seen to; Be converging with its' sum as 81
<h3>How to identify a converging or diverging series?</h3>
We are given the geometric series;
27 + 18 + 12 + 8 + ...
Now, we see that;
First term; a₀ = 27
Second Term; a₁ = 2(27/3)
Third term; a₂ = 2²(27/3²)
Fourth term; a₃ = 2³(27/3³)
Thus, the formula is;
2ⁿ(27/3ⁿ)
Applying limits at infinity gives;
2^(∞) * (27/3^(∞)) = 0
Since the terms of the series tend to zero, we can affirm that the series converges.
The sum of an infinite converging series is:
S_n = a/(1 - r)
S_n = 27/(1 - (2/3)
S_n = 81
Read more about converging or diverging series at; brainly.com/question/15415793
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It is given that the mean is 79.1 inches and standard deviation is 3.0 inches so it follows:

So the value from 75 to 81 is given by:

Use the table or a software to get the probability values and substitute to get the probability value as:
The probability is 0.6509.
Answer:
2 is slope
Step-by-step explanation:
d = √(Δy2 + Δx2) = √(82 + 42) = √80 = 8.94427
Distance between x's (Δx) is 4
-2 is y-intercept
m = 8 / 4 = 2 / 1 = 2
Answer:
m = 2, (0,4)
Step-by-step explanation:
Slope is 2
Y intercept is 0,4
Answer:

Step-by-step explanation:
The formula of a distance between two points:

We have the points W(4, 6) and V(-3, -2). Substitute:
