A=84 and r=1/5
Since r, the common ratio squared is less than one, the sum will converge to a limit. Rule: if r^2<1 infinite series converges, otherwise it diverges.
Since the sum of any geometric sequence is:
s(n)=a(1-r^n)/(1-r)
And if r^2<1, (1-r^n) becomes 1-0=1 as n approaches infinity.
So whenever r^2<1 the sum of the infinite series is just:
s(n)=a/(1-r)
Since a=84 and r=1/5 this infinite series has a sum of:
s(n)=84/(1-1/5)
s(n)=84/(4/5)
s(n)=5(84)/4
s(n)=105
-3. Put the two equation equal to each other and solve.
4x+18=2x+12
-2x=-2x
2x+18=12
-18=-18
2x=-6
2x/2=-6/2
x=-3
Answer: 325mm
Step-by-step explanation:
To calculate shapes like this, you need to find the area of each of the shapes and add them.
The bigger square is 15 * 15 = 225
The smaller square is 10 * 10 = 100
Then add them: 225 + 100 = 325
<h3>Answer:</h3>
When creating a confidence interval, higher confidence corresponds to a <u> larger </u> interval, and lower confidence corresponds to a <u> smaller </u> interval.
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Explanation:
Imagine you are going fishing for an elusive sea creature of some kind. Casting a very wide net means we are more confident in catching the creature, in comparison to using a smaller net.
The fishing net is analogous to the width of the confidence interval. The wider the confidence interval, the more confident that we're capturing the parameter we're trying to measure.
