Answer:
16.9 units
Step-by-step explanation:
Sometimes the easiest way to work these problems is to get a little help from technology. The GeoGebra program/app can tell you the length of a "polyline", but it takes an extra segment to complete the perimeter. It shows the perimeter to be ...
14.87 + 2 = 16.87 ≈ 16.9 . . . units
_____
The distance formula can be used to find the lengths of individual segments. It tells you ...
d = √((Δx)² +(Δy)²)
where Δx and Δy are the differences between x- and y-coordinates of the segment end points.
If the segments are labeled A, B, C, D, E in order, the distances are ...
AB = √(5²+1²) = √26 ≈ 5.099
BC = √(1²+3²) = √10 ≈ 3.162
CD = Δx = 3
DE = √(3²+2²) = √13 ≈ 3.606
EA = Δy = 2
Then the perimeter is ...
P = AB +BC +CD +DE +EA = 5.099 +3.162 +3 +3.606 +2 = 16.867
P ≈ 16.9
The probability that a randomly selected cable repair visit will take at least 43 minutes will be 88%.
Given: The times required for a cable company to fix cable problems in its customers' homes are uniformly distributed between 40 minutes and 65 minutes.
It can be deduced that the probability that a randomly selected cable repair visit will take at least 43 minutes will be calculated thus:
= 1 - [(43 - 40)/(65 - 40)
= 1 - 0.12
= 0.88
Hence, The probability that a randomly selected cable repair visit will take at least 43 minutes will be 88%.
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1,534 divided by 26 equals 59
Hope this helps !!!
Answer:
0 is an inflection point
1/4 is a local maximum.
Step-by-step explanation:
To begin with you find the first derivative of the function and get that

to find the critical points you equal the first derivative to 0 and get that

To find if they are maximums or local minimums you use the second derivative.

since
is neither an inflection point, and since
then 1/4 is a maximum.