<u>We are Given:</u>
∠1 = 65°
<h3><u>
Finding the measure of all other angles with proof:</u></h3>
<u>∠2:</u>
∠1 + ∠2 = 180° <em>(angle 1 and 2 form a Linear Pair)</em>
65 + ∠2 = 180 <em>(Angle 1 = 65°)</em>
∠2 = 180 - 65
∠2 = 115°
<u>∠3:</u>
∠1 = ∠3 <em>(Angle 1 and 3 are vertically opposite)</em>
65 = ∠3 <em>(Angle 1 = 65°)</em>
<em>∠3 = 65°</em>
<em />
<u><em>∠4:</em></u>
∠4 = ∠2 <em>(Vertically opposite angles)</em>
∠4 = 115° <em>(∠2 = 115°)</em>
<u><em /></u>
<u>∠5:</u>
∠5 = ∠1 <em>(Corresponding angles)</em>
∠5 = 65° <em>(∠1 = 65°)</em>
<u><em /></u>
<u>∠6:</u>
∠6 = ∠2 <em>(Corresponding angles)</em>
∠6 = 115° <em>(∠2 = 115°)</em>
<em />
<u>∠7:</u>
∠7 = ∠3 <em>(Corresponding Angles)</em>
∠7 = 65° <em>(∠3 = 65°)</em>
<em />
<u>∠8:</u>
∠8 = ∠4 <em>(Corresponding angles)</em>
∠8 = 115° <em>(∠4 = 115°)</em>
Answer:
a.The classification error rate for records that are truly fraudulent: By increasing the cutoff value, the non-fraudulent records will go down and this increases the error rate.
Also, if the cutoff value is down, the fraudulent records will increase and this lowers the error rate
.b.The classification error rate for records that are truly non-fraudulent: By moving up the cutoff value, the fraudulent records will go down and this decreases the error rate.
Also, if the cutoff value is down, the non-fraudulent records will go down and this increases the error rate.
Answer:
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Step-by-step explanation:
Answer:
x = 1091.63315843
<span>
Setting Up:
7 = ln ( x + 5 )
ln translates to "log" with an "e" as the base or subscript ( a small "e" at the bottom right of the "g" in log).
You take the base of the log and put it to the power of "7" ( "7" is the natural log of ( x + 5 ) in this problem ).
The value of which the logarithm is calculated is set equal to the base of the logarithm to the power of the calculated logarithm of the value.
e^7 = x + 5
Solving</span>:
e = 2.71828182846
Natural logarithms are logarithms to the base of the constant 'e'.
e^7 = x + 5 ( simplify e^7 )
<span>1096.63315843 = x + 5
</span>
Subtract 5 from each side.
1091.63315843 = x