Equation 1 :
| 5x - 6 | = -41.....no solution because an absolute vlue cannot equal a negative number
equation 2 :
| 7x + 13 | = 27...2 solutions
C. equation 2 has more solutions then equation 1.
Answer:
x-4/x-2
Step-by-step explanation:
its a fraction it would be x-4 over x-2
The answer is: " 60° " .
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" m∠A = 60° " .
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Explanation:
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Note: All triangles, by definition, have 3 (three) sides and 3 (three angles).
The triangle shown (in the "image attached") has three EQUAL side lengths. Therefore, the triangle shown is an "equilateral triangle" and has 3 (three) equal angles, as well.
All triangles by, definition, have 3 (three) angles that add up to "180° " .
Since each of the 3 (three) angles is equal; and the three angles are:
"∠A" , "∠B" , and "∠C" ;
We can find the measure of "∠A" ; denoted as: "m∠A" ; as follows:
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m∠A = 180° ÷ 3 = 60° .
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The answer is: " 60° " .
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m∠A = " 60° " .
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Answer:
The taxi drivers average profit per trip is $9.50.
Step-by-step explanation:
The taxi driver provides services in Zone A and Zone B.
Let
= destination is in Zone A and
= destination is in Zone B.
<u>Given:</u>
The probabilities are:
![P(D_{A}|A)=0.65\\P(D_{B}|A)=0.35\\P(D_{A}|B)=0.45\\P(D_{B}|B)=0.55](https://tex.z-dn.net/?f=P%28D_%7BA%7D%7CA%29%3D0.65%5C%5CP%28D_%7BB%7D%7CA%29%3D0.35%5C%5CP%28D_%7BA%7D%7CB%29%3D0.45%5C%5CP%28D_%7BB%7D%7CB%29%3D0.55)
The Expected profit are:
If the trip is entirely in Zone A the expected profit is, E (A - A) = $7.
If the trip is entirely in Zone B the expected profit is, E (B - B) = $8.
If the trip involves both the zones the expected profit is,
E (A - B) = E (B - A) = $12.
Determine the expected profit earned in Zone A as follows:
![E(Profit\ in\ A)=E(A-A)\times P(D_{A}|A)+E(A-B)\times P(D_{A}|B)\\=(7\times 0.65)+(12\times0.35)\\=8.75](https://tex.z-dn.net/?f=E%28Profit%5C%20in%5C%20A%29%3DE%28A-A%29%5Ctimes%20P%28D_%7BA%7D%7CA%29%2BE%28A-B%29%5Ctimes%20P%28D_%7BA%7D%7CB%29%5C%5C%3D%287%5Ctimes%200.65%29%2B%2812%5Ctimes0.35%29%5C%5C%3D8.75)
Determine the expected profit earned in Zone B as follows:
![E(Profit\ in\ B)=E(B-B)\times P(D_{B}|B)+E(B-A)\times P(D_{B}|A)\\=(8\times 0.45)+(12\times0.55)\\=10.20](https://tex.z-dn.net/?f=E%28Profit%5C%20in%5C%20B%29%3DE%28B-B%29%5Ctimes%20P%28D_%7BB%7D%7CB%29%2BE%28B-A%29%5Ctimes%20P%28D_%7BB%7D%7CA%29%5C%5C%3D%288%5Ctimes%200.45%29%2B%2812%5Ctimes0.55%29%5C%5C%3D10.20)
The total expected profit is:
![E (Profit)=E(Profit\ in\ A)\times P(Zone A) + E(Profit\ in\ B)\times P(Zone B)\\=(8.75\times0.50)+(10.20\times 0.50)\\=9.475\\\approx9.50](https://tex.z-dn.net/?f=E%20%28Profit%29%3DE%28Profit%5C%20in%5C%20A%29%5Ctimes%20P%28Zone%20A%29%20%2B%20E%28Profit%5C%20in%5C%20B%29%5Ctimes%20P%28Zone%20B%29%5C%5C%3D%288.75%5Ctimes0.50%29%2B%2810.20%5Ctimes%200.50%29%5C%5C%3D9.475%5C%5C%5Capprox9.50)
Thus, the taxi drivers average profit per trip is $9.50.