Answer:
B
Step-by-step explanation:
The y-intercept is 2 and the slope is 1. Therefore, the answer is 2y=x. :)
Answer:
AB = 9
Step-by-step explanation:
The perpendicular bisector divides Δ ABC into 2 congruent triangles, that is
Δ ABD ≅ Δ ACD , then
AB = AC = 9
Answer:
$16.25
Step-by-step explanation:
Half a gallon for $2.50 is the same as a quarter a gallon for $1.25.
If she needs 3.25 gallons, which is 13 quarters, we do $1.25 * 13 = $16.25.
Therefore, she will spend $16.25.
Answer:
Check the explanation
Step-by-step explanation:
Since each and every one of the 4 hallways is equally likely then
![P(H1)=1/4P(H2)=1/2P(H3)=1/4](https://tex.z-dn.net/?f=P%28H1%29%3D1%2F4P%28H2%29%3D1%2F2P%28H3%29%3D1%2F4)
Now, if he chooses H1 he escapes after 12 minutes then
![E(T|H1)=12](https://tex.z-dn.net/?f=E%28T%7CH1%29%3D12)
If he chooses H2 then he wastes 10 minutes and then he is again in the same starting
position so he expects to escape in E(T) minutes, then
![E(T|H2)=10+E(T)](https://tex.z-dn.net/?f=E%28T%7CH2%29%3D10%2BE%28T%29)
Analogously, if he chooses H3 then he wastes 40 minutes and then he is again in the same starting
position so he expects to escape in E(T) minutes, then
![E(T|H3)=40+E(T)](https://tex.z-dn.net/?f=E%28T%7CH3%29%3D40%2BE%28T%29)
Therefore
![E(T) = E(T|H1)P(H1) + E(T|H2)P(H2) + E(T H3)P(H3) = (12) + (E(T) +10) + (E(T) + 40) = 3+ *E(T)+5+ 10 = E(T) +18 CON A'](https://tex.z-dn.net/?f=E%28T%29%20%3D%20E%28T%7CH1%29P%28H1%29%20%2B%20E%28T%7CH2%29P%28H2%29%20%2B%20E%28T%20H3%29P%28H3%29%20%3D%20%2812%29%20%2B%20%28E%28T%29%20%2B10%29%20%2B%20%28E%28T%29%20%2B%2040%29%20%3D%203%2B%20%2AE%28T%29%2B5%2B%2010%20%3D%20E%28T%29%20%2B18%20CON%20A%27)
So we have
![E(T) = E(T) + 18 E(T) = 18 E(T) = 4(18) = 72](https://tex.z-dn.net/?f=E%28T%29%20%3D%20E%28T%29%20%2B%2018%20E%28T%29%20%3D%2018%20E%28T%29%20%3D%204%2818%29%20%3D%2072)
Therefore he is expected to escape in 72 minutes