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| Match the equations listed in parts (a)–(d) to the graphs in the accompanying figure. |
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- Solve for X,Y and Z: 3x + y − z = 11x + 3y = z + 13x + y − 3z = 11If Cov(X,Y) = 270, then what is Cov(16X, 3Y)? If Cov(X,Y) = 13, then what is Cov(.50X, 100Y)? If Cov(X,Y) = 404, then what is Cov(12X,19Y)? If Cov(X,Y) = 639, then what is Cov(19X,10Y)? Suppose Cov(X,Y) = 43. What is Cov(0.23X, 0.33Y)? Suppose Cov(X,Y) = 872. What is Cov(0.99X, 0.86Y)? If Cov(X,Y) = 808, then what is Cov(10X,4Y)? If Cov(X,Y) = 100, then what is Cov(2X, 10Y)? If Cov(X,Y) = 830, then what is Cov(10X, 1Y)? If Cov(X,Y) = 450, then what is Cov(1X,10Y)?Solve x,y,z if Consistent
- Solve for fx(-9, 9) and fy(-9, 9). f(x, y) = 5x2 + 8xy + 4y2 + 6x − 9y; (−9, 9)You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape through a door located on the western wall. Guard 1 is located in a tower at the northeast corner of the yard and Guard 2 is located in the yard, in the southwest corner, as shown in the figure below. Guard 1 can hear you if anything more than 1/36 of the footstep sound energy reaches them; similarly Guard 2 can hear you if anything more than 1/16 of the footstep sound energy reaches them (Guard 1 can hear more due to his elevated height in the tower). Assume for now that both guards are fixed at these locations and cannot move unless they detect you. Based on this information, answer the following questions. 1. determine if it exists, the safe distance between the two hearing zones of the guards for you to pass through undetected? (Hint: use Pythagorean Theorem or distance formula) Distance between two red dots is:________________ . (5 pts) We know that the radius of the hearing zones are:…You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape through a door located on the western wall. Guard 1 is located in a tower at the northeast corner of the yard and Guard 2 is located in the yard, in the southwest corner, as shown in the figure below. Guard 1 can hear you if anything more than 1/36 of the footstep sound energy reaches them; similarly Guard 2 can hear you if anything more than 1/16 of the footstep sound energy reaches them (Guard 1 can hear more due to his elevated height in the tower). Assume for now that both guards are fixed at these locations and cannot move unless they detect you. Now assume that Guard 2 is on patrol. He walks a straight patrol route up and down along the dotted line always remaining 3 m from the western wall. Determine the new maximum safe distance between the two hearing zones of the guards for you to pass undetected? (Hint: use Pythagorean Theorem or distance formula) Where is the Guard 2 located for…
- You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape through a door located on the western wall. Guard 1 is located in a tower at the northeast corner of the yard and Guard 2 is located in the yard, in the southwest corner, as shown in the figure below. Guard 1 can hear you if anything more than 1/36 of the footstep sound energy reaches them; similarly Guard 2 can hear you if anything more than 1/16 of the footstep sound energy reaches them (Guard 1 can hear more due to his elevated height in the tower). Assume for now that both guards are fixed at these locations and cannot move unless they detect you. Now assume that Guard 2 is on patrol. He walks a straight patrol route up and down along the dotted line always remaining 3 m from the western wall. Determine the new maximum safe distance between the two hearing zones of the guards for you to pass undetected? (Hint: use Pythagorean Theorem or distance formula) Where is the Guard 2 located for…7x-4y-3z = 21 -4x+7y-z = 0 -3x-y+5z = 0 x, y, z?Solve for X, Y and Z: 5x − 4y +3z = − 4− 10x + 8y − 6z =8 15x − 12y +9z = − 12
- (1,6) and perpendicular to 2x+7y=1Find the number of solutions to 6z1+9z2+20z3=150 where the zi are nonnegative integers.An allergy pill contains 180 mg of medicine. 10% of the medicine is eliminated from the patient's body every hour. To be effective, 70 mg of the medicine needs to be in the patient's body. If the patient takes one pill at 8 am, should they still be allergy-free at 5 pm?