Supercavitation is a propulsion technology for undersea vehicles that can greatly increase their speed. it occurs above approximately 50 meters per second, when the press drops off sufficiently to allow the water to dissociate into water vapor forming a gas bubble behind the vehicle. when the gas bubble completely encloses the vehicle, supercavitation is said to occur. eight (n = 8) tests were conducted on a scale model of an undersea vehicle in a towing basin with the average observed speed \bar{x}=102.2 meters per second. assume that speed is normally distributed with\sigma =4 meters per second. use α =0.05

compute the power of this test if the true mean speed is low as 95 meters per second. round your answer to four decimal places (e. g. 98.7654).

1: -2 3/4, -2 1/2, -14, 0, 3, 8 1/3

2: -4, -3, -2 1/2, -2 1/4, 3 1/4,

step-by-step explanation:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

answer: on kudzu, being female and being green are independent events.

step-by-step explanation:

the answer is 62.8 cubic units