Arm circumferences (cm) and heights (cm) are measured from randomly selected adult females. the 145 pairs of measurements yield x overbarequals32.78 cm, y overbarequals163.05 cm, requals0.058, p-valueequals0.488, and modifyingabove y with caretequals158plus0.1629x. find the best predicted value of modifyingabove y with caret (height) given an adult female with an arm circumference of 40.0 cm. let the predictor variable x be arm circumference and the response variable y be height. use a 0.05 significance level.

(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

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4

9987

step-by-step explanation: