Answer:
3.2
Step-by-step explanation:
x² + xy = 20
Take the derivative with respect to time:
2x dx/dt + x dy/dt + y dx/dt = 20
(2x + y) dx/dt + x dy/dt = 20
Given x = -5, y = 1, and dx/dt = -4:
(2(-5) + 1) (-4) + (-5) dy/dt = 20
(-10 + 1) (-4) − 5 dy/dt = 20
36 − 5 dy/dt = 20
5 dy/dt = 16
dy/dt = 3.2
Using the Pythagorean theorem we get:

Simplifying the above result we get:

Subtracting 64 from the above equation we get:

Therefore:

Answer:
Let the coordinates of R (x,y)GivenA(1,2) B(2,3)and ARRB=43⇒(x,y)=(4(2)+3(1)4+3,4(3)+3(2)4+3)⇒(x,y)=(117,187)So,the coordintes of R(117,187)
Answer:
There is an association because the relative frequencies by row are different.
Step-by-step explanation:
The relative frequencies by row are:
90 perfect t-shirts out of 90+6=96 t-shirts is:
90/96 = 0.9375
6 flawed t-shirts out of 96 t-shirts is:
6/96 = 0.0625
40 perfect sweatshirts out of 40+10=50 sweatshirts is:
40/50 = 0.8
10 flawed sweatshirts out of 50 sweatshirts is:
10/50 = 0.2
The relative frequencies by row are different; this means there is an association.