4.5, 5/2=2.5 7/2=3.5 so the answer is 4.5
Ln(xy) - 2x =0
slope of the tangent line = derivative of the function
[ln(xy)]' = [2x]'
[1/(xy)] [y + xy'] = 2
y + xy' = 2(xy)
xy' = 2xy - y =y(2x-1)
y' = y(2x-1)/x
Now use x = -1 to find y and after to find y'
ln(xy) = 2x
x=-1
ln(-y) =-2
-y = e^-2
y = - e^-2
y' = [-e^-2][2(-1)-1]/(-1) = [e^-2](-2-1)= [e^-2](-3) = - 3e^-2
Answer: option 6. from the list
11. The area of the circle is pi×r^2 so pi×6^2= 113.1cm^2 rounded to 1 d.p.
The area of the rectangle is 4×4=16cm^2
So to find out the area of the shaded region, do 113.1-16= 97.1cm^2
12. The area of a rectangle is l×w so 40×18=720cm^2
The area of the triangle is 1/2(l×w) so 1/2(9×12)=1/2(108)= 54cm^2
So to find out the area of the shaded region, do 720-54= 666cm^2
Answer:
e. two-sample z-test for two proportions
Step-by-step explanation:
He has two machines, which have a proportion of defective motherboards. He want to compare this two proportions.
He takes two samples, one for each machine, and calculate the proportion in order to statistically test if there are significant difference between the proportions.
Then, this is a two-sample z-test for two proportions