Answer:
f(x) = 8x⁴-8x²+1
Step-by-step explanation:
I will assume that f(cos θ) = cos(4θ). Otherwise, f would not be a polynomial. lets divide cos(4θ) in an expression depending on cos(θ). We use this properties
- cos(2a) = cos²(a) - sin²(b)
- sin(2a) = 2sin(a)cos(a)
- sin²(a) = 1-cos²(a)
cos(4θ) = cos(2 * (2θ) ) = cos²(2θ) - sin²(2θ) = [ cos²(θ)-sin²(θ) ]² - [2cos(θ)sin(θ)]² = [cos²(θ) - ( 1 - cos²(θ) ) ]² - 4cos²(θ)sin²(θ) = [2cos²(θ)-1]² - 4cos²(θ) (1 - cos²(θ) ) = 4 cos⁴(θ) - 4 cos²(θ) + 1 - 4 cos²(θ) + 4 cos⁴(θ) = 8cos⁴(θ) - 8 cos²(θ) + 1
Thus f(cos(θ)) = 8 cos⁴(θ) - 8 cos²(θ) + 1, and, as a result
f(x) = 8x⁴-8x²+1.
Answer:
65
Step-by-step explanation:
Answer:
The correct value of the Z-statistic is z = -1.56
Step-by-step explanation:
A company manufacturing computer chips finds that 8% of all chips manufactured are defective.
This means that the null hypothesis is:

A hypothesis test is performed to determine if the additional training was effective in lowering the defect rate.
This means that the alternate hypothesis is:

z-statistic:

In which X is the sample mean,
is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
0.08 is tested at the null hypothesis:
This means that 
After training was implemented, a sample of 450 chips revealed only 27 defects.
This means that 
The correct value of the Z-statistic is



Well, i know that a non linear function always has a number power greater than 1, and a linear function only has a number power 1 or less.
Hope this helps
Answer:
The measured from a left-hand turn on the oak road must be 103 degrees
Step-by-step explanation:
Let
x ----> measured in degrees from a left-hand turn on the oak road
y ----> measured in degrees from a right-hand turn on the oak road
we know that
----> by supplementary angles (form a linear pair)
we have
---> given problem
substitute

solve for 

therefore
The measured from a left-hand turn on the oak road must be 103 degrees