a. The point estimate for the population mean is b. The confidence interval at 80% is c. This means there is an 80% probability that the true mean of the population lies within the given confidence interval.
The maximum area that can be enclosed is 64 ft². To achieve the largest area while minimizing the perimeter, the dimensions should be as equal as possible. Allocating 32 feet of fencing for four sides gives us 8 feet per side, resulting in a square with a side length of 8; thus, the area equals 8*8 = 64.
Answer:
Two thirds of a straight angle is 120°
Explanation:
First, we define a straight angle:
A straight angle measures 180°
Now, we need to find two thirds of that straight angle
To compute the fraction, multiply the straight angle's measurement by 
Thus:
of a straight angle =
degrees
Hope this helps:)
Clarification:
To accomplish the next steps, we simply need to determine the factors of each quadratic expression:
Factors of
:
To identify factors, we must find two numbers whose product equals 4, with a difference of 3 (the difference is crucial since both resulting factors carry opposing signs). Those numbers are 4 and 1.
So, 
The initial factor

is negative reflecting the sign of the quadratic expression's second term which is negative. The subsequent factor

is positive due to the product from the second term sign (-) and the third term sign (+).
Next, we repeat this process with
:

Finally, we substitute each factor pair with its corresponding quadratic expression as illustrated:

We can see that the Least Common Denominator is
, which incidentally turns out to be the sole common factor.