<u> 12x³ - 12x </u><u /> = 3/7 - 1/56x² - 3/7 = 3/7 - 3/7 - 1/56x² = -1/56x²
28x³ - 56x² + 28x
Answer: The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable. ... The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable.
Step-by-step explanation:
Answer:
C. 
Step-by-step explanation:
We proceed to solve for
by the Pythagorean Theorem:
(1)





There are two different solutions:
, 
A solution of
is considered realistic when the length of every side of the triangle is a not negative number.














The only realistic set of solutions is for
, and the radius of the circle is represented by the line segment
: 
And the area of the circle (
) is calculated from the following formula:



The correct answer is C.
The discriminate formula is b^2+4ac so -5^2+4(1)(6)=49
Answer: p = 0.73
Step-by-step explanation:
Given that,
73% of the audience was under 20 years old :
so, probability (p) = 0.73
n = 146
Mean of the distribution of sample proportion = ?
According to central limit theorem,
np(1-p) ≥ 10
146 × 0.73(0.27) ≥ 10
28.77 ≥ 10
∴ Central limit theorem assumes that the sample distribution of the sample proportion is normally distributed.
Hence, the mean of the distribution of sample proportion:
μ = p = 0.73