Answer:
The answer is 4r² – 9
Denise answer is correct.
Step-by-step explanation:
One of the methods of solving the given equation [(2r – 3)(2r + 3)] is the FOIL method
Using the FOIL method (Used for multiplying binomials)
F stands for first
O stands for outer
I stands for inner
L stands for last
In this method, it means we will first multiply the first terms followed by multiplying the outer term, then multiplying the inner terms and finally, the last terms.
So, for the equation (2r – 3)(2r + 3)
First : (2r)(2r) = 4r²
Outer : (2r)(+3) = 6r
Inner : (–3)(2r) = – 6r
Last : (–3)(+3) = – 9
Adding the results we get
4r² + 6r – 6r – 9 (+6r and – 6r cancels out)
= 4r² – 9
∴ (2r – 3)(2r + 3) = 4r² – 9
Hence, Denise answer is correct
Answer:
14 divided by 9 = 1.5
The result of 14/9 is a non-terminating, repeating decimal.
Answer:
C. Points L,J and K are collinear.
Step-by-step explanation:
Collinear points are points that lie on the same line. So in the picture only the points L,J and K are collinear.
The answer is 7234.56 inches cubed. The equation to find the volume of a sphere is 4/3*pi*r^3.
The equation would be 4/3 * 3.14 * 12^3.
4/3 * 3.14 * 1728
4/3 * 5425.92
7234.56
Average systolic blood pressure = x = 130
Standard deviation = s = 6
We are to find interval that represents the systolic blood pressure of middle 99.7% of the males.
According to the empirical rule:
a) 68% values lie within 1 standard deviation of the mean
b) 95% values lie within 2 standard deviation of the mean
c) 99.7% values lie within 3 standard deviation of the mean
So, 99.7% value will lie within 3 standard deviations from the mean.
We can express this range as:
( x - 3s, x + 3s)
= (130 - 3(6), 130 +3(6))
= ( 130 - 18, 130 + 18)
= ( 112, 148 )
Thus the interval from 112 to 148 contains the systolic blood pressure of middle 99.7% of the males in the certain town