X + 9 = 2x - 3
<u>-x -x </u>
9 = x - 3
<u> +3 +3</u>
12 = x
The value of a data point that is -2 standard deviations from the mean
so, 40.6 to 65.4.
<h3>What is the empirical rule?</h3>
According to the empirical rule, also known as the 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two, or three standard deviations of the mean of the distribution.

From the empirical rule, we know that for 95% we are in 2 standard deviations of the mean. so:
= 53- 6.2- 6.2
= 40.6
The value of a data point that is -2 standard deviations from the mean
53 + 6.2 + 6.2
= 65.4
Learn more about the empirical rule here:
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Answer: Function g reflected function f across the x-axis.
For function g, as x approaches negative infinity, g(x) approaches negative infinity.
Function f is symmetrical about the point (4,6).
Answer:
Length = 10.435 inches
Step-by-step explanation:
Let the length be l
Let the width be w
Since the length is 9 inches more than half the width.
Then;
L = 0.5w + 9
Perimeter of a rectangle is;
P = 2Lw
Thus;
P = 2w(0.5w + 9)
Since perimeter = 60
Then;
2w(0.5w + 9) = 60
w² + 18w = 60
w² + 18w - 60 = 0
From quadratic formula;
w ≈ 2.87 in
L = 0.5(2.87) + 9
L = 10.435 in
The property that is applied in
is addition property of equality
Given :

From the above equation we can see that 4 is added at the both sides of the equation .
we can add same number at the both sides of the equation to balance the equation . That is called as addition property of equality
Here , 4 is added on both sides of the equality to balance the equation .
So , addition property of equality is applied .
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