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The solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.
<h3>What is a quadratic equation?</h3>Any equation of the form where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
We have an equation:
x(x + 4) = 6
By distributive property:
x² + 4x = 6
x² + 4x - 6 = 0
a = 1, b = 4, c = -6
Plugging all the values in the formula:
After calculating:
Thus, the solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.
Learn more about quadratic equations here:
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Answer: (141.1, 156.48)
Step-by-step explanation:
Given sample statistics :
a) We know that the best point estimate of the population mean is the sample mean.
Therefore, the best point estimate of the mean weight of all women =
b) The confidence interval for the population mean is given by :-
, where E is the margin of error.
Formula for Margin of error :-
Given : Significance level :
Critical value :
Margin of error :
Now, the 90% confidence interval for the population mean will be :-
Hence, the 90% confidence interval estimate of the mean weight of all women= (141.1, 156.48)