This is a difference of perfect squares which is of the form:
(a^2-b^2)
And which always factors to:
(a-b)(a+b)
In this case:
(5x-8)(5x+8)
Answer:
∠ 4 = 130°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 4 is an exterior angle of the triangle , so
∠ 4 = ∠ 1 + ∠ 2 ( substitute values )
11x + 9 = 6x + 6 + 4x + 14 , that is
11x + 9 = 10x + 20 ( subtract 10x from both sides )
x + 9 = 20 ( subtract 9 from both sides )
x = 11
Then
∠ 4 = 11x + 9 = 11(11) + 9 = 121 + 9 = 130°
your friend may have only calculated ∠ 1
∠ 1 = 6x + 6 = 6(11) + 6 = 66 + 6 = 72°
Hi!
Yes, it is. When we have one inequality composed of two inequalities, we call this a double inequality.
A double inequality would look something like <em>-5 < 4x < 10.
</em>Hopefully, this helps! =)<em>
</em>
Answer:


Step-by-step explanation:
Notation
represent the sample mean
population mean (variable of interest)
s represent the sample standard deviation
n represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
For this case the 9% confidence interval is given by:

We can calculate the mean with the following:

And we can find the margin of error with:

The margin of error for this case is given by:

And we can solve for the standard error:

The critical value for 95% confidence using the normal standard distribution is approximately 1.96 and replacing we got:

Now for the 98% confidence interval the significance is
and
the critical value would be 2.326 and then the confidence interval would be:

