Answer:
18
Step-by-step explanation:
1/3 of 27 is 9 so 2/3 is 18
You can use the similarity approach of these two triangles CBD and CAE
as a result:

so:
? = 6x^2 / 10 = 0.6 x^2
and the fact of:
"The
segment connecting the midpoints of two sides of a triangle is parallel to the
third side and equals its half length"
so:BD = 0.5 AE 10 = 0.5 * 2x >>> x= 10
Back to:
? =0.6 x^2 = 0.6 * 10^2 = 0.6 * 100 = 60
AHope that helps
<h3><u>MEAN</u></h3>
Mean is the average. To find the mean of a data set, you have to add all the numbers and divide the sum by the amount of numbers you added.
<em>In this equation, you have 8 numbers. That means you will be dividing by 8. </em>
The first thing you need to do is add all the numbers. Add:

Now that you have added all the numbers and got the sum, divide by 8. Remember that you will be dividing by 8 since you added 8 numbers.
Divide:

The mean is 66
<em>If you have any questions, feel free to ask in the comments! :)</em>
Answer:
f(t)=4cos(t), â3Ï/2â¤tâ¤3Ï/2
Step-by-step explanation:
Every confidence interval has associated z value. As confidence interval increases so do the z value associated with it.
The confidence interval can be calculated using following formula:

Where

is the mean value, z is the associated z value, s is the standard deviation and n is the number of samples.
We know that standard deviation is simply a square root of variance:

The confidence interval of 95% has associated z value of <span>1.960.
</span>Now we can calculate the confidence interval for our income: