answer:
x=78
since it's an isosceles triangle base angles are equal sum of all angles in traingle is 180 so
24+x+x=180
2x=156
x=78
hope.. this helped <3!!!
Answer:
(-1,2)
Step-by-step explanation:
The solutions to the system is where the lines intersect
The lines intersect at the point (-1,2)
33
a triangle is 180 degrees so 180-124-23=33
Answer:
B. 
Step-by-step explanation:
The given circle is centered at
and has radius 3 units.
The equation is given by

where (a,b) is the center and r is the radius.
We substitute the values to obtain;


Answer:
<u>Mean:</u> 810.51
<u>Standard deviation:</u> 128.32
Step-by-step explanation:
First, we calculate the sample mean. We have 35 data samples, so we compute it as
.
In general, given a set of <em>n </em>samples
, we calculate the sample mean as
.
For the standard deviation
, we first begin by calculating it's square. It can be obtained from the formula

By taking square root after computing the right hand side, we attain the desired value.
The attached image shows the dot diagram of this sample. The bottom pink vertical line shows the mean, and the two horizontal pink lines have a lenght of
.
The standard deviation means "The average expected distance a new sample will be from the mean". That's why usually, data samples which are denser around the mean have smaller standard deviations (as opposed to distributions who have a lot of values far away from the mean, which will make the standard deviation grow bigger).