Answer: Correct critical value = 2.2622
Step-by-step explanation:
Confidence interval for population mean when population standard deviation is unknown:
, where
= sample mean, n= sample size, s= sample standard deviation,
= two-tailed t value.
As per given: n= 10
degree of freedom : df = n-1=9

Critical t-value : 
So, the 95 percent confidence interval estimate for the mean :

The 95 percent confidence interval estimate for the mean:(190.14, 295.06)
Answer:
Types of polygon
Polygons can be regular or irregular. If the angles are all equal and all the sides are equal length it is a regular polygon.
Regular and irregular polygons
Interior angles of polygons
To find the sum of interior angles in a polygon divide the polygon into triangles.
Irregular pentagons
The sum of interior angles in a triangle is 180°. To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°.
Example
Calculate the sum of interior angles in a pentagon.
A pentagon contains 3 triangles. The sum of the interior angles is:
180 * 3 = 540
The number of triangles in each polygon is two less than the number of sides.
The formula for calculating the sum of interior angles is:
(n - 2) * 180 (where n is the number of sides)
Answer:
0.10x + 0.13y = 10780
x + y = 100000
x = 74000 --------------10%
y = 26000 --------------13% (more risky)
Answer:
∠L = 54°
Step-by-step explanation:
5x + 2x + 3x = 180 (all angles in a triangle add up to 180)
10x = 180
x = 18°
∠L = 3x
sub x = 18
3(18) = 54
∠L = 54°