Given:
The interior angle of a regular polygon is 132 degrees.
To find:
The given statement is possible or not.
Solution:
Let as assume the interior angle of a regular polygon with n vertices is 132 degrees.
Then, the exterior angles are
We have, n vertices. So, the number of exterior angles is n.
Sum of all exterior angles = 48n degrees
We know that, sum of all exterior angles of a regular polygon is always 360 degrees.
Number of vertices is always a whole number. So, it cannot be a fraction value.
So, our assumption is wrong.
Therefore, a regular polygon cannot have an interior angle of 132 degrees.
So lawn and gardens will be 55 for one square yard and yard depot will be 80.
lawn and gardens costs 5 more for each cubic yard
80- 55 to get the difference in costs
25 is the difference
25/5
5 extra yards will be needed
proof:
lawn and garden = l
yard depot = y
l=30x +30
y=25x+55
30(5) +30
150+30
180
25(5) + 55
125 + 55
180
So X + 10 = 114
Isolate x by subtracting 10 from both sides
X = 104
Your number that is increased by 10 to get 114 is 104
Answer:
The 95% confidence interval for the true slope is (0.03985, 0.14206).
Step-by-step explanation:
For the regression equation:
The (1 - <em>α</em>)% confidence interval for the regression coefficient or slope 
is:
The regression equation for current GPA (Y) of students based on their GPA's when entering the program (X) is:
The summary of the regression analysis is:
Predictor Coefficient SE t-stat p-value
Constant 3.584756 0.078183 45.85075 5.66 x 10⁻¹¹
Entering GPA 0.090953 0.022162 4.103932 0.003419
The regression coefficient and standard error are:
The critical value of <em>t</em> for 95% confidence level and 8 degrees of freedom is:
Compute the 95% confidence interval for as follows:
Thus, the 95% confidence interval for the true slope is (0.03985, 0.14206).
