Answer:
(121.576 ; 273.424)
Step-by-step explanation:
Given the data:
175, 125, 180, 220, 240, 245
We can calculate the mean and standard deviation
Mean = Σx/ n = 1185 / 6 = 197.5
Standard deviation = 46.125 (calculator)
The confidence interval :
Mean ± margin of error
Margin of Error = Tcritical * s/sqrt(n)
Tcritical at 99%, df = n - 1 ; 6 - 1 = 5
Tcritical = 4.032
Margin of Error = 4.032 * 46.125/√6
Margin of error = 75.924
Confidence interval :
197.5 ± 75.924
Lower boundary = 197.5 - 75.924 = 121.576
Upper boundary = 197.5 + 75.924 = 273.424
(121.576 ; 273.424)
4.4652 square feet. you just multiply the two
Answer:
(-1, 4) , (0, 6), (1, 9), (2, 13.5)
Step-by-step explanation:
First one.
Since the two angles are congruent through vertical angles theorem,
5x = 6x - 8
5x - 6x = -8
-x = -8
x = 8
Second one.
Use the 180° rule.
(8x - 2) + (2x + 2) = 180
8x - 2 + 2x + 2 = 180
8x + 2x + 2 - 2 = 180
10x = 180
x = 180 / 10
x = 18
Third one.
Vertical angle theorem.
7x = 5x + 40
7x - 5x = 40
2x = 40
x = 40 / 2
x = 20
Answer: x = 56
It’s a supplementary angle
Step-by-step explanation:
It’s a supplementary angle if their measures add to 180 degrees
is the equation
2x + 68 = 180 degrees
2x = 180 -68
2x = 112
x = 112/2
x = 56
