1 is 100 degrees
2 is 72 degrees
3 is 9 degrees
4 is 125 degrees
5 is 155 degrees
6 is 91 degrees
7 is x=28 degrees
8 is x=125 degrees
9 is x=35
10. angle 2 is 86 degrees (vertical angles)
11. angle 3 s 94 degrees (supplementary to angle 2)
12. angle 4 is 86 degrees (<4 and <2 are alt. interior angles and are congruent)
13. angle 6 is 86 degrees (<6 and <4 are vertical angles)
Answer:
= ( -4.725, 6.945) pg/ml
Therefore at 95% confidence interval (a,b) = ( -4.725, 6.945) pg/ml
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean gain x = 1.11 pg/ml
Standard deviation r = 15.18 pg/ml
Number of samples n = 26
Confidence interval = 95%
z(at 95% confidence) = 1.96
Substituting the values we have;
1.11+/-1.96(15.18/√26)
1.11+/-1.96(2.977042931397)
1.11+/-5.835004145539
1.11+/-5.835
= ( -4.725, 6.945) pg/ml
Therefore at 95% confidence interval (a,b) = ( -4.725, 6.945) pg/ml
SOLUTION:
We are to calculate the shaded area of the given shape.
CONCEPT:
This is a triangle that a rectangle was cut out from.
To calculate the shaded area of the given shape, we are to find the area of the triangle and then subtract the area of the recangle that was cut out.


The shaded area = Area of the triangle - Area of the rectangle
See Below (Process and answer)