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
Answer:
Claim 2
Step-by-step explanation:
The Inscribed Angle Theorem* tells you ...
... ∠RPQ = 1/2·∠ROQ
The multiplication property of equality tells you that multiplying both sides of this equation by 2 does not change the equality relationship.
... 2·∠RPQ = ∠ROQ
The symmetric property of equality says you can rearrange this to ...
... ∠ROQ = 2·∠RPQ . . . . the measure of ∠ROQ is twice the measure of ∠RPQ
_____
* You can prove the Inscribed Angle Theorem by drawing diameter POX and considering the relationship of angles XOQ and OPQ. The same consideration should be applied to angles XOR and OPR. In each case, you find the former is twice the latter, so the sum of angles XOR and XOQ will be twice the sum of angles OPR and OPQ. That is, angle ROQ is twice angle RPQ.
You can get to the required relationship by considering the sum of angles in a triangle and the sum of linear angles. As a shortcut, you can use the fact that an external angle is the sum of opposite internal angles of a triangle. Of course, triangles OPQ and OPR are both isosceles.
The answer is 43.6 for the question
5v - 4/10 = 4/5
5v = 4/5 + 4/10 = 6/5
v = (6/5)/5 = 6/25
Answer:
C. 50.24 feet
Step-by-step explanation:
The formula for circumference is 2rπ (two times radius times pi)
2 * 8 * 3.14 = 50.24
