Use the pythagorean theorem
a squared plus b squared equals c squared where c is the length of the hypotenuse and a and b are the lengths of the legs in a right triangle
c^2-b^2=31^2-23^2=432
432=a^2
a=approx 20.7846
Answer:

Step-by-step explanation:
Given
Let the probability of false positive be represented with p

Required
Determine the probability the first occurrence of p was at the third person
We have that:

The probability that a trustworthy person do not fail the test (q) is:



The required probability implies that:
The first person did not fail: i.e. 0.85
The second person did not fail: i.e. 0.85
The third person failed: i.e. 0.15
This is then calculated as:


<em>Hence, the probability that the first false positive occurred at the third person is 0.108375</em>
Answer:
Distance is 9.21954445729 (9) and the midpoint is (-2, 1.5)
Step-by-step explanation:
Pythagorean theorem
Height = 7 and Length = 6
7^2 + 6^2 = c^2
49 + 36 = c^2
85 = c^2
c = 9.21954445729
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Botton point is (1, -2)
x: 1 - 3 = -2
y: -2 + 3.5 = 1.5
Midpoint = (-2, 1.5)
The line graph is unsuitable for her purposes because it does not show adequately the comparison of the expenses.
Line graph is used to show the increase/decrease of a particular variable.
Bar graph is a more adequate format to create a visual representation.