the sum of the angles in a triangle = 180°, thus
x + x +
x = 180
multiply through by 6
6x + 3x + x = 1080
10x = 1080 ( divide both sides by 10 )
x = 108
the angles are 108°, 54° and 18°
Since all the angles are different and the largest is 108°
The triangle is an obtuse scalene triangle
We have been given the function
We know that the range is set of y values for which the function is defined. Therefore, we will find the value for x and then observe the restriction is y's values.
Now, we know that logarithm function is not defined for negative values. Hence, the value for y is always greater than zero.
Therefore, the range of the function is given by y>0
B is the correct option.
Answer:
0.967 = 96.7% probability the rock sample actually contains raritanium
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Positive reading
Event B: Contains raritanium
Probability of a positive reading:
98% of 13%(positive when there is raritanium).
0.5% of 100-13 = 87%(false positive, positive when there is no raritanium). So
Positive when there is raritanium:
98% of 13%
What is the probability the rock sample actually contains raritanium?
0.967 = 96.7% probability the rock sample actually contains raritanium