Answer: Expected number of tests = 5.013
Step-by-step explanation:
Define random variable X that marks the number of tests required for some certain
group. Observe that if the test is negative for all the people (which has probability 0.95), we make one and only one test. If some of the people is tested positive, we make ten additional tests for every person in that group separately. Hence, the expected number of tests will be for if they are all negative (1 test) and the case of at least one person testing positive (11 tests).
That Is,
E(X) = 1(0.95^10) + 11(1 - (0.95^10))
E(X) = 0.5987 + 4.414 = 5.013
We can do like we did before, distribute the denominator,
Answer:
y = -6x + 5
Step-by-step explanation:
Perpendicular to the line:
find reciprocal of slope 1/6 => m= -6
Sub m = -6 and point (-3,23) into equation of a line
y = mx + b
23 = -6(-3) + b
23 = 18 + b
Isolate and find b
b = 5
Sub slope and b to get the equation
Answer:
or
, where 
Step-by-step explanation:
The given trigonometric equation is:

By the zero product principle;
Either
or 
When
, then 
When
, then 
This implies that: 
Therefore the general solution is
or
, where 
Answer:
Congruence between pentagons
Step-by-step explanation:
The relationship occurs because having two congruent Pentagons and generating a segment within them (or outside), congruence is extrapolated to the triangles generated within them. Thus, if there is congruence among the pentagons, it will exist between the formed triangles. In other words since the two pentagons are congruent, the corresponding angle pair is congruent. also the two corresponding side pairs are also congruent.
In the attached image for example, the ABCDE and KLMNO pentagons are congruent, so all of their internal division lines are also congruent (AC and KM)