Answer:
So, Michael completed the proof incorrectly because ∠AKG ≅ ∠AKL are not congruent because they are not vertically opposite angles.
Step-by-step explanation:
Hope this helps! (:
Answer:
False -Demartra
Step-by-step explanation:
Answer:

Step-by-step explanation:
Let's write out a case for two specific questions being correct and the rest being incorrect:
,
The
represents the chances of getting the question correct, as there are 5 answers and 1 correct answer choice.
The
represents the chances of getting the question incorrect, as there are 5 answers and 4 incorrect answer choices.
The equation above does show the student getting two answers correct and three answers incorrect, but it only shows one possible case of doing so.
We can choose any two of the five questions to be the ones the student gets correct. Therefore, we need to multiply this equation by the number ways we can choose 2 from 5 (order doesn't matter):
.
Therefore, the probability the student gets two questions correct is:

Answer:
There is a 44.16% probability that exactly 1 of the tested bottles is contaminated.
Step-by-step explanation:
is the number of different combinatios of x objects from a set of n elements, given by the following formula.

In this problem, we have that:
Total number of combinations:

Desired combinations:
It is 1 one 5(contamined) and 2 of 17(non contamined). So:

What is the probability that exactly 1 of the tested bottles is contaminated?

There is a 44.16% probability that exactly 1 of the tested bottles is contaminated.
Answer:
-4/3 (Answer A)
Step-by-step explanation:
Here we go from the point (-3, 3) on the left to the point (0, -1) on the right. It is immediately apparent that x (the run) increases by 3 from -3 to 0 and that y (the rise) decreases by 4 from 3 to -1. Thus, the slope of this line (which is also the rate of change) is
m = rise / run = -4/3 (Answer A)