4. Look at the figure below. Are triangles ABC and DEF congruent? Explain why or why not.
1 answer:
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Answer:
0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.
Step-by-step explanation:
For each test, there are only two possible outcomes. Either it is positive, or it is negative. The probability of a test being positive or negative is independent of any other test, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
The probability of an individual blood sample testing positive for the virus is 0.06.
This means that
If samples from three people are combined and the mixture tests negative, we know that all three individual samples are negative. Find the probability of a positive result for three samples combined into one mixture.
It will be positive if at least one of the tests is positive, that is:
In which
Then
0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.
Answer: (4, 4.6)
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The x coordinates of the points (3,2) and (8,15) are x = 3 and x = 8 respectively. The distance between these x values is 8-3 = 5 units. So we move 5 units to the right to go from the first point to the second point.
Imagine we had 5 blocks. If 1 of them is colored red and the other four are green, then the ratio of red to green is 1:4. We have 1 part red, 4 parts green. So 1+4 = 5 total. The "red block" in the metaphor mentioned basically tells us how far to move over the total distance 5. So we move 1/5th of the way along the horizontal distance of 5.
1/5 of 5 = (1/5)*5 = 1
So we move exactly one unit along the x direction. Therefore, we add 1 to to the x coordinate of (3,2) to end up with (3+1,2) = (4,2). This isn't the final answer, but it helps get us closer.
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For the y coordinates of the given points we see that the y difference is 15-2 = 13. Multiply this by 1/5 to get
(1/5)*13 = 13/5 = 2.6
We follow effectively the same steps as before, but now we're dealing with the y values this time. So we move 2.6 units in the y direction (ie move 2.6 units up)
Add 2.6 onto the y value of that last point we found to get (4,2+2.6) = (4,4.6)
So that explains why the answer is (4, 4.6)
A visual might help so I've posted one below in the attached images. In that image, the location of point T is the final answer.
