The ratio (red to blue) of the perimeters of the similar triangles is 12:7
Assuming that the similar triangles are equilateral triangles, then all their sides will be equal.
Perimeter of a triangle = s1 + s2 + s3
For the red triangle;
Perimeter of the red triangle = 12 + 12 + 12
Perimeter of the red triangle = 36
For the blue triangle:
Perimeter of the blue triangle = 7 + 7 + 7
Perimeter of the blue triangle = 21
Taking the ratio of their perimeters;
Ratio of red to blue = 36:21 = 12:7
Hence the ratio (red to blue) of the perimeters of the similar triangles is 12:7
Learn more here: brainly.com/question/15046223
Using the hypergeometric distribution, it is found that the probability is 0.845 = 84.5%.
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- The patients are chosen from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by:
The parameters are:
- x is the number of successes.
- N is the size of the population.
- n is the size of the sample.
- k is the total number of desired outcomes.
Combination formula:
is the number of different combinations of x objects from a set of n elements, given as:
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- 56074 patients, thus
- Sample of 40, thus,
- 235 left against medical advice, thus,
.
The probability that none left against medical advice is P(X = 0), so:
The probability is 0.845 = 84.5%.
A similar problem is given at brainly.com/question/24008577
The correct answer is - 2. There's an increase in the number of snakes and insects, and the storks face increased competition for food.
The significant decrease in the number of eagles, because of the human activity, and of the rabbits, because of a virus, has been of great use for the populations of the snakes to increase, as well as the populations of the insects. That has happened because the snakes lost their predator, and the insects lost a competition for a food source, so their numbers rose.
On the other hand, because of the increase of the number of snakes, the storks had started to face increased competition, as both have the same food source, the frogs.
