The minimum number of people who claimed ancestry from all three heritages is : 45
Given that there are 100 relatives
let's assume that 1 relative = 1 room
100 relatives = 100 rooms
Number of relatives with Italian heritage = 90
Number of relatives with German heritage = 80
Number of relatives with swiss heritage = 75
<u>Step 1 : </u>
Fill up the first 90 rooms with Italian heritage relatives
Fill up the remaining 10 rooms with 10 Relatives with German heritage
<u>Step 2 :</u>
Distribute the remaining 70 relatives with German heritage into 70 rooms out of the 90 rooms already occupied by the relatives with Italian heritage
<u>Step 3: </u>
Distribute the 75 relatives with swiss heritage into the 20 rooms occupied by Italian heritage relatives only and<em> </em><u><em>45 rooms</em></u><u><em> occupied by both </em></u><u><em>German and Italian relatives</em></u><u><em> </em></u>and into the 10 rooms occupied by the German heritage relatives
Therefore we can conclude that the minimum number of people who claimed ancestry from all three heritages is : 45
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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 length of the third side of the triangle will be 4 centimeters if it is a right-angled triangle.
<h3>What is a triangle?</h3>
A triangle is a geometric shape having three sides and the area is equal to 270 degrees. A right angle triangle is one where the angle of one side is exactly 90 degrees.
If two sides measure 3 and 5 centimeters, the triangle will have a right angle if the third side measures around 4 centimeters.
Hence, the third side of the triangle will be 4 centimeters.
Learn more about triangle here:
brainly.com/question/14366937
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Answer:
Are the available choices in my nutritional goals
Explanation:
Smart food decisions are required for maintaining your body healthy especially when your following a diet and have a goal.
Answer:
(a) In this case, small bugs are more likely to have relative fitness on the new food source.
(b) A change that will occur in bug morphology is that the female bugs will turn out to be the same size as the male bugs.
(c) In terms of behavior, the bugs will experience less competition towards reproducing early.
(d) Yes, the dispersing bug would have higher fitness as they will be able to easily get access to new resources once the previous one has run out, whereas the bugs with less developed fight muscles will not be able to do so.
Hope that answers the question, have a great day!
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