Using the combination formula, it is found that 2,220,075 committees can be formed.
The order in which the people are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.
<h3>Combination formula:
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is the number of different combinations of x objects from a set of n elements, given by:
In this problem, 8 people are chosen from a set of 12 + 15 = 27, hence:
2,220,075 committees can be formed.
To learn more about the combination formula, you can take a look at brainly.com/question/25821700
We are asked to determine the correlation factor "r" of the given table. To do that we will first label the column for "Quality" as "x" and the column for "Easiness" as "y". Like this:
Now, we create another column with the product of "x" and "y". Like this:
Now, we will add another column with the squares of the values of "x". Like this:
Now, we add another column with the squares of the values of "y":
Now, we sum the values on each of the columns:
Now, to get the correlation factor we use the following formula:
Where:
Now we substitute the values, we get:
Solving the operations:
Therefore, the correlation factor is 0.858. If the correlation factor approaches the values of +1, this means that there is a strong linear correlation between the variables "x" and "y" and this correlation tends to be with a positive slope.
This is the way to solve the problem
100 centimeters in 1 meter
Answer:
5/11
Step-by-step explanation:
4/11 × 10/8
= 40/88
= 5/11