Answer
28 committees
Explanation:
The total number of members = 8
We want to make a committee of 2 members
We will be applying the combination concept
![\begin{gathered} \text{let n = 8 and r = 2} \\ ^nC_r\text{ = }\frac{n!}{(n\text{ - r)!r!}} \\ ^8C_2\text{ = }\frac{8!}{(8\text{ - 2)!2!}} \\ ^8C_2\text{ = }\frac{8!}{6!2!} \\ ^{8_2}C\text{ = }\frac{8\text{ x 7 x 6 x 5 x 4 x 3 x 2 x 1}}{6\text{ x 5 x 4 x 3 x 2 x 1! 2 x 1}} \\ ^{8_{}}C_2\text{ = }\frac{8\cdot\text{ 7}}{2} \\ ^{8_{}}C_2\text{ = 28 committees} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7Blet%20n%20%3D%208%20and%20r%20%3D%202%7D%20%5C%5C%20%5EnC_r%5Ctext%7B%20%3D%20%7D%5Cfrac%7Bn%21%7D%7B%28n%5Ctext%7B%20-%20r%29%21r%21%7D%7D%20%5C%5C%20%5E8C_2%5Ctext%7B%20%3D%20%7D%5Cfrac%7B8%21%7D%7B%288%5Ctext%7B%20-%202%29%212%21%7D%7D%20%5C%5C%20%5E8C_2%5Ctext%7B%20%3D%20%7D%5Cfrac%7B8%21%7D%7B6%212%21%7D%20%5C%5C%20%5E%7B8_2%7DC%5Ctext%7B%20%3D%20%7D%5Cfrac%7B8%5Ctext%7B%20x%207%20x%206%20x%205%20x%204%20x%203%20x%202%20x%201%7D%7D%7B6%5Ctext%7B%20x%205%20x%204%20x%203%20x%202%20x%201%21%202%20x%201%7D%7D%20%5C%5C%20%5E%7B8_%7B%7D%7DC_2%5Ctext%7B%20%3D%20%7D%5Cfrac%7B8%5Ccdot%5Ctext%7B%207%7D%7D%7B2%7D%20%5C%5C%20%5E%7B8_%7B%7D%7DC_2%5Ctext%7B%20%3D%2028%20committees%7D%20%5Cend%7Bgathered%7D)
Therefore, 28 committees can be formed
In this item, we are asked to split the numerical value which is 54 pounds such that the ratio of the numbers will be 5:4.
To answer, let 5x be the first number and 4x be the second number. With the given scenario, the equation that would best represent the given will be,
54 = 5x + 4x
The value of x is 6 giving us the values of 5x and 4x as 30 and 24, respectively.
Hence, the split will be 30 and 24.
Answer:
median 6.5
mean 6.166
range 6
Step-by-step explanation:
The LCD of 2/5 + k/4 = 9/10 is 20. Applying this LCD, we get:
8 + 5k = 18. Subtracting 8 from both sides: 5k = 10. Then k = 10/5, or k = 2.
Answer:
true the answer is true because a triangle has three sides and three angles