The answer to this is B.. “oh wait- you didn’t give me anything to back the question up.”
Answer:
What it's all so ezzzzzzzzzzzzzzzzzzzzzzzz it will take me a while so yeah
Answer:
12p
Step-by-step explanation:
the perfect square is form
(p - 6)² = p² - 12p + 36
Answer:
the number of ways to select at least 1 democrat in the subcommittee is 69,486 ways
Step-by-step explanation:
Given;
number of the subcommittee, = 6
number of democrats = 10
number of republicans, = 12
The number of ways to select at least 1 democrat in the subcommittee is calculated as follows;
Let D represent Democrats
let R represent Republicans
= (1D & 5R) or (2D & 4R) or (3D & 3R) or (4D & 2R) or (5D & 1R) or (6D)
= 10C₁ x 12C₅ + 10C₂ x 12C₄ + 10C₃ x 12C₃ + 10C₄ x 12C₂ + 10C₅ x 12C₁ + 10C₆
![=( \frac{10!}{9!1!} \times \frac{12!}{7!5!} )+ (\frac{10!}{8!2!} \times \frac{12!}{8!4!})+ (\frac{10!}{7!3!} \times \frac{12!}{9!3!})+ (\frac{10!}{6!4!} \times \frac{12!}{10!2!})+ (\frac{10!}{5!5!} \times \frac{12!}{11!1!}) \\\\ +(\frac{10!}{4!6!})\\\\= (7,920) + (17,820) + (26,400) + (13,860)+ (3,276) + (210)\\\\= 69,486 \ ways](https://tex.z-dn.net/?f=%3D%28%20%5Cfrac%7B10%21%7D%7B9%211%21%7D%20%5Ctimes%20%5Cfrac%7B12%21%7D%7B7%215%21%7D%20%29%2B%20%28%5Cfrac%7B10%21%7D%7B8%212%21%7D%20%5Ctimes%20%5Cfrac%7B12%21%7D%7B8%214%21%7D%29%2B%20%28%5Cfrac%7B10%21%7D%7B7%213%21%7D%20%5Ctimes%20%5Cfrac%7B12%21%7D%7B9%213%21%7D%29%2B%20%28%5Cfrac%7B10%21%7D%7B6%214%21%7D%20%5Ctimes%20%5Cfrac%7B12%21%7D%7B10%212%21%7D%29%2B%20%20%28%5Cfrac%7B10%21%7D%7B5%215%21%7D%20%5Ctimes%20%5Cfrac%7B12%21%7D%7B11%211%21%7D%29%20%20%5C%5C%5C%5C%20%2B%28%5Cfrac%7B10%21%7D%7B4%216%21%7D%29%5C%5C%5C%5C%3D%20%287%2C920%29%20%2B%20%2817%2C820%29%20%2B%20%2826%2C400%29%20%2B%20%2813%2C860%29%2B%20%283%2C276%29%20%2B%20%28210%29%5C%5C%5C%5C%3D%2069%2C486%20%5C%20ways)
Therefore, the number of ways to select at least 1 democrat in the subcommittee is 69,486 ways
Answer:
125cm cubed
Step-by-step explanation:
First, the formula for volume is l x h x w, so we have to multiply 5 x 5 x 5 which equals 125.
Hope this helps!