Solve Basics & Brainlock (100) (.2)x(.8) 100-x

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In summary, the purpose of "Solve Basics & Brainlock (100) (.2)x(.8) 100-x" is to find the optimal solution for a problem with two variables and constraints. To solve it, you can use algebraic manipulation or a graphing calculator to find the point of intersection. The number 100 represents the total or maximum value in the problem, while the numbers .2 and .8 represent the proportions or weights of each variable. This equation can be applied in real life situations such as recipe creation, resource allocation, and decision making.
  • #1
jimmie 88
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(100) (.2)x(.8) 100-x
x
Trying to solve this using 1, then 2 for x. The same parentheses are around both the 100 and the x.
Thanks
 
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  • #2
Do you mean that first term, in which "The same parentheses are around both the 100 and the x" is a fraction: (100/x) or the binomial coefficient?

Oh, yes, of course, that's a "binomial distribution" calculation:
[tex]\frac{100!}{x!(100-x)!}.2^x .8^{(100-x)}[/tex]

With x= 1 that is
[tex]\frac{100!}{99!}(.2)(.8^{99})[/tex]
All except the last term are easy. You may want to use a calculator for .899!

With x= 2 that is
[tex]\frac{100!}{2(98!)}(.2^2)(.8^{98})[/itex]

Do the arithmetic! (Cancel a lot in those binomial coefficients first.)
 
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  • #3


I would like to clarify that the provided content is not a scientific equation or problem, but rather a mathematical expression. To solve this expression, you would need to apply the order of operations, which states that you should solve operations within parentheses first, followed by multiplication and division, and finally addition and subtraction. Additionally, the use of parentheses around both 100 and x suggests that they are being multiplied together, so the expression can be rewritten as (100)(.2)(.8)(100-x). From there, you can simplify the expression by multiplying the numbers within the parentheses and then subtracting the result from 100. The final answer would depend on the value of x, which has not been provided in the given content.
 

1. What is the purpose of "Solve Basics & Brainlock (100) (.2)x(.8) 100-x"?

This equation is used to find the optimal solution for a problem where there are two variables with constraints.

2. How do you solve "Solve Basics & Brainlock (100) (.2)x(.8) 100-x"?

To solve this equation, you can use algebraic manipulation to simplify and solve for the variable x. You can also use a graphing calculator or software to plot the equation and find the point of intersection, which is the optimal solution.

3. What does the number 100 represent in "Solve Basics & Brainlock (100) (.2)x(.8) 100-x"?

The number 100 represents the total value or amount in the problem. It can also be thought of as the maximum value or constraint.

4. What do the numbers .2 and .8 represent in "Solve Basics & Brainlock (100) (.2)x(.8) 100-x"?

The numbers .2 and .8 represent the proportions or percentages of the total value that are being multiplied by the variable x. These proportions can also be thought of as the weights or importance given to each variable in the problem.

5. How can "Solve Basics & Brainlock (100) (.2)x(.8) 100-x" be applied in real life situations?

This equation can be applied in various real life situations, such as finding the optimal mix of ingredients in a recipe or determining the optimal allocation of resources in a business. It can also be used in decision making processes, where there are multiple variables with constraints, to find the best solution.

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