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sattari [20]
3 years ago
8

Help me with this pls!!! You need to fill in the blanks with the words given above 99 Points!

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
8 0

A simulation is a mathematical model used to represent a situation.

  • A simulation can be a program or a physical test to "simulate" a situation to predict the outcomes.

When we combine two or more simple events we have a compound event

  • "Compound" means to combine, like a compound word would be a combination of two words

A Tree Diagram is a diagram that shows all the possible outcomes of an event

  • In a tree diagram, each possible outcome "branches" off the main stem, making the final diagram look like a tree with many separating branches.

All the possible outcomes or results is called the sample space

  • The outcomes are each different samples, and a sample space is a space that collects each of these samples

When an event is not affected by a previous outcome we have an independent event

  • This event is "independent", not affected by other factors, making it an independent event

Let me know if you need any clarifications, thanks!

~ Padoru

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The 13-in. by 9-in. rectangle where the food listings fit has an area of 13 in. * 9 in. = 117 in.^2

Adding 48 in.^2 for the border, the total area of the menu with the border will be 117 in.^2 + 48 in.^2 = 165 in.^2

The border has to have uniform width around the menu. We need to find the width of the border. Let the border be x inches wide. Then since you have a border at each of the 4 sides, the border will add 2x to the length of the rectangle and 2x to the width of the rectangle. The menu will have a length of 2x + 13 and a width of 2x + 9. The area of the larger rectangle must by 165 in.^2. The area of a rectangle is length times width, so we get our equation:

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Multiply out the left side (use FOIL or any other method you know):

4x^2 + 18x + 26x + 117 = 165

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4x^2 + 44x - 48 = 0

Divide both sides by 4.

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x + 12 = 0 or x - 1 = 0

x = -12 or x = 1

The solution x = -12 is not valid for our problem because the width of a border cannot be a negative number. Discard the negative solution.

The solution is x = 1.

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