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xenn [34]
3 years ago
9

Hannah and Corrine are playing a game by rolling two cubes, each numbered 1 through 6. If the sum of the numbers on the cubes is

7, Hannah wins. If the sum is not 7, Corrine wins. Corrine says Hannah can win only if the following occurs:
1 on the first cube, 6 on the second cube
2 on the first cube, 5 on the second cube
3 on the first cube, 4 on the second cube

Which best explains if Corrine is correct?

Corrine is correct because there are only three ways to have a sum of 7 when the cubes are rolled.

Corrine is correct because there are no 7s on the cubes, so Hannah must roll a greater number on the second cube.

Corrine is not correct because Hannah can also roll doubles on the cubes, such as 3 on the first cube and 3 on the second cube or 4 on the first cube and 4 on the second cube.

Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.
Mathematics
1 answer:
geniusboy [140]3 years ago
3 0

D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.

Step-by-step explanation:

To get a sum of 7 by rolling two cubes, we need to get one of the combinations from the list below:

1 on the first cube, 6 on the second cube

or

6 on the first cube, 1 on the second cube

2 on the first cube, 5 on the second cube

or

5 on the first cube, 2 on the second cube

3 on the first cube, 4 on the second cube

or

4 on the first cube, 3 on the second cube

Therefore, the correct answer option is D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.

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The proposal for the price for a number of shirts given by the four companies can be analyzed graphically, given that each price list gives a straight line, and the result presented using a piecewise function approach as follows:

\begin{cases} & \text{ if } 20 \leq  x\leq 40 \ The \ company \ to \ be \ selected \ is \ Easy \ Calculation\\ & \text{ if } 40 < x \leq 80\ The \ company \ to \ be \ selected \ is \ Shirtee \\ & \text{ if } 80 < x \leq 200\The \ company \ to \ be \ selected \ is \ T-Shirts\ R\ Us \end{cases}

<h3>What is a piecewise function?</h3>

A piecewise defined function is one that has other sub functions which are applied over different intervals of the domain.

The given table of values and equation are plotted on a graph using MS Excel

From the graph, and the table created, we have:

When the number of shirts on order is less than 40, the least expensive is Easy Calculation shirts

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The selection table is presented as follows:

\begin{cases} & \text{ if } 20 \leq  x\leq 40 \ The \ company \ to \ be \ selected \ is \ Easy \ Calculation\\ & \text{ if } 40 < x \leq 80\ The \ company \ to \ be \ selected \ is \ Shirtee \\ & \text{ if } 80 < x \leq 200\The \ company \ to \ be \ selected \ is \ T-Shirts\ R\ Us \end{cases}

Learn more about piecewise defined functions here:

brainly.com/question/18499561

#SPJ1

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