At the restaurant i 23 Σ π, they have 13 appetizer, 23 soup, 24 entree, and 18 dessert options. How many unique 4-course meals

Answers

Answer 1

Answer:

129168

Step-by-step explanation:

they have 13 appetizer, 23 soup, 24 entree, and 18 dessert options.

Number of 4 course meal ( all unique) that can be made

=13C1×23C1×24C1×18C1

= 13×23×24×18 = 129168

Answer 2

Hence, [tex]129168[/tex] unique [tex]4-[/tex]course meals can be created.

Combination:

The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter. In smaller cases, it is possible to count the number of combinations.

Given that,

[tex]13[/tex] appetizer   [tex]23[/tex] soup    [tex]24[/tex] entree   [tex]18[/tex] dessert

[tex]4-[/tex]course meal can be prepared as follows:

[tex]13_C_{1}\times23_C_{1} \times24_C_{1} \times18_C_{1}[/tex]   (use combination for each given)

Note: [tex]n_C_{r} =[\frac{n!}{r!(n-r)!} ][/tex]

[tex]13_C_{1}\times23_C_{1} \times24_C_{1} \times18_C_{1}\\=13\times23\times24\times18\\=129168[/tex]

Learn more about the topic of Combination: https://brainly.com/question/11732255


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Answer:

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Step-by-step explanation:

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I think that is the correct answer sorry I didn't answer before didn't see the problem.

If y varies directly with x and y=20.4 when x=6, find the value of y when x=-5?
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B. Y=24.48
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Answers

Answer:

y=-17

Step-by-step explanation:

y=mx

20.4=m×6

20.4÷6=m

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y=-17

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What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

If y varies directly with x. Then we have

y ∝ x

y = kx

At x = 6 and y = 20.4, then the value of the constant k is calculated as,

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Then the equation is given as,

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The value of the variable 'y' at x = 5 will be calculated as,

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If the perimeter of a square is 20, find the length of a diagonal. Round your answer to the nearest tenth.
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Answers

Since a square is equal on all 4 sides, that means each side would be 5, because 20/4=5

so using the Pythagorean thrm (which we can use since a square has all 90 degree angles)

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5^2+5^2=c^2
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Answer:

option 2] 7. 1

Step-by-step explanation:

Perimeter of square is 20.

therefore,

[tex]perimeter \: = 4 \times side \\ therefore \: 20 = 4 \times side \\ \: \: \: \: \: \: side = \frac{20}{4} \: = 5 [/tex]

the diagonal and the Two adjacent sides of the square form a right angle triangle, so,

By hypotenuse theorem,

[tex] {iagonal}^{2} \: = {side1}^{2} + {side2 }^{2} \\ \: \: \: \: \: \: \: \: = {5}^{2} + {5 }^{2} \\ = 25 + 25....(as \: suare \: has \: equal \: sides \: i.e \: 5) \\ = 50 \\diagonal = \sqrt{50} \\ = \sqrt{25 \times 2} \\ = 5 \sqrt{2 } \\ = 5 \times 1.414 \\ = 7.07 \\ = approx \: 7.1[/tex]

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Remark

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I believe the answer is 7 and 1/2 plz let me know if I’m wrong
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Step-by-step explanation:

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Answer is 14.6. Good luck.

Answer:

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Step-by-step explanation:

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HAVE A GREAT DAY



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Step-by-step explanation:

Giving the following information:

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