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Nat2105 [25]
3 years ago
14

A restaurant serves custom-made omelets, where guests select meat, cheese, and vegetables to be added to their omelet. There are

6 vegetables available, and guests may select any 2 vegetables for their omelet. How many different combinations of 2 vegetables are possible?
from were get the 5 and 4
Mathematics
1 answer:
FrozenT [24]3 years ago
7 0

Answer:

15 possible combinations

Step-by-step explanation:

Given

Vegetables = 6

Selection = 2

Required

Determine the possible number of combinations

The question emphasizes on "selection" which means "combination".

So; To answer this question, we apply the following combination formula:

^nC_r = \frac{n!}{(n-r)r!}

In this case:

n = 6

r = 2

The formula becomes:

^6C_2 = \frac{6!}{(6-2)!2!}

^6C_2 = \frac{6!}{4!2!}

^6C_2 = \frac{6*5*4!}{4!2*1}

^6C_2 = \frac{6*5}{2}

^6C_2 = \frac{30}{2}

^6C_2 = 15

<em>Hence, there are 15 possible combinations</em>

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joja [24]

Answer:

Tenemos 75 postulantes, y sus notas están en el rango desde 16 hasta 20.

1) si el grupo es homogéneo y todos tienen la misma nota, entonces todos van a tener la nota media en el rango (16, 20)

Para encontrar esta nota calculamos la suma entre ambos extremos y lo dividimos por 2.

Media = (16 + 20)/2 = 36/2 = 18

La nota sería 18.

2) entre 16 y 20 tenemos:

16, 17, 18, 19 y 20

tenemos 5 notas distintas, entonces si agrupamos a los estudiantes por nota, tendríamos 5 grupos.

3) En una distribución normal, el grupo mas grande debería coincidir con la media del intervalo. Ya sabemos que la media es 18, entonces es esperable que la nota del grupo mas grande sea 18.

4) Si los estudiantes se ordenan en fila según notas tendríamos:

Fila con nota 16

fila con nota 17

fila con nota 18

fila con nota 19

fila con nota 20

Podemos ver que la fila del medio es el grupo con nota de 18

6 0
3 years ago
A vertex a is at (-1, -2)
Flura [38]

Answer:

A'(-4,4)

B'(-2,11)

Step-by-step explanation:

6 unit up and 3 unit left

A (-1,-2) : 6 unit up → (-1,4) → 3 unit left → (-4,4)

A'(-4,4)

B (1,5) : 6 unit up → (1,11) → 3 unit left → (-2,11)

B'(-2,11)

8 0
3 years ago
f(x)=x^2; vertical shrink by a factor of 1/2 and a reflection in the y-axis, followed by a translation 1 unit down​
NeX [460]

The image of the function f(x) after vertical shrink by a factor of 1/2

and a reflection in the y-axis, followed by a translation 1 unit down​

is g(x) = \frac{1}{2} x² - 1

Step-by-step explanation:

Lets revise:

1. The vertical shrink

A vertical shrinking is the squeezing of the graph toward the x-axis.

if 0 < k < 1 (a fraction), the graph of y = k•f(x) is the graph of f(x) vertically

shrunk by multiplying each of its y-coordinates by k

2. The reflection

If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)

3. Vertical translation

If the function f(x) translated vertically up  by m units, then its image

is g(x) = f(x) + m

If the function f(x) translated vertically down  by m units, then its image

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Now let us solve the problem

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<em>V.I.Note:</em>

(-x)² = x² because even exponents reject the negative sign

The image of the function f(x) after vertical shrink by a factor of 1/2

and a reflection in the y-axis, followed by a translation 1 unit down​

is g(x) = \frac{1}{2} x² - 1

The attached graph for more understand

Learn more:

you can learn more about transformation in brainly.com/question/2415963

#LearnwithBrainly

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