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3 years ago

The school baseball team has 3 pitchers. How many different 3-player pitching schedules can the coach choose from?

Mathematics

1 answer:

expeople1 [14]3 years ago

7 0

Answer:

6 schedules

Step-by-step explanation:

First, decide if this situation describes a combination or a permutation by looking at the significance of order. Consider a specific example where the letters A – C represent the 3 different pitchers. The pitching order A, B, C is different from the pitching order B, C, A because the players will be pitching at different times. Therefore, this situation describes a permutation. Use the formula for finding the number of permutations when the number of pitchers is 3, so n = 3, and all 3 are taken at a time, so r = 3 as well.

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Una recta con pendiente -2 ´pasa por el punto P(5, -1). La abscisa del punto Q que está en esa recta es 1. Encuentre la ordenada

oksian1 [2.3K]

Answer:

La ordenada de Q es 7.

Step-by-step explanation:

La ecuación de una recta es:

y = a*x + b

donde a es la pendiente y b es la ordenada al origen.

Para este problema, sabemos que la pendiente es -2

Entonces:

a = -2

y = -2*x + b

También sabemos que esta recta pasa por el punto (5, -1)

Esto significa que cuando evaluamos la ecuación en x = 5, y toma el valor y = -1

Si reemplazamos esos valores en la ecuación, obtenemos:

-1 = -2*5 + b

-1 = -10 + b

-1 + 10 = b

9 = b

Entonces la ecuación de la recta es:

y = -2*x + 9

Sabemos que el punto Q está en la línea, y la abscisa de este punto es 1.

Entonces este punto es Q (1, k)

donde k es la ordenada de este punto.

Porque nuestra línea también pasa por este punto, podemos concluir que cuando x = 1, y = k

Reemplazando eso en la ecuación tenemos:

k = -2*1 + 9 = -2 + 9 = 7

k = 7

La ordenada de Q es 7.

7 0

3 years ago

You want to make a rectangular banner that is 18ft. Long with a trim around the entire border of the banner . You have no more t

lys-0071 [83]

Answer:

6 ft

Step-by-step explanation:

Given that:

Length of rectangular banner = 18 ft

Total trim of banner available = 48 ft

To find:

Possible widths of the banner = ?

Solution:

Maximum trim available of the banner around the entire border of the banner = 48 ft

i.e. we are given the total perimeter of the rectangular banner.

Formula for perimeter of a rectangle is given as:

$Perimeter = 2 \times (Length + Width)$

Putting the values of perimeter and length to find the value of width.

$48 = 2 \times (18 + Width)\\\Rightarrow 48 =36+2 \times Width\\\Rightarrow 2 \times Width = 48-36\\\Rightarrow 2 \times Width = 12\\\Rightarrow \bold{Width = 6\ ft}$

So, width possible is <em>6ft.</em>

3 0

3 years ago

The Measure of the largest angle of a triangle is 40° more than the measures of the smallest angle, and the measures of the rema

gtnhenbr [62]

Answer:

40, 60 and 80 degrees.

Step-by-step explanation:

Let the smallest angle be x degrees. Then:

The 3 angles are x, x + 40 and x + 20.

As there are 180 degrees in a triangle:

x + x + 40 + x + 20 = 180

3x = 180 -40--20 = 120

x = 40 degrees.

The other 2 angles are 60 and 80 degrees.

6 0

3 years ago

Read 2 more answers

Determine the value of y, if x is 6.<br> y = |x|-1<br> Answer:

Karolina [17]

Answer:

Step-by-step explanation:

8 0

3 years ago

K is between J and M. L is between K and M. M is between K and N. If JN = 30, KM = 8, and JK = KL = LM, what is MJ?

erica [24]

Answer:

Step-by-step explanation:

MJ IS 18 RHIS IS YOUR CORRECT ANSWER

8 0

3 years ago