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andrew11 [14]
3 years ago
14

The manager of a baseball team has 15 players to choose from for his 9 person batting order

Mathematics
2 answers:
Masteriza [31]3 years ago
6 0
Given the question:
The manager of a baseball team has 15 players to choose from for his 9-person batting order. How many different ways can he arrange the players in the lineup?
5,005    362,880    3,603,600    1,816,214,400

The number of was in which a smaller group is choosing from a bigger group is given by the bigger number combination the smaller number.
^nC_r= \frac{n!}{(n-r)!r!}
Here, we want to choose a 9-person batting order from a team of 15 players. This is given by:
^{15}C_9= \frac{15!}{(15-9)!9!}=\frac{15\times14\times13\times12\times11\times10\times9!}{6!\times9!}= \frac{3,603,600}{720} =5,005

omeli [17]3 years ago
3 0

Answer:

The answer is 1,816,214,400 not 5005. Just took the quiz


Step-by-step explanation:


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Maria tiene hielo en su refrigerador a 7c en cierto momento saco la cubeta del congelador y olvido guardarla nuevamente luego de
Zina [86]

La pregunta requiere que calculemos la diferencia entre la temperatura final e inicial del agua.

Responder:

4 ° C

Explicación paso a paso:

Dado que:

Temperatura inicial del agua = 7 ° C

La temperatura del agua después de 2 horas = 3 ° C

La diferencia de temperatura del agua;

Temperatura inicial - temperatura final

7 ° c - 3 ° c = 4 ° c

La diferencia de temperatura del agua es de 4 ° C

6 0
3 years ago
"!MATH!"<br> How do you solve x+2=3x-4? Please explain step-by-step.
ki77a [65]
I will give you my solution down here
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8 0
3 years ago
Carl’s square swimming pool has a volume of 1000 cubed feet. What are dimensions of his pool?
RUDIKE [14]

Answer: the answer is down bellow

Step-by-step explanation:

x3-10oo Dimensions ft each S.

5 0
3 years ago
Please help thanks so much
Goshia [24]

Answer:

<em>y = (-4/3)*x + 7</em>

<em />

Step-by-step explanation:

The point-slope form of the equation of a line is: <em>y = a*x + b </em>

In the above equation, <em>a </em>is the slope of the line representing the equation in the graph and y is the function of x [y = y(x)]

The given line has a slope of -4/3, so that <em>a = -4/3 </em>

=> The equation of this line has a form as following: <em>y = (-4/3)*x + b (1)</em>

<em />

As the line passes through the point (9; -5) (in which: x = 9; y = -5). Replace x =9 and y = -5 into the equation (1), we have:

<em>y = (-4/3)*x + b</em>

<em>=> -5 = (-4/3)*9 + b </em>

<em>=> -5 = -12 + b </em>

<em>=> b = 7</em>

<em />

So that the equation in point-slope form of the given line is:

<em>y = (-4/3)*x + 7</em>

<em />

6 0
4 years ago
△ABC is a right isosceles triangle, the centers of two arcs are the midpoint of AB
mel-nik [20]

Answer:

  0

Step-by-step explanation:

Let's define 3 areas:

  • S = area of semicircle with radius 6 in (diameter AB)
  • T = area of quarter circle with radius 6√2 in (radius AC)
  • U = area of triangle ABC (side lengths 6√2)

The white space between the "moon" and the triangle has area ...

  white = T - U

Then the area of the "moon" shape is ...

  moon = S -white = S -(T -U) = S -T +U

The area we're asked to find is ...

  moon - triangle = (S -T +U) -U = S -T

__

The formula for the area of a circle of radius r is ...

  A = πr²

So, ...

  S = (1/2)π(6 in)² = 18π in²

and

  T = (1/4)π(6√2 in)² = 18π in²

The difference in areas is S -T = (18π in²) -(18π in²) = 0.

There is no difference between the areas of the "moon" and the triangle.

4 0
3 years ago
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