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pogonyaev
3 years ago
6

A baseball manager has 11 players of the same ability. How many 9 player starting lineups can he

Mathematics
1 answer:
Lana71 [14]3 years ago
4 0

Answer:

55

Step-by-step explanation:

Combination will be used here as teams are a group.

So using combination:

<em>No. of combination of 'n' things taken 'r' at a time</em>

<em>\limits^n {C} \,_r= \frac{n!}{r! (n-r)!}</em>

here n = 11 ,

r = 9

11<em>C</em>9 <em>=  \frac{11!}{9! (11-9)!} = \frac{11!}{9! (2!)}</em>

11<em>C</em>9<em> =</em><em> 55</em>

<em>Which are the possible 9 player starting lineups</em>

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Addison paid $1.29 for gum and $0.89 for a package of notebook paper . She gave the cashier a $5 bill. If the tax was $0.14, how
GenaCL600 [577]
Ok....

$1.29 + $0.89 = $2.18

Subtract $2.18 from $5.00 and you get: $2.82

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7 0
3 years ago
The coordinate plane below represents a town. Points A through F are farms in the town.
prohojiy [21]

Part A;
There are many system of inequalities that can be created such that only contain points D and E in the overlapping shaded regions.

Any system of inequalities which is satisfied by (-4, 2) and (-1, 5) but is not satisfied by (1, 3), (3, 1), (3, -3) and (-3, -3) can serve.
An example of such system of equation is
x < 0
y > 0
The system of equation above represent all the points in the second quadrant of the coordinate system.The area above the x-axis and to the left of the y-axis is shaded.


Part B:It can be verified that points D and E are solutions to the system of inequalities above by substituting the coordinates of points D and E into the system of equations and see whether they are true.
Substituting D(-4, 2) into the system
we have:
-4 < 0
2 > 0
as can be seen the two inequalities above are true, hence point D is a solution to the set of inequalities.
Also, substituting E(-1, 5) into the system we have:
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as can be seen the two inequalities above are true, hence point E is a solution to the set of inequalities.

Part C:Given that chicken can only be raised in the area defined by y > 3x - 4.
To identify the farms in which chicken can be raised, we substitute the coordinates of the points A to F into the inequality defining chicken's area.
For point A(1, 3): 3 > 3(1) - 4 ⇒ 3 > 3 - 4 ⇒ 3 > -1 which is true
For point B(3, 1): 1 > 3(3) - 4 ⇒ 1 > 9 - 4 ⇒ 1 > 5 which is false
For point C(3, -3): -3 > 3(3) - 4 ⇒ -3 > 9 - 4 ⇒ -3 > 5 which is false
For point D(-4, 2): 2 > 3(-4) - 4; 2 > -12 - 4 ⇒ 2 > -16 which is true
For point E(-1, 5): 5 > 3(-1) - 4 ⇒ 5 > -3 - 4 ⇒ 5 > -7 which is true
For point F(-3, -3): -3 > 3(-3) - 4 ⇒ -3 > -9 - 4 ⇒ -3 > -13 which is true
Therefore, the farms in which chicken can be raised are the farms at point A, D, E and F.
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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