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MAVERICK [17]
3 years ago
12

How many different nine player batting orders can be chosen from a baseball team of 16?

Mathematics
1 answer:
lawyer [7]3 years ago
4 0
This problem is basically _{16}P_9

_nP_r = \frac{n!}{(n - r)!}

If I plug in n = 16 and r = 9

\frac{16!}{(16-9)!} = \frac{16!}{7!} = 4151347200

So there are 4151347200 different nine player batting orders that can be chosen from a baseball team of 16 :)
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38. At night, a driver should dim his headlights when an oncoming vehicle comes within:
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8 0
3 years ago
8w-15=57 two step equations
insens350 [35]

Answer:

w=9

Step-by-step explanation:

Our equation is: 8w-15=57

Add 15 to both sides

-15 is now gone because we added 15 so it would be zero

and we have 72 because 15 plus 57 is 72

Now we have:

8w=72

Divide by 8 on both sides

8w cancels out to just w

and 72 divided by 8 is 9

And you're left with:

w=9

       

7 0
3 years ago
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4 0
3 years ago
Read 2 more answers
Write an equation In slope intercept form for the line that is parallel to the given line and that passes through the given poin
ludmilkaskok [199]

The equation of the parallel line in slope-intercept form is;

y = \frac{5}{2} x - \frac{25}{2}

Step-by-step explanation:

Let us revise some facts about parallel lines

The equations of two parallel lines have:

  • Same slopes
  • Different y-intercept

The slope-intercept form of the equation of a line is y = m x + b, where m is the slope of the line and b is the y-intercept

The given line has equation 5x - 2y = 10

Put it in the form of y = m x + b to find its slope

∵ 5x - 2y = 10

- Subtract 5x from both sides

∴ -2y = 10 - 5x

- Divide to sides by -2

∴ y = -5 + \frac{5}{2} x

∴ y =  \frac{5}{2} x - 5

- The value of m is the coefficient of x

∴ m = \frac{5}{2}

∴ The slope of the given line is \frac{5}{2}

∵ Parallel lines have same slopes

∴ The slope of the parallel line is m = \frac{5}{2}

- Substitute the value of m in the form of the equation

∴ The equation of the parallel line is y = \frac{5}{2} x + b

To find b substitute x and y in the equation by the coordinates of any point lies on the line

∵ The parallel line passes through point (3 , -5)

- Substitute x and y by the coordinates of the point (3 , -5)

∵ x = 3 and y = -5

∴ -5 = \frac{5}{2} (3) + b

∴ -5 = \frac{15}{2} + b

- Subtract \frac{15}{2} from both sides

∴ b = \frac{-25}{2}

∴ The equation of the parallel line is y = \frac{5}{2} x + \frac{-25}{2}

∴ The equation of the parallel line is y = \frac{5}{2} x - \frac{25}{2}

The equation of the parallel line in slope-intercept form is;

y = \frac{5}{2} x - \frac{25}{2}

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/8628615

#LearnwithBrainly

5 0
3 years ago
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