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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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Step-by-step explanation:

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Thabo invests R50000 at the rate of 5% per annum compound interest periodically every six months.How many years does it take to
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3 years ago
автобус прошел 220 км за 27/7 часа.Сколько километров пройдет автобус за 54/7часа с той же скоростью?
egoroff_w [7]

Отвечать:

440 км

Пошаговое объяснение:

Учитывая, что :

Пройденное расстояние за 27/7 часов = 220 км

Расстояние, которое необходимо преодолеть за 54/7 часов, составит x

Следовательно, мы можем настроить перекрестное умножение:

27/7 = 220

54/7 = х

Крест умножить

27/7 х = 220 * 54/7

27x / 7 = 11880/7

3.8571428x = 1697.1428

х = 1697,1428 / 3,8571428

х = 439,99999

x = 440 км

Таким образом, за 54/7 часов будет преодолено расстояние 440 км.

4 0
3 years ago
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Leto [7]

Area inside the semi-circle and outside the triangle is  (91.125π - 120) in²

Solution:

Base of the triangle = 10 in

Height of the triangle = 24 in

Area of the triangle = \frac{1}{2} bh

                                $=\frac{1}{2} \times 10\times24

Area of the triangle = 120 in²

Using Pythagoras theorem,

\text{Hypotenuse}^2=\text{base}^2+\text{height}^2

\text{Hypotenuse}^2=10^2+24^2

\text{Hypotenuse}^2=100+576

\text{Hypotenuse}^2=676

Taking square root on both sides, we get

Hypotenuse = 23 inch = diameter

Radius = 23 ÷ 2 = 11.5 in

Area of the semi-circle = \frac{1}{2}\pi r^2

                                      $=\frac{1}{2} \pi \times (13.5)^2

Area of the semi-circle = 91.125π in²

Area of the shaded portion = (91.125π - 120)  in²

Area inside the semi-circle and outside the triangle is  (91.125π - 120)  in².

5 0
3 years ago
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