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Sergeeva-Olga [200]
1 year ago
13

the basketball coach is selecting from nine starters who will be the first three batters how many different batters lineups can

the coach consider for the first three up?
Mathematics
1 answer:
Sav [38]1 year ago
8 0

We know that

• The total is nine starters.

,

• The coach wants to choose three.

Given that the player cannot include repetition, we solve this problem as a combination because the order does not matter.

C^r_n=\frac{n!}{r!(n-r)!}

Where n = 9, and r = 3. Let's replace these values.

C^3_9=\frac{9!}{3!(9-3)!}=\frac{9!}{3!\cdot6!}=\frac{9\cdot8\cdot7\cdot6!}{3\cdot2\cdot1\cdot6!}=\frac{504}{6}=84<h2>Hence, there are 84 different ways to choose the first three.</h2>
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he diameter of an ice skating rink is 44 feet. In terms of π, what is the area of the rink to the nearest square yard? (9 ft2 =
crimeas [40]

Answer:

The area of the circular ring is 53.73 π  sq. yards

Step-by-step explanation:

The diameter of the skating ring = 44 ft

Diameter =  2 x Radius

⇒Radius of the ring  = 44 / 2  = 22 ft

Now, 1 ft = 0.333333 yards

⇒22 ft  = 22 x 0.333333 yards = 7.3333 yards

Now, Area of the circular Ring = \pi r^2\\

or, A = \pi (7.33)^2

=  53.73 π  sq. yards

or, the area of the circular ring is 53.73 π  sq. yards

6 0
3 years ago
A water container is 1/8 full. 35 litres if water are now poured into the container. The container is now 1/4 full.
Aloiza [94]

Answer:

<em>The container can hold 280 liters of water.</em>

Step-by-step explanation:

<u>Proportions</u>

The water originally fills 1/8 of a container. Then 35 lt of water are poured into the container and now it's 1/4 full.

If we subtract the final portion of the tank minus the original portion of the container, we obtain the portion that was poured into.

\mathrm{Portion\ poured }=\frac{1}{4}-\frac{1}{8}=\frac{2}{8}-\frac{1}{8}=\frac{1}{8}

If 35 liters of water is 1/8 of the tank, then it can hold 35*8 = 280 liters.

The container can hold 280 liters of water.

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3 years ago
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A U B = set of all elements that are in both A or B:

A U B = {2, 3, 4, 5, 6, 7}

Here is a picture to see our answer.

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