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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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Answer:

7x7/6x4

Step-by-step explanation:

5 0
3 years ago
The lines y1 = 2x - 6, y2 = -3x + 4, y3 = -1/2x + 4 intersect to form the sides of a right triangle. Find the perimeter and area
tino4ka555 [31]

The area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units

<h3>Determining the perimeter and area of the triangle giving line equation</h3>

In order to determine the area and perimeter of the lines, we will plot the giving lines, determine the point of intersection and then use the Pythagoras theorem to determine the dimension of the right triangle.

The points of intersection of the line are;

(x₁, y₁) = (- 0.4, 5.2),

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(x₃, y₃) = (0, 4)

Determine the base

b² = c² -a²

b = √(-0.8)² + (4 - 4.4)²

b = 2√5 / 5

Determine the height

h = √((- 0.4) - (- 0.8))² + (5.2 - 4.4)²

height = 2√5 / 5

For the hypotenuse

r = √2 · b

r = 2√10 / 5

<h3>Determine the Perimeter and area</h3>

Perimeter = s1+s2+s3

Perimeter = 2√5 / 5 + 2√5 / 5 + 2√10 / 5

Perimeter = (2√10 + 4√5) / 5 units

<u>For the area</u>

area = 1/2* base * height

A = 0.5 · (2√5 / 5) · (2√5 / 5)

A = 2/5 square units

Hence the area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units

Learn more on area and perimeter of triangles here: brainly.com/question/12010318

#SPJ1

3 0
1 year ago
Choose the correct rule for the sequence: 2, 4, 8, 16,... *
lina2011 [118]

Answer:

x2

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Step-by-step explanation:

6 0
3 years ago
A president, treasurer, and secretary, all di erent, are to be chosen from a club consisting of 12 people (whose names are I, J,
Ierofanga [76]

Answer:

There are 220 choices

Step-by-step explanation:

Given

People = 12

Selection =3 (President, Treasurer and Secretary)

Required

Determine number of selection (if no restriction)

This is calculated using the following combination formula:

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

Where

n = 12

r= 3

So, we have:

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

^{12}C_3 = \frac{12!}{(12 - 3)!3!}

^{12}C_3 = \frac{12!}{9!3!}

^{12}C_3 = \frac{12*11*10*9!}{9!3!}

^{12}C_3 = \frac{12*11*10}{3!}

^{12}C_3 = \frac{12*11*10}{3*2*1}

^{12}C_3 = \frac{12*11*10}{6}

^{12}C_3 = 2*11*10

^{12}C_3 = 220\ ways

<em>There are 220 choices</em>

8 0
2 years ago
Question: Ned took a test with 25 questions. He lost 4 points for each of the 6 questions he got wrong and earned an additional
Dima020 [189]
Your thoughts are correct; Ned loses 14 points overall.

The reason the correctly answered questions do not factor into the answer is because that is not what the question is asking. Correct answers are not even mentioned :)
6 0
3 years ago
Read 2 more answers
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