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nasty-shy
1 month ago
8

A tennis coach divides her 9-player squad into three 3-player groups with each player in only one group. How many different sets

of three groups can be made?
Mathematics
1 answer:
PIT_PIT [12.4K]1 month ago
7 0

Answer:

3

Step-by-step explanation:

The coach organizes her 9 players into groups of 3. Therefore, she has a total of 9 players and wants to group them in sets of 3.

To determine how many groups of three can be formed, we divide the total players by 3. This gives us:

9 / 3 = 3 groups

Thus, there will be 3 groups of 3 players each.

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Which of the following shapes can NOT be created by revolving a two-dimensional figure around an axis? There can be more than 1.
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Answer:

A. Cone

D. Rectangular Prism

E. Cylinder

F. Sphere

Step-by-step explanation:

A rectangular prism is defined as a three-dimensional solid shape with six rectangular faces. It is commonly known as a cuboid. It cannot be formed from two-dimensional figures. A sphere is an example of a three-dimensional circular object. The circumference gives it its distinct shape, which also cannot be constructed using two-dimensional forms.

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21 day ago
Kayla says that the point labeled C in the diagram below is the center. Raymond says that point C is the radius. A sphere. The c
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Answer:

Kayla is right; the center constitutes a fixed point located at the sphere's core.

Step-by-step explanation:

Kayla is indeed correct, whereas Raymond is mistaken since a point itself cannot represent a radius; a radius is defined as the line segment stretching from the center to the surface.

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27 days ago
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Part 1: Graph piecewise functions from tables and equations. Isabel sells new and used mystery novels online. Her customers are
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2 months ago
Billy Jo's school is selling tickets to a Fall Festival. On the first day of ticket sales the school sold 3 adult ticket and 8 s
PIT_PIT [12445]
Y = 6 Here’s a step-by-step explanation: On the initial day of ticket sales, the school sold 3 adult tickets and 8 student tickets for a total of $72. On the following day, the school collected $152 from 7 adult tickets and 16 student tickets. What is the price of a student ticket? Day 1: 3x + 8y = 72 Day 2: 7x + 16y = 152 This leads to a system of equations. By manipulating these equations, we find: Ultimately, y = 6. If you wish to continue from this point, substituting y into the equation will give the value for x.
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1 month ago
The computers of six faculty members in a certain department are to be replaced. Two of the faculty members have selected laptop
lawyer [12517]

Answer:

a. \frac{1}{15}

b. \frac{2}{5}

c. \frac{14}{15}

d. \frac{8}{15}

Step-by-step explanation:

There are four desktop computers and two laptops.

On a specific day, we will set up 2 of these computers.

To find:

a. What is the probability that both selected computers are laptops?

b. What is the probability that both computers are desktops?

c. What is the probability that at least one computer is a desktop?

d. What is the probability that at least one of each type of computer is included?

Solution:

Using the probability formula for event E:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

a. The number of successful outcomes for both computers being laptops = _2C_2 = 1

Total possible outcomes = 15

The needed probability is \frac{1}{15}.

b. The successful outcomes for both being desktop computers = _4C_2=6

Total possible outcomes = 15

The required probability is \frac{6}{15} = \frac{2}{5}.

c. For at least one desktop:

Two scenarios exist:

1. 1 desktop and 1 laptop:

Successful outcomes = _2C_1\times _4C_1 = 8

2. Both are desktops:

Successful outcomes = _4C_2=6

Total successful outcomes = 8 + 6 = 14

The needed probability is \frac{14}{15}.

d. 1 desktop and 1 laptop:

Successful outcomes = _2C_1\times _4C_1 = 8

Total outcomes = 15

The required probability is \frac{8}{15}.

8 0
1 month ago
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