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denis23 [38]
3 years ago
14

How many different ways can a coach select the captain and co-captain of a team from a group of 20 people?

Mathematics
2 answers:
sergij07 [2.7K]3 years ago
5 0
The coach can select the captain in 20 ways (i.e. from all the available 20 players), and he can select the co-captain in 19 ways (i.e. after selecting the captain, there will be 19 people left).
Therefore, the coach can select the captain and the co-captain in 20 x 19 = 380 ways.
Thepotemich [5.8K]3 years ago
3 0

Answer:

Step-by-step explanation:

1. Number of peoples available to choose from = 20

\text{Ways of selecting the captain from 20 people = }_{1}^{20}\textrm {C}=20

After selecting the captain number of people left among which co captain can be selected = 20 - 1 = 19

\text{Ways of selecting the co captain from 19 people = }_{1}^{19}\textrm {C}=19

Hence, Number of ways a coach select the captain and co-captain of a team from a group of 20 people = 20 × 19 = 380

Therefore, The correct option is C. 380

2. Total number of players = 7

Number of players to be selected = 5

\text{So, number of ways of selecting 5 players out of 7 = }_{5}^{7}\textrm {C}=21

Therefore, The correct option is A. 21

3. Total number of outcomes = 20

The digits 1, 2, 3, 4, 5, 6 represent the student who make a C

Number of students who make a C at least 3 times = 13

\bf\textbf{Required Probability = }\frac{13}{20}

Therefore, The correct option is D

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A sample with a mean of m = 40 and a variance of s2 = 20 has an estimated standard error of 1 point. how many scores are in the
tamaranim1 [39]

The correct option is 20.

The score found for the sample is 20.

<h3>What is Standard error?</h3>

A standard error is a statistic that is applied to test the distribution of data. This metric is comparable to standard deviation. We can calculate the standard error if we know the sample size & standard deviation. It assesses the mean's precision.

Now, according to the question;

Sample mean; \bar{x}=40

Sample variance; s^{2}=20

Thus, s=\sqrt{20}=4.47

Standard error SE = 1

The amount of scores with in sample must be determined here.

The standard error formula is as follows:

S E=\frac{s}{\sqrt{n}}

We might rearrange the formula as follows:

\begin{aligned}\sqrt{n} &=\frac{s}{S E} \\n &=\left(\frac{s}{S E}\right)^{2}\end{aligned}

Substituting the values;

\begin{aligned}&n=\left(\frac{4.47}{1}\right)^{2} \\&n=19.98\end{aligned}

The sample's number of scores n = 19.98 = 20 (round up)

Therefore, the scores are in the sample is 20.

To know more about the Standard error, here

brainly.com/question/14467769

#SPJ4

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2 years ago
In a positive correlation, __________.
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Im pretty sure its b
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a rectangle room has an area of 400 square feet. the length is 7 feet less than twice the width. find the dimensions of the room
Arte-miy333 [17]
2800 x 7 That’s what I’m guessing
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3 years ago
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