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coldgirl [10]
1 year ago
6

There are 16 people in a running race. The first 3 people to finish the race will he given prizes. How many different ways can t

he first, second, and third place prizes be awarded?
Mathematics
1 answer:
rodikova [14]1 year ago
7 0

Answer : 3, 360 ways

Total number of people running the race = 16

We have three slot to be filled for first, second and third

Any person can take the first position irrespective of the arrangement

one out of the 16 people can come first

out of the 15 people remaining , one person can also come second remaining 14

out of the 14 people, one person can also come third

The number of ways the gift can be awarded = 16 x 15 x 14

The nummber of ways the prizes can be awarded = 3360 ways

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What is the explicit formula for the sequence?
Aleksandr [31]

Answer:

a_{n} = n - 2

Step-by-step explanation:

Note the difference between consecutive terms is constant, that is

0 - (- 1) = 0 + 1 = 1

1 - 0 = 1

2 - 1 = 1

3 - 2 = 1

This indicates the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 1 and d = 1, thus

a_{n} = - 1 + n - 1 = n - 2

7 0
3 years ago
What is meant by the term outlier? What should you do with an outlier?
saul85 [17]

Outliers are data that are in a very far distance from other values in a set of data

Once an outlier is detected in a set of data, we can do the following to them:

  • Discard the outlier
  • Change the value of the outlier with another value within close range
  • Consider the distribution given

We may have a set of data where some of the <em>values are far in distance from the majority of the data</em>. The set of such data are known as an outlier.

For example, give the set of data;

  • 2, 4, 7, 45, 8

45 can be considered as an outlier since the <em>distance of data</em><em> to all other data is</em><em> large</em><em>.</em>

Once an outlier is detected in a set of data, we can do the following to them:

  • Discard the outlier
  • Change the value of the outlier with another value within close range
  • Consider the distribution given

Learn more here: brainly.com/question/23258173

7 0
3 years ago
Will give alot of points!
Rom4ik [11]
I think you just multiply the amount of pennies for one grooming job by 9
3 0
3 years ago
Read 2 more answers
Write the product as a mixed number. 3 x 3 3/4=
Dafna1 [17]
The answer is 45/4 or 11 1/4
6 0
3 years ago
Suppose f(x)=x^2. what is the graph of g(x)=1/3 f(x)
saw5 [17]

Step-by-step explanation:

f(x) = x^2

g(x)= 1/3 f(x) = 1/3 x^2

First lets make a table for f(x)= x^2

Lets pick some numbers for x  and find out y

x           y=x^2

-3           (-3)^2 = 9

-1              1

0             0

1              1

3             9

Now we use the same x  values and make a table for g(x)

x         g(x)= \frac{1}{3} x^2

-3          g(x)= \frac{1}{3}(-3)^2=3

-1          g(x)= \frac{1}{3}(-1)^2=\frac{1}{3}

0             0

1           g(x)= \frac{1}{3}(1)^2=\frac{1}{3}

3          g(x)= \frac{1}{3}(3)^2=3

Graph the above table



6 0
3 years ago
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