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Stolb23 [73]
2 years ago
5

The table shows a relation between x and y. is the relation a function, and why?

Mathematics
1 answer:
notsponge [240]2 years ago
3 0
<h2>Function Definition</h2>

A function is a relation in which there is only one y-value for every x-value.

If we given an input of 3 for x, for example, we would only get one output for y, like 1, for example.

<h2>Answer</h2>

If we look at the table, we can see that the x-value of 3 gives us two outputs: 7 and 9.

Therefore, this relation is not a function.

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Translate the phrase into an expression: 11 more than one third of a number
skelet666 [1.2K]
1/3x+11.
1/3 of a number can be shown as 1/3x, since the number is not identified.

We can represent 11 more as +11.
This, our expression is 1/3x+11

Hope this helps!
5 0
3 years ago
Simplify 10/16 to the lowest terms and find an equivalent fraction that has a denominator of 32.
Natalija [7]

Answer:

5/8,  20/32

Step-by-step explanation:

Divide 10/16 by 2 as that is the GCF (greatest common factor) = 5/8

To find an equivalent fraction with a denominator of 32 multiply 10/16 by 2 = 20/32

6 0
3 years ago
Read 2 more answers
Two athletic teams play a series of games; the first team to win 4 games is declared the overall winner. Suppose that one of the
kodGreya [7K]

Answer:

  • p=0.7103 (4-game series)
  • p=0.6480 (2-game series)

Step-by-step explanation:

Let X be the random variable equal the the first 4 straight wins. An overall win for the stronger team implies a negative binomial function with the parameters  n=4, p=0.6:

P(X=4)={{i-1}\choose {4-1}}0.6^40.4^{i-4},\  i=4,5,6,7

#We find probabilities for the different values of i:

P(X=4)={3\choose 3}0.6^4=0.1296\\\\P(X=5)={4\choose 3}0.6^40.4^1=0.2074\\\\P(X=6)={5\choose 3}0.6^40.4^2=0.2074\\\\P(X=4)={6\choose 3}0.6^40.4^3=0.1659

Hence, probability of the stronger team winning overall is:

=P(X=4)+P(X=5)+P(X=6)+P(X=7)\\\\=0.7103

#Define Y as the random variable for winning 2/3 games.:

P(Y=2)={1\choose 1}0.6^2=0.3600\\\\P(Y=3)={2\choose3}0.6^20.4=0.2880\\\\P(win)=0.2880+0.3600=0.6480

Hence, probability of the stronger team winning in 2 out 3 game series is 0.6480

The stronger team has a higher chance of winning in a 4-game series(0.7103>0.6480)

8 0
3 years ago
Can anybody please help?
seropon [69]

Area of the shaded region = Area <span>of a square - Area of a circle
</span>
Side of a square = 2r
Area of a square = (2r)² = 4r²

Area of a circle = πr²

Area of the shaded region = 4r² - πr² = r²(4-π)

3 0
3 years ago
By what factor must you multiply a number in order to triple its square root?
LiRa [457]
To solve the problem shown above you must apply the following proccedure:

 1. Let's call:

 x: a number.
 f: the factor.

 2. Then, you have:

 √fx=3√x

 3. You must clear the factor "f" to calculate its value, as below:

 √fx=3√x
 (√fx)²=(3√x)²
 fx=9x
 f=9x/x

 4. Then, the factor is:

 f=9

 5. Therefore, b<span>y what factor must you multiply a number in order to triple its square root?
</span>
 The answer is: 9 
4 0
3 years ago
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