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Delicious77 [7]
9 months ago
8

Find the location of Y, the midpoint of XZ X is located at (3,-9)

Mathematics
1 answer:
Levart [38]9 months ago
3 0

The location of point Y is the point -3 on the number line

Here, we want to find the location of Y

let us say the point 0 represents the origin

The coordinates of point x will be (-9,0) while the coordinates of point z will be (3,0)

To find the location of Y , we proceed to use the midpoint formula as follows;

(x,y)=\frac{x_{1\text{ }}+x_2}{2},\frac{y_{1\text{ }}+y_2}{2}

Thus, we have;

(-9 + 3)/2 , (0 + 0)/2

= -6/2 , 0

= (-3 , 0)

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3x+6=3x+6
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3x=3x
divide by 3
x=x

true

therefor all numbers work for x

there are infinite soltuions
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For the following right triangle, find the side length x
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Answer:

37

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35^2+12^2=1369

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3 years ago
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
2 years ago
(−2 − √3)(−2 + √3) simplified​
nata0808 [166]

Answer:

1

Step-by-step explanation:

To simplify this, we can use foil:

  • First: -2 × - 2 = 4
  • Outside: -2 × √3 = -2√3
  • Inside: -√3 × -2 = +2√3
  • Last: -√3 × √3 = -3

From this, we get 4 - 2√3 + 2√3 - 3 which can be simplified to 1

Hope this helps!

4 0
1 year ago
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