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Korvikt [17]
3 years ago
14

The manager of hockey team says that the probability that team win the next match is 0.5 and the probability it will lose is 0.2

. Find the probability that the team will: a ) not win b) not lose c) not draw
Mathematics
1 answer:
dybincka [34]3 years ago
3 0

Answer:

Step-by-step explanation:

The team draws with a probability of 1 = (0.5 + 0.2) = 0.3

If the team does not win then it loses or draws.

Loosing = 0.2

Draw := 0.3

P(not win) = 0.2 + 0.3 = 0.5

======================

Not lose means wins or draws.

P(not lose) = 0.5 + 0.3 = 0.8

======================

Not Draw means wins or loses

P(not draw) = 0.5 + 0.2 = 0.7

Of course all of these could be done more directly.

P(not win)= (1 - win) = 1- 0.5 = 0.5

P(not lose) =  ( 1 - lose) = 1 - 0.2 = 0.8

P(not draw) = (1 - 0.3) = 0.7

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The coordinates of the vertices of a rectangle are (−3, 4) , (7, 2) , (6, −3) , and (−4, −1) . What is the perimeter of the rect
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Find out the what is the perimeter of the rectangle .

To prove

Now as shown in the figure.

Name the coordinates as.

A(−3, 4) ,B (7, 2) , C(6, −3) , and D(−4, −1) .

In rectangle opposite sides are equal.

Thus

AB = DC

AD = BC

Formula

Disatnce\ formula = \sqrt{(x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2}}

Now the points  A(−3, 4) and  B(7, 2)

AB = \sqrt{(7- (-3))^{2} +(2- 4)^{2}}

AB = \sqrt{(10)^{2} +(-2)^{2}}

AB = \sqrt{100+4}

AB = \sqrt{104}

AB = 2\sqrt{26}\units

Thus

CD= 2\sqrt{26}\units

Now the points

A (−3, 4) , D (−4, −1)

AD = \sqrt{(-4 - (-3))^{2} +(-1- 4)^{2}}

AD = \sqrt{(-1)^{2} +(-5)^{2}}

AD = \sqrt{1 + 25}

AD = \sqrt{26}\units

Thus

BC = \sqrt{26}\units  

Formula

Perimeter of rectangle = 2 (Length + Breadth)

Here

Length = 2\sqrt{26}\ units

Breadth = \sqrt{26}\ units  

Perimeter\ of\ rectangle = 2(2\sqrt{26} +\sqrt{26})

Perimeter\ of\ rectangle = 2(3\sqrt{26})

Perimeter\ of\ rectangle = 6\sqrt{26}

\sqrt{26} = 5.1 (Approx)

Perimeter\ of\ rectangle = 6\times 5.1

Perimeter of a rectangle = 30.6 units.

Therefore the perimeter of a rectangle is 30.6 units.

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