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astra-53 [7]
2 years ago
15

Which expression can be used to find the area of triangle rst? (8 ∙ 4) - one-half (10 12 16) (8 ∙ 4) - (10 12 16) (8 ∙ 4) - one-

half (5 6 8) (8 ∙ 4) - (5 - 6 - 8)
Mathematics
2 answers:
Ivenika [448]2 years ago
4 0

The area of the triangle RTS will be (8×4) - 1/2 (16+12+10). Then the correct option is A.

<h3>What is Geometry?</h3>

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

We start by drawing a rectangle around the triangle as shown in the diagram below.

Area of the RST = area of the rectangle - (area of triangle A + area of triangle B + area of triangle C)

\rm Area\ of\ RST = (8 \times 4) - [(\dfrac{1}{2}  \times 8 \times 2) + (\dfrac{1}{2}  \times 4 \times 3) + (\dfrac{1}{2}  \times 5\times 2)]\\\\\\Area\ of\ RST = (8 \times 4) - \dfrac{1}{2} (16 + 12 + 10)

The area of the triangle RTS is (8×4) - 1/2 (16+12+10).

More about the geometry link is given below.

brainly.com/question/7558603

sp2606 [1]2 years ago
3 0

Answer:Option A

Step-by-step explanation:

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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:

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#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

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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

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