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Artist 52 [7]
3 years ago
14

Find the value for the given variables. Give the variables in simplest radical form.

Mathematics
2 answers:
harina [27]3 years ago
5 0

x = 7√3 & y = 14

..................................

Svetach [21]3 years ago
3 0

\huge\boxed{ \boxed{\mathrm{ \underline{Answer}࿐  }}}

The given triangle is a right angled triangle,

so let's apply trigonometry here :

  • \sin(30)   =  \dfrac{7}{y}

  • \dfrac{1}{2}  =  \dfrac{7}{y}

  • y = 7 \times 2

  • y = 14 \:  \: units

Now,

  • \cos(30)  =  \dfrac{x}{y}

  • \dfrac{ \sqrt{3} }{2}  =  \dfrac{x}{14}

  • x =  \dfrac{14 \sqrt{3} }{2}

  • x = 7 \sqrt{3}

  • x = 12.12 \:  \: units

_____________________________

\mathrm{ ☠ \: TeeNForeveR \:☠ }

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Answer:

a. <u>Yes, there are 10 independent trials, each with exactly two possible outcomes, and a constant probability associated with each possible outcome.</u>

b. <u>The probability is 0.2029 or 20.29%</u>

c. <u>The probability is 0.2029 or 20.29%</u>

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<u>a. Yes, there are 10 independent trials, each with exactly two possible outcomes, and a constant probability associated with each possible outcome.</u>

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x Pr[X = x] Pr[X ≤ x]

0 0.0000 0.0000

1 0.0002 0.0002

2 0.0016 0.0017

3 0.0095 0.0112

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5 0.1059 0.1555

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9 0.1176 0.9729

10 0.0271 1.0000

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c. If 69.7% of 18-20 years old consumed alcoholic beverages in 2008, therefore, 30.3% did not and the binomial distribution table is:

Binomial distribution (n=10, p=0.303)

 f(x) F(x) 1 - F(x)

x Pr[X = x] Pr[X ≤ x]

0 0.0271 0.0271

1 0.1176 0.1447

2 0.2301 0.3748

3 0.2668 0.6416

4 <u>0.2029</u> 0.8445

5 0.1059 0.9504

6 0.0384 0.9888

7 0.0095 0.9983

8 0.0016 0.9998

9 0.0002 1.0000

10 0.0000 1.0000

<u>The probability is 0.2029 or 20.29%</u>

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x Pr[X = x] Pr[X ≤ x]

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1 0.0294 0.0319

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3 0.3109 0.4779

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P(1) + P (2) + P(3) + P(4) + P (5) = 0.0294 + 0.1351 + 0.3109 + 0.3576 + 0.1645

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