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vovikov84 [41]
3 years ago
13

Use the figure to find the trigonometric ratio below. Express the answer as a decimal rounded to the nearest ten-thousandth.

Mathematics
2 answers:
Ira Lisetskai [31]3 years ago
8 0

Answer:

The correct option is 1.

Step-by-step explanation:

Given information: AD = 25, CD = 5, DB = 1 and CD⊥AB.

According to the Pythagoras theorem,

hypotenuse^2=base^2+perpendicular^2

In triangle BCD,

CB^2=DB^2+CD^2

CB^2=1^2+5^2

CB^2=26

Taking square root both sides.

CB=\sqrt{26}

In a right angled triangle,

\sin\theta=\frac{opposite}{hypotenuse}

\sin B=\frac{CD}{CB}

\sin B=\frac{5}{\sqrt{26}}

\sin B=0.980580675691

\sin B\approx 0.9806

Therefore the correct option is 1.

OlgaM077 [116]3 years ago
6 0

Answer:

0.9806 is the correct answer.

Step-by-step explanation:

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Step-by-step explanation:

Given that,

Number of kittens in a group are 10. Out of these 5 are female.

To find:- (a) create a probability model of male kitten chosen.

    So,  total number of kitten = 10

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then, Number of male kitten = 10-5= 5

Now total number of ways to choosing two kittens from group of 10 = ^{10} C_{2}

                                                                                                                 = \frac{10!}{2!\times8!}

                                                                                                                 = 45

for choosing (i) No male P(x=0) = P(Two female) =  \frac{^{5} C_{2}}{45}

                                                                           = \frac{2}{9}

                     (ii) 1 male P(x=1) = P(1 male and 1 female) = \frac{^{5} C_{1}\times^{5} C_{1}}{45} =  \frac{25}{45} =\frac{5}{9}

                     (iii) 2 male P(x=2)= P(2 male) =\frac{^{5} C_{2}}{45} =  \frac{2}{9}

      x_{i}                             0                     1                      2

P(X=x_{i})                           \frac{2}{9}                      \frac{5}{9}                      \frac{2}{9}

(b) what is expected number of male kittens chosen ?

    Expected number of male kitten E(x) =  o\times \frac{2}{9} + 1\times \frac{5}{9} + 2\times\frac{2}{9}

                                                                  = 1

(c) what is standard deviation ?

                              \sigma(x) = \sqrt{ (E(x^{2} )-(Ex)^{2})

No,                          

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