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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.

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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olya-2409 [2.1K]

Answer:

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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.

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

$x_{i}$ 0 1 2

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

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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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