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3 years ago

You flip a coin twice. What is the probability it lands heads-up both times?

Mathematics

2 answers:

svetlana [45]3 years ago

6 0

Answer:

$$\frac{1}{4}$

Step-by-step explanation:

Each time you a flip a coin, there is a $\frac{1}{2}$ chance it lands on heads. Therefore, after flipping a coin twice, the probability that it lands on heads both times is:

$\frac{1}{2}\cdot \frac{1}{2}=\boxed{\frac{1}{4}}$

harina [27]3 years ago

3 0

Answer: 1/4

Step-by-step explanation: 1/2 chance it shows heads if you do it once so: 1/2 times 1/2

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PLEASE HELP ME I'M GIVING 20PTS AND MARKING BRAINLIEST!!!!

pishuonlain [190]

Using a trigonometric identity, it is found that the values of the cosine and the tangent of the angle are given by:

$\cos{\theta} = \pm \frac{2\sqrt{2}}{3}$

$\tan{\theta} = \pm \frac{\sqrt{2}}{4}$

<h3>What is the trigonometric identity using in this problem?</h3>

The identity that relates the sine squared and the cosine squared of the angle, as follows:

$\sin^{2}{\theta} + \cos^{2}{\theta} = 1$

In this problem, we have that the sine is given by:

$\sin{\theta} = \frac{1}{3}$

Hence, applying the identity, the cosine is given as follows:

$\cos^2{\theta} = 1 - \sin^2{\theta}$

$\cos^2{\theta} = 1 - \left(\frac{1}{3}\right)^2$

$\cos^2{\theta} = 1 - \frac{1}{9}$

$\cos^2{\theta} = \frac{8}{9}$

$\cos{\theta} = \pm \sqrt{\frac{8}{9}}$

$\cos{\theta} = \pm \frac{2\sqrt{2}}{3}$

The tangent is given by the sine divided by the cosine, hence:

$\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}$

$\tan{\theta} = \frac{\frac{1}{3}}{\pm \frac{2\sqrt{2}}{3}}$

$\tan{\theta} = \pm \frac{1}{2\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}$

$\tan{\theta} = \pm \frac{\sqrt{2}}{4}$

More can be learned about trigonometric identities at brainly.com/question/24496175

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2 years ago

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The numb

vfiekz [6]

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Step-by-step explanation:

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3 years ago

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3 years ago

I am trying to figure this question: <br><br> 1 + tan^2A = Sec^2A

chubhunter [2.5K]

Answer:

see explanation

Step-by-step explanation:

Using the Pythagorean identity

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3 years ago

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Vitek1552 [10]

Answer:

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Step-by-step explanation:

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