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3 years ago

2 coins are tossed 200 times. find the probability of getting 0 head

Mathematics

2 answers:

Katyanochek1 [597]3 years ago

8 0

Step-by-step explanation:

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Lady_Fox [76]3 years ago

7 0

Answer:

The probability of getting o heads is 3.125

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Convert x2 + y2 -4x = 0 to polar form.

Bingel [31]

Answer:

$r(r-4\cos \theta)=0$

Step-by-step explanation:

We are given the following equation:

$x^2 + y^2 -4x = 0$

We have to convert it into polar form.

We put

$x = r \cos \theta\\y = r\sin \theta$

Putting values, we get:

$x^2 + y^2 -4x = 0\\(r\cos \theta)^2 + (r\sin \theta)^2 - 4(r\cos \theta) = 0\\r^2(\cos^2 \theta + \sin^2 \theta) - 4r\cos \theta = 0\\r^2 - 4r\cos \theta = 0\\r(r-4\cos \theta)=0$

is the required polar form.

7 0

3 years ago

Rewrite 10x - 5y = -30 in slope-intercept form.<br> somebody help me wit dis

Anna [14]

Answer:

y = 2x + 6

Step-by-step explanation:

10x - 5y = -30

-5y = -10x - 30

y = 2x + 6

6 0

2 years ago

Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1

IceJOKER [234]

Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

<u>Step-by-step explanation:</u>

Here we have , $cosxtanx - 2 cos^2 x=-1$ . Let's solve :

⇒ $cosxtanx - 2 cos^2 x=-1$

⇒ $cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1$

⇒ $sinx = 2 cos^2 x-1$

⇒ $sinx = 2 (1-sin^2x)-1$

⇒ $sinx = 1-2sin^2x$

⇒ $2sin^2x+sinx-1=0$

By quadratic formula :

⇒ $sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}$

⇒ $sinx = \frac{-1 \pm3}{4}$

⇒ $sinx = \frac{1}{2} , sinx =-1$

⇒ $sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}$

⇒ $x=\frac{\pi}{6} , x=\frac{3\pi}{2}$

But at $x=\frac{3\pi}{2}$ we have equation undefined as $cos\frac{3\pi}{2}=0$ . Hence only solution is :

⇒ $x=\frac{\pi}{6}$

Since , $sin(\pi -x)=sinx$

⇒ $x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}$

Now , General Solution is given by :

⇒ $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$

Therefore , Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

3 0

3 years ago

That copy machine is quick! It copied 90 pages in 3 minutes. How many copies can it make in 1 minute?

earnstyle [38]

Answer:

30 copies.

Step-by-step explanation:

Let's represent p as pages and c as copies

90p = 3 m

m = 90/3

m = 30

7 0

2 years ago

Read 2 more answers

Chet's father is 5 times as old as Chet. In 6 years, his father will

zaharov [31]

Answer: Chet is 6 years old now

Step-by-step explanation:

Chet is 6 years old now and his father is 5 x 6 years = 30 years old now.

In 6 years, Chet will be 12 years old, so his father will be 3 x 12 years old = 36 years old.

6 0

2 years ago