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4 years ago

You will flip a coin five times. How many ways can you get three heads and two tails?

Mathematics

1 answer:

krok68 [10]4 years ago

6 0

Answer:

10 ways, 6th row

Step-by-step explanation:

You will flip a coin five times and get three heads and two tails. You can get it in

$C_5^3=\dfrac{5!}{3!(5-3)!}=\dfrac{1\cdot 2\cdot 3\cdot 4\cdot 5}{1\cdot 2\cdot 3\cdot1\cdot 2}=10$

different ways.

6th row tells her the number of favorable outcomes for this event.

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Would be very happy if you helped.Don’t spam guys

Reptile [31]

$\\ \sf\longmapsto 41sin\Theta=40$

$\\ \sf\longmapsto sin\Theta=\dfrac{40}{41}$

Now

$\boxed{\sf cos\Theta=\sqrt{1-sin^2\Theta}}$

$\\ \sf\longmapsto cos\Theta=\sqrt{1-\left(\dfrac{40}{41}\right)^2}$

$\\ \sf\longmapsto cos\Theta=\sqrt{1-\dfrac{1600}{1682}}$

$\\ \sf\longmapsto cos\Theta=\sqrt{\dfrac{1681-1600}{1681}}$

$\\ \sf\longmapsto cos\Theta=\sqrt{\dfrac{81}{1681}}$

$\\ \sf\longmapsto cos\Theta=\dfrac{9}{41}$

We know

$\boxed{\sf tan\Theta=\dfrac{Sin\theta}{Cos\Theta}}$

$\\ \sf\longmapsto \dfrac{tan\Theta}{1-tan^2\Theta}$

$\\ \sf\longmapsto \dfrac{\dfrac{sin\Theta}{cos\Theta}}{1-\dfrac{sin^2\Theta}{cos^2\Theta}}$

$\\ \sf\longmapsto \dfrac{\dfrac{\left(\dfrac{40}{41}\right)}{\left(\dfrac{9}{41}\right)}}{1-\dfrac{\left(\dfrac{40}{41}\right)^2}{\left(\dfrac{9}{41}\right)^2}}$

$\\ \sf\longmapsto \dfrac{\dfrac{{40}}{{9}}}{1-\dfrac{{40}^2}{{9}^2}}$

$\\ \sf\longmapsto \dfrac{\dfrac{40}{9}}{\dfrac{9^2-40^2}{9^2}}$

$\\ \sf\longmapsto \dfrac{\dfrac{40}{9}}{\dfrac{81-1600}{81}}$

$\\ \sf\longmapsto \dfrac{\dfrac{40}{9}}{\dfrac{-1519}{81}}$

$\\ \sf\longmapsto {\dfrac{40}{\cancel{9}}}\times \dfrac{\cancel{81}}{(-1519)}$

$\\ \sf\longmapsto \dfrac{40\times 9}{(-1519)}$

$\\ \sf\longmapsto - \dfrac{360}{1519}$

3 0

3 years ago

If the diameter is 1 what is the radius, circumference, and the area

mezya [45]

The radius would be .5.

When the diameter of a circle is 1, the circle's circumference is equal to pi.

The area would be .79

I hope this helped you!

Brainliest answer is always appreciated!

6 0

3 years ago

Read 2 more answers

What is the distance between 7 and 1 1/3 as a fraction form.

eimsori [14]

Answer: The distance between 7 and 1/13 in fraction form is 5 2/3.

Step-by-step explanation:

Step 1: Remove 1 and 1/3 from 7.

Step 2: 7 - 1 = 6

Step 3: 6 - 1/3 = 5 2/3.

7 0

3 years ago

A pet toy manufacturer is designing a plastic ball for dogs that will float in water. In order for the ball to float it must hav

algol13

Answer:

3.576 cm

Step-by-step explanation:

radius of ball, r=?

Given:

Density, p = 0.600g/mL

mass, m= 115g

finding volume, v of ball by using formula p=m/v

v= m/p

= 115/0.600

=191.666 mL^3

=191.666 cm^3

Now using formula v= (4/3)πr^3 to find radius, r of the ball

r^3= 3v/4π

= 3(191.666)/4π

=45.75 cm

r =3.5767 cm !

7 0

4 years ago

65 plus what two numbers will get me 180 ?

Advocard [28]

Answer:

So, to find the number we have to subtract 65 from 180 180-65 = 115 So 115 will be added to 65 to get 180.

6 0

3 years ago