A coin is flipped 8 times. Find the probability of the event: exactly 3 heads

Mathematics

2 answers:

Salsk061 [2.6K]3 years ago

4 0

Answer:

Step-by-step explanation:

The answer is exactly 0.219

You have 8 objects and you want to choose 3 of them. 8 Choose 3 looks like

8 * 7 * 6 / 3!

3! = 6

So the answer is 8*7 = 56

There are 2^8 = 256 ways you can throw either heads or tails.

The number of successes = 56/256 = 0.219 The nine is rounded.

emmasim [6.3K]3 years ago

3 0

Answer:

The probability of the coin landing on heads 3 out of 8 times is 0.22, but the closest thing to that is 0.219.

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n200080 [17]

Answer:

1) $m\angle x = 35^{\circ}$ , 2) $m\angle x = 60^{\circ}$ , 3) $m \angle x = 40^{\circ}$

Step-by-step explanation:

1) Triangle is a right triangle since tangent line is perpendicular to the radius of the circle. Based on the fact that the sum of internal angles in triangles equals 180°, we find the value of the angle $x$ :

$m\angle x = 180^{\circ} - 90^{\circ} - 55^{\circ}$

$m\angle x = 35^{\circ}$

2) Both triangles are symmetrical right triangles since tangent lines are perpendicular to the two radii and common side is parallel to the third radius. Based on the fact that the sum of internal angles in triangles equals 180°, we find the value of the angle $x$ :

$m \angle x = 180^{\circ} - 90^{\circ} - 30^{\circ}$

$m\angle x = 60^{\circ}$

3) The figure is formed by two symmetrical right triangles. These triangles are right-angled and symmetrical since tangent lines are perpendicular to the two radii and common side is parallel to the third radius. Based on the fact that the sum of internal angles in quadrilaterals equals 360°, we find the value of the angle $x$ :

$m\angle x = 360^{\circ} - 180^{\circ} - 140^{\circ}$

$m \angle x = 40^{\circ}$

4 0

3 years ago

The graph of f(x) = 2x3 – 19x2 + 57x – 54 is shown below. How many roots of f(x) are rational numbers

labwork [276]

The <u>root</u> of the <u>function</u> is such point $x_0,$ for which $f(x_0)=0.$

The attached graph of the function $f(x) = 2x^3 - 19x^2 + 57x - 54$ shows, that the graph of the function intersects the x-axis in three points (2,0), (3,0) and (4.5,0).