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OlgaM077 [116]
3 years ago
10

A coin is tossed 8 times. Which of the following represents the probability of the coin landing on heads all 8 times?

Mathematics
1 answer:
ElenaW [278]3 years ago
8 0

Answer:

\large\boxed{\large\boxed{Probability=1/256\approx  0.0039}}

Explanation:

Since, there are two possible outcomes for every toss (head or tail), the sample space for<em> a coin tossed 8 times</em> is 2×2×2×2×2×2×2×2 = 2⁸ = 256.

<em>Landing on heads all 8 times</em> is just one of the possible outcomes: HHHHHHHH ⇒ 1.

Hence, the <em>probability </em>is calculated from its own definition:

Probability = number of favorable outcomes / number of possible outcomes

  • Probability=1/256\approx  0.0039\text{         }\leftarrow answer

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Answer:

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Step-by-step explanation:


8 0
3 years ago
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Find the value of x.<br> a.17<br> b.12<br> c.40<br> d.18<br> e.none are correct
Natali5045456 [20]

Answer:

b.12

Step-by-step explanation:

<u>Key skills needed: Interior Angle Measure Theorem, Equation Creation</u>

1) First, we need to classify this shape. It has 7 sides, which means that we can use the Interior angle Theorem to find out the sum of all the interior angle measures

The theorem is:    S = (n - 2)180

S is the sum of all interior angle measures

n is the number of sides of the polygon

2) With this, we can plug in 7 for "n" (Since the figure has 7 sides) and get:

---> S = (7-2)180

---> (7-2) is 5 since 7 - 2 = 5 so --> S = 5(180)

---> 5(180) is the same as 5 x 180 which is 900 so --> S = 900

This means that the sum of all interior angles is 900 degrees.

3) Now, we have to find out the sum of all the angles that they gave us so:

---> 10x + 10x + 9 + 133 + 9x + 14 + 12x - 9 + 10x + 5 + 136 = 900

The left side is the sum of all interior angles in the shape, and the right side is what the sum should be when expressed as a number.

4) We have to combine all like terms on the left side:

---> 10x + 10x + 9x + 12x + 10x = 51x

---> 9 + 133 + 14 -9+5+136 = 288    

5) This means that ---> 51x + 288 = 900

Subtract 288 from both sides  and get:

---> 51x = 612    (900-288 = 612)

Then divide by 51 from both sides and get:

---> x = 12     (612 ÷ 51 = 12)

Therefore b.12 is your answer.

<em>Hope you understood and have a nice day!! :D</em>

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otez555 [7]
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