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alexgriva [62]
3 years ago
8

A fair coin is tossed three time sin succession. the set of equally likely outcomes is {hhh,hht,hth,thh,htt,tht,tth,ttt}. find t

he probabilty of getting exactly zero tails
Mathematics
1 answer:
n200080 [17]3 years ago
6 0
There are 8 possible outcomes so that means the probability will have a denominator of 8.

Now, there is only one of the eight outcomes that has zero tails.

Therefore the probability of getting zero tails after tossing a fair coin three times in succession is

​
\frac{1}{8}
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Step-by-step explanation:

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What percent of 67 is 12
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The volume of a rectangular prism is 2,058 cubic cm. The length of the prism is 3 times the width. The height is twice the width
Nataly_w [17]
<span>Solution:

We have:
length = a = 3x
</span><span>width = b = x
</span>height = h = 2x
<span>area of the base of the prism = c 
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Use: c = (3x)(x)
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Use: v = (3x²)(2x)
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x³ = 343
x = ∛343
x = 7

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b = x 
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6 0
3 years ago
What fraction makes the equation true?<br> Enter the answer in the boxes.<br><br> 5/6x =20/24
Darina [25.2K]

Answer:

x=1

Step-by-step explanation:

To find the value of x, we have to move all the real numbers to the other side.

5/6x = 20/24

We have divide each side by 5/6. Once we do that, we get—

x = 4/4

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6 0
4 years ago
Find the center and radius of the circle x^2+y^2-10x-12y+45=0.
BARSIC [14]

Answer:

The center is (5, -6) with a radius of r

Step-by-step explanation:

First put the equation in Standard Form for a circle:

(x + a)² + (y + b)² = r²

Now, Group the term

x² + y² - 10x - 12y + 45 = 0

x² - 10x + y² - 12y = - 45

Then, The x and y terms must be perfect squares

x² - 10x + 25 + y² - 12y + 36 = - 45 + 25 + 36

add constant both sides we get,

x² - 10x + 25 + y² - 12y + 36 = 16

Now, Simplify

(x - 5)² + (y + 6)² = 16

√(x - 5)² + (y + 6)² = √16

<em>x - 5 + y + 6 = 4</em>

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Thus, The center is (5, -6) with a radius of r

<u>-TheUnknownScientist</u><u> 72</u>

6 0
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