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irakobra [83]
3 years ago
5

This should contain only positive exponents

Mathematics
1 answer:
Simora [160]3 years ago
4 0
(4a³)
-------
(8a³)

Since the variable and exponent are exactly the same, and you're dividing them, they cancel out.

(4)
----
(8)

This can be simplified to 1/2.
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If a person tosses a coin 23 times, how many ways can he get 11 heads
EastWind [94]

Tossing a coin is a binomial experiment.

Now lets say there are 'n' repeated trials to get heads. Each of the trials can result in either a head or a tail.

All of these trials are independent since the result of one trial does not affect the result of the next trial.

Now, for 'n' repeated trials the total number of successes is given by

_{r}^{n}\textrm{C}

where 'r' denotes the number of successful results.

In our case n=23 and r=11,

Substituting the values we get,

_{11}^{23}\textrm{C}=\frac{23!}{11!\times 12!}

\frac{23!}{11!\times 12!}=1352078

Therefore, there are 1352078 ways to get heads if a person tosses a coin 23 times.


3 0
4 years ago
ROUND OFF 0.524 TO THE NEAREST HUNDREDTHS
larisa [96]

0.52

Step-by-step explanation:

To round 0.524 to the nearest hundredth consider the thousandths’ value of 0.524, which is 4 and less than 5. Therefore, the hundredths’ value of 0.524 remains 2.

0.524 rounded to the nearest hundredth = 0.52

8 0
3 years ago
A six-sided die is rolled.
insens350 [35]

Answer:

a.) 1/3

Step-by-step explanation:

1/6 is a 2 is rolled

1/6 if a 4 is rolled

so 2/6 if either are rolled

which simplifies to 1/3

8 0
3 years ago
Read 2 more answers
Solve the system of equations given below.<br> -5x = y – 5<br> -2y = -x-21
irakobra [83]

Answer:

<h2>x = -1, y = 10 → (-1, 10)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}-5x=y-5&\text{subtract y from both sides}\\-2y=-x-21&\text{add x to both sides}\end{array}\right\\\left\{\begin{array}{ccc}-5x-y=-5&\text{multiply both sides by (-2)}\\x-2y=-21\end{array}\right\\\underline{+\left\{\begin{array}{ccc}10x+2y=10\\x-2y=-21\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad11x=-11\qquad\text{divide both sides by 11}\\.\qquad x=-1\\\\\text{put the value of x to the first equation:}\\\\10(-1)+2y=10\\-10+2y=10\qquad\text{add 10 to both sides}\\2y=20\qquad\text{divide both sides by 2}\\y=10

3 0
3 years ago
Plz help me with 52 a and b
8090 [49]
A equals 54
im thinking b equals 12 but i could be wrong 
a is right though
4 0
3 years ago
Read 2 more answers
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