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aniked [119]
3 years ago
10

A die has 12 faces numbered 1 through 12. On the die, 5 of the faces show prime numbers, so the theoretical probability of rolli

ng a prime number is 5/12. Which is the most likely prediction for the number of times a prime number will occur when rolling the number cube 300 times?
Mathematics
1 answer:
Georgia [21]3 years ago
3 0

Answer:

5/12 * 300 = 125 times

explain:

I hope this answer can help

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<img src="https://tex.z-dn.net/?f=%20%7B2%7D%5E%7Bx%7D%20%20-%20%20%20%7B3%7D%5E%7Bx%7D%20%20%3D%20%20%20%20%5Csqrt%7B%20%7B6%7D
strojnjashka [21]

Answer:

x = 0

Step-by-step explanation:

{2}^{x} - {3}^{x} = \sqrt{ {6}^{x} } - \sqrt{ {9}^{x } } \\  \\ {2}^{x} - {3}^{x} = \sqrt{ {6}^{x} } - \sqrt{ {( {3}^{2}) }^{x } } \\  \\ {2}^{x} - {3}^{x} = \sqrt{ {6}^{x} } - \sqrt{ {({3)}^{2x}}}\\  \\ {2}^{x} -  \cancel{{3}^{x}} = \sqrt{ {6}^{x} } - \cancel{ {3}^{x} } \\  \\ {2}^{x} = \sqrt{ {6}^{x} } \\ squaring \: both \: sides \\  \\  {( {2}^{x} )}^{2}  =  {(\sqrt{ {6}^{x} })}^{2}  \\  \\  {2}^{2x}  =  {6}^{x}  \\  \\   {2}^{2x}  =  {(2 \times 3)}^{x}  \\  \\   {2}^{2x}  =  {2 ^{x}  \times 3}^{x}  \\  \\  \frac{ {2}^{2x}  }{ {2}^{x}  } =  3^{x}  \\  \\   {2}^{2x - x}  =  {3}^{x}  \\  \\  {2}^{x}  =  {3}^{x}  \\  \\   \frac{ {2}^{x} }{ {3}^{x} }  = 1 \\  \\  \bigg(  \frac{2}{3} \bigg)^{x}  = 1 \\  \\  \implies \: x = 0 \\  \\  \because \: for \: x = 0 \\  \\ \bigg(  \frac{2}{3} \bigg)^{0}  = 1

5 0
2 years ago
Choose the product of –3y2(–4y3 + y – 9).
Nina [5.8K]

Answer:

D

-3 * (-4) matches, as well as the powers (I guess you wanted to communicate that these are powers, but it would also be correct if these where factors)

6 0
2 years ago
A football team played A games last year. They lost B of those games. What was their winning percentage? 
Alexeev081 [22]
Winning%=100[wins/(total games)]

w%=100(A-B)/A

So the way that your choice expressed that is:

(A-B)/A x 100
7 0
3 years ago
Need quick answers please
Olenka [21]

Answer:

A, E, F, D

Step-by-step explanation:

Done this before

5 0
2 years ago
if the diameter of the table cloth measures 50 inches which measurement is closest to the area of the tablecloth
never [62]
 50 x 3.14 = 157  i think this is the answer
3 0
2 years ago
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