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Levart [38]
3 years ago
6

Simplify Exponents (X^3)^5

Mathematics
2 answers:
neonofarm [45]3 years ago
7 0

Answer: x^15

Step-by-step explanation: Multiply the exponents in (x^3)^15.

Hope this helps you out! If you need anymore help with math, let me know and I will be more than happy to help you! ☺

-Karleif Jonsi-

lbvjy [14]3 years ago
3 0

Answer:

x ^15

Step-by-step explanation:

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A sofa is on sale for $219, which is 27% less than the regular price.<br> What is the regular price?
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Answer:

$300 was the regular price of the sofa.

Step-by-step explanation:

If $219 is 27% less than the regular price, then it represents 73% of the regular price.

Regular price = r.

r/1 x 73/100 = $219. Reverse this to find that $219/1 divided by 73/100 = r.

To divide fractions, reverse the second fraction and MULTIPLY:

$219/1 x 100/73 = 21900/73 = 300.

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3 years ago
Ayo runs a fairground game.In each turn, a player rolls a fair dice numbered 1 - 6 and spins a fair spinner numbered 1 - 12.It c
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Using the definition of expected value, it is found that Ayo can be expected to make a profit of £55.8.

The <em>expected value</em> is given by the <u>sum of each outcome multiplied by it's respective probability.</u>

In this problem:

  • The player wins $6, that is, Ayo loses £6, if he rolls a 6 and spins a 1, hence the probability is \frac{1}{6} \times \frac{1}{12} = \frac{1}{72}.
  • The player wins $3, that is, Ayo loses £3, if he rolls a 3 on at least one of the spinner or the dice, hence, considering three cases(both and either the spinner of the dice), the probability is \frac{1}{6} \times \frac{1}{12} + \frac{1}{6} \times \frac{11}{12} + \frac{5}{6} \times \frac{1}{12} = \frac{1 + 11 + 5}{72} = \frac{17}{72}
  • In the other cases, Ayo wins £1.40, with 1 - \frac{18}{72} = \frac{54}{72} probability.

Hence, his expected profit for a single game is:

E(X) = -6\frac{1}{72} - 3\frac{17}{72} + 1.4\frac{54}{72} = \frac{-6 - 3(17) + 54(1.4)}{72} = 0.2583

For 216 games, the expected value is:

E = 216(0.2583) = 55.8

Ayo can be expected to make a profit of £55.8.

To learn more about expected value, you can take a look at brainly.com/question/24855677

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2 years ago
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$17.35

Step-by-step explanation:

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