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Naddik [55]
2 years ago
12

Which expression is equivalent to 24? O 2√3 23√/3 O 2√6 O 23√√6

Mathematics
1 answer:
vredina [299]2 years ago
5 0

24^{1/3}=\sqrt[3]{24}=\sqrt[3]{8 \cdot 3}=\sqrt[3]{8}\sqrt[3]{3}=\boxed{2\sqrt[3]{3}}

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Mrac [35]
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7 0
3 years ago
Jim adds 20 to it, then doubles it and gets an answer of 99.2. What was the original number?
riadik2000 [5.3K]

(n+20)*2 = 99.2

distribute

2n + 40 = 99.2

subtract 40 from each side

2n = 59.2

divide each side by 2

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7 0
3 years ago
In a lottery game, a player picks six numbers from 1 to 21. If the player matches all six numbers, they win 40,000 dollars. Othe
Darina [25.2K]

Answer:

The expected value of this game is -$0.26.

Step-by-step explanation:

Expected value:

Each possible earning/loss multiplied by it's probability.

Probability:

Number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the numbers are chosen is not important. So we use the combinations formula to solve.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Probability of winning:

Desired outcomes:

The 6 correct numbers, so D = 6

Total outcomes:

6 numbers from a set of 21. So

T = C_{21,6} = \frac{21!}{6!15!} = 54264

Probability:

p = \frac{1}{54265}

Expected value

\frac{1}{54265} probability of earning 40,000.

\frac{54264}{54265} probability of losing 1. So

E = \frac{40,000}{54265} - \frac{54264}{54265} = -0.26

The expected value of this game is -$0.26.

7 0
3 years ago
8ft=how many yards and feet 68in=how many ft and in 3,520y=how many miles
Nataly_w [17]
8ft = 2yrds and 2 feet
68in= 5ft and 8in
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3 0
3 years ago
What is the algebraic expression for the quotient of z and 3
Zielflug [23.3K]
The quotient of z and 3.

quotient = ÷

z/3

The answer is A.
4 0
3 years ago
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