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gregori [183]
3 years ago
5

A number cube with faces labeled 1 through 6 is rolled 200 times. About how many times would you expect to roll an even number?

Mathematics
1 answer:
Sergio039 [100]3 years ago
7 0

Answer:

The theoretical probability is smaller than the relative frequency

Step-by-step explanation:

6-sided cube rolled 200 times

Probability of an even number is 1/2= 0.5

200*1/2= 100- theoretical probability

Experimental frequency= 115

Relative frequency= 115/200= 0.575

0.575 > 0.5

The theoretical probability is smaller than the relative frequency

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Step-by-step explanation:

Simplifying

4.2(2x + -0.5y) + -2(4.1x + -0.3y) = 0

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Reorder the terms:

8.4x + -8.2x + -2.1y + 0.6y = 0

Combine like terms: 8.4x + -8.2x = 0.2x

0.2x + -2.1y + 0.6y = 0

Combine like terms: -2.1y + 0.6y = -1.5y

0.2x + -1.5y = 0

Solving

0.2x + -1.5y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1.5y' to each side of the equation.

0.2x + -1.5y + 1.5y = 0 + 1.5y

Combine like terms: -1.5y + 1.5y = 0.0

0.2x + 0.0 = 0 + 1.5y

0.2x = 0 + 1.5y

Remove the zero:

0.2x = 1.5y

Divide each side by '0.2'.

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Simplifying

x = 7.5y

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