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Andrews [41]
2 years ago
6

edgar rolls two six-sided number cubes. What is the probability that he rolls a 5 on the first cube and a number greater than 4

on the second cube? Use the diagram 1of the sample space to help you.

Mathematics
1 answer:
azamat2 years ago
6 0

Answer:D

Step-by-step explanation:

The diagram can be thrown out the window. All we need is to find the chance of a 5, then the chance that the second cube rolls a 5 or a 6.

The cube has 6 possible numbers. The number 5 is one of them. Therefore we have a 1/6 chance of rolling a 5.

The second cube has 6 possible numbers. Two of those are what we want. Therefore we have a 2/6 chance, or rather 1/3 chance of rolling a 5 or 6.

Combining these, we have a 1/6 chance to roll a 5, and on top of that we have a 1/3 chance to roll a number we want.

\frac{1}{6}*\frac{1}{3}=\frac{1}{18}

and that is our final answer.

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IgorLugansk [536]

Answer:

See Explanation

Step-by-step explanation:

(a) Proof: Product of two rational numbers

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

A = \frac{1}{2}

B = \frac{2}{3}

The product:

A * B = \frac{1}{2} * \frac{2}{3}

A * B = \frac{1}{1} * \frac{1}{3}

A * B = 1 * \frac{1}{3}

A * B = \frac{1}{3}

Proved, because 1/3 is rational

(b) Proof: Quotient of a rational number and a non-zero rational number

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

A = \frac{1}{2}

B = \frac{2}{3}

The quotient:

A / B = \frac{1}{2} / \frac{2}{3}

Express as product

A / B = \frac{1}{2} / \frac{3}{2}

A / B = \frac{1*3}{2*2}

A / B = \frac{3}{4}

Proved, because 3/4 is rational

(c) x + y is rational (missing from the question)

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Let x and y be

Such that:

x = \frac{1}{2}

y = \frac{2}{3}

The sum:

x + y = \frac{1}{2} + \frac{2}{3}

Take LCM

x + y = \frac{3+4}{6}

x + y = \frac{7}{6}

Proved, because 7/6 is rational

<em>The above proof works for all values of A, B, x and y; as long as they are rational values</em>

8 0
3 years ago
Solve for n<br> 3n + 2 - 2n + 5 = 17<br> (Combine like terms then solve.)
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Answer:

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Step-by-step explanation:

3 0
2 years ago
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1.) 78 would be the range

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2 years ago
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Answer:

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Step-by-step explanation:

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