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Answer:
Step-by-step explanation:
<u>Sample Space</u>
The sample space of a random experience is a set of all the possible outcomes of that experience. It's usually denoted by the letter .
We have a number cube with all faces labeled from 1 to 6. That cube is to be rolled once. The visible number shown in the cube is recorded as the outcome. The possible outcomes are listed as the sample space below:
Now we are required to give the outcomes for the event of rolling a number less than 5. Let's call A to such event. The set of possible outcomes for A has all the numbers from 1 to 4 as follows
Answer:
Step-by-step explanation:
Evaluate the Pythagorean Theorem for the triangle.
a² + b² = c²
5² + x² = 10²
25 + x² = 100
Subtract 25 from both sides.
x² = 75
Square root.
x = sqrt(75)
Expand the radical.
x = 5*sqrt(3)