Answer:
24 Outcomes
Step-by-step explanation:
The sample space of an event is <em>the set of all possible outcomes.</em>
A jar contains 6 marbles numbered 1 through 6
Sample Space of Selecting a Marble from the Jar =6
A standard deck contains 4 Suits
Sample Space of Selecting a Card and Observing the Suit = 4
Theorem(The Fundamental Counting Principle)
If there are “x” ways for one event to happen, and “y” ways for a second event to happen, then there are “x * y” ways for both events to happen.
Therefore the Sample Space of randomly selecting a marble from the jar, observing the number drawn, and then randomly selecting a card from a standard deck and observing the suit of the card is given as:
Sample Space of Selecting a Marble X Sample Space of Selecting a Card and observing the Suits
= 6 X 4
=24
There are 24 Outcomes in this experiment.
Answer:
Yes
Step-by-step explanation:
There are two cases: Case 1: x is even, so x can be modelled as a generic number 2n, where n is a positive integer. Clearly this product is divisible by two. ... Hence, it is safe to generalise that the term x²-x is divisible by 2 for any positive integer x.
Answer:
Step-by-step explanation:
Diameter (d) = 6 cm
Radius (r) = ?
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Answer:
scalene
Step-by-step explanation:
all side lengths are different
Answer:
5 hours and 48 minutes
Step-by-step explanation:
The equation for finding average speed is:
Let x represent the distance for both the journey from Riley's college to home and back. We can use one variable to represent this because both distances are the same.
We also know that the total round trip took 12 hours. Let y represent the time it took for Riley to drive from college to home. Therefore the time it takes for Riley to drive from home to college is 12 - y.
Using this information, we can set up a system of equations.
<h3>Setting up a System of Equations</h3>
Multiply both sides of the first equation by "y" and both sides of the second equation by "12 - y".
Since both 65.1y and 835.2-69.6y are equivalent to x, we can set them equal to each other.
Now, we have to solve the equation for time or "y".
<h3>Solving for Time</h3>
Add 69.6y to both sides
Divide both sides by 134.7
This is the time it took for Riley to drive from college to home, therefore the time it took for Riley to drive from home back to college is:
5 hours and 48 minutes