<h3>
Answer: C) both of the above</h3>
Explanation:
Choice A is discrete because it is a finite set. There aren't infinitely many names in here.
The same goes for choice B as well. We have two items in this set { (3,4), (4,3) }. The set of all possible dice rolls is also discrete as there are 6^2 = 36 different ways to roll two dice.
An example of a set that isn't discrete, and continuous, would be the set of real numbers. In this set, we can pick any two values and find the midpoint. We can do this infinitely many times. So in a way, this set is very dense and we can infinitely zoom into a particular region. We can't do the same for a set of finitely many items.
The answer is 2 because distributive property means that you can multiply with the numbers inside of the parentheses and still get the same answer
Teddy =X
Dolls= 2x-14
2x-14+X=52
3X-14=52
Add 14
3X=66
Divide by 3
X= 22
Teddy are 22
Dolls 2(22)-14=30
The probability of rolling 1 number, a four, on a 6-sided number cube, is 1/6.
On the second roll, the probability of rolling 1 number, a four, is again 1/6 (remember theoretical probability for one event does not consider previous rolls).
But the probability of rolling a four on 2 on consecutive rolls will be the probability of the first event times the probability of the second event. Think of it as rolling a four on the first time <em>and</em> the second time, and whenever there is "and" you need to multiply the probabilities. The probability of rolling a four on two consecutive rolls is
(1/6)*(1/6) = 1/36.
