Answer:
100
Step-by-step explanation:
100 is the lowest number 50 and 20 both go into.
Since each vector is a member of

, the vectors will span

if they form a basis for

, which requires that they be linearly independent of one another.
To show this, you have to establish that the only linear combination of the three vectors

that gives the zero vector

occurs for scalars

.

Solving this, you'll find that

, so the vectors are indeed linearly independent, thus forming a basis for

and therefore they must span

.
<span>ax + by + c = 0
by = - ax - c
y = -a/b (x) - c/b
so slope = </span>-a/b
answer
-a/b
The random nature of the process is why Gina doesn't get the theoretical probability. If she were to repeat this experiment say 1000 or perhaps 10,000 times, then her experimental probability value should get closer to 1/2. It likely won't land *exactly* on 1/2 because again of the random nature of the outcomes.
For more information, check out the Law of Large Numbers.
Answer:
b = 310
Step-by-step explanation:
192 + 118 = b
b = 310