Answer:

Step-by-step explanation:
The probability of success (getting heads) on one roll DOESNT affect other rolls, so we need to find probability of getting a head in a roll.
Probability is defined as the number of favorable outcomes divided by the total number of outcomes.
<em>Here, favorable outcome is getting a head. So, on one roll, getting a head is 1. Also, the total number of outcomes is either a head or a tail. So total number of outcomes is 2.</em>
Thus,
P(Heads) = 1/2
Answer:
There are no simple factors to this expression. You can however solve for x, giving you:
x = -1 ± √(y + 3)
Step-by-step explanation:
There is no simple pair of factors to this equation, so we'll have to go through the full process. You can see that by observing that there is no pair of rational numbers that add to make 2 and multiply to make -2. We can however solve for x:

Answer:the answer would be B
Step-by-step explanation:
the operation is +
A three-dimensional vector field is conservative if it is also irrotational, i.e. its curl is

. We have

so this vector field is not conservative.
- - -
Another way of determining the same result: We want to find a scalar function

such that its gradient is equal to the given vector field,

:

For this to happen, we need to satisfy

From the first equation, integrating with respect to

yields

Note that

*must* be a function of

only.
Now differentiate with respect to

and we have

but this contradicts the assumption that

is independent of

. So, the scalar potential function does not exist, and therefore the vector field is not conservative.