Answer:
-196π
Step-by-step explanation:
F can be rewritten as
if S is the upper hemisphere
oriented upward, then the border of S is the circle C
traversed counterclockwise
By Stoke's theorem
where C is the circle of center (0,0,0) and radius 7 on the XY-plane traveled counterclockwise.
This circle can be parametrized as
<em>r(t) = (7cos(t), 7sin(t),0) with 0 ≤t ≤ 2π </em>
Computing the curve integral
Answer:
0.3758 = 37.58% probability that at most one of her first 10 arrows hits the target
Step-by-step explanation:
For each shot, there are only two possible outcomes. Either they hit the target, or they do not. The probability of a shot hitting the target is independent of any other shot, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Each arrow with a probability 0.2
This means that
First 10 arrows
This means that
What is the probability that at most one of her first 10 arrows hits the target?
This is:
So
Then
0.3758 = 37.58% probability that at most one of her first 10 arrows hits the target
There are inverse operations that need to be acknowledged. The inverse operation for division is multiplication and vice versa while the inverse operation for subtraction is addition and vice versa. Therefore, Sasheer's reasoning is correct.
The answer is
77 inches = 6 feet 5 inches
Answer:
(-12, -10)
Step-by-step explanation:
Midpoint M is the average of endpoints A and B:
M = (A +B)/2
2M = A + B . . . . . . multiply by 2; next, subtract A
B = 2M - A . . . . . . the missing endpoint can be found this way
B = 2(-8, 0) -(-4, 10) = (2(-8)+4, 2(0)-10) = (-12, -10)