Answer: 189.028 AU.
Step-by-step explanation:
Given: The radius of the orbit = 30.1 AU
Since, the orbit is circular in shape, then the distance traveled by Neptune is given by:-

Hence, the distance traveled by Neptune in a single orbit around the Sun = 189.028 AU.
Answer:
P(X=2)=0.04129
Step-by-step explanation:
-This is a binomial probability problem whose function is expressed as;

-Given that p=0.6, n=8 , the probability that among the students in the sample exactly two are female is calculated as:

Hence, the probability of exactly two females is 0.04129
The answer is 51°.
The top two lines are parallel to each other. Therefore alternate interior angles theorem applies. The bottom right corner that is underneath the line (for lack of a better description) is also 58°.
We also know that a triangle equals 180°. So 58+71= 129°.
So to find that missing angle we subtract 129 from 180 to get the 51°.
Answer:
3x - 13
Step-by-step explanation:
The perimeter is just the distance around the triangle. We have all three sides, so we can just add them together to get the total distance.
(x-6) + (x+2) + (x-9)
Group:
x + x + x - 6 + 2 - 9
3x - 13
Answer:


Step-by-step explanation:
As given



As given the expression.


Solving the above


In the decimal form.
= 8.67 (Approx)

