Mercury: 2.44 × 103 kilometers
Mars: 3.39 × 103 kilometers
Venus: 6.05 × 103 kilometers
Earth: 6.37 × 103 kilometers
Neptune: 2.46 × 104 kilometers
Uranus: 2.54 × 104 kilometers
Saturn: 5.82 × 104 kilometers
Jupiter: 6.99 × 104 kilometers
We have the formula to compute the probability of having exactly k successed over n trials, given a probability p of success (and implicitly a probability 1-p of failure), which is

Now, the probability of at least 3 successes is the union of the following event: exactly three successes,exactly four successes and exactly five successes.
We can compute their probability and sum them:
So, the answer is about 36.79%
A. If p = a number is negative and q = the additive inverse is positive, the original statement is p → q.
B. If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is ~p → ~q.
D. If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q.
The required value is the angle theta and the value of the cosine of the angle is 0.9659
Given the expression of sine of an angle expressed as;

For us to get the cosine of the angle, we need to get the value of theta first as shown:

Next is to get the value of cos theta

The required value is the angle theta and the value of the cosine of the angle is 0.9659
Learn more here: brainly.com/question/13729598