Answer:
They are not congruent
Step-by-step explanation:
In order to be congruent their angles have to be the same and angle A (60º) and D (40º) are different
Answer:
0.96 = 96% probability that at least one of them detect an enemy attack.
Step-by-step explanation:
For each radar, there are only two possible outcomes. Either it detects the attack, or it does not. The missiles are operated independently, which means that we use the binomial probability distribution 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.
Assume that a particular detection system has a 0.80 probability of detecting a missile attack.
This means that 
If two military radars are installed in two different areas and they operate independently, the probability that at least one of them detect an enemy attack is
This is
when
. So

In which



0.96 = 96% probability that at least one of them detect an enemy attack.
The probability would be 1/6 if the number cube is six-sided and the coin is normal.
First, we will find the probability of the landing on heads with the coin.This would be 1/2 because you have two sides that it could land on and one side you want it to land on.
Next, we will find the probability of getting a five or six with a number cube. This would be 2/6 or 1/3 because there are 6 sides it could land on and two with one of the numbers you want.
Finally, you multiply the two probabilities. 1/3 times 1/2 equals 1/6.
Hope this helps! Have a great day!
For this specific equation the answer is x - 2