I HAVE NO IDEA - Please show your work and full explanation! Thanks !

Mathematics

2 answers:

Lady_Fox [76]2 years ago

5 0

The answer is A)34. this is because angle G is congruent to the angle labeled 34, so they are both 34 degrees. let me know if you want a more in depth explanation

jeyben [28]2 years ago

4 0

line P is parallel to line r and angle 34 degree is corresponding to angle H so angle H will be 34 degrees. Now angle H and G are vertically opposite to each other so angle G should be 34 degrees. Option A is correct. Hope it helps.

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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.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

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 $p = 0.8$

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 $P(X \geq 1)$ when $n = 2$ . So