PLEASE HELP!!!!! GEOMETRY
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Answer:
Step-by-step explanation:
Given that a particular detection system has a 0.83 probability of detecting a missile attack.
Also each system is independent of the other to detect missile attack.
a) the probability that a single detection system will detect an attack=
b) the probability that at least one of the systems will detect the attack given two systems= 1-Prob no system detects
=
c) If three systems are installed, the probability that at least one of the systems will detect the attack
= 1- none of the three systems detect attack
d) We find that probability of detecting is more if we increase the system form 1 to 2 and 2 to 3.
Hence for safety and defence purpose multiple detection system is recommended.
4 liters of punch can serve 16.
5 liters of punch will be needed for 20 servings.
7 liters of punch will serve 28.
Step-by-step explanation:
Given,
Ratios of liters of punch to servings = 2:8
Let,
x be the servings for 4 liters.
New ratio of liters of punch to servings = 4:x
Using proportion;
Ratio :: New ratio
Product of mean = Product of extreme
Dividing both sides by 2
4 liters of punch can serve 16.
Let,
y be the liters of punch for 20 servings.
New ratio = y:20
Using proportion;
Product of mean = Product of extreme
Dividing both sides by 8
y=5
5 liters of punch will be needed for 20 servings.
Let,
z be the number of servings for 7 liters of punch.
New ratio = 7:z
Using proportion
Product of mean = Product of extreme
Dividing both sides by 2
7 liters of punch will serve 28.
Keywords: ratio, proportion
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