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.
Solving this inequality:
-6>t-(-13)
solve as an equation;
6>t+13
6-13>t
-7>t
-7 is greater than t, which means that can be any number smaller that t, fir instance -8, -22 etc.
Based on the amount borrowed and the interest per year, Big Brothers, Inc will pay an annual payment of $59,973.15.
<h3>How much will Big Brothers, Inc. pay annually?</h3>
This can be found by using the present value of an annuity formula because the annual payment will be constant and therefore like an annuity.
Formula is:
Present value of annuity = Annual payment x ( 1 - (1 + rate) ^ -number of periods) / rate
Solving gives:
267,999 = Amount x ( 1 - ( 1 + 18.16%)⁻¹⁰) / 18.16%
267,999 = Amount x 4.46865
Amount = 267,999 / 4.46865
= $59,973.15
Find out more on loan present value at brainly.com/question/15088278.
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The correct answer would be 12,125
Answer:
Step-by-step explanation:
20 liters -1 liter = 19 liters of milk
20 liters -1 liter = 19 liters of syrup
This was done twice so therefore;
19 liters -1 liter = 18 liters of milk
19 liters -1 liter = 18 liters of syrup
Therefore the ratio comes to 18:18
18 goes into 18 1 and the same for the other 18. Therefore the ratio comes to ;
1:1
Your final answer is 1:1