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zhuklara [117]
3 years ago
5

Military radar and missile detection systems are designed to warn a country of enemy attacks. A reliability question deals with

the ability of the detection system to identify an attack and issue the warning. Assume that a particular detection system has a 0.83 probability of detecting a missile attack. Answer the following questions using the binomial probability distribution:
a. What is the probability that a single detection system will detect an attack?
b. If two detection systems are installed in the same area and operate independently, what
is the probability that at least one of the systems will detect the attack?
c. If three systems are installed, what is the probability that at least one of the systems
will detect the attack?
d. Would you recommend that multiple detection systems be used? Explain.
Mathematics
1 answer:
Nadusha1986 [10]3 years ago
7 0

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=0.83

b) the probability that at least one of the systems will detect the attack given two systems= 1-Prob no system detects

=1-(1-0.83)(1-0.83)\\\\=1-0.0289\\=0.9711

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

= (1-0.17^3)\\=1-0.004913\\=0.995087

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.

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8 0
3 years ago
I need help please!
Vlad1618 [11]

Answer:

\Huge \boxed{y=3x+6}

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

The slope can be found from two points.

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

The two points from the graph are (1, 9) and (2, 12).

Plugging in the values and evaluating.

\displaystyle m=\frac{12-9}{2-1}

\displaystyle m=\frac{3}{1}

m=3

The slope of the line is 3.

The y-intercept of the line is where the line cross the y-axis.

The line crosses the y-axis at (0, 6).

b=6

The slope-intercept form of the line is:

y=3x+6

8 0
3 years ago
What is 241,639 rounded to the nearest thousand?
stich3 [128]

Answer:

242,000

Step-by-step explanation:

Since the 6 in the hundreds place is greater than 5, you round up.

3 0
3 years ago
Let u,v,wu,v,w be three linearly independent vectors in R7R7. Determine a value of kk, k=k= , so that the set S={u−3v,v−2w,w−ku}
11Alexandr11 [23.1K]

Answer:

1/6

Step-by-step explanation:

For a set of vectors a, b and c to be linearly dependent, the linear combination of the set of vectors must be zero.

C1a + C2b + C3c = 0

From the question, we are given the set S={u−3v,v−2w,w−ku}, the corresponding vectors are a(0, -3, 1), b(-2,1,0) and c(1,0,-k)

The values in parenthesis are the ccoefficients of w, v and u respectively.

On writing this vector as a linear combination, we will have;

C1(0, -3, 1) + C2(-2,1,0) + C3(1,0,-k) = (0,0,0)

0-2C2+C3 = 0........ 1

-3C1+C2 = 0 ........... 2

C1-kC3 = 0 ….......... 3

From equation 2, 3C1 = C2

Substituting into 1, -2(3C1)+C3 = 0

-6C1+C3 = 0

-6C1 = -C3

6C1 = C3.…..4

Substitute 4 into 3 to have

C1-k(6C1) = 0

C1 = k6C1

6k = 1

k = 1/6

Hence the value of k for the set of vectors to be linearly dependent is 1/6

6 0
3 years ago
Are the irrational numbers closed under addition?
Arte-miy333 [17]

Answer:

Irrational numbers are not closed under addition.

Step-by-step explanation:

Irrational numbers are the numbers that cannot be expressed in the form of a fraction \frac{x}{y}. In other words we can say that irrational number,s decimal expantion does not cease to end.

The closure property of addition in irrational numbers say that sum of two irrational number is always a rational number, But this is not true. It is not necessary that the sum is always irrational some time it may be rational.

This can be understood with the help of an example:

let (2+√2) and (-√2) be two irrational number. Their sum is (2+√2)+(-√2) = 2, which is clearly a rational number.

Hence, irrational numbers are not closed under addition.

4 0
3 years ago
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