An early-warning detection system for aircraft consists of four identical radar units operating independently of one another. Suppose that each has a probability of 0.95 of detecting an intruding aircraft. When an intruding aircraft enters the scene, the random variable of interest is X, the number of radar units that do not detect the plane. Is this a binomial experiment?

Yes, the given experiment is a binomial experiment.

Step-by-step explanation:

The conditions of the binomial experiment are

1. The trails are independent.

2. There are two possible outcomes i.e. success or failure.

3. The probability of success p remains constant on each trail.

4. The experiment is repeated fixed number of times n.

When an intruding aircraft enters the scene, the random variable X, the number of radar units that do not detect the plane indicates binomial experiment because

1. The four identical radar units are independent of each other.

2. There are two possible outcomes i.e. radar will detect the plane or radar will not detect the plane.

3. The probability of not detecting the plane p=0.05 remains constant on each trial. Here the probability of success is the probability of not detecting the plane can be calculated as

The probability of not detecting the plane=1- probability of detecting the plane

4. The experiment consists of four radar units i.e. n=4.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

step-by-step explanation:

for exempl this   system of equations   y = x - 3

                                                                y = 2x - 5

look   the line : y = x -3     ( red)

                            the line : y = 2x -5 ( bleus)