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4 years ago

Enter the y coordinate of the solution to this system of equations. -2x+3y=-6 5x-6y=15

1 answer:

7 0

Y coordinate on solving both equations comes out to be 0
-2x+3y=-6
3y = -6+2x
put the value of 3y in equation 2nd
5x-2(-6+2x) =15
5x+12-4x = 15
x=3
put value of X in 3y = -6+2x
3y = -6+2*3 = -6+6 = 0
thus y = 0

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Military radar and missile detection systems are designed to warn a coutry of an enemy attack. Assume that a particular detectio

Tom [10]

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.

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

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

$P(X \geq 1) = 1 - P(X = 0)$

In which

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

$P(X = 0) = C_{2,0}.(0.8)^{0}.(0.2)^{2} = 0.04$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.04 = 0.96$

0.96 = 96% probability that at least one of them detect an enemy attack.

6 0

3 years ago

....Help Please......

bagirrra123 [75]

Answer:

See below.

Step-by-step explanation:

The vertex is the lowest point of the parabola.

The vertex is (-2, 1).

The x-intercepts are the points at which the parabola intersects the x-axis. This parabola does not intersect the x-axis, so there are no x-intercepts.

The y-intercept is the point at which the parabola intersects the y-axis.

This y-intercept is (0, 2).

7 0

3 years ago

Antonio was playing a matching game where he had to pair up each inequality with the graph of its solution. Write the letter of

vladimir2022 [97]

Hello, if u could take the picture better that would be great. i can hardly see and make out what is written on the page. thank you, i will answer your question as soon as you do.

5 0

4 years ago

Two consecutive vertices of a regular octagon are located at (1, 4) and (4,8). This octagon's perimeter is.....?

igor_vitrenko [27]

Answer:

40 units

Step-by-step explanation:

An octagon is a polygon with 8 sides. A regular octagon is an octagon in which all their sides and angles are equal to each other.

Since the vertices of a regular octagon are located at (1, 4) and (4,8), hence the length of the side is gotten using the formula for calculating the distance between two points $X(x_1,y_1)\ and\ Y (x_2,y_2)$ .

$|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Hence:

$Length=\sqrt{(4-1)^2+(8-4)^2}=5\ units$

Since all the sides of a regular octagon are equal, therefore:

Perimeter = 8 × length = 8 × 5 = 40 units

4 0

3 years ago

A single tree produces about 2.6 x 10^2 lb of oxygen each year.The Amazon rainforest has about 3.9 x 10^11 trees.About how many

inna [77]

So to multiply standard form we multiply the 2 numbers and the 2 indices separately.

$2.6*3.9=10.14$
$x^{2} * x^{11} = x^{13}$

So we've got $10.14*10^{13}$
However Standard form must be $1 \leq x \leq 10$ therefore we need to divide that by 10 but to get the same number we add one onto the power of 10.

So the answer is:

$1.014*10^{14}$ lbs of oxygen are produced in the rainforest each year.

3 0

3 years ago