Answer:
x = 0
Step-by-step explanation:
Step 1: Write equation
-19 = x - 19
Step 2: Solve for <em>x</em>
- Add 19 to both sides: 0 = x
- Rewrite: x = 0
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-19 = 0 - 19
-19 = -19
Use ax^2 + bx + c = 0
ac = -8
b = 2
The factors are 4 and -2.
Plug them into the equation:
x^2 + 4x - 2x - 8
Then factorise it:
x ( x + 4) - 2 (x + 4)
so m = 4
(x + 4)^2
Based on the dimensions of the wall and the triangular glass, the number of mirrors needed is 215 mirrors.
<h3>What number of mirrors are needed?</h3>
First find the area of the wall:
= 36 x 93
= 3,348 m²
The area of the triangle, assuming it is an equilateral triangle is:
= (√3/4) x 6²
= 15.59 m²
The number of mirrors needed is:
= 3,348 / 15.59
= 215 mirrors
Find out more on the area of an equilateral triangle at brainly.com/question/1099318.
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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.
Answer:3 19/24
Step-by-step explanation: first you have to find the common denominator between 2 1/8 and 1 2/3. The least common denominator would be 24. The fractions turn into 2 3/24 and 1 16/24. Now you add them together which makes 3 19/24
