Answer:
a=-8
b=-29
Step-by-step explanation:
Let's assume
first number is a
second number is b
the difference of two numbers,a and b,is 21
so, we get

we can solve for 'a'

the difference of five times a and two times b is 18
so, we get

now, we can plug 'a'

now, we can solve for b




now, we can find 'a'


4✔️12x
4✔️4 • 3x
4 • 2 ✔️3x
8✔️3x
This is the solution.
The probability is P(X >= 2).
200 random people, n = 200
Let us consider the Binomial expression
i.e.,
P(X = r) = nCr*p^r*q^(n-r)
Here we have to assume that the 3 initials are equally likely events.
i.e.,
p = 1/3
q = 1 - 1/3
= 2/3
Required probability = P(X >= 2)
= 1 - [P(X = 0) + P(X = 1)]
= 1 - [200C0*(1/3)^0*(2/3)^200 + 200C1*(1/3)^1*(2/3)^199]
= 1 - [1*1*(2/3)^200 + 200*(1/3)*(2/3)^199]
= 1 - [(2/3)^200 + 200*(1/3)*(2/3)^199]
= 1 - (2/3)^200 - 200*(1/3)*(2/3)^199
Probability is truly how possibly something is to happen. every time we're unsure about the final results of an event, we will talk about the possibilities of certain consequences and how probably they are. The evaluation of events ruled by means of possibility is called records.
3 styles of probability
- Classical
- Relative Frequency Definition.
- Subjective possibility.
Learn more about probability here brainly.com/question/24756209
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Answer:
Option A) Inconsistent is correct
Step-by-step explanation:
Given equations are 
and 
Rewritting the equation y=5x+2 as below
5x-y=-2
Now multiplying the above equation into 2 we get

Now subtracting the equations (2) and (3)
10x-2y=12
10x-2y=-4
________

Therefore the given system of equations has no solution
Therefore it is inconsistent
Therefore given two lines are parallel. Two parallel lines never intersect, so the given system has no solution and is inconsistent.
Option A) Inconsistent is correct
Answer:

Step-by-step explanation:
Hi there!
Vertex form: 

Factor out -5 from the first two terms

Complete the square by adding
(the square of half of the x-coefficient)

We're subtracting
because we need to keep the equation balanced and we can't just add new values.
Complete the square

Simplify

Summary:
- Complete the square
- Simplify
I hope this helps!