<span>8 is a common factor for all coeficients so we factor it out first: 8(2x^2 + x + 4). Now we have to check can we factor the quadratic equasion in the brackets to linear factors. To do that we need to check is the discriminant D=b^2 - 4ac > 0 where a=2, b=1 and c=4. When we insert our numbers, we get: D= -31. We see that D < 0 so 8(2x^2 + x + 4) is the completely factored form.</span>
²⁰¹²C₂₀₁₁ = (2012)! / [(2011)! (2012-2011)!]
²⁰¹²C₂₀₁₁ = (2012)! / [(2011)! (1)!]
Simplify 2012! / (2011)! = 2012
²⁰¹²C₂₀₁₁ = (2012)! / (1)! = 2012
<span>4x − 2y = 6 . . . . . (1)
2x + y = 5 . . . . . (2)
(2) x 2 => 4x + 2y = 10 . . . . . (3)
(1) - (3) gives: -4y = -4
y = -4/-4 = 1
From (2), 2x + 1 = 5 => 2x = 5 -1 = 4
x = 4/2 = 2
Solution is (2, 1)
Substituting the solution into the options gives that
</span><span>−4x − 2y = 10
−4y = 4 −4x
has the same solution.
</span>
Answer:
The correct option is;
(B) Yes, because sampling distributions of population proportions are modeled with a normal model.
Step-by-step explanation:
Here we have the condition for normality being that where we have a population with a given mean and standard deviation, while a sufficiently large sample is drawn from the population while being replaced, the distribution of the sample mean p will be distributed normally according to central limit theorem.
Hello IdontKnowHowToMath,
first, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year.
Solving our equation:
A = 6000(1 + (0.03 × 4)) = 6720
A = $6,720.00
The
total amount accrued, principal plus interest, from simple interest on a
principal of $6,000.00 at a rate of 3% per year for 4 years is
$6,720.00.
