We do completing the square as follows:
Write the equation in such a way that the constants are on one side.
<span>x^2 + 2x = 13
We add a number to both sides that will complete the square on the side which contains the variable x.
</span><span>x^2 + 2x + 1 = 13 +1
We factor the side which contains the variable x.
(x+1)^2 = 14
Therefore, we should add 1 in order to complete the square from the given equation.</span>
Answer:
1.97
Step-by-step explanation:
The null hypothesis is:

The alternate hypotesis is:

Our test statistic is:

In which X is the sample mean,
is the hypothesis tested(null hypothesis),
is the standard deviation and n is the size of the sample.
In this problem, we have that:

So



1/4
Step-by-step explanation:
1/4 is the original fraction of 3/12 simplified
Answer:
Evaluate ∫3x2sin(x3)cos(x3)dx
Step-by-step explanation:
hello (a) using the substitution u=sin(x3) because
du =3x²(cos x3)dx
you have ∫3x2sin(x3)cos(x3)dx = ∫udu=u²/2 +c............continu
500 (the current collection) + 10 (the weekly addition) x 20 (weeks to add)
500 + 10*20 (Multiplication comes before addition)
500+200
700