Simplify the expression by combining like terms. -8y + 2 + 10y - 7 Please help
2 answers:
You might be interested in
<h2><u>Answer with explanation:</u></h2>
Let be the population mean strain in a way that conveys information about precision and reliability.
The sample mean is the best point estimate of the true population mean .
As per given , we have
Sample size : n= 12
degree of freedom :
Sample mean :
The true average strain in a way that conveys information about precision and reliability= 25.0
sample standard deviation : s= 3.3
Significance level :
Since sample population standard deviation is unknown , so we use t-test.
Critical t-value for t :
95% Confidence interval for true average strain in a way that conveys information about precision and reliability:
The 95% Confidence interval for true average strain in a way that conveys information about precision and reliability:
We 95% confident that the true population average strain in a way that conveys information about precision and reliability lies between 22.9 and 27.1 .
AC=x, BC=x√3, AB is a hypotenuse (look at the pic below)
x√3>x, consequently ∠B<∠A and we have to find cosB, which is (x√3)/AB.
<em>Let's find AB:</em>
AB=√(x²+(x√3)²)=√(x²+3x²)=√(4x²)=2x
<em>Thus, cosB is:</em>
cosB=(x√3)/(2x)=√3/2
x√3>x, consequently ∠B<∠A and we have to find cosB, which is (x√3)/AB.
<em>Let's find AB:</em>
AB=√(x²+(x√3)²)=√(x²+3x²)=√(4x²)=2x
<em>Thus, cosB is:</em>
cosB=(x√3)/(2x)=√3/2