Answer:
2*(b-6)=8
Explication:
1.divide both sides by 2
b - 6 = 4
2. move the constant to the right and change the sign
b= 4 + 6
3. Calculate
b= 10
Answer:
Let's use these two sets given to explain what is the domain.
Each value from the left set is x, and from the right is f(x).
If we plug any x from the left set in the function, we'll get f(x) that corresponds to it and that's exactly what the arrows are showing.
Domain of the function is, basically, a set of all values x can have.
In this case, it's easy to see, those are all members of the left set (-6, 1, 5, 8), but sometimes this set can have lots and lots of members, even infinity.
Answer:
Part 1) The measure of arc EHL is 
Part 2) The measure of angle LVE is 
Step-by-step explanation:
step 1
Let
x-----> the measure of arc EHL
y----> the measure of arc EVL
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
so
we have
substitute
------> equation A
Remember that
-----> equation B ( complete circle)
substitute equation A in equation B and solve for x
Find the value of y
therefore
The measure of arc EHL is
The measure of arc EVL is 
step 2
Find the measure of angle LVE
we know that
The inscribed angle measures half that of the arc comprising
Let
x-----> the measure of arc EHL
we have
substitute
Answer:
The correlation coefficient 0.5 depicts that there is moderate positive correlation between y and x.
Step-by-step explanation:
The linear regression equation is
y= a+bx
The given linear equation is
y= 10x
Here, slope=b=10 and intercept=a=0.
From above equation,
ybar=10xbar
We are given that CVx=0.1 and CVy=0.2
where CV=(standard deviation/mean)*100
We know that
b=r(Sy/Sx)
Multiplying by xbar/ybar on both sides
(xbar/ybar)b=r(Sy/Sx)(xbar/ybar)
(xbar/ybar)b=r[(Sy/ybar)/(Sx/xbar))]
(xbar/ybar)b=r[CVy/CVx]
As CVy/CVx=(Sy/ybar)*100/(Sx/xbar)*100=(Sy/ybar)/(Sx/xbar).
By putting ybar=10xbar, b=10, CVx=0.1 and CVy=0.2.
(xbar/10xbar)10=r(0.2/0.1)
1=r(0.2/0.1)
1=r(2)
r=0.5
There is moderate positive correlation between y and x.
F(n)=3n-2
Plug in 2 for n. f(2)=3(2)-2=4
