If (x0,y0) is the center point of a circle, then
(x - x0)^2 + (y - y0)^2 = r^2
the equation is (x-4)^2 + (y-1)^2 = 4
Answer:
Very top one
Step-by-step explanation:
the dot is in between -34 and -35 so 34.5
and the arrow is pointing left which means less than
Answer:
P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%
Step-by-step explanation:
Mean = 63
Standard Deviation =6
We need to find probability that X lies between 45 and 81 i.e P(45<X<81)
First we will find z-score for X=45 and X=81
For X=45 the z-score can be found using formula:
Putting values and finding z-score
For X=45, z-score is -3
For X=81 the z-score can be found using formula:
Putting values and finding z-score
For X=81, z-score is 3
Now finding the probability of P(-3<z<3)
It can be solved as:
P(-3<z<3)=P(z<3)-P(z<-3)
Looking at the z-score table to find
P(z<3)= 0.9987
P(z<-3)=0.0013
So, P(-3<z<3)=P(z<3)-P(z<-3)
P(-3<z<3)=0.9987 - 0.0013
P(-3<z<3)=0.9974
or P(-3<z<3)= 99.74%
So, P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%
<span>The arc length is 8</span>π.
The circumference of the circle is 2πr = 9<span>π.
</span>
so
cross-multiply: 9x = 360(8)
x = 320