<u>Events</u> A and B are called <u>independent</u>, when
![Pr(A\cap B)=Pr(A)\cdot Pr(B),](https://tex.z-dn.net/?f=Pr%28A%5Ccap%20B%29%3DPr%28A%29%5Ccdot%20Pr%28B%29%2C)
otherwise events A and B are <u>dependent</u>.
The events A, B and A∩B are:
- A - Jane will go to a ballgame on Monday;
- B - Kate will go to a ballgame on Monday;
- A∩B - Kate and Jane both go to the ballgame on Monday.
![Pr(A)=0.73,\ Pr(B)=0.61,\ Pr(A\cap B)=0.52.\\ \\ Pr(A)\cdot Pr(B)=0.73\cdot 0.61=0.4453\neq 0.52=Pr(A\cap B).](https://tex.z-dn.net/?f=Pr%28A%29%3D0.73%2C%5C%20Pr%28B%29%3D0.61%2C%5C%20Pr%28A%5Ccap%20B%29%3D0.52.%5C%5C%20%5C%5C%20Pr%28A%29%5Ccdot%20Pr%28B%29%3D0.73%5Ccdot%200.61%3D0.4453%5Cneq%200.52%3DPr%28A%5Ccap%20B%29.)
Answer: events A and B are dependent
Answer:
25 students
Step-by-step explanation:
Using the line of best fit, we want to deduce the number of students predicted to be in the marching band given that there are 35 in the concert band.
To deduce this, what we need to do is to go to the point where we have 35 on the concert band axis i.e the x-axis, then trace it upto the line of best fit.
Then from the line of best fit, now trace to the y-axis.
This gives an answer 25.
Answer:
Circle 2
Step-by-step explanation:
Intercepted arc refers to a section of the circumference of a circle. The line segment ZV refers to the length of the arc. The central angle is the angle at the center of the circle between the two radii or line segments at the ends of the arc meeting at the center of the circle.
In the images below, it can be seen Circle 2 has line segment ZV with central angle of 58 degrees.
Circle 1 shows an inscribed angle which is the angle between two chords at their point of intersection on the circumference of the circle. A chord is a line joining two points on the circumference of a circle. In this case, one of the chords is the diameter of the circle
Circle 3 shows the angle between a chord and tangent intersecting on the circumference of the circle
Circle 4 also shows an inscribed angle. The chords are not crossing through the center of the circle