"A and B must be disjoint" is the one among the following choices given in the question that must be true for <span>P (A and B) = P (A) * P (B). The correct option among all the options that are given in the question is the fourth option or option "D". I hope that this is the answer that has come to your great help.</span>
Answer:
D. Undefined
Step-by-step explanation:
The graph of x=3 is a straight, vertical line. Therefore, the slope will be undefined.
Answer:
Isosceles
Step-by-step explanation:
Two sides are equal to each other and not the same length as the other side, so it'd be an isosceles triangle.
Answer:
Option C
Step-by-step explanation:
The standard form of equation of a cirle is:
(x-h)^2+ (y-k)^2=r^2
In the given question as the point is given and the radius of circle is given:
So,
(h,k)=(2,-1)
and
r=3
Here,
h=2
k= -1
Putting the values of h,k and r in standard form
(x-2)^2+ (y-(-1))^2=(3)^2
(x-2)^2+ (y+1)^2=(3)^2
So the equation of circle is:
(x-2)^2+ (y+1)^2=9(3)^2
Option C is the correct answer ..
Given:
Matthew's dad hired him to paint 6 wooden patio chairs for $125.
Time taken by him to paint all of the chairs = 9 hours.
It takes the same amount of time to paint each chair.
To find:
The fraction of an hour does it take Matthew to paint one chair
Solution:
Total time = 9 hours
Total number of chairs = 6
Now, time taken by Matthew to paint one chair is
![\dfrac{\text{Total time}}{\text{Total number of chairs}}=\dfrac{9}{6}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BTotal%20time%7D%7D%7B%5Ctext%7BTotal%20number%20of%20chairs%7D%7D%3D%5Cdfrac%7B9%7D%7B6%7D)
![\dfrac{\text{Total time}}{\text{Total number of chairs}}=\dfrac{3}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BTotal%20time%7D%7D%7B%5Ctext%7BTotal%20number%20of%20chairs%7D%7D%3D%5Cdfrac%7B3%7D%7B2%7D)
Therefore, Mattew takes
of an hour to paint one chair.
Thinking with a model: On dividing the total time by total number of chairs we get time taken by Mattew (in hours) to paint one chair. So, the result represents the fraction of an hour taken by Matthew to paint one chair.