Answer: choice D 1/2
Step-by-step explanation:
Events A and B are independent if the equation P(A∩B) = P(A) · P(B) holds true.
so
1/6=1/3*p(A)
p(A)=1/2
Answer:
x=6
Step-by-step explanation:
To find the perimeter of the triangle you need to add up all the sides, so if all the sides are 2x-3 the equation will look like this;
2x-3+2x-3+2x-3=27
which when combining like terms will leave it to be;
6x-9=27
Than move all the factors besides x over to the right side;
6x-9+9=27+9
6x = 36
6x/6 = 36/6
x = 6
so your answer will be x=6
The picture below shows the formula for calculating slope
In this example:
y2 = 4
y1 = -4
x2 = 5
x1 = 3
(These are the numbers you substitute into the formula)
Calculations:
4 - (-4) = 8
5 - 3 = 2
8/2 = 4
As you can see, after the values are substituted into the equation & simplified, the slope is equal to 4
Since A is (-7,-4) and C is (7,3) for the x value from a to c is 14 for the y value from a to c is 7
Do 14 x 2/7 which is 4
Do 7 x 2/7 which is 2
then add (-7+4,-4+2) which is (-3,-2)