Suppose the probability of an event occurring is p(a), and the probability of the event not occurring is p(a'). if p(a) = m and p(a') = n, which of the following equations must be true?
a. m = 1 + n
b. n = 1 - m
c. n = m + 1
d. m =n -1

B

Step-by-step explanation:

P(A)+P(A')=1

m+n=1

B is the only answer equal this if you add m to both sides.

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180