What is the theoretical probability of the event that a family with two children has one boy and one girl? Make a tree diagram to help solve the problem.
a.
1/4
b.
2/1
c.
1/2
d.
3/4

Please select the best answer from the choices provided

A
B
C
D

Simonne used the following steps to simplify the given expression. 12 - 3(-2x + 4) step 1: 12 + (–3)·(–2x) + (–3)·(4) step 2: 12 + 6x + (–12) step 3: 12 + (–12) + 6x step 4: 0 + 6x step 5: 6x what property of real numbers was used to transition from step 3 to step 4? a. identity property of addition b. inverse property of addition c. associative property of addition d. commutative property of addition

An equation of the line tangent to y=x^3+3x^2+2 at its point of inflection is

Find the maximum value of p= 4x + 5y subject to the following constraints :