Answer: The proportion of employees who either have MBAs or are managers are 0.58.
Step-by-step explanation:
Since we have given that
Probability of employees having managerial positions = 67%
Probability of employees having MBA degrees = 58%
Probability of managers having MBA degrees = 67%
So, using probability formulas, we get that
![P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\P(A\cup B)=0.67+0.58-0.67\\\\P(A\cup B)=0.58](https://tex.z-dn.net/?f=P%28A%5Ccup%20B%29%3DP%28A%29%2BP%28B%29-P%28A%5Ccap%20B%29%5C%5C%5C%5CP%28A%5Ccup%20B%29%3D0.67%2B0.58-0.67%5C%5C%5C%5CP%28A%5Ccup%20B%29%3D0.58)
Hence, the proportion of employees who either have MBAs or are managers are 0.58.
Yes, in simplest form, both fractions are 1/3 (one over three)
11x + 2 is combining like terms
A rectangle is a quadrilateral with either two opposite sides equal and parallel to each other. That is AB is parallel and equal to CD and AD parallel and equal to BC. Parallel lines have equal slopes.
Thus, AB slope is 2, while that of CD is also 2, therefore they are parallel to each other. In addition the modulus of AB and that of CD is the same thus they are equal in length.
AD slope is -1/2 while that of BC is also -1/2 therefore the two are parallel to each other. In addition they are equal in length therefore they are equal in length.
Moreover AB is perpendicular to BC and AD (product of slope of two perpendicular lines is -1)
Therefore, it can be concluded that Quadrilateral ABCD is a rectangle.