What is the sum of the interior angles of the polygon shown below?

Step-by-step explanation:

ShapeFormulaSum Interior Angles

3 sided polygon (triangle)(3−2)⋅180180∘

4 sided polygon (quadrilateral)(4−2)⋅180360∘

6 sided polygon (hexagon)(6−2)⋅180720∘

720 degrees.

Step-by-step explanation:

To find out you need to to:

Know that (n-2) x 180 = the sum of the interior angles.

n = the number of sides on the shape

Therefore:

(6-2) x 180

= 4 x 180 = 720

The answer is 720 degrees.

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560