HELP What is the equation for this situation?
The table shows a representation of the number of miles
a car drives over time.
Hours, x
Miles, y
Which could NOT be a point on this table?
3
195
4
260
5
325
6
390
Pattern: Each x value is multiplied by 65
to get each y value.

Equation:   y = 65x

Randomly pick a x and y value and plug into above equation, if they don't equal then the x and y you've picked cannot be on this table.

Step-by-step explanation:

Pick any two points to find slope, let's got with (3, 195) and (4, 260):

  slope m = (y₂- y₁) / (x₂ - x₁)

                = (260 - 195) / (4 - 3)

                = 65 / 1

            m = 65

Find y-intercept by using m from above and another point from your table, let's go with (5, 325):

  y = mx + b

  325 = 65(5) + b

  325 = 325 + b

  b = 0

Use m and b to form equation of line:

  y = mx + b

  y = 65x + 0

  y = 65x

Check:

  point (3, 195):   195 = 65(3)       >   195 = 195

  point (4, 260):   260 = 65(4)     >   260 = 260

  point (5, 325):   325 = 65(5)     >   325 = 325

  point (6, 390):   390 = 65(6)     >   390 = 390

Example of a point that doesn't belong on table:

  point (8, 500):    500 = 65(8)    >   500 ≠ 520

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