Suppose that the handedness of the last fifteen u. s. presidents is as follows: 40% were left-handed (l)47% were democrats (d)if a president is left-handed, there is a 13% chance that the president is a democrat. based on this information on the last fifteen u. s. presidents, is "being left-handed" independent of "being a democrat"? (a) yes, since 0.40 * 0.47 is not equal to 0.13.(b) no, since 0.40 is not equal to 0.13.(c) no, since 0.47 is not equal to 0.13.(d) yes, since 0.47 is not equal to 0.13.

Option 'c' is correct.

Step-by-step explanation:

Since we have given that

Probability that they were left handed P(L)= 40%

Probability that they were Democrats P(D)= 47%

So, P(L∩D) = 135 = 0.13

Now, to check whether they are independent or not.

We will find P(L) × P(D) is given by

Since P(L) . P(D) ≠ P(L∩D)

So, they are not independent.

Hence, Option 'c' is correct.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

explanation:

step-by-step explanation: