Kennedy draws a card from a full 52-card deck. The card's suit is observed, and then she returns the card to the pack and the deck is shuffled. Kennedy repeats this process two more times. What is the probability of Kennedy selecting three hearts? 1/41

13/32

1/21

1/64

Step-by-step explanation:

Since she replaces the cards the probabilty of getting a heart is the same each time (1 in 4). So 1/4 x 1/4 x 1/4= 1/64.

answer: 414,377,008

step-by-step explanation:

just multiply it

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