You are drawing two cards, without replacement, from a standard deck of 52 cards. What is the probability of drawing a heart, then a diamond?
Leave your answer in decimal form to 4 decimal places.

0.0637

Step-by-step explanation:

There are 13 hearts. The chance of drawing a heart in your first draw is 13/52, or in other words 1/4

There are 13 diamonds. The chance of drawing a heart on your second draw after removing the heart is 13/51

The chance of drawing a heart, and then, drawing an orange, are 1/4*13/51=13/204.

answer: that was hard but still working on it

step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.