1) We have that there are (52,3) ways to pick 3 cards out of 52 cards. Also, there are (4,3) ways to pick 3 kings out of the 4 total available kings in the deck. In essence, we need to have one of those ways to be the selected 3 cards. Hence, the probability is the ration (4,3)/(52,3). Computing this:
P=
The probability is very low but not negligible.
2) The Pascal triangle defines a recursive relationship. Hence, we would need to calculate all the binomial coefficients up to 51. Thus, it is not at all practical to use the Pascal Triangle to calculate the ways. It is easier to do the direct computation.
Answer:
(0, 4 )
Step-by-step explanation:
To find the x- intercept, let y = 0 in the equation and solve for x, that is
7x - 4(0) = 28, that is
7x = 28 ( divide both sides by 7 )
x = 4 ← x- intercept ⇒ (0, 4 ) as an ordered pair
Answer:
Option 4: y > 2x
x + 2y < -8
Step-by-step explanation:
Taking first equation:
y > 2x
Putting x = 0
y > 0
Putting y = 0
0 > x
So the blue line in drawn according to first equation.
Taking second equation:
x + 2y < -8
Putting x = 0
2y < -8
y < - 4
putting y = 0
x < -8
So the red line is drawn accordingly.
i hope it will help you!
Answer:
M: (2,-2)
N: (1,2)
O: (2,-4)
P: (5, -2)
Step-by-step explanation:
What you would do is find out where the two lines intercross. The 2 right quadrants are positive. The two left are negative. Count the lines and figure out the ordered pair. X is left and right, y is up and down. For example, if you were given a ordered pair, (4,-2) you would go up four, and left 2.
Answer:
Option (4)
Step-by-step explanation:
From the graph attached,
A dotted line passes through two points (3, 1) and (-3, -3)
Let the equation of the given line is,
y = mx + b
where 'm' = slope of the line
b = y-intercept
Slope of a line passing through 
and 
is,
m = 
For the given points,
m = 
m = 
y-intercept 'b' = -1
Therefore, equation of the given line will be,
Since graphed line is a dotted line so it's representing an inequality(having < or > sign)
And the shaded part is below the dotted line,
Inequality will be,
y < 
Therefore, Option (4) will be the answer.
