Step-by-step explanation:
x = -10, y = 10
y= -4x+4
m1×m2 = -1
-4 × m2 = -1
m2 = 1/4
y-y1 = m(x-x1)
y-10 = 1/4(x+10)
y-10 = 1/4x +10/4
(×4)
4y-40=x+10
4y=x+50
x-4y+50=0
Given Information:
Total cards = 108
Red cards = 25
yellow cards = 25
Blue cards = 25
Green cards = 25
Wild cards = 8
Required Information:
Probability that a hand will contain exactly two wild cards in a seven-hand game = ?
Answer:
P = (₈C₂*₁₀₀C₅)/₁₀₈C₇
Step-by-step explanation:
The required probability is given by
P = number of ways of interest/total number of ways
The total number of ways of dealing a seven-card hand is
₁₀₈C₇
We want to select exactly 2 wild cards and the total wild cards are 8 so the number of ways of this selection is
₈C₂
Since the game is seven-card hand, we have to get the number of ways to select remaining 5 cards out of (108 - 8 = 100) cards.
₁₀₀C₅
Therefore, the setup for this problem becomes
P = number of ways of interest/total number of ways
P = (₈C₂*₁₀₀C₅)/₁₀₈C₇
This is the required setup that we can type into our calculators to get the probability of exactly two wild cards in a seven-hand card game with 8 wild cards and 108 total cards.
Answer: Option A
or 
Step-by-step explanation:
Use the quadratic formula to find the zeros of the function.
For a function of the form
The quadratic formula is:
In this case the function is:
So
Then using the quadratic formula we have that:
Remember that 
or
Since the area is 120 ft^2, and we know the length of the room is 15 ft, we can calculate the width.
120/15 = 8
To find the perimeter, we use the following formula
2l + 2w = P
2 (15) + 2 (8) = 46 ft
Answer:
24 months
Step-by-step explanation:
Cross-multiply
0.5 inches -------------- 1 month
12 inches ---------------- x months
0.5/12 = 1/x ===> 0.5x = 12 ===> x = 12/0.5 ===> x = 24 months
