Solve the inequality. Graph the solution.2(5 – 3x) < x-4(3 - x)
1 answer:
Answer:
<em>x</em>>2
Step-by-step explanation:
The first thing you need to do is distribute.
2 time 5 and 2 time -3x; -4 times 3 and -4 times -x.
After that you would get 10-6x < x-12+4x.
Now combine like terms. The only like terms are on the right side: x and 4x.
Now it's 10-6x < 5x-12.
Now put <em>x</em><em> </em>on one side. I prefer to work with a positive <em>x</em> so I would move it to the right.
Now it's 10 < 11x-12.
Isolate the <em>x</em><em>.</em><em> </em>Move the -12 first
Now it's 22<11x.
Divide by 11 next.
Now it's 11<x.
Switch it around so it's easier to interpret for the graph.
Final written inequality is x>11.
Graph the line x= 11 but with a dotted line because it is not equal to 11.
Color in everything to the right of the line because everything greater than x is to the right.
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Answer:
- 0.0374
- 0.0010
Step-by-step explanation:
number of cards = 52
number of queen = 4
number of spades = 13
A) probability that the tenth card is a queen
drawn time (r) = 1
position of success(x) = 10th
p = 4/52
P( x,r,p) =
p(10,1,4/52) = 9C0(4/52)^1 * (48/52)^9 = 0.0374
B) probability the twentieth card is a spade
x = 20
r = 1
p = 13 / 52
P(20,1,26/52) = 19C0(26/52)^1 * (26/52)^19 = 0.0010
c) The last five cards been spades
p(last five cards been spades )
p(48..52, 5, 13/52 ) = 47...52C4(13/52)^5 * (39/52)^48..52 - 5