Answer:

Step-by-step explanation:
Given

Solving (a): The possible coordinates
We have:

This gives:



<em>(-2,8) is a point on the grid</em>

This gives:



<em>(7,5) is a point on the grid</em>

This gives:



<em>(-5,5) is a not point on the grid</em>
<em></em>

This gives:



<em>(1,3) is a not point on the grid</em>

This gives:



(1,7) is a point on the grid
So, we plot the following on the grid

See attachment
Let's simplify them top to bottom.
6(x + 2) < x - 3
6x + 12 < x - 3
5x + 12 < -3
5x < -15
x < -3
This one checks out.
3 + 4x <= 2(1 + 2x)
4x + 3 <= 4x + 2
This is a problem. In no world is 4x + 3 ever less than or equal to 4x + 2. This one has no solution.
Answer:
The probability of success is .12
The probability of failure is .88
According to the binomial theorem the probability of 3 success is
10! / (3! * 7!) * .12^3 * .88^7 = .085
Answer:
9.6
Step-by-step explanation:
First you figure out that the shadow is 2.5 times larger than what is casting it. Then you divide 24 by 2.5.
Answer:
Cost of the box of pencils = x = $4
Cost of the notebook = x+2 = 4+2 = $6
Cost of package of pens = 3x = 3(4) = $12
Step-by-step explanation:
Let the cost of the box of pencils = x
Cost of the notebook = 2 more than the pencils cost = x+2
Cost of package of pens = 3 times the pencils cost = 3x
The total was $22, so we can say:
(x)+(x+2)+(3x) = 22
5x=22-2
x=20/5
x=$4
Cost of the box of pencils = x = $4
Cost of the notebook = x+2 = 4+2 = $6
Cost of package of pens = 3x = 3(4) = $12