Answer:
2. 1- Experimental probability of rolling a 4 = 40%
3. 2- Theoretical probability is 3% greater than experimental probability.
Step-by-step explanation:
Experimental probability of rolling a 4 = 100 × 
= 100 × 0.4
= 40%
Experimental probability of getting at least one tail = 
= 0.72
Theoretical probability of getting at least one tail = 
= 0.75
Theoretical probability is 3% greater than experimental probability.
The student messed up on step one. The proper factoring is (x-4) (x+2)
1)Original Equation: V=lwh
Divide by lw: V/w=lw/lw(h)
Answer: h= V/lw
2)Set up the equation as V=lwh
Substitute the variables for numbers: 50=10(2)h
Multiply 10*2: 50=20h
Divide 50each side by 20 to get rid of 20h: 50/20=20/20
H=2.5
The height of the box is 2.5 meters tall.
Rewrite the boundary lines <em>y</em> = -1 - <em>x</em> and <em>y</em> = <em>x</em> - 1 as functions of <em>y </em>:
<em>y</em> = -1 - <em>x</em> ==> <em>x</em> = -1 - <em>y</em>
<em>y</em> = <em>x</em> - 1 ==> <em>x</em> = 1 + <em>y</em>
So if we let <em>x</em> range between these two lines, we need to let <em>y</em> vary between the point where these lines intersect, and the line <em>y</em> = 1.
This means the area is given by the integral,

The integral with respect to <em>x</em> is trivial:

For the remaining integral, integrate term-by-term to get

Alternatively, the triangle can be said to have a base of length 4 (the distance from (-2, 1) to (2, 1)) and a height of length 2 (the distance from the line <em>y</em> = 1 and (0, -1)), so its area is 1/2*4*2 = 4.
137,638+52,091 is 189729.