They should ideally be the same. However, the difference is that the theoretical probability is what is expected to happen while the experimental probability is what happens in the actual scenario. The computation for both would be the same, and they should ideally be the same, unless other factors in an experiment would confound it.
Let's make an equation based off of the pythagorean theorem.
7²+x²=(x+1)²
Since the diagonal is the biggest of the three lengths, the diagonal is the bigger even number. Since they are consecutive, they are one away. Let's distribute.
49+x²=x²+2x+1; let's subtract 1 from both sides.
48+x²=x²+2x; lets subtract x² from both sides.
48=2x; let's divide.
48÷2=24=x
So, since smaller integer is 24, the bigger one is 25. Let's make sure this makes sense.
7²+24²=25²
49+576=625
625=625
So, the missing lengths are 24 and 25.
Answer:
<h2>7. 62.8 sq.in.</h2><h2>8. 21.2 sq.in.</h2>
Step-by-step explanation:
The formula of an area of a triangle:
a, b - adjacent sides
θ - included angle
=============================================
7.
a = 9in, b = 14in, θ = 85°
sin85° ≈ 0.9962
Substitute:
8.
a = 12 in, b = 5 in, θ = 135°
sin135° = sin(180° - 45°) = sin45° ≈ 0.7071 <em>used sin(180° - x) = sin(x)</em>
Substitute:
If the y-value is 17, you will see a horizontal line on the graph at, well, the y-value 17. Because the slope is rise over run, and there is only run but not rise, the slope will be 0 over infinity, or simply 0.
