Alright last one- im very bad at this T-T 17 pointsss :)
2 answers:
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Answer:
Though it may vary, it's going closer to 0.5 as long as we enlarge our sample.
Step-by-step explanation:
1) Since a coin has heads and tails, then a sample proportion of 40 we can simulate it using some applets.
2) Here are the most common outcomes, as long as we continue on flipping coins.
If we continue enlarging our sample (80, 120,160...) the probability goes closer to 0.5
This shows: the theoretical probability goes closer and closer to the experimental probability of heads and tails
Given:
The largest circle has a radius of R=7 units.
Let x be the radius of the large shaded circle.
The small shaded circles have a radius of 1/5 of the large shaded circle.
=> the small shaded circles have a radius of r=x/5
By adding up radii, we have the equation
2(r+x+r)=2(x/5+x+x/5)=2R=2*7=14
Simplify:
7x/5=14/2
x=5
=> r=1
Area of outer circle =
Area of large shaded circle =
Area of 4 small shaded circles =
Total area of shaded circles =
Shaded area as a fraction of that of the outer circle
The largest circle has a radius of R=7 units.
Let x be the radius of the large shaded circle.
The small shaded circles have a radius of 1/5 of the large shaded circle.
=> the small shaded circles have a radius of r=x/5
By adding up radii, we have the equation
2(r+x+r)=2(x/5+x+x/5)=2R=2*7=14
Simplify:
7x/5=14/2
x=5
=> r=1
Area of outer circle =
Area of large shaded circle =
Area of 4 small shaded circles =
Total area of shaded circles =
Shaded area as a fraction of that of the outer circle