The formula for calculating the area of a circle is expressed as;
A = πr²
- Area of the pond = πr²
- Area of the path = Area of the path + pond - area of pond
- Area of path = π(r+1.5)² - πr²
Since the area of the path is equal to the area of the pond, hence;
π(r+1.5)² - πr² = πr²
Add πr² to both sides
π(r+1.5)² - πr² + πr² = πr² + πr²
π(r+1.5)² = 2πr²
(r+1.5)² = 2r²
Expand the parenthesis
r²+3r + 2.25 = 2r²
r²+3r + 2.25 - 2r² = 0
-r² + 3r + 2.25 = 0
r² - 3r - 2.25 = 0
Multiply through by 2
2r² - 6.0r - 4.5 = 0
<em>This proves the required equation</em>
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Learn more on area of composite figures here: brainly.com/question/15981553
Flip a coin twenty five times, the purpose of this is to show that theoretical and experimental do not always overlap.
Theoretically, it should be a fifty-fifty chance.
In the experiment because you do it a odd amount of times, 25, each flip will be worth a four percent chance.
You would not be able to make a fifty fifty chance with that amount of flips.
Also here:
1.) 13 Heads, 12 tails
2.) 48% chance for the coin to land on tails, 52% chance for the coin to land on heads.
3.) The theoretical probability of a coin landing on heads is 50% of the time that the coin is flipped. This is because there are two possibilities with an equal likelihood of happening
4) The theoretical probability and experimental probability are different as theoretically there would be an equal likelihood or probability and in the experiement, there was a higher probability for the coin to land on heads.
Answer:
99%, because as the level of confidence increases, Zc increases.
Step-by-step explanation:
Answer:
0.070
Step-by-step explanation:
Y = number on trial
Y has a negative binomial distribution
r = 3
P = 30% = 0.3 probability of positive indication.
P(Y = 11) probability of 11 employees that must be tested to get 3 positives
Y-1Cr-1*p^r*q^(y-r)
Y-1 = 11-1 = 10
r-1 = 3 -1 = 2
10C2 x 0.3³x0.7⁸
45x0.027x0.05764801
= 0.070
This is the probability that 11 employees must be tested to get 3 positives.
Answer:
16. Right isosceles
17. D
Step-by-step explanation:
The triangle has a right angle this makes it a right trangle. Also all parallelograms are not squares, all rectangles aren't squares and all parallelograms aren't rhombuses.
