<u>Answer:</u>
2. The correct answer option is 25%.
3. The experimental probability is 3% greater than the theoretical probability.
<u>Step-by-step explanation:</u>
2. We are given that a number cube is rolled 20 times out of which 5 times it lands on the number 2.
We are to find the experimental probability of getting the number 2.
P (2) =
= 25%
3. The theoretical Outcomes are: HH HT TH TT
So theoretical probability of getting HH =
= 25%
Total number of outcomes =
= 100
So experimental probability of getting HH =
= 28%
Therefore, the experimental probability is 3% greater than the theoretical probability.
Answer: 6.71
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Work Shown:
The longest horizontal portion of length 6 breaks up into two equal pieces of length 3 each. Focus on the smaller right triangle on the right hand side. This right triangle has legs of 3 and 6. The hypotenuse is x.
Use the pythagorean theorem with a = 3, b = 6, c = x to find the value of x
a^2 + b^2 = c^2
3^2 + 6^2 = x^2
9 + 36 = x^2
45 = x^2
x^2 = 45
x = sqrt(45)
x = 6.7082039
x = 6.71
Answer: The answer is 4,500.
Explanation: 450 x 10 = 4,500.
No, the first choice equals 190 and the second 144.