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Step-by-step explanation:
8 i The probability of getting a head on a single toss of a fair and unbiased coin is 0.5. However, in this scenario, we are not given information about whether the coin is fair or biased.
Given that the coin was tossed 100 times and resulted in 59 heads, we can calculate the sample proportion of heads as:
p̂ = 59/100 = 0.59
If the coin is fair, then the probability of getting a head on a single toss would be 0.5, but if the coin is biased, the probability of getting a head could be different from 0.5.
Without additional information about the coin, we cannot accurately determine the probability of getting a head on a single coin toss. However, based on the information given, the sample proportion of heads in the 100 tosses was 0.59.
8 ii The probability of getting a tail on a single coin flip can be calculated by subtracting the probability of getting a head from 1:
P(tail) = 1 - P(head)
Since the coin was flipped 100 times and heads were obtained 59 times, the probability of getting a head is:
P(head) = 59/100 = 0.59
Therefore, the probability of getting a tail on a single coin flip is:
P(tail) = 1 - 0.59 = 0.41
So the probability of getting a tail is 0.41.
9 To solve this equation, we need to isolate the variable x on one side of the equation. We can do this by adding 6 to both sides of the equation to cancel out the -6 on the left side, and by subtracting 4x from both sides to cancel out the 4x on the right side:
5x - 6 = 4x - 2
5x - 6 + 6 - 4x = 4x - 2 - 4x + 6 (add 6 and subtract 4x from both sides)
x = 4
Therefore, the solution to the equation is x = 4.
To verify this solution, we can substitute x = 4 back into the original equation and check if it satisfies the equation:
5x - 6 = 4x - 2
5(4) - 6 = 4(4) - 2
14 = 14
Since the left-hand side of the equation equals the right-hand side of the equation, we can conclude that x = 4 is indeed the solution to the equation.
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Answer:
Please mark my answer brainlist because I only need 2 brainlist answer to became an expert and my answer is 100% correct...... Thankyou and here is your answer:
Step-by-step explanation:
8 i The probability of getting a head on a single toss of a fair and unbiased coin is 0.5. However, in this scenario, we are not given information about whether the coin is fair or biased.
Given that the coin was tossed 100 times and resulted in 59 heads, we can calculate the sample proportion of heads as:
p̂ = 59/100 = 0.59
If the coin is fair, then the probability of getting a head on a single toss would be 0.5, but if the coin is biased, the probability of getting a head could be different from 0.5.
Without additional information about the coin, we cannot accurately determine the probability of getting a head on a single coin toss. However, based on the information given, the sample proportion of heads in the 100 tosses was 0.59.
8 ii The probability of getting a tail on a single coin flip can be calculated by subtracting the probability of getting a head from 1:
P(tail) = 1 - P(head)
Since the coin was flipped 100 times and heads were obtained 59 times, the probability of getting a head is:
P(head) = 59/100 = 0.59
Therefore, the probability of getting a tail on a single coin flip is:
P(tail) = 1 - 0.59 = 0.41
So the probability of getting a tail is 0.41.
9 To solve this equation, we need to isolate the variable x on one side of the equation. We can do this by adding 6 to both sides of the equation to cancel out the -6 on the left side, and by subtracting 4x from both sides to cancel out the 4x on the right side:
5x - 6 = 4x - 2
5x - 6 + 6 - 4x = 4x - 2 - 4x + 6 (add 6 and subtract 4x from both sides)
x = 4
Therefore, the solution to the equation is x = 4.
To verify this solution, we can substitute x = 4 back into the original equation and check if it satisfies the equation:
5x - 6 = 4x - 2
5(4) - 6 = 4(4) - 2
14 = 14
Since the left-hand side of the equation equals the right-hand side of the equation, we can conclude that x = 4 is indeed the solution to the equation.
Answer:
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