For a population, the mean is 19.4 and the standard deviation is 5.8 compare the mean and standard deviation of the following ra
2 answers:
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Answer:
P_exp(blue and heads) = 20%
P_the(blue and heads) = 16.67%
P_exp(yellow and tails) = 15%
P_the(yellow and tails) = 16.67%
Step-by-step explanation:
To find the experimental probability of drawing a blue block and flipping heads, we need to check in the table the cases where this occurs.
The cases are: 5, 6, 10 and 17
So there are 4 cases in a total of 20 cases, then the probability is 4/20 = 0.2 = 20%
The theoretical probability is the probability of having a blue block among the 3 blocks, and having a heads in the coin. The first one is 1/3 and the second is 1/2, so the probability is (1/3)*(1/2) = 1/6 = 0.1667 = 16.67%
The experimental probability of drawing the yellow block and flipping tails occurs at 3, 7, and 9 (3 cases), so the probability is 3/20 = 0.15 = 15%
The theoretical probability of drawing the yellow block and flipping tails is (1/3) * (1/2) = 1/6 = 0.1667 = 16.67%
Answer:
Levi's dad takes 1.67 hours to wash the car by himself
Step-by-step explanation:
* Lets explain how to solve the problem
- Levi takes 2.5 hours to wash his dad's car alone
- Levi and his dad take 1 hour to wash the dad's car together
∵ Levi takes 2.5 hours to wash the car alone
∴ The rate of Levi is 1/2.5 car/hr
∵ His dad takes x hours to wash the car alone
∴ The rate of his dad is 1/x car/hr
∵ They working together for 1 hour to wash the car
- The equation of the work is rate of Levi × t + rate of his dad × t = 1
∵ t is the time of working together
∵ t = 1 hour
∴
- Multiply both sides by 2.5x to cancel the denominators
∵
∵ 1 × (2.5x) = 2.5x
∴ x + 2.5 = 2.5x
- Subtract x from both sides
∴ 2.5 = 1.5x
- Divide both sides by 1.5
∴ x = 5/3 ≅ 1.67
∵ x is the the time of his dad to wash the car alone
∴ Levi's dad takes 1.67 hours to wash the car by himself