Answer:
We are 95% confident that the percentage of registered voters in the nation planning on voting for Robert Smith is between 49% and 55%.
Step-by-step explanation:
Given that :
Margin of Error = ±3%
Sample Proportion = 52%
Confidence level = 95%
The 95% confidence interval is :
Sample proportion ± margin of error
52% ± 3%
Lower boundary = 52% - 3% = 49%
Upper boundary = 52% + 3% = 55%
The interpretation is that at a given confidence level ; the popukation proportion based on the sample proportion and margin of error is in the confidence interval.
Answer:
It took Pedro <em>3.81 hours</em> to reach the lake.
Step-by-step explanation:
Time taken by Mike to hike a lake = 4.5 hours
Average rate of Mike while hiking the lake = 
Formula for distance can be seen as:

Distance traveled by Mike = 
Rate of Pedro while hiking the same distance = 
Given that, Pedro also travels the same distance.
And we have to find the Time.


It took Pedro <em>3.81 hours</em> to reach the lake.
Answer:
11.8
Step-by-step explanation:
3(12.4) + 6(11.5) = 37.2 + 69 = 106.2
106.2/9 = 11.8
Answer:6 i think
Step-by-step explanation:
The valid probability distributions are the ones in options C and D.
<h3>
Which of the following are valid probability distributions?</h3>
For discrete random variables with probabilities p₁, p₂, ..., pₙ, there are two rules:
- All of these probabilities are numbers between 0 and 1.
- p₁ + p₂ + ... + pₙ = 1.
So, for the first rule we can discard the first option, where we have negative probabilities.
To check the other 4 options, just add the probabilities and see if the addition gives 1.
The options that add up to 1 are C and D, so these two are the correct options.
D: 1/5 + 1/10 + 1/10 + 1/10 + 1/5 + 1/10 + 1/10 + 1/10 = 1
C: 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 1
If you want to learn more about probability:
brainly.com/question/25870256
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