Answer:
The probability that the customer must open 3 or more bottles before finding a prize is 0.64
Step-by-step explanation:
In order for a customer to have to open at least 3 bottles before winning a prize, then the first two bottles shouldnt have a price. The probability that a bottle doesnt have a price is 1-0.2 = 0.8. Since the bottles are independent from each other, then the probability that 2 bottles dont have a prize is 0.8² = 0.64. Therefore, the probability that the customer must open 3 or more bottles before finding a prize is 0.64
Undercoverage might lead to bias in this study due to the risk of collecting data from a small number of people who feel strongly about the research study in this scenario.
<h3>What is Undercoverage bias?</h3>
This refers to a type of sampling bias which occurs when the research population aren't adequately represented in the study.
This type of sampling involves getting data from a selected few people who may have the same opinion or view about the study which doesn't depict the true representation of the population.
This makes the study to be biased which is why undercoverage is usually avoided when conducting a research.
Read more about Undercoverage bias here brainly.com/question/13294832
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Answer:

Step-by-step explanation:
Flip the equation.

Add -9 to both sides


Divide both sides by 7/8

hope this helps
Answer: cos(Θ) = (√15) / 4
Explanation:
The question states:
1) sin(Θ) = 1/4
2) 0 < Θ < π / 2
3) find cos(Θ)
This is how you solve it.
1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).

2) From which you can find:

3) Replace sin(α) with 1/4
=>

=>

4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:
cos(Θ) =

.
And that is the answer.
The midpoint is (7,4.75) so the y-coordinate should be y=4.75. I hope that helps