The probability that students who were randomly selected studied for the test, if they pass it with a B or higher grade is: D. 0.80.
<h3>How to calculate the probability?</h3>
In this exercise, you're required to determine the probability that students who were randomly selected studied for the test, if they pass it with a B or higher grade. Thus, we would apply Bayes's theorem.
- Let S represent studied for.
- Let B represent a score of B or higher grade
Therefore, we need to find P(S|B):

S|B = 0.80.
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<u>Complete Question:</u>
At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. The probabilities are displayed in the tree diagram.
Answer:
9.5
Explanation:
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Answer: See below
Explanation:
For this question, we are given the volume, and we want to find the diameter. We have to work backwards to get our radius, then to find the diameter.
(Volume of cylinder)
(The π cancel out)
(Plug in h=8)
(Divide 8)
(Square root of 9 is 3)
Now that we have our radius, we can find our diameter.
(Equation for diameter)
(Plug in r=3)
(Multiply)
The zebra mussel is an invasive species that decrease the carrying capacity of native species by competing for limited food resources. Invasive species are harmful to the homeostasis of an ecosystem.
The carrying capacity refers to the maximum population size of a species sustained by specific environmental conditions.
The factors that affect the carrying capacity include the availability of both biotic (e.g., food, presence of invasive species, etc) and abiotic (e.g., water, habitat) resources.
For example, Zebra mussels, and Quagga mussels are invasive species that can decrease the carrying capacity of native mussels by taking away limited food and attaching themselves to the native mussels.
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brainly.com/question/983919?referrer=searchResults
A total of 6,000 cartons would be needed.
<h3>Miscellaneous calculation</h3>
Cost price = k dollars
Selling price = 4k/3 dollars
Assuming k = 1 dollar
Profit per carton = 4/3 - 1 = 1/3 dollars
2000/1/3 = 6,000 cartons.
Thus, irrespective of the cost price, 6,000 cartons would be needed to generate a profit of $2,000
More on miscellaneous calculations can be found here: brainly.com/question/24817071
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