Answer:
<u>x = 7</u>
Explanation:
Because 25 is a perfect square of 5, we can turn
=
into
=
Since the bases are now both equal, we can completely ignore them, as we are only trying to find x. This leaves us with:
3x - 5 = 2x + 2
All we have to do now is solve for x:
x - 5 = 2 <em>Subtract 2x from both sides.</em>
<u>x = 7</u> <em>Add 5 to both sides.</em>
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<em>Hope this helps! :)</em>
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.
Therefore, we need to find P(S|B):
S|B = 0.80.
Read more on probability here: brainly.com/question/25870256
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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.
