Let

denote the event that a student is a freshman,

a sophomore,

a junior, and

a senior.
Let

denote the event that a student majors in engineering. By the law of total probability,

By the definition of conditional probability, we can expand each of these intersection probabilities to get

X = 12
27x - 45 = 18x + 63
-18x
9x - 45 = 63
+45
9x = 108
108/9
Note that the formula is: ax² + b(x) + c =0
You are trying to write it in the form: a(x - b)² = c
Note that:
a = 6
b = 12
c = 9
Plug into corresponding places: 6(x - 12)² = 9
Because you are just telling us to write it in the form a(x − b)² = c, 6(x - 12)² = 9
is your answer
hope this helps
To start this, you would have to get y by itself to have an equation you can graph. Start by subtracting 7x from both sides.
-3y= -7x+21
Next, divide both sides by -3
y = 7/3x + 7
A parallel line would have the same slope of 7/3x. Since you need to have an intercept of -1 the equation would be y = 7/3x -1
Answer:
It would be "a sentence that includes two independent clauses connected by a conjunction" which is Choice B.
Choice A wouldn't work as there needs to be two or more independent clauses for it to be a Compound Sentence.
<u>Choice B would work, as it follows the definition of a Compound Sentence.</u>
Choice C wouldn't work, that would be a Complex Sentence
Choice D wouldn't, that would be a Simple Sentence.
Also, note that this question is something for the Language Arts section.