A college administration has conducted a study of 166 randomly selected students to determine the relationship between satisfact
ion with academic advisement and academic success. They obtained the following information: Of the 62 students on academic probation, 29 are not satisfied with advisement; however, only 23 of the students not on academic probation are dissatisfied with advisement. What is the probability that a student selected at random is not on academic probation and is not satisfied with advisement?
1 answer:
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I gather you're supposed to compute the integral of over a surface
that is the part of the parabolic cylinder
with
and
.
We can parameterize by
with the given constraints on and
. Take the normal vector to
to be
so that the surface element is
Then in the integral, we have
<h3>Answer: n = -11</h3>
The other choices are false, so choice C is the only solution here.
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Explanation:
Draw a number line. You'll have 0 in the center, with positive values on the right. The positive values increase 1,2,3,4,... as you move from left to right.
The negative values will go in the opposite direction. When going from right to left, we have -1, -2, -3, -4, ...
See the diagram below.
Now plot an open hole at -7 on the number line. The open hole says that we exclude this value from the solution set. Then we shade everything to the left of the open circle. This visually describes all values smaller than -7. Something like -2 is not to the left of -7, meaning -2 < -7 is false. But a value like -10 is to the left of -7, making -10 < -7 true.
With that in mind, the answer is n = -11 since -11 is to the left of -7. Of the values in the answer choices, it's the only thing to the left of -7.
The value n = -7 cannot be the solution because n < -7 would become -7 < -7 which is false.