Keep practicing!
|
Practice Complete
0.0%
0/8
Results by Question
1
Algebra
Wrong
\((x - 2) - 4(y + 7) = 117\)
\((x - 2) + 4(y + 7) = 442\)
The solution to the given system of equations is \((x, y)\). What is the value of \(6(x - 2)\)?
My Answer
(No answer)
Correct Answer
1677
No explanation
2
성복고 심화탐구
Wrong
실수 전체의 집합에서 정의된 함수 \(f(x) = x^3 + x^2 + |x - a| + 2\)의 역함수가 존재하도록 하는 실수 \(a\)의 최댓값은?
A
\(-2\)
B
\(-1\)
C
\(0\)
D
\(1\)
E
\(2\)
No explanation
3
Central Ideas and Details
Wrong
The following text is from Thomas Mann's 1924 novel The Magic Mountain, translated by John E. Woods in 1995.
The story of Hans Castorp that we intend to tell here—not for his sake (for the reader will come to know him as a perfectly ordinary, if engaging young man), but for the sake of the story itself, which seems to us to be very much worth telling (although in Hans Castorp's favor it should be noted that it is his story, and that not every story happens to everybody)—is a story that took place long ago, and is, so to speak, covered with the patina of history and must necessarily be told with verbs whose tense is that of the deepest past.
What does the text most strongly suggest about the story of Hans Castorp?
A
Though it is true that stories of even the most uninteresting people are themselves interesting because all people are unique, the reason this story is interesting is nonetheless difficult to understand because of the passage of time.
B
Even though it is a story of a person of no particular importance, its age and the manner in which it therefore must be told are both indicators that the story itself is important.
C
Like all stories about the lives of inconsequential people, this story must necessarily be related in a particular way if the reason the story is consequential is to be made evident to the audience.
It is a remarkable story that happened to an unremarkable person, though one could plausibly argue that because the story is valuable, some of its value accrues to the person at its center.
Correct Answer
No explanation
4
Advanced Math
Wrong
[Graph showing system of absolute value function and linear function]
The graph of a system of an absolute value function and a linear function is shown. What is the solution \((x, y)\) to this system of two equations?
A
\((0, 8)\)
B
\(\left(\dfrac{7}{2}, \dfrac{9}{2}\right)\)
\(\left(-\dfrac{7}{2}, \dfrac{9}{2}\right)\)
Correct Answer
D
\((-3, 4)\)
No explanation
5
Probability > Binomial and geometric probabilities
Wrong
An inspection procedure at a manufacturing plant involves
picking three items at random and then accepting the whole lot if
at least two of the three items are in perfect condition. If in reality
91 percent of the whole lot is perfect, what is the probability that
the lot will be accepted?
A
\((0.91)^2\)
B
\((0.91)^2 + (0.91)^3\)
C
\(3(0.91)^2 + (0.91)^3\)
\(3(0.09)(0.91)^2 + (0.91)^3\)
Correct Answer
E
\(1 - (0.91)^3\)
Explanation
\(P(X \geq 2) = P(X = 2) + P(X = 3)\)
\(= C_2^3(0.09)^2(0.91) + (0.91)^3\)
\(= 3(0.09)^2(0.91) + (0.91)^3\)
6
Kinematics
Wrong
Above is a graph of the distance vs. time for car moving along a road. According the graph, at which of the following times would the automobile have been accelerating positively?
A
0, 20, 38, & 60 min
B
5, 12, 29, & 35 min
5, 29, & 57 min
Correct Answer
D
12, 35, & 41 min
Explanation
Positive acceleration occurs when the slope (velocity) is increasing, which corresponds to the concave up portions of the curve.
7
Probability > Normal probabilities
Wrong
Which of the following is a true statement?
A
The area under the standard normal curve between 0 and 2 is twice the area between 0 and 1.
The area under the standard normal curve between 0 and 2 is half the area between −2 and 2.
Correct Answer
C
For the standard normal curve, the interquartile range is approximately 3.
D
For the standard normal curve, approximately 1 out of 1,000 values are greater than 10.
E
The 68-95-99.7 rule applies only to normal curves where the mean and standard deviation are known.
Explanation
Choice (B) is true by symmetry. Choice (A) is false because 0.4772 is not 2 times 0.3413. Choice (C) is false because 2 times 0.67 is not 3. Less than \(10^{-20}\) (a very small number!) values are greater than a standardized z-score of 10. The 68-95-99.7 rule (the empirical rule) applies to all normal (actually all bell-shaped) distributions.
8
Algebra
Wrong
If \(2x + 5 = 13\), what is the value of \(x\)?
A
3
4
Correct Answer
C
5
D
6
No explanation