Mary invested a total of $2,000 in two funds A and B. She earned 8% on her investment in fund A and 6% on his investment in fund B. If she earned a total of $144 for the year, how much did he invest in each fund?
| $1,000 in A, $1,000 in B. | ||
| $1,200 in A, $800 in B | ||
| $1,600 in A, $400 in B | ||
| $800 in A, $1,200 in B |
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What is the accumulated amount if $5000 is invested at the interest rate of 6.4% per year compounded quarterly for 3 years? Round your answers to two decimal places.
| $5960.0 | ||
| $8840.0 | ||
| $6049.2 | ||
| $6022.8 |
Let U = , A= , B= and C=. Then (A U B) c ∩ C is
| 6 | ||
Based on the survey results, 65% of the students take math classes, 50% take writing class, 30% take both math and writing classes. What percent of students take neither of them?
| 0% | ||
| 15% | ||
| 30% | ||
| 85% |
The reduced row echelon form of the augmented matrix of a linear system is
[ 1 0 1 | 2]
[ 0 1 2 |5]
[ 0 0 0 | 0].
The system has
| Infinitely many solutions x=2, y=5, z= t which can be any number. | ||
| Infinitely many solutions x= 2 – t, y = 5- 2t, z = t, where t can be any number. | ||
| Only one solution: x=2, y=5, z=0. | ||
| The system has no solution. |
A sample data set is given as follows: 1, 6, 3, 4, 4, 3, 2, 1 Then
| The mean is 3, the median is 3, the variance is 2.5. | |||||||||||||||
| The mean is 3, the median is 3, the variance is 2.86. | |||||||||||||||
| The mean is 3, the median is 4, the variance is 2.5. | |||||||||||||||
| The mean is 4, the median is 3, the variance is 2.86. | |||||||||||||||
|
In a game, you receive $10 for drawing an ace from a deck of cards, $1 for a face-card (J, Q or K), and nothing for any other card. How much should you pay so that the game is fair?
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A probability distribution has a mean of 20 and a standard deviation of 2.5. Use Chebychev’s inequality to estimate the probability that an outcome of the experiment lies between 15 and 20.
| 75% | ||
| 65% | ||
| 50% | ||
| 90% |
9% of men cannot distinguish between the colors red and green. This is the type of color blindness that causes problems with traffic signals. If six men are randomly selected for a study of traffic signal perceptions, find the probability that exactly two of them cannot distinguish between red and green.
| 0.1023 | ||
| 0.0781 | ||
| 0.0126 | ||
| 0.0833 |
Suppose X is a normal random variable with mean = 150 and standard deviation =25. Find P (134 <X <170).
| 0.7881 | ||
| 0.2611 | ||
| 0.2119 | ||
| 0.5270 |
