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CLEP COLLEGE MATHEMATICS QUESTIONS
AND VERIFIED ANSWERS| 100% CORRECT |
ALREADY GRADED A
What was the value of P if Carl deposited P dollars into a savings account that earned 8 percent annual interest, compounded semiannually, and after one year, the account had a total value of $10,816 with no additional deposits or withdrawals?
Answer: Carl deposited P dollars into a savings account that
earned 8 percent annual interest, compounded semiannually.Carl made no additional deposits to or withdrawals from the account. After one year, the account had a total value of $10,816. What was the value of P? 10,000
If Triangle DEF is similar to ABC with angle B congruent to angle E and angle C congruent to angle F, the length of side DE is 6 cm, and the area of ABC is 5 square centimeters, what is the area of DEF?
Answer: Triangle DEF (not shown) is similar to ABC shown,
with angle B congruent to angle E and angle C congruent to angle F. The length of side DE is 6 cm. If the area of ABC is 5 square centimeters, what is the area of DEF ? 45cm^2
If m is an odd integer, is m² + m + 1 odd?
Answer: m is an odd integer. For each of the following numbers,
check if the number is odd. m^2 + m + 1
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Which of the following statements is NOT true for all real numbers a and b?
Answer: Which of the following statements is NOT true for all
real numbers a and b ? a3-b3=(a+b2)(a2-b)
For positive integers a and b where the operation ^ is defined as a^b=(2a-1)^b-1, what is the value of (2^2)^3?
Answer: For any positive integers a and b, the operation ^ is
defined as a^b=(2a-1)^b-1 . What is the value of (2^2)^3? 25
Which inequality describes all acceptable weights x, in grams, for electronic components that must weigh from 29.5 grams to 30.5 grams, inclusive, manufactured by a company?
Answer: A company manufactures electronic components that
each must weigh from 29.5 grams to 30.5 grams, inclusive.Which of the following inequalities describes all acceptable weights x, in grams, for each component? |30-x| <= 0.5
If Bill chooses one roll from 3 kinds, one meat from 4 varieties, and one cheese from 2 types to make a sandwich, how many different kinds of sandwiches can he make?
Answer: When Bill makes a sandwich, he may choose from
among 3 kinds of rolls, 4 varieties of meat, and 2 types of sliced
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cheese. If he chooses one roll, one meat, and one type of cheese, how many different kinds of sandwiches can he make? 24
Which statements about the probability of an event A are true: I.
The probability that event A will occur can be less than 0; II.The probability that event A will occur can be equal to 1; III.The sum of the probability that event A will occur and the probability that event A will not occur is equal to 1?
Answer: Which of the following statements about an event A
are true? I. The probability that the event A will occur can be less than 0. II. The probability that the event A will occur can be equal to 1. III. The sum of the probability that event A will occur and the probability that event A will not occur is equal to
- II and III only
What is the difference between the mean and the median of the numbers 27, 27, 29, 32, and 35?
Answer: The difference between the mean and the median of the
numbers 27, 27, 29, 32, and 35 is 1
In a class with 50 students where 25 are female, 15 are mathematics majors, and 10 of the mathematics majors are female, what is the probability that a randomly selected student will be female or a mathematics major or both?
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Answer: In a class with 50 students, 25 of the students are
female, 15 of the students are mathematics majors, and 10 of the mathematics majors are female. If a student in the class is to be selected at random, what is the probability that the student selected will be female or a mathematics major or both? 0.6
If an exam for a class with 32 students had a mean score of 67.2 points and the instructor rescored it by adding 8 points to each student’s score, what was the mean of the rescored exam?
Answer: On an exam for a class with 32 students, the mean
score was 67.2 points. The instructor rescored the exam by adding 8 points to the exam score for every student. What was the mean of the scores on the rescored exam? 75.2
How many different combinations of 3 programmers can a new computer graphics company choose from 10 programmers to transfer to a new digital animation department?
Answer: A new computer graphics company employs 10
programmers. The company decides to expand into digital animation and needs to transfer 3 of the programmers into the new department. How many different combinations of 3 programmers can be chosen to transfer to the new department?120
If a fair cube with faces numbered 1 through 6 is rolled twice, what is the probability that an even number will appear on the