1. h(n) is the product of the even numbers from 2 to n, inclusive, and p is the least prime factor of h(100)+1. What is the range of p?
Answer is p>40
DS
2. At least 100 students at a certain high school study Japanese. If 4 percent of the students who study French also study Japanese, do more students at the school study French than Japanese?
1). 16 students at the school study both French and Japanese.
2). 10 percent of the students at the school who study Japanese also study French.
OA is B
3. If it took Carol 1/2 hour to cycle from his house to the library yesterday, was the distance that he cycled greater than 6 miles? ( 1mile=5,280feet)
1). The average speed at which Carlos cycled from his house to the library yesterday was greater than 16 feet per second.
2). The average speed at which Carlos cycled from his house to the library yesterday was less than 18 feet per second
OA is E
4. . How many different prime numbers are factors of the positive integer n?
1). four different prime numbers are factors of 2n.
2). four different prime numbers are factors of n^2.
OA B
5. A certain list of 100 data has an average of 6 and a standard deviation of d, where d is positive. Which of the following pairs of data, when added to the list, must result in a list 0f 102 data with standard deviation less than d?
A. -6 and 0
B. 0 and 0
C. 0 and 6
D. 0 and 12
E. 6 and 6
OA E
6.
Ann $450,000
Bob $360,000
Cal $190,000
Dot $210,000
Ed $680,000
The table above shows the total sales recorded in July for the five salespeople. It was discovered that one of Cal’s sales was incorrectly recorded as one of Ann’s sales. After this error was corrected, Ann’s total sales were still higher than Cal’s total sales, and the median of 5 sales totals was $330,000. What was the value of the incorrectly recorded sale?
7. Circle C and line k lie in the xy-plane. If circle c is centered at the origin and has radius1, does line k intersect circle c?
1). the x-intercept of line k is greater than 1
2). the slope of line k is -1/10
OA E
Answer is p>40
DS
2. At least 100 students at a certain high school study Japanese. If 4 percent of the students who study French also study Japanese, do more students at the school study French than Japanese?
1). 16 students at the school study both French and Japanese.
2). 10 percent of the students at the school who study Japanese also study French.
OA is B
3. If it took Carol 1/2 hour to cycle from his house to the library yesterday, was the distance that he cycled greater than 6 miles? ( 1mile=5,280feet)
1). The average speed at which Carlos cycled from his house to the library yesterday was greater than 16 feet per second.
2). The average speed at which Carlos cycled from his house to the library yesterday was less than 18 feet per second
OA is E
4. . How many different prime numbers are factors of the positive integer n?
1). four different prime numbers are factors of 2n.
2). four different prime numbers are factors of n^2.
OA B
5. A certain list of 100 data has an average of 6 and a standard deviation of d, where d is positive. Which of the following pairs of data, when added to the list, must result in a list 0f 102 data with standard deviation less than d?
A. -6 and 0
B. 0 and 0
C. 0 and 6
D. 0 and 12
E. 6 and 6
OA E
6.
Ann $450,000
Bob $360,000
Cal $190,000
Dot $210,000
Ed $680,000
The table above shows the total sales recorded in July for the five salespeople. It was discovered that one of Cal’s sales was incorrectly recorded as one of Ann’s sales. After this error was corrected, Ann’s total sales were still higher than Cal’s total sales, and the median of 5 sales totals was $330,000. What was the value of the incorrectly recorded sale?
7. Circle C and line k lie in the xy-plane. If circle c is centered at the origin and has radius1, does line k intersect circle c?
1). the x-intercept of line k is greater than 1
2). the slope of line k is -1/10
OA E
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