Ms. Willems surveyed her students about how long they studied for their last exam. The histogram shows her results. A histogram titled study times has time (hours) on the x-axis and relative frequency on the y-axis. 0 to 2, 8 percent; 2 to 4, 12 percent; 4 to 6, 29 percent; 6 to 8, 40 percent; 8 to 10, 10 percent.

Which is the best description of the data in the histogram?

Students mostly studied about 6 hours.
Students who studied longer did better on the test.
Students’ study times did not vary by much.
The majority of students studied between 4 and 8 hours.

25/4

step-by-step explanation:

call segment cd's length x. because dc and ab are parallel, angle acd and cab, so triangles adc and abc are similar and we can set up the equation x / ac = ac / ab, or x / 5 = 5 / 4 and x = 25/4.

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10