M 3. Lorelai conducted a survey of students in her class to observe the distribution of eye color.
The table shows the results of her survey.
Eye Color
Occurrence
Blue
40
Brown
58
Green
7
Hazel
14
Part A: Determine the empirical probability distribution for each eye color.
P(blue) =
P(brown)
P(green)
P(hazel)
Part B: Determine the empirical probability of a student that does not have green or hazel
eyes.
Part C: Determine the empirical probability of a student has green or blue eyes.
Part D: If the distribution was the same for the entire school of 1200 students, then about
how many students are expected to have blue eye

Asource of laser light sends rays ab and ac toward two opposite walls of a hall. the light rays strike the walls at points b and c, as shown below: what is the distance between the walls?

The stem-and-leaf plot shows the heights in centimeters of teddy bear sunflowers grown in two different types of soil. soil a soil b 5 9 5 2 1 1 6 3 9 5 1 0 7 0 2 3 6 7 8 2 1 8 3 0 9 key: 9|6 means 69 key: 5|8 means 58 calculate the mean of each data set. calculate the mean absolute deviation (mad) of each data set. which set is more variable? how do you know?

Evaluate 8x2 + 9x − 1 2x3 + 3x2 − 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 − 2x = x(2x2 + 3x − 2) = x(2x − 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the form† 8x2 + 9x − 1 x(2x − 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x − 1)(x + 2), obtaining 8x2 + 9x − 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x − 1).