A two-way frequency table shows grades for students in college and students in high school:

High school College Total
GPA above 3.0 14 26 40
GPA below 3.0 46 14 60
60 40 100

Based on this data, are "being in high school" and "GPA above 3.0" independent events?
Yes, P(high school ∩ GPA above 3.0) = P(high school) ⋅ P(GPA above 3.0)
No, P(high school ∩ GPA above 3.0) = P(high school) ⋅ P(GPA above 3.0)
Yes, P(high school ∩ GPA above 3.0) ≠ P(high school) ⋅ P(GPA above 3.0)
No, P(high school ∩ GPA above 3.0) ≠ P(high school) ⋅ P(GPA above 3.0)

hi there!

step-by-step explanation:

a roof pitch is basically for every inch rise there is 12 inches run.

the height of the roof is also known as the rafter.

formula: rafter^2 = rise^2 + run^2

rafter^2 = 5^2 + 12^2

rafter^2 = 25 + 144

rafter ^2 = 169"^2

the height of the roof from the lowest point to the highest point is 169"^2.

hope this : )

both the histogram and the stem and leaf plot will visually show how many shoppers were of various ages within each range of data.   the histogram does not give us the specific ages of these shoppers unlike the stem and leaf plot.a histogram does not give us a true range of the data because we do not know exactly how old the shoppers were. a stem and leaf plot will give exact ages, so we can determine the exact range along with all measures of center and the others measures of center.   with the histogram, we cannot find any of these.

step-by-step explanation: