The dot plots below show the test scores of some mathematics students and some science students: Two dot plots are shown one below the other. The top and the bottom plots have the title Mathematics Students and Science Students respectively. Below the line for each dot plot is written Mark. The markings on each line are from 30 to 50 at intervals of 1. For the top plot there are two dots each for 34 and 40 and 1 dot each for 32, 33, 35, 37, and 39. For the bottom plot there are 2 dots each for 43, 46 and 49 and 1 dot each for 41, 42, and 47. Based on visual inspection of the dot plots, which group of students appears to have the larger average score? The mathematics students The science students Both groups are similar. Not enough information is available to draw a conclusion.

Science students

When you find the average both plots using median, mean, or interquartile range, you will find that the score for the science students will always be greater than the score of the mathematics students. This is because none of the mathematics students scored higher than the science students, so the mean will always be greater.

MATHEMATICS :

Plot interval = 30 to 50

MEAN :

(34*2) + (40*2) + (32*1) + (33*1) + (35*1) + (37*1) + (39*1) = 324

Sample size, n = (2 + 2 + 1 + 1 + 1 + 1 + 1) = 9

Mean = 324 / 9 = 36

BOTTOM :

SCIENCE :

MEAN : (43*2)+(46*2)+(49*2)+(41*1)+(42*1)+(47*1) =

406

SAMPLE SIZE = (2 + 2 + 2 + 1 +1 +1) = 9

406 / 9 = 45.111

Step-by-step explanation: hope this helps

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap