Alexis wants to make a paperweight at pottery class. He designs a pyramid-like model with a base area of 100square centimeters and a height of 6 centimeters. He wants the paperweight to weigh at least 300 grams. What is the lowest possible density of the material Alexis uses to make the paperweight?

1.5 gm per cubic cm

Step-by-step explanation:

Volume of pyramid is given by formula = 1/3(area of base * height)

Given in problem

base area = 100 sq. cm

height= 6cm

therefore volume of the pyramid = 1/3(100*6) = 200 cubic cm

Formula of density is = mass of the body/ volume of the body

minimum weight of required paperweight = 300 gm

minimum density of paperweight = 300/200 = 1.5 gm per cubic cm

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.