Mr. Williams trains a group of student athletes. He wants to know how they are improving in the number of push-ups they can do.
1 answer:
Answer:
7.5 more push-ups
Step-by-step explanation:
From the dot plot attached :
Last month mean :
Σfx/Σf
Σfx = [(10*2)+(15*2)+(25*3)+(35*1)] = 160
Σf = (2 + 2 + 3 + 1) = 8
Mean = 160 / 8 = 20
This month mean :
Σfx/Σf
Σfx = [(10*1)+(15*1)+(25*1)+(30*3)+(40*2)] = 220
Σf = (1 + 1 + 1 + 3 + 2) = 8
Mean = 220/8
Mean = 27.5
Difference in mean :
This month mean - Last month mean
27.5 - 20
= 7.5
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Answer:
Surface area of the cube = 216 square units
Step-by-step explanation:
Let the length of a side of a cube = x unit
Diameter of the sphere inscribed in this cube = length of a side of the cube
Volume of the sphere =
Where r = radius of the sphere = units
36π =
36π =
36×24 = 4x³
x =
x = 6 units
Length of a side of the cube = 6 units
Surface area of the cube = 6×(Side)²
= 6×(6)²
= 216
= 216 square units
Part 1: 
Part 2: Sam is not correct because <span>he messed up the second step. He added 2x on both sides to get 7x, instead he should have subtracted. </span>
Part 2: Sam is not correct because <span>he messed up the second step. He added 2x on both sides to get 7x, instead he should have subtracted. </span>