Answer:
41.8887 cm^2
Step-by-step explanation:
area of a circle
A = pi * r^2
A = pi * (3 + 4)^2
A = pi * 49
A = 153.94
120 / 360 = 1/3
153.94 / 3 = 51.3134
now area of inner circle
A = pi * 3^2
A = pi * 9
A = 28.274
28.274 / 3 = 9.4247
subtract
51.3134 - 9.4247 = 41.8887
That is false
If x=8 then the whole thing is 24+6 which is 30
so 30<25 is false
Note: You missed to add the dot plots chart. As I found the chart after a little research. Thus, I am attaching it and based on that dot plot chart I am solving the question which anyways would clear you concept.
Answer:
'There are about 2 more students in each class at Oak Middle School than at Poplar Middle School' is the correct statement.
Step-by-step explanation:
From the diagram, it is clear that
The data set containing Poplar Middle School:
20 20 20 21 21 21 21 21 22 22 22 22 22 22 22 23 23 23 23 24
The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:



The data set containing Oak Middle School:
20 21 21 22 22 23 23 23 23 24 24 24 25 25 26 26 27 27 28 29
The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:


So, the difference in mean will be:

Therefore, 'there are about 2 more students in each class at Oak Middle School than at Poplar Middle School' is the correct statement.
Answer:
Options (1) and (5) are the correct options.
Step-by-step explanation:
See attachment for the complete question.
Simon's work,
Area of the base = B =
=32.5 m²
Volume = Bh = 32.5(12) = 390 m³
Let's check the error's he made.
Area of the base of the triangular prism
B =
B = 30 m²
Volume of the prism = (Area of the triangular base)×(Height)
V = 30 × 4
V = 120 m³
Therefore, Options (1) and (5) are the correct options.