Answer:
314.2 cm^2
Step-by-step explanation:
The formula for the area of a circle of radius r is A = 3.14r^2.
With r = 10 cm, r^2 = 100 cm^2, and so the area of this circle is 314.2 cm^2, to the nearest tenth.
The volume outside the pyramid but inside the prism is 250 cubic centimeters.
Step-by-step explanation:
Step 1:
First, we determine the volumes of the rectangular prism and the pyramid.
The volume of a rectangular prism is calculated by multiplying its length, its width, and its height.
The length and width are both 5 cm while the height is 12 cm.
The volume of the rectangular prism .
The volume of the prism is 300 cubic centimeters.
Step 2:
The volume of a square pyramid is given by , where a is side length and h is the height of the pyramid.
The height of the pyramid is half of the prism, so cm and cm.
The volume of the pyramid
The volume of the pyramid is 50 cubic centimeters.
Step 3:
The volume outside the pyramid but inside the prism
The volume is 250 cubic centimeters.
Answer:
15% of $40 is $6
Step-by-step explanation:
40/100 = 40 cents * 10 = 400
400 cents is 4 dollars
50% of 4 is 2
15% of $40 is $6
Answer: A. Paul’s data has a bigger overall spread than Sally’s data
The range of Paul’s Data: 28-12=16
The range of Sally’s Data: 30-15=15
16>15. Therefore Paul’s data has a bigger overall spread than Sally’s
Why B is wrong: Remember that the interquartile range is the “box” range.
Paul’s IQR: 26-15=11
Sally’s IQR: 28-18=10
11<10 is false, so B is false.
Why C and D is wrong: The middle line in the IQR represented in each box and whisker plot is the median. Paul’s median is not equal nor greater than Sally’s median. 18=24 18<24 is false. Therefore, C and D are false.