Answer:
A)σ = 15.37 miles per hour
B) σ = 55.10 miles per hour
C) 39.73 miles per hour
Step-by-step explanation:
Formula for standard deviation is;
σ = √(Σ(x - μ)²)/(n - 1)
A) For large wild cats;
μ = Σx/n = (70 + 40 + 30 + 40 + 35 + 35 + 35 + 35 + 10)/9 = 36.67
σ = √((70 - 36.67)² + (40 - 36.67)² + (30 - 36.67)² + (40 - 36.67)² + (35 - 36.67)² + (35 - 36.67)² + (35 - 36.67)² + (35 - 36.67)² + (10 - 36.67)²)/(9 - 1)
σ = √236.1139
σ = 15.37
B) For various birds;
μ = Σx/n = (218 + 106 + 97 + 56 + 66 + 39 + 55 + 32 + 54 + 20 + 25 + 25)/12
μ = 66.0833
σ = √((218 - 66.0833)² + (106 - 66.0833)² + (97 - 66.0833)² + (56 - 66.0833)² + (66 - 66.0833)² + (39 - 66.0833)² + (55 - 66.0833)² + (32 - 66.0833)² + (54 - 66.0833)² + (20 - 66.0833)² + (25 - 66.0833)² + (25 - 66.0833)²)/(12 - 1)
σ = √3035.72
σ = 55.10
C) difference in standard deviations = 55.10 - 15.37 = 39.73 miles per hour
Answer:
Convert to a decimal by dividing the numerator by the denominator.
4.43349753 just easy
The correct answer is option B which is the volume of the prism is 216 km³.
<h3>What is the volume of the prism?</h3>
A prism is a three-dimensional solid with a triangular base called a triangular prism. The volume of the triangular prism is equal to the product of the area of the base and the height of the prism.
The volume of the prism will be calculated by using the formula below:-
V = Area of the base x Height
Since the base is a right-angle triangle so we will calculate the area of the right-angle triangle.
V = Area of the triangle x Height
V = ( 1/2 ) x 8 x 6 x ( 9 )
V = 216 km²
Therefore the correct answer is option B which is the volume of the prism is 216 km³.
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Answer:
Yes
Step-by-step explanation:
Reason is that a square has all the aspects of a parallelogram a rectangle and a rhombus. It gets its congruent diagonals from the rectangle which is congruent
So
bowl is a half sphere
cylinder is a cylninder
cone is cone
bowl:
area of circle=4/3 pi times r^3
half bowl=4/3 times 1/2 times pi times r^3=2/3pi r^3
cylinder=height times pi times radius^2
this cylinder=r times pi times r^2=pi times r^3
cone=1/3 times height times pi times radius^2
thgis cone=1/3 times r tiimes pi times r^2=1/3 times pi times r^3
compare
bowl=2/3 pi r^3
cylinder=pi r^3
cone=1/3 pi r^3
the cylinder is biggest
CYLINDER IS THE ANSWER
2.
sphwere=4/3 times radius^3 times pi
this sphere=4/3 times pi times r^3
cylinder=height times radius^2 time pi
this cylinder=2r times r^2 times pi=2r^3 times pi
cone=1/3 times height time r^2 times pi
this cone=1/3 times 2r times r^2 times pi=1/3 times 2r^3 times pi=2/3 times r^3 times pi
sphere:4/3 pi r^3
cylinder: 2 pi r^3
cone: 2/3 pi r^3
