Answer:
Area shaded portion = 16/3 π - 8√3
Step-by-step explanation:
The shaded portion consists of 2 equal segment
∵ Two circles have the same radii = 4
∵ The the length of the common chord of the two circles = 4
∴ The central angle of each segment = π/3 (60° equilateral Δ)
∵ Area segment = area sector - area Δ
∵ Area sector = 1/2 r²Ф = 1/2 × (4)² × π/3 = 8/3 π
∵ Area Δ = 1/4 s² √3 = 1/4 × (4)² × √3 = 4√3
∴ Area segment = 8/3 π - 4√3
∴ Area shaded portion = 2(8/3 π - 4√3) = 16/3 π - 8√3
Answer: 2 box plots. The number line goes from 0 to 20. For East Side Middle School Debate Wins, the whiskers range from 5 to 14, and the box ranges from 10 to 12. A line divides the box at 11. For West Side Middle School Debate Wins, the whiskers range from 3 to 14, and the box ranges from 8 to 12. A line divides the box at 9.
Which of these inferences about the two debate teams are true? Check all that apply.
West Side is more consistent at winning.
East Side is more consistent at winning.
East Side typically wins more debates per year than West Side.
West Side typically wins more debates per year than East Side.
These graphs do not contain enough information from which to draw inferences.
Step-by-step explanation:
Answer:
1260
Step-by-step explanation:
180 x 2
<u>Answer:</u>
There are 243 ducks in the preserve.
<u>Explanation:</u>
Given:
In a wildlife preserve, 45 ducks are captured, tagged, and released.
Later, 200 ducks are examined, and two of them are tagged.
To Find:
To estimate how many ducks are in the preserve =?
Solution:
Now, we know that, out of 200 2 ducks are tagged, which means remaining 198 ducks are untagged.
Now, total ducks count = ducks with tags + ducks with out tag
Total ducks count = 45 + 198
Total ducks count = 243
Hence, there are 243 ducks in total.
The cutoff will be evaluated as follows:
let the cutoff be x
but
P(x>0.01)=1-P(x<0.01)=1-0.01=0.99
the z value corresponding to 0.99% is z=2.33
thus
2.33=(x-600)/60
solving for x we get:
139.8=x-600
x=739.8
