Answer:
<em>Step-by-step explanation:</em>
<em>Step 1. (The capture) Capture a sample total counted =958, and them back tagged counted=38,total tagged=56
</em>
<em>The idea is to estimate the proportion p = m/N of tagged =102.
</em>
<em>Step 2. (The recapture) After everything has settled down, capture a new sample of n fish. Count the number of tagged fish. Suppose that k of them are tagged.
</em>
<em>It is reasonable that, k/n would be a good estimante for p = m/N.
</em>
<em>Accordingly, for an estimate N of N, se solve the equation m/N= k/n.
</em>
You can multiply the base times the height
Answer:
Step-by-step explanation:
Remark
This is a cosine law problem.
a = 12
b = 15
C = 83
Notice that the angle is enclosed by 2 given sides. That's what a cosine problem looks like (one of the two choices.
Formula
c^2 = a^2 + b^2 - 2ab*cos(C)
Solution
c^2 = 12^2 + 15^2 - 2*12*15 * cos(83)
c^2 = 144 + 225 - 360 * cos(83)
cos(83) = 0.1219
c^2 = 144 + 225 - 360 * 0.1219
c^2 = 369 - 43.884
c^2 = 325.116
sqrt(c^2) = sqrt(325.116)
c = 18.031
To the nearest tenth, the answer is 18.0 and you must include the 0.
Answer:
The radius and height of the cylinder of maximum volume is 9 unit and 9 unit.
Step-by-step explanation:
Given that,
Radius = 9
According to figure,
Radius of cylinder = Radius of hemisphere
Center of cylinder base is also center of sphere.
Circular top of cylinder touching the top of hemisphere.
So, Height of cylinder = radius of hemisphere
Hence, The radius and height of the cylinder of maximum volume is 9 unit and 9 unit.
