It would be: 6/10 & 12/20
<span>angle for DE and FE is <E
answer
E</span>
Using it's concept, it is found that there is a 0.96 = 96% probability of the next elk caught being unmarked.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem, 5625 - 225 = 5500 elks out of a total of 5625 are unmarked, hence the probability is given by:
p = 5500/5625 = 0.96.
More can be learned about probabilities at brainly.com/question/14398287
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($16.25×40)+($16.25×1.5×3)= $650 + 73.13 = $723.13
*regular hrs *overtime hrs
**multiplying the regular wage of $16.25 times 1.5 gives you the overtime, or time and a half, rate.
Answer:
The height of right circular cone is h = 15.416 cm
Step-by-step explanation:
The formula used to calculate lateral surface area of right circular cone is: ![s=\pi r\sqrt{r^2+h^2}](https://tex.z-dn.net/?f=s%3D%5Cpi%20r%5Csqrt%7Br%5E2%2Bh%5E2%7D)
where r is radius and h is height.
We are given:
Lateral surface area s = 236.64 cm²
Radius r = 4.75 cm
We need to find height of right circular cone.
Putting values in the formula and finding height:
![s=\pi r\sqrt{r^2+h^2}\\236.64=3.14(4.75)\sqrt{(3.75)^2+h^2} \\236.64=14.915\sqrt{(3.75)^2+h^2} \\\frac{236.64}{14.915}=\sqrt{14.0625+h^2} \\15.866=\sqrt{14.0625+h^2} \\Switching\:sides\:\\\sqrt{14.0625+h^2} =15.866\\Taking\:square\:on\:both\:sides\\(\sqrt{14.0625+h^2})^2 =(15.866)^2\\14.0625+h^2=251.729\\h^2=251.729-14.0625\\h^2=237.6665\\Taking\:square\:root\:on\:both\:sides\\\sqrt{h^2}=\sqrt{237.6665} \\h=15.416](https://tex.z-dn.net/?f=s%3D%5Cpi%20r%5Csqrt%7Br%5E2%2Bh%5E2%7D%5C%5C236.64%3D3.14%284.75%29%5Csqrt%7B%283.75%29%5E2%2Bh%5E2%7D%20%5C%5C236.64%3D14.915%5Csqrt%7B%283.75%29%5E2%2Bh%5E2%7D%20%5C%5C%5Cfrac%7B236.64%7D%7B14.915%7D%3D%5Csqrt%7B14.0625%2Bh%5E2%7D%20%20%5C%5C15.866%3D%5Csqrt%7B14.0625%2Bh%5E2%7D%20%5C%5CSwitching%5C%3Asides%5C%3A%5C%5C%5Csqrt%7B14.0625%2Bh%5E2%7D%20%3D15.866%5C%5CTaking%5C%3Asquare%5C%3Aon%5C%3Aboth%5C%3Asides%5C%5C%28%5Csqrt%7B14.0625%2Bh%5E2%7D%29%5E2%20%3D%2815.866%29%5E2%5C%5C14.0625%2Bh%5E2%3D251.729%5C%5Ch%5E2%3D251.729-14.0625%5C%5Ch%5E2%3D237.6665%5C%5CTaking%5C%3Asquare%5C%3Aroot%5C%3Aon%5C%3Aboth%5C%3Asides%5C%5C%5Csqrt%7Bh%5E2%7D%3D%5Csqrt%7B237.6665%7D%20%5C%5Ch%3D15.416)
So, the height of right circular cone is h = 15.416 cm