Question

in 2015, the state of colorado had 3.35 million cattle and calves, of which 115,000 died. of those deaths, 5,080 were attributed to predators and the rest to other issues (respiratory problems, old age, weather - related incidents, etc.). of the deaths attributed to predators, approximately 65% were due to coyotes, 15% to black bears, and 1% to wolves.
to help citizens decide on their vote to reintroduce wolves, calculate the percentage of total cattle/calf deaths in 2015 caused by wolves (rounded to the nearest hundredth decimal place).

Explanation:

Step1: Calculate the number of deaths caused by wolves

The number of deaths attributed to predators is \(5080\). The percentage of predator - related deaths due to wolves is \(1\%\). So the number of deaths caused by wolves is \(5080\times0.01 = 50.8\)

Step2: Calculate the percentage of total cattle/calf deaths caused by wolves

The total number of cattle/calf deaths is \(115000\). The formula for percentage is \(\frac{\text{Number of wolf - related deaths}}{\text{Total number of deaths}}\times100\%\)

Substitute the values: \(\frac{50.8}{115000}\times 100\%=\frac{5080}{11500000}\times100\%\)

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Answer:

\(0.04\%\)