Question

Seafloor rocks from a secret area above the Arctic Circle will recently analyzed by the globe. The company had a contract with spacegov.bids to test the rocks for nickel. Zieglow found that setting samples from the first location were composed of an average of 8.43% nickel. Six samples from the second location yielded an average of 7.81% nickel. What was the overall average nickel content of the rock samples

Answer 1

The overall average nickel content of the rock samples is approximately 7.97%.

Explanation:

To find the overall average nickel content of the rock samples, we need to take into account the number of samples from each location. Since we know the average nickel content of each set of samples, we can use a weighted average formula:

overall average nickel content = (total nickel content from first location + total nickel content from second location) / (total weight of samples from both locations)

To calculate the total nickel content from each location, we need to multiply the average nickel content by the number of samples:

total nickel content from first location = 8.43% x 1 sample = 8.43%

total nickel content from second location = 7.81% x 6 samples = 46.86%

To calculate the total weight of the samples from both locations, we need to add up the number of samples:

total weight of samples from both locations = 1 + 6 = 7

Now we can substitute these values into the formula and calculate the overall average nickel content:

overall average nickel content = (8.43% + 46.86%) / 7 ≈ 7.97%

Therefore, the overall average nickel content of the rock samples is approximately 7.97%.