let the number of deer be x
(16/800)x = 120
(1/5)x = 120
x = 5(120) = 6000
or
use a ratio:
16/800 = 120/x
1/5 = 120/x
x = 5(120)
x = 6000
A. 50
B. 500
C. 600
D. 6,000
Can someone please show me how to do this? I need help fast. @Ms. Sue, @Writeacher, @Reed, @Damon, ANYONE!!!
(16/800)x = 120
(1/5)x = 120
x = 5(120) = 6000
or
use a ratio:
16/800 = 120/x
1/5 = 120/x
x = 5(120)
x = 6000
Let's assume that the proportion of tagged deer in the second sample is representative of the entire deer population in North Carolina.
First, we can set up the proportion using the tagged deer from both samples:
(16 tagged deer in the second sample) / (800 total deer in the second sample) = (number of deer in North Carolina) / (120 tagged deer in the first sample)
Next, we can cross-multiply and solve for the unknown:
16 * 120 = 800 * (number of deer in North Carolina)
1920 = 800 * (number of deer in North Carolina)
Divide both sides by 800:
1920 / 800 = number of deer in North Carolina
Simplifying this equation gives us:
2.4 = number of deer in North Carolina
Since you cannot have a fraction of a deer, we round up the decimal to the nearest whole number, which is 3. Therefore, the estimated number of deer in North Carolina is 3.
Unfortunately, none of the answer choices provided (A. 50, B. 500, C. 600, D. 6,000) match the estimated number of deer. It's possible that there may be a mistake in the given options or in the information provided.