An old campfire is uncovered during an archaeological dig. Its charcoal is found to contain less than 1/1000 the normal amount of 
. Estimate the minimum age of the charcoal, noting that 
Answer:
57300 years
Step-by-step explanation:
Using the relation of an half-life time in relation to fraction which can be expressed as:
here;
N represents the present atom
represents the initial atom
t represents the time
represents the half - life
Given that:
Its charcoal is found to contain less than 1/1000 the normal amount of .
Then ;
However; we are to estimate the minimum age of the charcoal, noting that
so noting that , then:
If
Then
Therefore, the estimate of the minimum time needed is 10 half-life time.
For , the normal half-life time = 5730 years
As such , the estimate of the minimum age of the charcoal = 5730 years × 10
= 57300 years
Answer:
(1, 3)
Step-by-step explanation:
The center of a hyperbola can be found by looking at the midpoint between the two vertices.
Here, the two vertices are (1, 8) and (1, -2). We use the Midpoint Formula to figure out the vertex:
Midpoint is: 
Thus, the answer is (1, 3).
Hope this helps!
<u>Answer: </u>
Option(D) -each roll of the die has two equally likely outcomes
<u>Explanation: </u>
In probability theory, the binomial statistical distribution refers to a distinct distribution of no. of desired effects in sequential autonomous experiments, where each experiment ask a question for ‘yes’/’no’, and each with its own probable boolean-assessed outcome.
A binomial experiment must satisfy the following 4 conditions: (a) Number of trials should be fixed; (b) Every trial should be independent of another; (c) Only two outcomes are there; (d) the chance of each result from trial to trail remains
