Answer:
18 minutes
Step-by-step explanation:
A = A₀ (½)^(t / T)
where A is the final amount,
A₀ is the initial amount,
t is the time,
and T is the half life.
A = 140 when t = 10. Solve for the half life:
140 = 700 (½)^(10 / T)
0.2 = ½^(10 / T)
log 0.2 = (10 / T) log 0.5
10 / T = 2.32
T = 4.31
When A = 40, t is:
40 = 700 (½)^(t / 4.31)
0.057 = ½^(t / 4.31)
log 0.057 = (t / 4.31) log 0.5
t / 4.31 = 4.13
t = 17.8
Rounded to the nearest whole number, it takes 18 minutes.
Male Female Total
Income over $50,000 485 385 870
Income below $50,000 65 65 130
<span>Total 550 450 1,000
Probability of being male: 550/1000 = 0.55
Probability of earning over $50,000: 870/1000 = 0.87
0.55 x 0.87 = 0.4785
Probability of being male and earning over $50,000: 485/550 = 0.8818
</span><span>C) No, P(being male | the person earns over $50,000) ≠ P(being male)</span><span>
</span>
C=2
r
A=
r<span>²
C=2</span>
r=58
2r=58
r=29
A=
r<span>²
A=29</span><span>²</span>
A=841
Example of six ordered pairs with country names alongside their capitals are:
{(England, London), (USA, Washington DC), (India, New Delhi), (Nepal, Kathmandu), (Austria, Vienna), (Albania, Tirana)}.
<h3>What are Ordered Pairs?</h3>
- Ordered pair can be described as a pair of objects or numbers in a particular order.
- In an ordered pair, the order of the objects or numbers are very important. For example, (a, b) is not the same as (b, a).
Therefore, example of six ordered pairs with country names alongside their capitals are:
{(England, London), (USA, Washington DC), (India, New Delhi), (Nepal, Kathmandu), (Austria, Vienna), (Albania, Tirana)}.
Learn more about ordered pairs on:
brainly.com/question/1090891
