What is the product of 5,811 x 102 = ________? 5,811 581,100 581,110 581,200
1 answer:
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Answer:
Mean is 3.05
Standard deviation is 1.69.
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they are foreign, or they are not. This means that we can solve this problem using concepts of the binomial probability distribution.
Binomial probability distribution
The probability of x sucesses on n repeated trials, with p probability.
In this problem, we have a sample of 50 students, so . The proportion of all UNC students that are foreign students is 0.061, so
.
The mean is given by the following formula:
The standard deviation is given by the following formula:
Step-by-step explanation:
a.
Initial mass of the isotope = x
Time taken by the sample to decay its mass by 41% = t
Formula used :
where,
= initial mass of isotope = x
N = mass of the parent isotope left after the time, (t) = 59% of x = 0.59x
= half life of the isotope = 4.5 billion years
= rate constant
Now put all the given values in this formula, we get
t = 3.4 billion years
The age a rock is 3.4 billion years.
b.
Initial mass of the isotope = x
Time taken by the sample to decay its mass by 35%= t
Formula used :
where,
= initial mass of isotope = x
N = mass of the parent isotope left after the time, (t) = 65% of x = 0.65x
= half life of the isotope = 4.5 billion years
= rate constant
Now put all the given values in this formula, we get
t = 2.8 billion years
The age a rock is 2.8 billion years.