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1 answer:
I'm assuming your allowed to use a calculator for this? That's what I would do.
To go about the fraction, take the whole number and times it by the denominator, then add in the numerator to create a new fraction(a whole one not mixed). Then simply divide the numerator by the denominator.
193 is the new numerator and the new whole fraction is this and dividing it out gives you,
For the third one, just input it into a calculator,
To go about the fraction, take the whole number and times it by the denominator, then add in the numerator to create a new fraction(a whole one not mixed). Then simply divide the numerator by the denominator.
193 is the new numerator and the new whole fraction is this and dividing it out gives you,
For the third one, just input it into a calculator,
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Answer:
The half-life of the radioactive substance is of 3.25 days.
Step-by-step explanation:
The amount of radioactive substance is proportional to the number of counts per minute:
This means that the amount is given by the following differential equation:
In which k is the decay rate.
The solution is:
In which Q(0) is the initial amount:
8000 counts per minute on a Geiger counter at a certain time
This means that
500 counts per minute 13 days later.
This means that . We use this to find k.
So
Determine the half-life of the radioactive substance.
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The half-life of the radioactive substance is of 3.25 days.
If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate .
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Expand the numerator using the binomial theorem, then simplify and compute the limit.
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Answer:
D. As the sample size is appropriately large, the margin of error is ±0.15
Step-by-step explanation:
The number of students in the sample, n = 32 students
The percentage of the students that preferred studying abroad, = 25%
The confidence level for the study = 95%
As a general rule, a sample size of 30 and above are taken as sufficient
The z-value at 95% confidence level, z = 1.96
The margin of error of a proportion formula is given as follows;
Therefore, we get;
Therefore, the correct option is that as the sample size is appropriately large, the margin of error is ±0.15.