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Answer and Step-by-step explanation:
When multiplying two numbers (or variables) of the same exponent, the solution would have the exponents adding each other:
When dividing two numbers (or variables) of the same exponent, the solution would have the exponents subtracting each other:
When a number with an exponent is being raised to an exponent, the solution would have the exponents multiplying each other:
When there are two variables in parentheses and an exponent on the outside, the exponent will power both variables:
Answer:
A. Margin of error = 128.79
B. The 99% confidence interval for the population mean is (7661.21, 7918.79).
Step-by-step explanation:
We have to calculate a 99% confidence interval for the mean.
The population standard deviation is know and is σ=500.
The sample mean is M=7790.
The sample size is N=100.
As σ is known, the standard error of the mean (σM) is calculated as:
The z-value for a 99% confidence interval is z=2.576.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 99% confidence interval for the population mean is (7661.21, 7918.79).
The remaining amount of the sample after 't' days would be 51. 74g
<h3>How to determine the amount</h3>We have the formula for amount to be;
A = Ao × (1/2)^ t/t^1/2
Where
t1/2 = half -life = 138 days
t = 1
Ao = 52g
A = Amount after decay
Substitute into formula
A = 52 × (1/2) ^ 1/138
A = 52 ×
A = 52 × 0. 9950
A= 51. 74 g
Thus, the remaining amount of the sample after 't' days would be 51. 74g
Learn more about radioactive decay here:
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