Answer: (29.35, 40.95)
Step-by-step explanation:
Formula to find the confidence interval for population mean :-
, where 
= sample mean.
z*= critical z-value
n= sample size.
= Population standard deviation.
As per given , we have
n= 37
Using z-table, the critical z-value for 95% confidence = z* = 1.96
Then, the confidence interval for the population mean will be :
Hence, a 95% confidence interval for the population mean = (29.35, 40.95)
The interest rates required to get a total amount of $2,420 from compound interest on a principal of $2,000 compounded 1 times per year over 2 years is 10% per year.
<h3>What is compound interest?</h3>
The interest on savings that is calculated on both the initial principal and the interest accrued over time is known as compound interest.
The concept of compound interest, also known as "interest on interest," is thought to have first appeared in Italy in the 17th century. It will accelerate the growth of a sum more quickly than simple interest, which is calculated only on the principal sum.
Money is multiplied more quickly through compounding, and the more times it is compounded, the higher the compound interest will be.
Using the formula A = P(1 + r/n)^nt
Solving for rate r as a decimal
r = n[(A/P)^(1/nt) - 1]
r = 1 × [(2,420/2,000)^{1/(1)(2)} - 1]
r = 0.1
Then convert r to R as a percentage
R = r × 100
R = 0.1 × 100
R = 10%/year
Learn more about compound interest
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Diana had chocolate, and ate some, leaving 0.75 of it for Sarah.
Where are the inequalities?
Answer:
Step-by-step explanation:
Given
Required
Probability of selecting a yellow then orange rock
From the question, we understand that the probability is that of without replacement.
Since the yellow, is first picked.
We need to determine the probability of picking a yellow rock, first.
The rock has reduced by 1;
Next is to determine the probability of picking an orange rock
The required probability is calculated as thus:
