Response:
The number 40 can be found in Pattern B. Additionally, following the rule, each sequence will expand.
Detailed breakdown:
Let’s build each sequence. Recall that the guideline is to "add 15" to generate each sequence starting from the provided initial number.
Pattern A.
Pattern B.
Pattern C.
You can see that the number 40 appears in Pattern B. Moreover, per the rule, each pattern will show an increase.
Lacking information on the proportion, we will assume the sample proportion is 0.50
thus,
p = 0.50
The margin of error is set at 10 percentage points. This indicates that the error on either side of the population proportion is 5%, so E = 0.05
z = 1.645 (Z value for a confidence level of 90%)
The calculation for the margin of error when estimating population proportions follows:
Consequently, 271 students need to be part of the sample.
Answer:
(A) Approximately normal with a mean of $206,274 and a standard deviation of $3,788.
Step-by-step explanation:
The Central Limit Theorem asserts that for a random variable X that follows a normal distribution with a mean of 
and a standard deviation of 
, the sampling distribution of sample means, when drawn with size n, can be estimated as a normal distribution with a mean of and a standard deviation of 
.
Even if the variable is skewed, as long as n is no less than 30, the Central Limit Theorem still holds.
Population:
Right skewed
Mean $206,274
Standard deviation $37,881.
Sample:
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Mean $206,274
Standard deviation 
So the correct answer is:
(A) Approximately normal with a mean of $206,274 and a standard deviation of $3,788.
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Answer:
The exponential equation can be expressed as A = 600(1.04)^15
After 15 years, the value of the mutual fund will be $1,081
Step-by-step explanation:
The worth of the mutual fund after a specific number of years can be represented by the compound interest formula shown below;
A = P(1 + r/n)^nt
In this formula, A stands for the mutual fund's value after 15 years, P represents the principal amount invested, which is $600, r denotes the interest rate at 4% or 0.04 (thus, 4% = 4/100 = 0.04), n indicates the number of times compounding occurs per year (in this case, it is done once a year), and t represents the number of years, which is 15.
Now, substituting in these values gives us;
A = 600(1 + 0.04/1)^15
A = 600(1.04)^15
A = $1,081 approximately
