Answer:
The explicit arithmetic formula can be used to find the 39th term of this sequence.
[tex]a_{n} = a_{1} + d(n-1)[/tex]
In order to use this formula, we must know a_1, the first term, and , the common difference.
In this case, the first term is given as -15.
The difference can be found by looking at the difference between each following term. In this case, d = +5.
(Notice to get from -15 to -10, we add 5, to get from -10 to -5, we add 5, etc.)
Now that we have everything we need, we can plug everything in to find the 39th term:
[tex]a_{39} = -15 + 5(39-1)\\a_{39} = -15 + 190\\a_{39} = 175[/tex]
The 39th term of this sequence is 175.
*Note n represents the term number we are trying to find. That's why we substituted 39 for n when plugging everything into the formula. [tex]a_{39}[/tex] denotes the 39th term
For a population, a deviation score is computed as n - μ
True or False?
The given statement is false because A deviation score is computed as the difference between an individual data point and the mean of a distribution, not the population size (n) minus the population mean (μ).
The correct formula for computing a deviation score is:
Deviation Score = Data Point - Mean
In this formula, the data point represents an individual observation from the population or sample, and the mean represents the average value of the data set.
The deviation score measures how far each data point is from the mean. A positive deviation score indicates that the data point is above the mean, while a negative deviation score indicates that the data point is below the mean. The magnitude of the deviation score represents the distance between the data point and the mean.
The formula n - μ is used to calculate the sum of deviations from the population mean, which is used in certain statistical calculations such as the sum of squares. However, it does not represent a deviation score for an individual data point.
Therefore, the statement "A deviation score is computed as n - μ" is false. The correct formula for a deviation score is Data Point - Mean.
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what is account equations
Account equations are mathematical relationships used in accounting to record various financial transactions and help ensure that the accounting records remain accurate and balanced.
What are account equations and how are they used in accounting?Account equations serve as the foundation of double-entry bookkeeping, which is the system used in accounting to maintain accurate financial records.
The fundamental equation in double-entry bookkeeping is known as the accounting equation or the balance sheet equation which states that Assets = Liabilities + Owner's Equity.
This equation reflects the principle that every financial transaction affects at least two accounts and that the total value of assets must always be equal to the total value of liabilities and owner's equity.
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Air Yukon received a shipment of plastic trays on September 2. The invoice amounting to was dated August 15, terms 2/10, n/30 R.O.G. What is the last day for taking the cash discount, and how much is to be paid if the discount is taken?
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What is the last day for taking the cash discount?
Answer:
The terms of "2/10, n/30 R.O.G." mean that the buyer (Air Yukon) can take a cash discount of 2% if they pay the invoice within 10 days. Otherwise, the full amount is due within 30 days of the invoice date. "R.O.G." means "receipt of goods," indicating that the 30-day period begins on September 2, the date Air Yukon received the shipment.
To determine the last day for taking the cash discount, we start with the date of the invoice, August 15, and add 10 days for the discount period. This gives us August 25, which is the last day Air Yukon can pay the invoice and still receive the 2% discount.
If Air Yukon takes the cash discount, they will pay 98% of the invoice amount. We don't know the exact amount of the invoice from the information given, but if we assume it was $1,000, Air Yukon would pay $980 if they take the cash discount ($1,000 x 0.98).
• What is the range in battery life for each data set? (make it clear which range value is for
Brand X and Brand Y) (1 point)
• Using the ranges you found, describe the comparison in battery life for the brands. (1 point)
The range in battery life for each data set are Brand X: 11 and Brand Y: 17
The brand Y batteries last longer
How to determine the range in battery life for each data setFrom the question, we have the following parameters that can be used in our computation:
The box plots
Where, we have
Brand X: 10 to 21
Brand Y: 6 to 23
The range is the difference between the boundaries
So, we have
Brand X: 21 - 10 = 11
Brand Y: 23 - 6 = 17
Comparing the battery life for each data setIn (a), we have the range to be
Brand X: 11
Brand Y: 17
The above means that the brand Y batteries last longer than the brand X battery
This is because it has more spread i.e. bigger range
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Which statement is correct when solving the expression 5y2 – 3y2?
A. Add the coefficients (5 + 3).
B. Add the exponents (2 + 2).
C. Subtract the coefficients (5 – 3).
D. Subtract the exponents (2 – 2).
Answer:
C. Subtract the coefficients (5 – 3)
Step-by-step explanation:
[tex]5y^2-3y^2=(5-3)y^2=2y^2[/tex]
