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question
To test this series for convergence n ✓no +7 n-1 00 1 You could use the Limit Comparison Test, comparing it to the series where p= NP n1 Completing the test, it shows the series: O Converges O Diver
Answers
The given series can be tested for convergence using the Limit Comparison Test. By comparing it to a known convergent series, we can determine whether the given series converges or diverges.
To test the convergence of the given series, we can apply the Limit Comparison Test. This test involves comparing the given series with a known convergent or divergent series. In this case, let's consider a known convergent series with a general term denoted as "p". We will compare the given series with this convergent series.
By applying the Limit Comparison Test, we take the limit as n approaches infinity of the ratio between the terms of the given series and the terms of the convergent series. If this limit is a positive, finite value, then both series have the same behavior. If the limit is zero or infinite, then the behavior of the two series differs.
In the given series, the general term is represented as n. As we compare it with the convergent series, we find that the ratio between the terms is n/n+1. Taking the limit as n approaches infinity, we see that this ratio tends to 1. Since the limit is a positive, finite value, we can conclude that the given series converges.
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Related Questions
The product of b and 3 is greater than or equal to -30.
Answers
Answer:
greater than
Step-by-step explanation:
positive is higher than negative
. Dillion deposits $150 into his account. One week later, he withdraws $26. Write an addition expression to represent this situation. How much higher or lower is the amount in his account after these two transactions?
Answers
Answer:
\(Expression = x + 150 +(- 26)\)
$124 higher
Step-by-step explanation:
Given
\(Deposit = \$150\)
\(Withdrawal = \$26\)
Required
Represent the situation
Determine how much higher or lower is the remaining amount
Let the initial amount in his account be represented with x
When he deposited, the balance becomes
\(Balance = x + 150\)
When he withdrew, the balance becomes
\(Balance = x + 150 + (-26)\)
Hence, the algebraic expression is
\(Expression = x + 150 +(- 26)\)
Calculating how much higher or lower
\(Balance = x + 150 + (-26)\)
Open bracket
\(Balance = x + 150 -26\)
\(Balance = x + 124\)
Recall that the initial amount in the account is x
The difference between the balance and the x is as follows
\(Difference = x + 124 - x\)
\(Difference = \$124\)
Hence, the account has a higher of $124 after both transactions
Eagleton Gaming Supplies started a petty cash fund on April 15 , with a balance of $250. By April 27 , it had $20 in cash and $230 in petty cash tickets. This included $180 of courier receipts, which they report as delivery expenses, and $50 of RONA receipts, which will be recorded as maintenance expenses. They recognized that the petty cash account was too small, so on May 1 , it was increased to have a $350 balance. Record the petty cash transactions.
Answers
The petty cash transactions can be recorded as follows:
1. April 15:
Dr. Petty Cash (Asset) $250
Cr. Cash (Asset) $250
(To establish the petty cash fund with a balance of $250)
2. April 27:
Dr. Delivery Expenses (Expense) $180
Cr. Petty Cash Tickets (Asset) $180
(To record courier receipts as delivery expenses)
Dr. Maintenance Expenses (Expense) $50
Cr. Petty Cash Tickets (Asset) $50
(To record RONA receipts as maintenance expenses)
Dr. Cash (Asset) $20
Cr. Petty Cash Tickets (Asset) $20
(To replenish the petty cash fund with $20 in cash)
3. May 1:
Dr. Petty Cash (Asset) $100
Cr. Cash (Asset) $100
(To increase the petty cash fund to a $350 balance)
The initial establishment of the petty cash fund on April 15 involves transferring $250 from the cash account to the petty cash account.
On April 27, the petty cash tickets are used to record the expenses. The courier receipts of $180 are recorded as delivery expenses, and the RONA receipts of $50 are recorded as maintenance expenses. Additionally, the petty cash fund is replenished with $20 in cash, representing the remaining cash on hand.
On May 1, the company decides to increase the balance of the petty cash fund to $350 by transferring an additional $100 from the cash account to the petty cash account. This adjustment reflects the decision to have a larger amount available in petty cash for day-to-day expenses.
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What is the solution to square root of 7x - 4 = 2 square root of x
Answers
The square root √(7 · x - 4) = 2 has a solution for the variable x is 8 / 7.
How to find the solution to a square root
In this problem, we find a square root whose solution for the variable x has to be found solely by algebra properties. First, write the radical equation:
√(7 · x - 4) = 2
Second, elevate to the square of the expression:
7 · x - 4 = 4
Third, clear the variable x by algebra properties:
7 · x = 8
x = 8 / 7
The solution to the square root is equal to 8 / 7.
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evaluate the expression 6x + 4 9/10 when x = 2/3.
Answers
x=2/3
6(2/3) + 4 9/10 =4 + 4 9/10 = 8 9/10
Answer:
2x-1=y,2y+3=x
Step-by-step explanation:
no explanation
PLS HELP ME FAST FREE 16 POINTS Rectangle PQRS is graphed on a coordinate plane with vertices P(–2, 1), Q(–2, 4), R(–4, 4), and S(–4, 1), as shown below.
Rectangle PQRS is reflected over the y–axis and then translated 2 units to the left. What are the coordinates of P'?
O(1, 0)
O(0, 1)
O(4, 1)
O(–4, –1)
Answers
Answer:
Pretty sure it's B!
Step-by-step explanation:
Over the Y axis- (2,1)
To the left two times= (0,1)
Hope this helped!
Answer:
(0,1)
Step-by-step explanation:
Since the problem is only asking about P', let's ignore the rest of the rectangle. P's coordinates are to be reflected across the y-axis, putting P' at (2,1). Move P' left by two units and your 'x' is 0, your 'y' is the same. So, (0,1)
Pls help me with this question xxx
Answers
Answer:
x =416
Step-by-step explanation:
8365 = 20x +45
8320=20x
x =416
Answer:
416 tokens, Brainliest please! or not whatever you do, enjoy the rest of your day :D!
Step-by-step explanation:
Camilla collected 405 tokens. We can use the formula p = 20x + 45 to solve for x. Substituting p = 8365, we get:
8365 = 20x + 45 8320 = 20x x = 416
So, Camilla collected 416 tokens.
Write the equation of the line fully simplified slope-intercept form.
Answers
Answer:
y=-3/2x+5
Step-by-step explanation:
you look for your y-intercept first then you find 2 points and do rise over run to get y=-3/2x+5
statistical considerations for use of composite health-related quality-of-life scores in randomized trials
Answers
Statistical considerations for the use of composite health-related quality-of-life scores in randomised trials
This is a research paper whose author is Andrew J. Vickers.
Abstract:
background: In randomised studies, first-rate of life measures are mechanically utilised as outcomes. contraptions with several subscales provide researchers the choice of combining a few or all scales right into a unmarried composite score. There is probably diverse clinically and scientifically sound alternative subscale combinations for the predominant outcome degree.foremost findings: The statistical effectiveness of diverse subscale combinations is decided with the aid of the relative effect size of the intervention on every subscale as well as the correlation between the subscales. easy formulae may be installed to determine the relative statistical efficiency of each clinically appropriate subscale aggregate. Hypothetical situations imply that the variety of participants required in a scientific trial is probably twice as huge for a few subscale combinations as for others.Conclusions:
Ina randomised examine, there are often robust scientific or scientific reasons to pick a positive subscale or composite.whilst there are several viable picks, statistical performance can help in guiding the choice of endpoint.To learn more about statistics, visit :
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Need answers quick pls!!!!!!
Answers
Answer:
A. False
B. True
C. False
D. False
E. True
Step-by-step explanation:
A. The diameter would be 6 inches.
B. Circumference = Diameter × 2
C. Area = Pi * Radius^2, NOT Pi^2.
D. Same as C.
E. Area = 3.14 × 1.5 × 1.5 = 7.065
To determine her breathing rate, Miranda divides up her day into three parts: morning, afternoon, and evening. She then measures her breathing rate at 4 randomly selected times during each part of the day. What type of sampling is used? A. Simple random B, Stratified C. Systematic D. Convenience E. Cluster
Answers
The type of sampling used in this scenario is B. Stratified sampling. Stratified sampling involves dividing the population into distinct subgroups or strata and then selecting samples from each subgroup.
In this case, Miranda divides her day into three parts: morning, afternoon, and evening. Each part of the day represents a stratum or subgroup. Miranda measures her breathing rate at 4 randomly selected times during each part of the day. This means she is taking samples from each of the three strata (morning, afternoon, and evening) and collecting data from within those subgroups.
By using stratified sampling, Miranda ensures that her samples represent the different parts of her day in a proportional and systematic manner, allowing her to capture potential variations in her breathing rate throughout the day.
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56 women make up an all female choir in a church. Two women are choen to ing together for a duet. How many poible pair could be choen for the duet?
Answers
The number of possible pair that could be chosen for duet is 1540 .
In the question ,
it is given that ,
total number of females in the choir group = 56 women
for duet the number of females that are required = 2 ,
the number of possible pair that can be chosen for the duet = ⁵⁶C₂ ,
⁵⁶C₂ = (56 × 55 × 54!)/2! × (56 - 2)!
= (56 × 55 × 54!)/2! × 54!
cancelling out the common factor 54! , we get
= (56 × 55)/2 .... because 2!= 2
= 28 × 55
= 1540
Therefore , The number of possible pair that could be chosen for duet is 1540 .
The given question is incomplete , the complete question is
56 women makes up an all female choir in a church. Two women are chosen to sing together for a duet. How many possible pair could be chosen for the duet ?
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Angela uses 2/3 cup of strawberries to make 5/6 liter of smoothie what is the unit rate in cups of strawberries per liter of smoothie
Answers
Answer:
14/65
Step-by-step explanation:
Answer:
5/4 cups of strawberries makes 1 litre of smoothie
Step-by-step explanation:
HELPPPP
The circle graph shows the percent of vegetables planted in a vegetable garden. There are 200 vegetable plants in all.
How many of the vegetable plants are green beans?
A. 12
B. 24
C. 76
D. 36
Answers
Number of green bean plants are 24. Therefore, option B is the correct answer.
What is circle graph?Circle graphs also known as pie charts are one of the most commonly used graphs to represent data using the attributes of circles, spheres, and angular data to represent real-world information. It is used to visualize information and data.
Given that, there are 200 vegetable plants in a vegetable garden.
From the circle graph, percentage of green beans is 12%.
So, number of green bean plants are
12% of 200
= 12/100 ×200
= 12×2
= 24
Therefore, option B is the correct answer.
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6.
Which of the quadratic functions has the narrowest graph?
A. y = –x2
B. y = 4x2
C. \(y=\frac{1}{4} x^2\)
D. \(y=\frac{1}{9} x^2\)
Answers
Answer:
B. y = 4x2
Step-by-step explanation:
Answer: The quadratic function y=4x^2 has the narrowest graph.
Let set A = {1, 3, 5, 7} and set B = {1, 2, 3, 4, 5, 6, 7, 8}.
Which set represents A ∪ B?
{1, 2, 3, 4, 5, 6, 7, 8}
{1, 3, 5, 7}
{1, 1, 2, 3, 3, 4, 5, 5, 6, 7, 7, 8}
{2, 4, 6, 8}
Answers
for what values of p is the series ∑n=1[infinity](−1)nnnp 2 conditionally convergent?
Answers
The values of p for which the series ∑(n=1)^(∞) ((-1)^n / (n^p)) converges conditionally are p > 0.
To determine the values of p for which the series ∑(n=1)^(∞) ((-1)^n / (n^p)) converges conditionally, we can apply the alternating series test.
According to the alternating series test, a series of the form ∑((-1)^n * b_n) converges conditionally if:
1. The terms b_n are positive and decreasing (|b_n+1| ≤ |b_n|), and
2. The limit of b_n as n approaches infinity is 0 (lim(n→∞) b_n = 0).
In this case, our terms are b_n = 1 / (n^p). Let's check these conditions:
1. The terms are positive and decreasing:
To satisfy this condition, we need to show that |(1 / ((n+1)^p))| ≤ |(1 / (n^p))| for all n.
Taking the ratio of consecutive terms:
|(1 / ((n+1)^p)) / (1 / (n^p))| = (n^p) / ((n+1)^p) = (n / (n+1))^p.
Since (n / (n+1)) is less than 1 for all n, raising it to the power p will still be less than 1 for p > 0. Therefore, the terms are positive and decreasing.
2. The limit of the terms as n approaches infinity is 0:
lim(n→∞) (1 / (n^p)) = 0 for p > 0.
Based on the conditions of the alternating series test, the series converges conditionally for p > 0.
Therefore, the values of p for which the series ∑(n=1)^(∞) ((-1)^n / (n^p)) converges conditionally are p > 0.
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10 i Draw the graph of linear equation 7x + y = 13. From the graph, find the points where the line meets the axes.
Answers
\(\large\underline{\sf{Solution-}}\)
Given equation of line is
\(\sf \: 7x + y = 13 \\ \)
On substituting x = 0, we get
\(\sf \: 0 + y = 13\\ \)
\(\sf \: y = 13 \\ \)
\(\bf\implies \:y = 13 \\ \)
On substituting x = 1, we get
\(\sf \: 7 \times 1 + y =13 \\ \)
\(\sf \: 7 + y= 13 \\ \)
\(\bf\implies \:y = 6 \\ \)
On substituting x = 2, we get
\(\sf \: 7 \times 2 + y =13 \\ \)
\(\sf \: 14 + y= 13 \\ \)
\(\bf\implies \:y = - 1 \\ \)
Hᴇɴᴄᴇ,
☆ Pair of points of the given equation are shown in the below table.
\(\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 0 & \sf 13 \\ \\ \sf 1 & \sf 6\\\\ \sf 2 & \sf - 1 \end{array}} \\ \end{gathered} \\ \)
☆ Now plot a graph using the above points.
☆ See the graph in attachment.
Now,
From graph, we concluded that given line meets the x - axis at (13/7, 0)
if the least-squares regression line for predicting y from x is y = 50 – 15x, what is the predicted value of y when x = 3?
Answers
The predicted value of y when x = 3, based on the least-squares regression line equation y = 50 - 15x, is y = 50 - 15(3) = 5.
The given least-squares regression line equation y = 50 - 15x represents a linear relationship between the variables x and y. In this equation, the coefficient of x (-15) represents the slope of the line, and the constant term (50) represents the y-intercept.
To find the predicted value of y when x = 3, we substitute x = 3 into the equation and solve for y. Plugging in x = 3, we have y = 50 - 15(3). Simplifying this expression, we get y = 50 - 45 = 5.
Therefore, when x = 3, the predicted value of y based on the least-squares regression line is 5. This means that according to the regression line, when x is 3, the expected or estimated value of y is 5.
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why are marcel’s and stephanie’s taxable incomes less than their annual salaries?
Answers
The taxable income of Marcel and Stephanie is less than their annual salary because they are allowed to make deductions from their income before calculating their taxable income.
These deductions include contributions to retirement plans, health insurance premiums, and other eligible expenses. The amount of deductions varies depending on factors such as the type of expense and the individual's tax filing status.
Thus, the taxable income is the amount of income that is subject to taxation, and it is generally lower than the individual's annual salary. In the case of Marcel and Stephanie, their taxable incomes are calculated by subtracting their deductions from their respective annual salaries.
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Complete Question:
Why are Marcel's and Stephanie's taxable incomes less than their annual salary? Marcel's annual salary is $30,000 and his income is $17,450. Stephanie's annual salary is $50,000 and her income is $37,600.
Jakob buys lunch at school on Mondays, Wednesdays, and Thursdays. He spends $3.50 for each lunch. Which equation can be used to find the number of weeks, w, it will take Jakob to spend $84 on lunch? 3.50 w = 84 (3 times 3.50) w = 84 3 w = 84 (3 + 3.50) w = 84
Answers
Answer:
The answer is ( 3 * 3.50 )w = 84
Explanation:
You first need to know how much he spends each week, which is 3.50 * 3.
Then, you need to find w in that equation by dividing that result from each side.
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Can we draw a triangle whose sides are 8 cm 5 cm and 13 cm?
Answers
Answer:
no
Step-by-step explanation:
side needs to be a bit bigger than that
There are y narts to this question. Yiu war be anked to movide fint 1 answer in each part. In our dataset we obsenve thiee variables that we strangly befieve do not have a relabonhip with wages, but that are correlated with the endoeenour variable riciuct. These variables mee dixt, which denotes the distance between the wroticer's viliage and the closest school, wralh yofene. Which is a dummin variable that takes the value of 1 if the worker regularly brushes hiv/her teeth ithe eovemment provides a free toothbrunh to each citizen and we believe that more educated people tend to brush their teeth more offen, and library, which is a dummy variable that takes the value of 1 if the worker has access to a library in his/her viliage. We estimafe our regression model using TSIS We want to test if our instruments satisfy the relevance requirement. In the 1 st stage of TSLS we estimate the following equation: edue =π0+π1 diat +π2 aralhygiene +π1 hitrary +π4 erper +NH What is the null hypothesis to test for instruments' relevance? A) H0:π1=π2=π3=π4=0. B) H0:π1=π2=π3=0. C) H0:π2=π3=π4=0. D) H0:π2=0 or π3=0 or π4=0. E) HD:π1=0 or π2=0 or π3=0. F) H0:π1=0 or π2=0 or π3=0 or π4=0. Answer:
Answers
The null hypothesis to test for instruments' relevance is option D) H0:π2=0 or π3=0 or π4=0.In order to test the relevance of the instrument, the first stage equation's null hypothesis should be stated as: H0: π2 = 0 or π3 = 0 or π4 = 0.The relevance requirement will be fulfilled if we can refute the null hypothesis.
The null hypothesis will not be rejected if the F-statistic is less than 10.0. However, if the F-statistic is greater than 10.0, the null hypothesis will be rejected, indicating that the variables are relevant and that the instrument satisfies the relevance requirement.In summary, to test for instruments' relevance in TSLS, the null hypothesis of the first stage equation is stated as H0: π2 = 0 or π3 = 0 or π4 = 0.
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a random number generator produces a sequence of 12 digits (0, 1, ..., 9). what is the probability that the sequence contains at least one 3? (hint: consider the probability that it contains no 3's. round your answer to four decimal places.)
Answers
The probability that the number generated contains the digit 3 at least once is 0.7458.
Probability that there is digit 3 at least once = 1- P(no 3s in the number)
Total probability is, 10^13.
Here the digits are 0 to 9. we have 10 choices and the digits can be repeated hence the total probability is 10^13.
Now, if there is no 3, the choices will 9, hence the probability is 9^13.
Further, the probability of an event happening, is equal to the
favourable outcomes/total outcomes.
Hence, we get the probability of no 3's is 9^13/10^13
=0.2542
Probability that there is digit 3 at least once = 1- 0.2542
=0.7458
Therefore, the probability of at least one 3 is 0.7458.
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Which of the following looks the most like a straight angle?
A. The letter I
B. The letter T
C. The letter X
D. The letter O
Answers
The letter I
hope it helps
Answer:
The letter l
Answer A is correct
hope this helps
brainliest appreciated
good luck! have a nice day!
what is the slope of the line passing through (-12, 145) and (26, -235)?
Answers
Answer:
slope = -10
Step-by-step explanation:
HELP
increase 130 by 20%
Answers
Answer: 156
Step-by-step explanation:
130 x 0.2 = 26
130 + 26 = 156
130x20%
130x0.2=26
130+26=156
When x³2x2-15x is factored completely, which expression is one of the factors?
A. X-5
B. x + 5
C. x2 – 5x
D. x2-2x-15
Answers
We can factorize the cubic equation to get the following:
x³ + 2x² - 15x = x*(x + 5)*(x - 3)
There we can see the factor x + 5, so the correct option is B.
Which expression is one of the factors?We want to factorize the expression:
x³ + 2x² - 15x
First we can take x as a common factor so we get:
x*(x² + 2x - 15)
Now we can find the solutions of:
(x² + x - 15) = 0
To factorize the rest.
Using the quadratic formula, we will get:
\(x = \frac{-2 \pm \sqrt{2^2 - 4*1*(-15)} }{2*1} \\\\x = \frac{-2 \pm 8 }{2}\)
So the two solutions are:
x = (-2 -8)/2 = -5
x = (-2 + 8)/2 = 3
Then the complete factorization of the cubic equation is:
x³ + 2x² - 15x = x*(x + 5)*(x - 3)
Then the correct option is B.
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round the nearest whole number
Answers
Answer:
234.5678
Step-by-step explanation:
When rounding to the nearest whole number if the first number after the decimal point if it is 5 it stays the same, if it is less than 5 ; 1,2,3,4 you round down, larger than 5; 6,7,8,9 you round up.
Answer:
29
Step-by-step explanation:
if u put 234.56 divided by 8 into a calculator, you get 29.32
PLEASE ANSWER WITH A PROPER ANSWER QUICKLY
If the first equation is multiplied by 3 and then the equations are added, the result is _____.
3 x + y = 3
x - 3 y = -2
8 x = 7
10 x = 7
10 x = 11