T/F if an > 0 and lim n→[infinity] an + 1 an < 1, then lim n→[infinity] an = 0.
The expression aₙ > 0 and lim n → [∞] aₙ + 1 is true.
The term expression in math is defined as a sentence with a minimum of two numbers or variables and at least one math operation.
Here we have given that if an > 0 and lim n→[infinity] an + 1 an < 1, then lim n→[infinity] an = 0.
And we need to check whether the given statement is true or not.
While we looking into the given question, we have identified the following expression,
=> lim n → [∞] aₙ + 1
Here we have also know that the value of aₙ > 0.
When we equate the given expression with zero, we have get the following expression,
=> lim n → [∞] aₙ + 1 = 0
=> lim n → [∞] aₙ = -1
Here we have given the condition that, aₙ >0, so
=> lim n → [∞] aₙ = 0
Therefore, the expression is zero.
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A random sample of internet subscribers from the west coast of the United States was asked if they were
satisfied with their internet speeds. A separate random sample of adults from the east coast was asked the same
question. Here are the results:
A market researcher wants to perform a x2 test of homogeneity on these results.
What is the expected count for the cell corresponding to east coast subscibers who
responded "yes"?
You may round your answer to the nearest hundredth.
Answer:
19.2
Step-by-step explanation:
khan
The expected count for the cell corresponding to east coast subscribers who responded "yes" is 19.2.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
We need to first calculate the expected frequencies for each cell under the assumption that the null hypothesis of homogeneity is true.
The null hypothesis of homogeneity assumes that the proportion of internet subscribers satisfied with their internet speeds is the same on both the east and west coasts of the United States.
To calculate the expected frequencies, we can use the formula:
Expected frequency = (row total x column total) / grand total
For the cell corresponding to east coast subscribers who responded "yes":
Expected frequency = (row total for east coast x column total for "yes") / grand total
= (80 x 48) / 200
= 19.2
Therefore, the expected count for the cell corresponding to east coast subscribers who responded "yes" is 19.2.
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The greatest rectangular area that the farmer can enclose with 100 m of fencing is
m2.
Considering the vertex of a quadratic equation, the greatest rectangular area that the farmer can enclose with 100 m is of 625 m².
What is the vertex of a quadratic equation?A quadratic equation is modeled by the rule presented as follows:
y = ax^2 + bx + c
The vertex has these following coordinates.
\((x_v, y_v)\)
In which:
\(x_v = -\frac{b}{2a}\)\(y_v = -\frac{b^2 - 4ac}{4a}\)Considering the coefficient a, we have that the vertex can represent either a maximum or a minimum point in the function, as follows::
If a < 0, the vertex is a maximum point of the function.If a > 0, the vertex is a minimum point of the function.In this problem, the coefficients of the quadratic equation representing the area are given as follows:
a = -1, b = 50.
The greatest rectangular area that the farmer can enclose with 100 m is the y-coordinate of the vertex of the quadratic equation, hence:
\(y_v = -\frac{50^2 - 4(-1)(0)}{4(-1)} = 625\)
The area is of 625 m².
Missing informationThe quadratic equation for the area is:
A(w) = -w² + 50w
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Answer:
625
explanation:
trust
Answer question 4 and 5 for 50 points
4.) The correct equation that represents Fred's score would be = 2+f = 16. That is option B.
5.) coefficient = 5
variable = x
constant= -8 and 12
How to calculate the Fred's score?Sally game scores= 2 + f
Fred game scores = f
The total scores of Sally = 16 points
Therefore to calculate the score of Fred = 2+f = 16
Make f the subject of formula = f = 16-2 = 14
For the given equation which is 5x - 8 = 12. The parts of the equation include the following;
Coefficient= This is the number that is used to multiple a variable. Example is the 5 attached to X.
Variable: This is part of an equation that is varying or changing which is represented by a letter such as X in the given equation.
Constant: This is a fixed quantity that doesn't vary.
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la altura del muro en el que se encuentra el tanque es:
Answer:
3m•sen(60°) es la respuesta
What are the factor pairs of 81.
Answer:
9 × -9 = 81, (-9, -9) is a pair factor of 81.
Step-by-step explanation:
The monthly sales (in units) for a refrigerator in April 2021 through September 2021 were as follows: 48,55,46,54,53,52 What is the forecasted sales in August 2021 if you use exponential smoothing with a smoothing constant 0.31 ? Assume the forecast in April 2021 was 39 units. Use at least 4 decimals.
The forecasted sales in August 2021, using exponential smoothing with a smoothing constant of 0.31, is approximately 52.3251 units.
Exponential smoothing is a forecasting method that assigns weights to historical data points, giving more importance to recent observations. The forecasted value for a specific period is calculated by combining the actual value for that period with the forecasted value for the previous period. The formula for exponential smoothing is:
Ft = α * At-1 + (1 - α) * Ft-1
Where Ft is the forecasted value for period t, At-1 is the actual value for the previous period, Ft-1 is the forecasted value for the previous period, and α is the smoothing constant.
Given that the forecast in April 2021 was 39 units and the monthly sales data from April to September 2021 are 48, 55, 46, 54, 53, and 52 units, we can calculate the forecasted sales for each subsequent month using the exponential smoothing formula.
Using the given values and the formula, we can calculate the forecasted sales for August 2021 as follows:
Ft = 0.31 * 52 + (1 - 0.31) * 52.3251 = 52.3251
Therefore, the forecasted sales in August 2021, rounded to at least 4 decimals, is approximately 52.3251 units.
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In 2017 the Hindu festival of Diwali occurred on Thursday, 19 October. What fraction of the year was this
The Diwali occurred on 0.408 or 40.8% of the year in 2017.
To find the fraction of the year that Diwali occurred in 2017, we need to divide the number of days between Diwali and the start of the year by the total number of days in the year.
Diwali occurred on Thursday, October 19, 2017. The start of the year 2017 is January 1, 2017 which is a Sunday.
There are 365 days in a non-leap year. Since 2017 is not a leap year, there are 365 days in that year.
So the fraction of the year that Diwali occurred in 2017 can be calculated as: (days between Diwali and the start of the year) / (total days in the year) = ( 19 + 31 + 30 + 31 + 30 + 19 ) / 365 = (148) / 365 = 0.408
So, the Diwali occurred on 0.408 or 40.8% of the year in 2017.
Therefore, Diwali occurred on 0.408 or 40.8%
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Need help asappppppp
Answer:
your answer is 20
Step-by-step explanation:
20/tan 45 wich
Solve the following expression when
g = 7 and e = 5
4e + g2 - 5e-9-g
Answer:
Step-by-step explanation:
4(5) + 7^2 - 5(5) - 9 - 7
20 + 49 - 25 - 16
69 - 41 = 28
Which of the following statements is false?
o All squares are parallelograms.
o All rectangles are squares.
o All rectangles are parallelograms.
o All squares are rectangles.
Answer:
All rectangles are squares is false
Step-by-step explanation:
Plss give brainliest?
Answer:
All rectangles are squares
Step-by-step explanation:
Help Pls!!!!!! will give brainlest
Answer:
Very top one
Step-by-step explanation:
the dot is in between -34 and -35 so 34.5
and the arrow is pointing left which means less than
What is the value of
Answer:
2
Step-by-step explanation:
\(\dfrac{-8(17-12)}{-2(8-(-2))}= \\\\\\\dfrac{-8(5)}{-2(10)}= \\\\\\\dfrac{-40}{-20}= \\\\\\2\)
Hope this helps!
A parking space shaped like a parallelogram has a base of 17 feet and a height is 7 feet. A car parked in the space is 14 feet long and 5 feet wide. How much of the parking space is not covered by the car?
Answer:
49 feet
Step-by-step explanation:
To find the area of the parallelogram, we just need to multiply the base and height
7 x 17 = 119
Assuming the shape of the car is rectangular, we do the same: base x height
5 x 14 = 70
Now, we just subtract 70 from 119
119 - 70 = 49
Ms. wilson draws a model of the factorization of a polynomial with integer factors. her model is partially complete. a 2-column table with 2 rows. first column is labeled n with entries n squared, 5 n. second column is not labeled with entries blank, 40. first row is not labeled with entries n squared, blank. second row is labeled 5 with entries 5 n, 40. which equation is represented by ms. wilson’s model? n2 3n 40 = (n – 8)(n – 5) n2 13n 40 = (n 8)(n 5) n2 40n 13 = (n 8)(n 5) n2 40n 3 = (n – 8)(n – 5)
The equation represented by Ms. Wilson's model is n² + 13n + 40 = (n + 8)(n + 5)
How to determine the equation of the model?The partially completed model is given as:
| n
| n²
5 | 5n | 40
By dividing the rows and columns, the complete model is:
| n | 8
n | n² | 8n
5 | 5n | 40
Add the cells, and multiply the leading row and columns
n² + 8n + 5n + 40 = (n + 8)(n + 5)
This gives
n² + 13n + 40 = (n + 8)(n + 5)
Hence, the equation represented by Ms. Wilson's model is n² + 13n + 40 = (n + 8)(n + 5)
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determine if the following equation is an identity. x6+y6=(x2+y2)(x4−x2y2+y4)A) this is an identity because the equation is trueB) this is an identity because equation is not trueC) this is not an identity because the question is not trueD) this is not an identity because the equation is true
When we have an identity in algebraic terms, both sides are equal to one another.
So let's check the given equation, and expand the terms on the right side:
\(\begin{gathered} x^6+y^6=(x^2+y^2)(x^4-x^2y^2+y^4) \\ x^6+y^6=x^6-x^4y^2+x^2y^4+x^4y^2-x^2y^4+y^6 \\ x^6+y^6=x^6+y^6 \end{gathered}\)Since we could cancel out the terms in the middle, we end up as an identity for the left side is equal to the right side.
2) Therefore examining the options, we have the answer:
A)this is an identity because the equation is true
Find the slope of the line through the given points.
(-2,7) and (2,-5)
Answer:
y = -3x + 1
Step-by-step explanation:
hope this is right!
what is 7(8x+5x+8)−7x in it simplist form
Answer:
84x+56
Step-by-step explanation:
Hope this helps!
also for the future, so you don't have to waste your points, use math w ay it will solve ur problems :)
A large bag contains 7/8 pound of nails. How many 1/4-pound bags can be filled with this amount of nails?
please i need it now
Answer:
Step-by-step explanation:
7/8 divided by 1/4
7/8 x 4/1 =7/2 = 3/1/2
Three and a half bags
The variable, c, represents Central's score before the three-pointer. Express the total points scored in the game as a variable expression. Check all that apply.
Corrected Question
Central High School plays Eastern High School in a basketball game. Eastern had double the score of Central before Central scored a three-pointer as the game ended.
The variable, c, represents Central's score before the three-pointer. Express the total points scored in the game as a variable expression. Check all that apply.
2c + c 2c + 3 3c + 3 2c + c – 3 2c – c + 3 2c + c + 3Answer:
(C)3c + 3
(F)2c + c + 3
Step-by-step explanation:
Central High School's Score = cEastern had double the score of Central, therefore Eastern High School's Score =2cCentral then scored a 3 pointer.Therefore:
Total Points Scored in the game =c+2c+3 (This is option F)
Simplifying, we have:
c+2c+3=3c+3 (This is option C)
Therefore, C and F are the correct options.
A class has $90 to spend on a field trip. The field trip costs $2.50 per person and there will be 5 chaperones on the trip. One student used the inequality 90 greater-than 2.50 (x + 5) to find x, the number of students that the field trip budget could accommodate. Which best describes the error in the student’s inequality?
The expression representing the cost should be 2.50 (5 x).
The expression representing the cost should be 2.50 (x + 5 x).
The inequality symbol should be Greater-than-or-equal-to instead of > since up to and including $90 may be spent.
The inequality symbol should be Less-than-or-equal-to instead of > since less than or equal to $90 may be spent.
Answer:
The inequality sign is not correct because the > symbol means greater than. However, up to and including $90 can be spent so the inequality sign should be ≥ (greater than or equal to).
The best description of the error in the student's inequality is; The inequality symbol should be Greater-than-or-equal-to instead of > since up to and including $90 may be spent.
What is the representation of the inequality?We are told that;
Amount for the class to spend = $90
Cost of field trip = $2.5 per person
Number of persons on the trip = 5 persons
Inequality used by a student is;
90 > 2.5(x + 5)
The inequality sign used above is not correct because the they have $90 to spend and so the inequality sign should be ≥ (greater than or equal to).
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Circle all examples of categorical
data sets below.
Answer choices:
Number of rainy days during June
Favorite type of bagel
Personality type
Weight of all cars on the local
ferryboat
Please help!!
Which ordered pair is in the solution set of the system of equations y=-x+1 and y=x^2+5x+6
The solution set of the system of equations y = -x + 1 and y = x² + 5x + 6 includes the ordered pairs (-1, 2) and (-5, 6).
To find the ordered pair that is in the solution set of the system of equations y = -x + 1 and y = x² + 5x + 6, we need to solve the equations simultaneously.
First, let's set the two equations equal to each other:
-x + 1 = x² + 5x + 6
Rearranging the equation, we have:
x² + 6x + 5 = 0
Next, we can factor the quadratic equation:
(x + 1)(x + 5) = 0
Setting each factor equal to zero, we find two possible values for x:
x + 1 = 0
--> x = -1
x + 5 = 0
--> x = -5
Now that we have the possible values for x, we can substitute them back into either of the original equations to find the corresponding y-values.
For x = -1:
y = -(-1) + 1
= 2
So, the ordered pair (-1, 2) is in the solution set.
For x = -5:
y = -(-5) + 1
= 6
In conclusion, The ordered pair (-5, 6) is also in the solution set.
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Can someone do this work page for me please? I need it done TODAY. Show your work.
Answer:
Step-by-step explanation:
1. 1/3*60:
Multiply 1/3 by 60/1= 60/3= 20
1/3 of a minute = 20 seconds
2. 4/5*60:
multiply 4/5 by 60/1
=240/5= 48
4/5 of a minute= 48 seconds
3. 7/10*1000 = 7000/10 = 700/1 = 700
7/10 of a kilogram is 700 grams
4. 3/5*100 = 300/5 = 60
3/5 of a meter is 60 centimeters
x -4 ifx>4
|
Rsm question
Answer:
x>4
d'ou: x-4>4-4
x-4>0 voilà bonnne journée
Step-by-step explanation:
pls help fast / what do i put?
1.02 is the correct answer i hope this helped<3
1. an amusement park has a collection of scale models, with ratio 1 : 20, of buildings and other sights from around the country. the height of the united states capitol is 289 feet. what is the height in feet of its replica to the nearest whole number?
Answer:
the replica is 14ft tall
Step-by-step explanation:
Find the radius of convergence,R, of the series.
Find
the radius of convergence,R,
of the series.
9(?1)nnxn
Find
the radius of convergence,R,
of the series.
n= 1
R=
Find the interval,I, of convergence of the series. (Enter answer using interval notation.)
I=
The radius of convergence,R, of the series \(\[ \sum_{n=1}^{\infty} ~9(-1)^n~ nx^n \]\) is (1, ∞)
We know that for a power series ∑an (x - p)^n
if |x - p| < R then the series converges,
and if |x - p| > R then the series diverges.
Here, the number R is called the radius of convergence.
We have been given a series \(\[ \sum_{n=1}^{\infty} ~9(-1)^n~ nx^n \]\)
We need find the radius of convergence.
We use ratio test.
We know for \($\lim_{x\to\infty}~ | \frac{a_{n+1}}{a_n}|=L\)
if L < 1, then the series converges
and If \($\lim_{x\to\infty}~a_n \neq 0\) then \(\sum a_n\) diverges.
Using ratio test for given series,
\($\lim_{x\to\infty}~ | \frac{9(-1)^{n+1}~ (n+1)x^{n+1}}{9(-1)^n~ nx^n}|\\\\\\\)
= \($\lim_{x\to\infty}~ | \frac{(n+1)x^{n+1}}{nx^n}|\)
= \($\lim_{x\to\infty}~ | \frac{(n+1)x}{n}|\)
\(=|x| $\lim_{x\to\infty}~ | \frac{n+1}{n}|\)
= |x|
This means, the series is convergent for |x| < 1.
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Determine the t-percentile that is required to construct each of the following two-sided confidence intervals: (a) Confidence level =95%, degrees of freedom =15 (b) Confidence level =95%, degrees of freedom =24 (c) Confidence level =99%, degrees of freedom =13 (d) Confidence level =99.9%, degrees of freedom =15
The t-percentile defines the boundaries of the confidence interval and is equal to the critical value of t with a positive or negative sign, depending on whether the confidence interval is one-sided or two-sided.
A t-distribution table determines the t-percentile required to construct two-sided confidence intervals. The first step in determining the t-percentile is to know the degrees of freedom and confidence level. The next step is to find the critical value of t from a t-distribution table. The t-distribution table lists values for the probability density function, cumulative distribution function, and percentile points of the t-distribution.
The table is arranged in rows and columns, with the rows corresponding to the degrees of freedom and the columns corresponding to the significance level. The critical value of t is the value that separates the central area of the t-distribution from the tails of the distribution. It is used to define the boundaries of the confidence interval. The t-value is the same as the critical value of t, but it has a positive or negative sign depending on whether the confidence interval is one-sided or two-sided. The t-percentile that is required to construct two-sided confidence intervals is given by the following steps:
Step 1: To determine the t-percentile, the degrees of freedom and confidence level are needed.
Step 2: Find the critical value of t from a t-distribution table.
(a) 95% confidence level, 15 degrees of freedom.
Using the T-Distribution Calculator with degrees of freedom (df) = 15, a 95% confidence level, the value of t is found to be 2.1318. Therefore, to construct the confidence interval, the t-value is ± 2.1318.
(b) 95% confidence level, 24 degrees of freedom.
Using the T-Distribution Calculator with degrees of freedom (df) = 24, a 95% confidence level, the value of t is 2.064. Therefore, to construct the confidence interval, the t-value is ± 2.064.
(c) 99% confidence level, 13 degrees of freedom.
Using the T-Distribution Calculator with degrees of freedom (df) = 13, a 99% confidence level, the value of t is 3.012. Therefore, to construct the confidence interval, the t-value is ± 3.012.
(d) 99.9% confidence level, 15 degrees of freedom.
Using the T-Distribution Calculator with degrees of freedom (df) = 15, a 99.9% confidence level, the value of t is found to be 3.579. Therefore, to construct the confidence interval, the t-value is ± 3.579.
The t-percentile can be found using a t-distribution table, which lists the critical value of t for different degrees of freedom and significance levels. The t-percentile defines the boundaries of the confidence interval and is equal to the critical value of t with a positive or negative sign, depending on whether the confidence interval is one-sided or two-sided.
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If ray AB is the angle bisector of Im in geometry freshman year and I have absolutely no idea how to solve this I’m taking notes as I go so please help me!!
Answer:
x=8
Step-by-step explanation:
Angle bisector means it cute the big angle into two equal, smaller angles (like cutting a piece of cake in half)
therefore, you can set both smaller angles equal to each other, then solve for x
4x+1=33 Subtract 1 from both sides
4x=32 Divide both sides by 4
x=8
You'll get it, keep studying! :)