Answers
Answer:
0 ≤ an ≤ bn
The series ∑₁°° bn converges
The series ∑₁°° an converges by comparison to ∑₁°° bn.
0 ≤ an ≤ bn
The series ∑₁°° bn diverges
The comparison test is inconclusive for our choice of bn.
Step-by-step explanation:
an = 1 / (n² + n + 3) and bn = 1 / n²
The numerators are the same, and the denominator of an is greater than the denominator of bn. So 0 ≤ an ≤ bn.
bn is a p series with p > 1, so it converges.
Since the larger function converges, the smaller function also converges.
an = (3n − 1) / (6n² + 2n + 1) and bn = 1 / (2n)
If we rewrite bn as bn = (3n − 1) / (6n² − 2n), we can tell that when the numerators are equal, the denominator of an is greater than the denominator of bn. So 0 ≤ an ≤ bn.
bn is a p series with p = 1, so it diverges.
The larger function diverges. We cannot conclude whether the smaller function converges or diverges.
Related Questions
Solve 27* 9
I will give 100 points!!!!!!
Answers
27* 9 = 243 there your welcome and bless you
Stephen is in first grade, and his class is creating pasta necklaces! There are two types of pasta to use on the necklaces: long macaroni pieces, and small rotelle pieces which look like wheels with spokes. The directions are to have no more than 35 pieces of pasta on a necklace, and each string is long enough to hold 20 macaroni noodles or 55 pieces of rotelle. Select all of the true statements below.
Answers
Answer:
A: Stephen's necklace Can hold 12 macaroni noodles and 23 pieces of rotelle . C: Stephen's necklace Can have 35 pieces of rotelle E: Stephen's necklace Can have 5 macaroni noodles and 10 pieces of rotelleStep-by-step explanation:
Option A is true because when you add 12 macaroni noodles to 23 pieces of rotelle, you get 35 pieces of Pasta which is the maximum allowed per necklace.
Option B is untrue because 15 macaroni noodles and 21 rotelle pieces add up to 36 pasta pieces which is higher than the maximum of 35 allowed.
Option C is true because 35 pieces of Rotelle is not higher than the maximum allowed.
Option D is untrue because even though they still add up to the maximum allowed, a string can take no more than 20 macaroni noodles and this option shows 21 macaroni noodles which is over the limit.
Option E is true as this combination of macaroni noodles and rotelle below the maximum.
in quadrilateral abcd below,
Answers
Answer: where is the quadrilateral
Step-by-step explanation:
4y + 19 = x
3y - x= -13

Answers
Answer:
Do you need a step by step explaination on hiw to get the answer x= -13?
What is 11/9 as a decimal?
Answers
Answer:
1.2 (the 2 continuing on)
Step-by-step explanation:
Just divide the numerator by the denominator and you'll get your answer
Write thirty divided by five 3 ways
Answers
Answer:
30 divided by 5
[tex]\frac{30}{5}[/tex]
5⟌30
Hope this helps!
I am trying to choose a cellphone plan. Plan A charges $90 per month plus $0.15 per text message sent during the month. Plan B charges $60 per month plus $0.35 per text message sent during the month. In order for Plan A to be cheaper than Plan B, I would have to send how many messages in a month?
Answers
Answer:
258
Step-by-step explanation:
mark brainlest
Answer:
You will need to send 150 texts for them to be the same price
Step-by-step explanation:
A = .15x+90
B=.35x+60
.15x+90=.35x+60
-60 -60
.15x+30=.35x
-.15x -.15x
30=.2x
x=150
A criminologist developed a test to measure recidivism, where low scores indicated a lower probability of repeating the undesirable behavior. The test is normed so that it has a mean of 140 and a standard deviation of 40. Suppose an individual is in the 67th percentile in this exam.What is his or her corresponding recidivism score
Answers
Answer:
157.6
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score,
μ is the population mean, and
σ is the population standard deviation.
From the question:
Mean = 140
Standard deviation = 40
Recidivism score = x score = ??
z = z score of 67th percentile = 0.44
Hence,
0.44 = x - 140/40
Cross Multiply
0.44 × 40 = x - 140
17.6 = x - 140
x = 140 + 17.6
x = 157.6
Therefore, his corresponding recidivism score is 157.6
What is the measure of ZRIA?
R
PA
N
999
.
A. 55
B. 30°
O C. 95°
D. 60°
Answers
The measure of angle RIA is 55 degrees, option A is correct.
What is Coordinate Geometry?A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.
We have to find the measure of angle RIA
The opposite angle of RIA is LIK
Let us find the measure of LIK
∠FIL+∠LIK+∠KIN=180
30+∠LIK+95=180
∠LIK + 125 =180
Subtract 125 from both sides
∠LIK = 180 - 125
=55 degrees
∠LIK is equal to ∠RIA
∠RIA = 55 degrees
Hence, the measure of angle RIA is 55 degrees, option A is correct.
To learn more on Coordinate Geometry click:
brainly.com/question/27326241
#SPJ5
what is three blus six equal to
Answers
Answer:
Three plus six: 3 * 6
When we multiply x*y, we are summing x times the same number: y ory times the same number.(x)
In our case, we are summing three times six, so: 6 + 6 + 6 = 18
We could also say we are summing six times three: 3 + 3 + 3 + 3 + 3 + 3 = 18
Nowwe can say that 6 * 3 = 18
I hope this helps!!!!!!!!!!!
Find atleast 5 numbers between 1/2 and 1/3
Answers
Question 1
1 pts
The function f(x) = 4x + 10 models the amount of money Francis makes when babysitting
for x hours. How much money will he make for 2 hours of babysitting work?
2.
0-2
O-3
O 18
Answers
Answer:
18 would be yr answer
Step-by-step explanation:
A light bulb consumes 1800 watts-hours per day. How many watt- hours does it consume in 5 days and 6 hours
Answers
Answer:
9900 watts-hours is how much it consumes in a period of 5 days and 12 hours.............to check this: multiply 1800 by 5 and it equals 9000 then you divide 1800 by 2 because 12hours is a half day and it is 900 after all that you add 9000+900 and it equals 9900
Mark me as brainliest if u found the answer helpful
Answer: well just do the math 1800 times 24 is 43200 times 5 is 216000
and 1800 times 6 is 10800 plus 21600 is.......226800
Step-by-step explanation:
do the math!!!!!
Find the value of x
PLEAASEEE HELP!!!
Answers
Answer:
x = 37
Step-by-step explanation:
4x + 3 + x - 8 = 180
4x + x - 8 + 3 = 180
5x - 5 = 180
5x = 185
x = 37
Hope this helps!
Alan Jeff and Lucy all take their pets to the same vet. The pets are a dog a cat and a rabbit. The names of the pets are Blackie bandit and Moe. Read the clues to determine the kind of pet each owner has and the name of the pet. Mark the correct boxes on the grid to show your answers.
Answers
Answer:
i need at least a pick of the problom
Step-by-step explanation:
Answer:
huh?
Step-by-step explanation:
what is the solution to -3/4x + 2
Answers
Answer: 1/4x(3x+8)
Step-by-step explanation:
hope this helps
let me know if its correct!!
A fashion designer wants to know how many new dresses women buy each year. Assume a previous study found the standard deviation to be 1.3. He thinks the mean is 5.5 dresses per year. What is the minimum sample size required to ensure that the estimate has an error of at most 0.1 at the 95% level of confidence? Round your answer up to the next integer.
Answers
Answer:
649
Step-by-step explanation:
Given that
Mean number of dresses is 5.5
Standard deviation of the sample, S.D is 1.3
Margin of error, M.E is 0.1
Level of confidence is 95% or 0.95
The formula for margin of error, M.E is
Z * (S.D/√n) , where
Z = Value for level of confidence which is 1.96
Proceeding further, we have
0.1 = 1.96 * (1.3/√n)
0.1 = 2.548 / √n, making √n subject of formula, we have
√n = 2.548 / 0.1
√n = 25.48, squaring both sides
n = 25.48²
n = 649.23
Therefore the number of sample size we're looking for is n = 649.23, when rounded to the nearest integer, we have it to be 649
32 students play basketball and 25 Students play
volleyball . It is found that 13 students play both
games. Find the number of students playing at least
one game
dotos numbers Sets
n
و
Answers
Step-by-step explanation:
B = basketball; V = volleyball
n(B) = no of students playing only B
n(V) = no. of students playing only V
n(B∩V) = no. of students playing both B and V
Now:
32 students play basketball. Some of them could also be playing volleyball. Hence, the number of students playing only basketball will be 32 minus those that play both.
n(B) = 32 - 13 ............(Given that 13 play both games)
n(B) = 19
Similarly,
25 students play volleyball. Some of them could also be playing basketball. Hence, the number of students playing only volleyball will be 25 minus those that play both.
n(V) = 25 - 13
n(V) = 12
Thus, we have 19 students playing only B, 12 students playing only V and 13 students playing BOTH.
Clearly, the number of students that play at least one game is:
No. of students playing ONLY basketball +
No. of students playing ONLY volleyball +
No. of students playing BOTH
This can be given as:
n(B) + n(V) + n(B∩V)
= 19 + 12 + 13
= 44
Answer:
44 students
Step-by-step explanation:
Given parameters:
Number of students playing basketball = 32
Number of students playing volleyball = 25
Number of students playing both = 13
Unknown:
Number of students playing at least one game = ?
Solution:
Let us first find the number of students that play basketball only and volleyball only.
Number of students playing basketball only = 32 - 13 = 19
Number of students playing volleyball only = 25 - 13 = 12
So,
Least number of students that play at least one game = number of students that plays basketball only + number of students that plays volleyball only + number of students that plays both;
= 19 + 12 + 13
= 44 students
Unnithan, Houser, and Fernhall (2006) were interested in whether playing the game Dance Dance Revolution (DDR) met the American College of Sports Medicine recommendations for exercise to improve cardiovascular health. Twenty-two adolescents, 10 of whom were classified as overweight and 12 of whom were not overweight, played DDR for 12 minutes. During the 12 minutes, the researchers measured each participant's heart rate. On average, the researchers found no difference between the heart rates of the two groups. Both groups' heart rates were above the minimum recommended for cardiovascular exercise. Which of these requires an inferential statistic?
Answers
Answer:
The conclusion that both groups of overweight and non - overweight got cardiovascular benefit from playing DDR games requires Inferential statistics.
Step-by-step explanation:
Inferential statistics is simply a type of research statistic whereby a generalized conclusion is made about a larger group based on representative observations
Now,in the given question, we see that both group hearts were above the minimum recommended for cardiovascular exercise. Now we can infer that the DDR games played by both groups gave them cardiovascular benefits. This conclusion is an example of Inferential statistics where we generalize about a large population based on observations from a small sample.
Thus the conclusion that both groups of overweight and non-overweight got cardiovascular benefit from playing DDR games requires Inferential statistics.
How do you know what row of Pascal's Triangle to use to expand a binomial?
Answers
Answer:
I think you use the row that had the same number of terms as the exponent.
Step-by-step explanation:
Is 8.253725372537 a irrational number
Answers
Answer:
no
Step-by-step explanation:
Can you guys help me with this angle problem for Geometry tysm
Answers
Answer:
You need to solve for x
Step-by-step explanation:
3x + 5 + 10x - 7 = 180
13x + 5 - 7 = 180
13x - 7 = 175
13x = 182
x = 14
Plug in x
3(14) + 5 for QRT and 10(14) - 7 for TRS
QRT = 47 and TRS = 133
Answer:
QRT = 47
TRS = 133
Step-by-step explanation:
The two angles form a straight line so they add to 180
3x+5 + 10x-7 = 180
13x-2 =180
Add 2 to each side
13x-2+2 =180+2
13x= 182
Divide by 13
13x/13 = 182/13
x =14
We want QRT = 3x+5 = 3*14+5 = 42+5 = 47
TRS = 10x-7 = 10*14-7 = 140-7 = 133
Emilia made fewer than 27 bracelets last week. The variable b represents the number of bracelets. The inequality b less-than 27 describes the number of bracelets that Emilia made. Which could be a solution to the inequality?
26
29
33
40
Answers
Answer:
26
Step-by-step explanation:
26 is the only thing less than 27
Answer:
26
Step-by-step explanation:
Which equation has exactly one solution?
А
3(x +1) =3x+ 2
B
3x =r +2.c
C
3x =T +2
3(x +1) =3x +3
Please answer fast
Answers
Need help on angle measured geometry
Answers
-12x to each side
17=3x
X=17/3 or 5and2/3
17/3=15x
(17/3)/15
x = .37777
FINAL AWNSER = 37 degrees
A popular restaurant advertises that it delivers its orders within 30 minutes. Suppose the average delivery time for one store is 27 minutes with a standard deviation of three minutes. One particular order delivery has a z-score of –2.15. Which of the following statements is not a correct interpretation?
A.The delivery time was 2.15 standard deviations below the average delivery time.
B.The delivery time was less than the average delivery time by 2.15 standard deviations.
C.The delivery time was faster than the average delivery time by 2.15 standard deviations.
D.The delivery time was slower than the average delivery time by 2.15 standard deviations.
Answers
Answer: B. The delivery time was less than the average delivery time by 2.15 standard deviations.
Step-by-step explanation:
Given: A popular restaurant advertises that it delivers its orders within 30 minutes.
Suppose the average delivery time for one store is 27 minutes with a standard deviation of 3 minutes.
z-score value represents the number of standard deviations is the data value is far from mean.
Here, z-score = -2.15 which clearly indicates that the delivery time was 2.15 standard deviations below( '-' sign suggest value is below mean) the average delivery time.
Hence, the correct option is B.
Answer:
B
Step-by-step explanation:
estimate for 389 × 4=
Answers
Answer:
1556
Step-by-step explanation:
389 times 4 is 1556
Answer:
Step-by-step explanation:
First let’s do normal multiplication
389*4=1556
Now let’s estimate
2000(whenever you estimate a number, you just round it up to the highest place in the number)
Shoppers at a grand opening for a sporting goods store receive a gift bag when they make a purchase.
How often will a bag contain both a T-shirt and socks?
T shirt: Every fourth bag
Socks: Every third bag
Answers
Answer: Every 12th bag has both a T-shirt and socks.
Step-by-step explanation:
Given: T shirt: Every fourth bag
Socks: Every third bag
Least common multiple of 4 and 3 = 12 as 4 and 3 are coprime (i.e. their highest common factor is 1) and 4 x 3 = 12
It implies every 12th bag has both a T-shirt and socks.
Hence, Every twelfth bag has both a T-shirt and socks.
N+2=-14-n 46 POINTS WORK SHOWN
Answers
Answer:
woah that seems too complicated for my 9th grade brain
Step-by-step explanation:
n+2=−14−n
Move all terms containing n to the left side of the equation.
2n+2=−14
Move all terms not containing n to the right side of the equation.
2n=−16
Divide each term by 2 and simplify.
So the answer is: n=−8
Danielle put 4.902 gallons of gasoline in a gas tank. What is 4.902 written in expanded form?
Answers
4= ones
9= tenths
0= hundredths
2= thousandths