Answer:
(a)
[tex]r =\lim_{n \to \infty} |\frac{\frac{2(n+1)!}{2^{2(n+1)}}}{\frac{2n!}{2^{2n}}}| = \lim_{n \to \infty} \frac{n+1}{4} = \infty[/tex]
(b)
if r<1, then it converges absolutely
if r>1, then it diverges
if r=1, then the test is inconclusive
Step-by-step explanation:
The ratio test is:
[tex]\lim_{n \to \infty} |\frac{x[n+1]}{x[n]}| = L[/tex]
if L<1, then it converges absolutely
if L>1, then it diverges
if L=1, then the test is inconclusive
I'm assuming that they used r instead of L. Anyway, to do the ratio test, you plug in n+1 into the equation and make that numerator.
Then you plug in n into the same equation and make that your denominator.
In our case, our equation is [tex]\frac{2n!}{2^{2n}}[/tex].
So lets plug in n+1 and make that our numerator.[tex]\frac{2(n+1)!}{2^{2(n+1)}}[/tex]
Now lets plug in n and make that our denominator. [tex]\frac{2n!}{2^{2n}}[/tex]
Now set up the ratio test.
[tex]\lim_{n \to \infty} |\frac{x[n+1]}{x[n]}| = L[/tex]
[tex]\lim_{n \to \infty} |\frac{\frac{2(n+1)!}{2^{2(n+1)}}}{\frac{2n!}{2^{2n}}}| = L[/tex]
if you simplify this, you would get (view image for the steps)
[tex]\lim_{n \to \infty} |\frac{\frac{2(n+1)!}{2^{2(n+1)}}}{\frac{2n!}{2^{2n}}}| = \lim_{n \to \infty} \frac{n+1}{4} = \infty[/tex]
L = infinity, which is > 1, therefore this series diverges
(a). The value of r from ratio test is greater than 1.
(b). The value of r tell about that the given series is converges or diverges.
The ratio test is given as,
[tex]\lim_{n \to \infty} (\frac{x(n+1)}{x(n)} )=r[/tex]
if [tex]r<1,[/tex] then series converges absolutely
if [tex]r>1,[/tex] then series diverges
if [tex]r=1,[/tex] then the test is inconclusive
Given infinite series is,
[tex]x(n)=\frac{2n!}{2^{2n} }[/tex]
[tex]\lim_{n \to \infty} \frac{\frac{2(n+1)!}{2^{2(n+1)} } }{\frac{2n!}{2^{2n} } } = \lim_{n \to \infty} \frac{n+1}{4}=\infty=r[/tex]
Here, Observed that value of r is greater than 1.
Thus, the given series is diverges.
Learn more:
https://brainly.com/question/23804543
Hello! Someone please help ASAP
Answer:
A.
Step-by-step explanation:
Since g(x) is the graph of f(x) but vertically stretched, the only viable option is g(x) = 2x² because the rest of the equations are vertically shrunk.
A function is a relation where each input value is assigned to
What percent of the players finished the walk in less than 2 hours? Show your work.
What is the probability that two randomly chosen players completed the walk in 2.9 hours or more? Show your work.
What is the probability that four randomly chosen players completed the walk between 1.7 and 2.9 hours? Show your work.
What observations can you make about the number of participants who complete the walk in more than 3.5 hours, given that there are 1,200 participants?
What might you observe if the number of participants increased or decreased?
Answer:
I also need the same help :(((
Step-by-step explanation:
1. The percentage of the players who finished the walk in less than 2 hours will be 2.28%
2. The probability that two randomly chosen players completed the walk in 2.9 hours or more was 15.87%
3. The probability that four randomly chosen players completed the walk was between 1.7 and 2.9 hours 84%
4. The number of participants who complete the walk in more than 3.5 hours, given that there are 1,200 participants 0
5. if the number of participants increased, the probability would increase while if they decreased, the probability would decrease
What is Z-score?The z score is a measure used in probability to determine the number of standard deviations the raw score is above or below the mean, it is given by the equation:
[tex]Z=\dfrac{x-\mu}{\sigma}[/tex]
Given that:
the mean μ = 2.6 hours and a standard deviation(σ) of 0.3 hours.
[tex]Z=\dfrac{x-\mu}{\sigma}[/tex]
1) What percent of the players finished the walk in less than 2 hours.
To calculate this, we use x as 2 hours and then find the z score.
[tex]Z=\dfrac{x-\mu}{\sigma}=\dfrac{2-2.6}{0.3}=-2[/tex]
From the normal probability distribution table, P(x < 2) = P(z < -2) = 0.0228 = 2.28%
2) What is the probability that two randomly chosen players completed the walk in 2.9 hours or more
To calculate this, we use x as 2.9 hours and then find the z score.
[tex]Z=\dfrac{x-\mu}{\sigma}=\dfrac{2.9-2.6}{0.3}=1[/tex]
From the normal probability distribution table, P(x > 2.9) = P(z > 1) = 1-P(z<1) = 1 - 0.8413 = 0.1587
3. What is the probability that four randomly chosen players completed the walk between 1.7 and 2.9 hours
To calculate this, we first use x as 1.7 hours and then find the z score.
[tex]Z=\dfrac{x-\mu}{\sigma}=\dfrac{1.7-2.6}{0.3}=-3[/tex]
For x as 2.9 hours and then find the z score.
[tex]Z=\dfrac{x-\mu}{\sigma}=\dfrac{2.9-2.6}{0.3}=1[/tex]
From the normal probability distribution table, P(1.7 < x < 2.9) = P(-3 < z < 1) = P(z<1) - P(z < -3) = 0.8413 - 0.0013 = 0.84
4. What observations can you make about the number of participants who complete the walk in more than 3.5 hours, given that there are 1,200 participants?
To calculate this, we use x as 3.5 hours, a number of samples (n) = 1200, and then find the z score.
[tex]Z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}=\dfrac{3.5-2.6}{\dfrac{0.3}{\sqrt{1200}}}=104[/tex]
From the normal probability distribution table, P(x > 3.5) = P(z > 104) = 1-P(z<104) = 1 - 1 = 0
5. What might you observe if the number of participants increased or decreased?
if the number of participants increased, the probability would increase while if they decreased, the probability would decrease
To know more about Z-scores follow
https://brainly.com/question/25638875
Annie and Xenas each arrive at a party at a random time between 2:00 and 4:00. Each stays for 45 minutes and then leaves. What is the probability that Annie and Xenas see each other at the party?
Answer:
P(meet) = 55/64
P(meet) = 0.8594
P(meet) = 85.94%
Therefore, there is a 85.94% probability that Annie and Xenas see each other at the party.
Step-by-step explanation:
Let A denote Annie and X denotes Xenas.
The total time is 2 hours (2:00 to 4:00)
Both A and X stays for 45 minutes or 3/4 hours
The probability that A and X do not meet is given by
P(Not meet) = (3/4)/2 × (3/4)/2
P(Not meet) = 9/64
So the probability that A and X will meet is given by
P(meet) = 1 - P(Not meet)
P(meet) = 1 - 9/64
P(meet) = 55/64
P(meet) = 0.8594
P(meet) = 85.94%
Therefore, there is a 85.94% probability that Annie and Xenas see each other at the party.
What is the answer to question
Answer:
A
Step-by-step explanation:
I literally don't know how to explain this
A tank is 4 feet long, 6 feet wide and 10 feet
tall. How much water can that tank hold?
Answer:
Volume = 240 feet³
Step-by-step explanation:
We'll find it's volume
Volume = [tex]Lenth *Width*Height[/tex]
Where Length = 4, Width = 6, Height = 10
Volume = 4 * 6 * 10
Volume = 240 feet³
hwmp please- somebkdy kind kf struggling
Answer:
-5, 5
Step-by-step explanation:
Hope this helps
Owen runs a third of a trip at 3 meters per second, and then he runs at 5 meters per second for the rest of the trip. What is the average speed he runs for the entire trip? Express your answer as a mixed number.
Answer:
The answer in mixed number is [tex]=4\frac{0}{2}[/tex]Step-by-step explanation:
Note: When a body is travelling at uniform acceleration, the average velocity is given as [tex]Average -velocity= \frac{v+u}{2}\\\\[/tex]
Given
initial velocity u= 3 m/s
final velocity v= 5 m/s
[tex]Average -velocity= \frac{5+3}{2}\\\\[/tex]
[tex]Average-velocity= \frac{8}{2}[/tex]
To express this in mixed number we have [tex]=4\frac{0}{2}[/tex]
The partial receipt below shows the money, in dollars, Ryan spent at an online clothing retailer.
PRODUCT
QTY
PRICE
TOTAL
Socks
3
2.00
6.00
V-Neck
2
8.00
16.00
Shorts
1
15.00
15.00
What does 8.00 mean in this situation?
Choose 1 answer:
Ryan bought 8.00 V-Necks,
The price of each V-Neck Ryan bought was 8.00 dollars.
Answer:
Option (B)
Step-by-step explanation:
Picture attached shows a table having 4 columns,
Column 1). Name of products
Column 2). Quantity of each item
Column 3). Unit price of each item.
Column 4). Total value of each item.
8.00 lies in the column (3) which represents the price of each V-neck Ryan bought.
Therefore, Option (B) will be the answer.
Answer:
B
Step-by-step explanation:
had this question also
A line is defined by the equation 2x + 4y = -8. Determine the equation of
another line that will creare a linear system with
(a) no solution
(b) many solucions
(c) one solution
Answer:
so turn it into the other form:
2x+4y=-8
4y=-2x-8
y=-0.5-2
then:
a) y=-0.5x+44
b) y=-0.5x-2 (itself)
c) y=-55x-2 (they cut each other in (0,-2)
complete both I will give brainliest question if answer correct
Answer:
1. 5 3/4 - 2 1/4 = 3 1/12 2. 7 2/3 + 2 1/5 = 9 13/15
Step-by-step explanation:
1. 5 3/4 - 2 1/4
subtract the numbers on the side 5-2=3
subtract the fraction 3/4-1/4=2/4
reduce 2/4=1/2
add them together 3+1/2=3 1/2
2. 7 2/3 + 2 1/5
subtract the numbers on the side 7+2=9
find LCD of 2/3 and 1/5=
10/15+3/15=13/15
add them together 9+13/15=9 13/15
Answer: [tex]a)\ 3\dfrac{1}{2}[/tex]
[tex]b)\ 9\dfrac{13}{15}[/tex]
Step-by-step explanation:
a)
[tex].\quad 5\dfrac{3}{4}\\-\\.\quad\underline{ 2\dfrac{1}{4}}\\\\.\quad 3\dfrac{2}{4}\div\dfrac{2}{2}\quad =\quad \large\boxed{3\dfrac{1}{2}}[/tex]
b)
[tex].\quad 7\dfrac{2}{3}\times \dfrac{5}{5}=7\dfrac{10}{15}\\+\\.\quad 2\dfrac{1}{5}\times \dfrac{3}{3}=\underline{2\dfrac{3}{15}}\\\\.\qquad \qquad \quad \ \large\boxed{9\dfrac{13}{15}}[/tex]
is 1.25 the same as 25%?
Answer:
No
Step-by-step explanation:
1.25 as a percentage is 125%.
25% as a decimal is 0.25.
Is this function linear or nonlinear y=1/2x^{2}
will give brainliest
Answer:
nonlinear
Step-by-step explanation:
The word 'linear' means something having to do with a line. On a Cartesian Plane, a linear characteristic is a feature wherein the graph is a straight line. The line can cross in any direction, but it's always an instant line. A non-linear function has a shape that isn't an immediate line
The graph is nonlinear because it is not a straight line.
please mark me brainliest!
Answer:
Nonlinear.
Step-by-step explanation:
Since x is being squared, the equation is actually a parabola. The power of x has to be 1 for the function to be a linear function, so this equation is nonlinear.
Hope this helps!
Which statement is true regarding the graphed functions?
A. f(4) = g(4)
B. f(4) = g(-2)
C. f(2) = g(-2)
D. f(-2) = g(-2)
Answer:c. F(2)=g(-2)
Step-by-step explanation:
Can you please help me understand how to solve this
Answer:
Hope you understand this
Step-by-step explanation:
HAVE A GOOD DAY!
Answer:
m<ACD=113Option B is the right option.
solution,
<A=2x-9
<B=4x+2
<ACD=5x+13
The exterior angle of a triangle is sum of two opposite interior angles.
m<A+m<B=m<5x+13
[tex]or \: 2x - 9 + 4x + 2 = 5x +13 \\ or \: 2x + 4x - 9 + 2 = 5x + 13 \\ or \: 6x - 7 = 5x + 13 \\ or \: 6x - 5x = 13 + 7 \\ x = 20[/tex]
Replacing value,
[tex]angle \: acd \\ = 5x + 13 \\ = 5 \times 20 + 13 \\ = 100 + 13 \\ = 113[/tex]
Hope this helps....
Good luck on your assignment..
2. in a geometric progression
the first term is 64 and the
fourth term is 27. Calculate
(a) the common ratio
Answer:
0.75 or 3/4
Step-by-step explanation:
If we call the common ratio r, since 4 - 1 = 3 we can write:
64 * r³ = 27
r³ = 27/64
r = ∛(27/64) = ∛27 / ∛64 = 3 / 4
Answer:
(a) the common ratio = 3/4.
Step-by-step explanation:
First term a1 = 64
The fourth term a4 = a1 r^3 = 27
So a1 r^3 / a1 = 27/64
r^3 = (27/64)
r = ∛ (27/64
= 3/4.
PLEASE HELP WILL GIVE EXTRA POINTS For a hypothesis test of H0: p = 0.40 against the alternative Ha: p > 0.40, the z test statistic is found to be 2.25. What can be said about this finding? The finding is significant at both α = 0.05 and α = 0.01. The finding is significant at α = 0.05 but not at α = 0.01. The finding is significant at α = 0.01 but not at α = 0.05. The finding is not significant at α = 0.05 and α = 0.01.
Answer:
The finding is significant at α = 0.05 but not at α = 0.01.
Step-by-step explanation:
We are given with the following hypothesis below;
Null Hypothesis, [tex]H_0[/tex] : p = 0.40 {means that the population proportion is equal to 40%}
Alternate Hypothesis, [tex]H_A[/tex] : p > 0.40 {means that the population proportion is greater than 40%}
The z-test statistics given to us is 2.25.
Now, at 0.05 level of significance, the z table gives a critical value of 1.645 for the right-tailed test.
Since the value of our test statistics is more than the critical value of z as 2.25 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.
Now, at 0.01 level of significance, the z table gives a critical value of 2.33 for the right-tailed test.
Since the value of our test statistics is less than the critical value of z as 2.25 < 2.33, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.
This means that the finding is significant at α = 0.05 but not at α = 0.01.
Which of the following choices translates the sentence “the difference of three times a number and 20 is 13”?
Answer:
3x - 20 = 13
Step-by-step explanation:
1. The word is signals the equal sign.
The difference of three times a number and 20 = 13
2. The word difference signals subtraction.
3. The phrase a number sigals that the number is unknown, so a variable should be used. In this case, I'll use x.
4. Three times that number = 3x.
The difference = subtraction.
3x-20=13
Answer: the number is 11
3 times a number becomes 3x. is becomes an = sign rhen the given amount, 13
3x - 20 = 13
Step-by-step explanation:
3x - 20 =13
3x = 13 + 20
3x =33
x= 11
PLEWSE HELPPP THESE 2 QUESTIONSSZ
Answer:
According to the information Baiden's ratio =3
Total ratio=1+3+4=8
Total goals scored=32
Baiden score =3/8 ×32
=3×4
=12
therefore Baiden scored 12 goals
26. tax = 10/100×800
100 goes into 800 8 times
=10×8
=$80
Final bill = $800-$80
= $720
In a game the average score was 60 time score was 5/2 of the average what was Tim’s score?
Answer:
in my own reasoning not sure if I am correct
Step-by-step explanation:
first it said Tim score was 5/2 of the of the average score
and the average score is 60
so that will be 5/2 × 60 which is
= 150
ILL MARK YOU BRAINLIEST :))))) if you apply the changes below to the linear parent function, f(x)=|x|, what is the equation of the new function Shift 4 units left Shift 2 units up
Answer:
f(x) = |x + 4| + 2.
Step-by-step explanation:
When you shift the function to the left, the x-value changes, so you put the change within the absolute value. Also, within the absolute value, when you shift things to the right, you minus, and when you shift to the left, you add.
When you shift the function up, the y-value changes, so you put the changes outside of the absolute value. Shifting up means adding and shifting down means subtracting.
Hope this helps!
BRAINLIEST AND 20 POINTS!! PLEASE PLEASE PLEASe HELP ASAP!!!
Answer:
Option 2 and 4
Step-by-step explanation:
Area of the big rectangle to fit small ones:
15*11= 165Area of small rectangles:
A= 11*7=77B=2*11=22C=6*6=36D=6*5=30E=13*4=52Now, the answer options:
3E+2B= 3*52+2*22= 200 > 165 ⇒ noA+B+C+D= 77+22+36+30= 165 ⇒ yes2C+2D+2B= 2(36+30+22)=176 > 165 ⇒ noA+4B= 77+4*22= 165 ⇒ yesE+C+D+3B= 52+36+30+22= 140 < 165 ⇒ noMeggy was solving the following equation: 3x + 5 = 64 She concluded that the value of x is [tex]x=19.6666...[/tex] Is she correct?
Answer:
Yes, she is correct.
Step-by-step explanation:
[tex]3x+5=64\\\\3x+5-5=64-5\\\\3x=59\\\\\frac{3x}{3}=\frac{59}{3}\\\\ \frac{59}{3}=19\frac{2}{3}\\\\19\frac{2}{3}=19.666...\\\\ \text{Therefore}:\\x=\boxed{19.666...}[/tex]
The digit of 6 is repeating.
Lines / and m are parallel.
Answer:l and m?
Step-by-step explanation:
might I b correct...
Work out the length of AB. Give your answer to 3 significant figures
Answer:
D = 9.80
Step-by-step explanation:
To find AB, we'll use the distance formula:
Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
D = [tex]\sqrt{(10-1)^2+(3-7)^2}[/tex]
D = [tex]\sqrt{(9)^2+(-4)^2}[/tex]
D = [tex]\sqrt{81+16}[/tex]
D = [tex]\sqrt{96}[/tex]
D = 9.80 (Upto 3 sfs)
HURRY I NEED HELP PLEASE IM STUCK! :(
Answer:
0.6 then calculate which expression is equal to that
Step-by-step explanation:
arccos = cos^-1
Put that in calculator
What is the height of the prsim if there is 3 meters,2 meters, and the volume is 36 cublic meters
Answer: The height is 6 meters
Step-by-step explanation:
3 * 2 *h = 36 where h is the height
6h = 36
h = 6
Answer:
The answer is 6
Step-by-step explanation:
Because you would have to get 6h=36 alone so you would have to divide 6 by both sides. which gives you h=6
here is a sequence of numbers: 64,49,36,25,16. What is the name given to these numbers
Answer:
These are squares of numbers 8 to 4.
Step-by-step explanation:
The given sequence of numbers is given as:
64, 49, 36, 25, 16
First of all let us factorize each number:
[tex]64 = 8 \times 8\\49 = 7 \times 7\\36 = 6 \times 6\\25 = 5\times 5\\16 = 4\times 4\\[/tex]
We can see that every number is obtained by multiplying some other number by itself.
For example, 64 is obtained by multiplying 8 with itself i.e. 8 multiplied with 8.
49 is obtained by multiplying 7 with itself i.e. 7 multiplied with 7.
and so on.
So, each number is a square of some number.
The numbers are in decreasing order. (64 to 16)
i.e. we have square of numbers here.
Square of 8, square of 7, square of 6, square of 5, square of 4,
Generalizing the terms:
[tex]a_n = (9-n)^2[/tex] where n is from 1 to 5
The name given to the sequence is:
Square of (9-n) where n is from 1 to 5.
OR
square of numbers, numbers from 8 to 4 in decreasing order.
The graph of a line passes through the two points (-2, 1) and (2, 1). What is the equation of the line written in general
form?
Oy - 1= 0
Ox-y+1 = 0
OX+ y - 1= 0
Answer:
y - 1 = 0.
Step-by-step explanation:
First off, we need to find the slope between the two points. That would be (1 - 1) / (2 - -2) = 0 / 4 = 0.
So, we would have an equation y = mx + b, where m is the slope and b is the y-intercept. Since the slope is 0, we have y = 0x + b, or y = b.
If you examine the coordinates, y always equals 1. So, b = 1, and y = 1.
y = 1
y - 1 = 0.
Hope this helps!
Which of these equations have no solution? Check all that apply.
0 26x + 2) + 2 =2(x+3)+1
0 2x + 3(x+5)= 5(x-3)
4x + 3) = x + 12
4 - (2x + 5) = {(-4x - 2)
5(x + 4) - X= 4(x + 5) - 1
Answer:
B and E
Step-by-step explanation:
(26x+2)+2=2(x+3)+1 - solution = 1/8
2x+3(x+5)=5(x-3) - NO SOLUTION
4x+3=x+12 - solution = 3
4 - (2x + 5) = {(-4x - 2) - solution = -1/2
5(x + 4) - X= 4(x + 5) - 1 - NO SOLUTION