find the nth-order taylor polynomials of the given function centered at 0, for n0, 1, and 2. b. graph the taylor polynomials and the function.

1. By factor of \(\frac{1}{3}\) ,  the number of subscribers increasing every month.

2. The equations that represent the number of subscribers is,

                      \(S=150-2m\)

It is given that,

A blogger has 150 subscribers. Since then, the number of subscribers to

her blog has been doubling every 6 months.`

In 6 month, number of subscriber are doubling.

So that, In one month \(=\frac{2}{6}=\frac{1}{3}\)

By factor of \(\frac{1}{3}\) ,  the number of subscribers increasing every month.

Let us consider that number of month is m.

since, At the beginning of the year, a blogger has 150 subscribers

                           \(S=150-2m\)

Learn more about the rate of increase here:

https://brainly.com/question/25184007

False , the variance and standard deviation are not measures of central location

Given data ,

The variance and standard deviation are not measures of central location but measures of dispersion or spread of a dataset

Measures of central location include the mean, median, and mode, which represent the typical or central value of a dataset

The variance and standard deviation are measures of dispersion or spread in a dataset. They provide information about how the values in a dataset are spread out around the mean.

In order to understand the variability or dispersion of data points within a dataset, one must take into account both the variance and standard deviation. They provide information on the range of values and aid in calculating how far away from the mean certain data points are. In statistics and data analysis, these metrics are frequently used to comprehend and evaluate the variance of various datasets.

To learn more about variance click :

https://brainly.com/question/13041243

#SPJ1

Answer:

14x + 4

Step-by-step explanation:

Perimeter is the length of all sides added together

2(2x + 3) + 2(5x-1)

4x + 6 + 10x - 2

14x + 4

Answer:

Perimeter = 14x + 4 ⇒ 2 ( 7x + 2 )

Step-by-step explanation:

We know that the opposite sides of a parallelogram are equal to each other.

Therefore, to find the perimeter of the parallelogram you have to add the four sides together.

Perimeter = 2 ( 2x + 3 ) + 2 ( 5x - 1 )

Now let us solve the expression.

2 ( 2x + 3 ) + 2 ( 5x - 1 )

First, solve the brackets.

4x + 6 + 10x - 2

Now combine like terms

14x + 4 ⇒ 2 ( 7x + 2 )

Let me know if you have any other questions. :)

If we want to provide a 99% confidence interval for the mean of a population, the confidence coefficient will be 0.99. This means that there is a 99% probability that the true population mean falls within the calculated interval.

The confidence coefficient for a confidence interval represents the level of confidence we have in our estimate.

In the case of a 99% confidence interval, the confidence coefficient is 0.99. This means that we are 99% confident that the true population mean falls within the calculated interval. The confidence coefficient is derived from the desired level of confidence, which is typically expressed as a percentage.

A higher confidence level corresponds to a larger confidence coefficient. In practical terms, a 99% confidence interval indicates that if we were to repeat the sampling process multiple times and construct 99% confidence intervals, approximately 99% of those intervals would contain the true population mean.

To know more about population related question visit:

https://brainly.com/question/15889243

#SPJ11

The probability that the first tile is less than 15 and the second tile is even or greater than 25 is 0.448.

The probability is found as follows:

Favorable outcomes:

The first tile is less than 15: There are 14 tiles numbered from 1 to 14 in the first box that satisfy this condition.

The second tile is even or greater than 25: In the second box, there are 10 even tiles and 6 tiles greater than 25.

Total outcomes:

Total number of outcomes = 25 * 20 or 500

Therefore, the probability will be:

Probability = (14 * 16) / 500

Probability = 224 / 500

Probability = 0.448

Learn more about probability at: https://brainly.com/question/13604758

#SPJ1

Complete question:

Tiles numbered 1 through 25 are placed in a box. Tiles numbered 11 through 30 are placed in a second box. The first tile is randomly drawn from the first box. The second tile is randomly drawn from the second box. Find the probability that the first tile is less than 15 and the other tile is even or greater than 25.

Answer:

Why does it say download PDF?

The identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

ta: Mean time between calls to the center

tθ: Effective response time

∂a: Standard deviation of the time between calls to the center

∂θ: Standard deviation of the effective response time

ra: Rate of calls to the center (inverse of ta, i.e., ra = 1/ta)

rθ: Rate of effective response (inverse of tθ, i.e., rθ = 1/tθ)

Given information:

Mean time between calls to the center (ta) = 6 minutes

Standard deviation of time between calls (∂a) = 4 minutes

Effective response time (tθ) = 11 minutes

Standard deviation of effective response time (∂θ) = 20 minutes

Using this information, we can determine the values of the parameters:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/ta = 1/6 minutes^(-1)

rθ = 1/tθ = 1/11 minutes^(-1)

So, the identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

Learn more about Standard Deviation here:

https://brainly.in/question/50665860

#SPJ11

Given statement solution is :- The t-statistic associated with the test is approximately -0.28.

The t-statistic, which is used in statistics, measures how far a parameter's estimated value deviates from its hypothesised value relative to its standard error. Through the Student's t-test, it is utilised in hypothesis testing. In a t-test, the t-statistic is used to decide whether to accept or reject the null hypothesis.

To find the t-statistic associated with the test, we need to calculate the test statistic using the estimated slope coefficient, the null hypothesis, and the standard error.

The estimated slope coefficient is 4.93.

The null hypothesis is H₀: β₁ ≥ 5.14 (stating that the true slope coefficient is greater than or equal to 5.14).

The predicted slope's standard error is 0.74.

The formula to calculate the t-statistic is:

t = (estimated slope - hypothesized slope) / standard error

Plugging in the values:

t = (4.93 - 5.14) / 0.74

t = -0.21 / 0.74

t ≈ -0.28 (rounded to two decimal places)

Therefore, the t-statistic associated with the test is approximately -0.28.

For such more questions on t-statistic

https://brainly.com/question/28235817

#SPJ8

Answer:

It has got one solution since it is a linear equation which falls under polynomials

The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

To know more about concave mirror Visit:

https://brainly.com/question/31379461

#SPJ11

Answer:

A

Step-by-step explanation:

5x10=50

50/2=25

25=area of triangle

10x10=100

100=area of square

100/25=4

4= triangles in square

Answer:

110 in ³

Step-by-step explanation:

volume = surface area x height

= 22 in² × 5 in

= 110 in³

The graph of the inequality 5x/2 - y < 3 is given by the image presented at the end of the answer.

The inequality for this problem is defined as follows:

5x/2 - y < 3

In slope-intercept format, it is defined as follows:

-y < -5x/2 + 3.

y  > 5x/2 - 3. (when we multiply by -1, the sign is changed).

Hence the graph is composed by the values above the line with slope 5/2 and intercept of -3, and the line is dashed, as it is not part of the solution.

More can be learned about inequalities at brainly.com/question/25275758

#SPJ1

The regular polygon is not carried onto itself by rotating 216 degrees, as 216 is not a factor of 360.

When a regular polygon is rotated about its center, it creates rotational symmetry. Rotating a regular polygon by a certain angle will carry the figure onto itself if the angle of rotation is a factor of 360 degrees, which is the total angle for a complete revolution.

In this case, the regular polygon is rotated 216 degrees about its center. To determine if this rotation carries the figure onto itself, we need to check if 216 degrees is a factor of 360 degrees.

To check if 216 is a factor of 360, we divide 360 by 216:

360 ÷ 216 = 1 remainder 144

Since there is a remainder, 216 is not a factor of 360. Therefore, rotating the regular polygon by 216 degrees will not carry the figure onto itself.

For a regular polygon to be carried onto itself by rotation, the angle of rotation needs to be a factor of 360 degrees, meaning it divides evenly into 360 with no remainder. Some examples of angles that carry a regular polygon onto itself are 90 degrees, 120 degrees, 180 degrees, and 360 degrees.

for such more question on polygon

https://brainly.com/question/12622435

#SPJ8

Answer:

yes because you have to calculate the numbets

Answer:

check images

Step-by-step explanation:

Hope it's useful!

Answer:

R4700×5% = 235

total: R4700+235 = 4935

invest:R235 per month or year

Step-by-step explanation:

interest simple is increase your amount to addition increase from rate 5%

I use format a calculate that answer

if f(x) +\(x^{2}\)  \([ f(x) ]^{5}\)  = 34 and f(1) = 2, then f '(1) = - \(\frac{64}{81}\)

f ′(x )'s indicates that it is derived from f (x). The second notation is dydx. The instantaneous rate at which y changes in relation to x is shown by this notation.

f(x) + \(x^{2}\)  \([ f(x) ]^{5}\)  =  34

differentiate with respect to x :

f' (x) + \(x^{2}\) . 5 \([ f(x) ]^{4}\) f'(x) +  \([ f(x) ]^{5}\)  2x = 0

putting x = 1

f' (1) + \(1^{2}\) . 5  \(f(1)^{4}\) f'(1) + \(f(1)^{5}\) 2(1) = 0

f' (1) + 1.5 \((2)^{4}\) f'(1) + \((2)^{5}\) . 2 = 0

f' (1) + 80 f' (1) = - 64

81 f' (1) = - 64

f' (1) = - \(\frac{64}{81}\)                    

thus , the f ' (1) is found.

For more such questions on Differentiation :

brainly.com/question/24062595

#SPJ4

For the angular velocity of the gear, you'll need to gather relevant information about the gear, calculate the linear velocity, and use the formula = v / r. The velocity of the center "O" is always 0 as it does not move linearly.

To determine the angular velocity and the velocity of the center 'O' of the gear at the given instant, you will need to follow these steps:

Step 1: Identify the relevant information.
First, gather information about the gear, such as its radius, the speed at which it is rotating, and any other relevant details. To determine the angular velocity of the gear and the velocity of its center at the instant shown, we need to know the radius of the gear and the speed of its rotation. The angular velocity of the gear can be calculated by dividing the speed of rotation by the radius of the gear. The velocity of the center of the gear can be calculated by multiplying the angular velocity by the radius of the gear.

Step 2: Calculate the angular velocity.
Angular velocity () can be calculated using the formula  = v / r, where 'v' is the linear velocity at the edge of the gear and 'r' is the radius of the gear.

Step 3: Find the linear velocity at the edge of the gear.
This can typically be given or can be determined based on the information provided.

Step 4: Calculate the angular velocity.
Plug the values of linear velocity (v) and radius (r) into the formula  = v / r to find the angular velocity.
Angular velocity = (speed of rotation) / (radius of gear)
Velocity of center = (angular velocity) x (radius of gear)

Step 5: Determine the velocity of the center 'O'
Since the center 'O' of the gear is the point around which the gear rotates, its velocity is 0, as it does not move linearly.

In summary, to find the angular velocity of the gear, you'll need to gather relevant information about the gear, calculate the linear velocity, and use the formula  = v / r. The velocity of the center "O" is always 0 as it does not move linearly.

Learn more about Center:

brainly.com/question/14785743

#SPJ11

Answer:

130°

Step-by-step explanation:

Angle VUX and Angle YXZ are vertical lines ! Which means that they are both exact

Bam! -w-

Lol Hope This Helps !

The best estimate for the weight of a cantaloupe is 2 kilograms (B).

A decigram is 1/10th of a gram, which would be too small of weight for a cantaloupe. 2 grams (C) is also too small for a cantaloupe as it would only be the weight of a few small seeds. 2 milligrams (D) is an extremely small weight, only suitable for a single grain of salt or a tiny insect.

Therefore, 2 kilograms (B) is the most reasonable estimate for the weight of a cantaloupe as it falls within the typical range of cantaloupe weights.

Learn more about Cantaloupe:

https://brainly.com/question/27861329
#SPJ4

Complete Question:

Choose the best estimate for the weight of a cantaloupe. Responses

A 2 decigrams

B 2 kilograms

C 2 grams

D 2 milligrams

The probability that a sample of 120 female graduates will = 0.8905

what is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

= |y -µ| ≥ 0.60

z = y -µ /σ√n

= 0.60/4.10√120

= 0.60/0.3742770

=1.60

Pr ( y -µy) ≤ 0.60 = P |z|≤1.60

=P ( -1.60≤ Z≤ -1.60)

=P (Z ≤ 1.60) -P ( Z≤ -1.60)

= 0.9452 - 0.0547 using z table

= 0.8905

Female graduates

mean = 27.83

sd = 4.10

sample = 120

µx = 27.83

σx = σ/√n

= 4.10/√120

a) P (X bar > 27.83)

= P (X bar -µx)/ σx > 27.83-27.83/4.10/√120

= P ( z > -1.60)

= 0.9452

For men

Mean=µ=37.39

Sd=σ=4.60 ,n=50

Probability that sample mean within $1.00 of the population mean

u-1=37.39-1=36.39

u+1=37.39+1=38.39

P = (36.39 <X bar < 38.39)

= P \(\frac{36.39-37.39 }{4.60/\sqrt{60} } < \frac{X bar - µ}{σ/\sqrt{n} } < \frac{39.39-37.39}{4.60/\sqrt{60} }\)

= P ( -1.6839 < Z <1.6839

= P ( -1.68 < Z <1.68)

= P (Z < 1.68) - P(Z < -1.68)

= 0.9535- 0.0465

= 0.9070

To learn more about probability visit:

brainly.com/question/11234923

#SPJ4

The answers is the picture I posted. I did in khan academy and it was right.

The data values of the scatter plot are  (x,y) = (1,13), (2,11), (3, 10), (5,9) and (8,8)

The table of values is given as:

x: 1  2  3  5  8

y: 13 11 10 9 8

This means that the data values are:

(x,y) = (1,13), (2,11), (3, 10), (5,9) and (8,8)

See attachment for the scatter plot

Read more about scatter plots at:

https://brainly.com/question/6592115

Answer:

Arc Length = 65.9 ft

Step-by-step explanation:

Arc Length = 2π(r) * Central Angle/360

=> Arc Length = 2π(14) * 270/360

=> Arc Length = 87.96 * 0.75

=> Arc Length = 65.9 ft

Hope this helps!

Thx for unfriending me btw :)

Answer:

£36

Step-by-step explanation:

1400-320=1080/45=24

so it is more than 10

10bag=10% discount

10% of 1080=108*2=216-45*4=36

Answer:

$27

Step-by-step explanation:

We know that the employees have a total of $1400

We also know that they spent $320 on a coffee machine

So, we start by subtracting 320 from 1400

1400 - 320 = 1080

So they have $1080 to spend on as many bean bags as possible

We also know they will have a 10% discount because they are able to buy more than 10

We know they can buy more than 10 because 10 would only cost $450 + discount, and they have over $1000

So, we subtract 10% from 45

45 x 0.10 = 4.5

45 - 4.5 = 40.5

So, with the discount, each bean bag costs $40.50

So, we just divide 40.5 by 1080

1080 ÷ 40.5 = 26.6667

Since you can't buy a fraction of a bean bag, they are able to buy a total of 26 bean bags

26 x 40.5 = 1053

1080 - 1053 = 27

They have $27 left over

Answer:

Step-by-step explanation:

Since the fish bowl contains blue, green and red plastic fishes, it means that a fish picked at random would be any of these colors.

the probability of it being blue is 0.7 and the probability of it being green is 0.2, then probability of Matt picking a red fish is

1 - (0.7 + 0.2) = 0.1

If there are 60 fishes in the fish bowl, then the number of fishes that are red is

0.1 × 60 = 6 fishes

The probability that X is between 57 and 105 is 0.8914.

Given:

* X is normally distributed with mean=90 and standard deviation=12

* P(57 < X < 105)

Solution:

* Convert the given values to z-scores:

   * z = (X - μ) / σ

   * z = (57 - 90) / 12 = -2.50

   * z = (105 - 90) / 12 = 1.25

* Use the z-table to find the probability:

   * P(Z < -2.50) = 0.0062

   * P(Z < 1.25) = 0.8944

* Add the probabilities to find the total probability:

   * P(57 < X < 105) = 0.0062 + 0.8944 = 0.8914

Therefore, the probability that X is between 57 and 105 is 0.8914.

Read more about probability here:

https://brainly.com/question/24756209

#SPJ1

Answer:

DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD

Step-by-step explanation: