For whar value of the infinite series Σ converges? 1 A x = √e. B.xse None of the choices in the list. D.x>. Eyse.

Answer:

0.068 or 6.826%

Step-by-step explanation:

In order to calculate the proportion of disks that are defective, we need to divide the number of defective disks by the total amount of disks that were chosen in the given sample. Using the data provided this would be the following calculation...

37 / 542 = 0.068

We can multiply this by 100 to get the percentage value

0.068 * 100 = 6.826%

Therefore, roughly 6.826% of the entire disk population would be defective.

Answer:

Let's denote the first term of the sequence as a, and the common difference between consecutive terms as d.

Then, we know that the fifth term is 5, so:

a + 4d = 5

Similarly, we know that the sixth term is 2.5, so:

a + 5d = 2.5

We can solve this system of equations by subtracting the first equation from the second:

(a + 5d) - (a + 4d) = 2.5 - 5

d = -2.5

Now, we can substitute this value of d into either equation to find the value of a:

a + 4d = 5

a + 4(-2.5) = 5

a - 10 = 5

a = 15

Therefore, the first term of the sequence is 15, and the common difference is -2.5. We can use this to find the value of the second term:

a + d = 15 + (-2.5) = 12.5

Therefore, the second term of the sequence is 12.5.

mark my answer as brainliest

Answer:

x (23+12)= 280

Step-by-step explanation:

X=8

add 23 plus 12 which equals 35

then multiply 35 by 8

Hope it helps

Answer:

-x + 39 = 31

Step-by-step explanation:

You would subtract 39 which would make -8. Then you would divide by -1 (x) and your answer is:

x = 8

Answer:

Excuse me? Sir?/

Step-by-step explanation:

Where were u these days

Answer:

Anime is the only family I'm ever gonna have T^T

Step-by-step explanation:

Answer:

The total distance is 129

Step-by-step explanation:

In order to answer this question you will need to find 2 distances and then add them to each other.

Begin at -29.  How far will you have to move to the right 29 in order to get to 0?

Now how far will you have to more to get from 0 to 100?

Draw an open number line to help you.

_____________________________________________________

-29                                           0                                                   100

Your first distance is 29.  Your second distance is 100.

The total distance is 129.

Answer:

49π ft²

Step-by-step explanation:

The area for a circle is A=πr² (Area=pi times radius squared)

and d=2r (diameter = 2 times the radius)

So, if we want to find area using the radius, we can get rearrange the equation d=2r to get r= d/2

r=d/2

r=14/2

r=7 ft

Then we can plug that answer into the area equation.

A=π×7²

7 squared is 49 so

A=49π ft²

Answer:

He/she said DO NOT SOLVE.

why ask the question if you don't want the answer?

Step-by-step explanation:

The given statement is true all else being equal, the further the t statistic falls from 0, either in the positive or negative direction, the more likely it is that the difference between two population averages is statistically significant.  

The T Statistic is used in a T test when you are deciding if you should support or reject the null hypothesis. It’s very similar to a Z-score and you use it in the same way: find a cut off point, find your t score, and compare the two. You use the t statistic when you have a small sample size, or if you don’t know the population standard deviation.

Here we have the statement All else being equal, the further the t statistic falls from 0, either in the positive or negative direction, the more likely it is that the difference between two population averages is statistically significant.

And we need to identify whether the statement is true or not.

As per the definition of t statistics, we have identified that the t statistic falls from 0. which states that is goes on the negative direction.

Hence, the more likely it is that the difference between two population averages is statistically significant.

Learn more about T - statistic at:

https://brainly.com/question/15236063

#SPJ4

Step-by-step explanation:

1 in 4 is the probability

by the way hello swishrollzilla47

Answer:

r² = (9 - 4)² + (6 - 4)² = 5² + 2² = 25 + 4 = 29

So the equation of this circle is

(x - 4)² + (y - 4)² = 29

The block will cover the distance 12m before it stops.

According to Newton's second law of motion, the acceleration a

of a body of mass m is determined by the net force \(F_n_e_t\) acting on it:

\(F_n_e_t\)  = ma.

The mass of a block, m = 8 kg

The initial speed of the block on rough horizontal surface , u = 6 m/s

The force of friction, F = 12N

We know that, the Newton's 2nd law: \(F_n_e_t\)  = ma.

Therefore, its final velocity is zero, v = 0

Since the only force that is acting on the body along the horizontal direction is the kinetic frictional force

\(F_n_e_t\)  = ma. (\(F_n_e_t\)  is acting in opposite direction to that of object motion)

a = \(\frac{f_n_e_t}{m}\) = \(\frac{-12}{8} = -1.5m/s^2\)

Negative sign shows that it is in the opposite direction to that of initial velocity.

By using the third kinematic equation, we get:

\(v^2=u^2+2as\\\\= > s = \frac{0-6^2}{2(-1.5)}\\ \\s = \frac{36}{3} = 12m\)

Therefore, the block will cover the distance 12m before it stops.

Learn more about Newton's law at:

https://brainly.com/question/15280051

#SPJ4

First we notice that in each order, they place the same items from the menu. Let them be

For the first order we know that they ordered 2 small pizzas, a liter of soda and a salad and that it cost 14 dollars. We can write this like

For the second order we have one small pizza, a liter of soda and three salads. That cost 15 dollars. Then

Finally, the last order was three pizzas, a liter of soda and two salads all this with a cost of 22 dollars, so

Then, from the data we have the following system of equations

Once we solve this system we can know how much each item cost. To solve, first we are going to solve the first equation for z. Then

Then we plugg this value of z in the other two equations. Then

Simpligying our new equations we have

Now we have another system of equations, but in this case we only have two equations for two variables.

To solve this new system we solve the second equation for y,

Then we plug the value of y in the first equation of our second system

Solving for x, we have

Now that we have tha value of x, we can find the value of y from

Finally, we can know the value of z from

Therefore the pizza cost 5 dollars, the liter of soda 1 dollar and the salads 3 dollars.

Answer:

1)9 2)18 3)9. 4)4. 5)carpeting

Step-by-step explanation:

1) divide 63 by 7 = 9

2)multiply 54 by 2 = 108 total weight of the boxes then divide 108 by 6 to get 18

3) 75 -30 to get remaining amount which is 45 then divide by 5 to get how much he will pay each month which is 9

4 24- 12= 12 the remaining for the 3 and divide by 3 to get 4

5) multiply 6 * 9 which is $54 which is cheaper than the $81

Answer:

50²-30²=x²

2500-900=1600

√1600= 40

x=40

Answer:

it is not a good trend line for this data because the line always has to start on zero it can never start on anything else but zero

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given 100 people divided themselves into the ratios ...

  prefer tea : prefer coffee : prefer both : prefer neither = 3 : 2 : 1 : 1

You want to know (1) how many prefer both, (2) how many prefer only one drink, (3) how many prefer at most one.

Multiplying the given ratio by 100/7, and rounding the results, we have ...

  tea : coffee : both : none = 43 : 29 : 14 : 14

Looking at the above ratio, we see ...

14 people preferred both the drinks.

The number preferring only one is the sum of those preferring tea only and those preferring coffee only:

  43 +29 = 72

72 people preferred only one drink.

This is the number preferring one or none, so will be the above number added to the number who prefer none:

  72 +14 = 86

86 people preferred at most one drink.

__

Additional comment

The number preferring at most 1 can also be computed as the complement of the number who preferred both: 100 -14 = 86.

<95141404393>

A) The rate of change in the direction of motion is approximately 2.94.

B) The direction in which the bug should move from P for the temperature to increase the fastest is in the direction of <-0.649, -0.761>.

C) The magnitude of the rate of change of temperature in that direction is given by ||∇T(2,3) · v|| = ||∇T(2,3)|| ||v|| cosθ

We can use the gradient of the temperature function to find the direction of maximum increase and the rate of change in that direction.

The gradient of T(x,y) is given by:

∇T(x,y) = <-2x/5, -y>

At point P=(2,3), the gradient is:

∇T(2,3) = <-4/5, -3>

The direction of maximum increase is given by the unit vector in the direction of the gradient. We can find this by normalizing the gradient:

u = ∇T(2,3) / ||∇T(2,3)||

Where ||∇T(2,3)|| is the magnitude of the gradient at point P:

||∇T(2,3)|| = √((-4/5)² + (-3)²) = √(16/25 + 9) = √(41/5)

Therefore,

u = <-4/5, -3> / √(41/5) = <-0.649, -0.761>

So the direction in which the bug should move from P for the temperature to increase the fastest is in the direction of <-0.649, -0.761>.

To find the rate of change in the direction of motion, we need to project the gradient onto the unit vector connecting P and Q. Let R be the position vector of the point on the line connecting P and Q that is closest to P. Then the direction of motion is given by the unit vector:

v = (Q - P) / ||Q - P||

Where ||Q - P|| is the distance between P and Q:

||Q - P|| = √((3 - 2)² + (-2 - 3)²) = √26

Therefore,

v = <1/√26, -5/√26>

The rate of change in the direction of motion is given by the dot product of the gradient and the unit vector v:

∇T(2,3) · v = (-4/5)(1/√26) + (-3)(-5/√26) = 15/√26 ≈ 2.94

Learn more about gradient here

brainly.com/question/30893578

#SPJ4

Answer:

-9w^3

Step-by-step explanation:

Combine like terms. -20+11 = -9

Answer:

-9 w^3

Step-by-step explanation:

-20w^3+11w^3

Combine like terms

(-20+11) w^3

-9 w^3

Answer:

07698+96965#5_(-&)!:86539'6";

The solution to the given expression will be \(\dfrac{-8\pm\sqrt{180}}{6}\).

The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.

The given equation will be solved as:-

= 3x² + 8x - 10  

Using the formula of factors:-

x = \(\dfrac{-b\pm\sqrt{b^-4ac}}{2a}\)

x = \(\dfrac{-8\pm\sqrt{64-(-120)}}{2\times 3}\)

x = \(\dfrac{-8\pm\sqrt{180}}{6}\).

Therefore the solution to the given expression will be \(\dfrac{-8\pm\sqrt{180}}{6}\).

To know more about quadratic equations follow

https://brainly.com/question/1214333

#SPJ1

Answer:

yes

The equation is correct :)

Step-by-step explanation:

A characteristic of the classical approach to probability include the following: D. probabilities assume outcomes of an experiment are equally likely.

In Science, an experiment is a scientific investigation which typically involves the process of manipulating an independent variable (the cause), in order to determine or measure the dependent variable (the effect).

In Mathematics and statistics, an expected value is sometimes referred to as the long-term mean (average) of a discrete random variable, E(X) and it can be calculated by taking the weighted average of all the outcomes of the discrete random variable with respect to their probabilities.

In this context, we can logically deduce that a characteristic of the classical approach to probability is that most times probabilities assume outcomes (results) of an experiment are equally likely.

Read more on experiments here: brainly.com/question/29767531

#SPJ1

(a) The interpret the p-value in context of 0.0016 indicates that the probability of obtaining a sample mean hemoglobin level of 11.3 g/dl or lower.

(b) The conclusion would make if a 0.05 is rejected because the p-value (0.0016) is less than the significance level.

If using a significance level of 0.01, the null hypothesis would still be rejected because the p-value is less than 0.01.

(a) The p-value of 0.0016 indicates that the probability of obtaining a sample mean hemoglobin level of 11.3 g/dl or lower, assuming that the true population mean is 12 g/dl (or higher), is only 0.0016. This suggests that the observed difference between the sample mean and the hypothesized population mean is statistically significant and unlikely to be due to chance alone.

(b) If using a significance level of 0.05, the null hypothesis (that the true population mean is 12 g/dl or higher) would be rejected because the p-value (0.0016) is less than the significance level. Therefore, it can be concluded that the sample provides evidence that the true population mean hemoglobin level is lower than 12 g/dl.

If using a significance level of 0.01, the null hypothesis would still be rejected because the p-value is less than 0.01. In this case, the evidence is even stronger, and the conclusion that the true population mean is lower than 12 g/dl would be even more robust.

Learn more about Anemia Study Results here:

https://brainly.com/question/28200198

#SPJ4

Answer:

=12pl+B

Step-by-step explanation:

where p represents the perimeter of the base, l the slant height and B the area of the base.

Answer:

4 + 4 sqrt 10

Step-by-step explanation:

The double integral for calculating the flux of a vector field F through an open-ended circular cylinder of radius r and height h, with its base on the xy-plane and centered about the positive z-axis, oriented away from the z-axis, is given by the expression ∫∫(F · n) r dr dθ, where n is the outward unit normal to the cylindrical surface S and the integration is over the cylindrical surface S.

Let F be the vector field and let S be the open-ended circular cylinder of radius r and height h, with its base on the xy-plane and centered about the positive z-axis. We want to calculate the flux of F through S, oriented away from the z-axis.

To set up the double integral for calculating the flux, we use the divergence theorem:

flux = ∫∫(F · n) dS = ∭(div F) dV

where n is the outward unit normal to the surface S, dS is the surface area element, dV is the volume element, and div F is the divergence of F.

Since S is a cylindrical surface, we can use cylindrical coordinates (r, θ, z) to parameterize the surface and the volume enclosed by S. Specifically, we have:

r ≤ r

0 ≤ θ ≤ 2π

0 ≤ z ≤ h

Then, the double integral for calculating the flux is:

flux = ∫∫(F · n) dS = ∬(F · n) r dr dθ

where n = (cos θ, sin θ, 0) is the outward unit normal to the cylindrical surface S.

Note that we do not need to integrate over the z-variable, since the cylindrical surface is orthogonal to the z-axis, and the divergence of F may not depend on z.

To know more about double integral,

https://brainly.com/question/31762757

#SPJ11

Substituting a cumulative area of 0.2420, a mean of 0, and a standard deviation of 1 into the inverse normal distribution, the z-score is -0.71 to two decimal places.

Given that the cumulative area of 0.2420, a mean of 0, and a standard deviation of 1, the required z-score has to be determined.We know that the standard normal distribution with mean 0 and standard deviation 1 is denoted as N(0, 1). The inverse normal distribution with a cumulative area of x is the inverse of the normal distribution with cumulative area x. Let z be the z-score corresponding to a cumulative area of x, then we can say that P(Z ≤ z) = x, where P is the cumulative distribution function of the standard normal distribution.

Substituting the given values in the formula, we get:0.2420 = P(Z ≤ z)We need to find the corresponding z-value using inverse normal distribution. Therefore, we take the inverse of the cumulative distribution function, as follows:z = invNorm(0.2420)z = -0.71 (rounded to two decimal places)Thus, the required z-score is -0.71.

To know more about deviation visit:

https://brainly.com/question/29758680

#SPJ11

The largest area that can be enclosed with 1100 m of wire is 151,250 square meters, and its dimensions are 275 meters by 550 meters.

What is the area of the rectangle?

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

To find the largest area that can be enclosed with 1100 m of wire, we need to determine the dimensions of the rectangular plot.

Let's denote the length of the rectangular plot as L and the width as W. Since the river forms one side of the plot, we have two equal sides of length L and two sides of length W.

The perimeter of the plot is given by:

Perimeter = 2L + W = 1100 m

We can solve this equation for one variable in terms of the other. Let's solve it for W:

W = 1100 m - 2L

Now, we can express the area A of the rectangular plot in terms of L:

A = L * W

A = L * (1100 m - 2L)

To find the maximum area, we need to find the critical points of the area function A(L) and determine which one corresponds to the maximum. We can do this by finding the derivative of A(L) with respect to L and setting it equal to zero:

dA/dL = 1100 - 4L

Setting dA/dL = 0 and solving for L:

1100 - 4L = 0

4L = 1100

L = 275 m

Substituting this value of L back into the equation for W:

W = 1100 m - 2(275 m)

W = 550 m

So, the dimensions of the rectangular plot that maximize the area are L = 275 m and W = 550 m.

To calculate the maximum area, we substitute these values into the area formula:

A = L * W

A = 275 m * 550 m

A = 151,250 m^2

Therefore, the largest area that can be enclosed with 1100 m of wire is 151,250 square meters, and its dimensions are 275 meters by 550 meters.

To learn more about the area of the rectangle visit:

brainly.com/question/2607596

#SPJ4

Answer:

6

Step-by-step explanation:

Answer:

should be C

Step-by-step explanation:

Answer:

C

Step-by-step explanation: took the test