Burwell Bank is offering to double your money! They say that if you invest with them at 8% interest compounded monthly, they will double your money. If you invest $3500 in the account, how long will it take for your money to double?

If the distribution is skewed right, the mean is greater than the median.

A distribution is said to be skewed right if more than half the area under the distribution curve is to the right of the mode of the distribution. Also the tail of the distribution will be longer on the right side. In this case, the distribution is said to be positively skewed.

Then the mean of the distribution will be greater than the median of the distribution.

i.e., mean > median

Likewise, the distribution is said to skewed left if more than half of the area under the distribution curve is on the left side.

Also if a distribution is not skewed, then it is said to be symmetric.

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Answer:

x=6

Step-by-step explanation:

VZ=UZ

3x+5=23

3x=18

x=6

Answer:

A and E

Step-by-step explanation:

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\) ← distance formula

it is important that the x and y coordinates are placed correctly, that is not mixed together.

First version

let (x₁, y₁ ) = X (- 5,  4 ) and (x₂, y₂ ) = Y (7, 15 ) , then

XY = \(\sqrt{(7-(-5)^2+(15-4)^2}\) → A

or

Second version

let (x₁, y₁ ) = Y (7, 15 ) and (x₂, y₂ ) = X (- 5, 4 ) , then

XY = \(\sqrt{(-5-7)^2+(4-15)^2}\) → E

The Evening class is one that has the highest mean age of 22 years.

b) The Morning class has ages that are said to be the most spread out.

c) The median of the noon class will be about 15 years.

a) To know the class has the highest average age, we have to look at the mean (or average) ages.

Note that

When you Compare the mean ages, you will see that the Evening class has the highest average age = 22 years.

b) To know  which class has ages that are said to be of most spread out, one need to look at the standard deviations, Thus a higher standard deviation shows more spread in all of the ages.

Hence the  Morning class has the highest standard deviation =2.4 years,.

c) when the noon class poses a symmetric distribution, the median have be equal to the mean. Thus one need to use the given mean age for the Noon class, and that is 15 years, as the median.

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This chart shows the mean age and standard deviation for students in three dance classes. Use these

data to answer the questions.

Class                    Mean (years)          Standard deviation  (years)

Morning                     8.9                            2.4

Noon                           15                            1.2

Evening                        22                           0.8

a) Which class has the highest average age? Morning / Noon / Evening

b) Which class has ages that are the most spread out? Morning / Noon / Evening

c) If the noon class has a symmetric distribution, what is the median?.

Can you please show your work

Answer:

Step-by-step explanation:

Answer:

The bake sale raised $159.75

Step-by-step explanation:

Answer:

6x + 3y ≤ 30

y ≥ 5

Step-by-step explanation:

Let

x = number of bags of chicken wings

y = number of pounds of hamburger meat

Cost of one bag of chicken wings = $6

Cost of one pound of Hamburger meat = $3

She must spend no more than $30.

The inequality

6x + 3y ≤ 30

She also knows that she needs to buy at least 5 pounds of hamburger meat.

y ≥ 5

To estimate the difference between proportions, sample around 3355 stalks from each section of the field.

In order to estimate the true difference between proportions of stalks damaged in the two sections of the sugarcane field, we need to determine the sample size required to achieve a desired level of precision and confidence.

To estimate the required sample size, we can use the formula for sample size determination for estimating the difference between two proportions. This formula is based on the assumption of a normal distribution and requires the proportions from each section.

Let's denote the proportion of stalks damaged in the middle section as p1 and the proportion of stalks damaged in the outer perimeter as p2. We want to estimate the difference between these proportions to within 0.02 (±0.02) with 90% confidence.

To calculate the required sample size, we need to make an assumption about the value of p1 and p2. If we don't have any prior knowledge or estimate, we can use a conservative estimate of p1 = p2 = 0.5, which maximizes the required sample size.

Using this conservative estimate, we can apply the formula for sample size determination:

n = (Z * sqrt(p1 * (1 - p1) +\(p2 * (1 - p2)))^2 / d^2\)

where:

Plugging in the values, we get:

n = (1.645 * sqrt(0.5 * (1 - 0.5) + 0.5 *\((1 - 0.5)))^2 / 0.02^2\)

n = (1.645 * sqrt\((0.25 + 0.25))^2\)/ 0.0004

n = (1.645 * sqrt\((0.5))^2\) / 0.0004

n =\((1.645 * 0.707)^2\) / 0.0004

n =\(1.158^2\) / 0.0004

n = 1.342 / 0.0004

n ≈ 3355

Therefore, the required sample size from each section of the field would be approximately 3355 stalks, in order to estimate the true difference between proportions of stalks damaged in the two sections to within 0.02 with 90% confidence.

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To estimate the true difference between proportions of stalks damaged in the two sections of the sugarcane field, approximately 665 stalks from each section should be sampled.

In order to estimate the true difference between proportions of stalks damaged in the middle and outer perimeter sections of the sugarcane field, a representative sample needs to be taken from each section. The goal is to estimate this difference within a certain level of precision and confidence.

To determine the sample size needed, we consider the desired precision and confidence level. The requirement is to estimate the true difference between proportions of stalks damaged within 0.02 (i.e., within 2%) with 90% confidence.

To calculate the sample size, we use the formula for estimating the sample size needed for comparing proportions in two independent groups. Since an equal number of stalks will be sampled from each section, the total sample size required will be twice the sample size needed for a single section.

The formula to estimate the sample size is given by:

n = [(Z * sqrt(p * (1 - p)) / d)^2] * 2

Where:

n is the required sample size per section

Z is the Z-value corresponding to the desired confidence level (for 90% confidence, Z = 1.645)

p is the estimated proportion of stalks damaged in the section (unknown, but assumed to be around 0.5 for a conservative estimate)

d is the desired precision (0.02)

Plugging in the values, we can calculate the sample size needed for each section.

n = [(1.645 * sqrt(0.5 * (1 - 0.5)) / 0.02)^2] * 2

n ≈ 664.86

Rounding up, we arrive at approximately 665 stalks that should be sampled from each section.

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Answer:

The slope is -2.

Good Luck

The answer is (a) $10,000.

The total cost of producing 200 units of output can be found by multiplying the output (200 units) by the average total cost (ATC) per unit, which is given as $50. Therefore, the total cost is:

Total Cost = Output x ATC

Total Cost = 200 x $50

Total Cost = $10,000

Therefore, the answer is (a) $10,000.

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In an assignment problem, each resource can perform only one task. The assignment problem is a linear programming problem that seeks to minimize the cost of assigning tasks to available resources.

An assignment problem is a combinatorial optimization problem in which a group of jobs must be assigned to a group of workers while minimizing the total cost of completing the jobs. This type of problem is solved using linear programming. In addition, there is a one-to-one matching between the set of jobs and the set of workers. The goal of an assignment problem is to find the optimal or best possible pairing of jobs to workers.To obtain the best possible solution, an optimal assignment algorithm can be utilized. There are four basic methods to solve the assignment problem: the Hungarian method, the matrix reduction method, the branch-and-bound method, and the Auction algorithm.

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All the steps given are take to ensure fairness when collecting data.

What is data analysts?

A data analyst examines data to find significant customer insights and potential uses for the information. They also advise the company's management and other stakeholders of this information.

You need excellent quantitative and analytical skills to succeed as a data analyst.

To answer problems logically, you must be able to pay attention to detail. Additionally, you must be able to articulate your conclusions clearly to people who will base choices on them.

Therefore, all the steps given are take to ensure fairness when collecting data.

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Answer:

Liters

Step-by-step explanation:

a Mili(thousandth)liter is a small unit of volume. Liters( a thousand milliliters) is the base unit of volume and larger, so it's B.  

The requried to wash her car, Amy used 25 liters of water. Option B is correct.

Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.

Here,
The question doesn't specify what unit of measurement the 25 refers to, so it's unclear whether the answer should be in milliliters or liters. However, assuming that the unit of measurement is liters, the answer would be:

Amy used 25 liters of water to wash her car.

If the unit of measurement is milliliters, the answer would be:

Amy used 25,000 milliliters of water to wash her car.

Note that 1 liter is equal to 1000 milliliters, so 25 liters is equal to 25,000 milliliters.

Thus, the requried To wash her car, Amy used 25 liters of water. Option B is correct.

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Answer:

C

Step-by-step explanation:

I used calculator.

Answer:

The distance between the yacht from the ship is about 33.6 km.

Step-by-step explanation:

The diagram is attached below.

Point A is the shipe, Point B is the tugboat, and Point C is the yacht.

Since the tugboat is 28 km away, and the scale being used is 1 cm : 4 km, the tugboat is 7 cm away from the ship at a 210° bearing on the diagram.

Likewise, the yacht is 6 cm away from the tugboat at a 210° bearing.

To find the distance between the yacht to the ship, we need to determine the value of x.

To do so, we can use the Law of Cosines:

\(b^2=a^2+c^2-2ac\cos(B)\)

First, we need to determine ∠B.

A has a bearing of 210°. 180° is covered by QI and IV. So, the small angle in QIII is 30°.

By Alternate Interior Angles, the angle in QI (inside the triangle) of Point B must also be 30°.

And since Point B has a bearing of 310°, 270° is covered in total by QI, QIV, and QIII. So, 40° is left in QII.

Therefore, 50° is the measure of the angle in QIII within the triangle of Point B.

Thus, ∠B measures 50° + 30° = 80°.

So, ∠B measures 80°. We also know that a = 6 and c = 7. Substitute:

\(b^2=(6)^2+(7)^2-2(6)(7)\cos(80)\)

Simplify and take the square root of both sides. So:

\(b=\sqrt{85-84\cos(80)}\)

Approximate using a calculator:

\(b=8.3912...\approx 8.39\text{ cm}\)

Since 1 cm : 4km, to find the distance in km, we simply need to multiply by four. So:

\(\Rightarrow b=4(8.3912...)=33.5651\approx 33.6\text{ km}\)

The distance between the yacht from the ship is about 33.6 km.

Responder:

Fortalecimiento = 21 horas

Jugar al fútbol = 24,5 horas

Explicación paso a paso:

Número de horas diarias = 6. 5 horas

Fracción de fortalecimiento del tiempo: 6/13

Por lo tanto, el tiempo dedicado al fortalecimiento diario = 6/13 * 6.5 horas = 6/13 * 6.5 horas = 3 horas

Tiempo total dedicado a la semana =. 3 * 7 = 21 horas

Tiempo diario dedicado a jugar al fútbol = (6,5 - 3) = 3,5 horas

Tiempo total invertido por semana:

3,5 * 7 = 24,5 horas

Answer:

94 people.

Step-by-step explanation:

Find the tax on  £ 400

Tax = 17.5% of cost

       = 17.5% *400

       \(=\dfrac{17.5}{100}*400\\\\\\=70\)

Cost of the T-shirts = 400 + tax

                                = 400 + 70

                                 =  £ 470

Cost of one entry ticket = 5

Let the number of people be 'x'.

Cost of x entry tickets = 5 * x

                                     = 5x

Inequality:

5x ≥ 470

Divide both sides by 5,

         x ≥ 470 ÷ 5

         x ≥ 94

Minimum number of entries needed to cover the total cost is 94.

Step-by-step explanation:

7. Since they are similar triangles we have:

\( \frac{10}{8} = \frac{x}{12} \\ \\ x = 15\)

So DF is 15

8. They are also similar. So:

\( \frac{14}{7} = \frac{x}{5} \\ x = 10\)

So PR is 10

Answer:

-1

Step-by-step explanation:

kx² + (5-x)k + 3 = 0

kx² + (5-x)k + 3 = (bx - 3)(ax + n)

kx² + (5-x)k + 3 = abx² + (bn - 3a)x -3n

thus -3n = 3 so n = -1

other root = -1

I hope this helps you :)

Answer:

$0.696 or $0.70

Step-by-step explanation:

0.90+0.42+0.78+0.13+1.25= 3.48

3.48 ÷ 5 =0.696

(You divide by five because there are five sets of number)

Answer:

$0.90 + $0.42 + $0.78 + $0.13 + $1.25 divid by 5 =

= 0.696

Step-by-step explanation:

Answer = 0.696

The equation in the vertex form will be y = (x + b/2a)² - b²/4a² + c/a and the equation in the standard form will be ax² + bx + c = 0.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.

Convert the standard equation into a vertex form, then we have

x² + (b/a)x + (c/a) = 0

x² + (b/a)x + b²/4a² - b²/4a² + c/a = 0

(x + b/2a)² - b²/4a² + c/a = 0

Put h = - b/2a and k = - b²/4a² + c/a, where (h, k) be the vertex of the parabola. Then the equation will be

(x - h)² + k = 0

The function written in vertex form will be y = (x - h)² + k and in the standard form will be ax² + bx + c = 0.

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Let's denote this probability as p, where p represents the probability of a single calculator failing. Therefore, the probability of both calculators failing is given by \(p^2\).

If the failure rate of the second calculator is the same and independent of the first, we can assume that the probability of failure for each calculator remains constant. To determine the probability of both calculators failing, we need to multiply the probabilities of each calculator failing independently. Since the events are independent, we can multiply the individual probabilities together.

Probability of both calculators failing = Probability of first calculator failing * Probability of second calculator failing

= p * p

= \(p^2\)

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The domain of the function h(x)=9x/x(x²-49) is (-∞, -7) ∪ (-7, 0) ∪ (0, 7) ∪ (7, ∞).

In math the term called the domain of a function is the set of its possible inputs which is the set of input values where for which the function is defined.

Here we have know the function is h(x)=9x/x(x²-49)

And we need to find the domain of the function.

Here we know that this function is defined for values where the denominator is not equal to zero.

Which is written as,

=> x(x²-49) ≠ 0

When we elaborate the equation based on the difference between the two squares property, it can be written as,

=> x(x + 7)(x - 7)  ≠ 0

Based on this we have identified that the value of x must not be

=> x  ≠ -7, 7, 0

Then the domain of the function is written as,

=> (-∞, -7) ∪ (-7, 0) ∪ (0, 7) ∪ (7, ∞).

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Answer:

I think it is slope intercept

Answer:

This expression is slope intercept form.

Step-by-step explanation:

First, let's simplify, because I'm doing it for you, and it makes it less confusing :)

2y = 5x - 8

divide by 2 on both sides to isolate the Y

y = 2.5x - 4

that's definitely the slope intercept because it follows the Y = MX + B, which is slope intercept. My explanation may be a little confusing, so definitely comment on this answer if you need me to clarify. I hope this helps!  

The first three non-zero terms in the Taylor polynomial approximation to the solution of the nonlinear spring equation with periodic forcing, given the initial values y(0) = 0 and y'(0) = 1, are y(t) = t + 2t².

The equation of a nonlinear spring with periodic forcing is given by y′′+ky+ry³=Acos(ωt).

Here, k = 6, r = 3, A = 4, ω = 9.

The initial values are y(0) = 0, y′(0) = 1.

We need to find the first three non-zero terms in the Taylor polynomial approximation to the solution.

The equation can be written as:y′′ = -ky - ry³ + Acos(ωt)

Now, let’s use the initial conditions: y(0) = 0 and y′(0) = 1.

Thus, we have:y(0) = 0y′(0) = 1

Therefore, we have:y(t) = a₀ + a₁t + a₂t² + a₃t³ + … (1)

y′(t) = a₁ + 2a₂t + 3a₃t² + … (2)

On differentiating the given equation w.r.t t, we get:

y′′(t) = -ky - 3r(y(t))²y′(t) + Aωsin(ωt) … (3)

Put t = 0 in equations (1) and (2) to obtain the following:

y(0) = a₀ = 0

y′(0) = a₁ = 1

Differentiate equation (1) and use the value of a₀ and a₁ obtained above, we have:

y′(t) = a₁ + 2a₂t + 3a₃t² + … (4)

Differentiate equation (3) and use the value of a₀ and a₁ obtained above, we have:

y′′(0) = -6a₀ - 3r(a₀)³ + A … (5)

On substituting the values of k, r, A, and ω, we have:

y′′(0) = 4

By putting the values of t = 0 and t′ = 0 in equation (4), we get

y′(0) = a₁ = 1

And on putting the values of t = 0, we get:

a₂ = (1/2)

y′′(0) = 2a₃ = (1/3!)

(y′′′(0)) = 0

Solving the above equations, we obtain:

y(t) = t + 2t²

The first three non-zero terms in the Taylor polynomial approximation to the solution is y(t) = t + 2t². Therefore, the required answer is y(t) = t + 2t².

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Answer:

Step-by-step explanation:

sinx=.342

then x is just so simple

\(x=sin^{-1} (.342)\\\\\)

put that in a calculator or something

Answer:

  7 feet

Step-by-step explanation:

You want the height of a 6' by 12' cuboid box that has a total surface area of 396 square feet.

The formula for the surface area of a cuboid is ...

  SA = 2(LW +H(L+W))

For the given box, this is ...

  396 = 2(6·12 +H(6+12))

  198 = 72 +18H . . . . . . . . . . divide by 2

  126 = 18H . . . . . . . . . . . subtract 72

  7 = H . . . . . . . . . . . . divide by 18

The height of the box is 7 feet.

The wavelength of the light wave is approximately 729.94 meters.

The speed of light is regarded as a fundamental natural constant. Its relevance extends well beyond its role in characterizing an electromagnetic wave characteristic.

The speed of light is a constant, and it is equal to the product of the frequency of a light wave and its wavelength.

The speed of light is 3 x 108 m/s. If its frequency is 4.11 x 104 Hz

So if the frequency of a light wave is given, we can use this formula to calculate its wavelength:

wavelength = speed of light / frequency

Plugging in the values given in the question, we get:

wavelength = 3 x 10⁸ m/s / 4.11 x 10⁴ Hz

wavelength = 3 x 10⁸/ 4.11 x 10⁴

wavelength = 3 / 4.11 x 10⁸/10⁴

Performing the calculation, we find that the wavelength of the light wave is approximately 729.94 meters.

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Answer:

If we let the number be represented by the variable "x", then "three less than a number" can be expressed as:

x - 3

The rational function ƒ(x) that represents the average price per minute x years after 1998 is given by ƒ(x) = g(x) / h(x), where g(x) = -0.27x³ + 1.40x² + 1.05x + 39.4 and h(x) = -8.25x³ + 53.1x² - 7.82x + 138.

To calculate the average price per minute x years after 1998, we need to find the ratio between the average monthly bill (g(x)) and the average number of minutes used (h(x)). Therefore, the rational function ƒ(x) is defined as ƒ(x) = g(x) / h(x).

Given that g(x) = -0.27x³ + 1.40x² + 1.05x + 39.4 and h(x) = -8.25x³ + 53.1x² - 7.82x + 138, we can substitute these expressions into the rational function to obtain the final formula: ƒ(x) = (-0.27x³ + 1.40x² + 1.05x + 39.4) / (-8.25x³ + 53.1x² - 7.82x + 138).

This rational function represents the average price per minute x years after 1998 based on the given average monthly bill and average number of minutes used by U.S. mobile phone users. By plugging in different values for x, you can evaluate the function and obtain the corresponding average price per minute for each year.

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