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Answer:

number of message sent by Scott is 23

number of message sent by Christine is   30

number of message sent by Milan is 92

Step-by-step explanation:

Total message sent by Christine,Milan, and Scott : 145

Let number of message sent by Scott be x .

Given that Christine sent 7 more messages than Scott

number of message sent by Christine is   x+7

It is also given that  Milan sent 4 times as many messages as Scott

number of message sent by Milan is   4*x = 4x.

Thus, sum of message sent by Christine,milan, and Scott  in terms of x

= x + x + 7 + 4x = 6x + 7

we already know that Total message sent by Christine,milan, and Scott is 145

thus,  6x + 7 should be equal to 145

6x + 7 = 145

=>6x = 145 - 7 = 138

=> x = 138/6 = 23

Thus,  

number of message sent by Scott is x = 23

number of message sent by Christine is   x+7 = 23+7 = 30

number of message sent by Milan is   4x = 4*23 = 92

Answer:

85,000 and 90,000

Step-by-step explanation:

In the given situation (D) randomized block design was used to experiment with incorporating randomization into this study.

An experimental design known as a randomized block design divides the experimental units into units known as blocks.

The experimental units inside each block are assigned the treatments at random.

We have a fully randomized block design when each block has at least one instance of each treatment.

By ensuring that a crucial predictor of the outcome is fairly distributed amongst research groups to require them to be balanced, something that a completely randomized design cannot guarantee, a randomized block design differs from a completely randomized design.

Therefore, in the given situation (D) randomized block design was used to experiment with incorporating randomization into this study.

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Complete question:

R.A. Fisher, a famous statistician, describes a well-known design in his book, Design of Experiments. Five varieties of wheat were compared to determine which gave the highest yield in bushels per acre. Eight farms were available for planting. Each farm was divided into five plots. For each farm, the five varieties were randomly assigned to the five plots with one variety per plot. The varieties were planted on their assigned plots and their yields were measured and compared.

How was randomization incorporated into this study?

A. All five varieties were randomly assigned to the five plots at each farm.

B. The five varieties were randomly assigned to the eight farms - three varieties were planted twice and two varieties only once.

C. It was not incorporated. The wheat seeds were not randomly selected from the population of wheat seeds.

D. Experiment - randomized block design

The circumference of the cross-section that is parallel to the base and a distance of 10 mm from the vertex V of the cone is 20π mm.

We have,

To find the circumference of the cross-section parallel to the base and a distance of 10 mm from the vertex V of the cone, we can consider the similar triangles formed by the cross-section and the base.

Let's denote the radius of the cross-section as r.

We can set up the following proportion:

r / 20 = (r + 10) / 40

To solve for r, we can cross-multiply and simplify:

40r = 20(r + 10)

40r = 20r + 200

20r = 200

r = 200 / 20

r = 10

Therefore, the radius of the cross-section is 10 mm.

Now, we can calculate the circumference of the cross-section using the formula for the circumference of a circle:

C = 2πr

C = 2π(10)

C = 20π

Thus,

The circumference of the cross-section that is parallel to the base and a distance of 10 mm from the vertex V of the cone is 20π mm.

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The MPOS expression for the given function is f(a, b, c, d) = ab' + ab + cd' + cd.

To find the minimum product of sums (MPOS) expression using a Karnaugh map for the given function:

f(a, b, c, d) = Em(1, 3, 5, 7, 8, 9, 11, 13, 15)

Now, we group the adjacent cells with 'X' to form the largest possible groups, which will represent the terms in the MPOS expression.

In this case, we have the following groups:

Group 1: 8, 9, 10, 11, 12, 13, 14, 15

Group 2: 3, 7, 11, 15

Next, we convert each group into a sum-of-products (SOP) expression:

Group 1: (ab'cd') + (ab'cd) + (abcd') + (abcd) + (abcd') + (abcd) + (abcd') + (abcd)

       = ab' + ab + cd'

Group 2: (ab'c'd') + (ab'cd') + (ab'c'd) + (ab'cd) + (abcd') + (abcd)

       = ab' + ab + cd

Finally, we combine the SOP expressions for each group to obtain the minimum product of sums (MPOS) expression:

f(a, b, c, d) = (ab' + ab + cd') + (ab' + ab + cd)

Therefore, the MPOS expression for the given function is f(a, b, c, d) = ab' + ab + cd' + cd.

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The values of x and y that satisfy the equation (x+yi)+(4+9i)=9-4i is x = 5 and y = -13  .

In the question ,

the equation is given as

(x+yi)+(4+9i)=9-4i

to find the value of x and y , we solve LHS and RHS of the equation separately

So LHS =

(x+yi)+(4+9i)

x+yi+4+9i

Adding the real and imaginary terms , we get

(x+4)+(y+9)i which is equal to RHS that is 9-4i

So , on comparing , we get

x+4 = 9    and      y+9 = -4

x= 9-4      and      y = -4-9

x = 5       and       y = -13

Therefore , the values of x and y that satisfy the equation (x+yi)+(4+9i)=9-4i is x = 5 and y = -13 .

The given question is incomplete , the complete question is

What are the The values of X and Y that satisfy this equation (x+yi)+(4+9i)=9-4i  ?

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Answer: its A) The airplane did, because Three-fifths greater-than one-half.

Answer:

a.The airplane did, because Three-fifths greater-than one-half.

Step-by-step explanation:

The value of the definite integral ∫₀³ √(-9-x²) dx is approximately 11.780.

To evaluate the given definite integral, we can begin by noticing that the integrand involves the square root of a quadratic expression, namely -9-x². This indicates that the graph of the function lies within the imaginary domain for values of x within the interval [0,3]. Consequently, the integral represents the area between the x-axis and the imaginary portion of the graph.

To compute the integral, we can make use of a trigonometric substitution. Letting x = √9sinθ, we substitute dx with 3cosθdθ and simplify the integrand to √9cos²θ. We then rewrite cos²θ as 1 - sin²θ and further simplify to 3cosθ√(1 - sin²θ).

Next, we can integrate the simplified expression. The integral of 3cosθ√(1 - sin²θ) is straightforward using the trigonometric identity sin²θ + cos²θ = 1. The result simplifies to (3/2)θ + (3/2)sinθcosθ + C, where C represents the constant of integration.

Finally, we substitute back the value of θ corresponding to the limits of integration, which in this case are 0 and π/3. Evaluating the expression, we find that the definite integral is approximately 11.780.

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Answer:

1- Product of powers rule.

2- Quotient of powers rule.

3- Power of a power rule.

4- Power of a product rule.

5- Power of a quotient rule.

6- Zero power rule.

7- Negative exponent rule.

Step-by-step explanation:

Hope I helped! ^v^

The null hypothesis is that the population mean of female "like" ratings of male dates is equal to 6.00, and the alternative hypothesis is that it is less than 6.00. A one-tailed t-test will be used to test the hypothesis.

H0: μ = 6.00

Ha: μ < 6.00

The test statistic is calculated using the formula:

t = (x - μ) / (s / sqrt(n))

Substituting the given values, we get:

t = (5.88 - 6.00) / (2.06 / sqrt(195)) = -1.64

The degrees of freedom are n-1 = 194. Using a t-distribution table, the P-value is found to be 0.051.

Since the P-value (0.051) is greater than the significance level (0.05), we fail to reject the null hypothesis. There is not enough evidence to suggest that the population mean of female "like" ratings of male dates is less than 6.00 at a significance level of 0.05.

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Isolate the variable by dividing each side by factors that don't contain the variable.

y= 5x/6 + 11/2

The Laplace transform of f(t) is f(s) = (1/(s-2)) - 8 e^(-4s).

We can split the function into two parts:

f(t) = e^(2t) - 8h(t-4)

Taking the Laplace transform of each part separately, we get:

L{e^(2t)} = ∫_0^∞ e^(-st) e^(2t) dt = ∫_0^∞ e^(t(2-s)) dt = 1/(s-2) (by using the Laplace transform formula for e^(at))

L{8h(t-4)} = 8 e^(-4s) (by using the formula for the Laplace transform of the unit step function h(t-a))

Thus, the Laplace transform of f(t) is:

f(s) = L{f(t)} = L{e^(2t)} - L{8h(t-4)} = 1/(s-2) - 8 e^(-4s)

Therefore, the Laplace transform of f(t) is f(s) = (1/(s-2)) - 8 e^(-4s).

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Given:

The pie chart shows the flavours of ice cream sold by a shop in one  day.

There were a total of 270 ice creams sold.

To find:

The number of vanilla flavoured ice creams sold.

Solution:

We know that the complete central angle is 360 degrees.

From the given pie chart, it is clear that the central angle of the vanilla flavoured ice creams sold is 60 degrees.

Total ice creams sold = 270

Now, the number of vanilla flavoured ice creams sold is

\(n=\dfrac{\text{Central angle of vanilla}}{\text{Complete central angle}}\times \text{Total ice creams sold}\)

\(n=\dfrac{60^\circ}}{360^\circ}}\times 270\)

\(n=\dfrac{1}{6}\times 270\)

\(n=45\)

Therefore, the number of vanilla flavoured ice creams sold is 45.

Answer:

45

Step-by-step explanation:

a pie chart is 360 deg so if you divide 360 by 60 you get 6. That means that vanilla is 1/6 of the total icecream amount which is 270. If you multiply 270 by 1/6 (270 x (1/6)) that give you 45.

Answer:

∠ACB = 38°

Step-by-step explanation:

∠ACB is an inscribed angle while arcAB is its intercepted arc

An inscribed angle is equal to half the length of its intercepted arc

Hence, ∠ACB = 1/2 the measure of arc AB

arc AB = 76°

Hence ∠ACB = 1/2 of 76

76/2 = 38

Therefore ∠ACB = 38°

Answer:

y=3/4x+7

Step-by-step explanation:

Point Slope Formula: y=m(x-x1)+y

y=3/4(x+4)+4

3/4x+3+4

y=3/4x+7 (y=mx+b)

Cost of Goods Manufactured is an accounting term used to describe the total cost of producing and manufacturing goods. It includes all direct and indirect costs of production, including labor, materials, overhead, and other expenses. Below are the five components of the cost of goods manufactured.

Direct Materials: It includes the cost of raw materials used in manufacturing a product.

Direct Labor: It includes the wages paid to workers who directly worked on the production line or in manufacturing a product.

Factory Overhead: It includes all indirect costs of manufacturing a product such as depreciation on equipment, rent, insurance, utilities, etc. Work-in-Process

Inventory: It includes the cost of materials, labor, and overhead that has been incurred but has not yet been completed. Finished Goods Inventory: It includes the cost of goods that have been fully manufactured but have not yet been sold.

To calculate the cost of goods manufactured, the sum of all these five components is calculated. It helps manufacturers to determine the total cost of goods manufactured and the cost per unit of production. Cost of goods manufactured is essential in determining the pricing strategy for a product as it helps to ensure that the product is profitable.

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Answer:

The linear equation is;

y = 320x + 7400

Step-by-step explanation:

Here, we want to write a linear equation that represents the population y at a year since 2005

To write this, we need points

Initially, we have (0,7400)

Since the difference between 2005 and 2010 is 5, the second point will be (5,9000)

Mathematically, we can get the slope as follows;

m = (y2-y1)/(x2-x1) = (9000-7400)/(5-0) = 1,600/5 = 320

The equation of the line can be represented using the general form as;

y = mx + b

where m is 320 and b is unknown

So we have the equation as;

y = 320x + b

we need to get b

To get b, we can use any point

let us use the point (0,7400)

substituting this;

7400 = 320(0) + c

c = 7400

so the equation is;

y = 320x + 7400

Answer:

m∠JKM = 63°

m∠MKL = 27°

Step-by-step explanation:

Since ∠JKL is a right angle. This means that by summing up both m∠JKM and m∠MKL will result in the same as ∠JKL figure. Thus, m∠JKM + m∠MKL = m∠JKL which is 90° by a right angle definition.

\(\displaystyle{\left(12x+3\right)+\left(6x-3\right) = 90}\)

Solve the equation for x:

\(\displaystyle{12x+3+6x-3 = 90}\\\\\displaystyle{18x=90}\\\\\displaystyle{x=5}\)

We know that x = 5. Next, we are going to substitute x = 5 in m∠JKM and m∠MKL. Thus,

m∠JKM = 12(5) + 3 = 60 - 3 = 63°

m∠MKL = 6(5) - 3 = 30 - 3 = 27°

Answer:

Step-by-step explanation:

R = 7 m

\(V=\frac43\pi R^3=\frac43\pi\cdot7^3=\frac{1372}3\pi\ m^3\approx1436.8\ m^3\)

Kallie will perform these tasks in the Analysis phase of the Systems Development Life Cycle (SDLC).

In the Systems Development Life Cycle (SDLC), the Analysis phase is where Kallie will create use cases, data flow diagrams, and entity relationship diagrams. This phase is the second phase of the SDLC, following the Planning phase. During the Analysis phase, Kallie will gather detailed requirements and analyze the current system or business processes to identify areas for improvement.

Use cases are used to describe interactions between actors (users or systems) and the system being developed. They outline the specific steps and interactions necessary to achieve a particular goal. By creating use cases, Kallie can better understand the requirements and functionality needed for the system.

Data flow diagrams (DFDs) are graphical representations that illustrate the flow of data within a system. They show how data moves through different processes, stores, and external entities. These diagrams help Kallie visualize the system's data requirements and identify any potential bottlenecks or inefficiencies.

Entity relationship diagrams (ERDs) are used to model the relationships between different entities or objects within a system. They depict the structure of a database and show how entities are related to each other through relationships. ERDs allow Kallie to define the data structure and relationships required for the system.

By creating use cases, data flow diagrams, and entity relationship diagrams during the Analysis phase, Kallie can gain a deeper understanding of the system's requirements, data flow, and structure. These artifacts serve as important documentation for the subsequent phases of the SDLC, guiding the design, development, and implementation processes.

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600 mi./hr.

Step-by-step explanation

Got it right on the test

Answer:

alternate interior angles

Step-by-step explanation:

We are looking at angles <3 and <6

which are on opposite sides of a transversal (line crossing through 2 parallel lines)

meaning that those 2 angles are congruent and are alternate interior angles are they are on the inside of this figure.

*Can we see the answer choices?  I'm not sure what they are, meaning I cannot fully help you*

Hope this helps a little! :)

The total height of the Washington Monument is approximately 266.6 feet.

We can use trigonometry to determine the total height of the Washington Monument. We know that Noelle is standing 50 feet away from the monument and her line of sight is 84.8° above ground level.

Six fundamental trigonometric functions—sine, cosine, tangent, cosecant, secant, and cotangent—form the basis of trigonometry. These formulas link the angles and side lengths of a right triangle. For instance, the sine of an angle is determined by dividing the length of the hypotenuse by the length of the side opposite the angle (the longest side of the triangle).

In a similar manner, the cosine of an angle is determined by dividing the length of the hypotenuse by the length of the adjacent side, which is the side that faces the angle.

The diagram shows that Washington Monument's height (x) is equal to the sum of monument's height from ground up (h) and Noelle's height (5 ft). The tangent function can be used to determine h:

\(tan(84.8) = h / 50\\h = 50 * tan(84.8)\)

h = 261.6 ft

Hence, the Washington Monument's (x) overall height is

x = h + 5

x ≈ 266.6 ft

The Washington Monument is therefore approximately 266.6 feet tall overall.

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Answer:

The formula for the real portion of a complex function can be used to write re(e(1/z)) in terms of x and y: f(z) + f(z*) = re(f(z)) / 2

where z* denotes z's complex conjugate.

By applying this formula to the provided function, we obtain:

re(e(1/z)) = (e(1/z) + e(1/z*)) / 2

re(e(1/z)) = (e(x-iy) + e(x+iy)) / 2

re(e(1/z)) = (ex (cos y + I sin y) + ex (cos y - I sin y)) /2

As a result, re(e(1/z)) can be represented as ex cos y in terms of x and y.

Because it fulfills Laplace's equation, which asserts that the total of a function's second-order partial derivatives is equal to zero, this function is harmonic in every domain excluding the origin.

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The Answer for #1 is found as follows:

Perimeter is the sum of all sides so...

8x+2+5x-4+9x+3=?

Group together the x's and the numbers:

8x+5x+9x+2-4+3=?

Answer = 22x+1

The Answer for #2 is found as follows:

Area of a triangle is 1/2 base times height

The bottom of the triangle is 4t, but we know t is 4 inches, so the bottom is 16.

The height is 7 times t which is 4... so the height is 28 inches.

using the formula, it will be 1/2(16)(28). The answer will be 224 inches squared.

The Answer for #2 is found as follows:

Polynomials cannot have squares or fractions. So the 2nd, 3rd, and 4th options are all not polynomials.

Answer:24²

Step-by-step explanation: 6cm × 4 cm = 24² cm

Answer: it is D

Step-by-step explanation:

The correct answer is the Beta-binomial model. Bayesian analysis is a statistical approach that incorporates prior knowledge or beliefs about a parameter of interest and updates it based on observed data using Bayes' theorem.

In the case of a binary choice, where the outcome can be either yes or no, Bayesian analysis seeks to estimate the probability of success (yes) based on available information.

The Beta-binomial model is a commonly used model in Bayesian analysis for binary data. It combines the Beta distribution, which represents the prior beliefs about the probability of success, with the binomial distribution, which describes the likelihood of observing a specific number of successes in a fixed number of trials.

The Beta distribution is a flexible distribution that is often used as a prior for modeling probabilities because of its ability to capture a wide range of shapes. The Beta distribution is characterized by two parameters, typically denoted as alpha and beta, which can be interpreted as the number of successes and failures, respectively, in the prior data.

The binomial distribution, on the other hand, describes the probability of observing a specific number of successes in a fixed number of independent trials. In the context of Bayesian analysis, the binomial distribution is used to model the likelihood of observing the data given the parameter of interest (probability of success).

By combining the prior information represented by the Beta distribution and the likelihood information represented by the binomial distribution, the Beta-binomial model allows for inference about the probability of success in a binary choice.

The other options mentioned, such as the Normal-normal model and the Gaussian model, are not typically used for binary data analysis. The Normal-normal model is more suitable for continuous data, where both the prior and likelihood distributions are assumed to follow Normal distributions. The Gaussian model is also suitable for continuous data, as it assumes that the data are normally distributed.

In summary, the Beta-binomial model is the appropriate model for Bayesian analysis of a binary choice because it effectively combines the Beta distribution as a prior with the binomial distribution as the likelihood, allowing for inference about the probability of success in the binary outcome.

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