This month, a company performed $519,000 of services and incurred total expenses of $438,200. The company was paid in cash for all its
services and paid cash for all its expenses. These transactions would cause

The shape of the sampling distribution of sample means it approaches a normal distribution. (option d).

The shape of the sampling distribution of sample means is determined by the size of the sample. As the sample size increases, the shape of the distribution approaches a normal distribution. This is known as the Central Limit Theorem (CLT).

The CLT states that, regardless of the population's distribution, the sampling distribution of sample means will be approximately normal as the sample size increases. This means that even if the population is not normally distributed, the distribution of the sample means will still be normal as long as the sample size is large enough.

The reason for this is that as the sample size increases, the variability of the sample means decreases. This is because the sample means tend to cluster around the population mean, making the distribution more concentrated and less spread out. As a result, the distribution becomes more symmetrical and bell-shaped, resembling a normal distribution.

Therefore, the correct answer to the multiple-choice question is d) it approaches a normal distribution.

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A poll worker analyzing the ages of voters found that

\(\mu = 65\; \And \; \delta = 5.\)   The possible voter age that would give her zx = 1. 14is 71.

Given : that the random variable,

According to the given statements ,

X = normal (65,5) Now, we will convert it into Z-score concept ,

\(\rm Z=\dfrac{x-65}{5}\)

We can also write in terms of x as well,

When,

           \(\rm z = 1.14 \\\\X = 65+5z\)

So,

\(\rm X=65+5(1.14) = 65+5.7=70.70\)

Therefore,We can also write it by rounding off the value,i.e.=71

The possible voter age that would give her zx = 1. 14is 71.

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Answer:

71

Step-by-step explanation:

Given:

The population of N = 9 scores is 4, 2, 0, 5, 3, 2, 1, 7, 3

Required:

Sketch a histogram showing the population distribution.

Explanation:

Make a frequency table for the given data as:M

Matrix-vector multiplication is a linear operation because it satisfies the properties of scalar multiplication and vector addition, which are a(u+v) = au + av and a(cu) = cau, where a is a scalar and u and v are vectors.

Matrix-vector multiplication is a fundamental operation in linear algebra, where a matrix is multiplied by a vector to produce another vector. This operation is considered linear because it adheres to certain properties.

The first property is scalar multiplication, which states that multiplying a vector u by a scalar a and adding it to another vector v (a(u+v)) is equivalent to multiplying u by a (au) and v by a (av) separately and then adding the results (au + av). In other words, the operation distributes over vector addition.

The second property is the distributive property of scalar multiplication, which states that multiplying a vector u by a scalar c and then multiplying the resulting vector (cu) by another scalar a is equivalent to multiplying u by the product of the two scalars (cau). This property allows the scalar multiplication to be distributed over scalar multiplication.

These properties ensure that matrix-vector multiplication preserves the linearity of the underlying vector space. They enable the manipulation and analysis of systems of linear equations, transformations, and other mathematical operations involving matrices and vectors.

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The given statement is True because If the sample mean is close to the population parameter, it suggests representative sampling regarding the variable of interest, although other factors should be considered too.

When the sample mean closely approximates the population parameter, it indicates that the sample is capturing the central tendency of the population. The mean is a measure of central tendency that reflects the average value of the variable of interest in the population.

If the sample mean is similar to the population mean, it suggests that the sample is a good representation of the population in terms of that particular variable.

However, it is important to note that representativeness is a relative concept. A sample may be considered representative in one sense but not necessarily in all aspects. Other factors, such as the sampling method, sample size, and sampling bias, also influence the representativeness of a sample.

In summary, when the obtained mean of the observations in a research study is close to the population parameter, it provides evidence that the sample is representative of the target population to some degree, indicating that the sample captures the central tendency of the population for the variable under investigation.

However, representativeness should be assessed in consideration of other factors as well.

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Step 1: Calculate the volume of the water in the first container.

The volume of a cylinder is V = πr^2h, where r is the radius of the cylinder and h is the height of the cylinder.

Therefore, the volume of the water in the first container is V = πr^2 x 15 cm, where r is the given radius of the container.

Step 2: Calculate the height of the water in the second container.

The volume of the water in the second container is the same as the volume of the water in the first container, since the same quantity of water is being poured from one container to the other.

Therefore, the volume of the water in the second container is also V = πr^2 x 15 cm, where r is now 2r, the radius of the second container.

To find the height of the water in the second container, we can substitute the value of the radius into the equation for the volume and solve for h. This gives us h = (15 cm) / (π(2r)^2), which simplifies to h = 15 cm / 4πr^2.

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Answer:

35 degree

bsjjskskshsbbsvdvxhusow

a. The 6 possible SRSs of size n = 2 from the given sample are:-

(94,82) , (94,76) , (94,68) , (82,76), (82,68), (76,68)

b. If we take the sample of size 3 then the distribuiton would be more clustered as variance decreases with increase of sample size

For each sample, the mean are as follows:-

The mean of 1st sample 94,82 is = (94+82)/2 = 88

The mean of 2nd sample 94,76 is = (94+76)/2 = 85

The mean of 3rd sample 94,68 is = (94+68)/2 = 81

The mean of 4th sample 82,76 is = (82+76)/2 = 79

The mean of 5th sample 82,68 is = (82+68)/2 = 75

The mean of 6th sample 76,68 is = (76+68)/2 = 72

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the answer is A) 12 cm (rounded to the nearest whole number).

The circumference of a circle can be found using the formula C = 2πr, where C is the circumference, r is the radius, and π is the mathematical constant pi (approximately equal to 3.14).

In this case, if the radius of the circle is 6 cm, we can substitute this value into the formula to find the circumference: C = 2π(6 cm) = 12π cm.

This means that the circumference of the circle is 12 times the value of pi, or approximately 37.68 cm (rounded to two decimal places).

Therefore, the answer is A) 12 cm (rounded to the nearest whole number).

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Answer:

√{121×11×11}=√(11²×11²)=±11²=±121

Answer:

4.50

Step-by-step explanation:

multiply .25 × 10

you get 2.5, which is $2.50

you than add $2 for the pick up fee

On solving the given problem by help of mathematical operations, we got - After Ray poured 0.47L, he was left with 2.201L.

The term "operation" in mathematics refers to the process of calculating a value using operands and a math operator. For the given operands or numbers, the math operator's symbol has predetermined rules that must be followed.

In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Total amount of tea Ray has - 2.671L

Amount of tea Ray poured - 0.47

Therefore,

amount he was left with was  = 2.671- 0.47 = 2.201L

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Answer:

no this would not be true because science doesnt always rely on reality as in some scientific books or films they dont fully base it on truth.

Step-by-step explanation:

Answer:

Scroll Down Below...

Step-by-step explanation:

To decide by virtue of what many age it will love trio person engaged in private ownership of business, we can use the rule of 72 for plain interest. The rule of 72 states that you can approximate the number of age it takes for an expenditure to double by separating 72 apiece annual interest. In this case, we ask about by virtue of what long it takes to trio person engaged in private ownership of business, so we'll separate 72 for one interest (5%).72 / 5 = 14.4According to the rule of 72, it would take nearly 14.4 age to double person engaged in private ownership of business at a 5% annual interest. Since we be going to trio person engaged in private ownership of business, we need to double it two times.14.4 age x 2 = 28.8 ageTherefore, it would take nearly 28.8 age to trio person engaged in private ownership of business at a 5% natural interest.In Spanish:Para determinar cuántos años tomará triplicar el money, podemos utilizar la regla del 72 para el interés plain. La regla del 72 establece que puedes aproximar el número de años que se tarda en duplicar una inversión dividiendo 72 entre la tasa de interés anual. En este caso, queremos weapon cuánto tiempo tomará triplicar el money, así que dividiremos 72 entre la tasa de interés (5%).72 / 5 = 14.4Según la regla del 72, tomaría aproximadamente 14.4 años duplicar el money a una tasa de interés anual del 5%. Como queremos triplicar el money, necesitamos duplicarlo do veces.14.4 años x 2 = 28.8 añosPor lo tanto, tomaría aproximadamente 28.8 años triplicar el money a una tasa de interés natural del 5%. La respuesta correcta es 28.8 años.

To verify that the vector xp is a particular solution of the given nonhomogeneous linear system, we need to substitute xp into the system and check if it satisfies the equation.

The given nonhomogeneous linear system can be written in the form x' = Ax + f, where A is the coefficient matrix (2 1 1 -1) and f is the constant vector (-5 2). The vector xp = (1 3) is a particular solution if it satisfies the equation x' = Ax + f.

Substituting xp into the equation, we get:

x' = (2 1 1 -1) (1 3) + (-5 2)
  = (1 -1 2 -8)

Therefore, the left-hand side of the equation is:

x' = (1 -1 2 -8)

And the right-hand side is:

Ax + f = (2 1 1 -1) (1 3) + (-5 2)
       = (1 -1 2 -8)

Since the left-hand side is equal to the right-hand side, we can conclude that the vector xp = (1 3) is indeed a particular solution of the given nonhomogeneous linear system.

We have verified that the vector xp = (1 3) is a particular solution of the given nonhomogeneous linear system by substituting it into the equation and checking if it satisfies the equation.

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If sofia has a collection of 200 coins, 40 coins represent 20% of Sofia's collection.

To find out how many coins represent 20% of Sofia's collection, we need to first calculate what 1% of her collection is.

To do this, we can divide the total number of coins by 100:

1% of Sofia's collection = 200 coins ÷ 100 = 2 coins

Now that we know that 1% of her collection is 2 coins, we can find 20% by multiplying 2 by 20:

20% of Sofia's collection = 2 coins × 20 = 40 coins

Therefore, 40 coins represent 20% of Sofia's collection.

To find out what percentage a different number of coins represents, we can use the same method. For example, if we want to know what percentage 30 coins represent, we can divide 30 by 2 (since 2 coins represent 1%), which gives us 15%.

So, 30 coins represent 15% of Sofia's collection.

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The correct answer is: c. (4, 8)

To solve the linear programming problem, we can use the graphical method to find the optimal solution. Let's graph the feasible region and identify the point that maximizes the objective function Z = 3X1 + 5X2.

The constraints are:

1. X1 + X2 ≤ 12

2. X1 + 2X2 ≤ 20

3. X2 ≥ 3

4. X1, X2 ≥ 0

Graphing these constraints, we get:

      X2

       |

       |        2X1 + X2 ≤ 12

  ------------

       |

       |        2X1 + X2 ≤ 20

       |

--------|--------

       |

       |        X2 ≥ 3

       |

The feasible region is the intersection of the shaded regions in the graph.

To maximize Z = 3X1 + 5X2, we need to find the corner point within the feasible region that gives the highest value for Z.

Checking the corner points of the feasible region, we find that the optimal solution is at point (4, 8).

Therefore, the optimal solution for (X1, X2) is:

X1 = 4

X2 = 8

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There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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Answer:

Dependent.

Step-by-step explanation:

You did not return the name into the hat, so there is technically a "higher" probability to obtain the next name.

For example, if there were 5 names inside the hat, each one technically would have a 20% chance of obtaining a name.

If you did not return the name into the hat, there would only be 4 names left, which means that it would increase to a 25% chance of obtaining a name that is still inside the name.

The chance of obtaining the other name's chance, therefore, is dependent on the first one being taken out.

The value of the angle X is 99 degrees. Option E

To determine the value of the angle, we need to note that the sum of the interior angles of a given regular polygon is determined with the formula;

(n -2)180

Such that 'n' is the number of sides of the polygon

From the information given, we have that;

The value of n = 6

Then, the sum of interior angles = (6-2)180 = 4(180)

Multiply the values

= 720

Equate the angles

x + 108 + 146 + 101 + 113 + 153 = 720

Add the values

x = 720 - 621

subtract the values

x = 99 degrees

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The number of years each person has been employed by the company is: A. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.

Based on the information provided above, we can logically deduce that the system of equations that models the situation are as follows;

x = 4y       .....equation 1.

x = 8 + 2y       .....equation 2.

Where:

Substituting equation 1 into equation 2, we have the following:

4y = 8 + 2y

4y - 2y = 8

2y = 8

y = 8/2

y = 4 years.

Next, we would determine the value of x:

x = 4y

x = 4(4)

x = 16 years.

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Complete Question:

Nikhil and Mae work at the same company. Nikhil has been at the company 4 times as long as Mae. Nikhil's time at the company is 8 more than 2 times Mae's time. The following system of equations models the scenario:

x = 4y

x = 8 + 2y

How many years has each person been employed by the company?

Nikhil has been with the company for 16 years, while Mae has been there for 4 years.

Nikhil has been with the company for 24 years, while Mae has been there for 6 years.

Nikhil has been with the company for 20 years, while Mae has been there for 5 years.

Nikhil has been with the company for 12 years, while Mae has been there for 3 years.

Answer:

The is no significant evidence to conclude that mean is greater than 22

Step-by-step explanation:

H0 : μ = 22

H0 : μ > 22

The test statistic :

(xbar - μ) ÷ (σ/sqrt(n))

xbar = 22.3 ; n = 36 ; μ = 22 ; σ = 3.7

(22.3 - 22) ÷ (3.7/√36)

0.3 ÷ 0.6166666

Test statistic = 0.486

The Pvalue using a Pvalue calculator from Zscore is :

Pvalue = 0.313

α = 0.05

Pvalue > α ; We fail to reject the Null ; The is no significant evidence to conclude that mean is greater than 22

The functions can be ranked as $f_6(n) < f_1(n) < f_5(n) < f_2(n) < f_4(n) < f_3(n)$.

The functions in increasing order of asymptotic complexity $(\Theta)$ are as follows:

1. $f_6(n) = 20$ (constant complexity)

2. $f_1(n) = \log n$ (logarithmic complexity)

3. $f_5(n) = n \log n$ (linearithmic complexity)

4. $f_2(n) = 100000 n$ (linear complexity)

5. $f_4(n) = n^2$ (quadratic complexity)

6. $f_3(n) = 1.0001^n$ (exponential complexity)

In terms of increasing order of asymptotic complexity, the functions can be ranked as $f_6(n) < f_1(n) < f_5(n) < f_2(n) < f_4(n) < f_3(n)$.

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The number of adults, teenagers, and preteen children present at the band concert can be determined by solving the equation                          x + 1.13y + 0.26z = 4.

Let's analyze the equation x + 1.13y + 0.26z = 4. We can rewrite it as:

x = 4 - 1.13y - 0.26z

From the equation, we observe that the number of adults, x, depends on the number of teenagers, y, and preteen children, z. The coefficients 1.13 and 0.26 represent the relative proportions of teenagers and preteen children compared to adults.

To find the specific values for x, y, and z, we need additional information or equations. The given equation alone does not provide enough information to determine unique solutions for x, y, and z.

However, we can use the equation to analyze the relationship between the variables. For example, if we assume values for y and z, we can calculate x. The values of y and z can be chosen based on the context or any additional information available.

In conclusion, the equation x + 1.13y + 0.26z = 4 describes the relationship between the number of adults, teenagers, and preteen children at the band concert. By choosing appropriate values for y and z, we can calculate the corresponding value of x.

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First draw a straight line and plot the four points A,B,C,D on that line. It doesn't matter where you plot the points as long as they are in order and none overlap.

We're given AD = x+203. We also know that BD = x+127. Since AB + BD = AD (segment addition postulate) we can determine the length of AB

AB + BD = AD

AB + BD-BD = AD-BD Subtract BD from both sides.

AB = AD-BD

AB = (x+203)-(x+127)

AB = x+203-x-127

AB = 76

The length of BC is also 76 (given). So,

AB+BC = 76+76 = 152

this is equal to the length of AC because AB+BC = AC

So, AC = 152 units

Final Answer: 152 units

The value of the double integral using the easier order, ydA bounded by y = x − 6; x = y² is 125/12.

The double integral, indicated by ', is mostly used to calculate the surface area of a two-dimensional figure. By using double integration, we may quickly determine the area of a rectangular region. If we understand simple integration, we can easily tackle double integration difficulties. Hence, first and foremost, we will go over some fundamental integration guidelines.

Given, the double integral ∫∫yA and the region y = x-6 and x = y²

y = x-6

x = y²

y² = y +6

y² - y - 6 = 0

y² - 3y +2y - 6 = 0

(y-3) (y+2) = 0

y = 3 and y = -2

\(\int\int\limits_\triangle {y} \, dA\\ \\\)

= \(\int\limits^3_2 {y(y+6-y^2)} \, dx \\\\\int\limits^3_2 {(y^2+6y-y^3)} \, dx \\\\(\frac{y^3}{3} + 3y^2-\frac{y^4}{4} )_-_2^3\\\\\frac{63}{4} -\frac{16}{3} \\\\\frac{125}{12}\)

The value for the double integral is 125/12.

Integration is an important aspect of calculus, and there are many different forms of integrations, such as basic integration, double integration, and triple integration. We often utilise integral calculus to determine the area and volume on a very big scale that simple formulae or calculations cannot.

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There is only one way to find out the third side in a triangle with the given two sides.

Triangle is a shape composed of three sides. Each side may have the same length or different lengths. To find out the length of one of the sides of a triangle, there are at least two things that you need to know:

The length of the other two sides. Angles with at least one known number.

If a triangle is a right triangle, Pythagoras Theorem can only be used to determine the third side if only the first two sides of the triangle are known, but that's only because a right triangle always has one 90° angle.

a² + b² = c²

where,

a, b are two given sides

From the formula of base of an isosceles triangle, if we know the side length and height, we can find the base of the triangle.

b = 2√(a² - h²)

where,

a is the length of the side

h is the height

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Answer:

The temperature is \(50^{\circ}F\)

Step-by-step explanation:

Given

\(F= (C*1.8) + 32\)

Required

Find F when \(C = 10\)

\(F= (C*1.8) + 32\)

Substitute 10 for C

\(F = 10 * 1.8 + 32\)

\(F = 18 + 32\)

\(F = 50\)