to determine the profits realized by retail stores and wholesale stores in a city, a sample of 15 stores is considered. the 95% confidence interval is found to be [1.20, 2.48], and the sample mean is 1.84. what is the margin of error?

Answer:

c = 36

Step-by-step explanation:

If the coefficient of \(x^{2}\) is one, then c = \((\frac{12}{2}) ^{2} = 6^{2} = 36\)

Step-by-step explanation:

Hey there!

Perimeter (p) = 362m.

Length (l)= 98m

Width(w) = ?

we have;

Perimeter= 2(length+wide)

362m = 2(98+w)

362= 196+2w

362-196 = 2w

166 = 2w

w = 166/2

Therefore, width (w) = 83m.

Hope it helps...

Answer:

Point Form: (- 1/4, 5/4)

Equation Form: x = - 1/4, y  = 5/4

Step-by-step explanation:

Options A , C , E ,  F , H are true for the statement population that is finding the probability.

Given that,

We have to choose the correct answer for the given statement that is finding the probability.

We know that,

Calculating a situation's probability allows us to determine its probability. Many things are difficult to determine with 100% accuracy. We can only anticipate the probability of an event occurring, or how likely it is, using it. A probability can be range 0 and 1, where 0 indicates an impossibility and 1 indicates a certainty. The probability of each event in a sample space is one.

Therefore, Options A , C , E ,  F , H are true for the statement population that is finding the probability.

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Answer:

A,because you need to find the percent of 3.5

Step-by-step explanation:

Answer:

see image

Step-by-step explanation:

56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

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We have the following:

as a sum

The answer is the option b

The average score of 301, for a simple random sample of 1,000 students, is approximately 0.95.

a) To determine the likely size of the chance error in the average score of 301 for a cluster sample of 1,000 students, we need additional information about the cluster sampling design.

The cluster sampling method involves dividing the population into clusters, selecting a subset of clusters, and then sampling all individuals within the selected clusters.

The likely size of the chance error depends on the within-cluster variability and the between-cluster variability.

Without information about the variability at each level, we cannot accurately estimate the size of the chance error in this specific scenario.

Therefore, we cannot fill in the blank without more details regarding the cluster sampling design and the variability present in the clusters.

b) If a simple random sample of 1,000 students was tested, we can estimate the likely size of the chance error in the average score of 301. Since a simple random sample implies that each student has an equal chance of being selected, we can use the standard error of the mean formula to estimate the size of the chance error.

The standard error of the mean (SE) is calculated as the standard deviation (SD) divided by the square root of the sample size (n):

SE = SD / √n

Given that the SD is 30 and the sample size (n) is 1,000, we can calculate the standard error:

SE = 30 / √1000 = 30 / 31.62 ≈ 0.95

Therefore, the likely size of the chance error in the average score of 301, for a simple random sample of 1,000 students, is approximately 0.95.

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Answer:

The mean is an average general view of the data while median is the value which divides a distribution into two equal parts showing where 50% of the data lies.

Answer:

Shown below.

Step-by-step explanation:

The mean and median are both ways to describe the center of a set of numbers.

The mean is the average of all the numbers in the set. To find the mean, you add up all the numbers and divide by how many there are.

The median is the middle number in a set of numbers when they are arranged in order from smallest to largest. If there are two numbers in the middle, then the answer is simply whatever is between them.

(Ex. if the numbers were 3 and 4, the median will be 3.5.)

The biggest difference between the mean and median is that the mean is affected by outliers, which are values that are much larger or smaller than the other values in a set of data. If there are outliers in a data set, the mean will be affected more than the median.

a) Find the dean’s eye view average class size and the student’s eye view average class size:Given that there are 16 seminar courses, each having 10 students each.Number of students in seminar courses: 16 × 10 = 160There are 2 large lecture courses, each having 100 students each.

Number of students in large lecture courses: 2 × 100 = 200

Dean’s view average class size is the simple average of the class sizes:Let’s find the Dean’s view average class size. There are 18 courses in total.

This can be obtained by dividing the total number of students by the total number of classes.

Student’s view average class size = Total number of students/Total number of classes

= 360/18

= 20

Therefore, the dean’s eye view average class size is 46.67 (approximately) and the student’s eye view average class size is 20.

Now, we need to prove that D 2, then (k/(k + 1)) - (1/n) < 0.

Therefore, we have:

S - D< (c2 - c1)*[(k/(k + 1)) - (1/n)]< 0

Hence, S < D.Therefore, the dean’s eye view average class size will be strictly less than the student’s eye view average class size, unless all classes have exactly the same size.

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A circle is the locus of points in a plane that are equidistant from one point, known as the center.

In geometry, a circle is a two-dimensional figure that consists of all points in a plane that are at an equal distance, called the radius, from a fixed point called the center. The distance from the center to any point on the circumference of the circle is always the same.

This property makes circles useful in various fields, such as mathematics, physics, and engineering. Circles have several important characteristics, including a diameter (the longest chord that passes through the center), a circumference (the boundary of the circle), and an area (the measure of the space enclosed by the circle).

The equation of a circle in the Cartesian coordinate system is (x - a)^2 + (y - b)^2 = r^2, where (a, b) represents the center coordinates and r represents the radius of the circle.

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Answer:

Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer

Answer:

#1  216371.4826

#2  1509.2555

#3  6878.8267

You should pay approximately $10,117.09 initially to secure the annuity and receive annual payments of $1500 over the 9-year period.

To find the cost of the annuity, we need to calculate the present value of the future payments. The present value represents the current worth of future cash flows, taking into account the interest earned or charged over time. In this case, we'll calculate the present value of the $1500 payments using compound interest.

The formula to calculate the present value of an annuity is:

PV = PMT × [1 - (1 + r)⁻ⁿ] / r

Where:

PV is the present value of the annuity (the amount you should pay initially)

PMT is the payment amount received annually ($1500 in this case)

r is the interest rate per period (6.28% or 0.0628)

n is the total number of periods (9 years)

Let's substitute the values into the formula:

PV = $1500 × [1 - (1 + 0.0628)⁻⁹] / 0.0628

Calculating this expression:

PV = $1500 × [1 - 1.0628⁻⁹] / 0.0628

PV = $1500 × [1 - 0.575255] / 0.0628

PV = $1500 × 0.424745 / 0.0628

PV ≈ $10117.09

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The rate of change of function 1 is 0 and the rate of change of function 2 is 2. The rate of change of function 2 is 2 more than the rate of change of function 1.

The rate of change is also known as slope. The slope of a linear function or a line is

It is given that the function 1 is passing through the points (0,3) and (4,3). Slope of function 1 is

Therefore the slope of first function is 0.

The slope intercept form of a line is

Where, m is the slope and b is y-intercept.

The second function is

Therefore the slope of second function is 2 and the y-intercept is 1.

The rate of change of function 1 is 0 and the rate of change of function 2 is 2. The rate of change of function 2 is 2 more than the rate of change of function 1.

Yeah I hope its Helpful for you

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To calculate Raymond's new mortgage payment, we can use an amortization formula.

First, we need to determine the loan amount remaining after seven years. Given that Raymond currently owes $170,118.49, this will be the principal for the extended loan.

Next, we calculate the monthly interest rate. The annual interest rate is 4.05%, so the monthly interest rate would be (4.05% / 100) / 12 = 0.003375.

Now, we can use the formula for calculating the monthly mortgage payment:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M = monthly payment

P = loan amount remaining

r = monthly interest rate

n = total number of payments

Plugging in the values:

M = $170,118.49 * (0.003375 * (1 + 0.003375)^(712)) / ((1 + 0.003375)^(712) - 1)

After evaluating this expression, we will find Raymond's new mortgage payment.

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The linear cost function is C(x) is (2100 + 20x).

What is Cost function?

The cost function calculates the absolute lowest cost of generating a specified level of output at some fixed factor prices. A firm's economic potential is described by the cost function.

As given,

Marginal cost $20; 170 items cost $5500 to produce.

Evaluate the Fixed cost:

Fixed cost = 5500 - 20 × 170

                  = 5500 - 3400

                  = 2100

Now,

cost function = fixed cost + x × (marginal cost)

Substitute values respectively,

cost function = 2100 + 20x.

Hence, the linear cost function is C(x) is (2100 + 20x).

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Answer:

0.0000000000000000000000000000

Step-by-step explanation:

Answer:

3

To find:

n

Step-by-step explanation:

бn - 7+ 4n = 23

10n-7 = 23

10n = 23 + 7

10n = 30

n = 30/10

n = 3

hope it helps you!!

With the information provided, the table is complete. It shows the interest earned and ending balance for each account based on the specified principal, interest rate, and time.

The following formula is used to calculate the interest earned:

Interest = Principal x Interest Rate x Time

And the Ending Balance is calculated by adding the earned interest to the principal:

Principle InterestRate Time (years) Interest Earned    EndingBalance

$1,000 5%                       5                $250       $1,250

$800 6.5%              6.5                $208       $1,052

$1,250 6%                        7                $525       $1,775

$2,000 7%                       5                $700       $2,700

Ending Balance = Principal + Interest Earned

It is important to note that the interest rates are expressed as percentages, and the time is given in years. The interest earned and the final balance are both in US dollars.

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The point on the plane 4x - y + 4z = 40 nearest the origin is (-3.048, -0.762, 6.467)

Given data ,

To find the point on the plane 4x - y + 4z = 40 nearest the origin, we need to minimize the distance between the origin and the point on the plane.

The normal vector to the plane 4x - y + 4z = 40 is given by (4,-1,4). To find the perpendicular distance from the origin to the plane, we need to project the vector from the origin to any point on the plane onto the normal vector. Let's choose the point (0,0,10) on the plane:

Vector from origin to (0,0,10) on the plane = <0-0, 0-0, 10-0> = <0,0,10>

Perpendicular distance from the origin to the plane = Projection of <0,0,10> onto (4,-1,4)

= (dot product of <0,0,10> and (4,-1,4)) / (magnitude of (4,-1,4))

= (0 + 0 + 40) / √(4^2 + (-1)^2 + 4^2)

= 40 / √(33)

To find the point on the plane nearest the origin, we need to scale the normal vector by this distance and subtract the result from any point on the plane. Let's use the point (0,0,10) again:

Point on the plane nearest the origin = (0,0,10) - [(40 / √(33)) / √(4^2 + (-1)^2 + 4^2)] * (4,-1,4)

= (0,0,10) - (40 / √(33)) * (4/9,-1/9,4/9)

= (0,0,10) - (160/9√(33), -40/9√(33), 160/9√(33))

= (-160/9√(33), -40/9√(33), 340/9√(33))

Hence , the point on the plane 4x - y + 4z = 40 nearest the origin is approximately (-3.048, -0.762, 6.467)

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You can use the method of substitution to solve the given linear system of equations.

The solution of the equation is given by (x,y) = (-3, 6.8)

The value of x is given by option:
Option A: -3

We can use elimination in which we eliminate one variable to get the value of other variable and then use that value to find the first variable's value.

The system of equation given to us is

\(4.2x + 8y = 41.8\\-4.2x +y = 19.4\\\)

Since we see that in the both equation have equal and opposite signed coefficient of the variable x, thus we can add both the equations to eliminate x.

Adding both the equations, we get:

\((4.2 - 4.2)x + 8y + y = 41.8 + 19.4\\0x + 9y = 61.2\\9y = 61.2\\\\y = \dfrac{61.2}{9} = 6.8\)

Putting  this value of y in the first equation, we get:

\(4.2x + 8y = 41.8\\4.2x + 8 \times 6.8 = 41.8\\4.2x = -12.6\\\\x = -\dfrac{12.6}{4.2} = -3\)

Thus,

The solution of the equation is given by (x,y) = (-3, 6.8)

The value of x is given by option:
Option A: -3

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The correct answer is A.\(\((5 \frac{1}{\overline{9}}) \times (-0.\overline{3})\)\), as it involves the multiplication of two rational numbers, resulting in a rational number.

Therefore, the product of these two rational numbers in option A will yield a rational number.

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B-girls are more commonly found in towns with military bases.

The term "B-girls" is used to refer to women who are in bars and whose role is to entertain customers and motivate them to spend more money.

This term is often a synonym of "bar girls" or "hostess"; moreover, depending on the type of bar these girls offer different services including sexual services.

Besides this, b-girls are more common in towns or areas with a higher number of possible male customers. This includes towns with military bases because these are related to a high number of men and many of them are bar customers, which makes it profitable to have b-girls in these areas.

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Answer:

2y + 11x

Step-by-step explanation:

4y + 6x + 5x - 2y

=> 2y + 11x

Hoped this helped.

Answer:

35 and 10

Step-by-step explanation:

Let m and n be the numbers

m  is 5 more than 3 times n can be written as

m = 3n + 5    ... (1)

Sum of numbers is 45 so m + n = 45 .or

m = 45 - n ... (2)

Equating RHS of (1) and (2) gives us

3n + 5 = 45 - n

Collecting like terms

3n + n = 45 -5

4n = 40

n = 10

Therefore m = 45-10 = 35

Quick Check

In (1) substitute for m and n,

LHS is m = 35

RHS = 3 * 10 + 5 = 35

The first term of the infinite geometric series is 625.Let's dive deeper into the explanation.

We are given that the sum of the infinite geometric series is \(\( \frac{15625}{24} \)\)and the common ratio is\(\( \frac{1}{25} \).\)The formula for the sum of an infinite geometric series is \(\( S = \frac{a}{1 - r} \)\), where \( a \) is the first term and \( r \) is the common ratio.
Substituting the given values into the formula, we have \(\( \frac{15625}{24} = \frac{a}{1 - \frac{1}{25}} \).\)To find the value of \( a \), we need to isolate it on one side of the equation.
To do this, we can simplify the denominator on the right-hand side.\(\( 1 - \frac{1}{25} = \frac{25}{25} - \frac{1}{25} = \frac{24}{25} \).\)
Now, we have \(\( \frac{15625}{24} = \frac{a}{\frac{24}{25}} \).\) To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as \( \frac{15625}{24} \times\(\frac{25}{24} = a \).\)
Simplifying the right-hand side of the equation, we get \(\( \frac{625}{1} = a \).\)Therefore, the first term of the infinite geometric series is 625.
In conclusion, the first term of the given infinite geometric series is 625, which corresponds to option (a).



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