Data is collected from a sample of 100 randomly selected students at the City University of New York that showed that the mean number of college credits earned per year is 25.6 with a standard deviation of 2.1
. Are these numbers statistics or parameters? Explain. The numbers are parameters because the numbers were calculated for a sample of City University of New York students and are estimates. The numbers are statistics because the numbers were calculated for a sample of City University of New York students and are estimates. The numbers are statistics because the numbers were calculated for all City University of New York students. The numbers are parameters because they numbers were calculated for all City University of New York students.

The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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Monthly payment before deferral: $345.09. Balance after deferral: $67,901.53. Monthly payment after deferral: $380.57. Monthly payment to pay off debt within 25 years from graduation: $421.63.

To calculate the monthly payment for a student loan, we can use the loan amortization formula.

Monthly payment calculation:

We can use the formula for calculating the monthly payment on an amortizing loan:

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

where PMT is the monthly payment, P is the loan amount, r is the monthly interest rate, and n is the total number of payments.

Given:

P = $62,100 (loan amount)

r = 4.6% per year / 12 months = 0.046/12 (monthly interest rate)

n = 25 years * 12 months = 300 (total number of payments)

Substituting these values into the formula, we can calculate the monthly payment:

PMT = (62,100 * (0.046/12)) / (1 - (1 + (0.046/12))^(-300))

Balance after deferral period:

To calculate the balance after the deferral period of 2 years, we need to calculate the interest accrued during that period and add it to the original loan amount:

Interest accrued during deferral = P * r * deferral period (in years)

New balance = P + Interest accrued during deferral

New monthly payment after deferral period:

To calculate the new monthly payment after the deferral period, we can use the same formula as before, but with the new balance and the remaining number of payments:

New PMT = (New balance * r) / (1 - (1 + r)^(-n))

Monthly payment to pay off the debt within 25 years from graduation:

To calculate the monthly payment to pay off the debt within 25 years from graduation, we need to adjust the remaining number of payments:

Remaining number of payments = 25 years * 12 months - deferral period

Then we can use the same formula as before to calculate the monthly payment.

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The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.

Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.

For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.

It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

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Answer:

y ≥ 9 = -28

y ≥ -28-9

y ≥ -37

The equation is a shorthand method for writing a mathematical rule.

The answer to your question is b.equation. An equation is a shorthand method for writing a mathematical rule. It represents a relationship between two or more variables using mathematical symbols and operations. Equations are commonly used in algebra, calculus, and other areas of mathematics to solve problems and make predictions. They are written using an equal sign (=) to show that the expression on the left is equal to the expression on the right. Equations are an important tool in mathematics because they allow us to express complex ideas in a concise and precise way. By using equations, we can simplify calculations and solve problems more efficiently.
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Answer:

Width x length

Step-by-step explanation:

Find the width or how wide it is

Then find the length or how long it is

multiply those

For two pipes of 12-cm and 18-cm diameter transporting hot water with the same properties, mean temperatures, and velocities, the convective heat transfer rate is higher for the 12-cm diameter pipe due to its higher convective coefficient.

The convective heat transfer rate is given by:

Q = h*A*(T_s - T_m)

where h is the convective coefficient, A is the surface area in contact with the fluid, T_s is the surface temperature, and T_m is the mean temperature of the fluid.

Since the properties of the water and the surface temperature are the same for both pipes, the only difference between the two flows is the diameter of the pipes. Therefore, we can compare the convective heat transfer rates by comparing the convective coefficients.

For the 12-cm diameter pipe, the convective coefficient is:

h1 = 0.047 * 0.6 / (1.004 x 10^-6 * 2.5)^0.8 = 423.4 W/m^2K

For the 18-cm diameter pipe, the convective coefficient is:

h2 = 0.047 * 0.6 / (1.004 x 10^-6 * 2.5)^0.8 = 277.7 W/m^2K

Since h1 > h2, the water flowing through the 12-cm diameter pipe will have a higher convective heat transfer rate to the pipe.

Therefore, the water flowing through the 12-cm diameter pipe will have a higher convective heat transfer rate to the pipe compared to the water flowing through the 18-cm diameter pipe.

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For two pipes of different diameters, the convective heat transfer rate is compared using the convection coefficient formula. The pipe with the larger diameter will have a higher convective heat transfer rate.

We can use the given equation for the convection coefficient and the fact that the properties and conditions of the fluid are the same for both pipes to compare the convective heat transfer rates for the two pipes.

For the 12-cm diameter pipe, we have:

h_1 = 0.047*D*k/ν*U_m*D^0.8

h_1 = 0.047*k/ν*U_m*D^0.2

For the 18-cm diameter pipe, we have:

h_2 = 0.047*D*k/ν*U_m*D^0.8

h_2 = 0.047*k/ν*U_m*D^0.2

Since k, ν, and U_m are the same for both pipes, we can compare the convective heat transfer rates based on the diameter D:

h_1/h_2 = (D_1/D_2)^0.2

Substituting the values for the diameters, we get:

h_1/h_2 = (12 cm/18 cm)^0.2

h_1/h_2 = 0.841

Therefore, the convective heat transfer rate for the 12-cm diameter pipe is 0.841 times that of the 18-cm diameter pipe. This means that the water in the 18-cm diameter pipe will have a higher convective heat transfer rate to the pipe than the water in the 12-cm diameter pipe.

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Answer:

a) x= 82°

Step-by-step explanation:

Please see the attached image for the full solution.

Answer:

The value of x is 82⁰

Step-by-step explanation:

As we know that,

The sum of two opposite interior angle of triangle is equal to it's exterior angle :

Then,

\( \sf \longrightarrow{x + 21 \degree = 103 \degree}\)

\( \sf \longrightarrow{x = 103 \degree - 21 \degree}\)

\( \sf \longrightarrow{x = 82 \degree}\)

Hence, the value of x is 82⁰.

Answer:

choose   A

Step-by-step explanation:

Step-by-step explanation:

3.5x pi=38.48

38.48^2=1,480.7104

38.48x8.2=315.536

315.536+1,480.7104=

1,796.2464cm^2

Answer:

60%

Step-by-step explanation:

There are a total of 45 people 24 boys and 21 girl=45

27 of them are in the club 27 out of 45=60%

The percent of the theater group which is also in the photography club is evaluated as 60%

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\(\dfrac{a}{100} \times b\)

For the considered situation, we have the following figures:

Total students = 21 + 24 = 45

Total students who are in theater group as well as in photography club = 15 + 12 = 27

Thus, the percent of theater group which is also in the photography group is percent of 45(amount of students in theater group) which equates to 27(amount of students who are in theater group as well as in photography club) = \(x\%\) (say).

Then, by using the percent's definition, we get:

\(\dfrac{45}{100} \times x = 27\\\\\text{Multiplying both the sides by 100/45}\\\\x = \dfrac{27 \times 100}{45} = 60 (\text{in percent})\)

Thus, the percent of the theater group which is also in the photography club is evaluated as 60%

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Answer:

10k

Step-by-step explanation:

Answer:

10k

Step-by-step explanation:

distribute the 5 to the 2 and leave the k

the line of reflection is the vertical line x = 7.Thus, if we reflect polygon ABCDE across the line x = 7, we get polygon A' B' C' D' E'.

To determine the line of reflection, we need to find the axis that maps each point of polygon ABCDE to its corresponding point on polygon A' B' C' D' E'.

If we observe the coordinates of the vertices of the polygons, we can see that the x-coordinates of the corresponding points are related by x' = 14 - x, where x is the x-coordinate of the point in polygon ABCDE. Similarly, the y-coordinates of the corresponding points are related by y' = y.

Now, if we reflect polygon ABCDE across the line of reflection, each point of polygon ABCDE will map to its corresponding point on polygon A' B' C' D' E' such that the distance between the line of reflection and the point is equal to the distance between the line of reflection and its image.

If we consider a point (x, y) in polygon ABCDE and its corresponding point (x', y') in polygon A' B' C' D' E', we can see that the line of reflection is the vertical line that passes through the midpoint of the segment joining (x, y) and (x', y').

We can find the midpoint of this segment by using the midpoint formula:

((x + x')/2, (y + y')/2)

Substituting the values of x and y in terms of x' and y', we get:

((14 - x' + x')/2, y/2) = (7, y/2)

Therefore, the line of reflection is the vertical line x = 7.

Thus, if we reflect polygon ABCDE across the line x = 7, we get polygon A' B' C' D' E'.

In summary, the line of reflection is x = 7.

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We cannot determine the expressions that can be used to find "m" from the given options as none of the options listed are in the format of an expression that could be used to solve for "m".

We would need additional information or context to determine what "m" represents and how it is related to the given options.

The Non-real solutions for the equation \(x^{4} -x^{3}+10x^{2} -16x-96=0\) are (-4i, 4i).

Non-real solution:

An answer to a mathematical equation with the root of a negative number that cannot be determined using solely real numbers—i.e., numbers that can be described along a single axis—is referred to as a non-real solution.

If a quadratic has a negative discriminant, then the quadratic equation has a Non-real solution.

Given,

         \(x^{4} -x^{3}+10x^{2} -16x-96=0\)

On factorizing the above equation, we get

             \((x-3)(x-2)(x^{2} +16)=0\)

Applying Zero Product Property,

\(x^{2} +16 = 0\)      or     \(x-3=0\)     0r     \(x+2=0\)

Taking \(x^{2} +16 = 0\), we get

                \(x^{2} =-16\)

                x = ± \(\sqrt{-16}\)

                x = ± 4i              [∵ i = √-1]

Hence,

      The Non-real solutions for the equation \(x^{4} -x^{3}+10x^{2} -16x-96=0\) are (-4i, 4i).

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Answer:

C

Step-by-step explanation:

edge 2026

If Carrie has a string 9 inches long, what she will cut the piece into  is mathematically given as

X=2.25pcs

Generally, the equation for the number of pieces  is mathematically given as

X=Total number *ratio

Therefore

X=9*1/4

X=2.25

In conclusion, If Carrie has a string 9 inches long, she will get 2.25 pics at a 1/4 ratio

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Answer:

Therefore, the staff should order 320 blue bags, 360 black bags, and 120 gray bags.

Step-by-step explanation:

To determine how many bags of each color to order, we need to estimate the proportion of students who prefer each color based on the sample of 120 students. We can then use these proportions to predict the number of bags of each color needed for all 800 students. Here's how we can do it:

Determine the number of students in the sample who prefer each color:

Let B be the number of students who prefer blue

Let K be the number of students who prefer black

Let G be the number of students who prefer gray

Based on the sample of 120 students, we know:

B + K + G = 120

Estimate the proportion of students who prefer each color:

The proportion of students who prefer each color in the sample is:

p(B) = B/120

p(K) = K/120

p(G) = G/120

Predict the number of bags of each color needed for all 800 students:

The predicted number of bags of each color needed for all 800 students is:

Bags of blue = p(B) * 800

Bags of black = p(K) * 800

Bags of gray = p(G) * 800

So, using the sample results, we get:

Bags of blue = (48/120) * 800 = 320

Bags of black = (54/120) * 800 = 360

Bags of gray = (18/120) * 800 = 120

Answer: A≈1385.44m²

Step-by-step explanation:

A=πr2=π·212≈1385.44236m²

The equilibrium price is the price at the equilibrium price is the price that brings supply and demand into balance, ensuring that the market clears and there is neither a shortage nor a surplus of goods.

The equilibrium price is the price at which the quantity demanded by consumers equals the quantity supplied by producers in a market. It is the point of balance between supply and demand.

At the equilibrium price, there is no shortage or surplus of goods in the market. The quantity demanded by consumers at that price matches the quantity supplied by producers, resulting in a state of market equilibrium.

If the price is set above the equilibrium price, there will be a surplus of goods because the quantity supplied exceeds the quantity demanded. Producers will be left with excess inventory, and they may need to lower the price to sell their goods.

On the other hand, if the price is set below the equilibrium price, there will be a shortage of goods because the quantity demanded exceeds the quantity supplied. Consumers will be willing to buy more goods at the lower price, and producers may need to raise the price to meet the increased demand.

Therefore, the equilibrium price is the price that brings supply and demand into balance, ensuring that the market clears and there is neither a shortage nor a surplus of goods.

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\(\huge\textsf{Hey there!}\)

\(\mathsf{2 + 3\times(8 + 5^3 \div1}\\\mathsf{\rightarrow 2 + 3\times(8 + 125\div1)}\\\mathsf{\rightarrow 2 + 3\times(8 + 125)}\\\mathsf{\rightarrow 2 + 3\times 133}\\\mathsf{\rightarrow 2 + 399}\\\mathsf{\rightarrow 401}\\\\\large\boxed{\textsf{Therefore, your answer is: 401}}\huge\checkmark\)

\(\large\text{Good luck on your assignment \& enjoy your day!}\\\\\\\frak{Amphitritr1040:)}\)

Answer:

401

Step-by-step explanation:

2 + 3 × ( 8 + 5³ ÷ 1 )

Any expression divided by the 1 remains the same.

➣ 2 + 3 × ( 8 + 5³)

Evaluate the power.

➣ 2 + 3 × ( 8 + 125)

Distribute 3 through the parentheses.

➣ 2 + 3 × 8 + 3 × 125

➣ 2 + 24 + 375

Calculate the sum of positive numbers.

\( \small \sf \: ➣ \: 401\)

Answer:

10:05

Step-by-step explanation:

10:05

7:40+2 hours =9:40+25=10:05

Answer: 432 ft^2

Step-by-step explanation:

If 1"=3', and the box is 8"x6", then we can simply multiply the 8 and 6 by three. You would get 24 by 18.

Follow this up by the equation a=w*l to get

a=24*18 = 432 ft^2.

Yes, the equation C-1(A+X)B-1=In has a solution, X. To find the solution, first use C-1(A+X)B-1=In to simplify to C-1 AB-1=In+X. Next, use matrix multiplication to expand C-1AB-1 to In+X = AC-1B-1-B-1C-1. Subtract In from both sides of the equation to get X=AC-1B-1-B-1C-1-In. This is the solution for X, where A, B, and C are nan invertible matrices.

Given that A, B, and C are invertible nan matrices, we have to check if the equation C-1(A+X)B-1=In has a solution or not, and if there is a solution, we have to find X.

Let's solve it. Let's multiply both sides of the equation by B and C, respectively, we get C-1(A+X)B-1B = IB and C-1(A+X) = B. Now, we have to multiply both sides by C on the left, so we get C*C-1(A+X) = CB, which becomes A+X = CB.

Now we have to multiply both sides by B-1 on the right, so we get A + XBB-1 = CBB-1, which becomes A + XB-1 = CB-1.Now, we have to multiply both sides by C-1 on the left, so we get C-1A + C-1XB-1 = I.

Now, we have to multiply both sides by B and C, respectively, which results in C-1AC-1B + XC-1B = B. Finally, X = B(C-1AC-1B)B-1 - C-1B + I. We know that if A and B are matrices of the same order, then (AB)-1 = B-1A-1. By using this property, we can write the solution as X = B-1(A-1 + C-1)-1B-1 - C-1B + I. So, the solution exists for the given equation.

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a. The equation representing the cost of buying and operating the Super Cool X1400 is: C = 800 + 60m. b. The equation representing the cost of buying and operating the Efficient Energy X2000 is: C = 1200 + 40m. c. Your family would have to use the Efficient Energy model for 10 months to compensate for the additional cost of the original purchase. d. Figuring your family will only use the air conditioner for four months each year, you would have to wait 5 years to start saving money overall.

a. The cost of buying the Super Cool X1400 is a one-time expense of $800. Additionally, the cost of operating it is $60 per month. Therefore, the equation representing the cost C as a function of months m is C = 800 + 60m.

b. The cost of buying the Efficient Energy X2000 is a one-time expense of $1200. The operating cost is $40 per month. Hence, the equation representing the cost C as a function of months m is C = 1200 + 40m.

c. To compensate for the additional cost of the original purchase (which is $400), we equate the two cost equations and solve for m:

800 + 60m = 1200 + 40m

20m = 400

m = 20

Therefore, your family would have to use the Efficient Energy model for 20 months (or 10 months more than the Super Cool X1400) to compensate for the additional cost.

d. Considering your family only uses the air conditioner for four months each year, we divide the total number of months (20) by four to find the number of years needed to start saving money overall:

20 months / 4 months/year = 5 years

Hence, you would have to wait 5 years to start saving money overall by choosing the Efficient Energy X2000.

a. The cost of buying and operating the Super Cool X1400 is represented by the equation C = 800 + 60m.

b. The cost of buying and operating the Efficient Energy X2000 is represented by the equation C = 1200 + 40m.

c. Your family would have to use the Efficient Energy model for 10 months to compensate for the additional cost of the original purchase.

d. Assuming your family uses the air conditioner for four months each year, you would have to wait 5 years to start saving money overall by choosing the Efficient Energy X2000.

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complete question- Your family plans to buy a new air conditioner. They can buy the Super Cool X1400 for $800, or they can buy the Efficient Energy X2000 for $1200. Both models will cool your home equally well, but the Efficient Energy model is less expensive to operate. The Super Cool X1400 will cost $60 per month to operate, while the Efficient Energy X2000 costs only $40 per month to operate. a. Write an equation to represent the cost of buying and operating the Super Cool X1400 where C= cost and m= months. b. Write an equation to represent the cost of buying and operating the Efficient Energy X2000. c. How many months would your family have to use the Efficient Energy model to compensate for the additional cost of the original purchase? d. Figuring your family will only use the air conditioner for four months each year, how many years ill you have to wait to start saving money overall?

Answer:

300

Step-by-step explanation:

375 divided by 5=75

Each “1”=75

4x75=300

There are 300 boys.

Hope this makes sense

Answer:

300 boys

Step-by-step explanation:

Let the number of boys = x

Girls: 375

boys : girls = 4 : 5

total in the ratio is 9

girls are 5/9 of total, and are 375

boys are 4/9 of total

5/9 x = 375

x = 375 × 9/5

x = 675

Boys are 4/9 of total.

4/9 × 675 = 300

Answer:

b 17/18

Step-by-step explanation:

Solve the one's in bracket then later solve everything together

The cross-correlation function satisfies Ray(T) = R(-7). (b) The cross-power spectral density may or may not be guaranteed to be real-valued, depending on the properties of the jointly WSS random processes. (c) The condition on h(t) for the cross-power spectral density of r(t) and y(t) to be real-valued is that the impulse response h(t) must be a real-valued function.

(a) The cross-correlation function between two jointly wide-sense stationary (WSS) random processes, x(t) and y(t), is denoted as Ray(T), where T represents the time lag. In this case, it is stated that Ray(T) is equal to R(-7), indicating that the cross-correlation function is symmetric around a time lag of -7.

(b) The cross-power spectral density (CPSD) is the Fourier transform of the cross-correlation function. Whether the CPSD is guaranteed to be real-valued depends on the properties of the jointly WSS random processes x(t) and y(t). In general, if the processes are real-valued, the CPSD will also be real-valued. However, if the processes have complex-valued components, the CPSD may have imaginary parts.

(c) Consider a WSS process r(t) at the input of a linear time-invariant (LTI) filter with impulse response h(t), and let the output be denoted as y(t). The condition for the cross-power spectral density of r(t) and y(t) to be real-valued is that the impulse response h(t) must be a real-valued function. This condition ensures that the LTI system preserves the symmetry properties of the input processes, leading to a real-valued cross-power spectral density.

In summary, the cross-correlation function between jointly WSS random processes satisfies the symmetry property Ray(T) = R(-7). The cross-power spectral density may or may not be real-valued, depending on the nature of the input processes. To ensure a real-valued cross-power spectral density between a WSS input process and the output of an LTI filter, the impulse response of the filter must be real-valued.

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Answer:

c.3 got a 100

Step-by-step explanation:

C

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

(a). The x estimations of the turning points are -1.8 and 1.1, according to the graph.

(b). Where the graph crosses the x axis are the solutions. x = -3, 0, and 2 are the values.