write the formula that shows the dependence of the surface area s of a cube on the lenfth of a an edge

Answer:

80°

Step-by-step explanation:

I hope this helped!!! work is above

1. nβ₀ + β₁Σxi = Σyi

β₀Σxi + β₁Σxi² = Σxiyi

These are simultaneous linear equations in β₀ and β₁. Solving these equations will give us the critical values of β₀ and β₁ that minimize the RSS. The exact solution depends on the specific values of Σxi, Σyi, Σxi², and Σxiyi.

2.  The solution depends on the specific values of Σxi, Σyi, Σ(xi - X), and Σ(xi - X)(yi - α₀ - α₁(xi - X)).

1. To derive the critical values of β₀ and β₁ that minimize the residual sum of squares (RSS) for the sample regression model Yi = β₀ + β₁X₁ + ei, we need to find the partial derivatives of the RSS with respect to β₀ and β₁ and set them equal to zero.

The RSS is defined as the sum of the squared residuals:

RSS = Σ(yi - β₀ - β₁xi)²

To find the critical values, we differentiate the RSS with respect to β₀ and β₁ separately and set the derivatives equal to zero:

∂RSS/∂β₀ = -2Σ(yi - β₀ - β₁xi) = 0

∂RSS/∂β₁ = -2Σ(xi)(yi - β₀ - β₁xi) = 0

Simplifying the above equations, we get:

Σyi - nβ₀ - β₁Σxi = 0

Σxi(yi - β₀ - β₁xi) = 0

Rearranging the equations, we have:

nβ₀ + β₁Σxi = Σyi

β₀Σxi + β₁Σxi² = Σxiyi

These are simultaneous linear equations in β₀ and β₁. Solving these equations will give us the critical values of β₀ and β₁ that minimize the RSS. The exact solution depends on the specific values of Σxi, Σyi, Σxi², and Σxiyi.

2. To derive the critical values of α₀ and α₁ that minimize the RSS for the sample regression model Yi = α₀ + α₁(Xi - X) + ei, we follow a similar approach as in the previous question.

The RSS is still defined as the sum of the squared residuals:

RSS = Σ(yi - α₀ - α₁(xi - X))²

We differentiate the RSS with respect to α₀ and α₁ separately and set the derivatives equal to zero:

∂RSS/∂α₀ = -2Σ(yi - α₀ - α₁(xi - X)) = 0

∂RSS/∂α₁ = -2Σ(xi - X)(yi - α₀ - α₁(xi - X)) = 0

Simplifying the equations, we get:

Σyi - nα₀ + α₁(Σxi - nX) = 0

Σ(xi - X)(yi - α₀ - α₁(xi - X)) = 0

Again, these are simultaneous linear equations in α₀ and α₁. Solving these equations will give us the critical values of α₀ and α₁ that minimize the RSS. The solution depends on the specific values of Σxi, Σyi, Σ(xi - X), and Σ(xi - X)(yi - α₀ - α₁(xi - X)).

In both cases, finding the exact critical values of the parameters involves solving the equations using linear algebra techniques such as matrix algebra or least squares estimation.

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--------------------

1. Kris

2. Katie

---------------------

Option 2 is correct that is 1.79

When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3).

The quartiles formula is as follows:

Upper Quartile (Q3) = 3/4(N+1)

Lower Quartile (Q1) = (N+1) * 1/3

Middle Quartile (Q2) = (N+1) * 2/3

Interquartile Range = Q3 -Q1,

1.74, 0.24, 1.56, 2.79, 0.89, 1.16, 0.20, and 1.84 are available.

Sort the data as follows: 0.20, 0.24, 0.89, 1.16, 1.56, 1.74, 1.84, 2.79 in ascending order of magnitude.

The data set has 8 values.

hence, n = 8; third quartile: 3/4 (n+1)th term

Q3 =3/4 of a term (9) term

Q3 =27/4 th term

Q3 = 1.74 + 1.84 / 2 (average of the sixth and seventh terms)

equals 1.76

Thus Q3 is 1.76 that is option 2

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In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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Answer:

P(A|B) = 8/12 = 66.67%

Step-by-step explanation:

From 1 to 24, the number of odd numbers is 12, so event B has 12 possible values.

Among these 12 odd numbers in B, the ones that are prime are:

3, 5, 7, 11, 13, 17, 19, 23 (total of 8 numbers)

so given event B, the event A has 8 possible values inside the sample space of B.

So the probability of A given B, that is, P(A|B), is:

P(A|B) = 8/12 = 66.67%

If we want to estimate the population mean time for previews at movie theaters with a margin of error of minute, then 56 sample size should be used and if we want to estimate the population mean time for previews at movie theaters with a margin of error of minute, then 22 sample size should be used.

In the given question,

A preliminary sample conducted by the wall street journal showed that the standard deviation of the amount of time devoted to previews was 4 minutes.

(a) We have to estimate the population mean time for previews at movie theaters with a margin of error of seconds, what sample size should be used.

Assuming the confidence interval 98% and margin error of 75 seconds.

We can write 98% as 0.98.

So the value of z at 98% confidence interval using the standard table of z is 2.326.

Standard Deviation= 4 minutes

Converting minutes in seconds so,

Standard Deviation= 4*60

Standard Deviation= 240

Margin of error is 75 seconds.

So the sample size = (Value of z * Standard Deviation)/Margin Error

Sample Size = ((2.326*240)/75)^2

Sample Size = (558.24/75)^2

Sample Size = (7.4432)^2

Sample Size = 55.401

Approx value of Sample Size = 56

Hence, if we want to estimate the population mean time for previews at movie theaters with a margin of error of 75 seconds, then 56 sample size should be used.

(b) We have to estimate if we want to estimate the population mean time for previews at movie theaters with a margin of error of minute, what sample size should be used.

The given margin of error is 75 seconds.

Now converting the error in minute by dividing 60.

Now the margin of error = 75/60=5/6 minute

Standard Deviation= 4 minutes

The confidence interval 98% and margin error of 75 seconds.

We can write 98% as 0.98.

So the sample size = (Value of z * Standard Deviation)/Margin Error

sample size = {(0.98*4)/(5/6)}^2

sample size = {6(0.98*4)/5}^2

sample size = (6*3.92/5)^2

sample size = (23.52/5)^2

sample size = (4.704)^2

sample size = 22.13

Approx value of Sample Size = 22

Hence, if we want to estimate the population mean time for previews at movie theaters with a margin of error of minute, then 22 sample size should be used.

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The statement (∀z)(∀y)[(G(z) & W(y)) → E(y,z)] would be false under the circumstance described in option d, i.e., if there is a single wolf that has eaten every goat.

The given statement can be translated as "For all z (goats) and y (wolves), if z is a goat and y is a wolf, then y has eaten z." In other words, it asserts that every goat is eaten by a wolf.

Option d contradicts this statement by stating that there is a single wolf that has eaten every goat. If there exists a wolf that has consumed all the goats, then the statement (∀z)(∀y)[(G(z) & W(y)) → E(y,z)] would be false because not every goat is eaten by a wolf in that scenario. Therefore, option d represents the circumstance in which the statement would be false.


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Answer:

2/1

Step-by-step explanation:

you subtract

Answer:

Janelle ate 4/12 of the Cake

Step-by-step explanation:

The answer is 4/12 because 3/4 and 1/3 need to have the same denominator so we change them into 3/4 = 9/12 and 1/3 = 4/12 so the answer is 4/12.

P.S Can I have brainliest?

Answer:

Answer: Option D

Step-by-step explanation:

Hey there!

From the above question;

The line passes through (-3,0) and (0,3).

Use double point formula;

\(( y - y1) = \frac{(y2 - y1)}{(x2 - x1)} (x - x1)\)

Keep all values;

\((y - 0) = \frac{(3 - 0)}{(0 - ( - 3))} (x + 3)\)

Simplify it;

\(y = \frac{3}{3} (x + 3)\)

Therefore, y = x+3.

Hope it helps!

Answer:

D

Step-by-step explanation:

Answer:

y = 2

Step-by-step explanation:

\(\frac{1}{2}\) (6 - y) = y ← multiply both sides by 2 to clear the fraction

6 - y = 2y ( add y to both sides )

6 = 3y ( divide both sides by 3 )

2 = y

Answer:

y = 2

First rearrange terms:

1/2 (-y + 6) = y

Combine multiple terms into a single fraction:

1 (-y + 6) over 2

Multiply by 1:

-y + 6  over 2

Solution: y = 2

Step-by-step explanation:

Hope it helps! =D

Answer:

See below.

Step-by-step explanation:

It is a negative slope, because the line is progressing downwards.

-hope it helps

Answer:

Negative slope, I guess you call it that in English. The arrow goes from upper left down right so y would decrease.

Answer: 68 mph

Step-by-step explanation:

The crucial element missing in this design is the control group. In order to effectively study the effect of weather on college students' study habits, it is important to have a control group.

A control group serves as a baseline for comparison and helps to isolate the effect of the independent variable, which in this case is the weather. By having a control group, the researcher can compare the study habits of students on sunny days (the experimental group) with those on other types of weather conditions or non-sunny days (the control group). This allows the researcher to determine whether the weather itself has a significant impact on the study habits of college students.

Without a control group, it becomes difficult to attribute any differences in study habits solely to the weather, as there may be other factors at play that could influence the students' behavior. Therefore, including a control group is crucial for a more rigorous and valid study design in this case.

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The crucial element missing in this design is the control group. In order to effectively study the effect of weather on college students' study habits, it is important to have a control group.

A control group serves as a baseline for comparison and helps to isolate the effect of the independent variable, which in this case is the weather. By having a control group, the researcher can compare the study habits of students on sunny days (the experimental group) with those on other types of weather conditions or non-sunny days (the control group). This allows the researcher to determine whether the weather itself has a significant impact on the study habits of college students.

Without a control group, it becomes difficult to attribute any differences in study habits solely to the weather, as there may be other factors at play that could influence the students' behavior. Therefore, including a control group is crucial for a more rigorous and valid study design in this case.

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After 8 chairs have been bought in there are now 216 chairs in the theater.

A unitary method is a mathematical technique for first finding the value of a single unit and then deriving the required units by multiplying with it.

According to the given question, a small theater had 8 rows of 26 chairs each.

∴ The total number of chairs in the theater is (8×26) chairs = 208 chairs.

Later an extra 8 chairs have bought in.

∴ The total no. of chairs in the theater now is (208+8) = 216 chairs.

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Answer:

yes look at the eslotp uudh

Both betas and correlation coefficients can tell you something about the direction of a relationship. The corect option is D.

The coefficient of variation is a ratio which is used to show the level dispersion of values or treatments around the mean of a set of values.

The coefficient of variation is the ratio of the standard deviation to the mean of a set of numbers or treatments. The higher the coefficient of variation the higher the dispersion from the mean.

The coefficient of variation is the best measure of risk for an isolated single asset. Beta is the a measure of how volatile a particular stock is compared to the market.

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The roots have positive or same signs when c>0.

Note that only real numbers can be positive or negative. This concept does not apply to complex non real numbers. So first we have to make sure that the roots are real which occurs when discriminant is greater or equal to 0.

\(b^{2} -2ac > 0\\2^{2} -2(-1) (c) > 0\\4-2c > 0\\c > -2\)

Roots of quadrant equation have Samsame sign if product of roots >0.

\(\frac{a}{c} > 0\\\frac{c}{-1} > 0\\c < 0\)

Roots of quadratic equation have positive sign if product of roots<0.

c>0.

Combining results, we get:-

roots have positive signs when:-

c>0.

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dont gggggggggggggggggggggggggggggggggggggggggggg

Step-by-step explanation:

sorry but your image is not clear can you send a clearer one. thanks

Answer: The equation of the line that passes through the point (-6,6) and has a slope of -5/3 is y = -5/3x + -3.96.

Explanation:

y = 6, x = -6

By putting above values in equation (i)

6 = approximately -1.66 (-6) + b

6 = approximately 9.96 + b

approximately -3.96 = b

b = approximately -3.96

y = -5/3x + -3.96

Amount of interest on loan at Rimrock Bank, using ordinary interest at a rate of 15%, is $48,750 and at rate of 14.5%, is $47,125. In Southside National Bank , interest at a rate of 15%, is $49,500.

To compete with Rimrock Bank's offer, Southside National Bank would need to quote a rate of 14.38% using exact interest.                                    (a) To calculate the amount of interest on the loan at Rimrock Bank, we use the formula I = PRT, where I is the interest, P is the principal amount, R is the interest rate, and T is the time in years. Plugging in the values, we have I = $1,300,000 * 0.15 * (90/365) = $48,750.

(b) The amount of interest on the loan at Southside National Bank using exact interest is calculated the same way as in part (a), resulting in I = $1,300,000 * 0.15 * (90/360) = $49,500.                                                        (c) Similarly, using the same formula, we find the interest on the loan at Rimrock Bank with a rate of 14.5% to be I = $1,300,000 * 0.145 * (90/365) = $47,125.

(d) To determine the rate at which Southside National Bank should quote to compete with Rimrock Bank's last offer, we subtract the given interest difference of $1,125 from the interest calculated in part (b). Solving for R, we have $48,750 - $1,125 = $1,300,000 * R * (90/360). Solving this equation results in R ≈ 0.1438, which is 14.38% rounded to the nearest hundredth of a percent.

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Answer:

2nd, 4th, 5th

Step-by-step explanation:

Options 2, 4  and 5 are correct.

The intervals that satisfies the condition are

f(x)<=0 over the interval [0,2]

f(x)>0 over the interval (-2,0)

f(x)>=0 over the interval [2,∞)

Given : The table with x  and f(x) values

Lets analyze the table and check the each option that satisfies f(x) or not .

Look the values of x that is from -3 to 3, the f(x) values are both positive and negative . So f(x)>0 is false over the interval (-∞,3)

From the interval 0 to 2, the f(x) values are 0 and negative .

So , f(x)<=0 over the interval [0,2]

Over the interval (-1,1), f(x) values are both positive and negative

So, f(x)<0 is false over the interval (-1,1)

In the interval (-2,0) , the f(x)  is positive.

So , f(x)>0 over the interval (-2,0)

In the interval  [2,∞), f(x) is positive

So , f(x)>=0 over the interval [2,∞)

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Answer:

it's B! 1/5 x 1/5 x 1/5! it's 1/5 multiplied 3 times

Answer:

the 1/5 *1/5*1/5=1/125

Step-by-step explanation:

because of the third power

(A) dy/dx = - x/y will be the differential equations will a slope field show nothing but negative slopes in the fourth quadrant.

The slope field is utilized when you want to see the tendencies of solutions to a DE, given that the solutions pass through a certain localized area or set of points. The beauty of slope field diagrams is that they can be drawn without actually solving the DE. Slope fields allow these people to view the probable trends of a certain population based on its conditioning factors without actually solving their DE's.

In differential equations you can find what is called a "general solution" even if no initial conditions are given. If you do have initial condition, then you can transform your general solution into a "particular solution".

With the slope field visualization, you saw Sal draw several particular solutions, each one dependent of the initial conditions that he choose

As the differential equation dy/dx is a function of y, plugging in the y-value 6 gives

dy/dx = 6/6 × (4-6) = 1 ×-2 = -2,

the slope you mentioned. If you look at the point (1, 6) on the slope field diagram, you can see a short downward sloping line, of approximately slope -2.

If the slope were pi at a point, you would see an upward sloping line of approximately 3.14159

We can solve for which points this would be at:

dy/dx = π = y/6 × (4-y)

π6 = 4y-y²

multiply both sides by 6, then distribute on the right

0 = -1*y² +4 × y - 6×π,

add 6×π to the right side

The quadratic should get the y-values where the slope is π

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Answer:

Translation = Slide

Reflection = Flip

Rotation = Turn

Step-by-step explanation:

Answer:

The correct option is;

N = 4·w + 12

N = \(3 (2)^w\)

Step-by-step explanation:

The given plan the clubs will use to increase membership are;

Club 1: The starting number of members in the club = 12

The number of additional members added each week = 4

Club 2: The starting number of members in the club = 3

The total number of members at the end of each week = Double the the initial total membership

Therefore, we have;

For club 1, N = 12 + 4×w = 4·w + 12

N = 4·w + 12

For club 2, at week w, N = 3 × 2 × 2 ×...× 2 = \(3 \times 2^w\)

The correct option is therefore, N = 4·w + 12, N = \(3 (2)^w\)

false

Step-by-step explanation:

because exerise will not help to check your knowledge

The length of the curve is [5, 3].

A curve is a continuous and smooth function that can be represented in a three-dimensional space. The length of a curve is a measure of the distance between two points on the curve.

The curve r(t) = (-4t, -sin(t), -cos(t)) is a parameterized curve, where t is the parameter that defines the position of a point on the curve.

Here we need to find the length of this curve, we need to calculate the distance between two points on the curve for different values of t.

In order to find the length of the curve, we use the formula for the length of a vector, which is

=> √(x² + y² + z²),

where x, y, and z are the components of the vector.

In this case, the vector is the difference between two points on the curve. The length of the curve is then found by integrating the length of the vector over the interval [5, 3].

Complete Question:

Find the length of the given curve: r(t)=(−4t,−1sint,−1cost)where−5≤t≤3.

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The factored expression is: \(11m^3 = 11 \times m \times m \times m\)

Monomials are expressions that have a single term

The monomial expression is given as:

11m^3

Factor out 11, from the expression.

So, we have:

\(11m^3 = 11 \times m^3\)

Factor out m from the expression

\(11m^3 = 11 \times m \times m^2\)

Factor out m from the expression

\(11m^3 = 11 \times m \times m \times m\)

Hence, the factored expression is:

\(11m^3 = 11 \times m \times m \times m\)

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The monomial 11m³ can be factored as follows:

11m³ = 11 × m × m × m

A monomial is an expression that is the product of constants and an integer powers of y, like 3y². The combination of monomial makes a polynomial.  

To factor a monomial means to express it as a product of two or more monomials.  For example

Notice the factored value will give the same thing as the monomial.

Therefore, let's factor 11m³ completely.

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The required an equation for the perpendicular bisector of the line segment joining (1,2) and (-5,12) is y = 3x/5 + 41/5.

Equation of the lines which are even or lined up with the X-pivot is y = a, where an is the y - direction of the focuses on the line. Essentially, the condition of a straight line which is vertical or lined up with the Y-hub is x = a, where an is the x-direction of the focuses on the line.

Mid point of the line passing through the points (1,2) and (-5,12).

mid point = \((\frac{1-5}{2} , \frac{2+12}{2} )\) = (-2, 7)

So, the line perpendicular to given line is passing through  (-2, 7)

Slope of line of points (1,2) and (-5,12).

Slope(m) = \(\frac{12-2}{-5-1}=-\frac{5}{3}\)

Then slope of perpendicular bisector of this line is negative and reciprocal of Slope(m).

slope of perpendicular bisector(n)  = 3/5

Now, equation of line is

\((y-y_{1})=n(x-x_{1})\)

(y - 7) = 3/5(x + 2)

y = 3x/5 + 41/5

Thus required equation of perpendicular bisector is y = 3x/5 + 41/5

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