Are -345° and 2185° co-terminal?​

To find the probability of a company having both a website and a section in the newspaper, we can use the formula for conditional probability.

Let's denote the events as follows:
A: A company has a section in the newspaper
B: A company has a website

We are given the following probabilities:
P(A) = 0.43 (Probability of a company having a section in the newspaper)
P(B|A) = 0.84 (Probability of a company having a website given that it has a section in the newspaper)

The probability of both events A and B occurring can be calculated as:
P(A and B) = P(A) * P(B|A)

Substituting in the values we have:
P(A and B) = 0.43 * 0.84
P(A and B) = 0.3612

Therefore, the probability of a company having both a website and a section in the newspaper is 0.3612 or 36.12%.

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Answer:

243

Step-by-step explanation:

-9^2 = -9 * -9 = 81

81 * 3 = 243

Answer:

No because the first one will get an answer of -2 while the second one will get an answer of 14

Step-by-step explanation:

Hope This Helped

Answer:

no

Step-by-step explanation:

To solve this we can plug in 2 for x and 2 for y and see if the equations are true

we have

2= -4(2)+6

2= -8+6

2= -2

this is false, the answer is no

Answer:

21 rounds

Step-by-step explanation:

\(1\) \(round = 0.4km\)

\(Total\) \(distance = 8.4km\)

\(8.4/0.4\)

\(=21\)

The number of rounds he makes, if he runs a total of 8.4 km distance.

\(\large\boxed{R=\frac{Total \: distance}{Distance \: covered \: in \: 1 \: round}}\)

So, we'll have to divide the total distance covered by distance covered in 1 round.

Let's substitute according to the formula.

\(R= \frac{8.4}{0.4}\)

= 21 rounds

Hence, the number of rounds he makes, if he runs a total of 8.4 km distance is 21

Answer:

His total sales would need to be at least $16,285.

Step-by-step explanation:

This is because the percentage of money that they would give him on top of his sales is 3.5%. To find out the answer of how much he would be paid if he sold the average amount, we would need to plugin the numbers then reverse the process. This would be:

57000 divided by 3.5 to get $16,285.

Hope this helps

Qualitative research would that study both groups and monitored to see if either of these made a difference in how often these people use their smart phones use while behind the wheel.

Qualitative exploration is a type of exploration that explores and provides deeper perceptivity into real- world problems. rather of collecting numerical data points or intermediate or introduce treatments just like in quantitative exploration, qualitative exploration helps induce suppositions as well as further probe and understand quantitative data. Qualitative exploration gathers actors' gests , comprehensions, and geste . It answers the approaches and whys rather of how numerous or how important. It could be structured as a stage-alone study, purely counting on qualitative data or it could be part of mixed- styles exploration that combines qualitative and quantitative data. This review introduces the compendiums to some introductory generalities, delineations, language, and operation of qualitative exploration.

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Based on the given sample input and output, it appears that the `invert_dict` Python function is correctly inverting the dictionary.

The function takes a dictionary as input and produces an output where the keys and values of the input dictionary are swapped.

In the given example, the input dictionary is `{1: 10, 2: 10, 3: 20}`. After applying the `invert_dict` function, the output is `{10: [1, 2, 3], 20: [3]}`. This output indicates that the keys from the input dictionary have become values in the output, and the values from the input dictionary have become keys in the output.

Additionally, the function correctly handles duplicate values in the input dictionary by creating a list of keys associated with each unique value in the output dictionary.

Therefore, based on the provided sample input and output, it can be concluded that the `invert_dict` function is implemented correctly and successfully inverts the given dictionary.

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Answer:

A big "NO".

Step-by-step explanation:

Nope! It isn't correct to say that any number multiplied by 3 is a perfect cube. Let's take some examples :

Thus, it isn't correct to say that any number multiplied by 3 is a perfect cube.

A)

If the order of choice is taken into consideration, we consider four possibilities for the first choice and three for the second. Then the total number of ways is given by:

B)

If the order of choices is not taken into consideration, we must divide the the previous result by 2, which is the total number of ways by which we can organize two letters (ex: AB and BA):

The value of a = -2 and b = 3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

Here, we have

Given: 3a - 5b = -26, a + 2b = 6

We have to solve this equation.

3a - 5b = -26...(1)

a + 2b = 6...(2)

Now we multiply equation (1) by 2 and equation (2) by 5 and we get

6a - 10b = -52....(3)

5a + 10b = 30....(4)

After solving equations (3) and (4), we get

11a = -22

a = -2

Now we put the value of 'a' in equation(3) and we get

6(-2) - 10b = -52

-10b = -52 + 12

-10b =  -30

b = 3

Hence, the value of a = -2 and b = 3.

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a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.

If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.

On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.

In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.

By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.

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The answer is attached. I hope this helps answer your question!

Answer:

10

Step-by-step explanation:

data=11,7,21,14,9,x

mean=sum of data/no of data

12=11+7+21+14+9+x/6

12*6=62+x

72-62=x

10=x

therefore sixth number is 10.

Answer:

A, x = 1

Step-by-step explanation:

3x = 3 simplified is x = 1

\(\measuredangle A\cong \measuredangle E\implies 112=16x\implies \cfrac{112}{16}=x\implies \boxed{7=x} \\\\[-0.35em] ~\dotfill\\\\ \overline{MS}\cong \overline{NR}\implies 41=3x+5y\implies 41=3(7)+5y\implies 41=21+5y \\\\\\ 20=5y\implies \cfrac{20}{5}=y\implies \boxed{4=y}\)

Answer:

9 7/12

Step-by-step explanation:

you may have mis typed an answer or the answer choice has a typo

8 5/6 - 5 1/2 + 6 1/4 or 8.83333333 - 5.5 + 6.25 = 9.58333333 or 9 7/12

The result is 24 is a rational number.

The product of 2√6 and √24, we can simplify the square root expressions first.

First, let's simplify √6:

√6 can be further simplified as follows:

√6 = √(2 × 3)

= √2√3

Now, let's simplify √24:

√24 can be further simplified as follows:

√24 = √(4 × 6)

= √4√6

= 2√6

Now, we can find the product of 2√6 and √24:

2√6 × √24 = (2√6) × (2√6)

= 4√6 × √6

= 4(√6)²

= 4 × 6

= 24

The product of 2√6 and √24 is 24.

Let's determine whether the result is rational or irrational.

A rational number can be expressed as the ratio of two integers, whereas an irrational number cannot be expressed as such.

It can be expressed as the ratio 24/1, where both 24 and 1 are integers.

The result is rational.

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When parking next to a curb, you may not park more than 12 inches away from the curb.

Curb parking refers to the practice of parking a car alongside the road, adjacent to the curb. It is a common method of parking in urban areas where designated parking spaces may be limited. When parking parallel to the road, vehicles are positioned with either the front or back bumper facing the direction of the road.

To ensure safe and efficient use of road space, there are regulations in place regarding curb parking. One important regulation is the requirement to park within a certain distance from the curb. In general, vehicles are not allowed to park more than 12 inches away from the curb.

The purpose of this regulation is to maintain an organized and orderly parking arrangement, allowing for the smooth flow of traffic and the safe passage of pedestrians. By parking close to the curb, vehicles minimize obstruction to other vehicles and ensure that the road remains clear for traffic.

It is essential for drivers to adhere to these parking regulations to avoid fines or penalties and to contribute to the overall safety and functionality of the road.

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Option 2 has a lower NPV and thus should be chosen as it results in less total payment and better savings. Hence, you would choose option 2 as the Net Present Value of choosing option 2 is -9,903,615.48.

Given:

Purchase price = 12.5 million baht

Down payment = 15%30-year mortgage

We have to calculate the option which is best for us.

Option 1: Mortgage rate = 7.25%

Option 2:Mortgage rate = 6.75%

(a) Monthly Payment of Option 1:

Loan Amount = 12.5 * (100-15)%

= 10,625,000 baht

n = 30 * 12

= 360

i = 7.25%/12

= 0.006042857

Yearly Interest Paid = i * 10,625,000

= 64,515.48 baht

Monthly Interest Paid = 64,515.48 / 12

= 5,376.29 baht

EMI =\([P x R x (1+R)^n] / [(1+R)^n-1]\)

where P = Loan Amount, R= Interest Rate per month, n= total number of payments.

EMI = \([10,625,000 x 0.006042857 x (1+0.006042857)^360] / [(1+0.006042857)^360-1]\)

EMI = 69,677.31 baht

(b) Monthly Payment of Option 2:

Loan Amount = 12.5 * (100-15)%

= 10,625,000 baht

n = 30 * 12 = 360

i = 6.75%/12 = 0.005625

Yearly Interest Paid = i * 10,625,000

= 59,765.63 baht

Monthly Interest Paid = 59,765.63 / 12

= 4,980.47 baht

Point cost = 4% of Loan Amount

= 10,625,000 x 4/100

= 425,000 baht

Loan Amount after Deducting Points = 10,625,000 - 425,000

= 10,200,000 baht

EMI = \([P x R x (1+R)^n] / [(1+R)^n-1]\)

where P = Loan Amount, R= Interest Rate per month, n= total number of payments.

EMI =\([10,200,000 x 0.005625 x (1+0.005625)^360] / [(1+0.005625)^360-1]\)

EMI = 66,128.92 baht

(c) We have to calculate the NPV of the payments to decide which option is better.

We use the formula to calculate NPV:-

NPV = - \([B + (PMT / i) * (1 - (1 + i)^-n)] / ((1 + i)^t)\)

Where B = amount borrowed, PMT = monthly payment, i = interest rate, n = total number of payments, t = year.

NPV =\(- [10625000 + (69677.31 / 0.006042857) * (1 - (1 + 0.006042857)^-360)] / ((1 + 0.006042857)^30)\)

= -9,892,571.85 baht

NPV = \(- [10200000 + (66128.92 / 0.005625) * (1 - (1 + 0.005625)^-360)] / ((1 + 0.005625)^30)\)

= -9,903,615.48 baht

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Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

i really don't have a method for this, just try a number you think is close, go up, or down depending on the number

Answer:

the correct answer is -3.7

Answer:

5/6

Step-by-step explanation:

15/18

Divide the top and bottom by 3

15/3 = 5

18/3 = 6

5/6

I have simplified:)

To simplify, you have to divide the numerator & denominator by 3

BTW,I am also an Acellus student!:)

Answer:

36

Step-by-step explanation:

The number in the first column is multiplied by 6 to get the number in the second column. 6 times 6 = 36.

I'm extremely sorry if it's wrong.

The midpoint of the line segment with endpoints (-9, -20) and (14, 12) is (2.5, -4).

The midpoint of the line segment with endpoints (-4, -2) and (2, 6) is (-1, 2).

The midpoint of this line segment with endpoints (3, 4) and (0, 2) is (5, 3).

In order to determine the midpoint of a line segment with two (2) endpoints, you should add each endpoint together and then divide by two (2):

Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]

By substituting the given points into the formula for the midpoint of a line segment, we have the following;

Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]

Midpoint = [(-9 + 14)/2, (-20 + 12)/2]

Midpoint = [(5)/2, -8/2]

Midpoint = (2.5, -4).

Based on the endpoints (-4, -2) and (2, 6), we have:

Midpoint = [(-4 + 2)/2, (-2 + 6)/2]

Midpoint = [(-2)/2, 4/2]

Midpoint = (-1, 2).

Based on the endpoints (3, 4) and (7, 2), we have:

Midpoint = [(3 + 7)/2, (4 + 2)/2]

Midpoint = [(10)/2, 6/2]

Midpoint = (5, 3).

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These lines will be parallel to the initial line and will intersect the final velocity line at the corresponding values (122 for the lower estimate and 298 for the upper estimate)

To sketch the velocity against time, you can take the following steps:

First, calculate the acceleration using the given data by using the formula;

acceleration = (final velocity - initial velocity)/time

Where; Initial velocity is the velocity before applying the brakes

Final velocity is the velocity at which the car comes to stop

Time is the time it takes to stop the car (6 seconds in this case)

Now, calculate the lower and upper estimates using the formula;

Lower estimate = initial velocity + (acceleration x time)

Upper estimate = initial velocity + (2 x acceleration x time)

Sketch the graph using the following steps;

On the vertical axis, plot the velocity of the car

On the horizontal axis, plot the time

Start from the initial velocity and draw a straight line with the calculated acceleration until the end of the time (6 seconds)This straight line will give you the final velocity (0 in this case)

Now, draw two more lines, one with the lower estimate and the other with the upper estimate

Finally, label the axes and the lines with their corresponding values.'

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Answer:

37°

Step-by-step explanation:

the rules of a bow theorem is the angles at the bottom are equal and the angles at the top are equal

The expression equivalent to (5z² + 3z + 2)² is 25x⁴ + 30z³ + 29z² + 12z + 4.

The correct answer option is option D

(5z² + 3z + 2)²

(5z² + 3z + 2) (5z² + 3z + 2)

= 25z⁴ + 15z³ + 10z² + 15z³ + 9z² + 6z + 10z² + 6z + 4

= 25x⁴ + 15z³ + 15z³ + 10z² + 9z² + 10z² + 6z + 6z + 4

= 25x⁴ + 30z³ + 29z² + 12z + 4

In conclusion, the equivalent expression is 25x⁴ + 30z³ + 29z² + 12z + 4.

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The z-score when x=108 is 3.1034. The z-score tells you that x=108 is 3.1034 standard deviations to the left of the mean.

Z-score is used in statistics to compare a score to a normal distribution. The z-score is a measure of how far away from the mean a value is in standard deviation units.

To find the z-score when x = 108, we use the formula:

z = (x - μ) / σ

where x = 108, μ = 153, and σ = 14.5.

Substituting these values, we get:

z = (108 - 153) / 14.5 = -3.1034

So the z-score when x = 108 is -3.1034.

The z-score tells us how many standard deviations away from the mean a particular value is. In this case, since the z-score is negative, we know that x = 108 is to the left of the mean.

The absolute value of the z-score tells us how many standard deviations away from the mean the value is. In this case, the absolute value of the z-score is approximately 3.1034, which means that x = 108 is approximately 3.1034 standard deviations to the left of the mean.

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Answer:

i think its 4

Step-by-step explanation:

if u have two fingers and add two more u get 4

A) Serial correlation is often present in time series data because it arises from the inherent nature of the data

B) The presence of serial correlation in the residual is a problem because it violates one of the assumptions of linear regression analysis, which is the assumption of independent and identically distributed (IID) errors.

I. Serial correlation is often present in time series data because it arises from the inherent nature of the data. Time series data refers to observations collected over time, where each observation is dependent on previous observations. This dependence can result in a pattern of correlation or relationship between consecutive data points.

One common reason for serial correlation in time series data is seasonality. Seasonality refers to the repetitive pattern or trend that occurs within a specific time period. For example, sales of ice cream may increase during the summer months and decrease during the winter months. This pattern of seasonality can create a correlation between consecutive observations within the same season.

Another reason for serial correlation is autocorrelation. Autocorrelation occurs when there is a correlation between an observation and its lagged values, meaning the previous observations. For example, if the stock price of a company is increasing over time, it is likely to exhibit positive serial correlation as each observation is influenced by the previous price.

II. The presence of serial correlation in the residual is a problem because it violates one of the assumptions of linear regression analysis, which is the assumption of independent and identically distributed (IID) errors. In linear regression, the residuals represent the unexplained variation in the dependent variable after accounting for the effects of the independent variables.

When serial correlation exists in the residuals, it means that the errors in the model are not independent and are related to each other. This violates the IID assumption and can lead to biased and inefficient estimates of the regression coefficients. In other words, the estimated coefficients may not accurately represent the true relationship between the independent and dependent variables.

Additionally, serial correlation in the residuals can affect the statistical significance of the regression model. If the residuals are serially correlated, the standard errors of the regression coefficients may be underestimated, leading to inflated t-values and p-values. As a result, variables that are actually not significant may appear to be significant in the presence of serial correlation.

To address the problem of serial correlation in the residuals, various techniques can be applied, such as transforming the data, including lagged variables in the model, or using time series analysis methods. These techniques aim to account for the dependence structure in the data and produce reliable estimates of the regression coefficients.

In summary, serial correlation is often present in time series data due to the inherent dependence between consecutive observations. However, its presence in the residuals of a regression model can be problematic as it violates the assumption of IID errors and can lead to biased estimates and incorrect statistical inferences. Proper techniques should be employed to address serial correlation and ensure the validity of the regression analysis.

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