An equation of a line with a slope of - 2 and a y-intercept of 2.5 is a

Remember that the formula for the length of the arc is:

Notice that

is the formula for the circumference of the circle.

Using this and the data given, we'll have:

Or

Therefore, the correct answer is Option A

Answer:

4%

Step-by-step explanation:

As, some rate of $320 will give u 12.80

Now to find the percentage u always use this procedure :

Sales tax value = 12.80 divided by the the total cost ( $320) multipled by hundred

So 12.80/320 x 100 = 4

So 4%

This method help me alot in my solving skills

And used it everytime a question like this is given

So I hope u use it for such questions and u will get right with all hope!

Hope this helps!!

The correct answer is D. All of the above. When the spread of scores around the arithmetic mean gets smaller, it means that the data points are closer to the mean.

This has several implications:
A. The coefficient of variation (CV) gets smaller: The coefficient of variation is the ratio of the standard deviation to the mean. When the standard deviation decreases (due to smaller spread of scores), the CV also decreases.
B. The interquartile range (IQR) gets smaller: The IQR represents the range between the first quartile and the third quartile. When the spread of scores decreases, the values at the first and third quartiles are closer together, resulting in a smaller IQR.
C. The standard deviation gets smaller: The standard deviation measures the average distance of data points from the mean. As the spread of scores decreases, the data points are closer to the mean, resulting in a smaller standard deviation.
In summary, when the spread of scores around the arithmetic mean gets smaller, the coefficient of variation, interquartile range, and standard deviation all decrease.

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Answer:

The independent variable is the number of miles you walked.

Unfortunately, I do not know the dependant variable.

Step-by-step explanation:

so do it urself. :)

The Mae takes the absolute values of the forecast errors to ensure they don't cancel each other out.

By considering only the magnitude of the errors, the MAE (Mean Absolute Error) provides a measure of the average deviation between forecasts and actual values.

To ensure that forecast errors don't cancel each other out, the Mean Absolute Error (MAE) calculation involves taking the absolute values of the errors. The MAE is a commonly used metric to measure the accuracy of a forecasting model.

Forecast errors represent the differences between predicted values and actual values. These errors can be positive or negative, depending on whether the forecast overestimates or underestimates the actual value. By taking the absolute values, the direction of the error is disregarded, and only the magnitude of the deviation is considered.

By summing up the absolute values of all the forecast errors and dividing by the number of observations, the MAE provides an average measure of how far the forecasts deviate from the actual values. It allows for the evaluation of the average absolute magnitude of the errors without considering their direction.

In summary, the Mean Absolute Error (MAE) takes the absolute values of the forecast errors to ensure they don't cancel each other out. This approach allows for a measurement of the average deviation between forecasts and actual values by considering only the magnitude of the errors.

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The marginal relative frequency for the people who do not like cantaloupe is 0.455.

This refers to the addition of the joint relative frequencies in a row or column of a data table.

Hence, we would make a representation of the table from the result of the survey of 200 random people is:

                              Watermelon      Not watermelon    Total

Cantaloupe                  93                       16                         109

Not cantaloupe           66                       25                         91

Total                           159                       41                          200

So, the marginal relative frequency for the people who do not like cantaloupe is 0.455.

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Answer:

C) 91/200

Step-by-step explanation:

Answer:

It's OC

Step-by-step explanation:

Because what it's asking you is what is the distance he's running in that time.because d stands for the amount of distance covered in a second so you need to multiply the seconds against the distance that he covers in that second to get the 100 m that he runs in all

Answer:

A

Step-by-step explanation:

Because the 10 is bigger then the 4 so when you do the math (y) will equal the answer of A which its  14

Answer:

The answer is y=10+4x

Step-by-step explanation:

so because x is represented by hours you dont know how many hours someone rents the bike so x and ten dollars is a set amount so it would stand alone.

The amount originally borrowed at 14% simple interest is $4812.

Money is borrowed at 14% simple interest.

After one year, $681.72 pays off the loan.

We need to calculate the amount originally borrowed.

Formula for Simple Interest:

I = P × r × t

WhereI is the interest,P is the principal,r is the rate,t is the time.

Let's solve it.

Let the amount borrowed be P.

So the formula for Simple Interest is,I = P × r × t.

Given, I = 681.72, r = 14% = 0.14 and t = 1 yr.

Substituting the values in the formula we get,

681.72 = P × 0.14 × 1681.72 / (0.14 × 1) = P4812 = P.

Therefore, the amount originally borrowed was $4812.

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Answer:

1 pound of rice is $2.25. Counting up the graph, - 2, 4, 6, 8, 10.

Step-by-step explanation:

You didn't add the picture so this is how I explained it.

Answer:

The speed at which Carol needs to drive to meet Irvin at Bananatown at exactly the same time is approximately 47.188 miles per hour

Step-by-step explanation:

The given information are;

The location of Bananatown from Appletown = 143 miles east and 45 miles north

The location of Coconutville from Appletown = 98 miles east and 32 miles south

Taking Appletown as the origin, we have;

The slope, gradient of highway 42 = 45/143

The equation of a line representing highway 42 is given as follows;

y - 0 = 45/143 × (x - 0)

y = 45/143·x

Therefore, at Coconutville, where x = 98, we have, y = 45/143 × 98 ≈ 30.84 miles north

Total distance north Carol has to drive to get to highway 42 = 32 + 30.84 = 62.84 miles

Total distance along highway 42 Carol will drive to get to Bananatown = √((143 - 98)² + (45 - 30.84)²) ≈ 47.175 miles

Total distance Carol drives to Bananatown = 47.175 miles + 62.84 miles ≈ 110.015 miles

The total distance Irvin needs to drive to arrive at Bananatown = √(143² + 45²) ≈ 149.91

The total distance Irvin needs to drive to arrive at Bananatown ≈ 149.91  miles

The time it takes Irvin to arrive at Bananatown = (149.91 miles)/(45 mph) ≈  3.33 hours

The time he arrives at Bananatown = 8 a.m. + 3.33 hours ≈ 11.33 a.m.

The time available for Carol to meet Irvin at Bananatown at exactly the same time = 11.33 a.m. - 9 a.m. = 2.33 hours

Therefore, the speed at which Carol needs to drive = (110.015 miles)/2.33 hour ≈ 47.188 miles per hour

The speed at which Carol needs to drive to meet Irvin at Bananatown at exactly the same time ≈ 47.188 miles per hour.

In conclusion  the number of adult and child tickets sold was 68, and the number of senior tickets sold was 25. The solution tells us that 68 adult and child tickets and 25 senior tickets were sold for the movie. The total amount collected was $1270.

How to solve?

Part A:

The system of equations that represents the situation is:

a + s = 93 (total number of tickets sold)

15a + 10s = 1270 (total amount collected in dollars)

Part B:

Using the substitution method, we can solve for one variable in terms of the other in the first equation and substitute it in the second equation, then solve for the remaining variable.

From the first equation, we get:

a = 93 - s

Substituting this in the second equation, we get:

15(93-s) + 10s = 1270

Simplifying the above equation, we get:

1395 - 5s = 1270

Subtracting 1395 from both sides, we get:

-5s = -125

Dividing both sides by -5, we get:

s = 25

Substituting s=25 in the equation a + s = 93, we get:

a + 25 = 93

Subtracting 25 from both sides, we get:

a = 68

Therefore, the number of adult and child tickets sold was 68, and the number of senior tickets sold was 25.

Part C:

To check our solution, we can substitute a=68 and s=25 in both equations and verify if they are true.

a + s = 93

68 + 25 = 93 (true)

15a + 10s = 1270

15(68) + 10(25) = 1270 (true)

Part D:

The solution tells us that 68 adult and child tickets and 25 senior tickets were sold for the movie. The total amount collected was $1270.

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Value of X6 = N6 - N5. From the given realization of the Bernoulli counting process, N5 = 3 and N6 - N5 = X6. Hence, X6 = N6 - N5 = 5 - 3 = 2. The value of S is the largest value of n for which Nn = 3. From the given realization of the Bernoulli counting process, N3 = 1, N4 = 2, N5 = 3, and N6 = 5. Hence, the value of S is 5.

The value of T2 is the time at which the second success occurs. From the given realization of the Bernoulli counting process, N2 = 1. Hence, the time at which the second success occurs is T2 = 2.d) P{N2=1, Ns=3, N7-4} = P{N2=1} × P{Ns-N2=2} × P{N7-Ns=1} × P{No=4}.Using the Bernoulli counting process, the probability of a success is p = 0.2 and the probability of a failure is q = 1 - p = 0.8. Therefore, P{N2=1} = pq, P{Ns-N2=2} = p²q, P{N7-Ns=1} = pq², and P{No=4} = p³.Thus, P{N2=1, Ns=3, N7-4} = (0.2)(0.8)(0.2²)(0.8)(0.2)(0.8²)(0.2³) = 0.0016384. A Bernoulli counting process is a stochastic process that consists of a sequence of independent and identically distributed random variables, where each random variable takes the value 1 or 0 with probability p and q = 1 - p, respectively. The Bernoulli counting process is often used to model the arrival times of events that occur randomly over time. The Bernoulli counting process has many applications in areas such as reliability theory, queueing theory, and inventory management.In this question, we are given the realization of a Bernoulli counting process, and we are asked to find various quantities associated with this process. We are first asked to find the value of X6, which is the number of successes that occur between times 5 and 6. We are then asked to find the value of S, which is the largest time at which three successes have occurred. We are also asked to find the value of T2, which is the time at which the second success occurs. Finally, we are asked to find the probability of a specific sequence of events occurring, given that the success probability is p = 0.2.To find the value of X6, we simply subtract the value of N5 from the value of N6. Similarly, to find the value of S, we look for the largest time at which Nn = 3. To find the value of T2, we look for the time at which N2 = 1. Finally, to find the probability of a specific sequence of events occurring, we use the probabilities of success and failure to calculate the probability of each event occurring, and then multiply these probabilities together. Thus, we have found the value of X6, the value of S, the value of T2, and the probability of a specific sequence of events occurring.

In conclusion, the Bernoulli counting process is a powerful tool for modeling the arrival times of events that occur randomly over time. By using the probabilities of success and failure, we can calculate various quantities associated with this process, such as the value of X6, the value of S, the value of T2, and the probability of a specific sequence of events occurring. The Bernoulli counting process has many applications in areas such as reliability theory, queueing theory, and inventory management.

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The solution of the quadratic equation is x = 2. Therefore, \(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)  or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

The quadratic formula can be use to solve the quadratic equation as follows:

x² - 4x + 4 = 0

Modelling it to quadratic equation, ax² + bx + c

Hence,

using quadratic formula,

\(\frac{-b+\sqrt{b^{2}-4ac } }{2a}\) or \(\frac{-b-\sqrt{b^{2}-4ac } }{2a}\)

where

Hence,

a = 1

b = -4

c = 4

Therefore,

\(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\) or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

Finally

x = 2

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Part A

\(D(1,0) \longrightarrow D'(1-8, 0-3)=D'(-7, -3)\\\\E(7,2) \longrightarrow E'(7-8, 2-3)=E'(-1, -1)\\\\F(8,-1) \longrightarrow F'(8-8, -1-3)=F'(0, -4)\\\\G(2,-3) \longrightarrow G'(2-8, -3-3)=G'(-6, -6)\)

Part B

Reflecting over the x axis means \((x, y) \longrightarrow (x, -y)\).

\(D'(-7, -3) \longrightarrow D''(-7, 3)\\\\E'(-1, -1) \longrightarrow E''(-1, 1)\\\\F'(0, -4) \longrightarrow F''(0, 4)\\\\G'(-6, -6) \longrightarrow G''(-6, 6)\)

The given expression is equivalent to the third option -19.5b - 6.9. We get this on solving the algebraic expression.

The given expression in the question is

3(-4.5b-2.1) - (6b +0.6)

= -13.5b - 6.3 - 6b - 0.6         (multiplying 3 and -1 respectively with the elements in the bracket)

= -19.5b - 6.9

Therefore we can see that on solving the given algebraic expression we get that it is equivalent to -19.5b - 6.9

Hence the third option which is -19.5b -6.9 is the correct answer.

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The median is the middle number of the set. The middle number in this set is 12.5. Therefore, the median is 12.5.

To find the median of a set of numbers, you need to first arrange the numbers in numerical order. The numbers from the given set, arranged in numerical order, are:

1, 3, 4, 6, 8, 12, 13, 23, 25, 26

The median is the middle number of the set. The middle number in this set is 12.5. Therefore, the median is 12.5.

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The system of equations -3x + y = 4 and -9x + 5y = -1 has the solution (-3.5 , -6.5).

A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations. This is what is called as the solution.

Given two equations in x and y,

-3x + y = 4     (equation 1)

-9x + 5y = -1     (equation 2)

Rewrite equation 1 as an equation of y and substitute to equation 2.

(equation 1) -3x + y = 4     ⇒     y = 3x + 4

-9x + 5y = -1     (equation 2)

-9x + 5(3x + 4) = -1

-9x + 15x + 20 = -1

6x = -21

x = -3.5

Substitute the value of x in equation of y and solve for y.

y = 3x + 4

y = 3(-3.5) + 4

y = -6.5

Hence, the solution to the following system of equations is (-3.5 , -6.5).

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Answer:

(-3.5 , -6.5)

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

PEMDAS

Parenthesis

multiply the numbers

Divide

Add

Subtract

Answer:

   -4AB+2A2+52

Step-by-step explanation:

1. FIRST WE PUT THE LIKE TERMS TOGETHER (REARRANGE THE PROBLEM)

AB-5AB-A2+3A2+42+10

2. SIMPLIFY ALL LIKE TERMS

-4AB+2A2+52

YOUR DONE!!!!!!

HOPE I HELPED

CAN I GET BRAINLIEST PLS? (DESPERATELY TRYING TO LEVEL UP)

         -ZYLYNN JADE

Answer:

The perimeter of Elie's vegetable garden is 34 meters.

Step-by-step explanation:

The formula for area is: a=w*l.

A = area

W = width

L = length

If the length is 9 meters, then we know two of the values, the area, and the length. Substitute.

72=w*9

You can divide both sides by 9 to get the width, which is 8 meters.

To find perimeter, we add l+w+l+w, or 2l+2w. Substitute for our values:

2(9)+2(8)=34

The perimeter of Elie's vegetable garden is 34 meters.

Answer:

Step-by-step explanation:

Liam went into a movie theater and bought 9 bags of popcorn and 8 drinks costing a total of $97.50. This will be:

9p + 8d = 97.50

Jacob went into the same movie theater and bought 5 bags of popcorn and 4 drinks, costing a total of $51.50. This will be:

5p + 4d = 51.50

where P = popcorn

d = drink

The equations will be:

9p + 8d = 97.50

5p + 4d = 51.50

Multiply equation i by 5

Multiply equation ii by 9

45p + 40d = 487.50

45p + 36d = 463.50

Subtract

4d = 24

Divide.

d = 24/4

d = 6

Since 9p + 8d = 97.50

9p + 8(6) = 97.50

9p + 48 = 97.50

9p = 97.50 - 48

p = $5.50

where P = popcorn and d = drink

Answer:

The record time that was achieved in 1970 was 5.78 seconds.

Step-by-step explanation:

It is given that the first one-mile speed record was made by Henry Ford in 1904 when he drove the mile in 39.40 seconds.

It is further stated that this time was 33.62 s slower than the record achieved in 1970.

Now, let us consider the first statement;

Henry Ford covered one mile in time (1904) = 39.40 sec

Now, let us consider the second statement given;

Time taken by Henry Ford (1940) was slower than the time someone else achieved in one miles by = 33.62 sec

So, to calculate the time taken in 1970;

=> 39.40 - 33.62 sec

=> 5.78 sec

Therefore, the record time that was achieved in 1970 was 5.78 seconds.

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For a measurement of 7.84 cm, 8 digit is the estimated digit

In the decimal system, each digit in a number represents a place value based on its position relative to the decimal point.

The digit to the left of the decimal point represents the units place, and each subsequent digit to the right represents a smaller unit, such as tenths, hundredths, and so on.

The digit to the right of the decimal point that is not zero is known as the estimated digit.

In the given measurement of 7.84 cm, the digit to the left of the decimal point is 7, which represents the units place.

The digit to the right of the decimal point is 8, which represents the tenths place. Since the digit in the hundredths place is 4 and not zero, the digit in the tenths place (i.e., 8) is the estimated digit.

This means that the measurement of 7.84 cm is accurate to the nearest tenth of a centimeter, and the digit 8 is the estimated digit.

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Answer: -1.56i^ +1.07j^

Step-by-step explanation:Vector C = -1.56i^ +1.07j^

This question requires that we use the properties of the scalar product of two vectors to find the required x and y component.

The dot product of two perpendicular vectors is equal to and the product of two vectors that are not parallel is equal to a nonzero value.

These are the properties that have been used in solving this problem alongside solving the simultaneous questions generator.

Explanation:

The full solution can be found in the attachment below.

Thank you for reading and I hope this post is helpful to you.

To find the total mass of all the worker bees in the hive, you need to multiply the mass of a single worker bee by the number of worker bees in the hive.

The mass of a single worker bee is 2 x 10^-4 kilograms, and there are 8 x 10^4 worker bees in the hive.

So the total mass of all the worker bees in the hive is (2 x 10^-4 kilograms) * (8 x 10^4 worker bees) = 0.16 kilograms.

In standard form, this is written as 1.6 x 10^-1 kilograms.

Answer:

30.00+7.50h          h=per hour

Step-by-step explanation:

Answer: the answer is choice b

Step-by-step explanation:

Answer:

\( {(6g)}^{3} = 216 {g}^{3} \\ thank \: you\)