In year one, a company earned $3,000 in profits; in year two they earned $9,000 in profits. In year 3 they earned $27,000 in profits and in year 4 they earned $81,000.

Answer:

(-3, -5)

General Formulas and Concepts:

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate

y₁ - y coordinate

m - slope

Step-by-step explanation:

Step 1: Define function

y + 3 = 1/2(x + 5)

Step 2: Break apart function

Point (-3, -5)

Slope m = 1/2

(a) True. The parameters in a linear probability model can be interpreted as measuring the change in the probability that y = 1 due to a one-unit increase in an explanatory variable.

In a linear probability model, the dependent variable (y) takes on binary values, typically 0 or 1, representing two possible outcomes.

The linear probability model assumes a linear relationship between the explanatory variables and the probability of the dependent variable being equal to 1.

The parameters in the linear probability model represent the effects of the explanatory variables on the probability of y being equal to 1.

Specifically, the coefficient associated with an explanatory variable can be interpreted as the change in the probability that y = 1 for a one-unit increase in that variable, holding other variables constant.

For example, if we have a linear probability model with an explanatory variable X and the corresponding coefficient is β, then a one-unit increase in X would lead to a β increase in the probability that y = 1, all else being equal.

However, it's important to note that the linear probability model has certain limitations.

Since probabilities are bounded between 0 and 1, the predicted probabilities from the model may exceed this range.

Additionally, the model assumes constant effects across all levels of the explanatory variables, which may not always hold true in practice.

Despite these limitations, the interpretation of the parameters in a linear probability model as the change in the probability of y = 1 due to a one-unit increase in an explanatory variable is generally valid.

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Answer:

89

Step-by-step explanation: for the adtion it is 89     for the gcf is 3

The cost of one computer is £600 and the cost of one printer is £800.

Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.

Let the cost of a computer be x and the cost of a printer be y.

Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)

4x + 5y = 6000 ---------------------- (2)

Solving equations (1) and (2) simultaneously:x = 600y = 800

Therefore, the cost of a computer is £600 and the cost of a printer is £800..

:Therefore, the cost of one computer is £600 and the cost of one printer is £800.

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Answer:

\(34.5575191895\)

Step-by-step explanation:

\(2\pi r(180/360)\\2\pi *11*1/2\\=11\pi\)

The arc length of the semicircle is half the circumference i.e., 11π.

The circumference is the perimeter of a circle.

Formula of Circumference = 2πr.

= Arc length of a semicircle  

= half of the circle's circumference

= 2πr/2

= πr

=11r

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The mean is 8, and the standard deviation is approximately 1.15. The total area under the distribution is 1. The probability of selecting a value more than 7 is approximately 0.75, and the probability of selecting a value between 7 and 9 is 0.5.

In a uniform distribution over the interval from 6 to 10, the values for a and b correspond to the lower and upper bounds of the interval, respectively. Therefore, a = 6 and b = 10.  The mean of a uniform distribution is calculated as the average of the lower and upper bounds, which in this case are 6 and 10. Thus, the mean is (6 + 10) / 2 = 8. The standard deviation of a uniform distribution can be calculated using the formula: standard deviation = (b - a) / √12

Substituting the values, we get:

standard deviation = (10 - 6) / √12 ≈ 1.15 (rounded to 2 decimal places).

The total area under a probability distribution is always equal to 1.00, indicating the probability of selecting any value within the distribution. To find the probability of a value more than 7 in a uniform distribution over the interval from 6 to 10, we need to calculate the proportion of the interval beyond 7. Since the distribution is uniform, the probability is equal to the length of the interval beyond 7 divided by the total length of the interval: Probability = (10 - 7) / (10 - 6) = 3 / 4 ≈ 0.75 (rounded to 2 decimal places).

To find the probability of a value between 7 and 9 in a uniform distribution over the interval from 6 to 10, we calculate the proportion of the interval between 7 and 9 relative to the total length of the interval: Probability = (9 - 7) / (10 - 6) = 2 / 4 = 0.5 (rounded to 1 decimal place).

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Answer:

f

Step-by-step explanation:

The proof to show that a(bc) is equal to (ab)c and therefore, matrix multiplication is associative is given below.

In order to show that matrix multiplication is associative, we need to demonstrate that the order of multiplication does not matter, i.e., that a(bc) is equal to (ab)c.

First, let's compute a(bc):

a(bc) = a(bp)k(cp)n

= (ab)pk(cp)n

= (ab)c

This shows that a(bc) is equal to (ab)c. Therefore, matrix multiplication is associative.

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The solution of the system of equations f(x) = 2^x + 1 and g(x) = 3^x is x = 1

From the question, we have the following parameters that can be used in our computation:

f(x) = 2^x + 1

g(x) = 3^x

The above expression is a system of exponential equations

We are required to solve by graph

That implies that we graph the equations in the system on the same plane and write out ordered pairs from the point of intersection of the equations in the system

Next, we plot the graph

See attachment for the graph of the equations

The ordered pairs of the intersection point is (1, 3)

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Answer:

10(3^(5-n))

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

For this, we cross multiply and divide

so it becomes:

2 x 15 = 10x

30 = 10x

Then divide both sides by 10 to isolate x

x = 3

Answer:

  (a)  1

  (b)  1 3/4

  (c)  [-2, 4]

  (d)  [-1/4, 2]

Step-by-step explanation:

Apparently, the vertex of the graph is (1, 2) and it goes through points (-1, 1) and (3, 1). In vertex form, the equation for this is ...

  y = a(x -1)^2 +2

We can find the value of 'a' from the point (3, 1):

  1 = a(3 -1)^2 +2 = 4a +2 . . . . substitute for x and y, and simplify

  -1 = 4a . . . . . . . subtract 2

  -1/4 = a . . . . . . divide by 4

So, ...

  f(x) = -1/4(x -1)^2 +2

__

Above, we assumed point (-1, 1) was on the graph:

  f(-1) = 1

__

Using the equation we found, ...

  f(2) = -1/4(2 -1)^2 +2 = -1/4 +2

  f(2) = 1 3/4

__

The domain is the horizontal extent of the graph, apparently from x = -2 to x = 4.

  domain: [-2, 4] or -2 ≤ x ≤ 4

__

The range is the vertical extent of the graph. The minimum can be found at the end of the domain:

  f(4) = -1/4(4 -1)^2 +2 = -9/4 +2 = -1/4

The maximum has already been established as the vertex at y=2.

  range: [-1/4, 2] or -1/4 ≤ y ≤ 2

The type of sampling used in this scenario is B. Stratified sampling. Stratified sampling involves dividing the population into distinct subgroups or strata and then selecting samples from each subgroup.

In this case, Miranda divides her day into three parts: morning, afternoon, and evening. Each part of the day represents a stratum or subgroup.  Miranda measures her breathing rate at 4 randomly selected times during each part of the day. This means she is taking samples from each of the three strata (morning, afternoon, and evening) and collecting data from within those subgroups.

By using stratified sampling, Miranda ensures that her samples represent the different parts of her day in a proportional and systematic manner, allowing her to capture potential variations in her breathing rate throughout the day.

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Step-by-step explanation:

If those are the roots to a quadratic , then the quadratic is

(x - 20/8 + i sqrt(1008)/8 ) (x-20/8+ i sqrt (1008)/8)

 It is a bit messy to do this by hand....but the reduced quadratic is:

=     x^2 -5x+22

The y-intercept of Josh's car trip is 160.

The slope of Josh's car trip is 40.

The y-intercept of the equation y = 1/3(x) + 6 is 6.

The slope of the equation y = 1/3(x) + 6 is 1/3.

The y-intercept of the table of value is 600.

The slope of the table of value is 50.

The y-intercept of the equation y - 3x = 2 is equal to 2.

The slope of the equation y - 3x = 2 is equal to 3.

Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (160 - 0)/(4 - 0)

Slope (m) = 40.

For the table, we have:

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (650 - 600)/(1 - 0)

Slope (m) = 50.

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Answer:

C

Step-by-step explanation:

1/18 x³y + 7/18 xy²

1/18 xy (x² + 7y)

Answer:

Brock is 6 miles from home

Step-by-step explanation:

The correct answer is "D. None of the above".

Explanation:

A. If f is constant, then g is also constant:

This statement is not necessarily true. If f is constant, it means that every element in the domain maps to the same element in the codomain. However, the function \(g = f^{(-1)}\) may not be constant. It depends on the specific values and mapping of f.

B. If f is strictly increasing, then g is strictly decreasing:

This statement is not necessarily true. If f is strictly increasing, it means that as the input values increase, the corresponding output values also increase. However, the function \(g = f^{(-1)}\) may not be strictly decreasing. Again, it depends on the specific values and mapping of f.

C. If f is strictly increasing, then g is also strictly increasing:

This statement is not necessarily true either. While it is true that if f is strictly increasing, then \(g = f^{(-1)}\) is also increasing, it may not be strictly increasing. In some cases, g may have intervals of constant values.

Therefore, none of the statements are always true for a bijective function f.

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The account balance at the end of the month is $62.47

A bank statement is an official summary of financial transactions occurring within a given period for each bank account held by a person or business with a financial institution

The total deposits in the account is

$107.51, $102.07 = $209.58

Total withdrawals in the account is:

−$99.71, -−$17.66, $110.57=$227.94

To get the account balance at the month end:

Add the opening balance with the total deposits and substract the withdrawals from it

($80.83+$209.58) - $227.94

$290.41 - $227.94

=$62.47

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To rewrite the equation using the same base, we can convert both sides to a common base, such as 2 or 16. Let's rewrite the equation using base 2.

16^(2x) = 32^(x+3)

Rewritten using base 2:

(2^4)^(2x) = (2^5)^(x+3)

Simplifying the exponents:

2^(8x) = 2^(5x+15)

Since the bases are equal, the exponents must also be equal:

8x = 5x + 15

(b) To solve for x, we can isolate the variable by subtracting 5x from both sides:

8x - 5x = 15

Combining like terms:

3x = 15

Dividing both sides by 3:

x = 5

Therefore, the solution to the equation is x = 5.

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the height is 3.5m nearest tenth of a meter, corresponding to the 3.4-m base.

We know that the area of a parallelogram is given by A = base x height. Since the given parallelogram has two bases with different lengths, we will need to find the length of the other height to be able to calculate the area of the parallelogram.

Using the given measurements, let's call the 17.3m base as "b1" and its corresponding height as "h1", and call the 43.4m base as "b2" and its corresponding height as "h2".

From the given problem, we are given:

b1 = 17.3mh1 = 8.7m andb2 = 43.4m

Now, let's solve for h2:

Since the area of the parallelogram is the same regardless of which base we use, we can say that

A = b1*h1 = b2*h2  Substituting the given values, we have:

17.3m x 8.7m = 43.4m x h2  

Simplifying: 150.51 sq m = 43.4m x h2h2 = 150.51 sq m / 43.4mh2 = 3.46636...

The height corresponding to the 43.4m base is 3.5m (rounded to the nearest tenth of a meter).Therefore, the height corresponding to the 43.4-m base is 3.5 meters.

Here, we are given that the parallelogram has sides of 17.3m and 43.4m, and its corresponding height is 8.7m. We are asked to find the length of the height corresponding to the 43.4m base.

Since the area of a parallelogram is given by A = base x height, we can use this formula to solve for the length of the other height of the parallelogram. We can call the 17.3m base as "b1" and its corresponding height as "h1", and call the 43.4m base as "b2" and its corresponding height as "h2".

Using the formula A = b1*h1 = b2*h2, we can find h2 by substituting the values we have been given.

Solving for h2, we get 3.46636.

Rounding to the nearest tenth of a meter, we get that the length of the height corresponding to the 43.4m base is 3.5m. Therefore, the answer is 3.5m.

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A root of a transformed equation that is not the root of the original equation because it was excluded from the original equation's domain is known as an extraneous solution.

What are extraneous solutions?

A "false" solution to an equation is known as an extraneous solution. Even if we appeared to follow sound procedures when solving the equation, an extraneous solution did not fulfill the original equation.

So,

When we solve an equation, an extraneous solution is a result that does not fulfill the equation. As an illustration, if we square both sides of the equation x = -1, we obtain the value x = 1, which does not satisfy the original equation, indicating that x = 1 is an extraneous solution.

when we wanted to solve the equation √x = -1.  After squaring both sides, we get a value of x = 1.

When we substitute x = 1 into the original equation, we get:

x = -1  [original equation]

√1 = -1  [substitute x = 1]

1 = -1  [this is not true]

Hence,

This equation is called an extraneous solution.

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Answer:

the first one

Step-by-step explanation:

because you would use Pythagorean theorem to find a missing side

the equation would be a^2+b^2= C^2

and ya

Answer:

y = - \(\frac{1}{2}\) x + 3

Step-by-step explanation:

y = mx + b

m = \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\) and "b" is y-intercept with coordinates (0, b)

(0, 3) ⇒ b = 3

(4, 1), (6, 0)

m = \(\frac{0-1}{6-4}\) = - \(\frac{1}{2}\)

y = - \(\frac{1}{2}\) x + 3

The length of side NO is approximately 66.9  units.

Given

See attachment for quadrilaterals IJKL and MNOP

We have to determine the length of NO.

From the attachment, we have:

KL = 9

JK = 14

OP = 43

To do this, we make use of the following equivalent ratios:

JK: KL = NO: OP

Substitute values for JK, KL and OP

14:9 =  NO: 43

Express as fraction,

14/9 = NO/43

Multiply both sides by 43

43 x 14/9 = (NO/43) x 43

43 x 14/9 = NO

(43 x 14)/9 = NO

602/9 = NO

66.8889 =  NO

Hence,

NO ≈ 66.9   units.

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The complete question is:

Answer:

lyke, a place, or...?

Step-by-step explanation:

its hawaii?

Answer:

thx for the free points!

Stay safe! <3

Sorry i think like that the answer n sorry my write bad.

Thaks for your poin

The system has a unique solution because the values of X1, X2 and X3 are known and unique on each pivot.

Let's assume that we have a matrix of order 3x3 and in each column, there is a pivot variable.

A pivot is a leading coefficient in a  row of a matrix.  In reduced row-echelon form, a pivot is positioned to where the (1) value is located in a reduced matrix.

If the system or the three equations have a pivot in each column of the matrix, then we conclude that there are unique values of X1, X2 and X3 and they are known and unique.

Also note that there is a unique intersection point from these equations on a cartesian plane, and therefore the variables are unique.

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To compute the trimmed mean for the given data, we need to first delete the smallest and largest observed values, which are 0.76 and 0.96 respectively. Then we calculate the mean of the remaining 28 values.

The trimmed data set after deleting the smallest and largest values is:

0.81 0.88 0.82 0.90 0.84 0.84 0.91 0.94 0.86 0.86 0.88 0.87 0.89 0.91 0.86 0.87 0.88 0.83 0.91 0.91 0.86 0.89 0.84 0.88 0.88 0.89 0.83 0.90 0.88 0.92 0.85 0.84 0.86

The sum of these values is 24.39, and the trimmed mean is 24.39/28 = 0.871 (rounded to three decimal places).

The trimmed mean is considered to be a resistant measure of central tendency because it is less affected by extreme values compared to the mean. In this case, even though we deleted the smallest and largest values, the resulting trimmed mean is very close to the mean of the original data set (which is 0.8716). Therefore, the trimmed mean is resistant to changes in extreme values in the given data.

The answer is (b) yes, because changing the extreme values does not change the trimmed mean.

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