Which could be used to solve this equation? 3 and one-fifth n = 9 Subtract 3 and one-fifth from both sides of the equation. 3 and one-fifth minus 3 and one-fifth n = 9 3 and one-fifth Add 3 and one-fifth to both sides of the equation. 9 3 and one-fifth = 12 and one-fifth.

According to the Poisson distribution formula, we find out that the probability of less than 3 occurrences for the given random variable is 0.1016.

It is given to us that -

The random variable x is the number of occurrences of an event over an interval of ten minutes

It can be assumed that the probability of an occurrence is the same in any two time periods of an equal length

The mean number of occurrences in ten minutes is 5.3

We have to find out the probability that there are less than 3 occurrences in ten minutes.

Firstly, we can determine that the given random variable x follows Poisson distribution.

This is because Poisson distribution is referred to as a discrete probability distribution which helps us to determine the probability of a certain number of events that occur within a specific time interval.

Here, we see that the random variable x provides the number of occurrences of an event with a specific time interval of ten minutes. So, x follows Poisson distribution.

We know the formula for Poisson distribution is given as -

p(x) = {[e^(-λ)] * (λ^x)}/x! ---- (1)

where,

λ = mean number of occurrences within given time interval

x = number of occurrences

From the given information, we can say that -

λ = 5.3 and x = 3

Substituting these values of λ and x in equation (1), we have

p(x) = {[e^(-λ)] * (λ^x)}/x!

\(= > p(x)=\frac{(e^{-5.3} )*(5.3^{3} )}{3!} \\= > p(x) = 0.1016\)

Thus, by applying Poisson distribution formula, we find out that the probability of less than 3 occurrences for the given random variable is 0.1016.

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The situations represented by 25/9 are "Melanie equally shares 25 meters of paper to create 9 banners" and "Joe makes 9 equal servings from a 25 ounce bag of peanuts".

Expression in mathematics is combination of variables with the use of operations and given rules. It can be in the form of equation, numbers etc.

We have the expression 25/9.

That means 25 divided in 9 equal parts.

Now the expression 1,

Melanie equally shares 25 meters of paper to create 9 banners.

We have to divide 25 meters of paper into 9 equal banners.

The above expression can be written as a mathematical term,

and that is 25/9.

Now the expression 2,

Quill gives away 9 baseball cards from a pack of 25.

In mathematical terms; 25 - 9.

Now the expression 3,

George invites 25 kids and 9 adults to his birthday party.

That means, the total 25 + 9 = 34 people

In mathematical terms : 25 + 9

Now the expression 4,

Becca creates 9 rows with 25 buttons each.

That means, each row has 25 buttons.

So the total 9 rows have 9 x 25 buttons.

In mathematical terms : 9 x 25

Now the expression 5,

Joe makes 9 equal servings from a 25 ounce bag of peanuts.

That means 25 ounce bag of peanuts equally divided into 9 parts.

In mathematical terms : 25/9

Therefore, expression 1 : Melanie equally shares 25 meters of paper to create 9 banners and expression 5: Joe makes 9 equal servings from a 25 ounce bag of peanuts, represented by 25/9.

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The value of the iterated integral /4 0 5 0 y cos(x) dy dx is 12.25sin(4). This means that the integral represents the signed volume of the region bounded by the xy-plane

To evaluate the iterated integral /4 0 5 0 y cos(x) dy dx, we first need to integrate with respect to y, treating x as a constant. The antiderivative of y with respect to y is (1/2)y^2, so we have:

∫cos(x)y dy = (1/2)cos(x)y^2

Next, we evaluate this expression at the limits of integration for y, which are 0 and 5. This gives us:

(1/2)cos(x)(5)^2 - (1/2)cos(x)(0)^2
= (1/2)cos(x)(25 - 0)
= (1/2)cos(x)(25)

Now, we need to integrate this expression with respect to x, treating (1/2)cos(x)(25) as a constant. The antiderivative of cos(x) with respect to x is sin(x), so we have:

∫(1/2)cos(x)(25) dx = (1/2)(25)sin(x)

Finally, we evaluate this expression at the limits of integration for x, which are 0 and 4. This gives us:

(1/2)(25)sin(4) - (1/2)(25)sin(0)
= (1/2)(25)sin(4)
= 12.25sin(4)

Therefore, the value of the iterated integral /4 0 5 0 y cos(x) dy dx is 12.25sin(4). This means that the integral represents the signed volume of the region bounded by the xy-plane, the curve y = 0, the curve y = 5, and the surface z = y cos(x) over the rectangular region R = [0,4] x [0,5].

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To forecast using data that has seasonality, one commonly used method is seasonal decomposition of time series (STL). This method separates the time series data into three components: trend, seasonality, and residuals. By isolating the seasonal component, you can forecast future values by extrapolating the pattern observed in previous seasons.

Another approach is the use of seasonal autoregressive integrated moving average (SARIMA) models. SARIMA models are an extension of ARIMA models that incorporate seasonal patterns. These models capture both the trend and seasonality in the data and can be used to make forecasts.

To control volatility in various time series models, a common technique is to use a volatility model, such as the generalized autoregressive conditional heteroskedasticity (GARCH) model. This model estimates the volatility of the time series by incorporating past volatility and squared residuals. By modeling and forecasting the volatility, you can better understand and manage the potential fluctuations in the time series data.

A simple moving average method is a technique used to smooth out fluctuations and identify trends in time series data. It involves calculating the average of a fixed number of data points, often referred to as the window size or period. As new data becomes available, the oldest data point in the window is dropped, and the newest data point is included in the calculation. This process is repeated for each subsequent data point. The resulting moving average values can provide insights into the overall trend of the data, helping to identify patterns or changes over time.

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Answer:

1/2

Step-by-step explanation:

When you find the sine of an angle, it is the opposite side / hypotenuse. This means that the hypotenuse of this triangle is 2 and the side opposite to 60° is √3. This means that the side adjacent to 60° is 1 (Pythagorean Theorem). When you find the cosine of an angle, it is the adjacent side / hypotenuse, which in this case will be 1 / 2. Hope this helps!

Answer:

1/2.

Step-by-step explanation:

Sine = opposite side / hypotenuse.

The side opposite 60 degrees has length√3 and the hypotenuse = 2.

By Pythagoras the side adjacent to the angle 60 = √( 2^2 - 3)

= 1 unit.

So cos 60 = adjacent / hypotenuse = 1/2.

The calculated elements in the set B is {4, 5, 6}

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

The above means that

U = {1, 2, 3, 4, 5, 6}

The numbers greater than 3 in the above set are

Elements = 4, 5 and 6

This means that the elements in the set B is {4, 5, 6}

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Answer:

The researcher is using the Experiment method

Step-by-step explanation:

Plato

Answer:

Experiment

Step-by-step explanation:

PLATO/Edmentum

I GOT IT RIGHT!!!

Based on the transformation of the given parent function f(x), the function g(x) is: C. g(x) = ∛(x) + 2

In Mathematics, the translation of a geometric figure to the right is a type of transformation which simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image while translating a geometric figure up is a type of transformation that simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.

Translating the parent function f(x) = ∛(x) two (2) units up, would produce an image of function f(x):

g(x) = f(x) + 2

g(x) = ∛(x) + 2

In this context, we can reasonably infer and logically deduce that the parent function f(x) was shifted 2 units up to produce function g(x).

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The number of possible groups or combination of three men can be formed from 10 is 120.

According to the given question.

Total number of men in a company, n = 10.

Number of men to be selected, r = 3

As we know that, What is a combination in math?

Image result for what is combination

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Therefore, the number of possible groups or combination of three men can be formed from 10

= \(^{10} C_{3}\)

= 10!/ 3!7!

= 10(9)(8)/3(2)

= 5 × 3 × 8

= 120

The number of possible groups or combination of three men can be formed from 10 is 120.

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The LS estimator of βˆ0 in a simple linear regression model is equal to the sample mean of the dependent variable, while the LS estimator of βˆ1 is equal to the sample covariance between x and y divided by the sample variance of x.

1. LS estimator of βˆ0:

In a simple linear regression model, the equation is y = β0 + ε, where y represents the dependent variable, β0 is the intercept, and ε is the error term. The LS estimator of βˆ0 is obtained by minimizing the sum of squared residuals (SSR). The SSR is defined as the sum of the squared differences between the observed values of y and the predicted values of y based on the model.

When we minimize the SSR, we differentiate it with respect to β0 and set the derivative equal to zero. This leads to the condition that the LS estimator of βˆ0 is equal to the value of β0 that minimizes the SSR. The value of β0 that minimizes the SSR is the one that makes the sum of the residuals equal to zero.

Since the residuals represent the differences between the observed values of y and the predicted values of y, the sum of the residuals can be interpreted as the sum of the deviations of the observed values from the predicted values. When the sum of the residuals is zero, it implies that the sum of the deviations is also zero.

Therefore, the LS estimator of βˆ0 is equal to the sample mean of the dependent variable, as the sample mean represents the average value of the dependent variable and minimizes the deviations from the predicted values.

2. LS estimator of βˆ1:

In a simple linear regression model, the equation is y = β0 + β1x + ε, where y represents the dependent variable, x represents the independent variable, β0 is the intercept, β1 is the slope, and ε is the error term. The LS estimator of βˆ1 is obtained by minimizing the SSR, similar to the LS estimator of βˆ0.

To derive the LS estimator of βˆ1, we differentiate the SSR with respect to β1 and set the derivative equal to zero. This leads to the condition that the LS estimator of βˆ1 is equal to the value of β1 that minimizes the SSR. The value of β1 that minimizes the SSR is the one that makes the sum of the products of the residuals and the corresponding values of x equal to zero.

The product of the residuals and the values of x represents the covariance between x and y, as it measures the joint variability between the two variables. The sum of these products being zero implies that the covariance between x and y is zero.

The sample covariance between x and y divided by the sample variance of x is an unbiased estimator of the population slope β1. Hence, the LS estimator of βˆ1 is given by the sample covariance between x and y divided by the sample variance of x.

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The inverse of the given function could be; y = √x / 7 + 8

Suppose that the given function is \(f:X\rightarrow Y\)

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

\(f^{-1}: Y \rightarrow X\)

This simply means, inverse of 'f' is undo operator, that takes back the effect of 'f'

We have been given the function as g(x)=7(x-8)² +3 for 8 ≤ x < ∝

Function that can reverse into another function is known as an inverse function or anti function to find y when x is swapped with another variable, we must first determine the inverse function.

On the other hand, the inverse function and the original function have interchangeable domains and ranges.

y = 7(x-8)²

(x-8)² = y/7

x - 8 = y / 7

x = √y / 7 + 8

Or

y = √x / 7 + 8

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Answer:

15

Step-by-step explanation:

"of" means times (×)

\(\frac{5}{8} \times\frac{24}{1}\)

Multiply across:

\(5\times 24=120\)

\(8\times 1= 8\)

\(\frac{120}{8}\)

Divide:

\(120\div8=15\)

Therefore, 15 people on the soccer ride the bus.

Answer:

intercept

16,0

0,6

Step-by-step explanation:

Answer:

Substitute 0 for the x-value in the equation and solve for y. The result is y = 6, so the y-intercept is at (0, 6). Next, substitute 0 for the y-value in the equation and solve for x. The result is x = 16, so the x-intercept is at (16, 0).

Step-by-step explanation:

I did the assignment on edge its 8 grade math

To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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John initially had Php 132 and Mary initially had Php 252 (384 - 132).

Let's start by setting up the equations to solve for this problem.

Let x be the amount of money John had initially.

Then, Mary had (384 - x) initially.

After John gave Php 36 to Mary, John had (x - 36) left and Mary had (384 - x + 36) = (420 - x).

We are told that Mary had three times as much money as John after this transaction, so we can write:

3(x - 36) = 420 - x

Simplifying this equation gives:

3x - 108 = 420 - x

4x = 528

x = 132

Therefore, John initially had Php 132 and Mary initially had Php 252 (384 - 132).

Answer: Mary had Php 252 at first.

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The calculated value of the tenth term, b₁₀ of the sequence is 78732

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

b₁ = -4

bₙ = 3bₙ₋₁

The above means that

We multiply the current term by 4 to get the next term

So, we have

b₂ = 3 * 4 = 12

b₃ = 3 * 12 = 36

b₄ = 3 * 36 = 108

b₅ = 3 * 108 = 324

b₆ = 3 * 324 = 972

b₇ = 3 * 972 = 2916

b₈ = 3 * 2916 = 8748

b₉ = 3 * 8748 = 26244

b₁₀ = 3 * 26244 = 78732

Hence, the tenth term, b₁₀ of the sequence is 78732

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We need to  know about margin of error to solve the problem. The factors that influence margin of error are confidence level and sample size.

Margin of error is a statistic expressing the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result will reflect the result of a census of the entire population. Margin of error is influenced by three factors, confidence level, sample size and population standard deviation. In absence of population standard deviation, the margin of error is influenced by confidence level and sample size.

Therefore the margin of error is influenced by confidence level and sample size.

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Answer:

slope = 4/3

Step-by-step explanation:

(-1 , 1) = (x1 , y1)

(2 , 5) = (x2 , y2)

slope (m) = y2 - y1/x2 - x1

=5 - 1/2 - (-1)

=4 /2+1

=4/3

Answer:

55,89

Step-by-step explanation:

Here we see a sequence where the pattern is achieved by adding each new term to the term before to get the next term

5+1=6

1+6=7

6+7=13 etc

So for the next two terms: 21+34=55

55+34=89

Answer:

5, 1, 6, 7, 13, 21, 34, 51, 77

Solution:

Next possible number in the given sequence I. -4,1,8 is 17

Next possible number in the given sequence II. 5,6,13 is 26

☆ The next 2 number for given series -4,5,1,6,8,13 are 17,26

☆The next 2 number for given series 5,1,6,7,13,21,34 are 51,77

Answer: a-4b

Step-by-step explanation:

Combine like terms

4a-6b-3a+2b

1a-6b+2b

a-6b+2b

a-4b

The resultant speed of the plane is approximately 742.82 km/hr, and the true course of the plane is approximately 179.55°.

To find the resultant speed and true course of the plane, we need to consider the velocity vectors of the plane and the wind.

Let's represent the velocity of the plane as vector P and the velocity of the wind as vector W.

Given:

Speed of the plane = 724 km/hr

Direction of the plane = 30°

Speed of the wind = 32 km/hr

First, we need to convert the given speeds and direction into their corresponding vector form.

The velocity vector of the plane P can be represented as:

P = 724(cosθ, sinθ)

where θ is the direction of the plane in radians. To convert the given angle from degrees to radians, we use the formula: radians = degrees * π / 180.

So, θ = 30° * π / 180 = π / 6 radians.

Substituting the values, we have:

P = 724(cos(π/6), sin(π/6))

P = 724(√3/2, 1/2)

The velocity vector of the wind W is given as:

W = 32(-1, 0) (since the wind is blowing from the west)

Now, to find the resultant velocity vector R, we add the vectors P and W:

R = P + W

R = 724(√3/2, 1/2) + 32(-1, 0)

R = (362√3 - 32, 362/2)

The magnitude of the resultant velocity vector R represents the resultant speed of the plane, and the direction of the vector represents the true course of the plane.

To find the magnitude (resultant speed) of R, we use the formula:

Magnitude of R = √(R_x^2 + R_y^2)

Substituting the values, we have:

Magnitude of R = √((362√3 - 32)^2 + (362/2)^2)

Magnitude of R ≈ 742.82 km/hr

To find the direction (true course) of R, we use the formula:

Direction of R = tan^(-1)(R_y / R_x)

Substituting the values, we have:

Direction of R = tan^(-1)((362/2) / (362√3 - 32))

Direction of R ≈ 179.55°

Therefore, the resultant speed of the plane is approximately 742.82 km/hr, and the true course of the plane is approximately 179.55°.

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The average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.

Given,

Benny's arcade has five video game machines

The average time between failures = 34 hours

The maintenance engineer can repair a machine in about = 13 hours

The failure time and repair times are both exponentially distributed

The formula for the mean of an exponential distribution is mean = 1/λ where λ is the rate parameter of the distribution.

In this problem, the rate parameter of both the failure time and repair time is the reciprocal of their respective averages. Therefore,

λ_f = 1/34λ_r = 1/13

Now, let's find the average time from when a machine breaks until it is fixed using the fact that the sum of two independent exponential distributions with rate parameters λ1 and λ2 is itself an exponential distribution with rate parameter λ1+λ2.

So, the rate parameter for the time from when a machine breaks until it is fixed is λ_f+λ_r = 1/34+1/13

= 0.0885 hours⁻¹ (approximately)

Hence, the average time from when a machine breaks until it is fixed is mean = 1/λ= 1/0.0885 ≈ 11.3 hours (approximately).

Therefore, the average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.

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Answer:

There are 4 terms

Step-by-step explanation:

“Terms are single numbers, variables, or the product of a number and variables. Examples of terms: 9 a 9a 9a. y y y.”

We can start this equation off by noticing the fact that this is a linear equation, which we can write in the form of: \(mx+b\). We can plug in our x values and y values given. I am going to start on the second line:

We plug in the given point: \((0,-3.2)\).

\(-3.2=m(0)+b\\-3.2=b\)

We can also plug in the point \((4,0)\) to get:

\(0 = m(4) -3.2\)

We get \(m = 0.8\)

Therefore, our equation for the SECOND line is:

\(y = 0.8m - 3.2\)

Hope that this helps you do the first line.

Answer:

g(x)=2\(\sqrt{x+1}\)-2

Step-by-step explanation:

if f(x)=2\(\sqrt{x}\) then g(x) shifted down 2 and left 1 would be g(x)=2\(\sqrt{x+1}\)-2

The chemicals under considerationm an important quantity is the total proportion Y1 +Y2 found in any sample.V(Y1 + Y2) = Var(Y1) + Var(Y2) + 2Cov(Y1, Y2) = 1/18 + 1/18 + 2(1/144) = 5/72.

To find E(Y1 + Y2), we first find the marginal distribution of Y1 and Y2 by integrating the joint density function over the other variable as follows:

f1(y1) = ∫f(y1,y2)dy2 = ∫2dy2 from 0 to 1-y1 = 2(1-y1) for 0 ≤ y1 ≤ 1

f2(y2) = ∫f(y1,y2)dy1 = ∫2dy1 from 0 to 1-y2 = 2(1-y2) for 0 ≤ y2 ≤ 1

Now we can find E(Y1 + Y2) as follows:

E(Y1 + Y2) = ∫∫(y1 + y2)f(y1,y2)dy1dy2

= ∫∫(y1 + y2)2dy1dy2 over the region 0 ≤ y1 ≤ 1-y2, 0 ≤ y2 ≤ 1

E(Y1 + Y2) = ∫0^1∫0^(1-y1) (y1 + y2)2dy2dy1

= ∫0^1[y1(y1/2 + 2/3) + 1/3]dy1

= 7/12

To find V(Y1 + Y2), we can use the fact that V(Y1 + Y2) = V(Y1) + V(Y2) + 2Cov(Y1, Y2), where Cov(Y1, Y2) is the covariance of Y1 and Y2. First, we need to find the variances of Y1 and Y2:

Var(Y1) = E(Y1^2) - [E(Y1)]^2 = ∫∫y1^22dy1dy2 - [∫∫y1f(y1,y2)dy1dy2]^2

= ∫0^1∫0^(1-y1) y1^22dy2dy1 - [∫0^1(2y1-2y1^2)dy1]^2

= 1/18

Var(Y2) = E(Y2^2) - [E(Y2)]^2 = ∫∫y2^22dy1dy2 - [∫∫y2f(y1,y2)dy1dy2]^2

= ∫0^1∫0^(1-y2) y2^22dy1dy2 - [∫0^1(2y2-2y2^2)dy2]^2

= 1/18

Now we need to find the covariance of Y1 and Y2:

Cov(Y1, Y2) = E(Y1Y2) - E(Y1)E(Y2) = ∫∫y1y2f(y1,y2)dy1dy2 - (∫∫y1f(y1,y2)dy1dy2)(∫∫y2f(y1,y2)dy1dy2)

= ∫0^1∫0^(1-y1) 2y1y2dy2dy1 - (7/12)(7/12)

= 1/144

Therefore, V(Y1 + Y2) = Var(Y1) + Var(Y2) + 2Cov(Y1, Y2) = 1/18 + 1/18 + 2(1/144) = 5/72.

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The scientific notation of the given numbers are:

a. 1,000,000 - 1 x \(10^{6}\)

b. .00005 - 5 x \(10^{-5}\)

c. 40 thousand- 4 x \(10^{4}\)

d. 7 trillion - 7 x \(10^{12}\)

e. 8 thousandths -   8 x \(10^{-3}\)

f. one-tenth - 1 x \(10^{-1}\)

We are given the following:

- 1,000,000

- 0.00005

-  40 thousand

-  7 trillion

-  8 thousandths

- one tenth

We will write the following above in scientific notation.

It is a form of presenting very large numbers in a simpler form.

We have to make the number in a form of multiplication of single-digit and 10 raised to a power of a positive integer.

- 1000000

In scientific notation = 1 x \(10^{6}\)

- 0.00005

In scientific notation = 5 x \(10^{-5}\)

- 40 thousand = 40,000

In scientific notation = 4 x \(10^{4}\)

- 7 trillion

= 7,000,000,000,000

In scientific notation = 7 x \(10^{12}\)

- 8 thousandths

It is in decimal place so we have 0.008.

In scientific notation =  8 x \(10^{-3}\)

-one-tenth

It means one out of 10 parts.

= 1 / 10

= 0.1

In scientific notation = 1 x \(10^{-1}\)

The scientific notation of the given numbers are:

a. 1,000,000 - 1 x \(10^{6}\)

b. .00005 - 5 x \(10^{-5}\)

c. 40 thousand- 4 x \(10^{4}\)

d. 7 trillion - 7 x \(10^{12}\)

e. 8 thousandths -   8 x \(10^{-3}\)

f. one-tenth - 1 x \(10^{-1}\)

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When two triangles are similar the corresponding sides are always in the same ratio.

If triangle MNP is similar to traingle XYZ, the lengths of MNP needs to be in the same ratio with the corresponding sides of triangle XYZ

Prove each of the given options lengths to find the one that makes the equation above be true:

Pair corresponding sides ordering its lengths from least XY to greatest YZ

First option:

As the ratios are not the same that cannot be the lengths of MNP

Second option:

As the ratios are the same that can be the lengths of MNP

Third option:

As the ratios are not the same that cannot be the lengths of MNP

Fourth option:

As the ratios are not the same that cannot be the lengths of MNP

Answer: In order to find this, we simply need to select an x and it will help us find y. Our x for this case will be 1. Now we put that into the equation and solve for the y value.

y = 4x + 9

y = 4(1) + 9

y = 4 + 9

y = 13

This gives us the ordered pair of (1, 13)

Step-by-step explanation:

Answer:

(0,9),(1,13),(2,17)

Step-by-step explanation:

i hope this is correct!! c:

The working class was unable to achieve much, despite valiant efforts, due to their lack of solidarity and the capitalist's willingness to use violence against them.The middle class responded to the struggle between labor and capital, as well as the changes that American society underwent during the late nineteenth century, by supporting a variety of social reform movements.

After the Civil War, Reconstruction failed to establish racial equality and black freedom in the United States. The rapid industrialization of the United States under the system of "free labor" in the years following the Civil War contributed to a social crisis by the end of the nineteenth century. This crisis seemed to be causing the disappearance of traditional American values of democracy, equality, and opportunity, and class conflict was threatening to tear society apart.In their struggle against each other, capitalists and working classes attempted to enhance their own power and interests. Capitalists attempted to enhance their power by instituting new labor policies, cutting wages, and lowering working conditions.

The working class was unable to achieve much, despite valiant efforts, due to their lack of solidarity and the capitalist's willingness to use violence against them.The middle class responded to the struggle between labor and capital, as well as the changes that American society underwent during the late nineteenth century, by supporting a variety of social reform movements. They sought to provide relief for the urban poor and to reform politics by promoting women's suffrage and demanding the elimination of political corruption.In conclusion, Reconstruction failed to establish racial equality and black freedom in the United States. The rapid industrialization of the United States under the system of "free labor" in the years following the Civil War contributed to a social crisis by the end of the nineteenth century. Capitalists and working classes attempted to enhance their power and interests in their struggle with each other. The working class was unable to achieve much, despite valiant efforts. The middle class responded to the struggle between labor and capital, as well as the changes that American society underwent during the late nineteenth century, by supporting a variety of social reform movements.

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