-4x-y+4 when x=-1 4 and y=3

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:

B. No, there is a clear pattern in the residual plot.

Step-by-step explanation:

The residual plot shows the differences between the observed values and the predicted values from the linear regression model. In a good model, the residuals should be randomly scattered around the horizontal line at 0, indicating that the model is capturing all the relevant information in the data.

However, in this case, we can see a clear pattern in the residual plot where the residuals are not randomly scattered around 0. Instead, there seems to be a curved pattern, where the residuals are relatively large for small and large values of x, and relatively small for intermediate values of x. This suggests that the linear model may not be the best fit for the data, and that some other type of model, such as a quadratic or cubic model, may be more appropriate. Therefore, the correct answer is B. No, there is a clear pattern in the residual plot.

Hope this helps! Sorry if it's wrong. If you need more help, ask me! :]

Answer:

g(x) = g = 3(x)

g(-10) = -30

Step-by-step explanation:

as we can see in the pattern, x times 3 is equal to g(x) -->

so we can conclude that g=3(x) which means g is 3 then multiply by x

finding g(-10) = 3(-10) => -30 and thus, we have our answers

Hope this helps ad sorry if it's a little not clear!

The exact value of sin(u-v) is -77/85. This can be answered by the concept of Trigonometry.

Given the information, we can find the exact value of sin(u-v).

We know that sin(u) = -3/5 and cos(v) = 15/17. Since 3/2 < u < 2, u is in the fourth quadrant where sin is negative, and 0 < v < π/2, v is in the first quadrant where cos is positive.

We can use the trigonometric identity for sin(u-v): sin(u-v) = sin(u)cos(v) - cos(u)sin(v).

First, we need to find cos(u) and sin(v). We can use the Pythagorean identities: sin²(u) + cos²(u) = 1 and sin²(v) + cos²(v) = 1.

For u:
sin²(u) = (-3/5)² = 9/25
cos²(u) = 1 - sin²(u) = 1 - 9/25 = 16/25
cos(u) = √(16/25) = 4/5 (cos is positive in the fourth quadrant)

For v:
cos²(v) = (15/17)² = 225/289
sin²(v) = 1 - cos²(v) = 1 - 225/289 = 64/289
sin(v) = √(64/289) = 8/17 (sin is positive in the first quadrant)

Now we can use the identity sin(u-v) = sin(u)cos(v) - cos(u)sin(v):
sin(u-v) = (-3/5)(15/17) - (4/5)(8/17) = -45/85 - 32/85 = -77/85

So, the exact value of sin(u-v) is -77/85.

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Answer:

30cm

Step-by-step explanation:

Because of the polygon similarity postulate (PSP) 8/12=20/x

8/12=20/x

20/(8/12)=x

20*12/8=x

x=30 cm

The length of side x is 30 cm when the shapes below are mathematically similar.

To calculate the length of side x, we can use the concept of similarity between the shapes. When two shapes are mathematically similar, their corresponding sides are proportional.

8 cm corresponds to 20 cm

12 cm corresponds to x (unknown)

Using the concept of proportionality, we can set up the following equation:

(8 cm) / (20 cm) = (12 cm) / (x)

To find x, we can solve this equation:

Cross-multiplying:

8 cm * x = 20 cm * 12 cm

Simplifying:

8x = 240 cm²

Dividing both sides by 8 to isolate x:

x = 240 cm²/ 8

x = 30 cm

Therefore, the length of side x is 30 cm.

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Answer:

3 - 2x, see below

Step-by-step explanation:

Three minus the product of two and a number x

Bolded words are important:

3 - (2 * x)

or

3 - 2x

apple cider

blanket

job

cell phone

job

fun

pool party

birthday party

McDonald's

cook out

N/A

From the given exponential function, we have that:

An increasing exponential function is modeled by:

\(A(t) = A(0)(1 + r)^t\)

In which:

In this problem, the function is:

\(H(t) = 175(1.028)^t\)

When t = 5, we have that:

\(H(5) = 175(1.028)^5 = 201\)

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Answer:

21

Step-by-step explanation:

Answer: LCM(3,21) = 21

Step-by-step explanation:  Least common multiple or lowest common denominator can be calculated in two ways, with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Histograms are an effective way to display data graphically. They are used to show how often certain values or ranges of values appear in a data set. Visual interpretation of histograms has many strengths and limitations. Some of the strengths of visually interpreting histograms are that they are easy to read and understand, they provide a clear picture of how the data is distributed, and they can help identify outliers or gaps in the data. However, some of the limitations of visually interpreting histograms are that they can be influenced by the number of bins chosen, the way the data is grouped, and the choice of the scale used. Therefore, it is important to carefully consider these factors when interpreting a histogram. In conclusion, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

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Step-by-step explanation:

2x⁴ = 9x²

2x⁴ - 9x² = 0

x²(2x² - 9) = 0

Either x² = 0 or 2x² - 9 = 0.

When x² = 0, x = 0.

When 2x² - 9 = 0, x² = 9/2, x = ± 3/√2.

Hence the solutions are

x = 0, x = 3/√2 and x = -3/√2.

Answer:

A??

Step-by-step explanation:

Its none of the graphs I am seeing which I can only see B C D so I don't know what graph A is, so I am going to say graph A

Answer:

80g

Step-by-step explanation:

Answer:

80g

Step-by-step explanation:

80g

Answer:

x=10-y

Step-by-step explanation:

Answer: Yes this is a right triangle

We can determine this by using the converse of the pythagorean theorem.

a = 5, b = 12, c = 13

\(a^2 + b^2 = c^2\\\\5^2 + 12^2 = 13^2\\\\25 + 144 = 169\\\\169 = 169 \ \ \checkmark\\\\\)

Since those a,b,c values work in the pythagorean theorem, this proves we have a right triangle.

Answer:

"Consecutive y-values change by multiplying previous value by a constant amount. So, the table represents an exponential function."

Step-by-step explanation:

In reality, the table represents an exponential function instead of a linear function, since values on domain change arithmetically at constant rate, whereas values on range change geometrically at constant rate.

Correct phrase may be: "Consecutive y-values change by multiplying previous value by a constant amount. So, the table represents an exponential function."

Answer:

y = -2/3x -5

Step-by-step explanation:

First, let's fill in our equation of y = mx + b

(6, -9) is the coordinate we will be subsituting

If the equation that s to the one we are solving we must turn its slope into it's negative reciprocal, which would go from 3/2 to -2/3

Now let's substitute and solve

y = mx + b

(-9) = -2/3(6) + b

-9 = -4 +b

+4   +4

-5 = b

Now we create the equation

y = -2/3x -5

Fat contributes 90 kilocalories to the total energy value of the candy bar.

To calculate the number of kilocalories contributed by fat, we need to use the fact that each gram of fat provides 9 kilocalories of energy. Therefore, for the 10 grams of fat in the candy bar, we can calculate the energy contribution as follows:

Energy from fat = (10 g) x (9 kcal/g) = 90 kcal

The carbohydrate and protein content of the candy bar are not relevant to this calculation. Therefore, the total energy value of the candy bar can be determined by simply adding the energy contribution from fat to the energy contributions from carbohydrate and protein.

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The t-value is often used instead of the z-value in statistical tests because the assumptions of the z-value are violated when the sample size is 30 or less.

The t-value is preferred over the z-value in certain scenarios due to the violation of assumptions associated with the z-value when the sample size is small (30 or less). The z-value assumes that the population standard deviation is known, which is often not the case in practice. In situations where the population standard deviation is unknown, the t-value is used because it relies on the sample standard deviation instead. By using the t-value, we account for the uncertainty associated with estimating the population standard deviation from the sample.

Additionally, the t-value is easier to calculate and interpret compared to the z-value. The t-distribution has a wider range of degrees of freedom, allowing for more flexibility in analyzing data. Moreover, the t-value is more widely known among statisticians and is readily available in statistical software packages, making it a convenient choice for conducting hypothesis tests and confidence intervals.

Overall, the t-value is preferred over the z-value when the assumptions of the z-value are violated or when the population standard deviation is unknown.

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The given statement "a model y = β0 β1x ε, in which y is a binary variable, is called a linear probability model." is False because it is called dichotomous response model

A model in which y is a binary variable, taking on values of 0 or 1, is called a binary or dichotomous response model. The model equation for this type of model is:

y = 1 if p ≥ 0.5

y = 0 if p < 0.5

where p is the probability of y = 1 given the values of the predictors.

The model equation for a linear probability model is:

y = β0 + β1x + ε

where y is a continuous variable bounded between 0 and 1, and β0 and β1 represent the intercept and slope coefficients, respectively. The error term ε is assumed to be normally distributed with mean zero and constant variance.

Linear probability models have some drawbacks, including the possibility of predicting probabilities outside the range of 0 and 1 and violating the assumption of constant variance in the error term. As such, alternative models such as logistic regression are often preferred for binary response data.

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Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \(\frac{3}{4}\) x + 3 ← is in slope- intercept form

with slope m = - \(\frac{3}{4}\)

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{3}{4} }\) = \(\frac{4}{3}\) , then

y = \(\frac{4}{3}\) x + c ← is the partial equation

To find c substitute (3, 7 ) into the partial equation

7 = 4 + c ⇒ c = 7 - 4 = 3

y = \(\frac{4}{3}\) x + 3 ← in slope- intercept form

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Here m = \(\frac{4}{3}\) and (a, b ) = (3, 7 ) , then

y - 7 = \(\frac{4}{3}\) (x - 3) ← in point- slope form

The triangle that has the maximum area among the given options of isosceles triangle, right-angle triangle, equilateral triangle, and none of these, is the equilateral triangle.

An equilateral triangle has all three sides equal in length and all three angles equal to 60 degrees.

For a given perimeter, the equilateral triangle will have the maximum area compared to other types of triangles. This is due to the fact that among all triangles with a fixed perimeter, the equilateral triangle has the largest area.

The isosceles triangle has two sides of equal length, but the third side can vary. The right-angle triangle has one angle of 90 degrees, and the remaining two angles can vary. Both of these types of triangles may have smaller areas compared to an equilateral triangle with the same perimeter.

Therefore, among the options provided, the equilateral triangle will have the maximum area for a given perimeter.

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Answer:

Answer:

= (y-1) (xy-z)

Step-by-step explanation:

First we expand them -

= xy^2 - xy - yz - z

= xy(y-1)-z(y-1)

= (y-1) (xy-z)

Hope this helped

Answer:

h=15

Step-by-step explanation:

12h=180

   h=180÷12

     =15

3x - 8y = 19

3x + 5y = -46

As you can see in the image below the solution of the system of equations is (-7,-5).

The ordered sequence of motor development in Miguel, where he rolled over at 3 months, crawled at 6 months, and walked at 12 months, was largely due to the normal progression of motor skills in infants.

The ordered sequence of motor development observed in Miguel aligns with the typical progression of motor skills in infants. It is a natural and expected pattern that most children go through as they grow and develop.

At around 3 months, infants typically gain enough muscle strength and control to roll over. This milestone is a result of their growing ability to lift their head and engage their core muscles.

Around 6 months, babies often develop the strength and coordination necessary to crawl. As their muscles become more developed, they can push up with their arms and move their legs in a coordinated manner.

By 12 months, many infants are able to walk independently. This milestone is the culmination of various factors, including increased leg strength, balance, coordination, and the ability to bear weight on their legs.

The ordered sequence of motor development observed in Miguel is largely a reflection of the natural progression of motor skills in infants, as their muscles and coordination abilities mature over time.

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If a researcher is interested in testing more than one independent variable within a single experiment, the most appropriate type of design is a factorial design.

A factorial design allows researchers to investigate the main effects of each independent variable and also the interaction effects between them.

In a factorial design, each level of one independent variable is combined with each level of the other independent variable.

Creating a matrix of all possible combinations of the levels of the variables.

For example, if a researcher is interested in investigating the effects of two independent variables, A and B, each with two levels.

Low and high, a 2 x 2 factorial design would be appropriate.

This would involve randomly assigning participants to one of four conditions.

Representing the four possible combinations of the levels of the two independent variables,

low A/low B, low A/high B, high A/low B, and high A/high B.

Using a factorial design enables researchers to examine not only the effects of each independent variable on the dependent variable.

But also any potential interactions between the variables.

This approach can provide more detailed and nuanced insights into the factors that affect the dependent variable.

However, it's important to consider the increased complexity of data analysis and interpretation when using a factorial design.

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Answer: 86

Step-by-step explanation:

There's a seven digit difference between each number so if you continue adding 7 you'll get 86. -12, -5, 2, 9, 16, 23, 30, 37, 44, 51, 58, 65, 72, 79, 86

Intervention is most likely to be included in the secondary and tertiary levels of prevention.

In the context of public health and healthcare, prevention is typically categorized into three levels: primary, secondary, and tertiary.

The primary level of prevention focuses on preventing the onset of diseases or health conditions before they occur. This is achieved through measures such as promoting healthy lifestyles, providing vaccinations, and implementing public health education campaigns. Intervention is less common at this level, as the main goal is to prevent the occurrence of the health issue in the first place.

The secondary level of prevention involves early detection and intervention to prevent the progression of a disease or health condition. This may include screenings, diagnostic tests, and prompt treatment. Intervention plays a crucial role at this level, as the focus is on identifying and addressing health issues at an early stage to minimize their impact.

The tertiary level of prevention aims to minimize the impact of an existing disease or health condition and prevent complications or further deterioration. Intervention is also prominent at this level, as it involves providing medical treatments, rehabilitation services, and ongoing care to manage the condition and improve quality of life.

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