Write the equation of the line through the points (-6, -19) and (2,5).

Answer:

(6x+7)(6x-7)

Step-by-step explanation:

This is an example of "Difference Of Squares".

Answer:

(6x - 7)(6x + 7).

The difference of 2 squares.

Step-by-step explanation:

Note that 36x^2 and 49 are perfect squares.

36x^2 - 49

= (6x - 7)(6x + 7).

Answer:

844,000

Step-by-step explanation:

9514 1404 393

Answer:

  7.6

Step-by-step explanation:

The equation is written in the form ...

  y = kx . . . . . k is the constant of proportionality

where k = 7.6.

The constant of proportionality is 7.6.

Answer:

$5193.77

Step-by-step explanation:

You want to figure out what x is.

Since x is the number of years after 1996, you can do 2005 - 1996 = 9 years.

Then, plug x = 9 into the equation:

y = 11,000(0.92)^9

Plug this into a calculator and you get: y = $5193.77

Named constants are used rather than numbers for token codes because they make the code more readable and easier to understand.

Constants are also used to avoid any errors that may occur if a number is mistyped. By using named constants, it is easier to update the value of the constant if it needs to be changed in the future. Additionally, using named constants can help prevent mistakes, such as accidentally using the wrong number in a calculation. Overall, named constants provide a more organized and efficient way of coding.

For example, consider the following code:

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True. If you have the data for the entire population of interest, you are most likely going to engage in descriptive statistics.

Descriptive statistics is the branch of statistics that deals with the analysis and interpretation of data that is collected from a sample or population. It is concerned with summarizing and describing the features of a dataset, such as its central tendency, variability, and distribution. Descriptive statistics is used to analyze data when the entire population is not known, and a sample is taken from the population instead. In such cases, inferential statistics is used to make inferences about the population based on the sample data.

However, if the data for the entire population of interest is available, then there is no need to infer or make any assumptions about the population based on the sample. Instead, the focus is on summarizing and describing the features of the population itself, which is the main objective of descriptive statistics. Examples of descriptive statistics include measures of central tendency (such as mean, median, and mode), measures of variability (such as range, standard deviation, and variance), and graphical displays (such as histograms, box plots, and scatterplots).

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Answer:

Could you write the problem right? I don't get it tell me when it right and i can factor it.

Step-by-step explanation:

Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

To decrease the width of the confidence interval, the researcher can take the following steps:

1. Decrease the confidence level: The confidence interval width is inversely proportional to the confidence level. By decreasing the confidence level, the researcher can have a narrower interval. However, it is important to note that decreasing the confidence level also increases the chance of the interval not capturing the true population mean.

2. Increase the sample size: The sample size affects the precision of the estimate. Increasing the sample size reduces the standard error, which leads to a narrower confidence interval. This is because a larger sample provides more information about the population.

Therefore, the researcher can decrease the width of the confidence interval by either decreasing the confidence level or increasing the sample size. Both approaches will result in a narrower interval, providing a more precise estimate of the mean fat content of hen's eggs.

The researcher can decrease the width of the confidence interval by either decreasing the confidence level or increasing the sample size. Both approaches will result in a more precise estimate of the mean fat content of hen's eggs.

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Answer:

The answer is Sometimes.

Answer:

12

Step-by-step explanation:

A : B

1 : 3

Since we know that B is 3 times of A and A is 4...

1 unit = 4

3 units = 4 x 3 = 12

Answer:

Answer is - 9 + 12 because they have different signs in front of each integer. (if that is what the question means)

Step-by-step explanation:

Negative sign x negative sign = positive sign

-9 - (-12) = -9 + 12

-9 - 12

-12 - 9 = -9 - 12

12 - (-9) = 12 + 9 = 9 + 12

Answer:

last option is correct

Step-by-step explanation:

A step that could be used to find the solution is substitution.

We can directly substitute for c in equation F

Since c= 2d + 1 from equation E, we can substitute directly in equation F and we will have 2d + 1 = 3d + 7

Answer:

Step-by-step explanation:

When we transpose - 4x to the LHS then it becomes positive i.e +4x

Now we transpose 28 to the RHS then it becomes negative i.e - 28

So the first step you have to is,

4x = - 12 - 28

As Marilyn wants to use a non-price competitive marketing strategy to gain more customers, the strategy that she might use is offering a promotion.

In marketing, the non-price competition refers to a marketing strategy in which a firm tries to distinguish its product or service from competing products on the basis of attributes like design and workmanship.

This competition most often occurs in an imperfectly competitive markets because it exists between producers that sell goods and services at same prices but competes to increase their respective market shares through different non-price measures such as marketing schemes and greater quality.

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The impact of different fertilizers on crop which yields six different fertilizers have been applied to one field. here, the number of treatments in the test are 6.

Treatments are the numerous values of the factor.

The factor here is the effect of various fertilizers on crop yields.

Six different fertilizers were used.

As a result, the number of treatments equals the number of different fertilizers used = 6.

Fertilizers supply essential nutrients such as nitrogen to crops, allowing them to grow larger, faster, and produce more food. However, overfertilization can be a problem because it causes greenhouse gas emissions and eutrophication.

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A learning theory would be most likely to emphasize the role of Classical conditioning in the onset of anxiety disorders.

Classical Conditioning:

Classical conditioning is a type of learning that occurs unconsciously.

In classical conditioned learning, automatically conditioned responses are paired with specific stimuli. This creates behavior.

Preconditioning:

At this stage, an unconditioned stimulus (UCS) produces an unconditioned response (UCR) in vivo. Basically, this means that the stimulus in the environment evoked an unlearned (i.e. unconditioned) behavior/response, and thus an untaught natural response. No new behavior has been learned in this regard.

For classical conditioning to be effective, the conditioned stimulus must occur before the unconditioned stimulus, rather than after or at the same time as the unconditioned stimulus. Thus, conditioned stimuli act as a kind of signal or cue for unconditioned stimulus.

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Answer:

  38,200,000

Step-by-step explanation:

Put the 3 in the 8th spot to the left of the decimal point and fill in the other digits to the right of it.

  38,200,000

__

The first spot immediately to the left of the decimal point has a place value of 10^0, so the location with a place value of 10^7 is the 8th spot left of the decimal point. You should be able to get the idea from the attached.

__

If you put your calculator in the appropriate display mode, it should show you the number in this form.

The 99% confidence interval for the population mean can be calculated using the formula:

Confidence Interval = Sample mean ± (Critical value) * (Standard error)

where the critical value is obtained from the t-distribution based on the desired confidence level and the degrees of freedom (n-1), and the standard error is calculated as the square root of the population variance divided by the square root of the sample size.

Given:

Sample mean = 12.5

Population variance (σ²) = 2.4

Sample size (n) = 25

Step 1: Calculate the standard error (SE).

SE = √(σ²/n) = √(2.4/25) ≈ 0.275

Step 2: Determine the critical value based on a 99% confidence level and (n-1) degrees of freedom.

For a sample size of 25, the degrees of freedom is (25-1) = 24. Looking up the critical value in the t-distribution table for a 99% confidence level and 24 degrees of freedom gives approximately 2.797.

Step 3: Calculate the confidence interval.

Confidence Interval = 12.5 ± (2.797 * 0.275) = 12.5 ± 0.768 = [11.732, 13.268]

Therefore, the 99% confidence interval for the population mean is [11.732, 13.268]. This corresponds to option A, [11.7019, 13.2981], with the closest values in the answer choices.

Explanation:

To calculate the 99% confidence interval for the population mean, we use a formula that incorporates the sample mean, the standard error, and the critical value. The critical value represents the number of standard errors away from the mean we need to consider for a particular confidence level. In this case, we use the t-distribution since the population variance is unknown.

First, we calculate the standard error (SE) by dividing the population variance by the square root of the sample size. Next, we determine the critical value from the t-distribution table based on the desired confidence level (99%) and the degrees of freedom (n-1). In this case, the sample size is 25, so the degrees of freedom are 24.

Using the sample mean of 12.5, the standard error of 0.275, and the critical value of 2.797, we calculate the confidence interval by adding and subtracting the product of the critical value and the standard error from the sample mean. This gives us [11.732, 13.268] as the 99% confidence interval for the population mean.

Option A, [11.7019, 13.2981], is the closest representation of the calculated confidence interval and therefore the correct answer.

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The distance between the intercepts of both lines is 2 units

The equation of a line in slope intercept form is:

\(y = mx + b\)

Where:

\(m \to\) slope

\(b \to\) y intercept

For the first line, we have:

\(m_1 = 3\) ---- the slope

So, the equation of the first line is:

\(y = 3x + b_1\)

For the second line, we have:

\(m_2 = 5\) --- the slope

So, the equation of the second line is:

\(y = 5x + b_2\)

Both lines intersect at (10,15) means that (10,15) is a common solution to the equation of both lines

i.e.

\((x,y) = (10,15)\)

Substitute these values in the first equation and solve for b

\(y = 3x + b_1\)

\(15 = 3*10 + b_1\)

\(15 = 30 + b_1\)

\(b_1 = 15 - 30\)

\(b_1 = -15\)

So, the equation of the first line is

\(y = 3x - 15\)

Repeat the same process for the second line

\(y = 5x + b_2\)

\(15 = 5*10 + b_2\)

\(15 = 50 + b_2\)

\(b_2 = 15 - 50\)

\(b_2 = -35\)

So, the equation of the second line is

\(y =5x - 35\)

The x intercept is when \(y =0\)

So, we substitute 0 for y and solve for x in the equations of both lines

For line 1

\(y = 3x - 15\)

\(0 = 3x - 15\)

\(3x= 15\) ---- Collect like terms

\(x = 5\) --- Divide both sides by 3

The x intercept of line 1 is 5

For line 2

\(y =5x - 35\)

\(0 = 5x - 35\)

\(5x = 35\) --- Collect like terms

\(x = 7\) -- Divide both sides by 5

The x intercept of line 2 is 7

The distance (d) between both is the difference in the intercepts:

\(d = 7 - 5\)

\(d = 2\)

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By examining the dotplot, you can see the frequency and distribution of the miles run by Roger. For example, there are 4 instances where Roger ran 0.5 miles, 3 instances where he ran 4 miles, and so on.

The dotplot that displays the data correctly is the one titled "Roger's Training" with a number line labeled "Miles Run" that goes from 0.5 to 5 in increments of 0.5. The dotplot should have the following data points:
0.5, 4
1, 1
1.5, 2
2, 2
2.5, 3
3, 2
3.5, 0
4, 3
4.5, 2
5, 1
This dotplot accurately represents the number of miles Roger ran each day over a 20-day period. Each dot represents a data point from the given list of miles run. The number line indicates the range of miles run, starting from 0.5 and ending at 5, with increments of 0.5.
By examining the dotplot, you can see the frequency and distribution of the miles run by Roger. For example, there are 4 instances where Roger ran 0.5 miles, 3 instances where he ran 4 miles, and so on. This visual representation allows you to easily interpret the data and observe any patterns or trends in Roger's training.

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False. The ANOVA F-statistic is defined as the Between Group Variation divided by the Within Group Variation.

In Analysis of Variance (ANOVA), we compare the variation between different groups (the Between Group Variation) to the variation within each group (the Within Group Variation). The F-statistic is the ratio of the Between Group Variation to the Within Group Variation.

The F-statistic is used to test the null hypothesis that the means of the different groups are equal. If the F-statistic is large and the associated p-value is small, we reject the null hypothesis and conclude that there is evidence of a difference between the means of the groups.

On the other hand, if the F-statistic is small and the associated p-value is large, we fail to reject the null hypothesis and conclude that there is not enough evidence to conclude that the means of the groups are different.

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Answer:

b and d

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2 is the smallest you can get fir it to be a proper triangle

The length of the legs of the right triangle are 2.83 units.

A right tangle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the legs of the triangle can be found using trigonometric ratios.

Hence,

sin 45 = opposite / hypotenuse

sin 45 = a / 4

cross multiply

a = 4 × 0.70710678118

a = 2.83 units

Therefore,

cos 45 = b / 4

cross multiply

b = 0.70710678118 × 4

b = 2.82842712475

b = 2.83 units

Therefore, the legs are 2,83 units

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Answer:

1/4 is answer.

Step-by-step explanation:

Divide 3 to 12 = 1/4

Hope this helps. :)

Answer:

a) (1,1)

b) 2/3

I think this is correct

Answer:

Co-ordinates of point M are ( 1, 1)

Slope of median EM = -2/3

Answer:

  x = {-2 5/6, +2}

Step-by-step explanation:

To use the quadratic formula, it is helpful to write the equation in standard form.

  (2x +1)(3x +1) = 35

  6x^2 +5x -34 = 0 . . . . . . . subtract 35 and simplify. a=6, b=5, c=-34

The quadratic formula tells you the values of x are ...

  \(x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-5\pm\sqrt{5^2-4(6)(-34)}}{2(6)}\\\\=\dfrac{-5\pm\sqrt{841}}{12}=\dfrac{-5\pm29}{12}\\\\\boxed{x=\left\{-\dfrac{17}{6},2\right\}}\)