WHAT IS THE SOLUTION TO THE SYSTEM OF EQUATIONS

Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.

Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.

In other words, the change in the mean is calculated as follows:

Change in mean = Mean of second data set - Mean of first data set

Since none of the values in the second data set have changed, the mean of the second data set is the same as the mean of the first data set. Therefore, the change in the mean is:

Change in mean = Mean of second data set - Mean of first data set

= Mean of first data set - Mean of first data set

= 0

Thus, the change in the means between Kelly's original survey and her second survey is zero.

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A new sample size of at least 537 fish to estimate the true mean length with a margin of error of 0.5 centimeters and 95% confidence.

To determine the size of a new sample so that the true mean length is estimated with a margin of error of 0.5 centimeters with 95% confidence, we need to find the standard error of the mean and use it in the formula for the margin of error.

The formula for the margin of error is: ME = z * (σ/√n)

where z is the z-score corresponding to the desired confidence level, σ is the standard deviation of the population, and n is the sample size.

We can estimate the standard deviation of the population using the sample variance, which is given as 34.9.

The standard deviation is the square root of the variance, so σ = √34.9

= 5.91.

To find the standard error of the mean, we divide the standard deviation by the square root of the sample size:

SEM = σ/√n

= 5.91/√n We want the margin of error to be 0.5 centimeters, so we can set up the equation:

0.5 = z * (5.91/√n)

To solve for n, we need to know the value of z for a 95% confidence level.

This corresponds to a z-score of 1.96. Substituting this into the equation gives: 0.5 = 1.96 * (5.91/√n)

Simplifying and solving for n gives: √n = 1.96 * (5.91/0.5) √n

n =(23.18)

n = 537

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Answer:

1) given

2) alternate interior angles

3) given

4) definition of midpoint

5) vertical angles

6) ASA

Step-by-step explanation:

If m∠4 = m∠7, then the line l and m are parallel lines and cut by the transversal r.

Here the given condition is

m∠4 = m∠7

We know when two parallel lines are cut by a transversal, the alternate interior angles will be equal.

The parallel lines are coplanar straight line that are equal distance from each other and does not meet.

If the parallel lines l and m are cut by the transversal r, then the formed alternate interior angles are ∠4 and ∠7. We know the alternate interior angles are equal

Hence, If m∠4 = m∠7, then the line l and m are parallel lines and cut by the transversal r.

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Answer:

Step-by-step explanation:

6 + 2 = 4,  given

6 + 5 = 11, correct

The third one

This graph is the only one that shows the correct slops with the correct y intercepts (-3 and 3)

The possible value for the width is 10.

What is the length of a rectangle?

Since its sides are coupled, it essentially only has two distinct dimensions. The length of the rectangle is traditionally thought of as being the longer of these two dimensions, however, when the rectangle is depicted standing on the ground, the vertical side is typically referred to as the length.

Here, we have

The length of a rectangle is 5 times the width

L = 5w

120 < Perimeter = 2L + 2w

= 2(5w) + 2w

= 10w+2w = 12w

10 > w

w < 10

Hence, the possible value for the width is 10.

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Answer:

The answer is y=7.5x and y=5.5x+10

Answer:

How did you manage to get it upside down? impressive

Step-by-step explanation:

The answer is C because the slower slope value had +10 as the y intercept also you can clearly see the orange one is going at a faster rate

Answer:

10

Step-by-step explanation:

distance formula = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}

(x_1, y_1) = (5, 1)

(x_2, y_2) = (-3, -5)

\sqrt{ [(-3) - (5)]^2 + [(-5) - (1)]^2 }

\sqrt{ [-8]^2 + [-6]^2 }

\sqrt{ 64 + 36 }

\sqrt{ 100 }

= 10

Answer:

\( Distance = 10 \ u \)

Step-by-step explanation:

Given :-

And we need to find the distance between the two points . We can use distance formula here to find the distance between the two points . The distance formula for two points ,

Distance Formula :-

\(\implies Distance =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

\(\implies Distance =\sqrt{\{5-(-3)\}^2+\{1-(-5)\}^2 } \\\\\implies Distance =\sqrt{ (5+3)^2+(1+5)^2}\\\\\implies Distance =\sqrt{ 8^2+6^2}\\\\\implies Distance =\sqrt{64+36}\\\\\implies Distance =\sqrt{100}\\\\\implies Distance = 10\ units \)

Hence the distance between the two points is 10 units .

Answer:

Step-by-step explanation:

4n - 1 ≤ 9

≤  -----> this symbol stands for greater than or equal to

Answer:

Step-by-step explanation:

For an equation or function be linear, it should be in the form:

Y= mX +b

then

a) YES Linear

b) NO linear

c) YES Linear

d) NO linear

Option D: There is not enough evidence to suggest that the average percent increase of company sales after an advertising campaign is different from 17 percent.

The marketing manager wants to test the claim that the percent increase in company sales after an advertising campaign is different from 17 percent. To do this, a z-test statistic was calculated, which came out to be 2.43. The marketing manager wants to know if there is enough evidence to reject the null hypothesis. The significance level, or alpha, is given as 0.01.

To determine if there is enough evidence to reject the null hypothesis, we need to compare the test statistic to the critical value(s) and the p-value.

First, let's determine the type of test we should use. Since the alternative hypothesis is that the percent increase is different from 17 percent, we need a two-tailed test.

Next, we compare the test statistic to the critical value(s) based on the significance level. Since the significance level is 0.01, we need to find the critical value(s) that split the alpha evenly between the two tails of the distribution. In this case, the critical value(s) would be ±2.58 (which corresponds to an alpha of 0.005 for each tail).

Now, let's compare the test statistic (2.43) to the critical value(s) (±2.58). Since the test statistic falls within the range of the critical value(s), we do not have enough evidence to reject the null hypothesis.

Lastly, let's consider the p-value. The p-value is the probability of observing a test statistic as extreme as the one calculated, assuming the null hypothesis is true. In this case, the p-value is given as 0.015. Since the p-value is greater than the significance level (0.01), we do not have enough evidence to reject the null hypothesis.

Based on these results, we can conclude that there is not enough evidence to suggest that the average percent increase of company sales after an advertising campaign is different from 17 percent.

COMPLETE QUESTION:

Understand and interpret the test-statistic and p-value Question A marketing manager would like to test the claim that the percent increase of company sales after an advertising campaign is different than 17 percent. If the z, test statistic was calculated as z = 2.43, does the marketing manager have enough evidence to reject the null hypothesis? Assume a = 0.01. Move the blue dot to choose the appropriate test (left, right, or two-tailed). Then, use the graph below to show the test statistic, p-value, and the rejection region to make a conclusion about the hypothesis test. Move the blue dot to choose the appropriate test Significance level = 0.01 a=0.01 a=0.025 a=0.05 a=0.1 Move the blue dot to choose the appropriate test Significance level = 0.01 a=0.01 a=0.025 a=0.05 a=0.1 a/2 = 0.005 a/2 = 0.005 p-value= 0.015 D Ź T Ő tes statistic = 2. test statistic = 2.43 Z= 2.58 Z= -2.58 powered by Select the correct answer below:

A.There is enough evidence to suggest the average percent increase of company sales after an advertising campaign is greater than 17 percent. B. There is not enough evidence to suggest the average percent increase of company sales after an advertising campaign is greater than 17 percent.

C. There is enough evidence to suggest the average percent increase of company sales after an advertising campaign is not 17 percent.

D. There is not enough evidence to suggest the average percent increase of company sales after an advertising campaign is not 17 percent.

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The type of analysis of variance (ANOVA) that can analyze several independent variables at the same time is called "Two-way ANOVA" or "Factorial ANOVA." This method allows you to examine the effects of multiple independent variables and their interactions on a dependent variable.

1. Identify your independent variables: These are the factors you want to analyze in your study, such as different treatments, groups, or conditions.

2. Determine the levels of each independent variable: The levels are the different categories or conditions within each independent variable.

3. Collect data for each combination of independent variables: Measure the dependent variable for every possible combination of the levels of the independent variables.

4. Calculate the main effects and interaction effects: Using statistical software or calculations, determine the main effects of each independent variable, as well as any interaction effects between the independent variables.

5. Assess the statistical significance: Compare the calculated F-values for the main and interaction effects to the critical F-value to determine if the results are statistically significant.

In summary, a two-way ANOVA or factorial ANOVA allows you to analyze the effects of several independent variables at the same time and helps explain why certain relationships exist in the data in more detail.

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The expected payback for betting $6 on red in this roulette game is approximately -$0.32. This means, on average, you can expect to lose about $0.32 per $6 wagered.

To calculate the expected payback for the game, we need to consider the probabilities and payouts associated with the bet on red.

In a standard roulette wheel, there are 18 red compartments, 18 black compartments, and two green compartments (neither black nor red) representing the 0 and 00. This means there are 38 equally likely outcomes.

If you bet $6 on red, there are 18 favorable outcomes (the red compartments) and 20 unfavorable outcomes (the black and green compartments). Therefore, the probability of winning is 18/38, and the probability of losing is 20/38.

If the color red occurs, you get to keep your bet of $6 and win an additional $6.

To calculate the expected payback, we multiply the probability of winning by the payout for winning and subtract the probability of losing multiplied by the amount wagered:

Expected Payback = (Probability of Winning * Payout for Winning) - (Probability of Losing * Amount Wagered)

Expected Payback = ((18/38) * $6) - ((20/38) * $6)

Expected Payback = ($108/38) - ($120/38)

Expected Payback = -$12/38

The expected payback for betting $6 on red in this roulette game is approximately -$0.32. This means, on average, you can expect to lose about $0.32 per $6 wagered.

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Answer:

Answer on a graph

To determine the maximum number of 2/0 AWG THW aluminum compact conductors permitted in a 2½-inch PVC conduit, Schedule 80, we need to consult the applicable electrical code or standards.

The number of conductors allowed in a conduit is typically governed by factors such as fill capacity and heat dissipation.

The specific requirements may vary depending on the jurisdiction and the electrical code being followed. It is recommended to consult the local electrical code or a qualified electrician to ensure compliance with the regulations in your area.

They will be able to provide the precise guidelines and restrictions for conductor fill capacity based on the conduit size, type, and the specific application.

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Answer:

i dont now but i thin it is 5

Step-by-step explanation:

Answer:

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APP 447520635495

The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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Negative linear correlation between variables.

The statement "The more you save (x), the less you spend (y)" suggests a negative linear correlation between the variables x and y. In a negative linear correlation, as one variable increases, the other variable decreases at a constant rate.

In this case, as the amount saved (x) increases, the amount spent (y) decreases. This implies that if someone saves more money, they tend to spend less money. It is important to note that correlation does not necessarily imply causation.

In other words, just because there is a negative linear correlation between the amount saved and the amount spent, it does not mean that saving more money causes people to spend less. There may be other factors that influence both variables. Nonetheless, understanding the nature of the correlation between variables can be useful in making predictions and analyzing data.

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The area of the triangular yard is 7000 ft².

The entire area enclosed by three sides of a triangle is the area of it.

Given,

The base of the triangle is 200 feet and the height of the triangle is 70 feet.

Therefore, the area of the triangle

= (1/2) × base of the triangle × height of the triangle =  (1/2) × 200 × 70 ft² = 7000 ft².

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Answer:

v=d/delta t

d=v×delta t

=266 000km/h×168h

=44,688,000.km

The net sales in the department during the month of april is $15960.

Sell-thru perecentage rate = Units sold / Units recieved

In our case:

Net sales = (Sell-thru rate)*(opening inventory)

Net sales = (0.28)*($57000)

= $15960

Net sales refer to the total amount of revenue generated by a company from its primary business operations, minus any returns, allowances, and discounts. This figure reflects the actual revenue earned by a company after accounting for any deductions and is a critical metric for evaluating the financial performance of a business.

Net sales are reported on a company's income statement and are a key component of the top line, which also includes other sources of revenue, such as interest income or gains from the sale of assets. Understanding a company's net sales is essential for assessing its growth potential, profitability, and overall financial health. Investors, creditors, and other stakeholders use net sales as a metric to evaluate a company's ability to generate revenue from its core operations, as well as its ability to compete effectively in its industry.

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Answer:

5cm

Step-by-step explanation:

Convert 1.5m into cm to make it easier to solve.

1.5m --> 150cm (*100)

The real bike length is 30 times larger than the scale. So to undo this we need to divide by 30.

150cm / 30 = 5cm

The approximate p-value is 5.1250%.

P-value is the probability of obtaining a test statistic as or more extreme than what was actually observed, given that the null hypothesis is true.

Two-sided significance test, with a significance level of 2%. you then randomly sample 420 items from the production line, and find that 22 of the items are defective.

The approximate p-value for this two-sided significance test, with a significance level of 2%, is 5.1250%.

This is the probability of observing 22 or more defective items given that the true rate is 3.2%.

This was calculated using a binomial test, which takes into account the sample size and the expected rate of defects.

This p-value indicates whether or not the observed rate of defects is significantly different from the expected rate.

In this case, the p-value is the probability of observing 22 or more defective items given that the true rate is 3.2%.

This can be calculated using a binomial test.

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Answer:

10

Step by Step Explanation:

First, you would find the distance between -6, 0 and then you would find the distance between -7 and 1.

The distance between -6 and 0 is 6, and the distance between -7 and 1 is 8

Now you use the Pythagorean theorem. So, 6²+8²=c²

36+64=c²

100=c²

c=10

I hope this helps!!!!

Answer:A. confirmed A is correct

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:

I don't know how to explain sorry :( I just do it, I do not ever show my work, but I am always wright :)

Answer:

y = 5

Step-by-step explanation:

y = 3x - 13

y = 3(6) - 13

y = 18 - 13

y = 5