Log k-log(k-2)=log25

The statement "rxy = 0" represents the null hypothesis in correlation analysis, indicating no linear relationship between variables x and y.

In correlation analysis, the correlation coefficient (r) measures the strength and direction of the linear relationship between two variables, usually denoted as x and y. When the statement "rxy = 0" is made, it refers to the null hypothesis in correlation testing. The null hypothesis states that there is no significant correlation between the variables.

If the correlation coefficient (r) between x and y is found to be exactly 0, it suggests that there is no linear relationship between the variables. This means that changes in x are not associated with any predictable changes in y.

Researchers use statistical tests, such as hypothesis testing, to evaluate whether the observed correlation coefficient is significantly different from 0. If the calculated correlation coefficient is significantly different from 0, the null hypothesis is rejected, indicating evidence of a linear relationship between x and y. However, if the calculated correlation coefficient is close to 0, it supports the null hypothesis, suggesting no linear relationship between the variables.


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Answer:

Option 2

 x     y

−3     0

−1      3

 0     4

 3     0

4 3

Step-by-step explanation:

For a relation x →  y to be a function, there can be one and only one value of y for a value of x

Looking at the tables we see that option 1 is out since all x values are 2 andthere are multiple values of y

The last option is out because for x = 0 there are two values of y=-2 and y = 2

Correct choice is the second option which has a unique y value for each value of x

Answer:

option 2 im doing it rn

Step-by-step explanation:

Answer:

-4/15

Step-by-step explanation:

-3/5+1/3 = -4/15

Answer:

4120 feets

Step-by-step explanation:

Given that:

Starting elevation = 0 feets

Elevation gained on first day = 2150 feets

Total elevation at the end of day 1 = 0 + 2150 = 2150 feets

Elevation gained on second day = 1970 feets

Total elevation at the end of day 2 = 2150 + 1970 = 4120 feets

Elevation at the end of 3 rd day = 0 feets

Hence, elevation lost on day 3 ;

(4120 - 0) = 4120 feets

The 85% confidence interval for the mean time at lunch is (31.84, 39.36) minutes.

In a random sample of fourteen people, the mean time at lunch was 35.6 minutes.

Standard deviation of 8.2 minutes.

A common method to calculate the confidence interval for the mean of a normal distribution is to use the Z-score. For a 85% confidence interval, the Z-score is 1.44. Therefore, the confidence interval can be calculated as:

The confidence interval formula in statistics is used to describe the amount of uncertainty associated with a sample estimate of a population parameter.

Where,

n= Number of terms

\($\overline{\mathrm{x}}\)= Sample Mean

\($\sigma\)=Standard Deviation

\($z_{\alpha / 2}\)= Value corresponding to a2 in z table

\($t_{\alpha / 2}\)= Value corresponding to a2 in t table

\($\alpha\)=(1 - Confidence Level /100)

So for the given data, the confidence interval would be:

35.6 ± 1.44 * 8.2 / √14

35.6 ± 1.44 * 8.2 / 3.74

35.6 ± 3.76

Therefore, the 85% confidence interval for the mean time at lunch is (31.84, 39.36) minutes.

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Answer:

Explanation:

Here, we want to get the value of c given that the three points are collinear

When points are collinear, the slope between any two is same

Two or more points are called collinear if they lie on the same line

Mathematically, we have the expression of calculating the slope as:

For the first 2, we have:

Now, to get the vale of c, we can use any of the points:

The polynomial 3xA² is a linear monomial having one term and a degree one.

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

There are many types of polynomials according to the number of terms they have.

If a polynomial has one term it is called a monomial, Has two terms called a binomial, and having three makes it a trinomial.

Given, A polynomial 3xA².

Now, The variable is 'x' and raised to the power of 1 so it is linear and consists of only one term so it is a monomial as 3 and A are constants.

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Answer:

The answer is 3.5

Step-by-step explanation:

Hope this helps :)

Answer:

x = 8

Step-by-step explanation:

given the line AD is parallel to BC and intersects the other 2 sides , then it divides those sides proportionally , that is

\(\frac{AE}{AB}\) = \(\frac{DE}{CD}\) ( substitute values )

\(\frac{16}{5x +2}\) = \(\frac{24}{63}\) ( cross- multiply )

24(5x + 2) = 16 × 63 = 1008 ← distribute parenthesis on left side

120x + 48 = 1008 ( subtract 48 from both sides )

120x = 960 ( divide both sides by 120 )

x = 8

Step-by-step explanation:

y = 3.50x

equation to

show the total amount of money, y, in dollars, Jack would spend in x days

a) Expected value = 50b.

b) Probability = 0.4c.

c) Probability that the game would take longer than 40 minutes is 0.2.

Let's discuss it further below.

In this question, we are given that the time required to play a certain game is uniformly distributed between 25 and 45 minutes. We are asked to find the expected value and variance of the time to complete the game, the probability of finishing within 33 minutes, and the probability that the game would take longer than 40 minutes.

a) To find the expected value and variance of the time to complete the game, we can use the following formulas:

Expected value = (minimum value + maximum value) / 2Variance = [(maximum value - minimum value)²] / 12

Using these formulas, we can calculate:

Expected value = (25 + 45) / 2 = 35Variance = [(45 - 25)²] / 12 = 50b.

b) To find the probability of finishing within 33 minutes, we can use the formula for a uniform distribution:

Probability = (x - minimum value) / (maximum value - minimum value)

Plugging in the values we know, we get:

Probability = (33 - 25) / (45 - 25) = 0.4c.

c) To find the probability that the game would take longer than 40 minutes, we can use the same formula as in part b, but with a different value for x:

Probability = (45 - 40) / (45 - 25) = 0.2

Therefore, the probability that the game would take longer than 40 minutes is 0.2.

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Based on the  average daily profit of an electronics store which is $28,465, the maximum the company expected for returned items is $3,774.46

What portion of the average daily profit is lost ?

The portion of the average daily profit which is lost each to returns is 13%, hence, the 13% of the average daily profit which is the base loss to return is computed thus:

loss to return=13%*$28,465

loss to return=$3,700.45

On the basis that margin of error is ±2%, that +2% or -2%, the maximum the company can expect for returned items is as shown below:

maximum expected for returned items=$3,700.45*(1+2%)

maximum expected for returned items=$3,774.46

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Answer: $4269.75

Step-by-step explanation:

So the Question asks for the ""The average daily profit of an electronics store is $28,465. The company estimates that 13%"" is lost each day to returns, with a margin of error of ±2%.

The average daily profit can be calculated by finding 13% of 28,456.

What is the maximum the company can expect for returned items? So Adding the maximum (2%) we find 15% of 28,456 which is -

|$4269.75|

Answer:

Step-by-step explanation:  The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y).

The  amount of taxes owed on a taxable income of $49,652 is 10,293.44.

The amount of additional tax paid for each new dollar of income received is known as the marginal tax rate. Total taxes paid divided by total income earned is the average tax rate. With a marginal tax rate of 10%, tax would be deducted from the following dollar of income at a rate of 10%.

For instance, if a person has a taxable income of $24,750, they will pay taxes on the first $19,900 of that income at a rate of 10%, and on the remaining $5,000 at a rate of 12%.

Given:

Income= $49652

The above amount lies in the range of 41176- 89075 which has tax rate pf 22%.

So, the amount of taxes

= 49652 x 22%

=49652 x 22/100

= 49652 x 0.22

= 10,293.44

Hence, the amount of taxes owed on a taxable income of $49,652 is 10,293.44.

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Answer:

$6,600.44

Step-by-step explanation:

$49,652 falls into the 22% bracket.

Basically you take the taxable amount from each bracket and then multiply each by the corresponding marginal tax rate.

Then we take the income $49,652 and subtract it by the maximum of the last tax bracket which would be $41,175.

$49,652 - $41,175 = $8,477.

Multiply this by 22% = 1,864.94 then add the other brackets' taxes owed which should total to $6,600.44

Answer:

B

Step-by-step explanation:

You cannot have two or more domains.

'

3 appears twice and is located in the x axis, which is basically the domain.

Hope this helps

Answer: B

a and c are both functions and b is not.

Answer:

a = ±sqrt(3)

Step-by-step explanation:

a×a×a=a+a+a

Simplifying each side

a^3 = 3a

Divide each side by a

a^3 /a = 3a/a

a^2 = 3

Take the square root of each side

sqrt(a^2) = ±sqrt(3)

a = ±sqrt(3)

Answer:

nope its not equal

a×a×a=a³, but a+a+a=3a

so, a³≠3a

Step-by-step explanation:

i hope this helps....can i have brainliest

MERRY CHRISTMAS!!!......ENJOY UR HOLIDAY!!!

to minimize the time it takes to reach the island, the visitor has to run 15 km west of the tent to first get to the closest point of the shoreline to the island before swimming across to the island.

Here we have;

Location of island = 15km west

Location of tent = 2 km south of point on shoreline

Running speed of visitor = 8 km/h

Swimming speed = 1 km/h

Distance of island from tent = \(\sqrt{15^2 +2^2}\) = 15.13

Since, time = distance/speed, it will take 15.13/1 hours or 15.13 hours to swim directly to the island.

However if the visitor first runs to the closest point on the shoreline to the island, then swims across to the island, it will take;

15/8 Hr + 2/1 hr = 31/8 hours or 3.875 hours only.

Therefore, to minimize the time it takes to reach the island, the visitor has to run 15 km west of the tent to first get to the closest point of the shoreline to the island before swimming across to the island.

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Critical points are an essential aspect of any essay, as they demonstrate the writer's ability to analyze, evaluate and synthesize information.

To write critical points in an essay, start by identifying the key ideas or arguments presented in the text. Then, analyze these ideas and evaluate their strengths and weaknesses. You can do this by asking questions such as "What evidence supports this claim?" or "What are the implications of this argument?"

Next, use your analysis to synthesize your own ideas and perspectives on the topic. This may involve drawing connections between different parts of the text, or bringing in outside sources to support or challenge the arguments presented. Remember to be clear and concise in your writing, and to use specific examples to illustrate your points.

Overall, the key to writing effective critical points in an essay is to be thorough, thoughtful and objective in your analysis. By carefully evaluating the strengths and weaknesses of the text, and synthesizing your own ideas in response, you can create a compelling and persuasive argument that engages your reader and demonstrates your critical thinking skills.

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Answer:

She has 40 cookies left

Step-by-step explanation:

Give brainliest

Answer:

40

Step-by-step explanation:

....................

The solution of the initial-value problem for the separable differential equation y' = ³x +2y, y (0) = 4 is

y = 4e^(3/2)x²+2xy+3.

To solve the initial-value problem for the separable differential equation, y' = ³x +2y, y (0) = 4, we follow these steps;

First, we want to rewrite the given equation using the separation of variables. Therefore, we have

y' = ³x +2ydy/dx

³x +2y dy = (³x +2y)dx

To solve the above equation, we integrate both sides concerning their variables as shown below;`

∫dy/y = ∫(3x + 2y)dx`

ln|y| = (3/2)x² + 2xy + C, where C is the constant of integration.

Next, we exponentiate both sides to eliminate the natural logarithm, as shown;

|y| = e^(3/2)x²+2xy+C

Evaluate the constant using the initial condition y (0) = 4. Therefore, we have;

|4| = e^(3/2)(0)²+2(0)(4)+C

4 = 1 + C

C = 3

Thus, the general solution of the differential equation is;

y = ±e^(3/2)x²+2xy+3

We can now use the initial condition to obtain the particular solution. If we use the positive root, we have;

y(0) = 4

y(0)= 4/e^(3/2)(0)²+2(0)(4)+3

y'(0) = 4/e^(3/2)

Thus, the solution is; y = 4e^(3/2)x²+2xy+3. Therefore, the solution of the initial-value problem for the separable differential equation y' = ³x +2y y (0) = 4 is y = 4e^(3/2)x²+2xy+3.

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The z-score is -5, which indicates that the sample proportion of 40% is 5 standard deviations below the population proportion of 64%.

To calculate the z-score, we first need to determine the standard deviation of the population. Unfortunately, the question doesn't provide us with that information, so we'll have to make an assumption.

Let's assume that the standard deviation of the population is 0.05 (or 5%). This is a common assumption when the population standard deviation is unknown.

Using this assumption, we can calculate the standard error of the sample proportion (the proportion of people in our sample who believe the election was rigged):

standard error = sqrt((p * (1 - p)) / n)

where p is the proportion from the population (0.64) and n is the sample size (100).

standard error = sqrt((0.64 * (1 - 0.64)) / 100) = 0.0498

Next, we can calculate the z-score:

z = (sample proportion - population proportion) / standard error

z = (0.40 - 0.64) / 0.0498 = -4.82

So the z-score is -4.82. This means that our sample proportion is 4.82 standard errors below the population proportion. In other words, our sample result is highly unlikely to have occurred by chance if the population proportion is really 0.64.

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Answer:

20

Step-by-step explanation:

Given that:

The study group n = 4

number of participants = 10

the sum of squares for the between-groups source of variation is  60

The objective is to determine the mean square  between groups in this study

The mean square  between groups in this study compares the means of the group with the  sum of squares for the between-groups source (i.e the grand mean)

For this analysis;

the degree of freedom = n-1

the degree of freedom = 4 - 1

the degree of freedom =  3

Thus; the mean square between groups = \(\dfrac{60}{3}\)

the mean square between groups = 20

Answer:

I think is 30km/h

if it's wrong I'm sorry

For calls that are 6 minutes less, the rate is $0.70 per minute.

To find the cost of a call that is under 6 minutes, we simply need to use the first part of the rate schedule.

Let's say the call lasts for m minutes. Since m is less than or equal to 6, we can use the first part of the rate schedule, which gives us

c(m) = $0.70 per minute

So the cost of the call is simply the rate per minute times the number of minutes

c(m) = $0.70 × m

For example, if the call lasted 4 minutes, the cost would be

c(4) = $0.70 × 4 = $2.80

Therefore, the cost of a call that is under 6 minutes is simply $0.70 per minute.

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--The given question is incomplete, the complete question is given

" A phone company set the following rate schedule for an m-minute call from any of its pay phones.

c(m)=

{0.70    when m≤6

0.70+0.24(m−6)   when m>6 and m is an integer

0.70+0.24([m−6]+1)    when m>6 and m is not an integer }

what is the cost of a call that is under six minutes?​"--

when the minute hand rotated through 1260° time will became 5:30 PM

Complete angle:-

                             A complete angle is a type of angle that measures 360°.A complete angle deals with one full rotation measuring 360°.

      In an hour or in 60 minute, minute hand covers a 360° angle.

   According to question,

                              initially it is 2:00PM,that is minute hand at 12 and hour hand at 2

       it is given that minute hand has rotated through 1260°

                        1260° = 3 x 360° + 180°

                                                             which means minute hand will have three complete rotation and one half rotation.

            when minute hand rotated through 360° angle then hour hand will move from 2 to 3.

              And again in second rotation, when minute hand rotated through 360° angle then hour hand will move from 3 to 4.

             Again in third rotation, when minute hand rotated through 360° angle then hour hand will move from 4 to 5.

           As of now, minute hand have taken three complete rotation and so hour hand reached at 5

                 Now, when minute hand rotated through 180° (one half rotation),minute hand will reach at 6 from 12.

           So, right now the position of hour hand is between 5 and 6 and the position of minute hand at 6.

            hence,  time will be 5:30 PM

                            Option A is correct

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The measurement closest to the area of the bottom of the pan in square inches is approximately 154 square inches.

What is square?

A square is a two-dimensional geometric shape with four equal sides and four equal angles of 90 degrees each.

To calculate the area of the bottom of a circular pan, we need to use the formula for the area of a circle, which is given by:

Area = π * \((radius)^2\)

Given that the diameter of the pan is 14 inches, we can calculate the radius by dividing the diameter by 2:

Radius = Diameter / 2 = 14 inches / 2 = 7 inches

Now, we can substitute the radius value into the formula to find the area:

Area = π * \((7 inches)^2\)≈ 22/7 * 49 ≈ 154 square inches

Therefore, the measurement closest to the area of the bottom of the pan in square inches is approximately 154 square inches.

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Jill feeds each of her 6 dog,  1/8 of a can of food daily.

To find the amount of food each dog receives, we will divide the total amount of food (3/4 of a can) by the number of dogs (6). Follow these steps:

Step 1: Convert the whole number 6 into a fraction. This will be 6/1.
Step 2: Write the division problem as a multiplication problem by finding the reciprocal of 6/1, which is 1/6.
Step 3: Multiply 3/4 by the reciprocal, 1/6.

(3/4) x (1/6) = (3 x 1) / (4 x 6)

Step 4: Multiply the numerators together (3 x 1) to get 3, and multiply the denominators together (4 x 6) to get 24. This gives us the fraction 3/24.
Step 5: Simplify the fraction 3/24 by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 3.

 3 ÷ 3 = 1
 24 ÷ 3 = 8

So, the simplified fraction is 1/8. Jill feeds each of her 6 dogs 1/8 of a can of food daily.

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Answer:

The slope of a linear model can be calculated using the formula:

m = Δy / Δx

where:

Δy = change in y (the dependent variable, in this case, total cost)

Δx = change in x (the independent variable, in this case, number of candy bars)

This is essentially the "rise over run" concept from geometry, applied to data points on a graph.

In this case, we can take two points from the table (for instance, the first and last) and calculate the slope.

Let's take the first point (3 candy bars, $6.65) and the last point (25 candy bars, $48.45).

Δy = $48.45 - $6.65 = $41.8

Δx = 25 - 3 = 22

So the slope m would be:

m = Δy / Δx = $41.8 / 22 = $1.9 per candy bar

This suggests that the cost of each candy bar is $1.9 according to this linear model.

Please note that this assumes the relationship between the number of candy bars and the total cost is perfectly linear, which might not be the case in reality.

Answer:

6000

Step-by-step explanation:

Answer:x+y = 6,000

0.025x-0.015y

Step-by-step explanation: did it on edge