Sean stayed in three different cities (Washington, D.C., Atlanta, Georgia, and Dallas, Texas) for a total of 14 nights. He spent three times as many nights in Dallas as he did in Washington. The total cost for 14 nights (excluding tax) was $2410. Determine the number of nights that he spent in each city.

Answer:

a

Step-by-step explanation:

General equation of a circle : \((x-h)^2+(y-k)^2=r^2\)

where (h,k) is at center and r = radius

Here, we want to find the equation of a circle with a given center at (3,4) and a given radius of 6

This is very simple, all we have to do is assign variables and then plug in the values of the variables into the general equation of a circle

First lets assign variables.

(h,k) is center and the circle has a given center at (3,4)

so (h,k) = (3,4) thus, h = 3 and k = 4

r = radius and the circle has a given radius of 6 so r = 6

now we plug this into the general equation of a circle.

recall equation : (x-h)² + (y-k)² = r²

h = 3, k = 4 and r = 6

plug in values

(x-3)² + (y-4)² = 6²

simplify exponent

(x-3)² + (y-4)² = 36

and we are done!

The answer is A

A discrete probability distribution is a statistical distribution that relates to a set of outcomes that can take on a countable number of values, whereas a continuous probability distribution is one that can take on any value within a given range.Therefore, the main difference between the two types of distributions is the type of outcomes that they apply to.

An example of a discrete probability distribution is the probability of getting a particular number when a dice is rolled. The possible outcomes are only the numbers one through six, and each outcome has an equal probability of 1/6. Another example is the probability of getting a certain number of heads when a coin is flipped several times.

On the other hand, an example of a continuous probability distribution is the distribution of heights of students in a school. Here, the range of heights is continuous, and it can take on any value within a given range.

The expected value of a probability distribution measures the central tendency or average of the distribution. In other words, it is the long-term average of the outcome that would be observed if the experiment was repeated many times.

For a discrete probability distribution, the expected value is computed by multiplying each outcome by its probability and then adding the results. In mathematical terms, this can be written as E(x) = Σ(xP(x)), where E(x) is the expected value, x is the possible outcome, and P(x) is the probability of that outcome.

For example, consider the probability distribution of the number of heads when a coin is flipped three times. The possible outcomes are 0, 1, 2, and 3 heads, with probabilities of 1/8, 3/8, 3/8, and 1/8, respectively. The expected value can be computed as E(x) = (0*1/8) + (1*3/8) + (2*3/8) + (3*1/8) = 1.5.

Therefore, the expected value of the distribution is 1.5, which means that if the experiment of flipping a coin three times is repeated many times, the long-term average number of heads observed will be 1.5.

Answer:

1: below its initial height.

2: if Jimmy has 20 balls and Chris take 15,how many balls does Jimmy have?

3: I would want Mrbeast to be the President because he would help everyone.

SOLUTION

We will apply the amount formula

Substituting each into the equation, we have

Hence the answer is $10,333.71 to two decimal places

Answer:

y = - 3x + 11

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 = \(\frac{1}{3}\) x - 3 ← is in slope- intercept form

with slope m = \(\frac{1}{3}\)

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

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

y = - 3x + c ← is the partial equation

To find c substitute (3, 2) into the partial equation

2 = - 9 + c ⇒ c = 2 + 9 = 11

y = - 3x + 11 ← equation of perpendicular line

To calculate the 95% confidence interval for the difference in mean weekly sales for the two movie theaters, follow these steps:

Step 1: Gather the data for the random sample of 25 weeks.

Step 2: Calculate the mean and standard deviation for each movie theater's weekly sales.

Step 3: Calculate the difference in mean weekly sales for the two movie theaters (subtract the mean of theater 2 from the mean of theater 1).

Step 4: Calculate the standard error of the difference by taking the square root of [(standard deviation of theater 1^2 / number of weeks) + (standard deviation of theater 2^2 / number of weeks)].

Step 5: Determine the critical value for a 95% confidence interval using a t-table or calculator (for a two-tailed test with 24 degrees of freedom, the critical value is approximately 2.064).

Step 6: Multiply the critical value by the standard error to get the margin of error.

Step 7: Calculate the lower and upper bounds of the confidence interval by subtracting and adding the margin of error from the difference in mean weekly sales.

The result will be the 95% confidence interval for the difference in mean weekly sales for the two movie theaters.

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Applying the concept of supplementary angles, their measures are of 60º and 120º.

Two angles are called supplementary if the sum of their measures is of 180º.

In this problem, we have that the measurement of one angle is half the measurement of the other, and they are supplementary, hence:

\(x + \frac{x}{2} = 180\)

\(\frac{3x}{2} = 180\)

3x = 360

x = 120

x/2 = 120/2 = 60º.

The measures of the supplementary angles are of 60º and 120º.

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Answer:

Step-by-step explanation:

8y^2 - 84y

Answer:

5.218

Step-by-step explanation:

Since 2, ten thousandths place, is less than 5, the thousandths place stays the same.

It would be 5.218

If my answer is incorrect, pls correct me!

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-Chetan K

The function has no minimum or maximum

The function is given as

f(x) = -2/3x + 5 if x < 0

f(x) = -x^2 + 4x + 5 if x > 4

The above function is a piecewise function

And the type of functions in the piecewise function are

A linear function does not have a minimum or a maximum

This means that the function would have no minimum or maximum

Hence, the minimum or the maximum value of the function does not exist

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Answer:

3(2x+4)+2(x-2)

6x+12+2x-4

6x+2x+12-4

8x+8

I am from grade 9 from which grade are you

Answer:

EF = 6

Step-by-step explanation:

This is because the ratio of the larger trapezoid to the smaller trapezoid is 4:1 so you just divide 24 by 4.

Answer:

6

Step-by-step explanation:

the scale difference is 4  

It takes 53 years until we run out of gas.

Given,

Reserves of natural gas = 6500 TCF

Consumption per year = 123 TCF

Therefore,

years left ( x )= Reserves of natural gas / Consumption per year  

                     = 6500/123

                     = 52.8 years

                  x = 53 years approximately

So, it takes 53 years until we run out of gas at this rate of consumption.

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Answer:

Domain: ( Positive infinity, Negative Infinity)

Range: (-3, Positive Infinity )

Step-by-step explanation:

Answer:

just three

Step-by-step explanation:

zero is not a significant number .

Significant number starts from one upward

Answer:

2x - 8 = 12  has the same solution as 12/x-4 = 2

Step-by-step explanation:

They both equal 10

Answer:

C. Scalene triangle

Step-by-step explanation:

Wich Type of triangle has not equal side lengths A. Isosceles B. Equilateral C. Scalene D. None of the above

scalene triangle can be regarded as triangle whereby all three sides of the triangle have different lengths. the angles in scalene triangle is also

different if measured. Some right triangles can as well be regarded as scalene triangle if other two angles( the legs) are not congruent. It should be noted that Type of triangle which has not equal side lengths is Scalene

Answer: She got the sign of the slope wrong

Step-by-step explanation:

She did  -4y         -2 - 15x

                -4      =       -4

and turned that into ,

 -2         -     -15x  

 -4    (minus)  -4

which is wrong, because she did the negative twice. Therefore, she mixed up the sign of the slope.

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Answer:

2

Step-by-step explanation:

p/2-5

You can use PEMDAS to help:

Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

So, first we have to substitute 14 for p to get:

14/2-5

Next, comes division before subtraction, so we can rewrite the equation as this:

(14/2)-5

7-5

=2

9514 1404 393

Answer:

  A, B, D

Step-by-step explanation:

The sides in order from smallest to largest are ...

  AC, BC, AB

Then the opposite angles in order from smallest to largest are ...

  B, A, C

Let's consider the choices:

A. m∠A < m∠C --- true

B. m∠B = m∠C --- true

C. m∠A < m∠B --- false

D. m∠B < m∠A < m∠C --- true

Answer:

Step-by-step explanation:

Finding the x-intercepts :

Finding the vertex :

Finding the y-intercept :

In order to find x-intercept, the f(x) or y will be 0

=================

(x-4)(x + 2) = 0

(x-4) = 0, (x + 2) = 0

x = 4, x = -2

x intercepts: (4, 0) and (-2, 0)

In order to find vertex use the formula: x = -b/2a

y = (x-4)(x + 2)

y = x² -4x + 2x -8

y = x² - 2x -8

Now find x-coordinate of vertex:

x = -(-2)/2(1)

x = 2/2

x = 1

y coordinates: (1-4)(1 + 2) =  -9

Ordered pair of vertex: (1, -9)

In order to find y intercept, insert x = 0

y = (0-4)(0 + 2)

y = -8

y intercept: (0, -8)

Based on the above figures and the formula for calculating the debt-assets ratio, the company's debt-assets ratio (where debt is defined to include both short-term and long-term debt) is 0.413 or 41.3%.

The given balance sheet data,

Balance Sheet Data

Cash on Hand 2,000

Total Current Assets 78,000

Total Assets 315,000

Overdraft Loan Payable 4,000

1- Year Bank Loan Payable 8,000

Current Portion of Long-Term Loans 13,000

Total Current Liabilities 48,000

Long-Term Bank Loans Outstanding 105,000

Shareholder Equity Year11 Balance Year 12 Change Common Stock 10,000 0 10,000

Additional Capital 100,000 0 100,000

Retained Earning 30,000 22,000 52,000

Total Shareholder Equity 140,000 +22,000 162,000

          The debt-assets ratio is calculated by dividing the total debt (current liabilities + long-term loans) by the total assets.

           In this case, the total debt is 48,000 + 105,000 = 153,000

           and the total assets are 315,000.

   Thus, the debt-assets ratio is 153,000/315,000 = 0.413.

           Also, the debt-assets ratio is 0.413 * 100 = 41.3%

           The correct answer is b) 0.413.

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f(x)>=-7

Functions:

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics.

If a variable y is so related to a variable x that whenever a numerical value is assigned to x, there is a rule according to which a unique value of f(x)is determined, then f(x) is said to be a function of the independent variable x

Given :

f(x) = -3|x+1|-4

using the table of values for g(x) = |x|

Solution :

f(x) = -3|x+1|-4

f(x) = -3|g(x)+1|-4

f(x) = -3||x|+1|-4

which means |x| is always positive |x|>0

f(x) = -3||x|+1|-4

f(x) = -3x-3-4

f(x) = -3x-7

f(x)>=-7

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Given:

A sine function graph

To find:

the function that represents the graph

To determine the correct function, we will apply the sine function formula:

Substitute the values into the formula:

There are \(5^{7}\) total ways to divide the seven different prizes because each prize is selected from among five students and is awarded to only one.

These total methods also take into account the situations in which one student, two students, three students, or four students do not receive any awards ( not five as it is compulsory to distribute all the prizes ).

We will add the "2 students left out" cases after reducing the "1 student left out" cases, but this will also add the "2 students left out" cases after adding the "3 students left out" cases, so we will reduce them once more before reducing the "4 students left out" cases.

Hence total ways :

student left out”+“2

students left out”−“3

students left out”+“4

students left out”

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Answer:

•Axioms

•Definitions

•Postulate

We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.

The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.

According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.

Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

The difference between the values in the matched pairs' standard deviation is calculated.

The complete question is:

To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.

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We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.

What is the difference between standard deviation and confidence interval?

The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.

According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.

Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

The difference between the values in the matched pairs' standard deviation is calculated

To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.

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