What is the value of x?
64 68
(8x -12)
(2x + 18)

Answer:

The expected value is $4.35

Step-by-step explanation:

Here, we want to find the expected value

To

do that, we simply will multiply each of the payouts by the individual probabilities, then add the results

Mathematically, we have this as;

0.35(1) + 0.2(2) + 0.1(5) + 8(0.2) + 10(0.15)

= 0.35 + 0.4 + 0.15 + 1.6 + 1.5 = $4.35

There can be 90% confident that the population mean salary of college graduates who took a statistics course is between $60,947.78 and $66,652.22.

To construct a 90% confidence interval for estimating the population means μ of salaries for college graduates who took a statistics course, we can use the formula:

Confidence interval = sample mean ± (critical value) x (standard error)

First, we need to find the critical value from the t-distribution table with a degree of freedom of n-1. Since we have 49 college graduates, our degrees of freedom are 48. Looking at the table, the critical value for a 90% confidence level is 1.677.

Next, we need to find the standard error, which is calculated by dividing the standard deviation by the square root of the sample size. In this case, the standard error is $11,936/sqrt(49) = $1703.05.

Substituting these values into the formula, we get:

Confidence interval = $63,800 ± 1.677 x $1703.05
Confidence interval = $63,800 ± $2852.22

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Answer:

1/3

Step-by-step explanation:

Answer:

I think the answer would be 3.92682926829

Step-by-step explanation:

Honestly i dont think i did this right at all. But i hope i did.

Here is what i did:

0.95 + 1.10 = 2.05

8.05 divided by 2.05 = 3.92682926829

Im so sorry if you get this wrong. I honestly am having an off day. Good luck :(

Answer:

i think its 8.7  miles but i might be wrong please correct me if i am

Step-by-step explanation:

Well main street is 5.6 and there is a gab in between main street and highway 1 and its a big gab but not that big it is asking what the length and they are asking what the distance from highway 1 to main street is and that may not seem so far way but its asking from the begining of highway one. I THINK THAT IS CORRECT BUT I'M NOT VERY SURE  

Answer:

1. 25%

2. 20%

3. divide

4. 27.5

5. rita

6. just divide

Step-by-step explanation:

Answer:

1.) 25%

2.) 20%

3.) See Step-By-Step Explanation #3.

4.) a.) Kasuko b.) See Step-By-Step Explanation #4b

Step-by-step explanation:

1.) 12 / 48 = 1 / 4 = x / 100 so x = 25 meaning that Rita got a 25% discount.

2.) 25 / 125 = 1 / 5 = x / 100 so x = 20 meaning that Masako got a 20% discount.

3.) First, you take the discount that you got to find the fraction of the original price discounted and convert it to a fraction with a denominator of 100, making "x" the percentage discounted on the purchase.

4.)

a.) 25/110 > 25/125

b.) If the numerator of 2 fractions are equal, the larger denominator is smaller.

Answer:

1,2,4, and 8

Step-by-step explanation:

The well defined set is a = ( test cricket captains of pakistan).

A set which is composed of elements which have finite value and does not depend upon the nature of thinking of different persons is called well defined set.

Some key features regarding the set are-

The following are some examples of basic set concepts:

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Paragraph 1: Oskar can use the conversion rate of 1 kilometer = 0.621371 miles to help him determine the distance of his trip in miles.

Paragraph 2: To convert 165 kilometers into miles, Oskar will need to multiply 165 by 0.621371.

Paragraph 3: Oskar might be traveling in a country where the maps are labeled in kilometers instead of miles.

What is the unit conversion in mathematics?

Unit conversion in mathematics is the process of converting a quantity from one unit of measurement to another. This is done by multiplying or dividing by a conversion factor, which is a ratio of equivalent units. For example, to convert kilometers to miles, you can use the conversion factor 1 kilometer = 0.621371 miles.

Paragraph 1: Oskar can use the conversion rate of 1 kilometer = 0.621371 miles to help him determine the distance of his trip in miles. This conversion rate will allow Oskar to convert the 165 kilometers into miles by multiplying it by 0.621371. This will help Oskar better understand the distance of his trip and make it easier for him to plan and track his progress.

Paragraph 2: To convert 165 kilometers into miles, Oskar will need to multiply 165 by 0.621371. This will give him the equivalent distance in miles. Oskar can use a calculator to perform this calculation and find the exact result. Alternatively, he can round the conversion rate to 1 kilometer = 0.621 miles, which will make the calculation easier and quicker.

Paragraph 3: Oskar might be traveling in a country where the maps are labeled in kilometers instead of miles. This is common in countries that use the metric system, such as Europe, Australia, and Canada. The difference between these two units of measure is that kilometers are a part of the metric system and miles are a part of the imperial system. Kilometers are a more universally accepted unit of measure and are used in most of the world, while miles are primarily used in the United States.

Hence,

Paragraph 1: Oskar can use the conversion rate of 1 kilometer = 0.621371 miles to help him determine the distance of his trip in miles.

Paragraph 2: To convert 165 kilometers into miles, Oskar will need to multiply 165 by 0.621371.

Paragraph 3: Oskar might be traveling in a country where the maps are labeled in kilometers instead of miles.

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The design guideline that enables the user to update the model parameters without the risk of mistakenly creating an error in a formula is "separating the parameters from the spreadsheet model."

When model parameters are separated from the spreadsheet model, it means that they are stored in a separate location, such as a table or input section of the worksheet. This allows the user to easily update the parameters without the risk of accidentally changing a formula. It also makes it easier to maintain and update the model over time. By separating the parameters, the user can be confident that any changes made to the model will not cause unintended errors in the formulas.

Using numbers in the spreadsheet formula and using simple formulas are also important design guidelines to follow. However, they do not necessarily guarantee that the user will be able to update the model parameters without the risk of creating an error. Documenting the spreadsheet model is also important for ensuring that others can understand and use the model effectively, but it does not directly address the issue of updating parameters without errors.

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Answer:

Graphs of inverse functions have a domain and range just like any other graph of a function. The domain of an inverse function is the range of the original, and the range of an inverse function is the domain of an original.

Step-by-step explanation:

The domain and the range of the given function is domain (-∞, ∞) and (-∞, ∞)

Domain and range of a function are the components or factors of a function. The domain is the set of all possible input values of x that can be used in the function. The range is the set of all possible output values of y that the function gives.

Given that, a function f(x) = -x+5,

Here, the domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation: (-∞, ∞)

The range is the set of all valid y values.

Interval Notation: (-∞, ∞)

Hence, the domain and the range of the given function is domain (-∞, ∞) and (-∞, ∞)

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The number of children who like both pistachio and chocolate ice cream is 73.

Here we have to find at least one kind of ice cream liked by the children.

It is given that the total number of children is 395. The number of children who don't like any ice cream is 170.

So we get the number of students who like one or both the ice cream is 395 - 170 = 225.

Here it is provided that 123 children like pistachio ice cream and 175 children like chocolate ice cream.

So the total number of children who like pistachio and chocolate ice cream is 175+ 123 = 298. Which cannot be greater than 225.

So the number of children who like both ice creams is 298 - 225 = 73.

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Step-by-step explanation:

3 x^2 - 15x - 108 = 0

divided by 3

x^2 - 5x - 36 = 0

factorice

(x= -9)(x= 4)=0

x=9 , x= -4

Answer:

-3 (x + 5x )(x + 36

Step-by-step explanation:

Given Data:

The diameter of the container is 3 inches.

The height of the container is 9 inches.

The area of base can be determined as,

Thus, option (i) is incorrect.

The volume can be determined as,

Thus, option (ii) is correct.

The volume of the container the the nearest tenth can be determine as,

Thus, option (iii) is correct.

Thus, only option (ii) and (iii) are correct.

Based on the information given, Ben Brenner should include $16,000 in income on his federal income tax return. This includes the $10,000 awarded in punitive damages, $5,000 in kickbacks on the sale of goods, and $1,000 increase in the value of an asset. The money borrowed from the bank is not considered income for tax purposes.

Based on the given information, Ben Brenner should include the following amounts in his income for his federal income tax return:

1. Jury awarded punitive damages: $10,000
2. Kickbacks on the sale of goods: $5,000

The money borrowed from the bank ($8,000) is not considered income, and the increase in the value of an asset ($1,000) is also not taxable until the asset is sold.

So, the total amount to include in his income for the federal income tax return would be:

$10,000 (punitive damages) + $5,000 (kickbacks) = $15,000

Therefore, the correct answer is option a. $15,000

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Answer:

(4x^5)^2 you just need to square 4x^5

Answer:

Step-by-step explanation:

one side = 4x^5

four sides of the square= (4x^5)^2

= (4x^5)* (4x^5)

=16x^10

Answer:

Sorry about the person above. The answer would be:

C. \(3x + 2y = 22\) and \(5x + 2y = 39\)

Explanation:

I just did the test.

Answer:

C

Step-by-step explanation:

Answer:

y = -2/1x+8

Step-by-step explanation:

slope is -2/1

intercepts y at 8

Answer:

( x + 4 ) ( x + 1 )

Step-by-step explanation:

x² + 5x + 4

= x² + 1x + 4x + 4

= x ( x + 1 ) + 4 ( x + 1 )

= ( x + 4 ) ( x + 1 )

Hence, factorised.

The task is to derive and solve the system of equations for the nodes and weights of the Le quadrature rule on the interval (-1, 1) using four nodes, with t1 = -1 and ta = 1 given, and t2 and t3 chosen optimally to minimize.

To determine the nodes and weights for thecon the interval (-1, 1) with four nodes, we need to solve a system of equations.

Given t1 = -1 and ta = 1, and with t2 and t3 chosen optimally, we aim to minimize the error by obtaining an equation involving 1 + t that does not contain the weights w or w2.

The system of equations will involve the weights and the nodes, and solving it will provide the specific values for t2, t3, w1, w2, w3, and w4.

The optimality condition ensures that the chosen nodes and weights provide accurate approximations for integrating functions over the interval (-1, 1).

By solving the system of equations, we can obtain the exact values of the nodes and weights, achieving the desired equation involving 1 + t.

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Answers:

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

Explanations:

8) Positive r values always go with positive regression slopes. The r value will likely not equal the slope, but they share the same sign.

------------------------------

9) The data set isn't given so I'm not sure. But it seems like your teacher just wants to know a hypothetical situation in which r value will produce the best fit. That would be r = -0.95 since we're the furthest from zero. The closer you are to r = 1 or r = -1, the better the fit.

------------------------------

10) The blue regression line, aka line of best fit, is fairly close to all of the data points. Also, the blue line has a positive slope. This means r is fairly close to 1. So that's why we go with r = 0.9

------------------------------

11) The general equation is y = mx+b. We simply replace x,y with x1,y1.

------------------------------

12) When considering y = mx+b, the m is the slope. I'm not entirely sure where the m comes from, but I've read some sources that say 'm' somehow represents 'mountain' which involves slopes. This could have simply been a memorization tool and not the actual reason why m was chosen to be the slope.

As an example, y = 2x+5 has slope 2.

------------------------------

13) The b in y = mx+b is the y intercept. It's the initial value.

It always occurs when x = 0 since

y = mx+b

y = m*0+b

y = b

Meaning the point (0,b) is the location of the y intercept.

For example, y = 2x+5 has y intercept 5 located at the point (0,5).

This means that for employees who have worked for less than 4.84 years, 123 Corp.'s plan for raises is better than XYZ Inc.'s plan.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

For XYZ Inc., the function f(x) = 35000 + 650x models the raise an employee will receive each year.

The parameter 35000 represents the starting salary, which is the amount an employee would receive if they had just started working at the company with zero years of experience.

The parameter 650 represents the amount of the raise an employee will receive for each additional year of experience they have.

For 123 Corp., the function g(x) = 30000 + 200(1.45)X-1 models the raise an employee will receive each year.

The parameter 30000 represents the starting salary, which is the amount an employee would receive if they had just started working at the company with zero years of experience.

The parameter 200 represents the base amount of the raise an employee will receive each year, and 1.45 represents the rate of increase in the raise for each additional year of experience they have.

To determine when XYZ Inc. has a better plan for raises than 123 Corp., we need to compare the values of f(x) and g(x) for different values of x. We can do this by setting the two functions equal to each other and solving for x:

35000 + 650x = 30000 + 200(1.45)x-1

Simplifying and solving for x, we get:

x > 4.84

This means that for employees who have worked for more than 4.84 years, XYZ Inc.'s plan for raises is better than 123 Corp.'s plan.

To determine when 123 Corp. has a better plan for raises than XYZ Inc., we can similarly compare the values of f(x) and g(x) for different values of x. We can set the two functions equal to each other and solve for x:

35000 + 650x = 30000 + 200(1.45)x-1

Simplifying and solving for x, we get:

x < 4.84

This means that for employees who have worked for less than 4.84 years, 123 Corp.'s plan for raises is better than XYZ Inc.'s plan.

employees may prefer one plan over the other depending on their individual circumstances.

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Answer:

-10( If both the signs are same, both are added with their respective sign)

Step-by-step explanation:

-6-4

=-(6+4)

=-10

Answer:

Step-by-step explanation

For the time, call f(x) = y

Interchange x and y

y = 2x - 12

x = 2y - 12  

Add 12 to both sides

x + 12 = 2y

Divide both sides by 2

x/2 + 12/2 = y

x/2 + 6 = y

x/2 + 6 = h(x)

Nothing I'm getting looks like what you've given us. Perhaps this is a different question?

Answer:

im sorry

Step-by-step explanation:

i dont know how

i am also doin triangles tho

A function is a function that represents the area under a curve. In this case, f is the curve being considered. The function a(x) represents the area under the curve of f from x=0 up to x.

So, if we want to find the area under the curve of f from x=0 up to x=3, we would evaluate a(3) - a(0). This would give us the total area under the curve of f from x=0 to x=3. Similarly, if we have another area function, say b(x), that represents the area under the curve of f from some other starting point (e.g. from x=1), we would use b(x) to find the area under the curve of f from x=1 up to some other x value.
The graph of f, displayed in the figure to the right, represents a function that can be analyzed using various mathematical concepts. In this case, we can consider two area functions for f, denoted as A(x) and B(x), which would allow us to evaluate the areas under the curve of the graph with respect to the x-axis. These area functions can be used to understand properties and behaviors of the function f in different regions of the graph.

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Answer:

Decide if the evidence supports the claim well enough to convince most readers that it's true

Step-by-step explanation: I just took the test with that in it

The true statements about the graph y = 4x2 + 28x + 49 are as follows;

(b) The equation 2x + 7 = 0 can be used to find a zero of the function.

(d) The graph has a double root at x = -7/2.

(e) The graph intersects the y-axis at y = 49.

The graph of a function f is the graph of the equation y = f (x).

The function is given as:

\(\rm y = 4x^2 + 28x + 49\)

Express 28x and 14x + 14x; so, we have:

\(\rm y = 4x^2 + 14x+14x + 49\)

Factorize

\(\rm y = 4x^2 + 14x+14x + 49\\\\y = 2x(2x+7)+7(2x+7)\\\\y=(2x+7)(2x+7)\)

Express as a perfect square

\(\rm y = (2x+7)^2\)

This means that the graph of the equation has a double root.

It also means that 2x + 7 = 0 can be used to determine the root/zero of the function.

Substitute 0 for x in to determine the y-intercept

\(\rm y = (2x+7)^2\\\\\rm y = (2(0)+7)^2\\\\\rm y = (0+7)^2\\\\y=49\)

This means that the graph intersects with the y-axis at y = 49

Hence, the true statements are (b), (d), and (e)

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Answer:

b,d, and ,e

Step-by-step explanation:

trust i just did it