Which of the following data sets is best described by a linear model

Answer:

The price of a stock decreased by 60 cents one week, decreased 10 cents the next week, and decreased another 20 cents the following week. What is the average change in the price of the stock over the three weeks?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given: Point (10, 7)

Slope is undefined

Find: Equation of line through given point

Plan: Slope = Rise/Run is undefined if Run = 0. Since you can’t divide by 0. This is, therefore, a vertical line.

Answer: Vertical Line: x = 10 (A line with only Rise)

Based on the line of best fit, the predicted price for the seller's house with a size of 2100 square feet is approximately $205.88.

In the given scenario, the seller has a house that is 2100 square feet. The line of best fit for the neighborhood comps is expressed as y = 0.074x + 50.48. Here, "x" represents the square footage of a house, and "y" represents the predicted price based on the square footage.

To determine the predicted price of the seller's house, we substitute the square footage (x) with 2100 in the equation:

y = 0.074 * 2100 + 50.48

Calculating the expression, we have:

y = 155.4 + 50.48

y = 205.88

Hence, the predicted price for the seller's house, based on the line of best fit, is approximately $205.88.

It's important to note that the line of best fit is derived from neighborhood comps and may not perfectly predict the actual price of the seller's house. It serves as an estimation based on the trend observed in the neighborhood.

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The total amount Mr Jones paid for the company is 32 * 10^6

The problem is solved using the formula of profit percent

= profit / cost price * 100

60 = profit / 8 *10^7 *100

60 * 8 * 10^7 / 100 = profit

profit = 48 * 10^6

Also from the formula for profit we get the selling price which is the amount Mr Jones bought the company

Profit = selling price - cost price

cost price = selling price - profit

cost price = 8 * 10^7 - 48 * 10^6

cost price = 32 * 10^6

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In the given equation, amplitude (A) is equal to M. The value of ω is 2π/ T and φ is 2πN/T.

Here, we are given a function as follows-

x = Acos (ωt + φ)

where A is the amplitude

Part A)

from the graph, we can see that amplitude A = M

Thus, A in the equation will be equal to M

Part B)

we know that angular frequency will be calculated as-

ω = 2π/ T

thus, here we'll have ω = 2π/ T

Part C)

Now, Phase is represented by φ = 2πN/T in rad as N and T are in seconds

Thus, in the given equation, A = M, ω = 2π/ T and φ = 2πN/T

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Your question was incomplete. Check for full content in the figure below.

The inverse of the function → f(x) = 2x + 5  is → f⁻¹(x) = (x/2) - (5/2).

Inverse of a function can be calculated by following the steps mentioned below -

According to the question, the equation given is as follows

y = f(x) = 2x + 5

y = 2x + 5

Replace 'y' with 'x', we get -

x = 2y + 5

Now, solve for y -

2y = x - 5

y = (x/2) - (5/2)

Replace 'y' with f⁻¹(x) -

f⁻¹(x) = (x/2) - (5/2)

Hence, the inverse of the function → f(x) = 2x + 5  is → f⁻¹(x) = (x/2) - (5/2).

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The probability that the hacker guesses the password on their first try is extremely low.

What is the probability that the hacker guesses the password on his first try?

There are 26 lowercase letters, 26 uppercase letters, and 10 numerical digits, for a total of 62 possible characters for each position in the password. Since the password is 9 characters long, there are \(62^{9}\) possible passwords.

The probability that the hacker guesses the password on their first try is 1 out of the total number of possible passwords:

Probability = 1 / (\(62^{9}\))

Using a calculator, this can be simplified to approximately 1.2 x \(10^{-16}\)

Therefore, the probability that the hacker guesses the password on their first try is extremely low.

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Answer:

4/9

Step-by-step explanation:

Solve.

Hope I helped!

The first step in evaluating the expression 3x{9-(4+2)/2 is to simplify the innermost parentheses. By performing operations within parentheses first, we can simplify the expression and make it easier to evaluate.

To begin, we evaluate the expression within the parentheses (4+2), which equals 6. Thus, the original expression becomes 3x{9-6/2}.

The next step is to simplify the division operation. We divide 6 by 2, resulting in 3. Now the expression becomes 3x{9-3}.

The subsequent step is to simplify the subtraction operation. We subtract 3 from 9, giving us 6. The expression now becomes 3x6.

Finally, we multiply 3 by 6, yielding a final result of 18. Therefore, the evaluation of the expression 3x{9-(4+2)/2 is equal to 18.

By simplifying the parentheses, performing the division, and evaluating the subtraction, we systematically reduce the expression to its simplest form. Following the order of operations (also known as PEMDAS or BODMAS), which prioritizes parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right), ensures an accurate evaluation of the expression.

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The value of measure of x in the triangle is,

⇒ x = 4√3 units

We have to given that,

A triangle is shown in image.

Now, WE can formulate by trigonometry formula we get;

⇒ tan 30° = Opposite / Base

⇒ tan 30° = 4 / x

⇒ 1/√3 = 4/x

⇒ x = 4√3 units

Thus, The value of measure of x in the triangle is,

⇒ x = 4√3 units

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Answer:

2 3/4 Gallons

Step-by-step explanation:

4 1/2-1 3/4= 2 3/4

Convert 4 1/2 to 4 2/4 then subtract and you will get 2 3/4

Answer:

3/3

Step-by-step explanation:

here ya go

The slope of the equation is 0.50 and it interprets the additional price per minute of usage.

A cafe charges an initial fee to use the computer and then an additional price per minute of usage.

An equation representing the total cost of using a computer for t minutes at the internet cafe is given by:

C = 9 + 0.50 t

Initial fee = 9 and C = total cost and t = time usage.

What is a slope of an equation?

The process of determining the rate of change of a dependent variable

when the independent variable change is called the slope of an equation.

We can find the slope by differentiating the dependent variable with respect to the independent variable.

Slope = dy / dx

Where y =  independent variable and x = dependent variable.

The given equation :

C=9+0.50t

C = dependent variable and t = independent variable.

Differentiating C with respect to t

we have,

dC / dt = d9 / dt + 0.50 dt / dt

dC / dt = 0 + 0.50.        Where  \(\frac{d}{dy} constant = 0\)

dC / dt = 0.50

Slope = 0.50

Interpretation of the slope = 0.50.

The slope = 0.50 means that the additonal price per minute of usage is 0.50.

For,

t = 1, C = 9 + 0.50 = 9.5

t = 2, C = 9 + 0.50 x 2 = 9 + 1 = 10

t = 3, C = 9 + 0.50 x 3 = 9 + 1.50 = 10.50

t = 4, C = 9 + 0.50 x 4 = 9 + 2 = 11.

10 - 9.5 = 0.50

10.50 - 10 = 0.50

11 - 10.50 = 0.50

We see that the rate of change is constant which means it is 0.50 price per minute of usage.

Thus the slope of the equation is 0.50 and it interprets the additional price per minute of usage.

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Definition :-

When many plain surfaces combine eachother yielding staright edges ,sharp vertices is called polyhedron .

#1

Yes

#2

No

It has circular shapes ,no sharp edges

#3

No

#4

Yes

Hexgonal pyramid

Determine: whether the solid is a polyhedron If it is, name the polyhedron. If not, write no

1. CUBE

2. CYLINDER

3. CONE

4. HEXAGONAL PYRAMID

example of Polyhedron

example of Non Polyhedron

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Answer:

x=3, x=-2, x=4

Step-by-step explanation:

You can tell because the x is just going to be the additive inverse of the already given number. I hope this helps!

Step-by-step explanation:

(x-3)(x^2+2x+1)

=x^3-3x^2+2x^2-6x+x-3

=x^3+2x^2-3x^2-6x+x-3

=x^3-x^2-5x-3

___________

Answer:

0.1056 = 10.56% probability that their average salary is more than $77,500.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean $75,000 and standard deviation $8,000.

This means that \(\mu = 75000, \sigma = 8000\)

Sample of 16

This means that \(n = 16, s = \frac{8000}{\sqrt{16}} = 2000\)

What is the probability that their average salary is more than $77,500?

This is 1 subtracted by the pvalue of Z when X = 77500. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{77500 - 75000}{2000}\)

\(Z = 1.25\)

\(Z = 1.25\) has a pvalue of 0.8944

1 - 0.8944 = 0.1056

0.1056 = 10.56% probability that their average salary is more than $77,500.

Answer:

(4,0)

Step-by-step explanation:

You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!

The slope-intercept equation of the line with a slope of 8 and a y-intercept of (0, 9) is y = 8x + 9.

To find the slope-intercept equation of a line, we use the form y = mx + b, where m represents the slope and b represents the y-intercept.

Given:

Slope (m) = 8

Y-intercept (0, 9)

We can substitute these values into the slope-intercept form:

y = mx + b

y = 8x + 9

Consequently, y = 8x + 9 represents the slope-intercept equation for the line with a slope of 8 and a y-intercept of (0, 9).

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Answer:

3:7

Step-by-step explanation:

Let x = pounds of the $10 rice in the mixture

Let y = pounds of the $30 rice in the mixture

Total cost of the $10 rice = 10x

Total cost of the $30 rice = 30y

(10x + 30y) / (x + y) = 24

Solve this equation for y/x:

10x + 30y = 24(x + y)

10x + 30y = 24x + 24y

30y - 24y = 24x - 10x

6y = 14x

y/x = 6/14  simplify the fraction

y/x = 3/7

So, the ratio of the two different types of rice (y:x) is 3:7, meaning a pound of the rice mixture has 3 parts of the $30 rice to 7 parts of the $10 rice.

Answer:

y = -2 x

Step-by-step explanation:

Answer:

y = -2x

Step-by-step explanation:

The slope is -2 because the line has a run of 1 and a rise of -2, and slope is rise over run. -2/1 = -2. In this problem the y intercept is 0, so you could write y = -2x + 0, but you don't technically need it. y = -2x.

The length of the remaining piece after four shelves have been cut from the 16 feet board is 1 foot.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that each board is 3 ¾ feet and Max makes four shelves. The length of the remaining board will be calculated as,

Length =  16 - ( 4 x 3 ¾ )

Length = 16 - ( 4 x15/4 )

Length = 16 - 15

Length = 1 foot

Therefore, the length of the remaining piece after four shelves have been cut from the 16 feet board is 1 foot.

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Answer:

3x+12y=0

Step-by-step explanation:

x+2x=3x

5y+7y=12y

-3+3=0

Answer:

13/9l  or 1  4/9 l

Step-by-step explanation:

Answer:

quantity of alcohol = l liters

we need to make a solution of having 45% alcohol by adding water.

45% alcohol means whatever id the total quantity of solution there is 45% alcohol.

Let the total quantity of solution be x.(

then

quantity of alcohol in terms of x = 45% of x = 45/100 x

but we know that quantity of alcohol = l liters

45/100 x = l

x = 100/45 l

Thus, total quantity of solution is 100/45 l,

but in it, there are l liters of alcohol.

to find the quantity of water we need to subtract the quantity of alcohol from the total quantity of solution

quantity of water in the solution = 100l/45  - l = (100l - 45l)/45 = 65l/45

quantity of water in the solution = 13/9l = 1 4/9 l -------->answer.

Thus, 1 4/9 liters of water needs to be added to l liters of alcohol to make a solution of 45% alcohol.

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Given: The type and number of fish caught in the Charleston Harbor in March was recorded for a month

To Determine: The probability that the next fish caught is a Drum or Bluefish

Solution

Calculate the total number of fish caught

It can be observed that we have two types of drum, red drum and black drum. The probability that the next fish caught is a drum or blue fish would be

Probability of red drum or black drum or blue fish

Note that

Therefore, the probability hat the next fish caught is a drum or blue fish would be

So,

Hence, the probability hat the next fish caught is a drum or blue fish is 823/1263 or 0.6516

Answer:

\(\angle n=69^o\)

which agrees with answer C in your list of possible options.

Step-by-step explanation:

Notice that you have a triangle defined by the three intersecting lines, and for which you know the internal angles, since you can use supplementary angle properties as well as the property of addition of all internal angles of a triangle. Please see attached image.

Notice that the angles noted in green are those that were obtained via supplementary angle calculation, while the angle noted on orange was obtained using the addition of all internal angles of a triangle.

\(180^o-131^o=49^o\\180^o-160^o=20^o\\180^o-49^o-20^o=111^o\)

\(\angle n\) can then be obtained based on supplementary angles as well;

\(\angle n=180^o-111^o=69^o\)

9514 1404 393

Answer:

 14

Step-by-step explanation:

  \(7\log_7(49)=7\log_7(7^2)=7\cdot2=\boxed{14}\)

Answer:

The groups are round shapes, triangles, quadrilaterals, pentagons, and hexagons.

Step-by-step explanation:

The groups are round shapes, triangles, quadrilaterals, pentagons, and hexagons.

Answer:6

Step-by-step explanation:

The original number that was multiply by 5 instead of 3 is 6.

The equation that can be used to represent the informatioin in the question is:

5x - 3x = 12

Where x is the original number

In order to determine the value of x, take the following steps

Combine similar terms: 2x = 12

Divide both sides by 2

x = 6

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