Consider the discrete random variable X given in the table below. Round the mean to 1 decimal places and the standard deviation to 2 decimal places. 3 4 7 14 20 X P(X) 2 0.08 0.1 0.08 0.1 0.55 0.09 JL

The correct description that can made of these graphs is that (b) they have the same x- and y-intercepts.

From the question, we have the following parameters that can be used in our computation:

Exponential function f(x)

(-1, 7), (1, 2), (10, -1), (3, 0) (0, 4)

The function g(x)

x -1 0 1 2 3

g(x) 24 4 0

The y-intercept of the functions are

f(0) = 4

g(0) = 4

The x-intercept of the functions are

f(3) = 0

g(3) = 0

Hence statement B is correct. They have the same x- and y-intercepts.

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To eliminate the x variable from the given system of equations, we can multiply the first equation by −3, then add the two equations. This will give us a new equation in terms of y, which we can solve for y. Once we have the value of y, we can substitute it into either of the two original equations to get the value of x.

Given the system of equations:2x − 3y = −117x − 2y = −5We want to eliminate the x variable from these equations. One way to do this is to use the elimination method. We can eliminate one of the variables by adding or subtracting the two equations so that the coefficient of one variable is the same but the opposite signs are used. In this case, we can eliminate the x variable by multiplying the first equation by −3 and then adding the two equations:−

6x + 9y = 3511x − 2y = −5Adding these two equations gives us:5x + 7y = 30Now we have an equation in terms of y only. We can solve for y by isolating it on one side of the equation:

5x + 7y = 30⇔ 7y = −5x + 30⇔ y = −(5/7)x + (30/7)Now that we have the value of y, we can substitute it into one of the two original equations to get the value of x. Let's use the first equation:

2x − 3y = −11⇔ 2x − 3(−(5/7)x + (30/7)) = −11⇔ 2x + (15/7)x − 30/7 = −11⇔ (29/7)x = (93/7)⇔ x = 3Thus, the solution to the system of equations is (x, y) = (3, 2).

To eliminate the x variable from a system of equations, we can use the elimination method. We can do this by adding or subtracting the two equations so that the coefficient of one variable is the same but the opposite signs are used. Once we have eliminated one variable, we can solve for the other variable.

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The correct option is cone and plane. A conic section is the intersection of a plane and a cone. The best definition of a conic section is "cone and plane".

The definition of conic section is a conic section is a shape that is formed when a right circular cone intersects a plane. Depending on the angle of the plane concerning the center line of the cone, the conic sections are classified into four types. They are a circle, parabola, ellipse, and hyperbola. Each type of conic section has a unique shape and properties.

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Using the normal distribution, the probability that a worker selected at random makes between $500 and $550 is: 2.15%.

The z-score of a measure X of a normally distributed variable with mean mu and standard deviation sigma is given by:

Z = (X - mu)/sigma

The mean and the standard deviation are given as follows:

mu = 400, sigma = 50

The probability is the p-value of Z when X = 550 subtracted by the p-value of Z when X = 500, hence:

X = 550:

Z = (X - mu)/sigma

Z = (550 - 400)/50

Z = 3

Z = 3 has a p-value of 0.9987.

X = 500:

Z = (X - mu)/sigma

Z = (500 - 400)/50

Z = 2

Z = 2 has a p-value of 0.9772.

0.9987 - 0.9772 = 0.0215 = 2.15% probability.

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a. Optimal solution: X1 = 140, X2 = 0, X3 = 80, Objective Function Value = 4700.000.

b. The first constraint (4X1 + 5X2 + 8X3 < 1200) is binding.

c. The dual price for the second constraint is 2.333, indicating that for each unit increase in its right-hand side value, the objective function value increases by 2.333.

d. The objective function coefficient of X2 can vary between 30 and 40 without changing the optimal solution

a. The complete optimal solution is:

X1 = 140

X2 = 0

X3 = 80

Objective Function Value = 4700.000

b. The first constraint (4X1 + 5X2 + 8X3 < 1200) is binding because it has a slack/surplus value of 0.

c. The dual price for the second constraint (9X1 + 15X2 + 3X3 < 1500) is 2.333. This means that for each unit increase in the right-hand side value of the second constraint, the objective function value will increase by 2.333 units, assuming all other variables and constraints remain constant.

d. The objective function coefficient of X2 can vary between 30 and 40 before a new solution point becomes optimal. This means that as long as the coefficient remains within this range, the current solution will still be optimal. However, if the coefficient of X2 goes below 30 or above 40, a new optimal solution may be obtained.

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Answer:

The expression equivalent to 8 - (6r + 2) is -6r + 6 ⇒ A

Step-by-step explanation:

Let us solve the question

∵ The expression is 8 - (6r + 2)

→ Multiply the bracket by (-)

∵ (-) × (+) = (-)

∴ 8 - (6r + 2) = 8 - 6r - 2

→ Add the like terms

∵ 8 - (6r + 2) = (8 - 2) - 6r

∴ 8 - (6r + 2) = 6 - 6r

→ Switch the terms

∴ 8 - (6r + 2) = -6r + 6

∴ The expression equivalent to 8 - (6r + 2) is -6r + 6

The correlation values 1 and -1 represent a perfect linear relationship between the two variables x and y.

Step to Step explanation:

Therefore, the perfect linear relationship between two variables x and y is given correlation value 1 and -1.

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Answer:

180 is whole mark me as brainliest

Step-by-step explanation:

The number of robberies reported in your city is a quantitative variable.

Quantitative variables are numerical in nature and represent quantities or amounts. They can be further classified as either discrete or continuous. In the case of the number of robberies reported, it is a discrete quantitative variable because it takes on a countable, whole number value. It represents a specific quantity or amount of robberies reported in the city, such as 0, 1, 2, and so on.

On the other hand, qualitative variables (also known as categorical variables) represent qualities or characteristics that do not have a numerical value. Examples of qualitative variables could be the type of crime (e.g., robbery, burglary, assault) or the color of a car (e.g., red, blue, green).

Therefore, the number of robberies reported in your city is a quantitative variable.

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Answer: The person above me is correct. Here is a picture if you still dont get it..

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

yooo cca

Step-by-step explanation:

Sequences

The distance in miles jogged by Eric in the week are shown below:

Mon: 3 1/4

Tue: 5 5/8

Wed: 8

The distances form a pattern which we will recognize below.

Let's compute the differences in the distance of each day with respect to the previous day:

Converting each mixed fraction into improper fractions:

The LCM of the denominators is 8, thus:

Now we find the same difference between the third and the fourth terms of the sequence:

Since both differences have the same value, the terms of the distances jogged by Eric form an arithmetic sequence. The general term of an arithmetic sequence is:

Where a1 is the first term, n is the number of the term, and r is the common difference.

We have the values a1=3 1/4= 13/4. r=19/8, thus the distance jogged by Eric on Friday (n=5) is:

Calculating:

The LCM of 2 and 4 is 4, thus:

Converting to mixed fraction:

Eric jogged 12 3/4 miles on Friday

The total amount paid for the bag is $32.47

A sales discount is a reduced price offered by a business on a product or service. Learn how to include discounts on invoices. A sales discount, also commonly known as just a 'discount' provides customers of a business with a reduced rate on one or more of the products or services being offered.

The price of the box is $49.95

45% of the box price = 45/100 × 49.95

= $22.48

10% of the the box price = 49.95×10/100

= $4.995

The total paid = 49.95-22.48 + 4.995

= $32.47

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The equation that isolates one of the variables is:

B =3A-5

To isolate one of the variables, we need to rearrange the equations so that the variable appears by itself on one side of the equation.

In the given equations:

1) 3A - B = 5

2) 2A - 3B = -4

To isolate variable B, we can start with equation 1 and add B to both sides:

3A - B + B = 5 + B

Simplifying, we have:

3A = 5 + B

Similarly, to isolate variable A, we can start with equation 2 and subtract 2A from both sides:

2A - 3B - 2A = -4 - 2A

Simplifying, we have:

-3B = -4 - 2A

Thus, the equation that isolates variable B is B = 3A-5. This equation allows us to express B solely in terms of A, with the variable B appearing alone on one side.

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the complete question is:

Which of the following equations isolates one of the variables (A or B) from the given system of equations:

1) 3A - B = 5

2) 2A + 3B = -4

a) 3B = -2A - 4

b) B = 5 - 3A

c) B = 3A - 5

d) 2A = -3B - 4

Which equation, among the options a) to d), expresses one of the variables (A or B) by itself on one side of the equation, following the guideline that isolating a variable is easiest when one of the equations has a coefficient of 1 for that variable?

The function f(x) = x² - 3x is not one-to-one.

To determine whether the function f(x) = x² - 3x is one-to-one, we need to examine whether it takes on the same value twice.

The function f(x) = x² - 3x is a quadratic function represented by a parabola. To find the roots of the function, we set f(x) equal to zero:

x² - 3x = 0

Factoring out x:

x(x - 3) = 0

From this, we find that the function has two roots: x = 0 and x = 3. These are the values of x for which f(x) equals zero.

Since the function has two distinct values of x that yield the same output of zero, we can conclude that it is not one-to-one.

A one-to-one function should never take on the same value twice, but in this case, we have multiple x values (0 and 3) that result in the same output (zero).

Therefore, the function f(x) = x² - 3x is not one-to-one.

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Answer:

y = 3/2x

Step-by-step explanation:

Answer:

b ≤ -200

( - ∞, -200]

Explanation:

We have to solve

for b.

Multiplying both sides by -10 reverses the direction of the inequality and gives

which simplifies to give

We plot the above on the number line.

The above plot tells us that all values of b less than or equal to -200 satisfies the inequality.

Using the interval notation, we write the interval as

Where parenthesis tells us that ∞ itself is not included in the interval, the bracket '[' tells us that -200 is included in the interval.

Answer:

3.) 0.894

Step-by-step explanation:

✔️First, find BD using Pythagorean Theorem:

BD² = BC² - DC²

BC = 17.89

DC = 16

Plug in the values

BD² = 17.89² - 16²

BD² = 64.0521

BD = √64.0521

BD = 8.0 (nearest tenth)

✔️Next, find AD using the right triangle altitude theorem:

BD = √(AD*DC)

Plug in the values into the equation

8 = √(AD*16)

Square both sides

8² = AD*16

64 = AD*16

Divide both sides by 16

4 = AD

AD = 4

✔️Find AB using Pythagorean Theorem:

AB = √(BD² + AD²)

AB = √(8² + 4²)

AB = √(64 + 16)

AB = √(80)

AB = 8.9 (nearest tenth)

✔️Find sin x using trigonometric ratio formula:

Reference angle = x

Opposite side = BD = 8

Hypotenuse = AB = 8.944

Thus:

\( sin(x) = \frac{opp}{hyp} = \frac{8}{8.944} = 0.894 \) (nearest thousandth)

Answer:

Hey! The correct answer is the third option, I just took the test and it was correct

Step-by-step explanation:

3.) 0.894

The claim is false Every year since 1992, the coffee business has added 250 new locations.

A mathematical function of the pattern f(x) = ax, where "a" is a positive number (referred to as the base) and "x" is the exponent, is an exponential function. Additionally, exponential functions can be expressed in the form f(x) = b(a)x, where "b" is a scale factor that can be used to move the graph up or down the y-axis. Exponential functions exhibit rapid development or decay with passage of time. The function expands exponentially when "a" exceeds 1, accelerating as "x" rises. The function decreases with increasing frequency when "a" is between 0 and 1, declining quickly as "x" rises.

given

Due to the opening of 100 shops after the first year.

The first and second years saw the opening of about 100 shops.

and roughly 200 shops opened between the second and third years, etc.

So, this is the wrong choice:

Every year since 1992, the coffee business has added 250 new locations.

The claim is false Every year since 1992, the coffee business has added 250 new locations.

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As per the ANOVA test, the step that could be taken to check the nearly normal condition is there should be a funnel shape in the Residual vs. x Plot. (option c).

ANOVA tests, which stands for Analysis of Variance tests, are statistical tools used to determine whether there are any significant differences between the means of two or more groups.

There are several steps that can be taken to check the nearly normal condition in ANOVA tests. One way is to examine the histogram of each group (level).

In addition to examining the histogram and boxplots, it is also important to check the Residual vs. x Plot. The residuals are the differences between the observed values and the predicted values from the model.

The Residual vs. x Plot displays the residuals on the y-axis and the x-values on the x-axis. In a nearly normal condition, the residuals should be randomly scattered around the x-axis without any pattern.

A funnel shape in the Residual vs. x Plot can indicate that the variance of the data is not constant across the x-axis and may suggest that the data is not normally distributed.

Hence the correct option is (c).

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Complete Question;

In One Way ANOVA Tests, which steps could be taken to check the nearly normal condition?

(There maybe more than one correct answer.)

Group of answer choices

a) Check the histogram of each group (level).

b) Check the boxplots of each group (level).

c) There should be a funnel shape in the Residual vs. x Plot

Answer:

Step-by-step explanation:

what is the question>

The system of equations with no solutions is the second one:

3x - 7y = 22

4.5x - 10.5y = 44

When we have a system of linear equations, the only case where the system has no solutions is when both of the lines are parallel lines (thus, the lines never intercept).

So we need to identify the system of linear equations where the lines are parallel.

If you look at the second system of equations, we have:

3x - 7y = 22

4.5x - 10.5y = 44

We can multiply the first equation by 1.5 to get:

1.5*(3x - 7y) = 1.5*22

4.5x - 10.5y = 33

Then the system is:

4.5x - 10.5y = 33

4.5x - 10.5y = 44

We can see that these lines are parallel,and thus, this system has no solutions.

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The dunking booth is the shape of a cube represented below (x+3). Therefore, the polynomial of volume of the dunking booth is

                                            (x +3) (x+3)².

Lets talk about the cube prism

- It has cube faces each two opposite faces are congruent

- It has three dimensions.

- Its volume = a³

In our problem the dunking booth is a cube prism with dimensions:  x + 3

Side = x +3

therefore,

V = a³ = ( x +3)³

          = (x)³ + 3× (x)²× 3 + 3× x × (3)² + (3)³

          = x³ + 9x² + 27x + 27

Regrouping ,

          = x³+ 27+ 9x² + 27x

Rewrite 27as 33.

x³+ 3³+9x²+ 27x

Since both terms are perfect cubes, factor using the sum of cubes formula,

a³+b³ = (a + b)(a²- ab+ b²) where a=x and b=3.

(x+3)(x− x⋅3 + 32)+ 9x²+ 27x

Simplify.

     (x+3)(x²− 3x + 9)+ 9x²+ 27x

⇒  (x+3)(x²− 3x + 9)+ 9x(x+3)

Now,

x+3 out of  (x+3)(x²− 3x + 9)+ 9x(x+3) .

⇒ (x+3)(x²− 3x + 9 + 9x)

Add −3x and 9x.

(x+3) (x²+ 6x+ 9)

Rewrite the polynomial.

   (x+3)(x²+ 2⋅x⋅3+ 3²)

Factor using the perfect square trinomial rule a²+2ab+b² = (a + b)² , where a = x and b = 3.

                  (x+3)(x+3)².

Therefore, the polynomial is   (x+3)(x+3)².

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The correlation coefficient that indicates the weakest relationship is 0.34. This is because correlation coefficients range from -1 to 1, where values closer to -1 or 1 indicate a strong relationship, and values closer to 0 indicate a weak relationship.

The closer the correlation coefficient is to 0, the weaker the relationship between the two variables. In this case, the correlation coefficient of 0.34 is the closest to 0, indicating the weakest relationship. This is the main answer to your question. In conclusion, when interpreting correlation coefficients, it's important to keep in mind that values closer to 0 indicate weaker relationships between variables.

A correlation coefficient is a measure of the strength and direction of the relationship between two quantitative variables. The coefficient ranges from -1 to 1. A coefficient close to 1 indicates a strong positive relationship, while a coefficient close to -1 indicates a strong negative relationship. A correlation coefficient of 0 indicates no relationship between the two variables. In this case, the answer choices are 0.65, -0.65, 0.92, and 0.34. Since 0.34 is closest to 0, it represents the weakest relationship among the given options.

Among the provided correlation coefficients, 0.34 indicates the weakest relationship between two quantitative variables.

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Step-by-step explanation:

Find attached files

N is the greatest power so the 1st term always has the greatest power so n=4

By finding the 4th root of the 1st and the last term we can know easily a & b

Choosing negative sign between the 2 terms x and 7 because of the negatives found in the question since it would be positive if all terms of the expansion are positive

Answer:

Binomial: (x-7)

N=4

Step-by-step explanation:

Got it right on edge

Answer:

\(\boxed{\textsf{ The range of x is $\bf{ x \in \bigg( -\dfrac{5}{3},-\infty \bigg)}$. }}\)

Step-by-step explanation:

A linear inequality is given to us and we need to solve that inequality and represent it on the number line . So the given inequality to us is ,

\(\sf\implies 5-4x < 10 - x \qquad x \in Z \)

For the number line kindly refer to the attachment .

Taking the given inequality :-

\(\sf\implies 5-4x < 10-x \\\\\sf\implies -4x +x < 10 -5 \\\\\sf\implies -3x < 5 \\\\\sf\implies x <\dfrac{5}{-3}\\\\\sf\implies \boxed{\pink{\sf x < \dfrac{-5}{3} }}\)

This means that the value of x can be anything from -5/3 to -∞

\(\sf\implies\red{ x \in \bigg( -\dfrac{5}{3},-\infty \bigg)}\)