(1 point) What constant would be added to the expression \( x^{2}-9 x \) in order to make it a perfect square? Answer:

Discrete-data is a category of quantitative information that has countable or finite values.

This indicates that there are no intermediate values between the precise numerical values that can be used to convey the data; only those values can be used. The number of siblings a person has, the number of pets a home has, and the number of individuals in a room are all examples of discrete data.

Numerous statistical methods, such as measures of central tendency like the mean, median, and mode, as well as measures of dispersion like range and standard deviation, can be used to analyse discrete data. Additionally, discrete data can be displayed graphically using tools like bar charts and frequency histograms.

A discrete data set is the number of stories in a skyscraper in Manhattan. A continuous data set, on the other hand, can be divided into ever-smaller pieces and can take on any value within a range. Therefore (b), "A discrete data set because the possible values can be counted."

To know more about Discrete-data visit:

https://brainly.com/question/13421250

#SPJ4

A specific numerical value for a population parameter is called a point estimate.

The correct answer is option B.

When we want to estimate an unknown population parameter, such as the population mean or population proportion, we use sample data to calculate a point estimate. This point estimate is a single value that represents our best guess or approximation of the true population parameter.

For example, if we want to estimate the average height of all adults in a certain city, we can collect a sample of heights from a random sample of individuals and calculate the sample mean. This sample mean would be our point estimate for the population mean height.

Point estimates are calculated using different statistical formulas based on the type of parameter being estimated. For instance, when estimating a population mean, we use the sample mean as the point estimate. Similarly, when estimating a population proportion, we use the sample proportion as the point estimate.

It's important to note that point estimates are subject to sampling variability and may not exactly equal the true population parameter. To account for this uncertainty, interval estimates are often used, which provide a range of values within which the true population parameter is likely to fall.

For more such information on: population parameter

https://brainly.com/question/28175212

#SPJ8

The question probable may be:

What do we call a specific numerical value for a population parameter?

A. Interval estimates

B. Point estimates

C. t statistic

D. z statistics    

Answer:

the slope of W is less than the slope of Z

Step-by-step explanation:

Function Z

find slope take two points (0,15.8)  (1,15.76)

m=y2-y1/x2-x1

m=(15.76-15.8)/1-0

m=-0.04

the equation for function z : y=-0.04x+15.8

slope of W=-0.0625 which is less than -0.04

y intercept pf W=30, is greater than the y intercept of Z=15.8

Answer: The first statement is true.

Step-by-step explanation: The slope of function Z is -0.04 or - 1/25 The slope of function W is -0.0625 or -1/16.

Tricky! The absolute values of W are larger, but that makes the slope more negative.

Answer:

Can you help me? It's worth one hundred points. https://brainly.com/question/21042823

Step-by-step explanation:

2.38095238095

Answer:

  height = 2/5h

Step-by-step explanation:

You want the height of a frustum if the volume of the frustum is 98/125 times the volume of the original cone, which was of height h.

Let h' represent the height of the part of the cone that is removed to leave the frustum. Then its volume (v') is ...

  v' = (volume of large cone)(1 - 98/125) = v·(27/125)

The scale factor between h' and h is ...

  (h'/h)³ = v'/v = 27/125

  h'/h = ∛(27/125) = 3/5

The height of the frustum in terms of the height of the original cone is ...

  frustum height = (height of large cone) - (height of small cone)

  frustum height = h - (3/5)h

  frustum height = 2/5h

<95141404393>

Answer:

26.

Step-by-step explanation:

Answer:26

Step-by-step explanation:

65/5*2

65/5

13

13*2

26

Answer:

R and Z

Step-by-step explanation:

A point that "touches" the circle once.

The polynomial expressions organized from least to greatest based on their degree are as follows: 1.Constant term 2.Linear term 3.Quadratic term 4.Cubic term 5.Higher degree terms (if present)

Constant term (degree 0): This is a polynomial with no variables, such as 5 or -2.

Linear term (degree 1): This is a polynomial with one variable raised to the first power, such as 3x or -2y.

Quadratic term (degree 2): This is a polynomial with one variable raised to the second power, such as 4x² or -3y².

Cubic term (degree 3): This is a polynomial with one variable raised to the third power, such as 2x³ or -5y³.

Higher degree terms: These include polynomials with variables raised to powers greater than 3, such as 2x⁴ or -6y⁵.

learn more about polynomial here:

https://brainly.com/question/11536910

#SPJ11

The covariance between the total scores X1 = X2 and Y1 + Y2 is 16.

a. To show that Cov(X, Y + Z) = Cov(X, Y) + Cov(X, Z), we need to use the properties of covariance.

The covariance between two random variables X and Y is defined as:

Cov(X, Y) = E[(X - E[X])(Y - E[Y])],

where E[X] represents the expected value of X.

Let's calculate Cov(X, Y + Z) using the definition of covariance:

Cov(X, Y + Z) = E[(X - E[X])(Y + Z - E[Y + Z])].

Expanding the expression:

Cov(X, Y + Z) = E[(X - E[X])(Y + Z - E[Y] - E[Z])].

Distributing the terms:

Cov(X, Y + Z) = E[(X - E[X])(Y - E[Y]) + (X - E[X])(Z - E[Z])].

Now, let's calculate Cov(X, Y) + Cov(X, Z):

Cov(X, Y) + Cov(X, Z) = E[(X - E[X])(Y - E[Y])] + E[(X - E[X])(Z - E[Z])].

Expanding and rearranging the terms:

Cov(X, Y) + Cov(X, Z) = E[(X - E[X])(Y - E[Y]) + (X - E[X])(Z - E[Z])].

As we can see, Cov(X, Y + Z) = Cov(X, Y) + Cov(X, Z).

Therefore, we have shown that Cov(X, Y + Z) = Cov(X, Y) + Cov(X, Z).

b. To find the covariance between the total scores X1 = X2 and Y1 + Y2, we can use the properties of covariance and the given covariances:

Cov(X1, Y1 + Y2) = Cov(X1, Y1) + Cov(X1, Y2) + Cov(X1, Y2) + Cov(X1, Y2).

Since Cov(X1, Y2) = Cov(X2, Y1), we can simplify the expression:

Cov(X1, Y1 + Y2) = Cov(X1, Y1) + Cov(X1, Y2) + Cov(X2, Y1) + Cov(X2, Y2).

Plugging in the given covariance values:

Cov(X1, Y1 + Y2) = 5 + 1 + 2 + 8 = 16.

Therefore, the covariance between the total scores X1 = X2 and Y1 + Y2 is 16.

To know more about covariance refer here:

https://brainly.com/question/2618552#

#SPJ11

Answer:

The independent Variable is Time, and the dependent variable is Distance

Step-by-step explanation:

Answer: $5

Step-by-step explanation: To calculate how much she spent on the 4 boxes of candy, we need to subtract 5 from 25, because we won't be including the cost of the magazine. So, therefore 25-5 is 20. So, now to find the cost for one, we need to set up a proportional relationship like this:

\(\frac{20}{4}\) = \(\frac{?}{1}\)

So, with that, we need to divide 4 by 20 to find the cost of 1. So, if you know, 20 divided by 4 = 5. So, therefore the cost of each candy box is $5. We can check our answer if we use the inverse operations, so our new equation would look like this:

5(4) + 5 = 25

We can check this, because we know 5 x 4 = 20, and 20 + 5 = 25. So 25 = 25, so it is $5.00

Answer:

2 + 6 + 2x + 6 > 74

x > 9

The polynomial expression which represents the value of the account at the end of three years is 1000x³ + 300x² + 500x

Interest earned per year, x = 1 + r

First year :

Year end balance = 1000 × x = 1000x

Second year :

Year end balance = (1000x + 300)x = 1000x² + 300x

Third year :

Year end balance = (1000x² + 300x + 500)x = 1000x³ + 300x² + 500x

Therefore, the expression which represents the value of the account at the end of three years is 1000x³ + 300x² + 500

Learn more :https://brainly.com/question/8882508

Answer:

8

Step-by-step explanation:

18-12

12-X

X=12*12/18

X=8mm

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

Explanation:

Angle BAC can be shortened to "angle A" since the letter A is in the middle.

Angle BCA can be shortened to "angle C" for similar reasoning.

We're told that angles A and C are base angles. For any isosceles triangle, the base angles are congruent

-----------

Let's use this fact to solve for x.

angle A = angle C

7x+1 = 5x+9

7x-5x = 9-1

2x = 8

x = 8/2

x = 4

Once we know what x is, we can find each base angle

Both angles A and C are 29 degrees each, so this confirms we have the correct x value.

-----------

The last step is to use the fact that all three angles of a triangle add to 180 degrees. This will help us find angle B, which is the vertex angle.

A+B+C = 180

29+B+29 = 180

B+58 = 180

B = 180-58

B = 122

The vertex angle is 122 degrees.  

So we can say either angle B = 122, or we could say angle ABC = 122

"angle ABC" is the same as "angle CBA".

Each box will contain 1 chocolate donut, 1 strawberry donut, and 1 caramel donut, there will be a Total of 4 boxes, and each box will contain 1 chocolate donut, 1 strawberry donut, and 1 caramel donut.

The number of boxes and the distribution of donuts in each box, we need to find the greatest common divisor (GCD) of the total number of chocolate, strawberry, and caramel donuts available. The GCD will represent the maximum number of donuts that can be included in each box.

First, let's find the GCD of 36, 27, and 18. By calculating the GCD, we can determine the maximum number of donuts that can be included in each box.

GCD(36, 27, 18) = 9

Therefore, the maximum number of donuts that can be included in each box is 9.

Next, we need to determine the number of boxes. To do this, we divide the total number of each donut type by the maximum number of donuts per box.

Number of boxes for chocolate donuts = 36 / 9 = 4 boxes

Number of boxes for strawberry donuts = 27 / 9 = 3 boxes

Number of boxes for caramel donuts = 18 / 9 = 2 boxes

Since each box contains the same total number of donuts, we can conclude that there will be 4 boxes with chocolate donuts, 3 boxes with strawberry donuts, and 2 boxes with caramel donuts.

To find the distribution of donuts in each box, we divide the maximum number of donuts per box by the GCD:

Distribution in each box: 9 = 1 × 9

Therefore, each box will contain 1 chocolate donut, 1 strawberry donut, and 1 caramel donut, there will be a total of 4 boxes, and each box will contain 1 chocolate donut, 1 strawberry donut, and 1 caramel donut.

For more questions on Total .

https://brainly.com/question/30612486

#SPJ8

The minimum value of the function f(x) =0. 9x2+3. 4x-2. 4 is -3.77 and its parabolic curve is upward because of its minimum value.

Let's consider the equation of a function.

f(x) = \(0.9x^{2} + 3.4x -2.4\)

Now, divide each and every element and assume that a, b, and c are coefficients of the function given.

a: 0.9

b: 3.4

c: -2.4

The sign of the coefficient of a determines the exposure of the parabola. Since a >  0, the parabola is open upwards and has a minimum value.

We can find the "x" of the vertex using the following expression.

x(v) = -b/2a = -3.4/(0.9)

x(v) = -3.77

We can find the "y" of the vertex by replacing this x in the equation

y(v) = 0.9(-3.77)² + 3.4(-3.77) -2.4

y(v)  = -2.42

The minimum value of the function is -3.77

To learn more about the minimum value of the function

https://brainly.com/question/13581879

#SPJ4

Answer:

Please dont delete

Explanation:

Hello. I am sorry that I can not answer your question but I am doing this so I can get answers of my own. I appreciate your understanding and I hope you get your answer soon. Good luck!

9514 1404 393

Answer:

Step-by-step explanation:

6 years from now, Johnson will be 12 years older than Agnes and twice her age. That means Agnes will be 12 and Johnson will be 24.

Agnes is 6 now, and Johnson is 18 now.

The Cartesian equation of the line that contains the points A and B, where A is the intersection point of the given plane with the x-axis and B is the intersection point with the z-axis, is x = 1 and z = 3.

To find the Cartesian equation of the line, we need to determine the values of x and z while allowing y to vary freely. Since point A lies on the x-axis, its y-coordinate is 0, so we have x = 1 and y = 0 for point A. Similarly, since point B lies on the z-axis, its y-coordinate is also 0, so we have z = 3 and y = 0 for point B.

Thus, the equation x = 1 represents the line that contains point A, and the equation z = 3 represents the line that contains point B. Since y can vary freely, we do not include it in the equations. Therefore, the Cartesian equation of the line that contains points A and B is x = 1 and z = 3.

to learn more about Cartesian equation click here:

brainly.com/question/27927590

#SPJ11

Answer:

0.03095

Step-by-step explanation:

         0.03095

200   6.19000

        -600

           1900

          -1800

             1000

            -1000

             0

Answer:

The answer is $102.

Step-by-step explanation:

The main question here is, what is the sale price of the wagon?

1. Let's compute for 15% of 120.

2. So now let us subtract 18 from 120.

Hope this helps and if you could mark this as brainliest. Thanks!

The required sale price of the wagon is $102. So the correct answer is an option (b).

The percentage is the ratio of the composition of value to the overall composition of value multiplied by 100.

Here, to calculate the sale price of the wagon, we need to find out the discount amount first, and then subtract it from the original price.

Discount amount = 15% of $120

= 0.15 x $120

= $18

Sale price = Original price - Discount amount

= $120 - $18

= $102

Therefore, the sale price of the wagon is $102. So the correct answer is an option (b).

Learn more about percentages here:

brainly.com/question/13450942

#SPJ6

Given:

The function is

\(f(x)=(x+3)^2(x-5)^6\)

To find:

The zeros of the given function.

Solution:

The general form of polynomial is

\(P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}\)       ...(i)

where, a is a constant, \(c_1,c_2,...,c_n\) are zeros of respective multiplicities \(m_1,m_2,...,m_n\).

We have,

\(f(x)=(x+3)^2(x-5)^6\)

On comparing this with (i), we get

\(c_1=-3,m_1=2\)

\(c_2=5,m_2=6\)

It means, -3 is a zero with multiplicity 2 and 5 is a zero with multiplicity 6.

Therefore, the correct option is B.

The dimensions of the poster are 17 inches by 4 inches.

Let's assume the width of the rectangular poster is represented by "x" inches.

According to the given information, the length of the poster is 9 more inches than two times its width. So, the length can be represented as 2x + 9 inches.

The area of a rectangle is given by the formula: Area = Length * Width.

Substituting the given values, we have:

68 = (2x + 9) * x

To solve this equation, we can start by simplifying the equation:

68 = 2x^2 + 9x

Rearranging the equation to bring all terms to one side, we get:

\(2x^2 + 9x - 68 = 0\)

To solve this quadratic equation, we can use factoring, completing the square, or the quadratic formula. In this case, factoring is not straightforward, so we can use the quadratic formula:

x = (-b ± √\((b^2 - 4ac\))) / (2a)

In the equation\(2x^2 + 9x - 68 = 0,\) the values of a, b, and c are:

a = 2

b = 9

c = -68

Substituting these values into the quadratic formula, we get:

x = (-9 ± √\((9^2 - 42(-68)))\) / (2*2)

Simplifying further:

x = (-9 ± √(81 + 544)) / 4

x = (-9 ± √625) / 4

x = (-9 ± 25) / 4

Now, we can calculate the two possible values for x:

x1 = (-9 + 25) / 4 = 16 / 4 = 4

x2 = (-9 - 25) / 4 = -34 / 4 = -8.5

Since the width cannot be negative, we discard the negative value of x.

Therefore, the width of the rectangular poster is 4 inches.

Now, we can calculate the length using the expression 2x + 9:

Length = 2(4) + 9 = 8 + 9 = 17 inches.

For more such questions on dimensions visit:

https://brainly.com/question/28107004

#SPJ8

False. The derivative of the function f(x) = 5sin(x) + cos(x) is not equal to -5cos(x) - sin(x). The correct derivative of f(x) can be obtained by applying the rules of differentiation.

To find the derivative, we differentiate each term separately. The derivative of 5sin(x) is obtained using the chain rule, which states that the derivative of sin(u) is cos(u) multiplied by the derivative of u. In this case, u = x, so the derivative of 5sin(x) is 5cos(x).

Similarly, the derivative of cos(x) is obtained as -sin(x) using the chain rule.

Therefore, the derivative of f(x) = 5sin(x) + cos(x) is:

f'(x) = 5cos(x) - sin(x).

This result shows that the derivative of f(x) is not equal to -5cos(x) - sin(x).

In summary, the statement that f'(x) = -5cos(x) - sin(x) is false. The correct derivative of f(x) = 5sin(x) + cos(x) is f'(x) = 5cos(x) - sin(x).

To learn more about derivative, click here: brainly.com/question/23819325

#SPJ11

Answer: To find the discount, simply multiply the original selling price by the %discount:

ie:  39 x 33/100= $12.87

So, the discount is $12.87.

Step-by-step explanation: To find the sale price, simply minus the discount from the original selling price:

ie: 39- 12. 87=  26.13

So, the sale price is $26.13

Work Shown:

y + 6 = -5(x + 3)

y + 6 = -5x - 15

y + 6 + 5x + 15 = 0

5x + y + 21 = 0

The equation is now in the form ax+by+c = 0 where a = 5, b = 1, c = 21.

Answer:

5x + y = -21

Step-by-step explanation:

y + 6 = -5x - 15

5x + y + 6 = -15

5x + y = -21

Answer:

D, 3/13 simplified from 12/52

Step-by-step explanation:

the reason that it would be 3/13 is because its simplified from 12/52, which is 12 of the possibly of face cards over 52 the amount of cards in the deck, so the possibility was 12/52, but simplified would be 3/13 ! love you !

                     BE SAFE !!!!                      HOPE THIS HELPS!!!!

                                              <3 <3 <3 <3 <3

The probability that the card drawn is a face card is 3/13.

Option D is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

There are 3 face cards.

Number of jack = 4

Number of queen = 4

Number of king = 4

Total number of cards = 52

The probability that the card drawn is Jack.

= 4/52

The probability that the card drawn is Queen.

= 4/52

The probability that the card drawn is King.

= 4/52

The probability that the card drawn is a face card.
= 4/52 + 4/52 + 4/52

= 3 x 4/52

=  3 x 1/13

= 3/13

Thus,

The probability that the card drawn is a face card is 3/13.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ2

Answer:

12

Step-by-step explanation:

-1(2x+3)(x+4)

open bracket

-2x-3=-3

-3(x-4)

-3x -4

12