please help

The terms of a geometric sequence are −4, \(\frac{4}{3}\), \(-\frac{4}{9}\), \(\frac{4}{27}\). Please write the formula for the nth term an.

The F-distribution is used to test the significance of the population coefficient of determination (option D).

The coefficient of determination, denoted as R², measures the proportion of the variance in the dependent variable that is explained by the independent variables in a regression model. It ranges from 0 to 1, where 0 indicates no relationship and 1 indicates a perfect relationship.

To determine the significance of R², the F-distribution is used. The F-test compares the variation explained by the regression model (numerator) to the unexplained or residual variation (denominator). It calculates the F-statistic, which is the ratio of the two variances.

The F-distribution provides critical values that allow us to determine whether the observed F-statistic is statistically significant or not. By comparing the calculated F-value with the critical value from the F-distribution, we can assess whether the coefficient of determination is significantly different from zero, indicating the presence of a meaningful relationship between the variables. The correct option is d.

To know more about F-distribution:

https://brainly.com/question/14613023

#SPJ4

Answer:

83,900

Step-by-step explanation:

100/33560 = 250/x

There are 2 options to solve. You can cross multiply:

100x = 33560*250

100x = 8,390,000 Divide by 100

x = 83,900

I also see that you start with 100 naira and want to see the value at 250 naira.

250 is 2.5 times 100. If you take the original 33560 fr and multiply that by 2.5, you will get 83,900.

Answer:

rational number

Step-by-step explanation:

a rational number can be written as a/b where a and b are integers

23/17 = a/b where a = 23 and b = 17

This is a rational number

The surface area of the pyramid is approximately 721.04 square feet.

Area is a measure of the size of a two-dimensional region or surface, such as a rectangle, triangle, circle, or any other shape. It is the amount of space inside the boundaries of a closed figure, expressed in square units. The unit of measurement used for area depends on the context and the system of measurement being used, but some common units include square meters, square centimeters, square feet, and square inches.

To calculate the area of a regular shape, such as a square or rectangle, you can multiply the length of the base by the height or width of the shape. For more complex shapes, such as triangles or circles, different formulas can be used depending on the properties of the shape. Area is an important concept in geometry, as well as in many other areas of mathematics, science, engineering, and everyday life.

To find the surface area of the pyramid, we need to find the area of each face and add them up.

Since the base of the pyramid is a square, and the length of each side is 13 ft, the area of the base is:

Area of base = (13 ft) x (13 ft) = 169 sq ft

To find the area of each triangular face, we first need to find the slant height of the pyramid. The slant height is the distance from the apex of the pyramid to the midpoint of one of the sides of the base. We can use the Pythagorean theorem to find the slant height:

Slant height = √( (1/2 x 13 ft)² + 18 ft² )

= √( 169 ft² + 324 ft² )

= √493

≈ 22.18 ft

Now we can find the area of each triangular face using the formula:

Area of triangle = (1/2) x base x height

where the base is one of the sides of the square base, and the height is the slant height we just found. Therefore, the area of each triangular face is:

Area of triangle = (1/2) x 13 ft x 22.18 ft

≈ 143.01 sq f

Since there are four triangular faces, the total surface area of the pyramid is:

Total surface area = 4 x Area of triangle + Area of base

= 4 x 143.01 sq ft + 169 sq ft

≈ 721.04 sq ft

Therefore, the surface area of the pyramid is approximately 721.04 square feet.

To know more about pyramid visit:

https://brainly.com/question/16720917

#SPJ1

The will be A'(0, 20),  B'(20, 10) and  '(-10, 0). Transformation is the  of a point from its to a. Types of transformation are reflection, translation, rotation and dilation.

What is transformation?
When a function is transformed, the graph's curve either "moves to the left/right/up/down," "expands or compresses," or "reflects." For instance, by simply moving the graph of the function g(x) = x2 up by 3 units, the graph of the function f(x) = x2 + 3 is obtained. Function transformations are very useful for graphing functions without having to start from scratch because they allow you to move, expand, compress, or reflect the curve. In this article, we will examine the guidelines for function transformations as well as examples of how to transform various function types.

Let ABC be a   with coordinates A(0, 2), B(2, 1), C(-1, 0).

The coordinate of points A, B, C will change by below rule

(x, y)↔(10x, 10y)        

where 10 is the scale factor.

∴A(0, 2) ↔A'(0, 20)

B(2, 1) ↔B'(20, 10)

C(-1,0) ↔C'(-10, 0)

Hence,   will be A'(0, 20) ,B'(20, 10)  and C'(-10, 0)

To learn more about transformation
https://brainly.com/question/27895117
#SPJ9

The triangle's hypotenuse measures 17 cm in length.

Add the squares of the other sides, then take the square root to determine the hypotenuse. Subtract the squares of the other sides, then take the square root to determine the shorter side.

The right triangle shown in this diagram has legs that are 8 cm and 15 cm long and a hypotenuse that is x cm long.

The Pythagorean Theorem can be used to determine x's value:

x² = 8² + 15² x² = 64 + 225 \sx² = 289 \sx = √289 \sx = 17

As a result, the triangle's hypotenuse measures 17 cm in length.

To know more about Length of Hypotenuse visit:

https://brainly.com/question/16893462

#SPJ1

Answer: There will be 25 red roses and 20 pink roses.

Step-by-step explanation: If the ratio is 5 to 4 then we can add 5 and 4 together to get 9. 45 is divisible by 9. 9 goes into 45, 5 times. If we multiply 5 by 5 then it will be 25 which is 5/9 of 45. Then if we do the same thing but we multiply 4 times 5 then we will get 20 which is the other 4/9 of the ratio.

Answer:

10^2.

Step-by-step explanation:

100 is a perfect square of 10.

sqrt (100)

= 10.

Hope this helped!

Answer:

C. If the radius decreases, then the height must decrease

Answer:

There is no change

Step-by-step explanation:

Though the radius and height are perpendicular to one another, there is no actual relationship between their lengths.

At least that is what my math teacher tells me. So if it's wrong please blame her and not me.

Answer:

125

Step-by-step explanation:

Angles on a straight line =180

180- (35+20) =125

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

The two marked angles are a linear pair, so are supplementary.

  (8x -20)° +(8x +8)° = 180°

  16x -12 = 180 . . . . . . . . . . . divide by °, collect terms

  16x = 192 . . . . . . . . . . . add 12

  x = 12 . . . . . . . . . . . divide by 16

We specify the one-way anova model in the model statement of proc glm is model response variable; (the grouping variable is only specified in the class statement.)

So option b. is the correct option of the given statement.

Information that needs to be accessed and changed by a computer program is stored in variables. In order to make our programs more understandable to ourselves and the reader, they also offer a mechanism to label data with a descriptive name.

Values can be stored in variables. In order to use a variable, we must first declare it so the program is aware of it and then assign it so the program is aware of the value we are storing in the variable.

To know more about variables visit:

https://brainly.com/question/17344045

#SPJ4

Answer:

A

Step-by-step explanation:

Answer:

17. 1 = 2 = 45, 3 =135

18. 1 = 2 = 105.5

Step-by-step explanation:

17.

isosceles trapezoid properties:

Angle 1 = Angle 2

Angle 3 = 135

sum of the angles in any quadrilateral is 360

A1 + A2 + A3 + 135 = 360

A2 + A2 + 135 + 135 = 360

2A2 = 360 - 135 - 135

2A2 = 90

A2 = 90/2 = 45

So

A1 = A2 = 45

18.

Draw straight line from edge at 1 to edge at 2

Now you have two isosceles triangle

isosceles triangle properties:

angles opposite to equal sides are equal in measure

sum of the angles in any triangle is 180

refer photo for calcukation

We can rewrite the expression as the product of three factors as follows:

2k(2k+1)(2k+1)(2k+2)

None of the factors in this expression is a monomial, and none of them have a leading coefficient greater than 2.

If we expand the original expression, we get:

(4k³ + 6k² + 2k)(2k² + 2k + 1) = 8k⁵ + 16k⁴ + 14k³ + 6k² + 2k

If we expand the expression we factored, we get:

2k(2k+1)(2k+1)(2k+2) = 8k⁵ + 20k⁴ + 18k³ + 6k²

We can see that both expressions have the same first four terms, which means they are equivalent.

Read more about factorization here:

https://brainly.com/question/25829061

#SPJ1

Answer:

-25b + 30y + 5

Step-by-step explanation:

I hope this helps!

Answer:

y = -(2x+16) / 5

Step-by-step explanation:

2x + 5y = -16

5y = -2x - 16

y = (-2x - 16) / 5

y = -(2x+16) / 5

So on solving the provided question we can say  that  the importance of roots of polynomial equation because as the roots are the core of it. it helps in forming of that polynomial

A mathematical expression made up of coefficients and uncertainty that only makes use of additions, subtractions, multiplications, and positive integer powers of variables is known as a polynomial. The formula x2 4x + 7 denotes a single indeterminate x polynomial. An expression in mathematics known as a polynomial is made up of variables (also known as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. An algebraic statement with variables and coefficients is called a polynomial. An expression can only contain the operations addition, subtraction, multiplication, and non-negative integer exponents. Polynomials are the name for these expressions.

here,

the importance of roots of polynomial equation because as the roots are the core of it. it helps in forming of that polynomial

To know more about polynomials visit:

https://brainly.com/question/11536910

#SPJ4

Answer: \(- \frac{2}{3}\)

Step-by-step explanation:

So first, we re-arrange the equation of the line to make \(y\\\)  the subject:

\(3x - 2y = 6\\-2y = -3x + 6\\2y = 3x - 6\\= > y = 1.5x - 3\)

Now we have the line, we need to find the gradient of the line perpendicular to this line. To do this, we find the negative reciprocal of the gradient in \(y = 1.5x - 3\) .

The negative reciprocal is basically when you multiply both gradients, you will have -1. So, for example, \(3/5\) will become \(- 5/3\) .

So in this question, the gradient is \(3/2\). The negative reciprocal of that will be \(- 2/3\).

Answer:

Step-by-step explanation:

First you need to convert this equation from standard form to slope-intercept form. To do that, subtract 3x from both sides so now you have         2y= -3x+6. Now, divide everything by 2 and you have your slope and y-intercept. Now to answer your question, all you need to do to find the perpendicular slope is change the negative/positive.

Slope of the Line: 3/2x

Final Equation: y = 3/2x + 3

Thank you!

Answer:

the third option

Step-by-step explanation:

because the numbers down there are the coefficients of the top equations

Answer:

A rectangular prism would be best to model a suitcase

Step-by-step explanation:

Hope that helps!

Answer:

Rectangular Prism

Step-by-step explanation:

If you look at a suitcase, it resembles a rectangular prism quite well.

Answer:

The dependent variable for this case is the amount of money charged and the independent variable would be the number of cars washed.

And the reason why is because the dependnet variable is the variable of interest (money earned) and the independent the variable that controls the amount of money earned

Step-by-step explanation:

From the info given by the problem we know that the Math Club had a car wash to raise money for a competition. The members charged $10 for each car they washed.

The dependent variable for this case is the amount of money charged and the independent variable would be the number of cars washed.

And the reason why is because the dependnet variable is the variable of interest (money earned) and the independent the variable that controls the amount of money earned

Understanding a set’s nature or properties is made easier by its closure property

The set is closed if it has the closure property. This means that any operation performed on an element within a set will provide a result that belongs to that element’s set.

Why Closure Property is important?

Understanding a set’s nature or properties is made easier by its closure property. Mathematical applications of closure are numerous. Any operation that adheres to this condition is said to be “closed” or to have “fulfilled the operation’s closure property.”

Example – The set of even number is closed under subtraction

                   Even – Even = Even

                   6 – 4 = 2

To know more about Closure Property, visit the given link:

https://brainly.com/question/15198415

#SPJ4

Answer:

\( \dfrac{2x}{x + 7} \)

Step-by-step explanation:

\( \dfrac{4x^2 - 16x}{2x^2 + 6x - 56} = \)

Factor the numerator and denominator.

\(= \dfrac{4x(x - 4)}{2(x^2 + 3x - 28)}\)

\(= \dfrac{4x(x - 4)}{2(x + 7)(x - 4)}\)

\( = \dfrac{2x}{x + 7} \)

Answer:

• 85% protein supplement: 480 pounds

• 60% protein ration: 720 pounds

Explanation:

Let the number of pounds of 85% protein supplement required = x

The farmer wants to make 1200 pounds (of a high-grade 70% protein ration).

Therefore, the number of pounds of 60% protein ration required = (1200-x) lbs

First, we add the constituents we are mixing together.

The final protein ration we want to obtain:

Equate both:

Then solve the equation for x.

The number of pounds of the 85% protein supplement he should use is 480 pounds.

The number of pounds of the 60% protein ration he should use is 720 pounds.

Answer:

B

Step-by-step explanation:

First, we know that 7/12 is less than 1.

We can cross out choices C and D because they are more than one

Now, 1/12 = 0.8(3)

(3) = 3 repeating, pretend it's a line on top

Since its repeating, even if you multiply by 7, it would still be repeating.

Between A and B, B is the correct answer.

The zeros of a polynomial function can be found using different methods such as factoring, the quadratic formula, and synthetic division. Factoring is used when the polynomial can be easily factored, the quadratic formula is used for quadratic polynomials that cannot be factored, and synthetic division is used for higher degree polynomials.

To find the zeros of a polynomial function, we need to solve the equation f(x) = 0, where f(x) represents the polynomial function.

There are different methods to find the zeros of a polynomial function, including:

Each method has its own steps and calculations involved. It is important to choose the appropriate method based on the degree of the polynomial and the available information.

About zeros here:

https://brainly.com/question/4059804

#SPJ11

   "

1. True statements about nonparametric tests: Nonparametric tests do not assume data follows a specific distribution and require fewer assumptions than parametric tests.

2. False statements about nonparametric tests: Nonparametric tests do not use means to compare underlying distributions and are not necessarily less powerful than parametric tests.

1. One true statement is that nonparametric tests do not assume data follows a specific distribution. They are distribution-free tests, meaning they do not make assumptions about the shape or parameters of the population distribution from which the data is sampled. This makes nonparametric tests robust and applicable in situations where the distributional assumptions are violated or unknown.

Another true statement is that nonparametric tests generally require fewer assumptions than parametric tests. Parametric tests often assume specific distributions, equal variances, or linearity, which may not hold true in many real-world scenarios. Nonparametric tests provide an alternative that relies on weaker assumptions, making them more versatile and applicable to a broader range of data.

2. However, it is not true that nonparametric tests use means to compare underlying distributions. Nonparametric tests focus on ranking or ordering the data rather than comparing means. They are designed to assess differences or relationships based on the order or ranks of the observations, making them suitable for ordinal or non-normally distributed data.

Lastly, it is false to claim that nonparametric tests are generally less powerful than parametric tests. The power of a statistical test depends on various factors such as sample size, effect size, and the specific test used.

While nonparametric tests might be slightly less powerful in some situations, they can often perform similarly or even outperform parametric tests, especially when distributional assumptions are violated or the data is skewed or contains outliers.

for more such question on parametric  visit

https://brainly.com/question/30451972

#SPJ8

Answer:

32%

Step-by-step explanation:

Answer:

Answer: 10x^2 -13x-3

Foil method

Step-by-step explanation:

I beleive its right.