Five years ago, 45% of registered voters were in favor of Medicare For All, 35% were opposed, and 20% were unsure. This year, a survey of 501 randomly selected registered voters showed that 235 were in favor, 201 were opposed, and 65 were unsure. At the 0.05 level of significance, test the claim that the proportions for all voters have stayed the same as they were 5 years ago.

The composite function f(x). g(x) is represented as 3x² - 17x + 10

The composite function can be solved as follows:

f(x) = 3x - 2

g(x) = x - 5

Therefore, the composite function f(x). g(x) is as follows:

f(x). g(x) =  f(x) × g(x)

Hence,

f(x) × g(x)  = (3x - 2)(x - 5)

f(x) × g(x) = 3x²  - 15x - 2x + 10

f(x) × g(x) = 3x² - 17x + 10

Therefore, the function  f(x) × g(x) = 3x² - 17x + 10

learn more on functions(f(x)) here: https://brainly.com/question/14626983

#SPJ1

Answer:

what

Step-by-step explanation:

you know you should drink some water. 75% of americans are dehydrated and don't know it. being hydrated will fix your problems. because being dehydrated will make you not able to do simple math :)

Answer:

Based on the definition of an isosceles triangle, the measure of angle L is: 43°

An isosceles triangle has two side lengths that are equal in size, and also the angles opposite the equal sides are congruent.

Given that KL ≅ MK in △KLM, it means △KLM is an isosceles triangle.

If m∠M = 43°, therefore, m∠M = m∠L (equal angles directly opposite KL and MK).

This implies that: m∠M = 43°

In summary, based on the definition of an isosceles triangle, the measure of angle M is: 43°

Answer:

3x^2-15x

Step-by-step explanation:

3x(x-5)

3x^2-15x

Answer:

Step-by-step explanation:

The matrix equation for Exercise 57 is:

\[ \begin{bmatrix} 3 & 2 \\ 7 & -1 \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} -1 \\ 2 \end{bmatrix} \]

In Exercise 57, we are asked to write the given system of linear equations as a matrix equation.

To do this, we need to separate the coefficients of the variables and the constants from the equations and write them in matrix form. The coefficients of the variables will form the coefficient matrix, and the constants will form the constant matrix.

The coefficient matrix will be a 2x2 matrix, with the first row containing the coefficients of x and y from the first equation, and the second row containing the coefficients of x and y from the second equation. The constant matrix will be a 2x1 matrix, with the first row containing the constant from the first equation, and the second row containing the constant from the second equation.

So, the matrix equation for the given system of linear equations will be:

\[ \begin{bmatrix} 3 & 2 \\ 7 & -1 \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} -1 \\ 2 \end{bmatrix} \]

Therefore, the matrix equation for Exercise 57 is:

\[ \begin{bmatrix} 3 & 2 \\ 7 & -1 \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} -1 \\ 2 \end{bmatrix} \]

Learn more about linear equations

brainly.com/question/11897796

#SPJ11

Answer:

2.5, -2

Explanation:

The coordinate of y is -2 & the coordinate of x is 2.5.

A homogeneous system of equations with a column of zeros in the coefficient matrix has infinitely many solutions because one of the variables can take any value without affecting the system, creating a free variable that leads to infinite solutions.

To prove that a homogeneous system of equations with a column of zeros has infinitely many solutions, let's follow these steps:

1. Recall that a homogeneous system of equations is a linear system in the form Ax = 0, where A is the coefficient matrix, x is the variable vector, and 0 is the zero vector.

2. Consider a system with a column of zeros in the coefficient matrix A. This means one of the variables has no effect on the system, as its coefficients are all zeros.

3. A linear system of equations can have either no solutions, one unique solution, or infinitely many solutions. However, in a homogeneous system, there's always at least one solution: the trivial solution where all variables are equal to zero (x = 0).

4. Since one of the variables has a column of zeros in the coefficient matrix, we can assign any value to that variable without affecting the system, as the sum of the products of its coefficients and the variable will always be zero.

5. This means we have a free variable, which can take infinitely many values. Consequently, the system must have infinitely many solutions.

In conclusion, a homogeneous system of equations with a column of zeros in the coefficient matrix has infinitely many solutions because one of the variables can take any value without affecting the system, creating a free variable that leads to infinite solutions.

To learn more about “coefficients” refer to the https://brainly.com/question/1038771

#SPJ11

Answer:

Excuse me if this is wrong but I think you have to multiply 3 x 2.4 which is 7.2 and that is greater that 3.0.

Step-by-step explanation:

Interp2 is a MATLAB function that can be used to resize arrays of different sizes. This function is especially useful when we want to change the dimensions of an array without losing any important data.

An array is a collection of values or elements arranged in a specific order. When we want to resize an array, we essentially want to change its shape, but keep the same amount of data. This can be tricky when dealing with arrays of different sizes, because we need to find a way to map the data from one array onto another.

Interp2 helps us do this by using interpolation. Interpolation is a mathematical technique that allows us to estimate values between known data points. In the context of array resizing, interpolation is used to estimate the values of the new array based on the values of the old array.

To use interp2 to resize arrays, we need to provide it with the following inputs:

The old array (the array we want to resize)

The new size of the array (the dimensions of the new array)

The method of interpolation (how we want to estimate the values of the new array)

For example, let's say we have an array A that is 4x4, and we want to resize it to a 6x6 array. We can use interp2 as follows:

B = interp2(A, 6, 6, 'cubic');

In this case, we are telling interp2 to resize the array A to a 6x6 size using cubic interpolation. The resulting array B will have the same amount of data as A, but will be reshaped to fit the new dimensions.

To know more about array here.

https://brainly.com/question/19570024

#SPJ4

Answer:

(x+5)(x+6)

Step-by-step explanation:

Used the AC method which uses the form of ax²+bx+c

The midpoint of the line segment joining the complex numbers 8i and 11 - 9i in the complex plane is (11/2, -1/2) in the form (x, y).

To find the midpoint of the line segment joining the complex numbers 8i and 11 - 9i in the complex plane, we can use the midpoint formula:

Midpoint = (1/2)(z₁ + z₂)

where z₁ and z₂ are the complex numbers.

Given z₁ = 8i and z₂ = 11 - 9i, we can substitute these values into the formula:

Midpoint = (1/2)(8i + 11 - 9i)

Now, let's simplify the expression:

Midpoint = (1/2)(11 - i)

To multiply (1/2) by (11 - i), we distribute the (1/2) to both terms:

Midpoint = (1/2)(11) - (1/2)(i)

Midpoint = 11/2 - i/2

Therefore, the midpoint of the line segment joining the complex numbers 8i and 11 - 9i is (11/2 - i/2). In the form (x, y), the midpoint is (11/2, -1/2).

To learn more about complex numbers visit : https://brainly.com/question/10662770

#SPJ11

Answer:

The answer would be x =10

Step-by-step explanation:

Fill in 10

You welcome

The value of x in the figure ABCD is 10.

We know that rhombuses are a particular type of quadrilateral in Euclidean geometry. It is a unique instance of a parallelogram in which the diagonals meet at a 90-degree angle and all sides are equal.

Since the side lengths of a rhombus are equal, so the lengths of AB and DC are equal.

Now, 3x - 11 = x + 9

i.e. 3x - x = 9 + 11

i.e. 2x = 20

i.e. x = 10

Therefore the value of x in the figure ABCD is 10.

Learn more about rhombus here -

https://brainly.com/question/14393368

#SPJ2

12/35 fraction of the total number is unused from two different cards.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Assuming the total first kind of card form is 1 and the total second kind of card form is also one.

Given, a company buys equal numbers of two different card forms. it utilizes 4/5 of one kind and 6/7 of the other.

∴ The total unused card form is,

= (1 + 1) - (4/5 + 6/7).

= 2 - (28 + 30)/35.

= 2 - 58/35.

= (70 - 58)/35.

= 12/35.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ1

Answer:

D

Step-by-step explanation:

Answer:

The distance from the plane to the building is ___2553.2___meters.

Step-by-step explanation:

Given that An airplane is at an altitude of 1200 m.

The angle of depression to a building at the airport on the ground measures 28°.

We need to find the distance from the plane to the building.

Please check the attached diagram.

Let 'x' be the required distance in meters.

It forms a right-angled triangle as shown in the attached diagram.

The angle = Ф =  28°

The opposite to angle = 1200 meters

All we need to find the hypotenuse to determine the distance from the plane to the building.

Using the trigonometric ratio

sin θ = Perpendicular ÷ Hypotenuse

sin (28°) = 1200 ÷ x

x = 1200/sin (28°)

  = 1200 / 0.47         ∵ sin (28°) = 0.47

   = 2553.2 m

Thus, the distance from the plane to the building is ___2553.2___meters.

Step-by-step explanation:

I dont know how to choose the answer but I will give my own opinion..

total marble=55

green=15

red=12

blue=?

so: 55-12+15

blue=55-27

so blue =28..

sorry if it is wrong

Answer:

A

Step-by-step explanation:

Answer:

w = 10

Step-by-step explanation:

First we take the two values for the breadth of the rectangle

So:

5x - 9 = 3x + 7

now we solve this equation as follows:

5x - 3x = 9 + 7

2x = 16

x = 8

now that we have found the value for x, we can substitute it in the equation, 5x - 9,or in the equation, 3x + 7.

when we substitute x in any of these equations, we get

5(8) - 9 = 31

3(8) + 7 = 31

now that we have the value for the breadth we can form the following equation:

31 × w = 310

31w = 310

w = 310/31 = 10

Answer:

10

Step-by-step explanation:

Firstly, we find the value of X

since 5X-9 and 3X+7 are lenghts

5X-9= 3X+7

5X-3X= 7+9

2X = 16

dividing bothsides by 2

2X/2= 16/2

X = 8

Hence,

5X-9= 5(8)-9= 40-9 = 31

3X+7=3(8)+7= 24+7= 31

To find the width

Area= lenght×width

310= 31×w

31w= 310

w= 310/31

W= 10

The average rate of change of the function f(x) = 2x² - 6x - 1 on the interval [0,4] is -14.

To find the average rate of change of a function on an interval, we need to calculate the difference in function values at the endpoints of the interval and divide it by the difference in the corresponding x-values. In this case, the interval is [0,4].

   Evaluate the function at the endpoints of the interval:

   f(0) = 2(0)² - 6(0) - 1 = -1

   f(4) = 2(4)² - 6(4) - 1 = 15

   Calculate the difference in function values:

   Δf = f(4) - f(0) = 15 - (-1) = 16

   Calculate the difference in x-values:

   Δx = 4 - 0 = 4

   Find the average rate of change:

   Average rate of change = Δf / Δx = 16 / 4 = 4

Therefore, the average rate of change of the function f(x) = 2x² - 6x - 1 on the interval [0,4] is

To learn more about average- brainly.com/question/10945539

#SPJ11

After calculating and analyzing the given question, the bank officer should be inclined to take a sample of at least 133 under the condition of within $200 (MOE) of the actual average with 99% confidence.

In the event of determining the size sample needed for understanding average total monthly deposits by implementing the formula

n = (z x Σ / E)²

here,

n = sample size,

z = z-score involving  the desired level of confidence,

Σ = population standard deviation,

E = margin of error

Staging the values in the formula

n = (2.576 * 1000 / 200)² = 132.71

≈ 133

After calculating and analyzing the given question, the bank officer should be inclined to take a sample of at least 133 under the condition of within $200 (MOE) of the actual average with 99% confidence.

To learn more about monthly deposits,

https://brainly.com/question/31112326

#SPJ4

Answer:

$464.24095

Step-by-step explanation:

8 1/4% = NY sales-tax rate

8 1/4 % = .0825

428.86 x .0825 = 35.38095

428.86 + 35.38095 = $464.24095

the answer is 4 square root of 2

Answer:

Step-by-step explanation:

(-75) x173+173x(-25)

173(-75-25)

173(-100)

-17300

Answer: Standard Form

Step-by-step explanation:

In the slope intercept form, you can only solve for one equation at a time.

Ex: y = -2.5x + 15

but when using standard you can easly get the answer for both ticket prices

Ex: 25x + 10y = 150

5r + 2g = 30 is the linear equation that best describes the scenario.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given this, Hanna will spend $150 on music festival tickets. Reserved seat tickets cost $25 and general admission tickets cost $10.

Let "r" be the Number of reserved tickets she bought

and "g" be the number of  general admission tickets she bought

Money spent od reserved ticket = 25 * r

Money spent in general tickets = 10 *g

Since she totals spent 150$

Thus, the equation will be

25r + 10g = 150

Divide by 5 into both the sides

5r + 2g = 30

therefore, The linear equation that represents the given situation is 5r + 2g = 30.

Learn more about Linear equations here:

https://brainly.com/question/11897796

#SPJ2

The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.

To solve the inequality y + 7 ≤ -1, we need to isolate the variable y on one side of the inequality sign.

Starting with the given inequality:

y + 7 ≤ -1

We can begin by subtracting 7 from both sides of the inequality:

y + 7 - 7 ≤ -1 - 7

y ≤ -8

The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.

In the context of a number line, all values to the left of -8, including -8 itself, will make the inequality true. For example, -10, -9, -8, -8.5, and any other value less than -8 will satisfy the inequality. However, any value greater than -8 will not satisfy the inequality.

For such more question on solution:

https://brainly.com/question/24644930

#SPJ8

The following question may be like this:

What is a solution of the inequality shown below? y+7≤-1

Beth's statement is incorrect.

The main answer: No.

Using the z-distribution instead of the t-distribution when constructing a confidence interval for a mean with unknown variance can lead to an incorrect interval width. The t-distribution takes into account the sample size, which is particularly important when the sample size is small. By using the z-distribution, which assumes a large sample size or known variance, the resulting interval may be narrower than necessary. This means that the interval might not capture the true population mean with the desired level of confidence.

Learn more about variance

brainly.com/question/31432390

#SPJ11

Answer:

x = 5     y = 2

Step-by-step explanation:

3x + 2(3x - 13) = 19

3x + 6x - 26 = 19

9x = 45

x = 5

y = 3(5) - 13

y = 15 - 13

y = 2

Melinda will have painted 56 percentage of a wall for the time taken by Desiree, when she has finished painting 1 wall.

The computation of the difference between the time taken by Desiree and Melinda to paint walls at their respective speeds can be shown using the generalized calculations, as expressed hereunder,

Desiree will take 4x the time for painting 1 wall completely (25x4=100%). Thus, the amount of time taken by Melinda will also be 4x of her actual time, as below,

14×4= 56%

Therefore, Melinda will have covered 56 percent of the wall in the time when Desiree completes painting the entire wall.

Learn more about time taken here:

https://brainly.com/question/16963199

#SPJ4