expensive coffee beverages weekly? f) How many men were in this sample? Question 5: A random sample of 43 U.S. first-year teacher salaries resulted in a mean of $58,000 with a standard deviation of $2

A binomial is a factor of a polynomial has been determined by using the

polynomial division method.

To determine if a binomial is a factor of a polynomial, you can use the polynomial division method. The basic idea is to divide the polynomial by the binomial and check if the remainder is zero. If the remainder is zero, then the binomial is a factor of the polynomial. Here's the step-by-step process:

Write the polynomial and the binomial in standard form, with the terms arranged in descending order of their exponents.

Perform the long division of the polynomial by the binomial, similar to how you would divide numbers. Start by dividing the highest degree term of the polynomial by the highest degree term of the binomial.

Multiply the binomial by the quotient obtained from the division and subtract the result from the polynomial.

Repeat the division process with the new polynomial obtained from the subtraction step.

Continue dividing until you reach a point where the degree of the polynomial is lower than the degree of the binomial.

If the remainder is zero, then the binomial is a factor of the polynomial. If the remainder is non-zero, then the binomial is not a factor.

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Cⁿ₁ is always positive, then the second term has negative sign.

What does binomial expansion mean?

Theorem that states that any power of a binomial (a + b) can be expanded as a specific sum of products (aibj), such as (a + b)2 = a2 + 2ab + b2.

The i-th term of the binomial expansion \((x- y)^{n}\)

Ti = nCi - 1 . (x)ⁿ+¹⁺i  . (-y)i - 1

For any n, when i=2,

T₂ = nC₂₋₁  . xⁿ⁺¹⁻² . (-y)²⁻¹  = -Cⁿ₁ xⁿ⁻¹ . y

Given that is consistently positive, the second term has a negative sign.

Cn1 is consistently positive, and the second term is always negative.

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Answer:

1/370

Step-by-step explanation:

I think I couldn't see it well

Note that the cost of wax that is required to cover the floor is given as = $1.677.39

To arrive at the correct answer, we had to deconstruct the complex shape in regular shapes comprising two rectangles and one right-angled triangle.

When disassembled, a composite form (or complex figure), also known as a compound shape, is made up of several separate regular shapes.

Note that the arrive at the correct answer, we need to deconstruct the complex shape in regular shapes comprising two rectangles and one right-angled triangle.

The objective is to add the area of all the shapes which comprise the irregular floor and multiply by the cost of wax per square foot. (See attached Image for Deconstructed Compound Shape.)

Step 1 - Find the area of the Right-Angled Triangle

Recall that the rea of a Right Angled Triangle = 1/2 B*H;

B = 15ft

H = 35ft

Area of Δ = 1/2 * 15 *35

Area of Triangle = 262.5ft

Step 2 - Find the area of the Two Rectangles
Dimensions of Rectangle a are: L = 30ft; B = 15ft

Area = L*B

Area = 30*15

Area of (a) = 450ft

Dimensions of Rectangle b are: L = 25ft: B= 20ft
Area (b) = 25* 20

Area (b) = 500ft


Step 3 - Find the area of the compound shape
Area of the compound shape = Sum of the area of the individual shapes  =

262.5ft + 450ft + 500ft
= 1212.5 ft

Step 4 - Find the cost of waxing the floor (compound shape)
This is given as:

$1.38 * Area of Compound Shape

⇒ 1.38 * 1212.5
= $1.677.39

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See the images attached for the missing part of the question

Answer:

oh hi

Step-by-step explanation:

thx

why did the answer get deleted lol but hey free points thx

The correlation in error terms that arises when the error terms at successive points in time are related is termed autocorrelation

The correct answer is an option (a).

Correlation is the mutual connection between two or more variables. These variables can be dependent or independent but there should be random variables.

Autocorrelation is the degree of correlation between the values of the same variables across different data.

Instead of correlation between two different variables, the correlation is between two values of the same variable at times i and i + k.

It is used for the following two purposes:

- To detect non-randomness in data.

- To identify an appropriate time series model if the data are not random.

Therefore, The correlation in error terms that arises when the error terms at successive points in time are related is termed autocorrelation

The correct answer is an option (a).

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The minimum value and median are used in the five-number summary.

A box and whisker plot displays a "box" with its left edge at Q₁, right edge at Q₃, "center" at Q₂ (the median), and "whiskers" at the maximum and minimum.

Given:

A five-number summary.

That means minimum value, lower quartile (Q1), median value (Q2), upper quartile (Q3), and maximum value.

From the given choices:

The minimum value and median are the required measures.

Therefore, the minimum value and median are the required measures.

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Answer:

8

Step-by-step explanation:

the degree is the highest sum of expinonts

in this case 6+2=8

all whole number have an exponent of zero

Hope this helps please mark brainiest

The line of intersection between two planes can be represented by symmetric equations. In this case, the symmetric equations for the line of intersection are:

x = 0

y = -c

z = c

To find the symmetric equations for the line of intersection,

first we set up a system of equations using the normal vectors of the planes.

The normal vector of Plane 1 is [5, -2, -2].

The normal vector of Plane 2 is [4, 1, 1].

Let's call the direction vector of the line of intersection "d = [a, b, c]".

Next, we set up a system of equations using the dot product between the direction vector and the normal vectors of the planes.

For Plane 1: [5, -2, -2] ⋅ [a, b, c] = 0

For Plane 2: [4, 1, 1] ⋅ [a, b, c] = 0

Simplifying these equations, we have:

5a - 2b - 2c = 0

4a + b + c = 0

Solving the system of equations,

Multiplying the second equation by 2, we get:

8a + 2b + 2c = 0

Adding this equation to the first equation, we eliminate b and c:

13a = 0

a = 0

Substituting a = 0 back into the second equation, we find:

0 + b + c = 0

b + c = 0

b = -c

Therefore, the direction vector of the line of intersection is d = [0, -c, c], where c can be any real number.

Then, write the symmetric equations for the line of intersection.

We can choose a point on the line of intersection as the origin, which gives us the point (0, 0, 0).

Thus, the symmetric equations for the line of intersection are given below:

x = 0, y = -c, z = c

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The theorem that proves that the triangles are congruent is the Side-Side-Side (SSS) Congruence Theorem.

The Side-Side-Side (SSS) Congruence Theorem states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent. This theorem is useful for proving that two triangles are congruent without having to use angles. The SSS Congruence Theorem is a useful tool for solving geometry problems involving triangles. It can be used to find the unknown side length of a triangle given the lengths of the other two sides, or in more complicated proofs involving multiple triangles. This theorem is also helpful in determining the area of a triangle, as the area is proportional to the product of the lengths of the sides.

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Answer:

B. a group of data points around a value

Step-by-step explanation:

A cluster in math is when data is clustered or assembled around one particular value.

Step-by-step explanation:

¹/25y²-81

(⅕y)²-9². apply a²-b²=(a+b)(a-b)

(⅕y+9)(⅕y-9)

hope this helps you.

11% is the approximate percentage of workers who are not protected by unions.

Rather than being stated as a fraction, a percentage is a piece of a total expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent, and nothing is zero percent. You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.

In essence, percentages are fractions with 100 as the denominator. We place the percent sign (%) next to the number to indicate that the number is a percentage.

One-tenth of anything is one percent. Therefore, it may be expressed as a fraction as well as a decimal.

Given that,

there are about 127 million workers in the u.s.

among them 14.4 million workers belong to unions

Now, workers belong to the united states = (127 - 14.4) = 112.6 million

So, number of people protected by unions = (112.6 / 127) × 100 = 88.66%

Now,  the approximate percentage of workers who are not protected by unions: (100 - 88.66) = 11.33% ≈ 11%

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Answer:-94 i took the quiz/test

Step-by-step explanation:

The limit of the given function is  π/2.

What is a limit?

A limit in mathematics is the value that a function gets closer to when the input gets closer to a certain value. Calculus and mathematical analysis are not possible without limits, which are also required to determine continuity, derivatives, and integrals.

Here, we have

Given: \(\lim_{(x,y) \to \pi, \pi /2} y sin(x-y)\)

We have to find the limit of the given function.

=  \(\lim_{(x,y) \to \pi, \pi /2} y sin(x-y)\)

Now, we substitute the value of each variable.

x = π and y = π/2

= y sin(x-y)

= π/2sin(π-π/2)

= π/2sinπ/2

= π/2sin(90°)   (∴sin90° = 1)

= π/2×1

= π/2

Hence, the limit of the given function is  π/2.

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Answer:

The first plant produces 2x + 21 more items daily than the second​ plant.

Step-by-step explanation:

The daily production of the two plants are:

Plant 1: 5x + 14

Plant 2: 3x - 7

Compute the number of items first plant produces more than the second​ plant as follows:

\(\text{Plant 1 - Plant 2}=5x+14-3x+7\\\\=2x+21\)

Thus, the first plant produces 2x + 21 more items daily than the second​ plant.

Answer:

Step-by-step explanation:

c = πd

75 = 3.14d

Divide both sides by 3.14

23.89 = d

Rounded

24 inches

...................

what

Answer:

area:1.9×0.75÷2

perimeter:2+0.75+2.25

Answer:

Answer is the explanation below

Step-by-step explanation:

The exponent is negative because, as a positive exponent means to multiply, a negative exponent means to divide.

Answer:

81,620,948

Step-by-step explanation:

this what you need?

The "working from whole to part" principle involves surveying a particular area first, creating a scaled map and identifying key features, then breaking down the land into smaller sections. Sketches are essential for this principle.

The “working from whole to part” principle is one of the major principles of Land Surveying. It involves surveying a particular area first before moving on to the specifics. This involves creating a scaled map of the whole land and identifying the key features that must be surveyed. This can be achieved through a series of sketching, which involves drawing to-scale images of the whole area. Once the whole part has been established, the surveyor then moves on to the specifics, where the land is broken down into smaller sections that are easier to manage.

Sketches are an essential part of this principle, and they help the surveyor to identify the key features of the land that are to be surveyed.

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Answer:

Step-by-step explanation:

So the plots are the 15 baseball players actually did, and the line was what they predicted to have.

You can see for the y-axis shows the numbers for home runs, each column add 2, and x-axis for hits, each line add 10.

For the first one you need to find the number for home runs when hits=154, so you can see the plot at the right side of 150 hits and left side of 160 hits. And the plot is located at y=26, which means 26 home runs.

The second one you have x=154, and y=0.15x-1.5,

so y=0.15x154-1.5=21.6

a. y^ Estimated y-intercept: This refers to the value of y when x is equal to zero. In this case, the estimated y-intercept is 188.

b. -126 Estimated slope: This refers to the coefficient of x in the regression equation, which indicates the change in y for each unit increase in x. In this case, the estimated slope is -126.

c. xβ1: This refers to the independent variable (x) multiplied by its coefficient (β1), which is the estimated slope.

d. y^ Estimated value of the dependent variable: This refers to the predicted value of y based on the regression equation and a given value of x.

e. β0: This refers to the coefficient of the intercept term in the regression equation, which represents the value of y when x is equal to zero. In this case, the estimated value of β0 is 188, which is the estimated y-intercept.

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Here volume of the cuboid is 6x³ + 32x² + 2x - 40.

A cuboid's volume is calculated by summing its length, width, and height.

The number that is used to calculate how much room there is inside a cuboid is called its volume. A cuboid is a common three-dimensional form that surrounds us. Based on a form's parameters, such as its length, width, and height, the term "volume" is used to describe how much of that shape may be contained.

So Here,

height (h) = 2x - 2

Length (l) = 3x + 4

Breadth (b) = x + 5

Volume = l × b × h

= (3x + 4) × (x + 5) × (2x - 2)

= [(3x + 4)(x + 5)](2x - 2)

= (3x² + 13x + 20] (2x - 2)

Volume = 6x³ - 6x² + 38x² - 38x + 40x - 40

Volume (V) = 6x³ + 32x² + 2x - 40

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Answer:

SSS(Side Side Side) is finding if all the sides are congruent to another triangle's side

SAS(Side Angle Side) is finding if a side, angle, side are congruent to another triangle's side.

Step-by-step explanation:

1. I will help with problem 7.

2. Two triangles ΔPQR and ΔSTU

3. As you can see sides P and R are the same length as S and U, while P and Q are the same length as T and U. And ∠Q ≈ ∠T.

4. This is proven by SAS- Side - Angle - Side