The following table presents amounts of particulate emissions
for
50 vehicles. Construct a split stem-and-leaf plot in which each
stem appears twice, once for leaves 0-4
and again for leaves 5-9
. Use

Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.

What is polynomial?

A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.

Here,

When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.

This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.

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Answer:

\( - 4x + 3 - 7x - 8 \\ = - 11x - 5 \\ = - (11x + 5)\)

Answer:

-11x-5

Step-by-step explanation:

-4x-7x+3-8_______collect like terms together

-11x-5___________simplified form

The angle of elevation of the ramp to the nearest degree is 8°

From the information given, we have the following deductions;

The tangent identity is expressed as;

tan θ = opposite/ adjacent

substitute the values

tan θ = 2/ 15

find the ratio

tan θ = 0. 1333

Find the tangent inverse of the value

θ = \(tan^-^1(0. 1333)\)

θ = 7. 79 °

θ = 8° in the nearest degree

Thus, the angle of elevation of the ramp to the nearest degree is 8°

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To find the probability that a participant selected at random found the products favorable, we can calculate the weighted average of the favorable responses from both the industry-sponsored and non-industry-funded studies.

For the industry-sponsored studies, 65% of participants found the products favorable, and for the non-industry-funded studies, 47% found the products favorable. Since there were 65 industry-sponsored studies and 35 non-industry-funded studies, the overall probability is:

(65/100) * 0.65 + (35/100) * 0.47 = 0.4225 + 0.1645 = 0.587 or 58.7%

If a randomly selected participant found the product favorable, we can use Bayes' theorem to calculate the probability that the study was sponsored by the food industry given this favorable response. The calculation is:

P(Industry-sponsored | Favorable) = (P(Favorable | Industry-sponsored) * P(Industry-sponsored)) / P(Favorable)

P(Favorable | Industry-sponsored) = 0.65

P(Industry-sponsored) = 65/100

P(Favorable) = 0.587

P(Industry-sponsored | Favorable) = (0.65 * (65/100)) / 0.587 ≈ 0.719 or 71.9%

Similarly, if a randomly selected participant found the product unfavorable, we can use Bayes' theorem to calculate the probability that the study had no industry funding given this unfavorable response. The calculation is:

P(No industry funding | Unfavorable) = (P(Unfavorable | No industry funding) * P(No industry funding)) / P(Unfavorable)

P(Unfavorable | No industry funding) = 0.36

P(No industry funding) = 35/100

P(Unfavorable) = 1 - P(Favorable) = 1 - 0.587 = 0.413

P(No industry funding | Unfavorable) = (0.36 * (35/100)) / 0.413 ≈ 0.305 or 30.5%

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The measure of angle 7 from the given parallel lines is 80°.

Given that, two parallel lines are cut by a traversal.

∠4=100°

Here, ∠4+∠6=180° (Sum of two co-interior angles is 180°)

100°+∠6=180°

∠6=80°

Now, ∠6=∠7 (Vertically opposite angles are equal)

∠6=∠7=80°

Therefore, the measure of angle 7 from the given parallel lines is 80°.

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The Additive Inverse of 924 is -924

⇒ The number that, when added to 924, will result in a sum of zero is the additive inverse of 924. The formula to solve the issue where x is the additive inverse of 924 is as follows:

924 + x = 0

⇒ When we solve the preceding equation for x, we obtain x = -924. As a result, the answer to the question "What is the additive inverse of 924?" is -924.

∴Therefore Additive Inverse of 924 = -924

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Answer:

2/5

explanation:

Answer:

40/100 or in simplest form 2/5

Step-by-step explanation:

turn percent into decimal by multiplying by 100

Answer:

1.x+6

2.3.3c --8.2

3.11x -- 1/4

4.9x+5

5.x+14.4/2

Step-by-step explanation:

There are 1e-6 cubic meters in a cubic centimeter.

A centimeter is a metric unit of measurement used for measuring the length of an object. It is written as cm. It can also be defined as the unit of length in the International System of Units (SI), the current form of the metric system. It is equivalent to 1/100 meters.

A meter has 100 centimeters.

10 millimeters make one centimeter.

The centimeter can be written as cm.

While calculating the surface area of an object, the unit of measurement becomes cm².

While measuring the volume of an object, the unit of measurement becomes cm³.

Thus, There are 1e-6 cubic meters in a cubic centimeter.

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Answer:

y=-1.25x-4.25

Step-by-step explanation:

I had the same assignment.

The equation of the line that passes through (0,-b) and (c,0) is

7y - 8x = 28

The formula for calculating the equation of a line in point-slope form is expressed as:

\(y-y_0=m(x-x_0)\)

m is the slope of the line

(x0, y0) is any point on the line

Given the coordinate points (0, -b) and (c, 0)

Since b  = -4 and c = -3.5

The required coordinate  points will be (0, 4) and (-3.5, 0)

Substitute the given parameters into the given formula for calculating the slope:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{0-4}{-3.5-0} \\m = \frac{4}{3.5}\\m = 8/7\)

Substitute m = 8/7 and the point (0, 4) into the expression \(y-y_0=m(x-x_0)\)

\(y-4=\frac{8}{7} (x-0)\\7(y-4)=8x\\7y-28=8x\\7y-8x=28\)

Hence the equation of the line that passes through (0,-b) and (c,0) is

7y - 8x = 28

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The cost of three points for the homebuyers is $739.80.

To calculate the cost of three points for the homebuyers, we need to determine the value of each point and then multiply it by three.

Given:

Loan amount: $137,000

Interest rate without points: 5.05%

Interest rate with points: 4.87%

The difference between the two interest rates is the value of one point.

Interest rate difference = 5.05% - 4.87% = 0.18%

To find the value of one point, we calculate 0.18% of the loan amount:

Value of one point = 0.18% * $137,000

Value of one point = 0.0018 * $137,000

Value of one point = $246.60

Now, to determine the cost of three points, we multiply the value of one point by three:

Cost of three points = $246.60 * 3

Cost of three points = $739.80

The price of three points for the homebuyers is therefore $739.80.

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If two methods agree perfectly in a method comparison study, the slope equals 1.0 and the y-intercept equals 0.0. Therefore, option (b) is the correct answer.

In a method comparison study, the goal is to compare the agreement between two different measurement methods or instruments. The relationship between the measurements obtained from the two methods can be described by a linear equation of the form y = mx + b, where y represents the measurements from one method, x represents the measurements from the other method, m represents the slope, and b represents the y-intercept.

When the two methods agree perfectly, it means that there is a one-to-one relationship between the measurements obtained from each method. In other words, for every x value, the corresponding y value is the same. This indicates that the slope of the line connecting the measurements is 1.0, reflecting a direct proportional relationship.

Additionally, when the two methods agree perfectly, there is no systematic difference or offset between the measurements. This means that the line connecting the measurements intersects the y-axis at 0.0, indicating that the y-intercept is 0.0.

Therefore, in a perfect agreement scenario, the slope equals 1.0 and the y-intercept equals 0.0, which corresponds to option (b).

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By the concept of basic equations the largest number of stops she can afford to buy on a ticket is 6 stops

A quantitative assertion that has two variables with equal values delimited by the symbol "equal to" is called an equation. Consider the formula 3x + 5 = 15. Different types of equations exist, including linear, quadratic, cubic, and others. Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign. The expression on the left and the expression on the right are shown to be equal in reference to one another. LHS = RHS (left hand side = right hand side) appears in all mathematical equations. You can solve equations to determine an unknown variable's value, which corresponds to an unknown quantity. It isn't a solution if there is no "equal to" sign in the statement. It will qualify as expression.

Given:

Price of train tickets = $5

Price per stop = $2.75

Number of stops = x

Total amount Julia has to travel = $21

The equation:

21 = 5 + 2.75x

Subtract 5 from both sides

21 - 5 = 2.75x

16 = 2.75x

Divide both sides by 2.75

x = 16 / 2.75

x = 5.81

Approximately, 6 stops

Therefore, the largest number of stops she can afford to buy on a ticket is 6 stops.

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First, it is important to understand the concept of hypothesis testing. Hypothesis testing is a statistical method used to determine whether there is enough evidence to support a specific claim or hypothesis about a population parameter. In this case, the claim is that there is a linear relationship between the number of minutes spent online in class and the number of above average assignments.

Second, when conducting a hypothesis test, we always have two competing hypotheses: the null hypothesis and the alternative hypothesis. The null hypothesis is the hypothesis of no effect or no relationship, and it is often denoted as H0. The alternative hypothesis is the hypothesis that we want to support, and it is often denoted as Ha. In this case, the null hypothesis would be that there is no linear relationship between the number of minutes spent online in class and the number of above average assignments, or H0: β = 0. The alternative hypothesis would be that there is a linear relationship between the two variables, or Ha: β ≠ 0.

Finally, it is important to note that the symbol β represents the population parameter of interest, which is the slope of the regression line. The slope measures the strength and direction of the linear relationship between the two variables. If the slope is positive, it means that there is a positive linear relationship, and if it is negative, it means that there is a negative linear relationship. Therefore, the correct hypotheses for this test would be H0: β = 0 and Ha: β ≠ 0. These hypotheses will be tested using a t-test or a p-value, which will determine whether there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

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The equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

What are parallel lines?

Parallel lines are coplanar infinite straight lines that do not intersect at any point in geometry. Parallel planes are planes that never meet in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.

To find an equation for the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5),

We use the equation of a line: v = v₀ + tv₁

where v₀ and v₁ are points on the line and t is a real number.

Substitute the given points in for v₀ and v₁: v = (0, 1, −8) + t(6, 7, −5)

This equation of the plane is Ax + By + Cz = D, where A, B, C, and D are constants to be determined.

Equate the components:

0x + 1y - 8z = D....(1)

6x + 7y - 5z = D...(2)

Now, we subtract equation (1) from (2) and we get

6x - 0x + 7y - 1y - 5z + 8z = 0

6x + 6y + 3z = 0

Hence, the equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

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The probability that each player receives an ace is: 0.1055

let us consider they are  52 open spots in a row. We should divide the cards by placing them on these spots. This is the understanding that the cards on spots  1,2,…, and 13 are for a player, and the cards on spots  14,15,…, and 26 are for another player.

Then there are  134 ways to place the aces in such a way that each player will get an ace. This is the understanding that we do not discern suits. Next to that, there are 524 ways in total to place the aces.

So the probability that each player receives an ace is:

134(524)=28561270725=219720825≈0.1055

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Step-by-step explanation:

Hey there!

By looking at the figure, the given "2x" and "6x + 28" are co-interior angle.

So,

2x + 6x + 28 = 180°. ( sum of co-interior angle is 180°)

8x + 28°=180°

8x = 180° - 28°

8x = 152°

\(x = \frac{152}{8} \)

X = 19°

Therefore, X = 19°.

Hope it helps...

Answer:

x=19

Step-by-step explanation:

These are same-side interior angles. The Same-Side Interior Angles Theorem states that if two parallel lines are cut by a transversal, then the same side interior angles are supplementary. This means that the sum of the two angles is equal to 180°.

2x+6x+28=180°

8x=180-28

8x=152

x=19

Answer:

Zero is a number that can be equal to its opposite.

So, the given equation has solution for which LHS=RHS=0.

Step-by-step explanation:

The answer to the equation is 2

Answer:

105.6 m^2

Step-by-step explanation:

The equation to find an area of a circle is:

\(A = \pi r^{2}\)

A is the area, and r is your radius.

The diameter of a circle is its width. In this case, your diameter is 11.6m. The radius of a circle is simply half the diameter. So:

11.6 / 2 = 5.8

Now that you have r, plug it into your equation.

\(A=3.14(5.8)^{2}\)

\(A = 105.6296...\)

Round to the nearest tenth.

\(A = 105.6\ m^{2}\)

The test is one-tailed to the right due to the Alternate hypothesis.

In a hypothesis test, a Null hypothesis (H0) is a statement of "no effect" or "no difference," whereas the Alternate hypothesis (HA) is a statement of "some effect" or "some difference." Here are the correct null and alternative hypotheses for the given scenario: Null hypothesis: H0: μ = 71, Alternative hypothesis: HA: μ > 71 (One-tailed test) we have a one-tailed hypothesis test since the research hypothesis is directed. In a one-tailed test, we're looking for a difference in one direction only. In this case, Dr Carl thinks that there has been an improvement, so the alternative hypothesis reflects this. Therefore, the test is one-tailed to the right.

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Answer:  approximately 24 square units in the shaded areas

Step-by-step explanation:  

The area of the entire dark circles will be for each πr², then divided by 2 to get the area of the semicircles created on the sides of the triangles:

16π + 9π = 25π   Half that times value for pi

≈ 39.2699  is the area of the dark semicircles. Round to 39.27

Now the fun! Find the area of the parts subtracted by the light semicircle:

The area of the entire circle is 25π  or about 78.54. The triangle is half of an inscribed rectangle, 6×8, so 48.  Subtracted from the circle leaves about 30.54 in the four slices between the arcs of the circumference and the perimeter of the rectangle. We are concerned with only half of the slices, so we will subtract 15.27

Area of the dark semicircles minus the area of the light slices will leave the area of the shaded crescents:

Answer:

It is 31

Step-by-step explanation:

Answer:

2.14

Step-by-step explanation:

Answer:

-4 + 4

Step-by-step explanation:

It is -4 + 4 because if you imagine on a number line, you go left 4 (since it is negative) and add 4, so you go to the right 4, which leaves to 0.

Or, you can think of it like this:

+4 - 4

= 4 - 4

= 0.

I hope this helps. Sorry if I was wrong

Answer:

the answer would be -4 and 4 thess two numbers has a sum of 0

Answer: 3x^2-5x

5x^2-15xy

Step-by-step explanation:

Answer:

3x² - 5x & 5x² - 15 xy

Step-by-step explanation:

1) x(3x - 5)

x × 3x - x × 5 (take the brackets out)

3x² - 5x.

2) 5x (x - 3y)

5x × x - 5x × 3y (take the brackets out)

5x² - 15 xy

Answer: A) B → A: If x + 8 = 11, then x = 3.

In other words, it's the first answer choice.

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

Explanation:

For the general conditional statement \(P \to Q\), the converse of this is \(Q \to P\). We flip the antecedent and conditional. We don't negate any of the pieces.

The number of paths will be 1248072.

You must move 24 times, up 13 times, and right 11 times.

Consider placing a 13 up and 11 right order.

24 objects can be ordered in 24 different ways.

Both the sequence of the ups and the sequence of the rights are irrelevant.

Because there are 13 possible orders for the ups, you must divide by 13.

Because there are 11 different ways to number rights, you must also divide by 11.

So, The number of paths = 24! / (13! × 11!) = 1248072.

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Answer:

see explanation

Step-by-step explanation:

Expressing ratios in fractional form, then

\(\frac{a}{c}\) = \(\frac{a}{b}\) × \(\frac{b}{c}\) = \(\frac{2}{3}\) × \(\frac{5}{6}\) = \(\frac{1}{3}\) × \(\frac{5}{3}\) = \(\frac{5}{9}\)

That is a : c = 5 : 9

Answer:

I'm not honestly for sure but i'm guessing the side G, J because it is the longest!

Hope this helps,

0Drink0Milk0

it is Gj your welcome it has to be

Answer:

(5x+4y)-(3x+4y)=27-17

2x=10

x=10÷2

=5

Answer:

x = 5, y = 1/2

Step-by-step explanation:

-3x - 4y = -17   Use the elimination method by adding the 2 equations together

5x+4y=27​

2x = 10   ===> x = 5

3(5) + 4y = 17,

4y = 2    ===> y = 1/2

The true proportion of the side lengths of the quadrilaterals is A'B'/AB

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

Quadrilaterals ABCD and A'B'C'D

These quadrilaterals are similar

So, it means that the corresponding side lengths are proportional

So. we have

Side length = AB

Corresponding side length = A'B'

The true proportion is then represented as

k = Corresponding side length/Side length

Substitute the known values in the above equation, so, we have the following representation

k = A'B'/AB

Hence, the proportion is A'B'/AB

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