Complete the table.

Original Price Percent of Discount Sale Price
$112 32% $

Step-by-step explanation:

what is the problem here you don't understand ?

you understand the words "equality" and "inequality" ?

this is all about the question, if something is equal to something else or not - meaning of they are the same or at least the same size.

an expression without an equal ("=") or unequal sign ("<", ">", ">=", "<=", "<>" - if you don't understand these symbols, please ask, they are simply basic keyboard symbols for the scientific symbols) is not any form of that - no equality, and no inequality.

so,

1. is NOT

2. is NOT because it has an equality symbol

3. is a quadratic inequality (when doing the multiplication of both bracket terms, there will be an x×x=x² part) - it has a ">" (greater) symbol

4. is a quadratic inequality (there is a x² term as highest power of x included) - it has a "<=" (smaller or equal) symbol

5. is a quadratic inequality (there is a x² term as highest power of x included) - it has a ">" (greater) symbol

Answer:

6

Step-by-step explanation:

The tempeture increases by 2 degrees each hour. So that's +2 the first hour, +2 the second hour and +2 the third hour. You put that all together and you get +6. Hope it helped

Answer:

B

Step-by-step explanation:

16 + 6 ← factor out 2 from each number

= 2(8 + 3)

Answer:

see below

Step-by-step explanation:

(w+14)/2 = 10

Multiply each side by 2

(w+14)/2  *2 = 10*2

w+14 = 20

Subtract 14 from each side

w+14-14 = 20-14

w = 6

Answer:

20

6

Step-by-step explanation:

(w + 14)/2 = 10

w + 14 = 2(10)

w + 14 = 20

w = 20 - 14

w = 6

Answer:

Dimensions of the product matrix = (3 × 3)

Step-by-step explanation:

If matrix P having dimensions (m × n) and matrix Q having dimensions (n × r) are multiplied,

Dimensions of the product matrix PQ will have the dimensions as (m × r).

That means product of the two matrices are defined when columns of first matrix P is equal to the rows of the second matrix Q.

Following this rule,

Dimensions of matrix A = (2 × 3)

[ Rows × Columns]

Dimensions of matrix B = (3 × 3)  [Rows of B = 3, columns of B = 3]

Dimensions of matrix C = (3 × 2) [Rows of C = 3, columns of C = 2]

Since columns of C and rows of A are equal.

Therefore, product of C and A is defined.

Product of the matrices C & A will have the dimensions as (3 × 3).

An effective sampling method is not cast doubt on the usefulness of the sample

The effective sample is a calculation of the approximate sample size needed to obtain the same degree of accuracy as a simple random sample. It is denoted mathematically by the formula n/D, where n represents the sample size and D denotes the design effect. It is employed as a means of condensing the volume of data.

Effective sample size calculations are mostly used for qualitative analyses of the sample size. The sample size calculates the total number of measurements or observations made during an experiment or survey. The effective sample size—rather than the actual sample size—is utilized in this assessment since it is thought that a sample size of 30 is necessary for an analysis to be valid.

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Answer:
Cluster : 60,61,62,63
Gaps: 64,65 , 69,70
Outlier: 71
This is what I learned so don't blame me please!

Step-by-step explanation:

Cluster is numbers all on one side. Outlier can be the largest number or lowest. Normally the alone one.

Answer:

-1.166666667

Step-by-step explanation:

Since there are five lines in between -2 and -1 you need to divide 1 by 6 and when you do that you get .166666667. Since the point is on the first line you add that to one to get 1.166666667 and since it is on the negative side of the number line the number has to be negative.

Answer:42

Step-by-step explanation:

Answer:

r(x)= 11x

c(x) = 6x + 20

p(x) = r(x) - c(x)

= 11x -( 6x + 20)

= 11x - 6x - 20

= 5x - 20

In a right triangle with cos0 = 4/5, the exact value of cot(0) is 4/3.

In a right triangle, if cos0 = 4/5, then the exact value of cot(0) can be found using the Pythagorean Theorem and the definition of cotangent.

First, let's use the Pythagorean Theorem to find the third side of the right triangle.

If cos0 = 4/5, then the adjacent side is 4 and the hypotenuse is 5. The Pythagorean Theorem states that a^2 + b^2 = c^2, where a and b are the legs of the right triangle and c is the hypotenuse. Plugging in the known values, we get:

4² + b² = 5²
16 + b² = 25
b² = 9
b = 3

Now that we know the third side of the right triangle, we can use the definition of cotangent to find the exact value of cot(0).

Cotangent is defined as the ratio of the adjacent side to the opposite side. In this case, the adjacent side is 4 and the opposite side is 3, so:
cot(0) = 4/3

Therefore, the exact value of cot(0) is 4/3.

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Answer:

30 centimeters

Step-by-step explanation:

1. 30 kilometers is way too large for a baseball cap to be measured in. Kilometers are usually used to measure distances between cities.

2. 30 meters is also too large for a baseball cap to be measured in. 30 meters are about 15 basketball players stacked on top of one another.

3. Last and remaining choice is 30 cm. 30 cm is about the same length as a 12 inch ruler.

Sum of the interior angles of any n-side shape must equals to :

\((n - 2) \times 180\)

Thus ;

\((5 - 2) \times 180 = \)

\( 3\times 180 = \)

\(540 \: \: degrees\)

So :

\(x + 122 + 100 + 90 + 144 = 540\)

\(x +456 = 540\)

Subtract both sides 456

\(x + 456 - 456 = 540 - 456\)

\(x = 84\)

There u go...

The given values are 2,6,5,3,0,3,4,3,2,4,5,2,4

There are the following values as shown in the given data.

To find the mode first we have to assign each value that how many times it appears.

1. 2-3 the number 2 appears only Three times.

2. 6-1 the number 6 appears one time.

3. 5-2 the number 5 appears only two times.

4. 3-3 the number 3 appears only three times.

5. 0-1 the number 1 appears only one time.

6. 4-3 the number 4 appears only Three times.

So, the mode of the given data is 4,3,2 as it appears the most number of times.

If a given set of values with two modes is bimodal, a given set of numbers with three modes is trimodal, and any set of numbers with more than one mode is multimodal.

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Answer:

Step-by-step explanation:

If the kilowatt-hours stay proportional to the total bill, then you are using more electricity. If the bill goes up a lot more than the kilowatt-hours, then you are on some sort of "rate plan" that punishes peak usage

To form a polynomial with given zeros and degree, we need to use the fact that if a polynomial has a zero of x = a, then it can be factored as (x - a) times some other polynomial.

This means that if we know the zeros of a polynomial, we can write it in factored form, and then multiply out the factors to get the polynomial in standard form.

The degree of the polynomial tells us how many factors are necessary. For example, if the degree is 3, we know that the polynomial can be factored into three linear factors, one for each zero.

To illustrate this process, let's say we want to form a polynomial of degree 4 with zeros of x = 2, x = -1, and x = 3. We would start by writing the polynomial in factored form as:

f(x) = (x - 2)(x + 1)(x - 3)(ax + b)

Since the degree is 4, we need to include one more factor. We can use the coefficients a and b to determine this factor. To do so, we can either use the value of the leading coefficient (which is a in this case) or a point on the polynomial (i.e., a value of x and f(x)).

Once we have determined the value of a, we can solve for b by setting a point on the polynomial equal to a known value.

Finally, we can multiply out the factors to get the polynomial in standard form:

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

f(x) = 2x^4 - 8x^3 - 13x^2 + 22x - 12

In conclusion, to form a polynomial with given zeros and degree, we need to use the fact that a polynomial can be factored as (x - a) times some other polynomial if it has a zero of x = a.

We can write the polynomial in factored form, determine the missing factor(s) using the degree and coefficients, and then multiply out the factors to get the polynomial in standard form.

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the mathematical model relating centimeters (y) to inches (x) is: y ≈ 2.54x

To find a mathematical model that relates centimeters y to inches x, we can use the fact that 13 inches is approximately the same length as 33 centimeters. This can be written as:

13 inches ≈ 33 centimeters

To relate these two measurements, we can use a proportion:

13 inches / x = 33 centimeters / y

To solve for y, we can cross-multiply and simplify:

13y = 33x

y = 33x / 13

This is the mathematical model that relates centimeters y to inches x based on the given fact.
Hi! To find a mathematical model that relates centimeters (y) to inches (x), we can use the given information: 13 inches is approximately equal to 33 centimeters. To create a linear relationship, we can write the equation as:

y = k * x

Where k is the conversion factor between inches and centimeters. To find k, we can use the given data:

33 cm = k * 13 inches

Now, we can solve for k:

k = 33 cm / 13 inches ≈ 2.54

So the mathematical model relating centimeters (y) to inches (x) is:

y ≈ 2.54x

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Answer:

45

Step-by-step explanation:

2x+5x=63

7x=63

x=9

number of boys =5×9=45

Answer:

Ans: Rs 181.44.

Step-by-step explanation:

If testing shows that there is less than a 5% chance the results were random, the study is considered statistically significant.

In statistical hypothesis testing, researchers often set a significance level, denoted as α (alpha), which is typically 0.05 or 5%. This significance level represents the threshold below which the researchers consider the results to be statistically significant. If the p-value, which is a measure of the evidence against the null hypothesis, is less than the chosen significance level, it indicates that the results are unlikely to have occurred by chance alone.

When testing shows that there is less than a 5% chance (or any chosen significance level) that the results were random, the study is considered statistically significant. This means that the observed data provides evidence to reject the null hypothesis in favor of the alternative hypothesis. The results are deemed significant because the probability of obtaining such extreme or more extreme results under the assumption of randomness is very low.

Statistical significance is an important criterion in research as it helps researchers draw valid conclusions and make inferences from their data. However, it is essential to note that statistical significance does not imply practical significance or the magnitude of the effect observed. Additional considerations, such as effect size and contextual relevance, are necessary to fully interpret the implications of a statistically significant result in practical terms.

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G - v has k connected components.

Given that G is a connected graph and every vertex has even degree, gr(v) = 2k and v is the only cut-vertex of G, then we need to show that G - v has k connected components.

In order to show that G - v has k connected components, we will make use of the following theorem.

Theorem: Let G be a graph. Then G has a cut-vertex if and only if there exists u ∈ V(G) such that at least two components of G - u are not connected by a path containing u.Proof: If G has a cut-vertex v, then v divides G into two components G1 and G2.

Let u be any vertex in G1. Then G - u is disconnected, since there is no path connecting G1 and G2 which does not pass through v.On the other hand, if there exists u ∈ V(G) such that at least two components of G - u are not connected by a path containing u, then G has a cut-vertex.

To see this, let G1 and G2 be two components of G - u that are not connected by a path containing u.

Then v = u is a cut-vertex of G, since v separates G into G1 and G2, and every path between G1 and G2 must contain v.Now, let us apply this theorem to the given graph G.

Since v is the only cut vertex of G, every vertex in G - v must belong to the same component of G - v.

If there were more than one component of G - v, then v would not be the only cut-vertex of G.

Therefore, G - v has only one component.

Since every vertex in G has even degree, we can apply the handshaking lemma to conclude that the number of vertices in G is even.

Therefore, the number of vertices in G - v is odd. Let k be the number of vertices in G - v.

Then k is odd and every vertex in G - v has even degree.

Therefore, G - v is a connected graph with k vertices, and every vertex has an even degree. By the same argument, every connected graph with k vertices and every vertex having an even degree is isomorphic to G - v.

Therefore, G - v has k connected components.

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A)

This means in one minute, which is 1/210 of the total time, they would have ran 1/210 of the total distance.

So the runner would have ran 26.2/210 miles per minute, which is 0.12476 miles.

Rounding to the nearest hundredth of a mile,

They ran 0.12 miles per minute, so the unit rate is 0.12 miles per minute.

B)

You can work out the minutes per mile using the same concept.

For one mile, the runner would have ran 1/26.2 of the total time, so they ran 210/26.2 minutes per mile, or 8.015 minutes per mile.

Rounding to the nearest tenth, you'd round down to 8.0 minutes per mile.

So they ran 8.0 minutes per mile.

2) C)

For C, the other runner talks about the same rate as b), not a). This is because they are referring to the time they took to run one mile, so the other runner ran 10 minutes to cover one mile, or as they say, "10 minute miles", which is the rate in minutes per mile.

If they were referring to the rates in a), that would imply the other runner ran 10 miles per minute... which is very unlikely.

Answer:

  4t -5

Step-by-step explanation:

You simplify an expression by eliminating parentheses and combining like terms.

  8t+1+(−4t)+(−6)

First, we eliminate parentheses. A product involving an odd number of minus signs is negative.

  8t +1 -4t -6

It may be helpful to group variable terms and constant terms.

  (8t -4t) +(1 -6)

The coefficients of like terms are added:

  (4t) +(-5)

Expressed without the parentheses, the simplified expression is ...

  4t -5

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!

The complete solution is:

∫4\(sin^{-1}(2x) dx = sin^{-1}(2x)\) x 4x + √(1 - (2x)²) + C, where C is the constant of integration.

We have,

\(u = sin^{-1)}(2x)\)

dv = 4 dx

Taking the derivative of u, we get:

du/dx = 1 / √(1 - (2x)²)

Integrating dv, we get:

v = ∫4 dx = 4x

Now, applying the integration by parts formula:

∫4 \(sin^{-1}(2x) dx\) = uv - ∫vdu

Plugging in the values, we have:

∫4 \(sin^{-})(2x) dx = sin^{-1}(2x) \times\) 4x - ∫(4x / √(1 - (2x)²)) dx

At this point, we need to evaluate the integral on the right side.

Let's perform a substitution to simplify it:

Let u = 1 - (2x)²

Differentiating u with respect to x, we get:

du/dx = -4(2x) = -8x

Solving for dx, we have:

dx = -du / (8x)

Substituting these values, the integral becomes:

∫(4x / √(1 - (2x)²)) dx = ∫(-4x / (8x x √u)) (-du / (8x))

Simplifying, we get:

∫(4x / √(1 - (2x)²)) dx = ∫(-1 / (2√u)) du

= -∫(1 / (2√u)) du

= -√u + C

Substituting back the value of u, we have:

∫(4x / √(1 - (2x)²)) dx = -√(1 - (2x)²) + C

Therefore,

The complete solution is:

∫4\(sin^{-1}(2x) dx = sin^{-1}(2x)\) x 4x + √(1 - (2x)²) + C, where C is the constant of integration.

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The complete question:

a) Evaluate the integral ∫4 sin^(-1)(2x) dx using integration by parts.

Form the given probability distribution, the probability of selling exactly one batch by baker is equal to 0.10.

As given in the question,

Probability distribution established by baker :

    x :       1               2                3              4

P(x) :       0.10        0.30         0.40          0.20

As it is give that number of batches made by baker to sell muffins .

For selling 1 batch x = 1.

For selling 2 batch x = 2.

For selling 3batch x = 3.

For selling 4 batch x = 4

Probability of selling exactly one batch by baker is given by when x =1

Probability of x  = 1 is given by :

P( x = 1 )  = 0.10

Therefore, form the given probability distribution, the probability of selling exactly one batch by baker is equal to 0.10.

The complete question is :

A baker is deciding how many batches of muffins to make to sell in his bakery. He wants to make enough to sell every one and no fewer. Through observation, the baker has established a probability distribution. x P(x) 1 0.10 2 0.30 3 0.40 4 0.20 What is the probability the baker will sell exactly one batch.

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When considering all earthquakes around the world per year, earthquakes with a magnitude of 3 occur about as half as earthquakes of a magnitude 6.

Earthquakes (also known as quakes, tremors or tremors) shake the Earth's surface caused by seismic waves generated by a sudden release of energy from the Earth's lithosphere. Earthquakes range in magnitude from weak and imperceptible tremors to those strong enough to knock objects and people through the air, damage critical infrastructure and wreak havoc on entire cities. Seismicity in an area refers to the frequency, type, and magnitude of earthquakes that occur during a specified period of time. Seismicity at a particular location on Earth is the average rate at which seismic energy is released per unit volume. The term tremor is also used for non-seismic earthquakes.

On the surface of the Earth, earthquakes appear as shaking, displacement or disturbance of the ground. When the epicenter of a large earthquake is offshore, the displacement of the seabed is sufficient to generate a tsunami. Earthquakes can also cause landslides.

In its most general sense, the term earthquake is used to describe any seismic event - whether natural or man-made - that produces seismic waves. Earthquakes are mainly caused by the rupture of geological faults, but are also caused by other events such as volcanic activity, landslides, mine explosions and nuclear tests.

The initial breaking point of an earthquake is called epicenter or epicenter. The epicenter is the point on the ground directly above the source of the earthquake.

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Answer:

D - 24x-16

Step-by-step explanation:

(8×3x) + (8×-2)

Answer:

8(3x – 2) multiply it

24x-16