prove that if r is asymmetric then it is antisymmetric, too. (b) does the converse implication hold, too? that is, if r is antisymmetric, does it have to be asymmetric? explain.

Answer:

The answer is D. √120

Step-by-step explanation:

Using the pythangorean theorem when solving the missing side of a right triangle, so given a^2 + b^2 = c^2. We have side c, and a so we must rearanged this to fit side b.

So: a^2 + b^2 = c^2 → b^2 = c^2 - a^2 →

b = √(c^2 - a^2).

Given side c or the hypotenuse is 17, and a is 13. side b must have a length of:

√(17^2-13^2) = √(289 - 169) = √120

The value of the length of EF in the right triangle is,

⇒ EF = √120

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

We have to given that;

In triangle DEF,

DF = 13

DE = 17

Hence, By using Pythagoras theorem,

⇒ DE² = EF² + DF²

⇒ 17² = EF² + 13²

⇒ 289 = EF² + 169

⇒ EF² = 289 - 169

⇒ EF² = 120

⇒ EF = √120

Thus, the length of EF in the right triangle is,

⇒ EF = √120

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The absolute value of the difference between the point estimate and the population parameter it estimates is sampling error.

The number's absolute value, which ignores orientation, indicates how far it is from zero on the number line. A number can never be negative in absolute terms.

Concepts which are used in the given problems:

The incorrect options can be found below:

Because the precision is the estimate that is near from the various samples, the absolute magnitude of the difference between the point estimate and the population parameter would not be a precision. Additionally, it is not a standard error since a standard error is an error that is far beyond the range of the sample mean. However, it is not a confidence error since a confidence error is a measure of how far the findings would deviate from the population under consideration.

By using the  concept of precision, standard error and error of confidence, the incorrect choices are discovered.

The correct choice may be found below:

Sampling error is the measurement of the distance or difference between the population parameter and the sample's point estimate. The sampling mistake is an inaccuracy that results from drawing conclusions about the sample rather than the population being studied.

The idea of sampling error is used to calculate the absolute value of the distinction between both the point estimate and the population parameter is predicts.

Thus, the absolute value of the difference between the point estimate and the population parameter it estimates is sampling error.

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Answer:

sample (a

b)...........

Rate is ratio that compares two quantities of different units.

A rate is a special ratio in which the two terms are in different units. Rate can also be defined as the ratio between two quantities of different units

For example, velocity is an example of rate, because it defined by the ratio of distance covered and time.

The unit of distance is metres and the unit of time is second. Therefore ;

velocity = distance /time. Therefore velocity is a rate.

Another example is ; Ade eat 5 mangoes for 20 days. The rate at which Ade eat is

1 day = 5/20

= 1/4 mangoes. This means Ade eats 1/4 mangoes per day.

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You have a project completion time of 60 days, and a non-critical path with 5 days of slack was delayed by 10 days. The correct answer is option ii. 65. The new project completion time after the delay of the non-critical task is 65 days.

To determine the new project completion time, follow these steps:

1. Determine the impact of the delay on the project completion time:

Since the non-critical path has 5 days of slack, it means that it can be delayed by up to 5 days without affecting the project completion time. However, the task was delayed by 10 days, which is 5 days more than its slack.

2. Calculate the new project completion time:

To find the new project completion time, add the extra delay (5 days) to the original project completion time (60 days).

New project completion time = Original project completion time + Extra delay
New project completion time = 60 days + 5 days
New project completion time = 65 days

So, the new project completion time is 65 days.

Based on the given options:
i. 60 - Incorrect, as the delay affects the project completion time.
ii. 65 - Correct, as calculated above.
iii. 70 - Incorrect, as the delay is not long enough to push the project completion time to 70 days.
iv. 55 - Incorrect, as the delay increases the project completion time, not decreases it.

Therefore, the correct answer is option ii. 65. The new project completion time after the delay of the non-critical path is 65 days.

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The zeroes of the polynomial is -7,-9 and the lesser x = -9, greater x = -7.

What is zeroes of polynomial?

We already know that a polynomial is an algebraic term with one or many terms. Zeroes of Polynomial are the real values of the variable for which the value of the polynomial becomes zero. So, real numbers, ‘m’ and ‘n’ are zeroes of polynomial p (x), if p (m) = 0 and p (n) = 0.

Given

f(x) = (x+8)² - 1

=x^2+64+16x-1

=x^2+16x+63

=x^2+7x+9x+63

=x(x+7)+9(x+7)

=(x+7)(x+9)

therefore, x=-7,-9

The lesser x = -9,

the greater x = -7.

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Answer:

okay look at the diagram and try to draw it to help you. Then look carefully at the equation and then solve it.

Step-by-step explanation:

Draw it

Label it

solve it

Let me know if u need help with other problems :)

Answer:

12*x-(9*x)

Step-by-step explanation:

Answer:

1.8%

Step-by-step explanation:

You would divide 250000 by 100 to get 2500 then you would multiply that by each number until you get 4500 and 1.8×2500=4500

The dimensions of the rectangle will be 16 inches long and 7 inches wide,

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L × W square units

The length of a rectangular poster is 2 more inches than two times its width. The area of the poster is 112 square inches. Then the equations are given as,

LW = 112           ...1

L = 2W + 2       ...2

From equations 1 and 2, then we have

(2W + 2)W = 112

2W² + 2W - 112 = 0

W² + W - 56 = 0

W² + 8W - 7W - 56 = 0

W(W + 8) - 7(W + 7) = 0

(W + 8)(W - 7) = 0

W = 7, -8

Neglect - 8 because of negative signs. Then the length is given as,

L = 2 x 7 + 2

L = 14 + 2

L = 16

The dimensions of the rectangle will be 16 inches long and 7 inches wide,

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Answer:

∠ 1 = 72°

Step-by-step explanation:

(4n - 2) and (2n + 17) are adjacent angles and sum to 180° , that is

4n - 2 + 2n + 17 = 180

6n + 15 = 180 ( subtract 15 from both sides )

6n = 165 ( divide both sides by 6 )

n = 27.5

Then

2n + 17 = 2(27.5) + 17 = 55 + 17 = 72

∠ 1 and 2n + 17 are vertical angles and congruent , so

∠ 1 = 72°

Answer:

B

Step-by-step explanation:

Move it down 3 units, then rotate it.

The volume of the tetrahedron can be found by evaluating the triple integral of 1 with respect to z, x, and y over the region bounded by the given planes.

Using the order dz dx dy, we integrate with respect to z first, then x, and finally y. The limits of integration for z are from 0 to y-x, the limits of integration for x are from 0 to 15, and the limits of integration for y are from x to x+15. Thus, the triple integral is: ∫∫∫ 1 dz dx dy = ∫0^15 ∫0^(15-x) ∫0^(y-x) 1 dz dx dy

Evaluating this integral gives us the volume of the tetrahedron, which is 5625 cubic units. we first integrate with respect to z from 0 to y-x, which gives us the volume of the region between the planes z=0 and z=y-x. Then we integrate with respect to x from 0 to 15, which gives us the volume of the region between the planes x=0 and x=15. Finally, we integrate with respect to y from x to x+15, which gives us the volume of the tetrahedron bounded by all four planes.

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Answer: 35

Step-by-step explanation:

Answer:

E=Mc squared

Step-by-step explanation:

Answer:

Angles 1 and 5 are corresponding angles.

Step-by-step explanation:

These are the different types of angles formed by a transversal:

1. Corresponding angles are angles that lie on the same side of the transversal line. Angles 1, 3, 5, 6, 9, and 11 are corresponding angles because they are all on the left side of the transversal (the line that cuts through the other lines). Angles 2, 4, 6, 8, 10, and 12 are corresponding angles because they are all on the right side of the transversal.

2. Alternate interior angles are angles that are nonadjacent angles that lie on opposite sides of the transversal and in between the horizontal lines. Here the alternate interior angles are 3 and 6, 4 and 5, 7 and 10, and 8 and 9.

3. Alternate exterior angles are those that are nonadjacent and lie on the outside of the horizontal lines. In this diagram, angles 1 and 12 and angles 2 and 11 are alternate exterior.

4. Same-side interior angles are angles that lie on the same side of the transversal and in between the horizontal lines. The same-side interior angles in this diagram are angles 3 and 5, 7 and 9, 4 and 6, and 8 and 10.

Out of a whole population, a sample is a small part which is considered for any survey.  

The population in this case would be all the one-bedroom apartments available for rent near the college.

The sample would be the listings that Greg is looking at in the local newspaper and on the internet site.

Sample: listings in a local newspaper and on an Internet site              

Population: all available apartments near the college          

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The probability that the sample mean is between 43 and 52 minutes is

0.9098 or 91%

To unravel this issue, we got to utilize the central restrain hypothesis, which states that the test cruel of an expansive test estimate (n>30) from any populace with a limited cruel and standard deviation will be roughly regularly dispersed.

Given the cruel and standard deviation of the populace, able to calculate the standard blunder of the cruel utilizing the equation:

standard mistake = standard deviation / √(sample estimate)

In this case, the standard error is:

standard blunder = 11 / √(25) = 2.2

Another, we ought to standardize the test cruel utilizing the z-score equation:

z = (test cruel - populace cruel(mean)) / standard mistake

For the lower restrain of 43 minutes:

z = (43 - 46) / 2.2 = -1.36

For the upper restrain of 52 minutes:

z = (52 - 46) / 2.2 = 2.73

Presently, ready to utilize a standard ordinary conveyance table or a calculator to discover the probabilities comparing to these z-scores.

The likelihood of getting a z-score less than -1.36 is 0.0869, and the likelihood of getting a z-score less than 2.73 is 0.9967.

Hence, the likelihood of the test cruel being between 43 and 52 minutes is:

0.9967 - 0.0869 = 0.9098 or approximately 91D

44 In conclusion, the likelihood that the test cruel is between 43 and 52 minutes is around 91%, expecting typical dissemination and a test measure of 25. 

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Answer:

36÷6

Step-by-step explanation:

3+3 = 6

-kiniwih426

Answer:

Step-by-step explanation:36/3=12+3=15

The last four linesof the poem reveals the solution in the poem as the first reveals the problem

A warm june day

we decided to do something new.

you will love it "Mom said

"i know i do "

Brother, mother,and I

got in the car and drove,

heading to the ocean

where i don't want to go

Never went before

and the idea was not just for me

Too much sunburn

and a splashing noisy scene

Total amount he will pay is equal to 62.880 after giving discount of 35% and adding the sales tax of 7.5%.

Discount is the total price which is deducted from the original terms so as we have to pay less.

Discount is always given on the marked price of the article.

Marked price is the cost at which article is marked.

Chandler buy shoes of $89.99.

Total discount on shoes = 35%

Price after getting Discount = 58.4935

Sales Tax = 7.5 %

Price after sales tax = 58.4935 + 7.5% of 58.4935

= 62.880

So total amount he will pay is equal to 62.880.

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The correct point-slope equation for the line that passes through the point (-4,-2) and is parallel to the line given by y = 5x + 44 is: A. y + 2 = 5(x + 4)

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

Since the line is parallel to y = 5x + 44, the slope is equal to 5.

At data point (-4, -2) and a slope of 5, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-2) = 5(x - (-4))  

y + 2 = 5(x + 4)

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Answer:

3x - 6 should be it

The rules that defines the graphed function include the following: B. y = x + 2; y = 5

By critically observing the graph, we can logically deduce that the function represents a piecewise-defined function and there are two lines on this graph.

The first line has the following points;

(0, 2) and (3, 5)

Therefore, we would express 2 and 5 as a sum of 2 as follows;

(0, 0 + 2) and (3, 3 + 2)

This ultimately implies that, the y-value is the sum of 2 and the x-value:

y = x + 2

The other line has a constant y-value of 5 for any or all x-values:

y = 5

In conclusion, the rules that defines the graphed function are y = x + 2 and y = 5

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To be sure of getting at least one face card from a standard deck of 52 cards, you would need to pick a minimum of 4 cards.

In a standard deck of 52 cards, there are 12 face cards (4 jacks, 4 queens, and 4 kings). To ensure that you have at least one face card, you would need to consider the worst-case scenario, which is that the first three cards you pick are not face cards. In this case, the fourth card you pick is guaranteed to be a face card, as there are 12 face cards remaining in the deck.

To understand why you need a minimum of 4 cards, consider the possibilities:

If you pick 3 non-face cards consecutively, the next card must be a face card. The probability of picking a non-face card is
(40/52) * (39/51) * (38/50) = 0.4026.

Therefore, the probability of picking at least one face card in the first 3 cards is 1 - 0.4026 = 0.5974.

However, to be absolutely sure of getting at least one face card, you need to consider the worst-case scenario, where the first 3 cards are non-face cards. Therefore, you would need to pick the fourth card to guarantee a face card.

Hence, to be sure of getting at least one face card, you need to pick a minimum of 4 cards from a standard deck of 52 cards.

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Answer:

Sunglower I really want to help, but personally I do not know the answer, but if this answer is going percentage wise, the answer would be 1.6004

Answer:

D.6

Step-by-step explanation:

Answer:d)4

Step-by-step explanation: