What is the meaning of "each partition P of X defines an equivalence relation on X"?

What Is The Meaning Of "each Partition P Of X Defines An Equivalence Relation On X"?

Answers

Answer 1

The statement indicates that when a set X is partitioned, each partition forms an  parity relation by grouping together  rudiments that are considered original within each subset, thereby creating distinct and non-overlapping subsets within the original setX.  

The statement" each partition P of X defines an  parity relation on X" means that when a set X is divided into non-overlapping subsets or partitions, each partition creates an  parity relation on the original set X.

An  parity relation is a relation that satisfies three  parcels reflexivity,  harmony, and transitivity.  In the  environment of partitions, when a set X is divided into subsets, each partition forms an  parity relation by grouping together  rudiments that partake a common characteristic or property.

Within each partition, the  rudiments are considered original or affiliated to each other, and they're distinct from  rudiments in other partitions.  The meaning of" each partition P of X" refers to every possible way of dividing the set X intonon-overlapping subsets.

It implies that different partitions may  live grounded on different criteria or conditions for grouping  rudiments.

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Related Questions

Kent brought $50.25 to the state fair. He bought a burger, a souvenir, and a pass. The burger was 1 6 as much as the souvenir, and the souvenir cost 3 4 the cost of the pass. Kent had $1.50 left over after buying these items. What was the cost of each item? Solve on paper. Then check your work on Z

Answers

The cost of the pass is approximately $26, the cost of the souvenir is approximately $19.50, and the cost of the burger is approximately $3.25.

Let's break down the problem step by step:

Let's assume the cost of the pass is x dollars.

The cost of the souvenir:

The souvenir cost is 3/4 of the pass, which is (3/4) × x = (3x/4) dollars.

The cost of the burger:

The burger cost is 1/6 of the souvenir, which is (1/6) × (3x/4) = (x/8) dollars.

Total cost of the items:

The total cost of the items is the sum of the pass, souvenir, and burger costs:

x + (3x/4) + (x/8) = (8x + 6x + x)/8

= (15x/8) dollars.

Remaining amount:

Kent had $1.50 left over, so the remaining amount is $1.50 = 1.5 dollars.

Set up the equation:

The remaining amount should be the initial amount minus the total cost:

$50.25 - (15x/8) = 1.5.

Solve the equation:

$50.25 - (15x/8) = 1.5

15x/8 = $50.25 - $1.5

15x/8 = $48.75.

Multiplying both sides by 8 to eliminate the fraction:

15x = 8 × $48.75

15x = $390.

Dividing both sides by 15 to solve for 'x':

x = $390 / 15

x ≈ $26.

Calculate the cost of each item:

Pass: x ≈ $26.

Souvenir:

(3x/4) ≈ (3 × $26/4)

≈ $19.50.

Burger:

(x/8) ≈ ($26/8)

≈ $3.25.

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Can you help me if you good at math

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1. The length of side AC is 21.5 units.

2. The magnitude of ∠R is 36.9°

3. The length of side ML is 7.5 units.

3. The length of side JK is 8.5 units.

How to determine the length of side AC?

In order to determine the length of side AC, we would apply sine trigonometric ratio because the given side lengths represent the opposite side and hypotenuse of a right-angled triangle;

sin(θ) = Opp/Hyp

Where:

Opp represent the opposite side of a right-angled triangle.Hyp represent the hypotenuse of a right-angled triangle.θ represent the angle.

By substituting the given side lengths, we have:

sin(34) = 12/x

x = 12/sin(34)

x = 21.5 units.

Question 2.

For the magnitude of ∠R, we have:

TanR = opposite side/adjacent side

TanR = 6/8

∠R = tan⁻¹(0.75)

∠R = 36.9°.

Question 3.

For side length ML, we have the following:

Tan28 = 4/ML

ML = 4/tan28

ML = 7.5 units.

Question 4.

For side length JK, we have the following:

cos(θ) = Adjacent side/Hypotenuse

cos(58) = JK/16

JK = 16cos(58)

JK = 8.5 units.

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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS

Answers

The point (2, 5) is a solution to the system of equations:

y = -x/2 + 6

y = 3x - 1

To determine which system of equations the point (2, 5) is a solution to, we can substitute the values of x and y into each equation and check if they satisfy the equations.

Let's substitute (2, 5) into each system of equations:

1. y = x - 8:

Substituting x = 2 and y = 5:

5 = 2 - 8

This equation is not satisfied.

2x + y = 7:

Substituting x = 2 and y = 5:

2(2) + 5 = 7

4 + 5 = 7

This equation is not satisfied.

2. y = x + 2:

Substituting x = 2 and y = 5:

5 = 2 + 2

5 = 4

This equation is not satisfied.

y = x + 5:

Substituting x = 2 and y = 5:

5 = 2 + 5

5 = 7

This equation is not satisfied.

3. y = -x/2 + 6:

Substituting x = 2 and y = 5:

5 = -(2)/2 + 6

5 = -1 + 6

5 = 5

This equation is satisfied.

y = 3x - 1:

Substituting x = 2 and y = 5:

5 = 3(2) - 1

5 = 6 - 1

5 = 5

This equation is satisfied.

4. y = 2x/3 + 6:

Substituting x = 2 and y = 5:

5 = 2(2)/3 + 6

5 = 4/3 + 6

This equation is not satisfied.

3y + 6x - 18 = 0:

Substituting x = 2 and y = 5:

3(5) + 6(2) - 18 = 0

15 + 12 - 18 = 0

27 - 18 = 0

9 = 0

This equation is not satisfied.

From the above calculations, we can see that the point (2, 5) is a solution to the system of equations:

y = -x/2 + 6

y = 3x - 1

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Wayne wants to fence in an area adjacent to his house for his daughter's bunnies. He has 45 feet of fencing to work with. What is the maximum area he can enclose for Vayla's bunnies? Do not round your answer. ft³ ​

Answers

The maximum area Wayne can enclose for Vayla's bunnies is 126.5625 square feet.

The perimeter of a rectangle is given by the formula: P = 2L + 2W.

In this case, the perimeter is given as 45 feet: 2L + 2W = 45.

Rearranging the equation for the perimeter, we have: 2L = 45 - 2W.

Solving for L, we get: L = (45 - 2W)/2 = 22.5 - W.

Now, we can express the area A in terms of W:

A = L x W = (22.5 - W) x W.

To find the maximum area, we take the derivative of the area with respect to W and set it equal to zero:

dA/dW = 22.5 - 2W = 0.

22.5 - 2W = 0

2W = 22.5

W = 22.5/2

W = 11.25.

and, L = 22.5 - W

L = 22.5 - 11.25

L = 11.25.

Therefore, the dimensions of the rectangle that will maximize the area with 45 feet of fencing are L = 11.25 feet and W = 11.25 feet.

Finally, we can calculate the maximum area:

A = L x W

A = 11.25 x 11.25

A = 126.5625 square feet.

Thus, the maximum area Wayne can enclose for Vayla's bunnies is 126.5625 square feet.

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What transformation is represented by the function f(x)=2sin(x−π/2)

up 2


down 2


left π/2


right π/2


down π/2

Answers

Answer:

right π/2

Step-by-step explanation:

The function f(x) = 2sin(x - π/2) is a sine function with a period of 2π, an amplitude of 2, and a phase shift of π/2. The phase shift of π/2 causes the graph of the function to be shifted π/2 units to the right. .

Therefore, the correct answer is right π/2

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.


Use the Binomial Theorem to find the binomial expansion of the given expression. Show your work.

[tex](2x-3y)^5[/tex]

Answers

The binomial theorem states that: [tex](x + y)^n = \sum_{k=0}^n{n\choose k} x^{n-k}y^k[/tex]. So, the binomial expansion of (2x - 3y)⁵ is: [tex]32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5[/tex].

Now, let's use the Binomial Theorem to find the binomial expansion of (2x - 3y)⁵. We will have to find the coefficients for each term. So, let's get started. n = 5x = 2xy = -3[nCr = n! / (r! * (n-r)!)]

Term k = 0: [tex] {5 \choose 0} (2x)^5 (-3y)^0[/tex] = 32x⁵

Term k = 1: [tex]{5 \choose 1} (2x)^4 (-3y)^1[/tex] = -240x⁴y

Term k = 2: [tex]{5 \choose 2} (2x)^3 (-3y)^2[/tex] = 720x³y²

Term k = 3: [tex]{5 \choose 3} (2x)^2 (-3y)^3[/tex] = -1080x²y³

Term k = 4: [tex]{5 \choose 4} (2x)^1 (-3y)^4[/tex] = 810xy⁴

Term k = 5: [tex]{5 \choose 5} (2x)^0 (-3y)^5[/tex] = -243y⁵

Now we can combine all of these terms to form the binomial expansion of (2x - 3y)⁵:[tex](2x - 3y)^5 = 32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5[/tex]

Therefore, the binomial expansion of (2x - 3y)⁵ is: [tex]32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5[/tex].

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Find the surface area please! Thank you!

Answers

Answer: 52.8

Step-by-step explanation:

Surface area=

2*the top of the tent or 2*15 or 30

The base, or another 15

And (3*2.6)/2=3.9 and multiply by 2

So:

30+15+3.9+3.9

Or 45+8

Or 52.8

How can you use the double number line diagram to find what percent 120 is of ​150?

Answers

Then, multiply this result by 100 to get the percentage. In this case, 120 is 80% of 150.

To use a double number line diagram to find what percent 120 is of 150, you need to create a diagram with two parallel lines. On the top line, mark 150 at one end and 100 at the other.

On the bottom line, mark 120 at one end and leave the other end blank. Then, draw diagonal lines connecting 120 on the bottom line to 150 on the top line and 100 on the top line to the blank end of the bottom line.

This creates two triangles. The height of the triangle with 120 is the percentage you're looking for.

To find this percentage, divide the length of the diagonal line connecting 120 and 150 by the length of the diagonal line connecting 100 and the blank end of the bottom line.

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HELP ILL MARK BRAINLIEST

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The sum f(x) + g(x) is (x³ + 16x² + 6x - 99) / (x²-9)(x² + 3x) and the type of discontinuity for f(x) at x = ±3 is a removable discontinuity, and for g(x) at x = 0, it is an infinite discontinuity or vertical asymptote.

To find f(x) + g(x), we need to add the two functions together:

f(x) + g(x) = (x+2)/(x²-9) + 11/(x²+3x)

To add these fractions, we need a common denominator.

The common denominator in this case is (x² - 9)(x² + 3x), which is the product of the denominators.

Rewriting the fractions with the common denominator, we have:

f(x) + g(x) = [(x+2)(x² + 3x)]/[(x²-9)(x² + 3x)] + [11(x²-9)]/[(x²-9)(x² + 3x)]

Combining the fractions, we have:

f(x) + g(x) = [(x+2)(x² + 3x) + 11(x²-9)]/[(x²-9)(x² + 3x)]

Simplifying the numerator:

[(x+2)(x² + 3x) + 11(x²-9)] = (x³ + 5x² + 6x + 11x² - 99)

= (x³ + 16x² + 6x - 99)

Therefore, the sum f(x) + g(x) is (x³ + 16x² + 6x - 99) / (x²-9)(x² + 3x).

The excluded values for the function f(x) are x = ±3, and for the function g(x), the excluded value is x = 0.

The type of discontinuity for f(x) at x = ±3 is a removable discontinuity, and for g(x) at x = 0, it is an infinite discontinuity or vertical asymptote.

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If the diameter of circle G is 212 meters, how long is the arc WK? (Round to the nearest
thousandth of a meter and do not use 3.14 for *)
H
W
G
84
K

Answers

The length of arc WK is given as follows:

WK = 141.856 m.

What is the law of sines?

We consider a triangle with side lengths and angles related as follows:

Side length of a is opposite to angle A.Side length of b is opposite to angle B.Side length of c is opposite to angle C.

Then the lengths and the sines of the angles are related as follows:

sin(A)/a = sin(B)/b = sin(C)/c.

Due to the diameter of 212 m, the radius is of 106 m, hence:

WG = GK = 106.

We have an isosceles triangle, and the sum of the internal angles of a triangle is of 180º, hence the bottom angles are given as follows:

2x + 84 = 180

2x = 96

x = 48º.

Hence the relation to obtain the length of arc WK is given as follows:

sin(84º)/WK = sin(48º)/106

WK = 106 x sine of 84 degrees/sine of 48 degrees

WK = 141.856 m.

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At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.07 and the probability that the flight will be delayed is 0.18. The probability that it will not rain and the flight will leave on time is 0.8. What is the probability that it is raining if the flight has been delayed? Round your answer to the nearest thousandth.

Answers

The probability that it is raining if the flight has been delayed is approximately 0.111 or 11.1% when rounded to the nearest thousandth.

To solve this problem, we can use Bayes states:

P(A|B) = (P(B|A) × P(A)) / P(B)

Let's define the events:

A = It is raining

B = The flight has been delayed

Given information:

P(A) = 0.07 (probability that it will rain)

P(B) = 0.18 (probability that the flight will be delayed)

P(~A ∩ ~B) = 0.8 (probability that it will not rain and the flight will leave on time)

We want to find P(A|B), the probability that it is raining if the flight has been delayed.

To calculate P(B|A), the probability that the flight is delayed given that it is raining, we can use the formula for conditional probability:

P(B|A) = P(A ∩ B) / P(A)

From the given information, we can see that P(A ∩ B) is not directly given. However, we can use the complement rule to rewrite P(A ∩ B) as:

P(A ∩ B) = 1 - P(~A ∩ ~B)

Substituting the values, we get:

P(A ∩ B) = 1 - 0.8

= 0.2

Now, we can calculate P(B|A):

P(B|A) = (P(A ∩ B)) / P(A)

= 0.2 / 0.07

≈ 2.857

Finally, we can use Bayes to calculate P(A|B):

P(A|B) = (P(B|A) × P(A)) / P(B)

= (2.857 × 0.07) / 0.18

≈ 1.112

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How can you use the double number line diagram to find what percent 120 is of ​150?
(dont put weird answers)

Answers

80 percent of 150 is ​120 .

Given,

Double line diagram

Now ,

Each mark on upper line increases by 30.

Each mark on upper line increases by 20%

Thus the fourth mark is the one which gives the value of percentage as 80.

So,

80% of 150 = 120

Thus both the mark coincides and fourth mark and gives the answer as 80% .

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A factory received a shipment of 16 compressors, and the vendor who sold the items knows there are 7 compressors in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the compressors in the sample are defective, he will refuse the shipment.

For each of the following, give your responses as reduced fractions.

1. If a sample of 7 compressors is selected, find the probability that all in the sample are defective.


2. If a sample of 7 compressors is selected, find the probability that none in the sample are defective



Answers

The Probability that none of the compressors in a sample of 7 are defective is (9/16)^7.

1. To find the probability that all compressors in a sample of 7 are defective, we need to calculate the probability of selecting a defective compressor for each pick and multiply them together.

In this case, there are 7 defective compressors in a shipment of 16. So, for the first pick, the probability of selecting a defective compressor is 7/16. Since there are no replacements (each pick is independent), for the second pick, the probability remains the same: 7/16. We continue this process for all 7 picks.

P(all defective) = (7/16) * (7/16) * (7/16) * (7/16) * (7/16) * (7/16) * (7/16) = (7/16)^7

Therefore, the probability that all compressors in a sample of 7 are defective is (7/16)^7.

2. To find the probability that none of the compressors in a sample of 7 are defective, we need to calculate the probability of selecting a non-defective compressor for each pick and multiply them together.

In this case, there are 9 non-defective compressors in a shipment of 16. So, for the first pick, the probability of selecting a non-defective compressor is 9/16. Since there are no replacements, for the second pick, the probability remains the same: 9/16. We continue this process for all 7 picks.

P(none defective) = (9/16) * (9/16) * (9/16) * (9/16) * (9/16) * (9/16) * (9/16) = (9/16)^7

Therefore, the probability that none of the compressors in a sample of 7 are defective is (9/16)^7.

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Which event is considered neither likely nor unlikely?

A, Rolling a number greater than 1 on a six-sided number cube.
B, Rolling a 1 on a six-sided number cube.
C, Getting heads when flipping a coin.
D, Choosing an X,Y, or Z from a bag containing all the letters of the alphabet.

Answers

According to the information, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely.

Which event is considered neither likely nor unlikely?

In probability, an event is considered likely if its probability is high, and it is considered unlikely if its probability is low. An event is considered neither likely nor unlikely if its probability is close to 0.5 or 50%. In this case we have to consider the probability of each option to establish a conclusion. Here is the analysis:

A, rolling a number greater than 1 on a six-sided number cube, has a probability of 5/6, which is greater than 0.5, so it is considered likely.B, rolling a 1 on a six-sided number cube, has a probability of 1/6, which is less than 0.5, so it is considered unlikely.C, getting heads when flipping a coin, has a probability of 1/2, which is equal to 0.5, so it is considered neither likely nor unlikely.D, choosing an X, Y, or Z from a bag containing all the letters of the alphabet, would depend on the specific contents of the bag. If the bag contains an equal number of each letter of the alphabet, the probability would be 3/26, which is less than 0.5, so it would be considered unlikely.

According to the above, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely because its probability is exactly 0.5 or 50%.

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If I have a loan for 90,900 at 8.25% annually for 8 years, what is my interest expense for 1/2 of a month.

Answers

To calculate the interest expense for half a month on a loan, we need to determine the daily interest rate first. Assuming a year consists of 365 days, we can calculate the daily interest rate by dividing the annual interest rate by 365:

Daily interest rate = (Annual interest rate) / 365

For your loan at 8.25% annually, the daily interest rate would be:

Daily interest rate = 8.25% / 365

Next, we calculate the interest expense for half a month (15 days) by multiplying the loan amount by the daily interest rate and the number of days:

Interest expense for 1/2 month = (Loan amount) * (Daily interest rate) * (Number of days)

Plugging in the values:

Interest expense for 1/2 month = $90,900 * (8.25% / 365) * 15

Calculating this, the interest expense for half a month on your loan would be approximately the result of that calculation.

Anna is 4 years older than her brother. Two years ago her brother was 3/4 her age. How old will her brother be in five years

Answers

Answer: he will be 14

Step-by-step explanation:

Anna is 14 and her brother is 10. Two years ago she was 12. 3/4 of 12 is 9. 9+5 more years is 14. :)))

Given the scatter plot below, the equation for the line of best fit is y=2/5x+3
Explain what the y-intercept represents in terms of the number of guests and pizzas. Your explanation should be at least 3-4 sentences and include at least 5 of the following words/phrases.

- "Trend Line" or "Line of best fit"
- ordered pair
- independent variable
- dependent variable
- "y-axis" or "x-axis"
- y-intercept

Answers

The y-intercept of the line of best fit, which is the point (0, 3) in this case, indicates the initial value of the dependent variable (y) when there are no guests or pizzas (x = 0).

In the context of the scatter plot and the equation for the line of best fit, the y-intercept represents the value of the dependent variable (y) when the independent variable (x) is zero. The y-axis in the scatter plot represents the dependent variable, which could be the number of guests or pizzas. The x-axis represents the independent variable, which could be the number of orders or time.

The y-intercept of the line of best fit, which is the point (0, 3) in this case, indicates the initial value of the dependent variable (y) when there are no guests or pizzas (x = 0). In terms of the number of guests and pizzas, the y-intercept of 3 suggests that even without any guests or orders, there is a base value of 3 for the dependent variable. This could represent a fixed cost or a minimum number of pizzas that need to be prepared or served regardless of the number of guests.

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find the amount payable on a solicitors bill give as: 220 + 17.5% VAT​

Answers

The amount payable on a solicitor’s bill is 258.5.

We are given that;

Solicitors bill = 220 + 17.5% VAT​

Now,

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

To find the amount payable on a solicitor’s bill, we need to add the VAT (value-added tax) to the original amount. VAT is a percentage of the original amount that is charged as a tax. In this case, the VAT rate is 17.5%.

To calculate the VAT amount, we multiply the original amount by the VAT rate and divide by 100. This gives us:

VAT = 220 x 17.5 / 100 VAT = 38.5

To find the total amount payable, we add the VAT amount to the original amount. This gives us:

Total = 220 + 38.5 Total = 258.5

Therefore, by algebra the answer will be 258.5.

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William leaves his home at 15:03 and walks for 12 minutes to Euston station.
He spends 4 minutes buying a ticket and then catches the next train to Bletchley.
What time will he arrive at Bletchley?
Train timetable
Euston
14:49 15:18 15:29
14:52
15:32 15:35
Harrow
Watford 15:01
15:30
15:41 15:44 16:11
Hemel
15:39 15:50
15:53
16:20
Tring
15:31
16:00
Q
16:14 16:41
Bletchley 15:47
16:16
16:30
Bedford 15:54 16:23 16:34 16:37 17:04
15:32 15:59

Answers

William catches the train from Euston station to Bletchley. According to the timetable, the next train from Euston to Bletchley departs at 15:32. William spends 4 minutes buying a ticket, so he will board the train at 15:36.

To find out what time he will arrive at Bletchley, we need to look at the arrival time for the train that departs Euston at 15:32. According to the timetable, this train arrives at Bletchley at 16:16.

William spends 12 minutes walking to Euston station and 4 minutes buying a ticket, so his total journey time is 12 + 4 + 44 = 60 minutes (since there are 60 minutes in an hour). Therefore, he will arrive at Bletchley at 16:16 + 60 minutes = 17:16.

So, William will arrive at Bletchley at 17:16.

*Answer*

15:47

Step-by-step explanation:

He left; 15:03

Walk for; 12mins

Spends extra;4min

So by my side,

I'll sum up those values we're having to find the total time that was spent

12+4= 16mins

So, at that time when he reached at the station it was 15:19 when we add those extra mins

And so I think it'll 15:47

My thought told me so though

ξ = {numbers between 3 and 19}
P {3,4,5,67,8,10,11,12,16}
Q {3,5,6,7,9,10,12,13,17,18}
Find n(Q')

Answers

The number of elements in the Q complement set, n(Q') is 7

Sets : Calculating the number of elements in a set

From the question, we are to determine the number of elements that are in the given set.

To find n(Q'),

First, we will determine the elements in Q'

NOTE: Q' means Q complement, that is, the elements that are present in the universal set but not in Q

The universal set is

ξ = {numbers between 3 and 19}

That is,

ξ = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19}

From the given information,

Q = {3, 5, 6, 7, 9, 10, 12, 13, 17, 18}

Therefore,

Q' = {4, 8, 11, 14, 15, 16, 19}

The value of n(Q') is the number of elements in the q' set

That is,

n(Q') = 7

Hence, n(Q') = 7

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please help me with this problem

Answers

1. The unknown in the 'x- mean' column are 2 and -8

2. The unknown in the '(x-mean)²' square column is

25 and 106

What is Frequency table?

A frequency table is simply a “t-chart” or two-column table which outlines the various possible outcomes and the associated frequencies observed in a sample.

A mean in math is the average of a data set, found by adding all numbers together and then dividing the sum of the numbers by the number of numbers.

1. X - mean = 13 - 11 =2

X - mean = 3 -11 = -8

2. (X - mean)² = 5²

= 25

The total value of (x-mean)²

= 9+ 4+25+4+4+64

= 13 +25 + 8 +64

= 106

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Un bibliotecario tuvo que empacar 28 libros en cajas. Si cada caja
puede contener 6 libros, ¿cuántas cajas necesita el bibliotecario?

Respuesta:

Answers

The number of boxes that the librarian would need, given the capacity, would be 5 boxes.

How to find the number of boxes ?

In the given scenario, the librarian is tasked with the responsibility of packing 28 books into boxes. To determine the number of boxes required, we consider that each box has the capacity to hold 6 books.

Dividing the total number of books by the capacity of each box allows us to ascertain the number of complete boxes needed.

The number of boxes needed is therefore :

= 28 / 6

= 4. 66

= 5 boxes

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Jill is 11 years younger than Pete. The sum of their ages is 29. What’s the age of Pete.

Answers

Answer:

The sum of their ages is 29, which we can express as the equation:

P + (P - 11) = 29

Simplifying the equation:

2P - 11 = 29

Adding 11 to both sides:

2P = 40

Dividing both sides by 2:

P = 20

Therefore, Pete's age, represented by "P," is 20 years old.

Question
Last year, Julia had already exercised 35 hours prior to May 1. She then exercised hour per day on
some days during the rest of the year. Which of the following equations gives the total amount of hours,
h, Julia exercised last year if she exercised d days the rest of the year? (0 ≤ d ≤ 245)
A.h = 0.5d
B. h=05d + 35
C. h = 35d
D. h = 35d +0.5

Answers

h = 0.5d + 35, shows the total amount of hours h, Julia exercised last year if she exercised d days the rest of the year.

Given,

Last year, Julia had already exercised 35 hours prior to May 1.

After that she exercised on some days during the rest of the year.

So,

Number of hours Julia has already exercised before may 1 = 35 hours.

For rest of the years Julia exercised on some days = 0.5 hours .

Hence,

The equation that satisfies the given condition of Julia for rest of the years will be,

h = 0.5d + 35

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sipho uses tiles to build crosses as shown below
fig.1 =5 tiles fig.2=9 tiles fig.3=13 fig.4=17

1.1Explain how the pattern is formed​

Answers

The pattern is formed by adding 4 tiles to the previous cross.

How to determine nth term?

In the first cross, there is 1 tile on each arm. In the second cross, there are 5 tiles on each arm, which is 4 more than the first cross. In the third cross, there are 9 tiles on each arm, which is 4 more than the second cross. And so on.

The following formula can be used to calculate the number of tiles in the nth cross:

tiles = 4 × (n - 1) + 1

where n = number of the cross.

For example, to calculate the number of tiles in the 4th cross, use the following formula:

tiles = 4 × (4 - 1) + 1 = 17

Therefore, there are 17 tiles in the 4th cross.

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1 year insurance policy covering its equipment was purchased for 6,144. The date purchased was June 14 but it doesn't go into effect until June 16th, How much is paid for that
month?
Year?

Answers

1 year insurance policy covering its equipment was purchased for 6,144. The date purchased was June 14 but it doesn't go into effect until June 16th, the amount paid for the month of June is approximately $252.75, and the amount paid for the entire year is approximately $6,144.

To calculate the amount paid for the month and the year, we need to consider the number of days covered by the insurance policy. Let's break it down step by step:

Step 1: Determine the number of days covered in June.

Since the policy doesn't go into effect until June 16th, there are 15 days remaining in June that will be covered by the insurance policy.

Step 2: Calculate the daily rate.

To find the daily rate, we divide the total cost of the insurance policy by the number of days in a year:

Daily rate = 6,144 / 365

Step 3: Calculate the amount paid for June.

The amount paid for June can be found by multiplying the daily rate by the number of days covered:

Amount paid for June = Daily rate * Number of days covered in June

Step 4: Calculate the amount paid for the year.

To calculate the amount paid for the year, we simply multiply the daily rate by 365 (the total number of days in a year):

Amount paid for the year = Daily rate * 365

Now let's perform the calculations:

Step 2: Daily rate

Daily rate = 6,144 / 365 ≈ 16.85 (rounded to two decimal places)

Step 3: Amount paid for June

Amount paid for June = 16.85 * 15 ≈ 252.75 (rounded to two decimal places)

Step 4: Amount paid for the year

Amount paid for the year = 16.85 * 365 ≈ 6,144 (rounded to two decimal places)

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simplify 13¹/3+2¹/3-10/2​

Answers

The simplified form of 13¹/3 + 2¹/3 - 10/2 is a fraction 64/6 that can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2 the final answer is 32/3.

Given

13¹/3+2¹/3-10/2​

Required simplified it =?

First, we have simplified both constants separately

13¹/3 = (3 * 13 + 1) / 3 = 40/3

2¹/3 = (3 * 2 + 1) / 3 = 7/3

now the expression become = 40/3 + 7/3 - 10/2

now taking LCM of 3 and 2 which is 6.

                                                = 80/6 + 14/6 - 30/6

 now we have to simplify this fraction by dividing by 2 = 64/6

Therefore, the simplified form of 13¹/3 + 2¹/3 - 10/2 is 32/3.

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graph the parabola x=1/2(y-2)^2-4. find and graph the vertex, focus, directrix, and focal chord endpoints.

Answers

1. Find the graph of the parabola attached below

2. Vertex (-4, 2)   Focus (-7/2, 2)  Directrix (x = -9/2)  Endpoints (-7/2, 1) (-7/2, 3)

How do we find the vertex, focus, directrix, and focal chord endpoints or the parabola?

For the parabola,  x = 1/2(y-2)² - 4 we will use the equation x = 4p(y-k)² + h,

Vertex → (h, k)

In our given equation, (y - 2) → (y - k), so k = 2. The term on the rightmost side of our equation (-4) → h in the form, so we know h = -4. ∴  vertex (-4, 2).

focus → (h, k) = (-4, 2); P = 1/2

Parabola is symmetric around the x axis and so the focus lies a distance P, from the center, along the x axis.

∴  Focus is (-4 + p, 2)

(-4 + 1/2, 2) ⇒ (-7/2, 2)

directrix → x = d

Parabola is symmetric around the x axis and therefore the directrix is a line paralled to the y axis a distance away from the ceter (-4, 2) x coordinate.

∴ x = -4 - p   ⇒ x = -4 - 1/2

x = 9/2

focal chord endpoints →

The focus of the parabola is (-7/2, 2).

The y-coordinate of the focus is 2, so the y-coordinates of the endpoints of the focal chord are 2 + 1 and 2 - 1, → 3 and 1.

Therefore, the endpoints of the focal chord are:

(-7/2, 3) and (-7/2, 1).

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Question
Which of the following is the best example of a numerical statistical question?
A) What was the amount of money earned by best-selling single in 2018?
B) How many minutes of music do students listen to on average?
C) How many Music Awards were given in 2012?
D) How many Hall of Fames are there in the fifty states?

Answers

The best example of a numerical statistical question among the given options is How many minutes of music do students listen to on average? The correct option is B.

The objective of this topic is to gather numerical data (musical minutes) and find an average value that represents a measure of central tendency. It focuses on the actions of a certain demographic—students—and how they listen to music.

By requesting the average, the questioner shows curiosity in learning about the typical or average behaviour of students with relation to their musical listening preferences.

It is a good illustration of a numerical statistical inquiry since it is written in a way that makes it possible to gather quantitative data.

Thus, the correct option is B.

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The best example of a numerical statistical question is How many minutes of music do students listen to on average, the correct option is B.

We are given that;

Four options

Now,

A numerical statistical question is a question that can be answered with a numerical value that varies from one individual or group to another. A numerical statistical question also implies that there is more than one possible answer and that the answer can be analyzed using statistical methods.

Therefore, by statistics the answer will be How many minutes of music do students listen to on average.

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a system of linear equations in two variables can have only a unique solution.explain ​

Answers

Step-by-step explanation:

Because straight lines (that are not the 'same line') can have at most, only one point of intersection...the unique solution.

Answer:

no it not have a unique solution.

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