He set of real numbers can be broken up into two disjoint subsets. what are the two subsets?

Answer:

Step-by-step explanation:

The mean of the sampling distribution of means is always is d. equal to the population mean.

The mean of the sampling distribution of means is equal to the population mean. This is known as the Central Limit Theorem (CLT). According to the CLT, as the sample size increases, the sampling distribution of means approaches a normal distribution with a mean equal to the population mean.

To understand this concept, let's consider a scenario where we have a population with a certain mean and we take multiple samples from that population, each with the same sample size. We calculate the mean of each sample and create a distribution of those sample means. The mean of this distribution of sample means will be equal to the population mean.

The CLT states that regardless of the shape of the population distribution, as long as the sample size is large enough, the distribution of sample means will be approximately normally distributed. Additionally, the standard deviation of the sampling distribution of means, known as the standard error, is equal to the population standard deviation divided by the square root of the sample size (N).

So, while the standard error is equal to the population standard deviation divided by the square root of N (option b), the mean of the sampling distribution of means is always equal to the population mean (option d).

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Answer:

22.5

Step-by-step explanation:

The mean is calculated by taking the sum of the values and dividing by the count.

For instance, for the 11 women, with the mean being 19, we can see that the ages summed to 209:

11 x 19 = 209

And then we can do the same for men:

11 x 26 = 286

And now we can combine the sum and count of the men and women to find the mean for the office:

286 + 209 = 495

495/22 = 22.5

The total amount of food served in a year is 4800 kg, and the completed table shows the amounts of each food type served.

3a. To calculate the total amount of food served in a year, we need to multiply the percentage of each food type by the total amount of food served per week (120 kg) and then multiply it by the number of weeks in a school year (40).

Total food served = (Vegetables % * 120 kg/week * 40 weeks) + (Potatoes % * 120 kg/week * 40 weeks) + (Meat % * 120 kg/week * 40 weeks) + (Rice % * 120 kg/week * 40 weeks) + (Salad % * 120 kg/week * 40 weeks) + (Fruit % * 120 kg/week * 40 weeks)

Now let's calculate the total amount of food served using the given percentages:

Total food served = (0.3 * 120 * 40) + (0.1 * 120 * 40) + (0.15 * 120 * 40) + (0.35 * 120 * 40) + (0.09 * 120 * 40) + (0.01 * 120 * 40)

Total food served = 1440 + 480 + 720 + 1680 + 432 + 48

Total food served = 4800 kg

Therefore, a total of 4800 kg of food was served in a year.

3b. To complete the table and show how much of each food type was served, we can multiply the percentage of each food type by the total amount of food served in a year (4800 kg).

Vegetables: 0.3 * 4800 kg = 1440 kg

Potatoes: 0.1 * 4800 kg = 480 kg

Meat: 0.15 * 4800 kg = 720 kg

Rice: 0.35 * 4800 kg = 1680 kg

Salad: 0.09 * 4800 kg = 432 kg

Fruit: 0.01 * 4800 kg = 48 kg

Therefore, the completed table showing the amount of each food type served in a year would be:

Food          | Percentage | Amount Served in a Year (kg)

---------------------------------------------------

Vegetables    | 30%        | 1440

Potatoes      | 10%        | 480

Meat          | 15%        | 720

Rice          | 35%        | 1680

Salad         | 9%         | 432

Fruit         | 1%         | 48

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Answer:

999,960

Step-by-step explanation:

let x be a multiple of 120

120x ≤ 999,999

999,999 / 120 = 8333.325

8333 ≤ x ≤ 8334

8333(120) = 999,960

8334(1200) = 1,000,080  this is a 7-digit number

Therefore, the largest 6-digit number that is exactly divisible by 120 is 999,960

Answer:

im sorry dont know anwser wish i could help

Step-by-step explanation:

There are a total of 17576 + 676 = 25028 strings of five uppercase English letters that start or end with the letters bo (in the order).

(a) There are 26*26 = 676 strings of five uppercase English letters that start and end with the letters bo (in that order), if letters can be repeat (b) There are 26*26*26 = 17576 strings of five uppercase English letters that start with the letters bo (in that order), if letters can be repeated.

(c) There are 26*26 = 676 strings of five uppercase English letters that start and end with an x, if letters can be repeated.

(d) There are 17576 + 676 + 676 = 25028 strings of five uppercase English letters that start or end with the letters bo (in the order), if letters can be repeated.

(a) There are 26 possibilities for the first letter, and 26 possibilities for the last letter, since any letter can be chosen. Since the first and last letters must be b and o, the remaining three letters can be any letter, so there are 26*26 = 676 possibilities for the remaining three letters.

(b) There are 26 possibilities for the first letter, and 26 possibilities for the second letter, since any letter can be chosen. Since the first and second letters must be b and o, the remaining three letters can be any letter, so there are 26*26*26 = 17576 possibilities for the remaining three letters.

(c) There are 26 possibilities for the first letter, and 26 possibilities for the last letter, since any letter can be chosen. Since the first and last letters must be x, the remaining three letters can be any letter, so there are 26*26 = 676 possibilities for the remaining three letters.

(d) There are 17576 strings of five uppercase English letters that start with the letters bo (in that order), and there are 676 strings of five uppercase English letters that end with the letters bo (in that order).

So, there are a total of 17576 + 676 = 25028 strings of five uppercase English letters that start or end with the letters bo (in the order).

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Answer:

y = -6/5x + 36/5  (3rd choice down)

Step-by-step explanation:

Find the slope of the line by choosing 2 points ON THE LINE:  (1,6) and (6,0)

slope = m = Δy/Δx = (0-6) / (6-1) = -6/5

Now use the point (1,6) in the point-intercept form to find b, the y-intercept:

(y-y1) = m(x-x1)

y - 6 = -6/5(x - 1)

y - 6 = -6/5x + 6/5

y = -6/5x + 6/5 + 6

y = -6/5x + 36/5

quick answer:  the line slants down, therefore it has a negative slope;  the only choice with a negative slope is the 3rd one down

Answer:

all real numbers, continuing forever in each direction, and also numbers that are between the integers

Answer:

10

Step-by-step explanation:

Joseph has a total of 6 3/4 gallons of fuel in his tank

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. In a proper fraction, the numerator is less than the denominator. When there is combination of whole number and fraction, it is called mixed fraction.

Joseph has 2 1/4 gallons before he added 4 3/6

the total fuel in the tank now is 2 1/4+ 4 3/6

= 9/4+27/6

finding the LCM of the denominator

(108+54)/24= 162/24= 27/4= 6 3/4

therefore Joseph has a total of 6 3/4 gallons of fuel in his tank

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Answer:.25 or 1/4 there the same

Step-by-step explanation:

Trust me

1/8 cups of vinegar used for 2 tsp of lemon oil.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

As, per the table 2 tsp oil need for 1/4 C of Vinegar to clean.

Also, 1/2 cups of Vinegar can clean 4 tsp of oil the rate is

= 1/2 x 1/4

= 1/8

Thus, 1/8 cups of vinegar used.

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The area of the swimming pool on the scale drawing will be 300 sq. centimeters.

A model's scale ratio is the proportionate ratio of a linear dimension of the model to the equivalent characteristic of the original.

For the given scale drawing 1 centimeter represents 2 meters, therefore, the length of 40 meters in one scale drawing will be equal to,

40 meters = 40/2 centimeters = 20 centimeters

The width of 30 meters one scale drawing will be equal to,

30 meters = 30/2 centimeters = 15 centimeters

Now, the area of the swimming pool on the scale drawing will be,

Area= 20 centimeters × 15 centimeters = 300 sq. centimeters

Hence, the area of the swimming pool on the scale drawing will be 300 sq. centimeters.

The complete question is:

A rectangular swimming pool measures 40 meters in length and 30 meters in width. in the scale drawing of the pool, 1 centimeter represents 2 meters. then what is the area of the swimming pool on the scale drawing?

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There are ΔABC and ΔXYZ triangles that are congruent due to the SAS congruence postulate.

Two triangles are said to be congruent if their corresponding sides and angles are equal.

As per the given question,

In ΔABC and ΔXYZ,

Side BC = Side YZ

m∠C = m∠Z

Side AC = Side XZ

According to SAS, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.

Thus, both triangles are congruent.

Hence, there are ΔABC and ΔXYZ triangles congruent due to the SAS congruence postulate.

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Answer: 3

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

They having a growing pattern of 3

Packet 1 = 3 packet 2 = 6 packet = 9 packet 3 = 12 packet 4 = 15 packet 6 = 18

Answer: experiment

Step-by-step explanation:

A course of perception that has an unsure result is alluded to as an experiment.

The study of mathematical objects by computing in order to discover their properties and patterns is known as experimental mathematics. It has been described as "that mathematical theory that concerns itself ultimately with both the convention and transmission of insights within the mathematical neighborhood through the use of experimental investigation of conjectures and also more irregular beliefs and just a careful analysis of the information acquired in this endeavor (in either the Galilean, Baconian, Aristotelian or Kantian sense).

The nineteenth century saw the reemergence of experimental mathematical concepts as a distinct field of study as the range of calculations that could be performed was greatly expanded by the development of the electronic computer, which could perform calculations at speeds and with levels of precision that were unimaginable to earlier generations of mathematicians.

A course of perception that has an unsure result is alluded to as an experiment.

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Answer:

No

Step-by-step explanation:

To have a triangle you have to add up the two shorter sides and it should be greater than or equal to the longest side.

12 + 14 = 26

26 is less than 27

Answer: 3.5435%

Step-by-step explanation:

Tiana's earnings = $155,555

State income tax paid = $5512.09

The State income tax rate will be calculated as:

State income tax/Tiana's earnings × 100%

= $5512.09/$155555 × 100%

= 0.035435 × 100%

= 3.5435%

The term a in the exponential equation is the coefficient.

An exponential function is shown when the input variable x is written as an exponent in the equation f(x) = y ˣ. Both the exponential function and the value of x have an impact on the exponential curve.

In the given expression of exponential equation a(bˣ) , the term a is a coefficient of the expression.

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Answer:

1,3 is the answer... if you look down here↓:

Step-by-step explanation:

Answer:

1/2 or .5

Step-by-step explanation:

Answer: 1/2

Step-by-step explanation:hope this helps! :)

The total number of ways six dogs and four cats can sit in a row as per given condition is equal to 86,400 ways.

Total number of dogs = 6

Total number of cats = 4

Arrange six dogs and four cats in a row.

No two cats sit next to each other.

Use permutation ,

Arrange the six dogs in a row in 6! ways.

Now, place the four cats in the six spaces between the dogs.

Since no two cats can sit next to each other

Place them such that there is at least one dog between any two cats.

Spaces between the dogs as ,

_ D _ D _ D _ D _ D _

Place the four cats in any of the 5 spaces between the dogs

Choose four of these spaces without repeating any space.

⁵C₄ = 5

Arrange four cats in the chosen spaces in 4! ways.

Total number of ways to arrange the dogs and cats with the given conditions is,

= 6! x 5 x 4!

= 86,400

Therefore,  there are 86,400 ways for six dogs and four cats to sit in a row in a strawberry field so that no two cats sit next to each other.

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The margin of error, using a 95% confidence interval, for estimating the true population proportion for home delivery truck drivers is approximately 0.0897.

The margin of error is a measure of the uncertainty in the estimate of a population parameter based on a sample. In this case, we are estimating the true population proportion for home delivery truck drivers.

To calculate the margin of error using a 95% confidence interval, we need to know the sample size and the sample proportion.

Step 1: Determine the sample size. The larger the sample size, the smaller the margin of error.

Step 2: Calculate the sample proportion. This is the proportion of the sample that possesses the characteristic of interest (in this case, being a home delivery truck driver).

Step 3: Use the formula for margin of error:

Margin of Error = Z * sqrt((p * (1-p))/n)

where Z is the z-score associated with the desired confidence level (in this case, 95% confidence level), p is the sample proportion, and n is the sample size.

Step 4: Look up the appropriate z-score for a 95% confidence level. The z-score for a 95% confidence level is approximately 1.96.

Step 5: Plug in the values into the formula and calculate the margin of error.

For example, if the sample size is 100 and the sample proportion is 0.70, the margin of error would be:

Margin of Error = 1.96 * sqrt((0.70 * (1-0.70))/100)
= 1.96 * sqrt((0.70 * 0.30)/100)
= 1.96 * sqrt(0.21/100)
= 1.96 * sqrt(0.0021)
= 1.96 * 0.0458

= 0.0897 (rounded to 4 decimal places)

So, the margin of error, using a 95% confidence interval, for estimating the true population proportion for home delivery truck drivers is approximately 0.0897.

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Answer:

3.61cm^2

Step-by-step explanation:

1.9 * 1.9 = 3.61

Answer:

Step-by-step explanation:

18. m∠1 = 104°

19. m∠2 = 79°

20. m∠3 = 65°

21. m∠5 = 73°

When a rectangular pyramid is sliced by a plane that is perpendicular to its base but does not pass through its vertex, the resulting cross section is a trapezoid.

To understand why this is the case, it is helpful to visualize a rectangular pyramid. A rectangular pyramid is a three-dimensional figure with a rectangular base and four triangular faces that meet at a single point at the top, known as the vertex.

If a plane is passed through the pyramid perpendicular to the base but not through the vertex, it will intersect each of the four triangular faces of the pyramid at a different angle, resulting in a cross section that has four sides.

Since the base of the rectangular pyramid is a rectangle, the two opposite sides of the trapezoid cross section will be parallel, and the other two sides will be non-parallel. The shape and size of the trapezoid cross section will depend on the orientation of the plane with respect to the rectangular pyramid.

In summary, when a rectangular pyramid is sliced by a plane that is perpendicular to its base but does not pass through its vertex, the resulting cross section is a trapezoid with two parallel sides and two non-parallel sides.

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Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

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Because every term of this sequence is positive, and the sequence is decreasing, it is bounded by zero and hence bounded.

a) Two sequences which are both divergent to - and the limit of their difference is [infinity] are the sequences (2n + 1) and (-2n - 1).

Because when we calculate the difference between the nth terms of these two sequences, we obtain:

(2n + 1) - (-2n - 1) = 4n + 2 ≈ 4n, which increases to infinity with n.

b) A decreasing sequence is a sequence where every term is greater than the following term.

In other words, a sequence {an} is decreasing if aₙ ≥ aₙ₊₁ for every n.

c) An example of a sequence that is decreasing and its limit for n→ +[infinity] does not exist is the sequence {1,0,-1,0,1,0,-1,0...}.

This sequence is decreasing, but the limit does not exist.

Because there are two subsequences of this sequence that converge to different values (namely, {1, -1, 1, -1, ...} and {0, 0, 0, 0, ...}).

d) An example of a sequence that is decreasing and bounded is {1/n}, where n is a positive integer.

Because every term of this sequence is positive, and the sequence is decreasing, it is bounded by zero and hence bounded.

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Answer:

The second one, I got that question

x ≤ 10

The required piece-wise function shown in the graph is y = x + 1 for x < 2 and y = 2x - 1 for x > 2.

To determine the equation of the given piece-wise function,
The equation of the function under x < 2 is given as,
y = x + 1 for x < 2

This equation can be obtained by locating two points on the line such as (-1, 0) and (0, 1), and forming an equation with these points,

Similarly,
For x > 2, we have
y = 2x - 1

Thus, the required piece-wise function shown in the graph is y = x + 1 for x < 2 and y = 2x - 1 for x > 2.

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