Let A = {1,2,3}, B = {2, 3, 4}, and C = {3,4,5}. Find An (BUC), (An B)UC, and (An B)U(ANC). Which of these sets are equal? 2. Provide examples of each of the following: (a) A partition of Z that consists of 2 sets (b) A partition of R that consists of infinitely many sets

Answer:

1 - 12

2 - 22

3 - 12

4 - waterslide

5 - 3

6 - 36%

7 - 9/28

8 - 8/22 or 4/11

9  - 6/25

10 - 50

Step-by-step explanation:

1 - 28-8-7=12

2 - 3+8+11=22

3 - 9+3=12

4 the total at the water activities was 20 while the total at the picnic was 18

20 is greater than 18 therefore the waterslide was favored

5 - 12 - 9 = 3

6 -(100/50)18=36

Logistic regression models the probability of a binary outcome, while CART models segment data into categories. For example, CART is preferable when data has complex interactions, as it can partition data into multiple categories.

Logistic regression and classification and regression trees (CART) are two different machine learning models used for binary classification problems. Logistic regression models the probability of one class or the other based on a linear combination of input variables. This makes it useful for predicting a binary outcome, such as whether a customer will purchase a product or not. On the other hand, CART is a decision tree model that divides data into categories. It uses a tree-like structure to split the data into segments based on the input features. This makes it useful for dealing with data with complex interactions, as it can partition data into multiple categories. For example, a CART model would be preferable to a logistic regression model if there are multiple underlying factors that affect the binary outcome. In this case, a CART model could more accurately identify the categories that are associated with a particular outcome. Overall, CART models are superior for dealing with data with complex interactions, whereas logistic regression is better for simpler data.

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The total weight is 18.5 kilograms

Answer:

1. 60 is his y-intercept

2. $82.11 in his account after 8 years

Answer:

The y-intercept of Jacob's graph is $60, which represents the initial amount of money he deposited into the account.

If Jacob doesn't deposit any additional money into the account, the amount of money he will have in eight years can be found by plugging in x=8 into the equation y = 60(1 + 0.04)^x and evaluating:

y = 60(1 + 0.04)^8

y ≈ $82.08

So the answer to the second question is that Jacob will have approximately $82.08 in the account after eight years, assuming he doesn't deposit any additional money into the account.

Hope this helps,
Ariana :)

I hope this helps you feel free to contact me

The horizontal distance between the base of the ladder and the wall is  6.77 feet.

Length of the ladder = 28 feet

Angle made by ladder with ground = 76°

If we correlate this scenario with a right-angle triangle, the ladder will be the hypotenuse while distancing between the base of the ladder and the wall will be the adjacent side.

The cosine of an angle is the ratio of the adjacent side(of that angle) to the hypotenuse of the triangle.

So, \(Cos 76 = \frac{ADJACENTside}{28}\)

Adjacent side = 28Cos76°

Adjacent side = 6.77 feet

Therefore, the horizontal distance between the base of the ladder and the wall is  6.77 feet.

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Answer:

He mixed up the numerator and the denominator of the fraction.

Step-by-step explanation:

mr clean is very clean

Able Cable offers the fastest mean downloading speed among the three providers with a speed of 4.0 Mbps.

We can calculate the mean (average) download speed for each provider and compare them to determine which company offers the fastest mean downloading speed.

Based on the given data, the mean download speed for each provider is:

City Net: (3.6 + 3.7 + 3.7 + 3.6 + 3.9) / 5 = 3.7 megabits per second (Mbps)

Able Cable: (3.9 + 3.9 + 4.1 + 4.0 + 4.1) / 5 = 4.0 Mbps

Tel-N-Net: (3.9 + 3.7 + 4.0 + 3.6 + 3.8) / 5 = 3.8 Mbps

Therefore, Able Cable offers the fastest mean downloading speed among the three providers with a speed of 4.0 Mbps.

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The cost of materials for the cheapest container is $184.67.

Suppose the width is x and it is given that the length of its base is twice the width, so the length of the base is 2x.

The base area is 2x².

Since the volume is $12m³

The height has to be 12/ 2x² = 6/ x²

The cost of making such a container is.

cost of base = 2x² × 10

= 20x²

The cost of sides =( 2 × 2x 6/x² + 2 × x × 6 / x²) 6

= (24/x + 12/x )6

= 36/x × 6

216/x

The overall cost is hence the sum of the base and the sides = f(x)

= 20x² + 216/x

To get the minimum,

df(x) / dx = 20x² + 216/x = 0

= 40x - 216/x² = 0

x³ = 216/40

= 54/10

= 27/5

x = 3/∛5

= 3/ 1.70

= 1.76

f(x) = 20(1.76)² + 216/ 1.76

= 61.952 + 122.72

= 184.67

Therefore we get the cost of the materials to be $184.67.

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Answer:

107

Step-by-step explanation:

Probability = numbers that add up to 10 / total of numbers

There are 120 positive integers between 1 - 2020 that add up to 10.

120 / 2020

convert to its simplest form by dividing by 20

6 / 101

m + N = 101 + 6 = 107

Answer:

10

Step-by-step explanation:

First we figure out the area of the triangle!

8 x 6 = 48

48/2 = 24

Now we multiply to figure out the area of the rectangle :)

24 x 5 = 120

Now we divide 120 by 12 to figure out the width!!

120/12 = 10

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

10

Step-by-step explanation:

area of triangle = 1/2 x 8 x 6 = 24

area of rectangle = 5 x 24= 120

area of rectangle = length x width

120 = 12 x w

w = 10

Step-by-step explanation:

he ran 75 of 100 m, that means he ran the fraction of 100m 75/100 × 100 = 0.75×100 = 75%

Answer:

990.037

don't ask.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The length of the metal tray can be determined by adding the given dimensions of the tray, which are 20 inches and 14 inches, along with the unknown dimensions represented by "X."

To find the length of the metal tray, we need to consider the given dimensions and the unknown dimensions represented by "X." Let's assume that the length of the metal tray is L. From the given diagram, we can observe that the 20-inch dimension corresponds to one end of the tray, and the 14-inch dimension corresponds to the other end of the tray. In between, there are three sections denoted by "X."

Therefore, the expression for the length of the metal tray can be written as L = 20 + X + X + X + 14, which simplifies to L = 54 + 3X. Thus, the length of the metal tray can be calculated by adding the fixed dimensions and three times the value of "X."

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The value of the rate of growth in Japan is - 0.55.

From the question above, :Birth rate = 7.7 per thousand

Death rate = 9.8 per thousand

Net migration = 0.55 per thousand

The rate of growth can be calculated using the following formula:

r = (birth rate - death rate) + net migration

Where,r = rate of growth

birth rate = number of live births per thousand in a population in a given year

death rate = number of deaths per thousand in a population in a given year

net migration = the difference between the number of people moving into a country (immigrants) and the number of people leaving a country (emigrants) per thousand in a given year

Putting the values in the formula we get,r = (7.7 - 9.8) + 0.55r = - 1.1 + 0.55r = - 0.55.

Therefore, the rate of growth in Japan is - 0.55.

Your question is incomplete but most probably your full question was:

thenet migration is confusing me. i thought of using the formula:[ (births + immigration) - (deaths + emmigration)] / total

population • 100 but im not sure how to do it with net migration.

Japan's birth rate is 7.7 per thousand and its death rate is 9.8 per thousand with a net migration of 0.55 ner thousand. Calculate r for Japan

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  The ant's entire distance travelled along its semicircular journey is its total distance travelled overall. The ant is travelling around a circle with radius R, thus the distance it has travelled is equal to half of the circle's circumference, πR.

The change in the ant's position is represented by a vector quantity called the displacement of the ant. The ant in this scenario begins at one end of the semi-circular path and moves 2R away from the beginning point to reach the other end. The direction of the displacement vector is from the starting point to the ending point, and the displacement's magnitude is equal to the 2R distance between the two points.

    So, the option c is most suitable option.

Therefore, πR and 2R are the ant's displacement and the distance travelled, respectively.

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They are used in navigation, astronomy, and surveying. Rays are also used in computer graphics, physics, and optics. In addition, rays are used in the study of optics to describe the behavior of light as it travels through different mediums.

According to the video above, the geometric object called a ray has the characteristics that it has one endpoint and extends in away from that endpoint without end.A ray is a line that starts at a single point and extends in one direction to infinity. Rays are commonly used in geometry to explain lines and line segments. A ray has one endpoint, called the endpoint of the ray, from which it starts. The other end of the ray continues in the direction in which it is pointed without any limit. A ray is named by using its endpoint and another point on the ray, with the endpoint first. For example, if ray A starts at point P and passes through point Q, we write the name of the ray as ray PAQ or ray QAP. Rays can be part of line segments and other geometric objects. They can also be used to explain angles and the direction of a light source. Rays are commonly used in mathematics, science, and engineering.

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The average number of sim cards that are at the repair machine at any given time, based on the Poisson distribution and the given parameters.

Based on the information provided, we can use the Poisson distribution to calculate the average number of sim cards at the repair machine.
First, we need to find the rate parameter, which is the average number of defects per unit time. We know that the time in between defects follows an exponential distribution with an average of 2.5 minutes. The rate parameter (λ) is the inverse of the average time between defects, so λ = 1/2.5 = 0.4 defects per minute.
Next, we can use the Poisson distribution formula:
P(k defects in t minutes) = (λt)^k * e^(-λt) / k!
We want to find the expected number of sim cards at the repair machine, which is the average number of defects that occur in the 2 minutes it takes to repair each sim card. So we can set t = 2 and solve for k:
P(k defects in 2 minutes) = (0.4 * 2)^k * e^(-0.4 * 2) / k!
We can use a table or calculator to find the probabilities for different values of k. For example, P(0 defects) = 0.329, P(1 defect) = 0.391, P(2 defects) = 0.195, etc.
To find the expected number of sim cards at the repair machine, we can multiply each probability by the corresponding number of sim cards (k) and add them up:
E(number of sim cards) = 0 * 0.329 + 1 * 0.391 + 2 * 0.195 + ...
This sum can be approximated using a calculator or spreadsheet. The answer will be the average number of sim cards that are at the repair machine at any given time, based on the Poisson distribution and the given parameters.

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Answer:

5

Step-by-step explanation:

-5*-1 = 5

Answer:

14

Step-by-step explanation:

First divide to get unit rate:

27/9= 3

Then divide.....again:

42/3= 14

Hope this helps! :)

Pls mark brainliest if correct:)

Answer:

Option h: 16h

Step-by-step explanation:

To get the answer to the question divide 480 by 30 to get the rate which is 16. So the answer would be H

The unit vector in the direction of v is (-0.852i + 0.524j).

To find the unit vector in the direction of v, we first need to find the magnitude of v. The magnitude of v is given by:

|v| = \(\sqrt{((-6.3)^2 + (3.7)^2)} = 7.385\)

Now, the unit vector in the direction of v is given by:

v_unit = v / |v|

where v_unit is the unit vector and v/|v| is the direction vector. Therefore,

v_unit = (-6.3i + 3.7j) / 7.385

Simplifying this expression, we get:

v_unit = -0.852i + 0.524j

So, the unit vector in the direction of v is (-0.852i + 0.524j).

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The answer is A. $85.50

The company spent a total of R62,544 on purchasing computers, textbooks, and stationery for the local school.

The company allocated R48,950 for purchasing computers for the local school. Additionally, they spent R13,594 on textbooks and stationery. To calculate the total amount spent, we need to add these two expenses together.  

R48,950 (computers) + R13,594 (textbooks and stationery) = R62,544

Therefore, the company spent a total of R62,544 on the school. This investment demonstrates their commitment to enhancing the educational resources and infrastructure of the local school. By providing computers, textbooks, and stationery, the company aims to contribute to the students' learning environment and facilitate their educational journey. Such investments can have a positive impact on the students' access to modern technology and learning materials, potentially improving their educational outcomes and opportunities for the future.

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The answer is 13 different winning scores are possible.

In order to solve any word puzzle

1. Read the problem: Students should first give the problem a quick once-over.

2. Highlight facts: After reading the issue through one more, students should underline or highlight crucial information, such as crucial numbers or words that indicate an operation.

3. Visualize the issue; you might find it useful to create a picture or a diagram.

4. Identify the operation(s): The following step is for pupils to identify the operation(s) they must carry out. Is it division, multiplication, or addition? What should be done?

Explanation:

So the answer is 13 different winning scores are possible.

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Answer:

2,100 $28 tickets were sold, and 3,900 $40 tickets were sold!

Step-by-step explanation:

So, we need to write two equations in order to solve this:

We will think of 28 dollar tickets as x, 40 dollar tickets as y.

Now lets make those equations:

\(x + y = 6,000\)

             and

\(28x+40y = 193,200\)

Now, to solve for x and y, lets set a value for x or y. In this case I will set the value of y:

I will do this by taking \(x + y = 6,000\), and subtracting x to the other side, to get y alone:

\(y = 6,000 - x\)

Now lets plug in y to our second equation:

\(28x + 40(6,000-x) = 193,2000\)

=

\(28x+240,000-40x = 193,200\)

Now combining like terms and solving for x we get:

\(-12x + 240,000 = 193,200\)

=

\(-12x = -46,800\)

=

\(x=3,900\)

Now that we know x, lets solve for y by plugging into our first equation!

\(3,900 + y = 6,000\)

=

\(y = 2,100\)

So now we know that our answer is:

2,100 $28 tickets were sold, and 3,900 $40 tickets were sold!

Hope this helps! :3

The z-scores for the different values of random variable x;

(a) Z = 2.25

(b) Z = 1.50

(c) Z = -1.75

(d) Z = 3.25

(e) Z = -2.25

(f) Z = 3.50

We are given different values of x which is a random variable along with the values of the mean and the standard deviation. We have to calculate the z-score for the given values of x. We will use the following formula to calculate the z-score.

z = (x - μ)/σ

In all the parts we have;

μ = 23

σ = 4

(a)x = 32

z = (x - μ)/σ

z = (32 - 23)/4

z = 9/4 = 2.25

(b) x = 29

z = (x - μ)/σ

z = (29 - 23)/4

z = 6/4 = 1.50

(c) x = 16

z = (x - μ)/σ

z = (16 - 23)/4

z = 7/4 = -1.75

(d) x = 36

z = (x - μ)/σ

z = (36 - 23)/4

z = 13/4 = 3.25

(e)  x = 14

z = (x - μ)/σ

z = (14 - 23)/4

z = -9/4 = -2.25

(f)  x = 37

z = (x - μ)/σ

z = (37 - 23)/4

z = 14/4 = 3.50

Therefore, the z-scores will be;

(a) Z = 2.25

(b) Z = 1.50

(c) Z = -1.75

(d) Z = 3.25

(e) Z = -2.25

(f) Z = 3.50

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The complete question is "Suppose the random variable x is best described by a normal distribution with μ=23 and σ=4. Find the z-score that corresponds to each of the following x-values.

(a) x=32

z=

(b) x=29

z=

(c) x=16

z=

(d) x=36

z=

(e) x=14

z=

(f) x=37

z=                    "

4.2 x 10-¹ is approximately 3 x 10^4 times larger than 1.4 x 10-5.