a bag contains 7 red balls, 9 blue balls, and 4 yellow balls. what is the minimum number of balls that must be selected to ensure that 4 balls of the same color are chosen?

The power set of {a, b}, or P({a, b}), is {{}, {a}, {b}, {a, b}}.P({a, b}) and P({0, 1}) are different sets.

The set of P({a,b}), also denoted as 2^{a,b}, represents the power set of the set {a, b}. The power set of a set is the set that contains all possible subsets of the original set, including the empty set and the set itself.

In this case, we have the set {a, b}, where a and b are elements of the set.

The power set of {a, b} is obtained by considering all possible combinations of elements from the original set.

The possible subsets of {a, b} are:

- The empty set: {}

- Individual elements: {a}, {b}

- The set itself: {a, b}

Therefore, the power set of {a, b}, or P({a, b}), is {{}, {a}, {b}, {a, b}}.

Now, let's consider P({0, 1}). Following the same process, we obtain the power set of {0, 1} as {{}, {0}, {1}, {0, 1}}.

Hence, P({a, b}) and P({0, 1}) are different sets.

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Answer:

Step-by-step explanation:

Combine like terms. ie, add the coefficient of like terms

y + y + y + 3 + 4 = 3y + 7

Answer:

Combine like terms.

First, the variables:

y+y+y=3y

Now the constants:

3+4=7

Answer: 3y+7

Step-by-step explanation:

According to the discount, the price of the tablet computer after the markup is $610.30.

In this problem, a store offered a 30% discount on a tablet computer that originally sold for $670. We can calculate the discounted price of the tablet computer by finding 30% of its original price and subtracting it from the original price.

Discounted price = Original price - Discount

Discounted price = $670 - 30% of $670

Discounted price = $670 - $201

Discounted price = $469

So, the discounted price of the tablet computer is $469.

The problem then asks us to find the price of the tablet computer after it is marked up by 30%. To do this, we need to add 30% of the discounted price to the discounted price.

Markup price = Discounted price + Markup

Markup price = $469 + 30% of $469

Markup price = $469 + $141.30

Markup price = $610.30

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I don't see any download yet

maybe is still loading

The correct answer is 'in statistical hypothesis testing, the null hypothesis and the alternative hypothesis are stated in terms of population parameter.

A population parameter is always used to express a statistical hypothesis: The null hypothesis is true if the test statistic's value is within the nonrejection zone.

We look for evidence supporting the null hypothesis when testing a statistical hypothesis. The null hypothesis and the alternative hypothesis are the two variants of the hypothesis that are typically used in research (called the experimental hypothesis when the method of investigation is an experiment).

According to the alternative hypothesis, a population parameter does not equal the given value. Usually, this number is zero, which is the null hypothesis value for an effect of zero.

You can reject the null hypothesis and favour the alternative hypothesis if your sample includes enough evidence to support it.

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the total number of people who know about the proposal 5 days after it was announced is 810.

The term \(3^ (t-1)\) represents the number of people who find out about the proposal on day t, which is equal to three times the number of people who knew about it on the previous day. The initial value of 10 represents the number of people who knew about the proposal on the first day.

For example, if we want to find out how many people know about the proposal 5 days after the celebrity proposes, we can plug t=5 into the formula:

N(5) =\(10* 3^(5-1)\) = \(10*3^4\) = \(10*81\) = 810

So the total number of people who know about the proposal 5 days after it was announced is 810.

the complete question is :

Assuming that the 10 people who know about the proposal on the first day do not forget or tell anyone else, we can use the following function to calculate the total number of people who know about the proposal t days after the celebrity proposes:

N(t) = \(10 * 3^(t-1)\)

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Answer:

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180°.

m<D + m<E + m<F = 180°

4x + 2x + m<F = 180

What is the measure of <F? It's not clear in the post.

Answer: here's the answers to the problems

6) 17

8) 2.5

Answer:

6.  17

8.  2.5

Step-by-step Explanation:

4 x 3 + 6+9/3          12/3 + 2+7/5-3 - 6

12 + 15/3                  4 + 9/2 - 6

12 + 5                       4 + 4.5 - 6

= 17                          8.5 - 6

                                = 2.5

In the given study, the sample is identified as "c. The 250 students that were monitored. In statistics, a sample is a subset of the population that has been chosen to represent the entire population for study and analysis. Hence, option c) is the correct answer.

Sampling is a crucial component of statistical research since it enables us to draw conclusions regarding the population's characteristics and behavior. A sample is a representative of the population as a whole, chosen to represent the characteristics of the population. It is drawn from a population to examine, evaluate and infer outcomes or generalizations of the entire population.

The given study aims to estimate the textbook costs of first-year students at Drummand University by monitoring the textbook cost of 250 first-year students. Therefore, "c. The 250 students that were monitored" is the sample in the study.

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Answer:

r = 10 cm

Step-by-step explanation:

r² = 8² + 6²

r² = 64 + 36 = 100

r = 10 cm

Answer:

10

Step-by-step explanation:16-6=10

The area of the surface obtained by rotating the curve x = 20 cos(3θ), y = 20 sin(3θ), where 0 ≤ θ ≤ π/2, about the x-axis is calculated using the formulA for surface area of revolution

To find the area of the surface, we can use the formula for the surface area of revolution. Given a curve defined parametrically by x = f(θ) and y = g(θ), where α ≤ θ ≤ β, the surface area obtained by rotating the curve about the x-axis is given by:

A = ∫[α,β] 2πy √(1 + (f'(θ))²) dθ

In this case, we have x = 20 cos(3θ) and y = 20 sin(3θ), with 0 ≤ θ ≤ π/2. Taking the derivatives, we find f'(θ) = -60 sin(3θ) and g'(θ) = 60 cos(3θ).

Plugging these values into the surface area formula and simplifying, we get:

A = ∫[0,π/2] 2π(20 sin(3θ))(√(1 + (-60 sin(3θ))²)) dθ

Evaluating this integral will give us the exact value of the surface area of the rotated curve about the x-axis within the given range of θ.

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After the value of y is 4 does the exponential function definitely surpasses the linear function.  

What is exponential function?

A function whose value is a constant raised to the power of the argument, especially the function where the constant is e.

Given

Use the graphing calculator to graph these functions: y1= 2x ; y2= 2x2 ; y3 = 2x.

As we can see y1=2x is a linear function and y3=2^x is a exponential function.

The graphs of y1 and y3 meet at 2 points i.e. at (1,2) and (2,4)

When you graph the equations their point of intersection is (2,4).

Therefore, when y > 4, the exponential function surpasses the linear function.

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Answer:

4

Step-by-step explanation:

edge 2022

These can not be the sides of a Triangle.

What is a triangle and the response?

Triangles are a particular kind of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here.

                       Three-sided polygons include triangles. Three triangle angles added together equal 180 degrees.

Property of triangle

Sum of any two sides > third Side

4 , 5 , 6

4 + 5 > 6 , 4 + 6 > 5 , 5 + 6 > 4

3 , 4 , 5

3 + 4 > 5 , 3 + 5 > 4  , 4 + 5 > 3

2 , 3 , 4

2 + 3 > 4   , 2 + 4 > 3  , 3 + 4>2

1  , 2   , 3

1  + 2  = 3  

Sum of 1 & 2  is not greater than 3

Hence, these can not be the sides of a Triangle.

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Answer:

Step-by-step explanation:

9x-1 + 5x-15 =180, 14x-16=180, x = 14

9x-1 + y-20 = 180, 126-1-20+y =180, y = 105

Answer: AB and AC

Step-by-step explanation:

Dont trust me on this one xP

The height of the quarter is given by the polynomial -16t^2 + 250 feet and the height of the dime is given by the polynomial -16t^2 - 10t + 100 feet.

To compare the height of the quarter and dime at any time t, we need to find the difference between their heights.

Let's first find the height of the dime when the quarter is released, which is at t=0:

Height of the quarter at t=0: 16(0)^2 + 250 = 250 feet

Height of the dime at t=0: -16(0)^2 - 10(0) + 100 = 100 feet

So, the initial height difference between the quarter and dime is 250 - 100 = 150 feet.

Now, let's find the height difference between the quarter and dime at any time t:

Height of the quarter at time t: 16t^2 + 250

Height of the dime at time t: -16t^2 - 10t + 100

So, the height difference at time t is:

(16t^2 + 250) - (-16t^2 - 10t + 100) = 32t^2 + 10t + 150

Therefore, the height difference between the quarter and dime at any time t is given by the polynomial 32t^2 + 10t + 150.

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When the population means are different, we expect to see a large t-statistic. This is because the t-statistic measures the difference between the sample mean and the population means, adjusted for the sample size and standard deviation.

If the population means are farther apart, the difference between the sample mean and the population means will be larger, resulting in a larger t-statistic. This is also reflected in the formula for the t-statistic, where the numerator is the difference between the sample mean and the population means, and the denominator is a measure of the variability of the sample. Therefore, a larger difference in population means will result in a larger t-statistic.
You asked if you should expect a large or small t-statistic if the population means are different. If the population means are different, you can expect a large t-statistic. This is because the t-statistic is calculated by dividing the difference between the sample mean and the hypothesized population mean by the standard error of the sample mean. When the population means are different, the difference between the sample mean and the hypothesized population mean will be larger, resulting in a larger t-statistic. This large t-statistic indicates that the observed difference is unlikely to have occurred by chance alone, suggesting that there is a significant difference between the two population means.

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Answer:

2406.17 cm³

Step-by-step explanation:

Data obtained from the question include the following:

Height (h) = 24.4 cm

Length of the base (L) = 17.2 cm

Volume (V) =..?

Next, we shall determine the area of the square base of the pyramid.

This can obtained as shown below:

Since the base is a square, we shall use the formula for calculating the area of a square to obtain the area of the square base of the pyramid.

Area of a square is given by :

Area (A) = Length (L) x Length (L)

A = L x L

A = L²

Length of the base (L) = 17.2 cm

Area (A) =...?

A = L²

A = 17.2²

A = 295.84 cm²

Finally, we shall determine the volume of the pyramid as follow:

Height (h) = 24.4 cm

Area (A) = 295.84 cm²

Volume (V) =.?

V = ⅓Ah

V = ⅓ × 295.84 × 24.4

V = 2406.17 cm³

Therefore, the volume of the pyramid is 2406.17 cm³.

The electric potential due to these charges at a point with coordinates x=4.0 m, y=0 is 0.

Given;

Charge, q1=+2.00 mCCharge,

q2=-5.00 mC

Distance, r= 5.0 m (Using Pythagoras theorem)

The expression for electric potential is,

V=k(q1/r1 + q2/r2)

Where;k = Coulomb's constant = 9 × 10^9 Nm^2/C^2q1 and q2 are the point chargesr1 and r2 are the distance from the point charge to the point where the electric potential is to be calculated

first, we need to calculate the electric potential due to the charge q1,

Electric potential due to q1V1= kq1/r1

Where r1 = 4.0 m and the distance between q1 and the point is equal to r1V1 = (9 × 10^9 Nm^2/C^2)(2.00 × 10^-3 C)/(4.0 m)

V1 = 9.00 × 10^5 V/m

Similarly, Electric potential due to q2V2= -kq2/r2

Where r2 = 5.0 m and the distance between q2 and the point is equal to r2V2 = - (9 × 10^9 Nm^2/C^2)(5.00 × 10^-3 C)/(5.0 m)

V2 = - 9.00 × 10^5 V/m

The total electric potential,

V= V1 + V2V = (9.00 × 10^5 V/m) + (-9.00 × 10^5 V/m)

V = 0

Answer: The electric potential due to these charges at a point with coordinates x=4.0 m, y=0 is 0.

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In a genogram, various symbols and lines represent different aspects of a person's familial relationships and attributes. Here's a breakdown of the symbols you mentioned:

1. Square: A square in a genogram indicates a male individual. It represents the person's gender and is used to distinguish between male and female family members.

2. Circle: A circle in a genogram indicates a female individual. It represents the person's gender and is used to distinguish between male and female family members.

3. Solid horizontal line: A solid horizontal line in a genogram represents a marital relationship between two individuals. The line connects a square (male) and a circle (female) to show that they are married or in a committed partnership.

4. Broken line: A broken line in a genogram represents a non-blood relationship, such as an adoptive parent-child relationship or a step-sibling connection. It is used to show relationships that are not based on biological ties.

5. X through a square/circle: An X through a square or a circle indicates that the individual is deceased. This symbol is used to show that the person has passed away and is no longer living.

6. Solid vertical line: A solid vertical line in a genogram represents a parent-child relationship. It connects an individual (either a square or circle) to their parent(s), showing the biological connection between the family members.

These symbols and lines help provide a visual representation of a person's family history and relationships, making it easier to analyze and understand the various connections within a family tree.

Overall, a genogram is a visual representation of a family tree that includes important information about relationships, health issues, and other relevant details. By understanding the various symbols and indicators used in a genogram, it is possible to gain a deeper understanding of family dynamics and relationships, as well as potential risk factors for various health conditions. As such, genograms are an important tool for healthcare providers, therapists, and other professionals working with individuals and families.

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Answer:

-5, -3, -1, 1

Step-by-step explanation:

Answer:

50.00-3.75n = b

Step-by-step explanation:

50.00 is the beginning balance she has on the gift card.

If she spends 3.75 every visit, and n represents the number of visits, then 3.75n will tell you how much she has spent with each visit.

1 visit: 50.00 - 3.75(1) = 46.25

2 visits: 50.00 - 3.75(2) = 42.50

3 visits: 50.00 - 3.75(3) = 38.75

Answer:

can you snap it again it's not clear

Answer:

3^2  = 9

(-4+5)^2-11+2^3 = -2

-2/9 or -9/2 ... re-read question is 3^2 dividing into (-4+5)^2-11+2^3

or the other way around... I think that there is a missing word...

3^2 "divided into"

vs 3^2 "divided by"

Step-by-step explanation:

27 ft. can be used to represent the water's surface if the platform is 15 ft. above the pool surface and the pool has a depth of 12 ft.

As Sadie stands on a platform that is 15 ft. above the pool surface. The pool has a depth of 12 ft. then, and the total height of the water surface is, the total hight,

The total height = distance between pool surface to platform + the depth of the pool

∵ The total height =  15 ft. + 12 ft.= 27 ft.

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A graph is said to represent a function if a vertical line drawn anywhere on the graph of a relation only intersects the graph once by  Slope of 3.75b + 5: 3.75

Example:

F(b) = 3.75b + 25

Axis interception points of 3.75b + 25:

X intercepts :(-20/3).

Y intercepts :(0.25)

Slope of 3.75b + 5:

3.75.

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Answer:

Step-by-step explanation:

100 +  100 + 6x + 6 + 12x - 8 = 360        Equation. Collect like terms.

198 + 18x = 360                                       Subtract 198 from both sides

18x = 360 - 198

18x = 162                                                 Divide by 18

x = 162/18

x = 9