I need help with this problem, look at image below.
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The probability of randomly selecting a woman from a city depends on the proportion of women in the city's population.

The probability of selecting a woman from the city can be determined by the proportion of women in the population.

Let's assume there are 1000 people in the city, with 500 being women and 500 being men. In this case, the probability of randomly selecting a woman would be 500/1000, or 0.5 (or 50%).

However, if there are more or fewer women in the city, the probability will change accordingly.

For example, if there are 600 women and 400 men, the probability would be 600/1000, or 0.6 (or 60%).

Therefore, the probability of randomly selecting a woman from the city depends on the ratio of women to the total population.

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Answer:

x=-5/9,5/9

Step-by-step explanation:

The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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Answer:

Step-by-step explanation:

Answer:

140.5 square yards

Step-by-step explanation:

split the triangle from the shape: 8+7=15yd

area of triangle = 1/2 x base x height

= 1/2 x 5 x 15

=37.5 square yards

split the rectangle from the shape: 7+2=9yd

area of rectangle = length x width

= 11 x 9

= 99 square yards

split the square from the shape

area of square = n squared

= 2^2

= 4 square yards

add them all up: 37.5+99+4

= 140.5 square yards is the final answer

my bad if you can't read the working out in the picture

isosceles triangles means that the two bottom angles and sides are equal

therefore, you can set R and T equal to each other:

(15x-31)=(9x+11)

(get x to one side)

15x=9x+42

6x=42

x=7

now you can plug x back into the equations:

15(7)-31

105-31

74

R and T = 74

all triangles' internal angles = 180

therefore you can add the two angles then subtract them from 180

74+74=148

180-148=32

S should be 32 :)

Answer: B.Side side side similarity theorem

Step-by-step explanation:

Hope this helps <3

^^^^ B.Side side side similarity theorem is correct

i just took the test and it was right!

Answer:

x = -6/7

Step-by-step explanation:

We must substitute in the values and solve for x

\(r = 7x + 7y\\(8) = 7x + 7(2)\\8 = 7x + 14\\8 - 14 = 7x + 14 - 14\\-6 = 7x\\-6/7 = 7x/7\\x = -6/7\)

Answer:

x = 55°

Step-by-step explanation:

Inscribed Angle Theorem says that the angle inside the circle is equal to 0.5 times the measurement of the arc it span. For example, the 70° spans 140° of the arc.

Create two equations to solve for x and r.

x = 0.5r

2r + 2(70) = 360

2r + 140 = 360

2r = 220

r = 110

x = 0.5 * 110

x = 55°

Using Delta y = f'(x) Delta x to find a decimal approximation of the radical expression, we get the value found using Delta y f' (x) Delta x is 124.176.

The Delta y = f’(x) Delta x is the linear approximation formula used in calculus to estimate the value of an unknown function based on its derivative at a particular point.

In order to solve the problem using Delta y = f’(x) Delta x, we first have to rewrite the radical expression in terms of a function.

Let the function f(x) = sqrt(x) represent the radical expression.

Then, we will find the value of f'(x) by differentiating the function f(x) using the Power Rule of differentiation.

f(x) = sqrt(x) f'(x) = 1/2x^(-1/2)

Next, we will substitute the given value of x in the function f(x) and f’(x) to solve for Delta y = f'(x) Delta x.

Given, x = 124

Delta x = 2 Δy = f’(x) Δx = 1/2 * 124^(-1/2) * 2 = 0.1762

Hence, the decimal approximation of the radical expression is 124.176.

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Answer:

103 students tickets were sold

Step-by-step explanation:

103 times $5 = $515

212 times $8 = $1696

$515 + $1696 = $2211

The probability that the counselor is assigned to work with the nursing majors is 1/4. The probability is an example of theoretical probability.

To determine the probability that a counselor is assigned to work with nursing majors, we need to know how many categories there are in total and how many of those categories are nursing majors.

If there are four categories in total, and one of those categories is nursing majors, then the probability of being assigned to work with nursing majors is:

= 1/4

= 0.25.

Also, this depicts theoretical probability because we are calculating the probability of an event based on the assumption that each category is equally likely to be assigned to the counselor.

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The expected value is the long-term average outcome of a random variable. It is calculated by multiplying each possible outcome by its probability and summing them up. In simpler terms, it represents the average value we expect to get over many trials.

The expected value is a concept in probability and statistics that represents the long-term average outcome of a random variable. It is also known as the mean or average. To calculate the expected value, we multiply each possible outcome by its probability and sum them up.

For example, let's say we have a fair six-sided die. The possible outcomes are numbers 1 to 6, each with a probability of 1/6. To find the expected value, we multiply each outcome by its probability:

Summing up these values gives us:

1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6 = 21/6 = 3.5

Therefore, the expected value of rolling a fair six-sided die is 3.5. This means that if we roll the die many times, the average outcome will be close to 3.5.

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Given :

A carton of 12 eggs or a carton of 18 eggs was the better buy. A carton of 12 eggs cost $2.39, and a carton of 18 eggs cost $3.39. Unit price of the 12-egg carton = ($2.39)(12 eggs) = $28.68 per egg Unit price of the 18-egg carton = ($3.39)(18 eggs) = $61.02 per egg The 12-egg carton has the lower unit cost, so it is the better buy.

To Find :

What was her first error.

Solution :

Her first error is to find Unit price of egg in each carton.

To find, unit price we should divide total amount by number of units :

Unit price for carton of 12 eggs, $ (2.39)/12 = $0.199 .

Hence, this is the required solution.

Answer:

She is right, however her explanation is wrong.

In order to find the unit price, you need to divide the amount by the cost.

You will then see that 12 divided by 2.39 < 18 divided by 3.39.

The smaller unit price is obviously the better buy.

Step-by-step explanation:

Answer is 4th statement "Yes, the volume of the trophy is 433. 333 cm³".

To find the volume of the trophy,

Use the formula V = (1/3)xBxh,

Where B is the area of the base and h is the height.

Since the base of the trophy is a square with an edge of 10 cm,

its area is 10x10 = 100 cm².

The height of the trophy is the slant height of the pyramid, which is given as 13 cm.

Using the formula, we can calculate the volume of the trophy as,

V = (1/3)x100x13

   = 433.33 cm³.

Therefore, the answer is: Yes, the volume of the trophy is 433.33 cm², which is less than the 1,000 cm³ of aluminum available, so there is enough aluminum to cast the trophy.

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Answer:

it is option C

Step-by-step explanation:

Answer: B.

Step-by-step explanation:

the solution to the equation is x=12

The distributive property is defined as

Let us now solve the equation.

5(x - 6) = 2(x + 3)

Using the distributive property, simplify the parentheses on both sides.

5(x - 6) = 2(x + 3)

5x - 30 = 2x + 6

The parenthesis was simplified. However, we have one x term on one side and another x term on the other.

5x - 30 - 2x = 2x + 6 - 2x

3x - 30 = 6

We only have an x term on one side of the equation now.

To begin, reverse the subtraction by adding 30 to either side of the equation.

To keep an equation balanced or true, we do the identical operation on both sides.

3x - 30 + 30 = 6 + 30

3x = 36

We're getting close to an answer. Only one more step.

The x term is multiplied by 3.

We can undo the multiplication operation by dividing both sides by 3.

3x / 3 = 36 / 3

x = 12

So, x is equal to 12.

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Answer:

300ft^3

Step-by-step explanation:

10ft. by 5ft. by 6ft? =300ft^3

The volume of the box with the dimensions of 10 ft x 5 ft x 6 ft is 300 cubic feet.

The volume of cuboid is given by -

V{C} = Length x Breadth x Height

Given is a box with the dimensions of 10 ft x 5 ft x 6 ft.

We can write the volume of the box as -

V{b} = L x B x H

V{b} = 10 x 5 x 6

V{b} = 50 x 6

V{b} = 300 cubic feet

Therefore, the volume of the box with the dimensions of 10 ft x 5 ft x 6 ft is 300 cubic feet.

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Answer:

true

Step-by-step explanation:

Answer:

Very good art and I think true

Step-by-step explanation:

Answer:

Input is 5

Output is -18

Step-by-step explanation:

In this example i believe the linear function has a pattern.

In the Input it goes 1, 2, 3, and then 4. If we continue this pattern we would then know that n equals 5.

In the Output it goes -10, -12, -14, and then -16. If we continue this pattern we would then know that the empty box equals -18.

I hope this helps have a great day :)

Answer:

16 is equivalent to 8 12 and 64

Step-by-step explanation:

To resolve a trial charge, contact the service provider, review terms and conditions, gather evidence, and dispute with your bank or credit card provider. Stay calm, professional, and respectful in your communication.

To address this issue, you can follow these steps:

1. Contact the company: Reach out to the company or service provider that charged your account. Explain the situation and provide any relevant details, such as the date of the trial and when you canceled the subscription. Ask for a refund and clarification on why you were charged.

2. Review terms and conditions: Check the terms and conditions of the trial your kids participated in. Look for any information regarding automatic subscription renewal or charges after the trial period ends. This will help you understand if there were any misunderstandings or if the company is in the wrong.

3. Gather evidence: Collect any evidence that supports your claim, such as cancellation emails or screenshots of the trial period. This will strengthen your case when communicating with the company.

4. Dispute the charge with your bank: If you don't receive a satisfactory response from the company, you can contact your bank or credit card provider to dispute the charge. Provide them with all the relevant information and evidence you've gathered. They can guide you through the process of disputing the charge and potentially reversing it.

Remember to stay calm and professional when communicating with the company or your bank. It's important to resolve the issue in a respectful manner.

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The probability of drawing a complementary event of drawing a red letter = 11/13.

Probability is the ratio of a situation's favourable outcomes to all other possible outcomes.The symbol x can be used to express the quantity of successful outcomes for an experiment with 'n' outcomes. The following formula can be used to determine an event's probability.

Positive Outcomes/Total Results = x/n = Probability (Event)

In the given question,

Total number of alphabets = 26.

No. of red coloured alphabets = 4

Now, the probability of drawing a red coloured alphabet:

P(R) = 4/26

= 2/13

We need the probability of the complementary event, so:

Probability(1-R) = 1-2/13

= (13-2)/13

= 11/13

Therefore, the probability of drawing a complementary event of drawing a red letter = 11/13.

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Answer:

21

Step-by-step explanation:

His number is 21

21 - 12 = 9

9 times -2 = -18

Hope this helps!!

Answer:

21

_____________________

The area that  Venn both circles in a Venn diagram depict the joining of the two groups, so Option D is the correct response in this case.

An illustration of the connections between sets is a Venn diagram. It is made up of overlapping regions that signify the overlap of the sets and one or more circles that each indicate a set. Each set is frequently enclosed within a single circle when drawing the circles, however, this isn't always required. John Venn, a British philosopher, and scholar who popularized Venn diagrams in the late 19th century is the name of the diagram type. They are extensively used to demonstrate and evaluate set relationships in maths, logic, statistics, and other disciplines.

given

In set theory, the union of the sets X and Y is denoted by (X U Y). The combination of all items that are either in set X, set Y, or both is the merger of the two sets.

The area that crosses both circles in a Venn diagram represents the joining of the two groups.

Therefore, in order to identify which of the 4 Venn diagrams corresponds to (X U Y), we would need to search for the diagram in which the area that overlaps both circles corresponds to all of the components in sets X and Y taken together.

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Question;

Which of the four Venn diagrams represent (X U Y)?

Answer:

1200 seats

Step-by-step explanation:

 x    =   660

100        55

55x = 66,000

x = 1200

The total number of seats in the theater will be 1200.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

A middle school took all of its 6th-grade students on a field trip to see a play. The students filled 660 seats, which was 55% of the total number of seats in the theater.

The total number of seats in the theater will be

Let x be the total number of seats. Then we have

55% of x = 660

0.55x = 660

x = 660 / 0.55

x = 1200

The total number of seats in the theater will be 1200.

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Answer:

Step-by-step explanation:

(-x,-y)

so T' is (-7,4)

the answer is C

Answer:

10 and 8

Step-by-step explanation:

Answer:

10 and 8

Step-by-step explanation:

We know that 10 and 8 add up to 18.

Now lets check the difference.

10-8=2.

Answer: That would be line XY.