The accompanying table shows the breakdown of a social media sites global users by age and​ gender, in millions. Complete parts a through f.
Male Female
13-17 years old 91 84
18-24 361 246
25-34 365 258
35-44 205 156
45-54 100 99
55-64 50 57
65 year and older 40 44
a. Determine the probability that a randomly selected person was a female.
[ ]​(Round to three decimal places as​ needed.)
b. Determine the probability that a randomly selected person was 18 to 24 years old.
[ ]​ ​(Round to three decimal places as​ needed.)
c. Determine the probability that a randomly selected person was a woman who was 35 years or older.
[ ]​ ​(Round to three decimal places as​ needed.)
d. Determine the probability that a randomly selected person was either a woman or 25 to 34 years old.
[ ]​ ​(Round to three decimal places as​ needed.)
e. Determine the probability that a randomly selected person was a man given that the student was 18 to 24 years old.
[ ]​ ​(Round to three decimal places as​ needed.)
f. Determine the probability that a randomly selected person was 25 to 34 years old given that the student was a man.
[ ]​ ​(Round to three decimal places as​ needed.)

If y equals 3, then the derivative of y with respect to t is -1.

Given that y2 = xy + 6, when y = 3, x'(t) = -1, we can determine y'(t).

We can start by differentiating both sides with respect to time (t).

Differentiating y2: 2y*y' = 2y'

Differentiating xy: x*y' + y*x' = x' + y'

Differentiating the constant 6: 0*y' + 0*x' = 0

Putting it all together:

2y' = x' + y'

Substituting in the given values, we have:

2y' = -1 + y'

Solving for y', we get:

y' = -1

Therefore, when y = 3, y'(t) = -1.

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To solve for y, we need to isolate y on one side of the equation.

-6 = 3/5y

Multiplying both sides by the reciprocal of 3/5, which is 5/3, we get:

(-6) × (5/3) = (3/5y) × (5/3)

Simplifying the left side:

-10 = y

Therefore, y = -10.

Answer:

y = -10

Step-by-step explanation:

I hope my answer is correct and you can understand my POW

Answer: x=5....................................                                                                                                                                              

Answer:

C)  There is a positive linear association between the math and science scores, with one of the data points being an outlier.

Step-by-step explanation:

Correlation measures how closely two variables are linked.  

If two variables are correlated, you can draw a line of best fit on the scatter plot.

From inspection of the given scatter plot:

All data points (with the exception of one) are very close to being in a straight line with a positive slope.  This is called a positive linear correlation.

As the one data point is far from the general pattern of the other points, it is an outlier.

There is a positive linear association between the math and science scores, with one of the data points being an outlier.

Answer:

cot 0 = √3/3 and tan 0 = √3

Step-by-step explanation:

We can use the following trigonometric identities:

cot θ = 1/tan θ

sec^2 θ = 1 + tan^2 θ

Given sec θ = 2 and sin θ > 0, we can use the identity sec^2 θ = 1 + tan^2 θ to find tan θ:

sec^2 θ = 1 + tan^2 θ

2^2 = 1 + tan^2 θ

tan^2 θ = 3

tan θ = √3

Now that we know tan θ, we can use the identity cot θ = 1/tan θ to find cot θ:

cot θ = 1/tan θ

cot θ = 1/√3

cot θ = √3/3

Therefore, cot 0 = √3/3 and tan 0 = √3.

The city's population was changing by approximately 170.088 thousand persons/year between 2029 and 2037.

The population of a city can be modeled by P(t) = 170.088 thousand persons, where t is the number of years after 2000. To find out how rapidly the city's population was changing between 2029 and 2037, we need to calculate the difference in population between these two years and divide it by the number of years.

First, we need to find the population in 2029 and 2037. We can do this by plugging in the values of t into the equation:

P(29) = 170.088 * 29 = 4932.552 thousand persons

P(37) = 170.088 * 37 = 6293.256 thousand persons

Next, we need to find the difference in population between these two years:

P(37) - P(29) = 6293.256 - 4932.552 = 1360.704 thousand persons

Finally, we need to divide this difference by the number of years to find the rate of change:

1360.704 / (37 - 29) = 170.088 thousand persons/year

Therefore, the city's population was changing by approximately 170.088 thousand persons/year between 2029 and 2037.

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Therefore , the solution of the given problem of unitary comes out to be Roland consequently closed 18 deals this week.

The job can be finished by multiplying the information variable obtained using this kind of nanosection all through add to the output of two people who used the unilateral strategy. Fundamentally, this entails that, whenever a desired outcome expression materialises, either the stated individual is recognised or, in reality, the pigment of both massive productions is skipped. A variable fee of Inr ($1.01) might have been necessary for forty pens.

Here,

Say Roland sold "x" number of items this week.

Chester then generated "x + 3" revenue.

Following are the numbers to determine Roland's earnings:

=> $186 + ($11 x x) = $186 + $11x for base pay (earnings per transaction x number of sales).

Chester's income can be determined using the formula below:

Base salary plus (Earnings per transaction multiplied by the quantity of sales)

=> $48+ ($16 x (x + 3))

=> $48 + $16x + $48

=> $96 + $16x.

They both earned the same sum, so we can set their earnings to be equal and find x:

=> $186 + $11x = $96 + $16x

When we take away $96 and $11x from both sides, we arrive at:

=> $90 = $5x

Adding $5 to both edges gives us:

=> x = 18

Roland consequently closed 18 deals this week.

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To show that ||p1 - p2|| = ||Rp1 - Rp2||, where p1 and p2 are vectors and R is a rotation matrix, we can use the properties of a vector and the properties of a rotation matrix.

First, recall that the magnitude of a vector, ||p1||, can be expressed as the square root of the sum of the squares of the components of the vector. Thus, ||p1 - p2|| can be expressed as the square root of the sum of the squares of the components of p1 minus the components of p2.

Furthermore, recall that a rotation matrix, R, is an orthogonal matrix that has a determinant of 1 and preserves the magnitude of a vector. Thus, the magnitude of Rp1 is equal to ||p1|| and the magnitude of Rp2 is equal to ||p2||.

Using these properties, we can deduce that ||Rp1 - Rp2|| is equal to the square root of the sum of the squares of the components of Rp1 minus the components of Rp2. As both ||p1 - p2|| and ||Rp1 - Rp2|| are equal to the square root of the sum of the squares of the components of p1 minus the components of p2, we can conclude that ||p1 - p2|| = ||Rp1 - Rp2||.

Hence proved.

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The length of the garden is 2x+3 = 2(12)+3 = 27 feet.

Let's assume that the width of the garden is "x" feet.

Then, the length of the garden would be "3 feet more than twice its width", which can be expressed as "2x + 3" feet.

Perimeter is the total distance around the boundary of a two-dimensional shape. In the case of a rectangle, the perimeter is calculated by adding up the lengths of all four sides of the rectangle. If the length and width of the rectangle are L and W respectively, then the perimeter P is given by:

P = 2L + 2W

The perimeter of the garden is given as 78 feet.

Perimeter of a rectangle = 2(length + width)

Substituting the values we get,

78 = 2(2x+3+x)

78 = 2(3x+3)

78 = 6x + 6

6x = 78 - 6

6x = 72

x = 12

Therefore, the width of the garden is 12 feet.

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The total area of the shape is (8+2x) ( 10+2x)

What is the area?

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface.

A rectangle is a type of quadrilateral with parallel sides equal to each other and four equal 90-degree vertices. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.

Total area of the shape = length* width

From the figure,

length = (x+10+x)

width = (x+8+x)

So, total area of the shape = (x+10+x) * (x+8+x) = ( 10+2x)(8+2x)

 Or

The total area of the shape = (8+2x) ( 10+2x)

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a) Reasoning behind the suspicion of the distribution being skewed to the right A skewed distribution can be identified when a few large observations drive the mean to the right of the median.

b) We can estimate the probability that 100 people selected at random had worked for their employers an average of 10 years or more using the central limit theorem.

We can suspect that the distribution of the length of time people work at a job may be skewed to the right because the mean (6.2 years) is less than the median. If the distribution were perfectly symmetric, the mean and median would be equal.

The fact that the mean is less than the median indicates that there may be some long-term employees (outliers) that are pulling the median to the right, hence the skewness to the right.

The central limit theorem, which asserts that the distribution of sample means tends to be normal as sample size grows, can be used to estimate the likelihood that 100 employees chosen at random had worked for their employers for an average of 10 years or longer.

Therefore, if we take a large enough sample (in this case, 100), we can assume that the sample mean follows a normal distribution with a mean of 6.2 years and a standard deviation of 4.5 years divided by the square root of 100, which is 0.45 years.

On the other hand, we cannot estimate the probability that an individual had worked for their employer for 10 years or more, because the distribution of the length of time people work at a job is not specified.

The mean and standard deviation only describe the distribution of the population, not the distribution of individuals within the population. Additionally, individuals may have different reasons for leaving their jobs, making it difficult to predict the length of time they will work at their job.

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In either instance, once we've located the point of rotation, we can test it triangle by seeing if rotating any point in A'B'C' by 90 degrees around this point gives us the matching point in A"B"C".

A triangle is a polygon because it has four or more sections. It features a simple rectangular shape. A triangle ABC is a rectangle with the edges A, B, and C. When the sides are not collinear, Euclidean geometry produces a single planar and cube. A square is a rectangle if it has three functions and three angles. The corners are the points where the three edges of a triangle meet. The sides of a triangle sum up to 360 °.

Triangle A'B'C' denotes the reflection of triangle ABC across the line y = x. The point is obtained by reflecting a point (x,y) across the line y = x. (y,x). As a result, by swapping the x and y coordinates of A, B, and C, the coordinates of A', B', and C' may be determined.

Consider the 90-degree rotation of triangle A'B'C' around an unknown point.

In either instance, once we've located the point of rotation, we can test it by seeing if rotating any point in A'B'C' by 90 degrees around this point gives us the matching point in A"B"C".

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Assuming that the situation can be expressed as a linear cost function, the cost function in this case is given as C(x) = 20x + 4000.

Linear cost function is a function of a straight line, with the function's general form being:

y = mx + b

Where:

y = dependent variable

x = independent variable

m = slope of the line

b = y-intercept

To determine the cost function from the given information,

Marginal cost = 20 items/ per item

Total item produced = 190 items

Total cost to produce = $8000

Then, the equation will be the total cost to produce the item is given as the sum of fixed costs and variable costs as shown below:

Total cost = Fixed costs + Variable costs

Since we already know the variable cost per item produced and the total item produced, we can calculate the variable cost as follows:

Variable cost = Marginal cost × Total item produced= 20 × 190= $3,800

Using the variable cost and the total cost, we can now calculate the fixed cost as follows:

Fixed cost = Total cost - Variable cost= $8000 - $3800= $4,200

Hence, the linear cost function is given as:C(x) = 20x + 4000

Therefore, C(x) = 20(190) + 4000= $7,800

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In fraction form, the answer is 131842/100000.

To evaluate the expression c412p312, you need to divide 412 by 312. The answer is 1.31842, rounded to four decimal places.

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Answer:

The answer is C, 1,500.

Step-by-step explanation:

There are 80% that know one language.

There are 10% that know two languages.

*There are 5% that know three languages.

*There are 3% that know four languages.

*There are 2% that know five languages.

5% + 3% + 2% = 10%

15,000 x .10 = 1,500

(a) The constant solutions of the equation are 0, 5, 7.

(b) The values of y for which y is increasing are (0, 5) and (7, ∞).

(c) The values of y for which y is decreasing are (5, 7).

A function y(t) satisfies the differential equation dy/dt = y^4 − 12y^3 + 35y^2

(a) The constant solutions of the equation are the values of y that make dy/dt = 0. To find these values, we can factor the equation:

dy/dt = y^2(y-5)(y-7) = 0

The constant solutions are y = 0, y = 5, and y = 7. So, the constant solutions of the equation are 0, 5, 7.

(b) For what values of y is y increasing? We can see that y is increasing when dy/dt > 0. From the factored equation, we can see that this happens when y > 7 or when 0 < y < 5. So, the values of y for which y is increasing are (0, 5) and (7, ∞).

(c) For what values of y is y decreasing? We can see that y is decreasing when dy/dt < 0. From the factored equation, we can see that this happens when 5 < y < 7. So, the values of y for which y is decreasing are (5, 7).

(a) The constant solutions of the equation are 0, 5, 7.

(b) The values of y for which y is increasing are (0, 5) and (7, ∞).

(c) The values of y for which y is decreasing are (5, 7).

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Answer:

The unit price is $0.19 (19 Cents)

Step-by-step explanation:

Divide the price by the number of items

$4.75 ÷ 25

The answer is (d) Goods and services exchanging labor for income. In the circular-flow diagram, Molly is a part of the households who provide labor in the factor market, and she receives income in the form of wages from the firms who participate in the goods and services market.

The circular-flow diagram shows the flow of money, goods, and services between households and firms in an economy. In the context of this diagram, an employee like Molly, who delivers packages for a company, participates in the markets for goods and services by exchanging packages for wages, rent, and profit. She does not participate in the markets for factors of production, as that would involve exchanging her labor for income. The diagram helps to visualize the interconnectedness of different markets in an economy and how money and goods flow between households and firms.

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Answer:

See explanation.

Step-by-step explanation:

(0,-6) --> -6x-5y=30

(0,3) --> 3x+2y=6

(4,-1) --> x-4y=8

(1,-5) --> -5x+y=-10

Answer:

This statement is FALSE

Step-by-step explanation:

If the distance from u to v equals the distance from u to v, it does not necessarily mean that u and v are orthogonal.

Distance is a scalar quantity and it measures the length between two points. Orthogonality, on the other hand, is a concept that relates to the angle between two vectors. Two vectors are orthogonal if their dot product is zero, which means that they are perpendicular to each other.

Therefore, it is possible for two vectors to have the same distance from a point without being orthogonal to each other.

The teacher can line up the students in 3991680 ways so that no two boys stand next to each other.

Given, A class has nine boys and eleven girls.

Any two boys will fight if they are next to each other.

Ways can the teacher line up the students so that no two boys stand next to each other:

The total number of students = 9 + 11 = 20.

To count the total number of arrangements such that no two boys stand next to each other, we will count the total number of arrangements of all students and then subtract the arrangements where two boys are together.

Let's take two cases :

1. Case 1: When a girl stands on both ends, there are 11 ways to do this.

After placing the girls, the number of possible ways to arrange boys in such a way that no two boys are standing next to each other can be calculated using the permutation formula.

(n - r + 1)P(r) = (9 - 1 + 1) P(9) = 9P9 = 9!

Thus, the total number of arrangements in this case = 11 × 9!

2.Case 2: When a boy stands on one end and a girl on the other, there are 2 ways to do this.

After placing the girl and boy, the number of possible ways to arrange boys in such a way that no two boys are standing next to each other can be calculated using the permutation formula.

(n - r + 1)P(r) = (9 - 1)P(8) = 8P8 = 8!

Thus, the total number of arrangements in this case = 2 × 8!

Thus, the total number of arrangements in which no two boys stand next to each other is = (11 × 9!) + (2 × 8!)

= 11 × 362880 + 2 × 40320= 3991680.

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The simplified expression is 4x(x^4 + y).

The expression 4x^5 + 4xy has two terms is 4x^5 and 4xy.

Both terms have a common factor of 4, so we can factor that out to simplify the expression

4( x^5 + xy )

Now we can see that the two terms inside the parentheses have a common factor of x, so we can factor that out as well

4x( x^4 + y )

This is the simplified form of the original expression. We factored out the common factor of 4 and then factored out the common factor of x from the two terms inside the parentheses.

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The given question is incomplete, the complete question is:

Simplify the expression 4x^5+4xy

The answer of the given question based on the Probability the answer is Janna will use 26 marshmallows and 39 graham crackers to make 13 s'mores.

In probability theory,  event is set of possible outcomes of experiment or trial.  event can be a single outcome, like  rolling a 3 on a six-sided die, or a combination of outcomes, like rolling  even number on  six-sided die.

Events are usually denoted by capital letters, like A, B, or C. The set of all possible outcomes of experiment is called  sample space and is usually denoted by  symbol Ω.

To make one s'more, Janna needs 2 marshmallows and 3 graham crackers (since 4 marshmallows and 8 graham crackers make 2 s'mores).

Therefore, to make 13 s'mores, Janna will need 26 marshmallows (2 marshmallows per s'more × 13 s'mores) and 39 graham crackers (3 graham crackers per s'more × 13 s'mores).

So the answer is: Janna will use 26 marshmallows and 39 graham crackers to make 13 s'mores.

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The image of (-5, 9) after a reflection over the y-axis is (5, 9).

What is axis?

In mathematics, an axis is a straight line around which an object is symmetrical. It is often used in geometry to describe the reference line or reference point about which a figure is symmetric or rotates.

In a two-dimensional coordinate system, the x-axis and y-axis are two perpendicular lines that intersect at the origin (0,0). The x-axis is typically the horizontal axis, while the y-axis is the vertical axis.

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The quadratic fοrmula can be used tο get the sοlutiοn tο the quadratic prοblem x² + 6x + 7 = 0. x=(-b (b2 - 4ac)) / 2a

As the equatiοn has the fοrm ax² + bx + c = 0, it may be written as where a = 1, b = 6, and c = 7.

Adding these values tο the fοrmula yields the fοllοwing results:

x = (-6 ± √(6² - 4(1)(7))) / 2(1)

If we simplify, we get:

x = (-6 ± √(36 - 28)) / 2

x = (-6 ± √8) / 2

x = (-6 ± 2√2) / 2

x = -3 ± √2

As a result, the fοllοwing are the answers tο the quadratic equatiοn x2 + 6x + 7 = 0:

x = -3 + √2 \sx = -3 - √2

Hence, nοthing οf the given οptiοns is apprοpriate.

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Answer:

21 is your answer

Step-by-step explanation:

The combination formula is used to calculate the number of ways to choose r items from a set of n items without regard to order. The formula is:

C(n,r) = n! / (r! * (n-r)!)

where n is the total number of items and r is the number of items to be chosen.

Using this formula, we can solve the problem when n = 7 and r = 5 as follows:

C(7,5) = 7! / (5! * (7-5)!)

= (7 x 6 x 5 x 4 x 3 x 2 x 1) / [(5 x 4 x 3 x 2 x 1) x (2 x 1)]

= (7 x 6) / (2 x 1)

= 21

Therefore, there are 21 ways to choose 5 items from a set of 7 items without regard to order.

This is the potential function for the exact equation \frac{y}{x} 6x (\ln{x}-2)y'.

The potential function for the exact equation \frac{y}{x} 6x (\ln{x}-2)y' is \frac{y^2}{2}+6x^2y-2xy.

To find the potential function, we need to integrate the first term with respect to y and the second term with respect to x. This gives us:

\int\frac{y}{x}dy = \frac{y^2}{2}+C_1

\int 6xy dx = 3x^2y+C_2

We can then combine these two integrals to get the potential function:

\frac{y^2}{2}+3x^2y+C_1+C_2

Since we are looking for a potential function, we can ignore the constants and just focus on the terms with variables. This gives us:

\frac{y^2}{2}+3x^2y

We can also simplify this by factoring out a y:

y(\frac{y}{2}+3x^2)

This is the potential function for the exact equation \frac{y}{x} 6x (\ln{x}-2)y'.

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The rate of change of the function y=6x-10 is 6, since the coefficient of x represents the slope of the line.

The rate of change of a function is a measure of how much the output of the function changes with respect to a change in the input variable. In the case of a linear function, the rate of change is constant and represents the slope of the line. The slope is the ratio of the change in the output (y) to the change in the input (x).

For example, the function y = 6x - 10 has a rate of change of 6. This means that for every increase of 1 in the input variable (x), the output variable (y) will increase by 6. Similarly, for every decrease of 1 in the input variable, the output variable will decrease by 6.

The rate of change is an important concept in mathematics and is used in a variety of applications, such as in physics, economics, and engineering. It allows us to understand how much one variable changes in response to a change in another variable, and it is a fundamental building block for more complex mathematical models.

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a) The best response function of player i given action choice by player j is any demand between 0 and 1/2

b) The best response function of player 1 in a graph where player2's action is on the horizontal axis and that of player 1 on the vertical axis is illustrated below graph.

c) By using the  Nash equilibria, the best response function of player 1 is a step function with a discontinuity at 1/2.

Let's start with player 1. Suppose player 2 demands z2, then player 1's best response would be to demand the remaining amount, which is (1-z2). If z2 > 1/2, then player 1's best response would be to demand 0. If z2 = 1/2, then any demand between 0 and 1/2 would be a best response for player 1. If z2 < 1/2, then any demand between 1/2 and 1 would be a best response for player 1. Therefore, the best response function of player 1 can be written as follows:

BR1(z2) = {

1-z2 if z2 ≤ 1/2

0 if z2 > 1/2

}

If z1 = 1/2, then any demand between 0 and 1/2 would be a best response for player 2. If z1 < 1/2, then any demand between 1/2 and 1 would be a best response for player 2. Therefore, the best response function of player 2 can be written as follows:

BR2(z1) = {

1-z1 if z1 ≤ 1/2

0 if z1 > 1/2

}

To plot the best response function of player 1, we can use a graph where player 2's action is on the horizontal axis, and that of player 1 is on the vertical axis. The best response function of player 1 is a step function with a discontinuity at z2 = 1/2. It starts at (0,1), then drops to (0.5,0.5), and finally reaches (1,0).

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