a high school offers these statistics: 25% of incoming students come from single-parent homes. 75% of incoming students come from two parent homes. 42% of incoming students from single parent homes eventually go on to get a college education.58% of incoming students from two parent homes eventually go on to get a college education. what percent of incoming students eventually go on to get a college education? group of answer choices

Answer:

Step-by-step explanation:

\(n(n+1)=240\\\\n^2+n-240=0\\\\n=\dfrac{-1\pm\sqrt{1-4(-240)}}{2}=\dfrac{-1\pm\sqrt{1+960}}{2}=\dfrac{-1\pm31}{2}\quad\wedge\quad n\in N_+\\\\n=15\)

if n is even number then (n+1) is odd number and if n is odd number then (n+1) is even number

The product of numbers where one of them is even will always be even.

55 is odd number so it is not term of this sequence.

The intergration of ∫2ln(x)xdx is ln(x)x^2 + x^2 + C (Option d)

To evaluate the integral ∫2ln(x)xdx, we can use integration by parts.

Let's assume u = ln(x) and dv = 2x dx. Then, we can find du and v using these differentials,

du = (1/x) dx

v = ∫dv = ∫2x dx = x^2

Using the formula for integration,

∫u dv = uv - ∫v du

we have:

∫2ln(x)xdx = uv - ∫v du

= ln(x) * (x)^2 - ∫(x)^2 * (1/x) dx

= ln(x) * (x)^2 - ∫x dx

= ln(x) * (x)^2 - (1/2) * (x)^2 + C

= x^2 (ln(x) - 1/2) + C

Therefore, the correct answer is d. ln(x)x^2 + x^2 + C.

To learn more about Integration visit:

https://brainly.com/question/30094386

#SPJ11

Answer:

Step-by-step explanation:

Let's assume the initial number of men at the exhibition is 10x, and the initial number of women is 3x.

After 110 men left, the number of men remaining is 10x - 110.

The total number of people remaining is (10x - 110) + (3x) = 13x - 110.

According to the given information, the number of men remaining (10x - 110) is 5/12 of the total number of people remaining (13x - 110). We can write this as an equation:

10x - 110 = (5/12)(13x - 110)

To solve this equation, we can start by simplifying both sides:

10x - 110 = (65/12)x - (55/6)

To get rid of the fractions, we can multiply both sides of the equation by 12:

12(10x - 110) = 65x - 110(2)

120x - 1320 = 65x - 220

Next, we can bring the x terms to one side and the constant terms to the other side:

120x - 65x = 1320 - 220

55x = 1100

Dividing both sides by 55, we find:

x = 20

Now, we can substitute the value of x back into the initial expressions to find the number of men and women:

Number of men = 10x = 10(20) = 200

Number of women = 3x = 3(20) = 60

Therefore, there were 60 women at the exhibition

Hope this answer your question

Please rate the answer and

mark me ask Brainliest it helps a lot

Answer:

a = 6

b = 8

c = -7

Step-by-step explanation:

In standard form, we have ;

y = ax^2 + bx + c

Here, we have;

6x^2 + 8x - 7

a is the coefficient of x^2 which is 6 in this case

b is the coefficient of x which is 8

c is the last number which is -7

So we have;

a = 6

b = 8

c = -7

The least amount of cards Hadas can have is 30 cards.

To find the least number of cards Hadas can have, we need to determine the least common multiple (LCM) of 6 and 15.

The LCM is the smallest multiple that both 6 and 15 divide evenly into.

The prime factorization of 6 is 2 × 3.

The prime factorization of 15 is 3 × 5.

To find the LCM, we take the highest power of each prime factor that appears in either number:

LCM = 2 × 3 × 5 = 30

Therefore, the least amount of cards Hadas can have is 30 cards.

To learn more on LCM click:

https://brainly.com/question/24510622

#SPJ1

4x - (x + 1) < 5x - 7

4x - x - 1) < 5x - 7

3x - 5x < -7 + 1

-2x < -6

2x > 6

x > 3

Answer:

Step-by-step explanation:

Height of the triangle = apothem = 9 inches

Base = 6 inches

\(Area \ of \ triangle = \frac{1}{2}bh\\\\=\frac{1}{2}*6*9\\\\= 3*9\\\\= 27 \ in^{2}\)

Area of regular polygon = Area of 5 triangle.

                                        = 5 * 27

                                        = 135 square inches

The Solution:

Given:

The perimeter of the square piece of land is 24 ft.

We are required to find the area of the given piece of land.

Step 1:

By formula,

So,

Step 2:

Find the area of the piece of land.

Therefore, the correct answer is 36 square feet.

Answer: $75

Step-by-step explanation: First he bought tires for 45.00 dollars - later sold it as 65.0 dollars.

=> 65 - 45 = 20 dollars is his profit

he brought 3 rims for 85 dollar - then later sold it as 126 dollars

=> 126 - 85 = 41 dollars

He bought headlight for 5.00 dollars then sold it later for 15 dollars.

=> 15 - 5 = 10 dollars

Total expenses

=> 134

Total amount sold

=> 209

Profit => 209 - 134 = 75 dollars

Given that 1 kilometer = 0.62 mile, 36 inches = 1 yard, and 1 mile = 1760 yards, 1 km has approximately 39,283.2 inches.

In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.

A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.

From the problem, the conversion factors are given as

1 kilometer = 0.62 mile

36 inches = 1 yard

1 mile = 1760 yards

To convert 1 kilometer into inches, first, convert 1 kilometer to miles using the conversion factor, 1 kilometer = 0.62 mile

1 km = 0.62 miles

Then, convert miles to yards using the conversion factor, 1 mile = 1760 yards

1 km = 0.62 miles = 0.62 (1760 yards)

1 km = 0.62 miles = 1091.2 yards

Lastly, convert yards to inches using the conversion factor, 36 inches = 1 yard

1 km = 0.62 miles = 1091.2 yards = 1091.2 (36 inches)

1 km = 0.62 miles = 1091.2 yards = 39,283.2 inches

To learn more about conversion: https://brainly.com/question/97386

#SPJ4

Una caja de ahorros ofrece a sus clientes un interés simple del 8% anual por una imposición de 18.000 € durante 5 años. de los Interés es = 7,200 €

Interés = Principal × Tasa de interés × Tiempo

Dado que el principal es de 18.000 €, la tasa de interés es del 8% anual y el tiempo es de 5 años, podemos sustituir estos valores en la fórmula:

Interés = 18,000 € × 0.08 × 5

Interés = 7,200 €

Por lo tanto, el importe de los intereses generados en ese tiempo es de 7.200 €. Esto significa que al finalizar los 5 años, el cliente habrá obtenido 7.200 € adicionales como resultado de la imposición de 18.000 € con una tasa de interés del 8% anual. Es importante tener en cuenta que este cálculo se basa en la suposición de que el interés es simple y no se acumula ni se reinvierte.

For more such questions on  intereses

https://brainly.com/question/31608291

#SPJ8

Answer:

x=9 Hope this helps :)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 3x from both sides.

Step 3: Subtract 6 from both sides.

Step 4: Multiply both sides by 3/(-8).

And you get x=9

Answer:

a. AD and DAB are not congruent

b. point E is 1.5 from point B

c. Yes, your friend is correct

Step-by-step explanation:

(a) tan(C) = opp/adj = 3/4 so C is 36.87 or roughly 37 degrees

so A = 90 - 37 = 53

tan(DAB) = opp/adj = (4/2)/3 = 2/3 so DAB is 33.7 or roughly 34 degrees

so CAD = 53 - 34 = 19

so CAD and DAB are not congruent

(b) angle bisector is the line or line segment that divides the angle into two equal parts. It intersects BC at E so CAE = EAB = 53/2 = 26.5

so tan(26.5) = BE/3

=> BE = 3 x tan(26.5) = 3(0.499) = 1.497 or roughly 1.5

(c) a line from E perpendicular to AC will intersect AC at F, which create angle EFA or EFC a 90 degree angle

Now we have 2 right triangles AEB and AEF with the same hypotenuse which is AE and the same angles at EAF and EAB which means EB and EF are congruent

Answer:

$8,720

Step-by-step explanation:

SI = PRT where;

SI = simple interest

P = principal amount/starting amount

R = rate as a decimal/fraction

T = time in years

I = 8000 . 5 . 0.018

I = 720

8000 + 720 = 8720

Step-by-step explanation:

How to solve for x?

Eliminate -(9/2) to find out the value of x.

Add 9/2 to both sides of the equation:

\(x = - 7.5\)

Answer

\(x=\) \(-7.5\)

Step-by-step explanation:

\(x -\frac{9}{2} = -12\)

\(x -\frac{9}{2} + \frac{9}{2} = -12 + \frac{9}{2}\)  (add \(\frac{9}{2}\) to both sides)

\(x = -\frac{15}{2}\)

\(-\frac{15}{2} =\) \(-7.5\)

\(x=\) \(-7.5\)

Using the sine function with the given angle C and hypotenuse, we find that the length of the side x is approximately 16.23 units.

We can use the trigonometric ratios of the right triangle to find the length of the side x. Since we know the angle C and the hypotenuse, we can use the sine function, which relates the opposite side to the hypotenuse

sin(C) = opposite / hypotenuse

sin(37°) = x / 27

Multiplying both sides by 27, we get

x = 27 sin(37°)

Using a calculator, we find that

x ≈ 16.23

Therefore, the length of the side x is approximately 16.23 units.

To know more about sine function:

https://brainly.com/question/12015707

#SPJ1

Answer:

34km

Step-by-step explanation:

Answer:

I'm assuming that it is asking what her total distance will be after 8 MORE hours?

h=hours

d=total distance

d=4h+2

if h is 8,

d=4(8)+2

d=32+2

d=34

Answer:

f(g(4)) = -10

(g o f)(-4) = -16

Step-by-step explanation:

Function composition is an operation where one or more functions are substituted into another function.

Given functions:

\(\begin{cases}f(x)=x^2+6x-2\\g(x)=x-6\end{cases}\)

The given composite function f(g(4)) means to substitute the function g(4) in place of the x in function f(x). The function g(4) is the value of function g(x) when x = 4.

\(\begin{aligned}f\left(g(4)\right)&=\left(g(4)\right)^2+6\left(g(4)\right)-2\\&=\left(4-6\right)^2+6\left(4-6\right)-2\\&=\left(-2\right)^2+6\left(-2\right)-2\\&=4-12-2\\&=-8-2\\&=-10\end{aligned}\)

The given composite function (g o f)(-4) means to substitute the function f(x) in place of the x in function g(x), then substitute x = -4 into the resulting function.

\(\begin{aligned}\left(g \circ f \right)(-4)&=g\left(f(-4)\right)\\&=\left(f(-4)\right)-6\\&=((-4)^2+6(-4)-2)-6\\&=(16-24-2)-6\\&=-10-6\\&=-16\end{aligned}\)

Answer:

Option (4)

Step-by-step explanation:

The given system of equations is,

y = -2x + 4 ------ (1)

6x + 3y = a --------(2)

We have to find the value of a for which the system of equations will have infinitely many solutions.

Option (1). If a = -12

                6x + 3y = -12

                2x + y = -4

                        y = -2x - 4

Both the equations have same slope, therefore, they are parallel and will have no solutions.

Option (2). If a = -4

                 6x + 3y = -4

                         3y = -6x - 4

                           \(y=-2x-\frac{4}{3}\)

Then equation (1) and (2) will intersect each other at least at one point Or there is exactly one solution of the system of the equations.

Option (3). If a = 4

                 6x + 3y = 4

                         3y = -6x + 4

                           y = -2x + \(\frac{4}{3}\)

Then equation (1) and (2) will intersect each other at least at one point Or there is exactly one solution of the system of the equations.

Option (4). If a = 12

                  6x + 3y = 12

                           3y = -6x + 12

                             y = -2x + 4

Therefore, both the equations (1) and (2) are same for a = 12 and they will have infinitely many solutions.

This question is based on system of linear equation .Thus, for a=12 will have infinitely many solution.

Given:

y = -2x + 4 ------ (a)  

6x + 3y = a ------(b)

We need to determined the value of a for which the system gives infinitely many solution.

Now check all the options as given below:

Option(1)  a = -12 and put it in (b) we get,

6x + 3y = -12

 2x + y = -4

y = -2x - 4

Both the equations have same slope, therefore, they are parallel to each other and have no solutions.

Option(2)  a= -4 and put it in (b) we get,

6x + 3y = -4

3y = -6x - 4

\(y=-2x-\dfrac{4}{3}\)

Therefore, the equation has unique solution. Thus, both lines intersect each other at one point and there is unique value of x and y.

Option(3) a= 4

6x + 3y = 4

3y = -6x + 4

\(y=-2x+\dfrac{4}{3}\)

Therefore, the equation has unique solution. Thus, both lines intersect each other at one point and there is unique value of x and y.

Option(4) a= 12

6x + 3y = 12

3y = -6x + 12

y = -2x + 4

Both the  equation are same for a= 12.

Thus, for a=12 will have infinitely many solution.

For further details, please prefer this link:

https://brainly.com/question/13712241

The given code provides a basic framework for implementing a Graph class that represents a weighted undirected graph. The class is designed to work with any numeric data type for the edge weights.

It supports operations such as adding and removing nodes and edges, checking for the presence of a vertex, retrieving the list of vertices and edges, and finding neighboring vertices.

To implement the Graph class, you would need to define appropriate data structures to represent the graph, such as adjacency lists or matrices. You can also use a combination of maps and vectors to store the vertices, edges, and their weights. The provided functions in the code, such as the constructor, destructor, and various member functions, should be implemented with the appropriate logic to manipulate and retrieve the graph data.

For testing purposes, the main function in the graph.cpp file demonstrates the usage of the Graph class. It creates a graph, adds vertices, adds weighted edges between them, removes an edge, and removes a vertex. Finally, it performs some queries to test the implemented functionality, such as retrieving the number of vertices and edges, checking if specific vertices exist in the graph, and printing the results.

The given code provides a starting point for implementing a Graph class that represents a weighted undirected graph. By implementing the necessary data structures and logic for the member functions, you can create a functional graph data structure that supports various operations on the graph.

To know more about undirected graph, visit

https://brainly.com/question/31734665

#SPJ11

A. statistically significant difference in the mean blood hemoglobin levels between breastfed infants and formula-fed infants at α = 0.05.

B. the 95% confidence interval for the difference in population means between breast-fed infants and formula-fed infants is (−0.06, 1.18).

C. Both the hypothesis test and the confidence interval lead to the same conclusion that there is a difference in the mean blood hemoglobin levels between the two feeding regimens.

What is null hypothesis?

In statistics, the null hypothesis (H0) is a statement that assumes that there is no significant difference between two or more groups, samples, or populations.

(a) To test the hypothesis that there is a difference in the population means between breast-fed infants and formula-fed infants, we can use a two-sample t-test with equal variances. The null hypothesis is that the population means are equal, and the alternative hypothesis is that they are not equal. Using α = 0.05 as the significance level, the critical value for a two-tailed test with 40 degrees of freedom is ±2.021.

The test statistic can be calculated as:

t = (x1 - x2) / (Sp * √(1/n1 + 1/n2))

where x1 and x2 are the sample means, Sp is the pooled standard deviation, and n1 and n2 are the sample sizes. The pooled standard deviation can be calculated as:

Sp = √(((n1 - 1) * s1² + (n2 - 1) * s2²) / (n1 + n2 - 2))

where s1 and s2 are the sample standard deviations.

Plugging in the values from the table, we get:

t = (13.3 - 12.4) / (1.776 * √(1/23 + 1/19)) = 2.21

Since the absolute value of the test statistic is greater than the critical value, we reject the null hypothesis and conclude that there is a statistically significant difference in the mean blood hemoglobin levels between breastfed infants and formula-fed infants at α = 0.05.

(b) To construct a 95% confidence interval for the difference in population means between breast-fed infants and formula-fed infants, we can use the formula:

(x1 - x2) ± tα/2,Sp * √(1/n1 + 1/n2)

where tα/2,Sp is the critical value of the t-distribution with (n1 + n2 - 2) degrees of freedom and α/2 as the significance level.

Plugging in the values from the table, we get:

(x1 - x2) ± tα/2,Sp * √(1/n1 + 1/n2)

= (13.3 - 12.4) ± 2.021 * 1.776 * √(1/23 + 1/19)

= 0.56 ± 0.62

Therefore, the 95% confidence interval for the difference in population means between breast-fed infants and formula-fed infants is (−0.06, 1.18).

(c) The hypothesis test and the confidence interval both lead to the conclusion that there is a difference in the mean blood hemoglobin levels between breast-fed infants and formula-fed infants. In part (a), we rejected the null hypothesis that the population means are equal, which means we concluded that there is a difference. In part (b), the confidence interval does not contain 0, which means we can reject the null hypothesis that the difference in means is 0 at the 95% confidence level.

Therefore, both the hypothesis test and the confidence interval lead to the same conclusion that there is a difference in the mean blood hemoglobin levels between the two feeding regimens.

To learn more about null hypothesis from the given link:

brainly.com/question/28920252

#SPJ4

Answer:

a = -7

Step-by-step explanation:

4a – (6 – 5a) + 12 = 3a + 2(2a – 4)

Answer:

Step-by-step explanation:

the second one

HK and IJ

Answer:

Its the last one DH and FG

The probability that both pencils picked at random with replacement from a basket containing 5 purple and 9 brown pencils are purple is 9/98.

To calculate the probability of picking two purple pencils with replacement, we need to use the multiplication rule of probability. The probability of picking the first purple pencil is 5/14, and the probability of picking a second purple pencil from the basket is also 5/14 since we are replacing the first pencil. Therefore, the probability of picking two purple pencils with replacement is (5/14) × (5/14) = 25/196. However, we also need to account for the possibility of picking a brown pencil first and a purple pencil second.

The probability of picking a brown pencil first is 9/14, and the probability of picking a purple pencil second is 5/14. So, the probability of picking a brown pencil followed by a purple pencil is (9/14) × (5/14) = 45/196. Adding the probability of picking two purple pencils and the probability of picking a brown pencil followed by a purple pencil gives us the total probability of (25/196) + (45/196) = 9/98.

Therefore, the probability that both pencils picked at random with replacement from a basket containing 5 purple and 9 brown pencils are purple is 9/98.

To learn more about probability here:

brainly.com/question/30034780#

#SPJ11

Answer:

molar mass of carbon-12

Step-by-step explanation:

Answer: \(x+8=20\)

Step-by-step explanation:

Given

Equation is \(\frac{x}{2}+4=10\)

Mila uses the first step as multiplication to make the coefficient of x, 1

Mila maybe have multiplied the whole equation by 2 i.e.

\(\Rightarrow 2\left(\dfrac{x}{2}+4=10\right)\\\\\Rightarrow x+8=20\)

Answer:

Step-by-step explanation:

Refer to attached

To find:

Solution

The trapezoid is isosceles and NK is its height, therefore

Since ∠KDN = 45°, the triangle NKD is isosceles and so

MF  = ND as trapezoid is isosceles and therefore diagonals are equal

Area of trapezoid