100 Points , MAX. Please help I dont have a lot of time, assignment goes due tonight.
I will give brainliest.

Answer:

The total number of winners is 17.

Step-by-step explanation:

Let's assume that the number of winners is "x". Then the number of participants who did not win is "45 - x".

The amount of money awarded to the winners is 1000x rupees.

The amount of money awarded to the participants who did not win is 200(45 - x) rupees.

According to the question, the total amount of prize money distributed is 22600 rupees. So we can write:

\(\sf\implies 1000x + 200(45 - x) = 22600 \)

Simplifying this equation:

\(\sf\implies 1000x + 9000 - 200x = 22600 \)

\(\sf\implies 800x = 13600 \)

\(\sf\implies x = 17 \)

Therefore, the total number of winners is 17.

Hope it helps!

The function f(x, y) satisfies the conditions that its limit approaches zero as x approaches zero along two different paths: y = x and y = x^2. This implies that as x approaches zero, the function f(x, y) must approach zero regardless of whether y varies linearly or quadratically with x.

The given conditions state that the limit of f(x, y) as x approaches zero along the path y = x is zero. This means that as x gets arbitrarily close to zero, the function f(x, y) approaches zero when y varies linearly with x. Similarly, the second condition states that the limit of f(x, y) as x approaches zero along the path y = x^2 is also zero. This implies that when y varies quadratically with x, the function f(x, y) still approaches zero as x approaches zero. Therefore, the function f(x, y) must satisfy both conditions by converging to zero as x approaches zero along both paths.

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Answer:

\( \sf \large \: p = 8\)

Step-by-step explanation:

Let's solve the equation step by step,

p – 6 = 2

Add +6 to both sides

p - 6 + 6 = + 6

p = 8

Answer:

8

Step-by-step explanation:

Answer:

the y intercept is y

Step-by-step explanation:

because we have the variable already/////

The true statements are

The original statement is given as:

If a number is negative, the additive inverse is positive

This can be represented as

If p, then q

i.e. if p → q

So, (a) is correct

For the inverse, we simply negate the hypothesis and the conclusion

i.e. if ¬p → ¬q ----(b) is correct

For the converse, we simply switch the hypothesis and the conclusion

i.e. if q → p ----(e) is correct

Hence, the true statements are (a), (b) and (e)

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The value of a = -2 and b = 3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

Here, we have

Given: 3a - 5b = -26, a + 2b = 6

We have to solve this equation.

3a - 5b = -26...(1)

a + 2b = 6...(2)

Now we multiply equation (1) by 2 and equation (2) by 5 and we get

6a - 10b = -52....(3)

5a + 10b = 30....(4)

After solving equations (3) and (4), we get

11a = -22

a = -2

Now we put the value of 'a' in equation(3) and we get

6(-2) - 10b = -52

-10b = -52 + 12

-10b =  -30

b = 3

Hence, the value of a = -2 and b = 3.

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Solution:-

Given,

Ashanti earns=$50 an hour

Ashanti earns in 6 hours=?

Now,

Ashanti earns in 60 hours=$50×6

=$300

Therefore,Ashanti earns $300 in 6 hours.

Gauss-Jordan Elimination is a technique for solving systems of linear equations and for determining the inverse of any invertible matrix.

Gauss-Jordan Elimination is a method for finding the inverse of any invertible matrix and for solving systems of linear equations. It is based on the three simplest row operations one may do on a matrix: Place two of the rows in opposite positions. A nonzero scalar multiplied by one of the rows

Since a similar version was described by Wilhelm Jordan in 1888 in his book "Handbuch der Vermessungskunde" independently of B. I. Clasen, who published something similar in the same year, the procedure known as Gauss-Jordan elimination for converting a matrix into reduced echelon form also includes the name Jordan.

This method, which is also known as row reduction, has two steps: forward elimination and back substitution. These two Gaussian elimination method steps differ from one another not by the operations that can be performed through them but rather by the outcome that is obtained.

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Answer:

(1.5,-1)

Step-by-step explanation:

Answer:

(1.5), (-1)

Step-by-step explanation:

Answer:

1/2 = P(A)

Step-by-step explanation:

Since the events are independent, we can use the formula

P(A∩B)=P(B)P(A)

1/6 = 1/3 * P(A)

1/2 = P(A)

Answer:

Step-by-step explanation:

use midpoint formula

x + x       y + y

  2             2

4 + 2      - 5 + 1

  2             2

(3, -2)

To determine which data set will follow the simple linear regression (SLR) model, we need to look for a relationship between the independent variable (xi) and the response variable (yi).

The SLR model assumes that there is a linear relationship between the two variables, meaning that as the value of xi increases or decreases, the value of yi also increases or decreases in a straight line.
Therefore, the data set that shows a clear linear relationship between xi and yi is most likely to follow the SLR model. We can use a scatter plot to visualize the relationship between the two variables and determine if it is linear.
If the scatter plot shows a roughly straight line relationship between xi and yi, then the data set is likely to follow the SLR model. On the other hand, if the scatter plot shows a curved or non-linear relationship between xi and yi, then the data set is not likely to follow the SLR model.
So, in summary, the data set that shows a clear linear relationship between xi and yi is the one that is most likely to follow the simple linear regression (SLR) model.

Simple linear regression (SLR), it is important to note that SLR is a method used to model the relationship between a response variable (yi) and an independent variable (observation xi). In this model, the response variable yi is a linear function of the independent variable xi.
Since you have not provided specific data sets to choose from, I am unable to directly indicate which data set will follow this model. However, to identify a data set that would likely follow the simple linear regression model, look for one that exhibits a linear relationship between the independent variable (xi) and the response variable (yi). In such a data set, you would observe a pattern where, as xi increases or decreases, yi would also consistently increase or decrease in a relatively straight line.
To summarize, to determine if a data set follows the simple linear regression model, check if it exhibits a linear relationship between the independent variable (observation xi) and the response variable (yi).

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Answer:

The answer is the first one.

Step-by-step explanation:

Answer:

10 30 15 16 48 24 25 75 37.5

The probability that a randomly selected student is a female who is enrolled in a mathematics course is 0.64.


The number of males who are currently enrolled in a mathematics course is: 120 x 60/100 = 72 students.

The number of females who are currently enrolled in a mathematics course is: 280 x 80/100 = 224 students.

Therefore, the total number of students currently enrolled in a mathematics course is: 72 + 224 = 296 students.

Thus, the probability that a randomly selected student is a female who is enrolled in a mathematics course is: Probability= Number of female students enrolled in mathematics/Total number of students= 224/400= 0.64.

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Answer: It's C because It was correct on my test.

If I wrong i'm really sorry

Step-by-step explanation:

C. Isosceles; since a rhombus always has 4 equal sides, each triangle must have 2 equal sides.

An Isosceles Triangle is defined as a triangle with two sides of equal length is an isosceles triangle.

A rhombus is a quadrilateral with all four sides congruent, or equal in length. When a diagonal is drawn in a rhombus, it will always divide the rhombus into two congruent triangles. Since the opposite sides of a rhombus are congruent, the two triangles formed by the diagonal will always have two congruent sides. Therefore, each triangle is an isosceles triangle.

A rhombus can have angles of various degrees. It can have angles more than 90 degrees, less than 90 degrees, or 90 degrees which means the statements A, and D are incorrect.

B is incorrect because the triangles formed by the diagonal of a rhombus will not have 3 equal sides, because the diagonal will not be congruent with the sides.

Hence, the correct answer would be an option (C).

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Answer:

1 and -1

Step-by-step explanation:

\(5 - \sqrt[3]{( {x}^{2} - 9 } = 7\)

\( - \sqrt[3]{( {x}^{2} - 9} = 7 - 5\)

\(- \sqrt[3]{( {x}^{2} - 9} = 2\)

\( \sqrt[3]{( {x}^{2} - 9} = - 2\)

Cube both sides of the equation:

\( {x}^{2} - 9 = { - 2}^{3} \)

\( {x}^{2} - 9 = - 8\)

\( {x}^{2} = - 8 + 9\)

\( {x}^{2} = 1\)

\( {x}^{2} - 1 = 0\)

\((x - 1)(x + 1) = 0\)

\(x = 1 \: \: or \: \: x = - 1\)

\(5-\sqrt[3]{x^2-9}=7\implies 5=\sqrt[3]{x^2-9}+7\implies -2=\sqrt[3]{x^2-9} \\\\\\ (-2)^3=(\sqrt[3]{x^2-9})^3\implies -8=x^2-9\implies 1=x^2 \\\\\\ \pm\sqrt{1}=x\implies \pm 1 = x\)

Answer:

$192.56

Step-by-step explanation:

The keyboard is priced at 1($178.30).

The sales tax is 0.08($178.30) = $14.26

The total cost is thus $178.30 + $14.27 = $192.56

A more efficient way to calculate this would be as follows:

            Total cost = 1.08($178.30) = $192.56

Answer:

70

Step-by-step explanation:

let me know if its correct plz :)

The events are mutually exclusive events, so P(A|B) is 0.

In this question,

If two events are mutually exclusive, there is no chance that both events will occur. Being the intersection an operation whose result is made up of the non-repeated and common events of two or more sets, that is, given two events A and B, their intersection is made up of the elementary events that they have in common, then

⇒ A ∩ B = 0

Now the conditional probability, P(A|B) = \(\frac{P(A \cap B )}{P(B)}\)

⇒ \(\frac{0}{0.10}\)

⇒ 0.

Hence we can conclude that the events are mutually exclusive events, so P(A|B) is 0.

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The general solution of the differential equation 9y′′−9y′−4y=0 is y=C1ex+C2(xex−ex+C3)

The general solution of the differential equation 9y′′−9y′−4y=0 can be found by solving it step by step.  

First, let us rewrite the equation in the form y′′−y′−(4/9)y=0. This equation has the form of a homogeneous, second-order, linear differential equation. To solve, we use the method of solving by using an integrating factor, which is e−x. Multiplying both sides of the equation by e−x gives us e−xy′′−e−xy′−(4/9)e−xy=0.

The left side of the equation can now be factored as (e−xy′)′−(4/9)e−xy=0. Integrating both sides with respect to x gives us (e−xy′)=C1+C2x, where C1 and C2 are constants of integration.

Solving for y′ gives us y′=C1ex+C2xex. Integrating both sides with respect to x again gives us y=C1ex+C2(xex−ex+C3), where C3 is a constant of integration.

The general solution to the differential equation 9y′′−9y′−4y=0 is therefore y=C1ex+C2(xex−ex+C3), where C1, C2, and C3 are constants of integration.

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I think its option D

Answer: the difference of 8 times a number z and 2

Step-by-step explanation:

According to the question,

Given data in the question.

If the genome contained 20,000 genes, the average length of DNA per gene will be 40,000 base pairs.

What is the average length of DNA per gene?

Only 2.5% of the human genome is protein-coding. Introns make up the remaining 97.5%. The male nuclear diploid genome is 6.27 Giga base pairs (G b p), 205.00 cm (cm) long, and 6.41 picograms in weight (p g). Female measurements are 6.37 G b p, 208.23 cm, and 6.51 p g

For a 25% mammalian genome with 20,000 genes, the total number of base pairs, which is the length of DNA per gene, will be approximately double the payment of genes contained in the genome, in this case 40,000.

The average length of DNA per gene, assuming 20,000 genes in the genome, is 40,000 base pairs.

How long does DNA typically be per gene?

Only 2.5% of the human genome codes for proteins. The remaining 97.5% is made up of introns. The size and weight of the male nuclear diploid genome are 6.27 Giga base pairs (G  bp), 205.00 centimetres (cm), and 6.41 picograms (p g). 6.37 G   bp, 208.23 cm, and 6.51 p g are the female measurements.

The total number of base pairs, which is 20,000 for a 25% mammalian genome with 20,000 genes,

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The average length of DNA per gene would be 40,000 base pairs if the genome had 20,000 genes.

The human genome only codes for proteins in 2.5% of it. The remaining 97.5% are introns. The male nuclear diploid genome measures 205.00 centimeters (cm), is 6.27 Gigabase pairs (Gbp), and weighs 6.41 picograms (pg). 208.23 cm, 6.51 pg, and 6.37 Gbp are the female measurements.

Although there may be some hereditary component to math aptitude, this probably only accounts for a small portion of it. Even in the current study, genetics alone could only account for 20% of math prowess. According to Libertus, "this leaves more than 80% of the variety in children's math aptitude unexplained."

The overall number of base pairs, which is the length of DNA per gene, will be roughly twice the number of genes present in the genome, in this example 40,000, for a 25% mammalian genome with 20,000 genes.

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The length of the shortest straight  is approximately 28.01 ft.

What is the right triangle?

A right triangle is" a type of triangle that has one angle measuring 90 degrees (a right angle). The other two angles in a right triangle are acute angles, meaning they are less than 90 degrees".

To find the length of the shortest straight beam,we can use the Pythagorean theorem.

Let's denote the length of the beam as L and  a right triangle formed by the beam, the wall, and the ground. The wall is 28 ft tall, and the distance from the wall to the building is 1 ft.

Using the Pythagorean theorem,

\(L^2 = (28 ft)^2 + (1 ft)^2\)

Simplifying the equation:

\(L^2 = 784 ft^2 + 1 ft^2\\ L^2 = 785 ft^2\)

\(L = \sqrt{785}ft\)

Calculating the value of L:

L ≈ 28.01 ft

Therefore, the length of the shortest straight beam  is approximately 28.01 ft.

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The correct statement regarding the residuals is given as follows:

Yes, the residuals are relatively small.

For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:

Residual = Observed - Predicted.

Hence, on the graph, the residuals are given by the vertical distance between each point on the line.

The points are close to the line in this problem, meaning that the residuals are small and the model is a good fit.

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Answer:

Step-by-step explanation