how to find the mean salary of 20 workers 12 men 8 women

Answer:

$22.5

Step-by-step explanation:

Given data

Commission= 2.5%

Amount sold=$900

Let us find 2.5% of $900

=2.5/100*900

=0.025*900

=$22.5

Hence she made $22.5

The graph transformations are discussed below.

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.

Given is the transformation of a graph.

A function transformation either "moves" or "resizes" or "reflects" the graph of the parent function. There are mainly three types of function transformations:

Transformation                Function                  Changes in Position/Size

Translation                 moves the curve                     Change in position

Dilation                Stretches or shrinks the curve     Change in the size

Reflection                   Flips the curve                      Change in position

                           and produces the mirror image.

Therefore, the graph transformations are discussed above.

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Answer:

brainliest plssss

Step-by-step explanation:

−2(2−2w)

=(−2)(2+−2w)

=(−2)(2)+(−2)(−2w)

=−4+4w

=4w−4

The value |λ1| = |λ2| = √(40a⁴ + 89a² + 35a + 25) / 2.As the eigenvalues are real and different, 2₁ = λ1 is the smaller of the two eigenvalues when comparing their absolute values.

Given,

The state-space representation for the equation 2x'' + 4x + 5x = 10e is 11 0 [] = [ 9₁ 92] [x2] + [91] -1 e X2 99 H using the methods 0 1 6.

The given state-space representation can be written in matrix form as: dx/d t= Ax + Bu , y= C x + Du Where, x=[x1,x2]T , y=x1 , u=e , A=[ 0 1  -4/2 -5/2], B=[0 1/2] , C=[1 0] , D=0Here, the eigenvalue of the state-space coefficient matrix [-7a  -2a] is to be calculated.

Since, |A- λI|=0 |A- λI|=[-7a- λ -2a  -2a -5/2- λ] [(-7a- λ)(-5/2- λ)-(-2a)(-2a)]=0 ⇒ λ2+ (5/2+7a) λ + (5/2+4a²)=0Now, applying the quadratic formula,  λ= -(5/2+7a) ± √((5/2+7a)² - 4(5/2+4a²)) / 2Taking the modulus of the two eigenvalues, |λ1| and |λ2|, and then, finding the smaller of them,|λ1| = √(5/2+7a)² +4(5/2+4a²) / 2=√(25/4 + 35a + 49a² + 40a² + 80a⁴) / 2=√(40a⁴ + 89a² + 35a + 25) / 2|λ2| = √(5/2+7a)² +4(5/2+4a²) / 2=√(40a⁴ + 89a² + 35a + 25) / 2

Therefore, |λ1| = |λ2| = √(40a⁴ + 89a² + 35a + 25) / 2.As the eigenvalues are real and different, 2₁ = λ1 is the smaller of the two eigenvalues when comparing their absolute values.

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The eigenvalue with the positive imaginary part is λ = -7a/2 + a√(17)/2 i.

We are given that 912 = 0, the eigenvalue that we must keep is 2₁ = 911a + 912a j.

The given state-space representation is:

[11] [0] = [9a 2a] [x2] + [9a] [-1] e x1 [99] h

Using the method [0 1] [6], the eigenvalue of the state-space coefficient matrix [-7a -2a] can be calculated as follows:

| [-7a - λ, -2a] | = (-7a - λ)(-2a) - (-2a)(-2a)| [0, -2a - λ] |

= 14a² + λ(9a + λ)

On solving this, we get:

λ² + 7aλ + 2a² = 0

Using the quadratic formula, we get:

λ = [-7a ± √(7a)² - 4(2a²)]/2

= [-7a ± √(49a² - 32a²)]/2

= [-7a ± √(17a²)]/2

= [-7a ± a√17]/2

If the eigenvalues are real and different, then

λ₁ = (-7a + a√17)/2 and

λ₂ = (-7a - a√17)/2.

To find the smaller eigenvalue when comparing their absolute values, we first find the absolute values:

|λ₁| = |-7a + a√17|/2

= a/2

|λ₂| = |-7a - a√17|/2

= a(7 + √17)/2

Therefore,

2₁ = -7a + a√17 (as |-7a + a√17| < a(7 + √17)).

If the eigenvalues are a complex conjugate pair, then λ = -7a/2 ± a√(17)/2 i.

The eigenvalue with the positive imaginary part is λ = -7a/2 + a√(17)/2 i.

However, since we are given that 912 = 0, the eigenvalue that we must keep is 2₁ = 911a + 912a j.

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Answer:

The interest for the two years is Rs 51.

Step-by-step explanation:

Rate, R = 4 %

Compound interest for 1 year = Rs 25

Let the sum is P.

For first year,

\(A = P \left ( 1+\frac{R}{100} \right )^1\\\\A = P(1+0.04)\\\\A - P = 0.04 P\\\\0.04 P = 25\\\\P= Rs625\)

For 2 year

\(A = P \left ( 1+\frac{R}{100} \right )^2\\\\A = 625(1+0.04)^2\\\\A = 676\\\)

Interest is

Interest = Rs 676 - Rs 625 = Rs 51

The simulation provides information about the concept of balancing a chemical equation through visual representation and interactive tasks.

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Answer:

The answer is 125.

Step-by-step explanation:

The formula for volume of a cube is s^3, where s is the length of a side. (Weirdly, you cube a cube.)

So, when you cube 5, the answer is 125.

Side-Angle-Side (SAS) (SAS), The triangles are congruent if the included angles are also congruent and two sides of one triangle match two sides of another triangle.

Side-Angle-Side (SAS) (SAS), The triangles are congruent if the included angles are also congruent and two sides of one triangle match two sides of another triangle.

The use of labels Triangle ABC is congruent to triangle DEF if the angles of triangles ABC and DEF are AB = DE, AC = DF, and A = D.

ABC=CDE: a) in accordance with the conditions BC=CD and AC=CE; b) BCA=m (DCE).

If ABC = CDE, then m(BAC) = m(DEC), and m(ABC) = m (CDE).

If m(BAC)=m(DEC), then AB || DE, or if m(ABC)=m(CDE), then AB || DE.

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Answer:

  2/15

Step-by-step explanation:

You want to know the fraction that is 2/3 of 1/5.

In this context, "of" means "times."

  2/3 of 1/5 = (2/3)×(1/5) = (2·1)/(3·5) = 2/15

2/15 of the pets are alley cats.

Answer:

give a full picture bruv

The reliability of a simple electrical motor with three components (windings, armature, and housing) is :

0.9989.

To find the reliability of a simple electrical motor with three components (windings, armature, and housing), we need to multiply the reliabilities of each component. The given reliabilities are 0.9998, 0.9992, and 0.9999.

Multiply the reliabilities of the three components.
Reliability = Windings reliability * Armature reliability * Housing reliability
Reliability = 0.9998 * 0.9992 * 0.9999

Calculate the product.
Reliability ≈ 0.99889988

Round the answer to four decimal places.
Reliability ≈ 0.9989

So, the reliability of the motor is approximately 0.9989.

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Answer: 100

Step-by-step explanation:

Because 88.9% of the data falls between approximately 47.62 and Blank.

The point that preserves the function is option  A(-3,-8).

What do you mean by function?

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

According to the given question,

We have four option for the answer.

Note: if f is a function then each number of the domain has an unique image.

Since (regarding the table) the image of 9 is 6 then the answer D is wrong

The same apply on answers B and C .

Therefore, the right answer is A(-3,-8).

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To calculate the present value of a zero-coupon bond, we can use the formula: Present Value = Future Value / (1 + Interest Rate)^n

where Future Value is the par value of the bond, Interest Rate is the annual market interest rate, and n is the number of years. In this case, the Future Value is $2,000, the Interest Rate is 10% (or 0.10), and the number of years is 5. Using Excel, we can calculate the present value as follows:
1. In cell A1, enter the Future Value: 2000
2. In cell A2, enter the Interest Rate: 0.10
3. In cell A3, enter the number of years: 5
4. In cell A4, enter the formula for calculating the present value: =A1 / (1 + A2)^A3
5. Press Enter to get the result.

The present value of the 5-year zero-coupon bond with a $2,000 par value and an annual market interest rate of 10% is $1,620.97.

The formula for present value calculates the current worth of a future amount by discounting it back to the present using the interest rate. In this case, the future value is $2,000, and we divide it by (1 + 0.10)^5 to account for the effect of compounding over 5 years. The result is the present value of $1,620.97, which represents the amount that is considered equivalent to receiving $2,000 in 5 years at a 10% interest rate.

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Answer:

its the second one

Step-by-step explanation:

116 × 115

______

100

hope this helps

have a nice day <3

The homogeneous equation and a particular solution of the given nonhomogeneous equation is \(& y=c_1 e^{-2 x}+c_2 e^{2 x}-\frac{1}{2}\).

The given nonhomogeneous equation is y" - 4y = 2

We are given \($y_1=e^{-2 x}$\)

Let \($y_2=u y_1$\)

Non-homogeneous differential equations are simply differential equations that do not satisfy the conditions for homogeneous equations. In the past, we’ve learned that homogeneous equations are equations that have zero on the right-hand side of the equation.

The two most common methods when finding the particular solution of a non-homogeneous differential equation are:

\($$\begin{aligned}& y_2=u e^{-2 x} \\& y_2^{\prime}=u^{\prime} e^{-2 x}-2 u e^{-2 x} \\& y_2^{\prime \prime}=u^{\prime \prime} e^{-2 x}-2 u^{\prime} e^{-2 x}-2 u^{\prime} e^{-2 x}+4 u e^{-2 x} \\& y_2^{\prime \prime}=u^{\prime \prime} e^{-2 x}-4 u^{\prime} e^{-2 x}+4 u e^{-2 x}\end{aligned}$$\)

Substitute in \($y^{\prime \prime}-4 y=0$\), we get

\($$\begin{aligned}& u^{\prime \prime} e^{-2 x}-4 u^{\prime} e^{-2 x}+4 u e^{-2 x}-4 u e^{-2 x}=0 \\& u^{\prime \prime} e^{-2 x}-4 u^{\prime} e^{-2 x}=0 \\& e^{-2 x}\left(u^{\prime \prime}-4 u^{\prime}\right)=0 \\& u^{\prime \prime}-4 u^{\prime}=0 \\& u^{\prime \prime}=4 u^{\prime}\end{aligned}$$\)

Substitute \($$u^{\prime}=v$ and $u^{\prime \prime}=v^{\prime}$\), we get

\($$\begin{aligned}& v^{\prime}=4 v \\& \frac{d v}{d x}=4 v \\& \frac{1}{v} d v=4 d x\end{aligned}$$\)

Integrate both sides, we get

\($u=\frac{1}{4} C_1 e^{4 x}+C_2$$\)

put in \($y_2=u y_1$\)

\($$y_2=\left(\frac{1}{4} C_1 e^{4 x}+C_2\right) e^{-2 x}$$\)

Choose \($$C_1=4$ and $C_2=0$\), we get

\($$y_2=e^{2 x}$$\)

\($$\begin{aligned}& y_c=c_1 y_1+c_2 y_2 \\& y_c=c_1 e^{-2 x}+c_2 e^{2 x}\end{aligned}$$\)

Particular Solution

\($$\begin{aligned}& y_y=A \\& y_y{ }^{\prime}=0 \\& y_y{ }^{\prime \prime}=0\end{aligned}$$\)

Substitute in \($y^{\prime \prime}-4 y=2$\), we get

\($$\begin{aligned}& 0-4 A=2 \\& -4 A=2 \\& A=-\frac{1}{2} \\& \therefore y_y=-\frac{1}{2}\end{aligned}$$\)

General Solution

\($$\begin{aligned}& y=y_6+y_y \\& y=c_1 e^{-2 x}+c_2 e^{2 x}-\frac{1}{2}\end{aligned}$$\)

Therefore, the second equation is \(& y_{2} =c_1 e^{-2 x}+c_2 e^{2 x}-\frac{1}{2}\).

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The required equation that best represents the relationship is p = 0.42n.

A proportional relationship between two variables implies that the proportion of the two variables is consistent.

Since the cost of oranges is directly proportional to the number of oranges purchased, we can write:

p = kn

where k is the constant of proportionality.

We can use the information given to find k:

2.52 = k(6)

k = 0.42

Now we can write the equation that represents the relationship between the cost and the number of oranges purchased:

p = 0.42n

Therefore, the equation that best represents the relationship is p = 0.42n.

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The missing options would be as:

A.) P=0.42n B.)p=2.52n C.)p=6n D.) p=15.12n

The relationship between xzw and wzv on the vertical angle is as follows:

∠ xzw + ∠ wzv = 180

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles share the same vertex and they are congruent to each other.

Therefore,

∠vzy ≅ ∠wzx(vertical angles)

Hence, the relationships between angles xzw and wzv  is as follows:

∠ xzw + ∠ wzv = 180 (sum of angles on a straight line)

3x + 17 + x - 9 = 180

4x + 8 = 180

4x = 180 - 8

4x = 172

x = 172 / 4

x = 43

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Answer:

D is the answer for you.

Answer:

4. (-5, 3.5)

Step-by-step explanation:

Answer

Definition of angle bisector

Definition of segment bisector

ASA

Explanation

The theorems/definitions that will give us the 3 pieces of information we need to prove that ΔNMP = ΔLMP are:

Definition of angle bisector

From the triangle given, line PM bisects ∠LMN

Definition of segment bisector

Line MP bisects ∠LPN

ASA

∠MPN = ∠MPL = 90

line PM from ΔMPN = line PN from ΔMPL

∠NMP = ∠LMP

Answer:

the first one is x=-3(16+y/2

secone one is x=11+2y

Step-by-step explanation:

The characteristics of the normal distribution can be used to determine the likelihood that X equals 19.62 because X is a normally distributed random variable with a mean of 12 and a standard deviation of 3.

We must compute the z-score, which counts the number of standard deviations a given result is from the mean, in order to determine this probability. Calculating the z-score is as follows:

z = (x - μ) / σ

If the supplied value, x, the mean, and the standard deviation are all given.In this instance, x=19.62, =12, and =3 respectively. By replacing these values, we obtain:

z = (19.62 - 12) / 3 ≈ 2.54

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Answer:

x=2

Step-by-step explanation:

3x+4=10

subtract four on both sides, you will get 3x=6, divide by three on both sides, x=2

The coordinates of the four corners of the rectangle are A(3, 2), B(0, 3), C(-3, -2), and D(0, -3).

The rectangle has two pairs of parallel sides and right angles at each corner, and the diagonals intersect at the origin. We can use this information to find the coordinates of the four corners of the rectangle.

Let's start by drawing a diagram and labeling the coordinates of the intersection point of the diagonals, (0, 0).

B ________ C

  |                |

  |                |

  |                |

  |________|D

       (0,0)

Since the rectangle is 6 units long and 4 units wide, we know that the distance from the origin to each corner is a multiple of 2 or 3 units (using the Pythagorean theorem). We can also use the fact that the diagonals bisect each other to find the coordinates of the corners.

Starting with corner A, we can use the fact that it is 3 units to the right and 2 units up from the origin to find its coordinates: A(3, 2). Similarly, we can find the coordinates of corner C, which is 3 units to the left and 2 units down from the origin: C(-3, -2).

Next, we can use the fact that corner B is equidistant from A and C to find its coordinates. Since the rectangle is symmetric, we know that corner B is 3 units up from the origin: B(0, 3). Finally, we can find the coordinates of corner D, which is 3 units down from the origin: D(0, -3).

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Explanation:

There are 4 white marbles out of 4+10 = 14 total

4/14 = 2/7 is the probability of randomly picking a white marble.

(2/7)*(2/7) = 4/49 is the probability of picking two whites in a row, when the first marble is replaced.

Use a calculator to find that 4/49 = 0.0816 approximately.

That converts to 8.16% after moving the decimal point two spots to the right. This is equivalent to multiplying by 100.

Answer:

8/10

Step-by-step explanation:

Formula

Cosine A = Adjacent side / Hypotenuse

Here,

Adjacent side = 8

Hypotenuse = 10

Answer

Cosine A = 8/10