A gym employee is paid monthly. After working for three months, he had earned $4,500. To determine how much money he will make over a six-month period, he created the table below. If he continues to earn at the same rate, how much will he have earned after working 5 months?

a) The standard deviation of the given probability distribution is 0.2857 (rounded to 4 decimal places).

b) The probability distribution for the random variable x, representing the number of defective cameras in a sample of 2, is: P(x=0) = 0.35, P(x=1) = 0.50, P(x=2) = 0.15. The expected value of x is 0.5.

c) The company's expected profit or loss per warranty sold is $383.20.

a) To calculate the standard deviation of a probability distribution, we need to find the variance first. The variance is calculated by summing the squared deviations of each value from the mean, multiplied by their respective probabilities. The standard deviation is then the square root of the variance. Using the given probabilities, the variance is found to be 0.0812, and the standard deviation is approximately 0.2857.

b) Since there are 8 cameras with 4 defective ones, we can determine the probability distribution for x by considering all possible outcomes of selecting 2 cameras. The probability distribution is as follows: P(x=0) = 4/8 * 3/7 = 0.35, P(x=1) = 4/8 * 4/7 + 4/8 * 4/7 = 0.50, P(x=2) = 4/8 * 3/7 = 0.15. The expected value of x is calculated as (0 * 0.35) + (1 * 0.50) + (2 * 0.15) = 0.5.

c) The company estimates that 0.8% of products will fail within 2 years of purchase, with a replacement cost of $450. Offering a 2-year extended warranty for $26, the company's expected profit or loss per warranty sold can be calculated as the difference between the probability of a product failure (0.008) and the cost of the warranty ($26), multiplied by the replacement cost ($450). The expected profit or loss is approximately $383.20, rounded to the nearest cent.

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Phase 5: The system of implementation is conversion.

Option B is the correct answer.

We have,

Phase 5 of the system development life cycle is commonly referred to as "Conversion" or "Systems Implementation."

During this phase,

The focus shifts from planning and designing the system to actually implementing it.

This phase involves the conversion of the old system to the new system, which includes activities such as data conversion, software installation, hardware setup, user training, and system testing.

The term "Conversion" is used because it signifies the transition from the old system to the new system.

It involves migrating data, processes, and operations from the existing system to the new system.

This phase ensures that the newly developed system is successfully integrated into the organization and becomes fully operational.

Thus,

Phase 5: The system of implementation is conversion.

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Answer:

6:45

Step-by-step explanation:

Applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees

Based on the linear angles theorem, we have the following equation which we will use to find the value of y:

3y + 11 + 10y = 180

Add like terms

13y + 11 = 180

Subtract 11 from both sides

13y + 11 - 11 = 180 - 11

13y = 169

13y/13 = 169/13

y = 13

Plug in the value of y

3y + 11 = 3(13) + 11 = 50 degrees

10y = 10(13) = 130 degrees.

Therefore, applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees.

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Answer:

The (a + b)2 formula is the algebraic identity used to find the square of the sum of two numbers.

Step-by-step explanation:

To find the formula of the binomial in the form (a + b)2, we will just multiply (a + b) (a + b).

Answer:

a^2b^3

Step-by-step explanation:

Expression:

ab^2(ab)

Simplify it:

a*a=a^2

b^2*b=b^3

Put them together:

a^2b^3

Hope this helps. Have a great day!

Answer: 20

Step-by-step explanation: 7x+40=180

40-180=140

7x=140

140/70.

The greenhouse effect is a natural process that occurs on Earth, where certain gases in the atmosphere, known as greenhouse gases, trap heat from the sun.

This trapped heat warms the planet's surface, making it habitable for life. Greenhouse gases include water vapor, carbon dioxide, methane, and nitrous oxide, among others. They function like a blanket around the Earth, allowing sunlight to enter but preventing some of the heat from escaping back into space.
The greenhouse effect is essential for maintaining Earth's temperature at a level that supports life. However, human activities such as burning fossil fuels, deforestation, and industrial processes have increased the concentration of greenhouse gases in the atmosphere, leading to a more intense greenhouse effect. This enhanced greenhouse effect is causing global temperatures to rise, resulting in climate change and various negative impacts on ecosystems and human societies.
In summary, the greenhouse effect is a natural process that helps regulate Earth's temperature, making it suitable for life. It becomes a concern when human activities increase greenhouse gas concentrations, leading to an enhanced greenhouse effect and climate change.

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We can find the value if we write the complete expression:

Considering only two factors at a time, and knowing that - * - = +, we have:

Therefore, (-2)^4 = 16

Answer:

-16!!

-2x-2x-2x-2= -16.

The y coordinate must be 14 if the value is half of 28. So, (0, 14) is the location you're referring to.

The position of points or other geometrical components on a manifold, such as Euclidean space, can be uniquely determined using one or more numbers, or coordinates. The Cartesian coordinate system, which uniquely identifies each point by a pair of real integers called coordinates4, is the most widely used coordinate system. The point of intersection of the two axes is (0, 0) because the vertical number line is known as the Y-axis and the horizontal number line is known as the X-axis..

This description resembles that of a point in a 2D coordinate system.

The x coordinate must be zero if it is neither positive nor negative.

The y coordinate must be 14 if the value is half of 28. So, (0, 14) is the location you're referring to.

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Answer:

answer is 64

Step-by-step explanation:

Answer:

I believe that it is 21

Step-by-step explanation:

If you divide 28 by 24 you will get the percentage increase from the pink shape to the green shape then you multiply 18 by the percentage to get your answer

Answer:

s=22

Step-by-step explanation:

Because the largest side of the big rectangle is 4 more than the largest side of the small rectangle, the smaller side of the big rectangle is 4 more that the smaller side of the small rectangle.

No Solution.

Since, the x-axis (equation y=0) does not intersect y=-7 at any point. The given pair of equations has no solution

Consider the pair of linear equations in two variables x and y.

a1x + b1y + c1 = 0

a2x + b2y + c2 = 0

Here a1, b1, c1, a2, b2, c2 are all real numbers.

Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0

1. If (a1/a2) ≠ (b1/b2), then there will be a unique solution. If we plot the graph, the lines will intersect. This type of equation is called a consistent pair of linear equations.

2. If (a1/a2) = (b1/b2) = (c1/c2), then there will be infinitely many solutions. The lines will coincide. This type of equation is called a dependent pair of linear equations in two variables

3. If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution. If we plot the graph, the lines will be parallel. This type of equation is called an inconsistent pair of linear equations.

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Answer:

3

Step-by-step explanation:

(-4)-(-1)=3

Answer:

1) -3, -2.5, -3/4, -3/8, 1/4, 3.1, 16/5, 6

Step-by-step explanation:

The required partial fraction expansion is (-1/9)/s + (-1/9)/s^2 + (1/36)/(s-3) + (-1/36)/(s+3) + (1/9)/(s-3).

To determine the partial fraction expansion for the given rational function, we need to factorize the denominator and express it as a sum of simpler fractions.

The denominator is given as: (s^2)(s-3)(s^2-9)

We can factorize the denominator further:

(s^2)(s-3)(s^2-9) = (s^2)(s-3)(s+3)(s-3)

Now, we express the rational function as a sum of partial fractions:

1/((s^2)(s-3)(s^2-9)) = A/s + B/s^2 + C/(s-3) + D/(s+3) + E/(s-3)

To find the values of A, B, C, D, and E, we need to equate the numerator of the rational function with the partial fraction expression:

1 = A(s^2)(s+3)(s-3) + B(s+3)(s-3) + C(s^2)(s-3) + D(s^2)(s+3) + E(s^2)

Now, we solve for A, B, C, D, and E by substituting specific values of s that make certain terms vanish.

For s = 0:

1 = -9A

A = -1/9

For s = 0 (squared term):

1 = -9B

B = -1/9

For s = 3:

1 = 36C

C = 1/36

For s = -3:

1 = -36D

D = -1/36

For s = 3 (squared term):

1 = 9E

E = 1/9

Therefore, the partial fraction expansion for the given rational function is:

1/((s^2)(s-3)(s^2-9)) = (-1/9)/s + (-1/9)/s^2 + (1/36)/(s-3) + (-1/36)/(s+3) + (1/9)/(s-3)

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The linear model for the snow (S) in terms of hours (h) during the snowstorm is S = 2h + 8, where S represents the snow in inches and h represents the number of hours since the start of the snowstorm.

To write a linear model for the snow (S) in terms of hours (h) during the snowstorm at the ski resort, we can use the information given:

The initial amount of snow on the ground when the snowstorm began is 8 inches.

The snow is falling at a rate of 2 inches per hour.

Based on this information, we can establish the following linear relationship:

S = 2h + 8

In this linear model, 'S' represents the amount of snow in inches, and 'h' represents the number of hours since the start of the snowstorm. The coefficient of 'h' is 2, representing the rate of snowfall per hour. The constant term 8 represents the initial amount of snow on the ground before the snowstorm started.

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Answer:

Assumed the base is a square

Find the height:

Find the side of base:

Find volume:

Find the surface area:

Answer:

the height of pyramid

tan 42°=h/ DO

h=6 tan 42° = 5.4 units

the side of base a = 2DO/√2 = √2DO = 6√2 = 8.5 units

volume= V = a?h/3 = 8.52(5.4)/3 = 130.1 units

surface area{S }= a + 4×1/2×a/(a/2)² + h² =

8.5²+ 2*8.5 √((8.5/2)² + 5.4²)= 189.7 unit²

9514 1404 393

Answer:

  c > -2

Step-by-step explanation:

We see that 4 has been added to c, and the sum multiplied by 2. Undoing these operations in reverse order, we first divide by 2:

  c +4 > 2

Then we subtract 4:

  c > -2

This does not include the "equal to" case, so the circle at c=-2 is open.

The described sampling method is an example of random sampling.

The sampling method described in the question is known as simple random sampling, which is a common method of selecting a representative sample from a population.

In this method, each member of the population is assigned a unique number, and a certain number of individuals are selected randomly from the population.

Simple random sampling is a type of probability sampling, which means that each member of the population has an equal chance of being selected for the sample.

This is important because it ensures that the sample is representative of the population as a whole, and reduces the risk of sampling bias.

The process of simple random sampling is straightforward and easy to implement, making it a popular choice for researchers. However, it can be time-consuming and may not be practical for very large populations. In such cases, other sampling methods such as stratified sampling or cluster sampling may be more appropriate.

Overall, simple random sampling is a reliable and effective method of selecting a representative sample from a population, and is widely used in research studies and surveys.

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Answer:

Consider the given equation.

4sinxsin2xsin4x=sin3x

2(2sin2xsinx)sin4x=sin3x

We know that

2sinAsinB=cos(A−B)−cos(A+B)

Therefore,

2[cos(2x−x)−cos(2x+x)]sin4x=sin3x

2[cosx−cos3x]sin4x=sin3x

2sin4xcosx−2sin4xcos3x=sin3x

We know that

2sinAcosB=sin(A+B)+sin(A−B)

Therefore,

sin(4x+x)+sin(4x−x)−[sin(4x+3x)+sin(4x−3x)]=sin3x

sin(5x)+sin(3x)−[sin(7x)+sin(x)]=sin3x

sin(5x)−sin(7x)=sin(x)

We know that

sinC−sinD=2cos(

2

C+D

)sin(

2

C−D

)

Therefore,

2cos(

2

5x+7x

)sin(

2

5x−7x

)=sinx

2cos(

2

12x

)sin(

2

−2x

)=sinx

2cos(6x)sin(−x)=sinx

−2cos(6x)sin(x)=sinx

cos6x=−

2

1

6x=2nπ±

3

2π

x=

3

nπ

±

9

π

Hence, the value is

3

nπ

±

9

π

.

sorry mate don't know the answer

Let n be the number of years since the population started increasing, and let p(n) the the population after n years. We'll have that:

For n = 16, we'll have that:

This way, we can conclude that:

Answer: The answer is 252,000 paisa.

Explanation: The explanation is in the image.

1. The equation 3x² + 5y² - 12x + 30y = -42 represents an ellipse.

2. The equation x² + 3y² + 4x = 5 represents an ellipse.

3. The equation x² + 2x + 4y = 7 represents a parabola.

To determine the conic section given by each equation, we need to examine the coefficients of the variables and the constant terms. Based on these coefficients, we can identify the type of conic section.

1. 3x² + 5y² - 12x + 30y = -42

By rearranging the terms and completing the

for both x and y, we can rewrite the equation as follows:

3(x² - 4x) + 5(y² + 6y) = -42

To complete the square for x, we need to add (4/2)² = 4 to both sides of the equation: 3(x² - 4x + 4) + 5(y² + 6y) = -42 + 3(4)

Simplifying:

3(x - 2)² + 5(y² + 6y) = -30

Completing the square for y:

3(x - 2)² + 5(y² + 6y + 9) = -30 + 5(9)

Simplifying:

3(x - 2)² + 5(y + 3)² = 15

Dividing both sides by 15:

(x - 2)²/5 + (y + 3)²/3 = 1

The equation represents an ellipse centered at (2, -3) with semi-major axis along the x-axis and semi-minor axis along the y-axis.

2. x² + 3y² + 4x = 5

By rearranging the terms and completing the square for both x and y, we have:

x² + 4x + 3y² = 5

Completing the square for x:

(x² + 4x + 4) + 3y² = 5 + 4

Simplifying:

(x + 2)² + 3y² = 9

Dividing both sides by 9:

(x + 2)²/9 + y²/3 = 1

The equation represents an ellipse centered at (-2, 0) with semi-major axis along the y-axis and semi-minor axis along the x-axis.

3. x² + 2x + 4y = 7

By rearranging the terms and completing the square for both x and y, we have:

x² + 2x + 4y - 7 = 0

Completing the square for x:

(x² + 2x + 1) + 4y - 7 = 1

Simplifying:

(x + 1)² + 4y - 8 = 1

Dividing both sides by 8:

(x + 1)²/8 + y = 1

The equation represents a parabola with its vertex at (-1, 0) and opening to the right.

In summary:

1. The equation 3x² + 5y² - 12x + 30y = -42 represents an ellipse.

2. The equation x² + 3y² + 4x = 5 represents an ellipse.

3. The equation x² + 2x + 4y = 7 represents a parabola.

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Answer:

6p-42

Step-by-step explanation:

it is in factorized form so if you want to simplify it u use distributive property over subtraction.

6p-42

Why not? Because it fails the vertical line test. Here it is possible to draw a single straight vertical line through more than one point on the curve. That's why choice D is not a function. Choices A,B,C are functions because it's impossible to draw a single vertical line through more than two points on the curve, and therefore we can say they pass the vertical line test.

Side note: choices B and C fail the horizontal line test, so these functions are not one-to-one.

When a thesis test is being performed for a population mean, the probability of a type II error isn't dependent on the sample mean. Option B is the right answer.

A type II error occurs when a null thesis isn't rejected despite it being incorrect. It's worth noting that the threat of making a type II error is affected by several factors, including the sample size, the true population mean, the position of significance, and the variability of the data.

As a result, the larger the sample size, the lower the threat of making a type IIerror.The true population mean also has an impact on the liability of a type II error. As the difference between the true mean and the hypothecated mean grows, the threat of a type II error decreases.

The position of significance is also pivotal in determining the threat of a type II error. As the significance position increases, the threat of a type II error decreases.

So, the correct answer is B

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Answer: p=8

Step-by-step explanation: 1.23p−15.15=−5.31Move the constant to the right side1.23p=−5.31+15.15Add the terms1.23p=9.84Divide both sides1.231.23p​=1.239.84​Simplify1.231.23p​=8Solutionp=8

Answer:

i think its 6

Step-by-step explanation:

You have to divide 5 to 5/6 which equals 6

Answer:

6

Step-by-step explanation: