HELP PLZZZZZZZZZZ ITS DUE NOW

In a group of 70 people eligible for promotion, with 38 women and 32 men, 20 individuals will be randomly selected. We want to find the probability of the number of women receiving promotions (X) being less than or equal to 6. By calculating the probabilities for X values from 0 to 6 and summing them up, we find that the probability is approximately 0.16.

To calculate the probability of X (number of women who receive promotions) being less than or equal to 6, we need to consider the total number of ways we can choose 20 people out of 70, as well as the number of ways we can choose X women out of 38.

The total number of ways to choose 20 people out of 70 is given by the combination formula:

C(70, 20) = 70! / (20! * (70 - 20)!) = 53,098,897,760.

Now, let's calculate the probability of X women receiving promotions, where X ranges from 0 to 6. We'll sum up the probabilities for each value of X:

P(X = 0) = C(38, 0) * C(32, 20) / C(70, 20)

P(X = 1) = C(38, 1) * C(32, 19) / C(70, 20)

P(X = 2) = C(38, 2) * C(32, 18) / C(70, 20)

P(X = 3) = C(38, 3) * C(32, 17) / C(70, 20)

P(X = 4) = C(38, 4) * C(32, 16) / C(70, 20)

P(X = 5) = C(38, 5) * C(32, 15) / C(70, 20)

P(X = 6) = C(38, 6) * C(32, 14) / C(70, 20)

Using the combination formula to calculate each probability, we have:

P(X = 0) = (38! / (0! * (38 - 0)!)) * (32! / (20! * (32 - 20)!)) / (70! / (20! * (70 - 20)!))

P(X = 1) = (38! / (1! * (38 - 1)!)) * (32! / (19! * (32 - 19)!)) / (70! / (20! * (70 - 20)!))

P(X = 2) = (38! / (2! * (38 - 2)!)) * (32! / (18! * (32 - 18)!)) / (70! / (20! * (70 - 20)!))

P(X = 3) = (38! / (3! * (38 - 3)!)) * (32! / (17! * (32 - 17)!)) / (70! / (20! * (70 - 20)!))

P(X = 4) = (38! / (4! * (38 - 4)!)) * (32! / (16! * (32 - 16)!)) / (70! / (20! * (70 - 20)!))

P(X = 5) = (38! / (5! * (38 - 5)!)) * (32! / (15! * (32 - 15)!)) / (70! / (20! * (70 - 20)!))

P(X = 6) = (38! / (6! * (38 - 6)!)) * (32! / (14! * (32 - 14)!)) / (70! / (20! * (70 - 20)!))

Performing the calculations, we find:

P(X = 0) = 0.0991

P(X = 1) = 0.2402

P(X = 2) = 0.2992

P(X = 3) = 0.2384

P(X = 4) = 0.1286

P(X = 5) = 0.0441

P(X = 6) = 0.0120

Finally, we can calculate the probability of X being less than or equal to 6:

P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0991 + 0.2402 + 0.2992 + 0.2384 + 0.1286 + 0.0441 + 0.0120 = 0.1616, which is approximately 0.16.

Therefore, the probability P(X ≤ 6) is approximately 0.16.

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Answer:

I'm not completing sure (maybe a)

Step-by-step explanation:

Answer:

45 bottles per minute

Step-by-step explanation:

the number of bottles per minute would equal the rate of change, or 'slope'

the slope formula is 'the difference of the two y-values / difference of the two x-values'

(270-135) / (6-3) = 135/3 or 45 bottles per minute

Answer:

If your asking what plus 400 then it would be 564

Step-by-step explanation:

You had the first 2 numbers then subtract 400

564 is added with 400 to make 568 + 396 same as + 400.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

568 + 396 = x + 400

Solve for x.

568 + 396 = x + 400

Subtract 400 on both sides.

964 - 400 = x

x = 564

Thus,

568 + 396 is the same as 564 + 400.

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Answer:

$2.10

Step-by-step explanation:

change the rate of sales tax to a decimal by dividing by 100, so 3%=.03

multiply the price by .03

Answer:

2.10

Step-by-step explanation:

You do 3% of 70 which equals 2.10

Answer:

Dilation of 0.5.

Step-by-step explanation:

Dilations are basically scale factors. If you multiply both x and y by 0.5, you get the transformation.

Example:

E (-5 ·0.5 , -3 · 0.5)

E' (-2.5, -1.5)

Answer:

  A dilation with a scale factor of 2

Step-by-step explanation:

Each image coordinate is double the corresponding pre-image coordinate. That means the figure was dilated by a factor of 2.

Since the 1980s, the percentage of Americans who are members of a workplace union has declined significantly.

According to data from the Bureau of Labor Statistics, the union membership rate in the United States has experienced a substantial decrease over the past few decades. In the 1980s, the union membership rate was around 20% of the total workforce. However, as of the most recent available data, which is from 2020, the union membership rate stands at approximately 10.8%.

This indicates a decline of about 9.2 percentage points since the 1980s. The reasons for this decline include various factors such as changes in labor laws, economic shifts, and shifts in industries and employment patterns.

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P = 8 + 10 + 8 + 10

P = 36

..................................

Answer:

q=4(p-r)

Step-by-step explanation:

p-r=q/4

4(p-r)=q

answer: \(4p + r = q\)

work:

\(p = \frac{q}{4} -r\)

\(p + r = \frac{q}{4}\)

\(4 *p+r=\frac{q}{4} *4\)

\(4p + r = q\)

It takes 10 years for investment account 2 to double and the investment account double every year.

For investment account 1, it doubles every year, so it takes log₂(2) = 1year to double. This is done using logarithm since the growth is exponential

For investment account 2, we need to find when its balance reaches $2,000. We can do this by adding $100 to its balance each year until it reaches $2,000.

Year 1: $1,000 + $100 = $1,100

Year 2: $1,100 + $100 = $1,200

Year 3: $1,200 + $100 = $1,300

...

Year 10: $1,900 + $100 = $2,000

So, it takes 10 years for investment account 2 to double.

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Answer:

The first is 36,763    second 30 hours

Step-by-step explana

a.  y(t) = x(t-2) + x(2-t) is causal,

b. y(t) = c is memoryless, linear, time-invariant, and causal. It is stable.

c. y(t) = (cos(3t)]x(t) is causal and stable.

d.  y(n) = x(n - 2) – 2x(n - 8) is causal.

e. y(n) = nx(n) is memoryless, linear, time-invariant, causal, and stable.

f. y(n) = x(4n + 1) is causal.

a. y(t) = x(t-2) + x(2-t)

It is causal as the output at any time depends only on the present and past values of the input.

Stability cannot be determined from the given equation.

b. y(t) = c

This system is memoryless because the output y(t) is solely determined by a constant value c, regardless of the input.

It is linear as the output is a scaled version of the input x(t), and it is also time-invariant since shifting the input does not affect the output expression. It is causal and stable since it produces a constant output regardless of the input.

c. y(t) = (cos(3t)) × x(t)

It is time-invariant since shifting the input does not affect the output expression.

It is causal and stable as the output at any time depends only on the present and past values of the input.

d. y(n) = x(n - 2) – 2x(n - 8)

The system is time-invariant as shifting the input by a constant time results in the same output expression.

It is causal as the output at any time depends only on the present and past values of the input.

Stability cannot be determined from the given equation.

e. y(n) = nx(n)

This system is memoryless because the output y(n) is solely determined by the present value of the input x(n) multiplied by n.

It is linear since it consists of scaling the input by n.

It is time-invariant as shifting the input does not affect the output expression.

It is causal and stable as the output at any time depends only on the present value of the input.

f. y(n) = x(4n + 1)

It is linear as it involves a single scaling operation.

It is time-invariant as shifting the input does not affect the output expression.

It is causal as the output at any time depends only on the present and past values of the input.

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In the given problem, we need to investigate if the given systems are linear memoryless, linear, time-invariant, casual, and stable.

Let's discuss the given system step by step:

a) y(t) = x(t-2) + x(2-t)

Memoryless:

The system y(t) = x(t-2) + x(2-t) is not memoryless because the output at any given time t depends on the input over a range of time.

Linear:

The system y(t) = x(t-2) + x(2-t) is linear because it satisfies the following two properties

:i) Homogeneity

ii) Additivity

Time-invariant:

The system y(t) = x(t-2) + x(2-t) is not time-invariant because a time delay in the input x(t) causes a different time delay in the output y(t).

Casual:

The system y(t) = x(t-2) + x(2-t) is not casual because the system's output depends on the future input samples.

Stable:

The system y(t) = x(t-2) + x(2-t) is not stable because the impulse response of this system is not absolutely summable.

b) y(t) =Memoryless:

The system y(t) = is not memoryless because the output at any given time t depends on the input over a range of time.

Linear:

The system y(t) = does not satisfy the additivity property. Hence, it is not linear.

Time-invariant:

The system y(t) = is time-invariant because shifting the input causes the same amount of shift in the output.

Casual:

The system y(t) = is casual because the system's output depends on the present and past input samples.

Stable:

The system y(t) = is stable because the impulse response of this system is absolutely summable.

c) y(t) = (cos(3t)]x(t)Memoryless:

The system y(t) = (cos(3t)]x(t) is not memoryless because the output at any given time t depends on the input over a range of time.

Linear:

The system y(t) = (cos(3t)]x(t) is linear because it satisfies the following two properties:

i) Homogeneity

ii) AdditivityTime-invariant:

The system y(t) = (cos(3t)]x(t) is time-invariant because shifting the input causes the same amount of shift in the output.

Casual:

The system y(t) = (cos(3t)]x(t) is casual because the system's output depends on the present and past input samples.

Stable:

The system y(t) = (cos(3t)]x(t) is stable because the impulse response of this system is absolutely summable.

d) y(n) = x(n - 2) – 2x(n - 8)Memoryless:

The system y(n) = x(n - 2) – 2x(n - 8) is not memoryless because the output at any given time n depends on the input over a range of time.

Linear:

The system y(n) = x(n - 2) – 2x(n - 8) is linear because it satisfies the following two properties

:i) Homogeneity

ii) AdditivityTime-invariant:

The system y(n) = x(n - 2) – 2x(n - 8) is time-invariant because shifting the input causes the same amount of shift in the output.

Casual:

The system y(n) = x(n - 2) – 2x(n - 8) is not casual because the system's output depends on the future input samples.

Stable:

The system y(n) = x(n - 2) – 2x(n - 8) is stable because the impulse response of this system is absolutely summable.

e) y(n) = nx(n)Memoryless:

The system y(n) = nx(n) is memoryless because the output at any given time n depends on the present input sample.

Linear:

The system y(n) = nx(n) is not linear because it does not satisfy the homogeneity property.

Time-invariant:

The system y(n) = nx(n) is time-invariant because shifting the input causes the same amount of shift in the output.

Casual:

The system y(n) = nx(n) is not casual because the system's output depends on the future input samples.

Stable:

The system y(n) = nx(n) is not stable because the impulse response of this system is not absolutely summable.

f) y(n) = x(4n + 1)Memoryless:

The system y(n) = x(4n + 1) is memoryless because the output at any given time n depends on the present input sample.

Linear:

The system y(n) = x(4n + 1) is not linear because it does not satisfy the additivity property.

Time-invariant:

The system y(n) = x(4n + 1) is time-invariant because shifting the input causes the same amount of shift in the output.

Casual:

The system y(n) = x(4n + 1) is not casual because the system's output depends on the future input samples.

Stable:

The system y(n) = x(4n + 1) is not stable because the impulse response of this system is not absolutely summable.

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Answer:

343 square unit is the answer...

Step-by-step explanation:

as a^3 is formula for finding volume where a is 7

The sampling distribution of the sample mean when the sample size is n=5 is 0.15.

When the sample size is n=5, the sampling distribution of the sample mean can be calculated using the formula;

μx=μn=μ = p1 = 1−p,

where p = the probability of getting a 1 from the population.

The formula used to determine the sampling distribution of the sample mean is given as;

μx=μn=μ = p1 = 1−p

where;

μx= the mean of the sampling distribution

μ= the mean of the population

n= the size of the sample

p = the probability of getting a 1 from the population.

Using the formula;

μx=μn=μ = p1 = 1−p, the probability of getting a 1 can be calculated as;p = 3/4 (since there are 3 million 1s in a population of 4 million)

Thus,μx=μn=μ = p1 = 1−p = (3/4)(1/5) + (1/4)(1/5) = 0.15

The sampling distribution of the sample mean when the sample size is n=5 is 0.15.

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The length of the bar is 10.5 foot and the width of the bar is 5.7 foot .

In the question ,

it is given that

the base area of the large chocolate bar is 59.85 square foot .

let the length of the chocolate bar be "l"

and the breadth of the chocolate bar be "b"

given that the length is 0.9 foot shorter than twice its width , means

l = 2w - 0.9

we have the area of rectangle = length \(\times\) width

Substituting the values of length , width and area we get

59.85 = (2w - 0.9 ) * w

59.85 = 2w² - 0.9w

2w² -0.9w -59.85 = 0

On solving the quadratic equation ,

we get w = -5.25 and w = 5.7

width cannot be in negative , so, the width is 5.7 foot .

and l = 2(5.7) -0.9 = 11.4 - 0.9 = 10.5

Therefore , the length of the bar is 10.5 foot and the width of the bar is 5.7 foot .

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Answer:

[-4,2]

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

y=5x + 5

0=5 (5)+5

0=10+5

0≠15

False

A cubic close-packed (ccp) unit cell has a coordination number of 12.

A cubic close-packed (ccp) unit cell has an arrangement of atoms where each atom is surrounded by 12 other atoms, resulting in a coordination number of 12.

A cubic close-packed (ccp) unit cell is a type of unit cell that has an arrangement of atoms where each atom is surrounded by 12 other atoms. This arrangement forms a structure with a coordination number of 12, meaning that each atom has 12 other atoms in contact with it. This type of arrangement is very common in many materials, and is often used to describe the structure of metals and other crystalline materials. The atoms in a ccp unit cell are arranged in a regular pattern, with three atoms in each of the eight corners and four atoms in the center of each face of the unit cell.

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Answer is $15,840.00

................

The model is a very good fit. The remaining 2% of the variance may be explained by other factors not included in the model.

b. If the goodness of fit coefficient (R²) is 0.98 in a estimated regression equation, then it tells that the independent variables in the model explain about 98% of the variance in the dependent variable.

8. Extreme values can significantly affect the volatility levels represented by the standard deviation statistic. Since standard deviation measures the amount of dispersion in a set of data from its mean, it is heavily influenced by extreme values. As such, an increase in the number of extreme values in a dataset will result in an increase in the value of the standard deviation. Similarly, the removal of extreme values would lead to a decrease in the standard deviation.

9. In a multiple linear regression model where both income and gender are considered as potential factors affecting spending behavior, we need to create dummy variables for gender. For example, if male is the reference category, then the equation for females is given by:Spending = β0 + β1(Income) + β2(Female) + eWhere Female = 1 if the observation is for a female, and 0 otherwise. The equation for males is:Spending = β0 + β1(Income) + eIn this equation, since male is the reference category, the β2 coefficient is not present, since it is 0 for males.

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Jasmine, as a structural engineer, is responsible for designing the lift hill of a roller coaster. By designing the lift hill according to this equation, Jasmine ensures that the roller coaster operates safely and effectively.

Jasmine, as a structural engineer, is responsible for designing the lift hill of a roller coaster. The equation y=x is a simple linear equation, where y represents the height of the lift hill and x represents the horizontal distance traveled along the track. In this case, the equation suggests that the height of the lift hill increases linearly with the horizontal distance traveled.

The equation y=x implies that for every unit increase in the distance traveled along the track, there is an equal increase in the height of the lift hill. This linear relationship ensures a gradual incline for the roller coaster, providing a smooth and enjoyable experience for riders. By designing the lift hill according to this equation, Jasmine ensures that the roller coaster operates safely and effectively.

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The answer is 15.To determine the number of different homes that can be built, we need to consider the different combinations of interior plans and home exteriors.

Given that there are three different interior plans and five different home exteriors, we can use the multiplication principle to find the total number of combinations. Multiplying 3 by 5 gives us 15 unique combinations.Let's break it down: For each of the three interior plans, we have five options for the home exterior. This means that for the first interior plan, we can pair it with any of the five home exteriors. Similarly, for the second interior plan, we can also pair it with any of the five home exteriors, and the same applies to the third interior plan.

Using the multiplication principle, we multiply the number of options for each choice together to find the total number of combinations. In this case, it is 3 (interior plans) multiplied by 5 (home exteriors), which equals 15. Therefore, the developer can build 15 different homes by combining the three interior plans with the five home exteriors. In conclusion, the answer is 15.

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The integral ∫ 5 4 (t³i +t √t − 4 j + t sin πtk) dt is evaluated as (1/4)t⁴ + (10/3)i + (-5k cos(5πk))j + (-4/πk) sin(4)k + (1/πk) sin(5πk)k + C

To evaluate the given integral, we need to integrate each component of the vector function separately with respect to t.

∫_4⁵ (t³i + t√(t-4)j + t sin(πtk)k) dt

The integral of the first component t³ with respect to t is (1/4)t⁴.

The integral of the second component t√(t-4) with respect to t can be simplified by making a substitution. Let u = t-4, then du/dt = 1 and dt = du. So the integral becomes:

∫_0¹ ((u+4)√u du) = ∫_0¹ (\(u^{1/2\) + 4\(u^{1/2\)) du = (2/3)\(u^{3/2\) + 8/3 \(u^{1/2\) evaluated from 0 to 1

= (2/3)(1\(u^{3/2\) - \(0^{(3/2)\)) + 8/3 (\(1^{(1/2)\) - \(0^{(1/2)\)) = 2/3 + 8/3 = 10/3.

The integral of the third component t sin(πtk) with respect to t can be evaluated using integration by substitution. Let u = πtk, then du/dt = πk and dt = du/(πk). So the integral becomes:

(1/πk) ∫_\(4^{(5\pi k)\) (u/π) sin(u) du

Using integration by parts, let u = (u/π), dv = sin(u) du, then du = du/π and v = -cos(u):

= (1/πk) [(u/π) (-cos(u)) - ∫_\(4^{(5\pi k)\) (-cos(u) du/π)]

= (1/πk) [(u/π) (-cos(u)) + (1/π) sin(u)] evaluated from 4 to 5πk

= (1/πk) [(5πk/π) (-cos(5πk)) - (4/π) sin(4) + (1/π) sin(5πk)]

= (-5k cos(5πk)) - (4/πk) sin(4) + (1/πk) sin(5πk)

Therefore, the final answer for the integral is: (1/4)t⁴ + (10/3)i + (-5k cos(5πk))j + (-4/πk) sin(4)k + (1/πk) sin(5πk)k + C, where C is the constant of integration.

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Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently.

Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently, it is recommended to consider creating a new dependent entity to represent the values. This can help to simplify the design and make it easier to manage and maintain. The new entity can be linked to the original entity through a relationship, allowing each value to be processed independently while still maintaining the integrity of the data. Overall, this approach can improve the efficiency and effectiveness of the system, making it easier to work with and providing better results for the end user.

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The number of representatives for Oregon, which has a population of about 3.3 million is 6 Representatives (Option B).

The regression equation y = 1.73x + 0.39 is the equation of the line of best fit. To use this equation to predict the number of representatives for Oregon, which has a population of about 3.3 million, we need to substitute the population of Oregon (x = 3.3 million) into the equation and solve for y.

y = 1.73x + 0.39

y = 1.73(3.3) + 0.39

y = 5.659 + 0.39

y = 6.049

So the number of representatives for Oregon is approximately 6.049. The closest answer to that is

B. 6 representatives

Therefore, The number of representatives for Oregon, which has a population of about 3.3 million is 6 Representatives (Option B).

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Answer:

add this and (5 × 5 × 5) × (5 × 5 × 5 × 5 × 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Turn the question around so it is easier to see.The open end is closest to n.

6n>48          Divide by 6

6n/6>48/6

n > 8

So all you have to do is choose 3 values greater than 8

How about 9,10,11