Describe the sampling distribution of p. Assume the size of the population is 30,000. n=900, p=0.532 Describe the shape of the sampling distribution of p. Choose the correct answer below. OA The shape

Answer:

k=-27

Step-by-step explanation:

\(\frac{k-7}{-0.4}=85\\\\k-7=85(-0.4)\\\\k=7-34\\\\k=-27\)

Answer:

West junior High needs to fill its swimming pool with water. Determine the amount of water it needs by finding the volume of the pool. Use the drop-down menus to complete the statements.

First, write the

✔ formula: V = lwh

.

Next, use parentheses when you substitute

✔ 50, 25, and 3

for l,w, and h.

Now, simplify by

✔ multiplying

50, 25, and 3.

The volume of the pool is

✔ 3,750

m3.

Step-by-step explanation:

Answer:

drop down menus its B A C D

Step-by-step explanation:

Answer:

92 degrees

Step-by-step explanation:

<HEF and <AED are vertical angles.

The Mean Absolute Error (MAE) is [Insert value]. The Mean Squared Error (MSE) is [Insert value].

To calculate the Mean Absolute Error (MAE) and Mean Squared Error (MSE) using exponential smoothing, we need to find the optimum alpha value that minimizes the MSE. Excel Solver can be used to determine this value.

Organize the data: Arrange the given data in a column in Excel: 155, 145, 155, 162, 180, 165, 172, 149, 170, 172.

Set up the exponential smoothing model: Define the forecast for each period using the formula: Forecast = α * Actual + (1 - α) * Forecast(t-1)

Calculate the MAE and MSE: For each period, calculate the forecasted value using the exponential smoothing model. Then, calculate the absolute error by taking the absolute difference between the forecasted value and the actual value. Square each absolute error to obtain the squared error. Finally, calculate the average of the absolute errors to find the MAE and the average of the squared errors to find the MSE.

Use Excel Solver: To determine the optimum alpha value, you can set up Excel Solver to minimize the MSE by changing the alpha value. The objective is to find the alpha value that gives the lowest MSE.

After performing the calculations and using Excel Solver to find the optimum alpha value, you can obtain the Mean Absolute Error (MAE) and Mean Squared Error (MSE) for the given data. These values will provide a measure of the accuracy of the exponential smoothing forecast.

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Answer:

Marked price= RS 1600

Discount= RS 80

Step-by-step explanation:

Let

x= the marked price

Discount= 5%

Discount = 5% of x

=0.05x

Cost after discount = x-0.05x

= 0.95x

Vat=10%

=0.1

Cost of the radio including vat=0.95x + 0.1(0.95x)

=0.95x + 0.095x

=1.045x

Price became rs 1672

Therefore,

1.045x=1672

Divide both sides by 1.045

x= RS 1600

Discount=5% of 1600

=0.05 * 1600

=rs 80

Answer:

The overbar indicates the digit repeats forever. It is worth remembering that

Your number is 3/9 = 1/3

Step-by-step explanation:

If u is an orthogonal matrix and v is constructed by interchanging some of the columns of u, then v is also an orthogonal matrix. This is because the columns of an orthogonal matrix are orthonormal.

An orthogonal matrix is a square matrix whose columns are orthonormal. This means that each column has a length of 1 and is orthogonal to all the other columns. Formally, this can be written as:

u^T u = u u^T = I

where u^T is the transpose of u and I is the identity matrix.

Now suppose we construct a new matrix v by interchanging some of the columns of u. Let's say we interchange columns j and k, where j and k are distinct column indices of u. Then the matrix v is given by:

v = [u_1, u_2, ..., u_{j-1}, u_k, u_{j+1}, ..., u_{k-1}, u_j, u_{k+1}, ..., u_n]

where u_i is the ith column of u.

To show that v is orthogonal, we need to show that its columns are orthonormal. Let's consider the jth and kth columns of v. By construction, these columns are u_k and u_j, respectively, and we know from the properties of u that:

u_j^T u_k = 0 and u_j^T u_j = u_k^T u_k = 1

Therefore, the jth and kth columns of v are orthogonal and have a length of 1, which means they are orthonormal. Moreover, all the other columns of v are also orthonormal because they are simply copies of the corresponding columns of u, which are already orthonormal.

Finally, we can show that v is indeed an orthogonal matrix by verifying that v^T v = v v^T = I, using the definition of v and the properties of u. This completes the proof that v is an orthogonal matrix.

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The hairstylist needs to give at least 4 haircuts to make at least $108 in one day.

We know that the hairstylist wants to make at least $108 in one day. Therefore, we can set up an equation:

Total income >= $108

$44 + $16x >= $108

Subtracting $44 from both sides, we get:

$16x >= $64

Dividing both sides by $16, we get:

x >= 4

So the hair stylist needs to give at least 4 haircuts to make at least $108 in one day.

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The reciprocal of each of the following fractions:

i) 7/3 - improper fraction

ii) 8/5 - improper fraction

iii) 7/9 - proper fraction

iv) 5/6 - proper fraction

v) 7/12 - proper fraction

vi) 8 - whole number

vii) 11 - whole number

To find the reciprocal of a fraction, we simply invert the fraction by swapping the numerator and the denominator.

i) Reciprocal of 3/7: 7/3

  - Classification: Improper fraction

ii) Reciprocal of 5/8: 8/5

   - Classification: Improper fraction

iii) Reciprocal of 9/7: 7/9

    - Classification: Proper fraction

iv) Reciprocal of 6/5: 5/6

   - Classification: Proper fraction

v) Reciprocal of 12/7: 7/12

  - Classification: Proper fraction

vi) Reciprocal of 1/8: 8/1 or simply 8

   - Classification: Whole number

vii) Reciprocal of 1/11: 11/1 or simply 11

    - Classification: Whole number

So, to summarize the classifications:

- Proper fractions: 7/9, 5/6, 7/12

- Improper fractions: 7/3, 8/5

- Whole numbers: 8, 11.

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The expression to find the perimeter of a square with a side length of 3x units is: 4(3x) = 12x.

This means that the perimeter of the square can be found by multiplying the length of one side (3x) by 4, since a square has four equal sides.

To understand why this expression is correct, it's helpful to recall that the perimeter of any polygon is the sum of the lengths of its sides. For a square, all four sides are equal, so we can simply add the length of one side to itself three times to find the total perimeter.

In this case, the length of one side is 3x, so the perimeter is:

3x + 3x + 3x + 3x = 12x

Therefore, the expression 4(3x) = 12x correctly represents the perimeter of a square with a side length of 3x units.

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Answer: Answer:(f-g)(x) = 3x^3+8x^2-9x+2

Step-by-step explanation:Answer:(f-g)(x) = 3x^3+8x^2-9x+2

The probability that Mr. Z will keep his driver's license for at least 10 years is approximately 0.2212 or 22.12%.

To find the probability that Mr. Z will keep his driver's license for at least 10 years, we can use the Poisson distribution to model the occurrence of the rare event of him being caught drinking and driving.

The average frequency of Mr. Z drinking and driving is once in 4 years. Since the Poisson distribution assumes a constant average rate, we can use this information to calculate the average rate parameter (λ) for the Poisson distribution.

λ = Average frequency = 1 event in 4 years

To find the probability of Mr. Z not being caught drinking and driving for at least 10 years, we need to calculate the cumulative probability of zero events occurring in a 10-year period.

\(P(X > = 0) = 1 - P(X < 0)\)

Using the Poisson distribution formula, we can calculate the probability of zero events:

\(P(X = 0) = (e^(-λ) * λ^0) / 0!\)

Substituting the value of λ into the formula, we get:

\(P(X = 0) = (e^-(1/4) * (1/4)^0) / 0!\)

\(P(X = 0) = e^-(1/4)\)

To find the probability of Mr. Z not being caught drinking and driving for at least 10 years, we take the cumulative probability:

\(P(X > = 0) = 1 - e^-(1/4)\)

Calculating this value, we find:

\(P(X > = 0) = 0.2212\)

Therefore, the probability that Mr. Z will keep his driver's license for at least 10 years is approximately 0.2212 or 22.12%.

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Given:

90 + 27

Let's apply the distributive property to factor out the greatest common factor.

First find greatest common factor of 90 and 27

Greatest common Factor of 90 and 27 = 9

Thus, we have:

Applying distribuive property, we could rewrite as: 9(10 + 3)

ANSWER:

9(10 + 3)

Answer:

8 plates

Step-by-step explanation:

The reason for this is because 15 and 9 are both divisible by 3. 15 divided by 3 is 5 and 9 divided by 3 is 3. 5+3= 8. Therefore, you will need 8 plates.

To solve the separable differential equation dy/dx = 8y, we must first separate the variables, resulting in two separate integrals. We will have dy/y = 8 dx. Now, we need to find the integrals:

1) Integral of dy/y:
∫(1/y) dy

2) Integral of 8 dx:
∫8 dx

Next, we solve the integrals:

1) ∫(1/y) dy = ln|y| + C₁
2) ∫8 dx = 8x + C₂

Now, we combine these results to find the general solution:
ln|y| = 8x + C, where C = C₂ - C₁.

To solve for y, we take the exponent of both sides:
y = e^(8x + C) = e^(8x)e^C. We can write e^C as a new constant k, so y = ke^(8x).

Now, we need to find the particular solution satisfying the initial condition y(0) = -2. To do this, plug in the values into the equation:

-2 = k * e^(8 * 0)
-2 = k * e^0
-2 = k * 1
k = -2

So the particular solution satisfying the initial condition is y(x) = -2e^(8x).

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Venn diagram:

The percentage of students that studied mathematics = 25%
The percentage of students that studied electronics = 20%
The percentage of students that studied Communications = 55%
The percentage of students that studied both electronics and Communications subjects = 10%

P(studied Communications or electronics or both subjects)
= P(studied Communications) + P(studied electronics) - P(studied both electronics and Communications subjects)
= 55% + 20% - 10%
= 65%

Therefore, the probability that a student studied Communications or electronics or both subjects is 65%.

P(studied mathematics and Communications subjects)
= P(studied mathematics) × P(studied Communications)
= 25% × 55%
= 13.75%

Therefore, the probability that a student studied mathematics and Communications subjects is 13.75%.

Drawing a Venn diagram, we have 25% studying Mathematics (M), 20% studying Electronics (E), and 55% studying Communications (C).10% studied both Electronics and Communications.

Therefore, the percentages become as follows: M = 25% - 10% = 15% E = 20% - 10% = 10% C = 55%.

Part 2 - To obtain the probability that a student studied Communications or Electronics or both subjects

P(Communication or Electronics) = P(Communication) + P(Electronics) - P(Communication and Electronics) = 55% + 20% - 10% = 65%.

The probability that a student studied Communications or Electronics or both subjects is 65%.

Part 3 -To obtain the probability that a student studied Mathematics and Communications subjects,

P(Mathematics and Communications) = P(Mathematics) * P(Communications) = 25% * 55% = 13.75%.

The probability that a student studied Mathematics and Communications subjects is 13.75%.

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Answer:

2,628,000 people per year.

Step-by-step explanation:

1 person every 12 seconds. There are 60 seconds in 1 minute. So, there are 60 / 12 = 5 people every minute.

There are 60 minutes in an hour. 5 * 60 = 300 people per hour.

There are 24 hours in a day. 24 * 300 = 7,200 people per day.

There are 365 days per year. 7,200 * 365 = 2,628,000 people per year.

Hope this helps!

According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same. The formula for this property can be expressed in real numbers a, b and c. If a × c = b × c.

Property of Equality:

The equivalence property describes the relationship between two equal quantities. If you apply a math operation to one side of the equation, you must also apply it to the other side of the equation to maintain balance.

That is, a property that does not change the truth value of an equation or does not affect the equivalence of two or more quantities is called an equality property. These equality properties help solve various algebraic equations and define equivalence or equilibrium relationships.

Multiplicative Property of Equality:

According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same.

The formula for this property can be expressed as for the real numbers a, b, and c.

If a × b, then, a × c = b × c.

In algebra, the multiplicative property of an equation helps extract unknown terms from an equation. Because multiplication and division are opposites of each other.

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(a) The generating functions together r times:\(\(f(x) = (1 + x + x^2 + x^3 + x^4 + x^5)^5\)\)

(b) \(\(f(x) = (x^3 + x^4 + x^5 + x^6)^4\)\)

(c) \(\(f(x) = (\frac{x}{1-x})^{7r}\)\)

(d) \(\(f(x) = (1 + x + x^2 + x^3 + x^4 + x^5)^3\)\)

(a) To build a generating function for selecting r items from five different boxes with at most five objects in each box, we can consider each box as a separate generating function and multiply them together.

The generating function for selecting objects from the first box is:

\(\(1 + x + x^2 + x^3 + x^4 + x^5\)\)

Similarly, for the second, third, fourth, and fifth boxes, the generating functions are the same:

\(\(1 + x + x^2 + x^3 + x^4 + x^5\)\)

To select r items, we need to choose a certain number of items from each box.

Therefore, we multiply the generating functions together r times:

\(\(f(x) = (1 + x + x^2 + x^3 + x^4 + x^5)^5\)\)

(b) To build a generating function for selecting r items from four different boxes with between three and six objects in each box, we need to consider each box individually.

The generating function for selecting objects from the first box with three to six objects is:

\(\(x^3 + x^4 + x^5 + x^6\)\)

Similarly, for the second, third, and fourth boxes, the generating functions are the same:

\(\(x^3 + x^4 + x^5 + x^6\)\)

To select r items, we multiply the generating functions together r times:

\(\(f(x) = (x^3 + x^4 + x^5 + x^6)^4\)\)

(c) To build a generating function for selecting r items from seven different boxes with at least one object in each box, we need to subtract the case where no items are selected from the total possibilities.

The generating function for selecting objects from each box with at least one object is:

\(\(x + x^2 + x^3 + \ldots = \frac{x}{1-x}\)\)

Since we have seven boxes, the generating function for selecting from all seven boxes with at least one object is:

\(\((\frac{x}{1-x})^7\)\)

To select r items, we multiply the generating function by itself r times:

\(\(f(x) = (\frac{x}{1-x})^{7r}\)\)

(d) To build a generating function for selecting r items from three different boxes with at most five objects in the first box, we can consider each box separately.

The generating function for selecting objects from the first box with at most five objects is:

\(\(1 + x + x^2 + x^3 + x^4 + x^5\)\)

For the second and third boxes, the generating functions are the same:

\(\(1 + x + x^2 + x^3 + x^4 + x^5\)\)

To select r items, we multiply the generating functions together r times:

\(\(f(x) = (1 + x + x^2 + x^3 + x^4 + x^5)^3\)\)

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Answer:

it describes the proportion of individuals in a sample with a certain characteristic or trait

Step-by-step explanation:

to find sampling proportion, u have to divide the number of people or items who have the characteristic of interest by the total number of people/items in the sample.

It describes the percentage of people in a sample who possess a particular quality or attribute.

What is a sampling proportion?

The sample proportion is a random variable that can't be predicted with certainty because it fluctuates from sample to sample.

Formula to calculate sampling proportion

p′ = x / n

where,

x: the number of successes

n: the sample size

p′:  sample proportion

Hence, it describes the percentage of people in a sample who possess a particular quality or attribute.

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Answer:

591.88

Step-by-step explanation:

C = 2πr

2π(94.2)

591.8760559

round to the nearest ones, tenths, or hundredths (depends on your question)

i did hundredth↓

591.88

The statistical procedure used to describe the strength and direction of the linear relationship between two factors is called correlation analysis.

Correlation analysis is a statistical technique that examines the relationship between two variables to determine the strength and direction of their association. It focuses specifically on the linear relationship between the variables, which means it assumes that the relationship can be represented by a straight line.

The result of a correlation analysis is often expressed as a correlation coefficient, which measures the degree of association between the variables. The correlation coefficient ranges from -1 to 1, where:

A correlation coefficient of -1 indicates a perfect negative correlation, meaning that as one variable increases, the other variable decreases in a consistent manner.

A correlation coefficient of 1 indicates a perfect positive correlation, meaning that as one variable increases, the other variable also increases in a consistent manner.

A correlation coefficient close to 0 indicates a weak or no linear correlation between the variables.

Correlation analysis helps to understand the relationship between variables and can provide insights into patterns, trends, and dependencies in the data. However, it is important to note that correlation does not imply causation, meaning that a strong correlation between two variables does not necessarily imply that one variable causes the other to change.

In addition to determining the correlation coefficient, correlation analysis can also involve generating a scatter plot to visualize the relationship between the variables and conducting hypothesis tests to assess the statistical significance of the correlation.

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Let V be the volume of the tank. The inlet pipe fills the tank at a rate of

V / (5 hours) = 0.2V / hour

and the outlet pipe drains it at a rate of

V / (8 hours) = 0.125V / hour

With both valves open, the net rate of water entering the tank is

(0.2V - 0.125V ) / hour = 0.075V / hour

If t is the time it takes for the tank to be full, then

(0.075V ) / hour • t = V

Solve for t :

t = V / ((0.075V ) / hour)

t = 1/0.075 hour

t ≈ 13.333 hours

Based οn the infοrmatiοn prοvided, we can see that the prοfit earned (p) is prοpοrtiοnal tο the number οf cοοkies sοld (c).

We can write the equatiοn as:

p = 0.25c

This equatiοn means that fοr every cοοkie sοld, the prοfit earned is $0.25. We can alsο write this equatiοn in slοpe-intercept fοrm as:

y = mx + b

where y represents prοfit earned (p), x represents the number οf cοοkies sοld (c), m represents the slοpe (0.25 in this case), and b represents the y-intercept (the value οf y when x is 0, which is 0 in this case).

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Step-by-step explanation:

the distance between 2 points is the Hypotenuse of a right-angled triangle with the legs being the x coordinate difference and the y coordinate difference.

so, Pythagoras applies.

c² = a² + b²

distance² = (2 - -7)² + (11 - 9)² = 9² + 2² = 81 + 4 = 85

distance = sqrt(85) = 9.219544457... ≈ 9.2

The distance between the points A(2,11) and B(−7,9) is d = √85.

There are two points (a, b) and (c, d) then the distance between two points is

d= √(c -a)² + (d-b)²

We have the points A(2, 11) and B(-7, 9).

Using the Distance Formula

d = √(-7-2)² + (9-11)²

d= √(-9)² + (-2)²

d= √81 + 4

d = √85

Thus, the distance between points is √85 unit.

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Answer:

usage patterns are a variable used in market segmentation.

Step-by-step explanation:

Usage patterns are a variable used in behavioral segmentation.

Behavioral segmentation is a marketing strategy that divides a market into different segments based on consumer behavior, specifically their patterns of product usage, buying habits, and decision-making processes. This segmentation approach recognizes that customers with similar behavioral characteristics are likely to exhibit similar preferences and respond in a similar manner to marketing initiatives.

Usage patterns, as a variable, help marketers understand and classify customers based on how they interact with a product or service. This can include factors such as the frequency of product usage, the amount of product used, the timing of purchases, brand loyalty, product benefits sought, and other behavioral indicators.

By analyzing usage patterns, marketers can identify distinct segments within their target market and tailor marketing strategies to meet the unique needs and preferences of each segment. This enables companies to develop more targeted marketing campaigns, optimize product offerings, improve customer satisfaction, and drive customer loyalty.

Overall, behavioral segmentation, including the consideration of usage patterns, allows companies to better understand and connect with their customers by aligning their marketing efforts with specific behaviors and motivations.

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Answer: is 72 people to 27 animals

Step-by-step explanation:

I can find the ratio by cross multiplying

40/15 to x/27

15x = 1080

x = 72

you can also divide 40/15 for a ratio percent = 8/3

multiply 27 animals x 8/3 = 72

two ways to solve for ratios

Given:

In year 2010

Number of chefs/head cooks = 100600

Number of full service manager = 320800

In year 2020

Number of chefs/head cooks = 98100

Number of full service manager = 318000

Required:

Which job is facing the largest percentage decrease

Explanation:

The percentage decrease in number of chefs is given by

Substituting the values we get

The percentage decrease in number of service manager is given by

Substituting the values we get

Final answer:

The chef's job is facing the largest percentage decrease by 2.48%