Select the scenario which is an example of simple random sampling.
a.An international airline wants to study the demand for its services. They group their destinations into regions, randomly select 20
of these regions, and study every destination in each of the selected regions.
b.A newspaper article focuses on local public health initiatives. At the end of the article, the author asks readers to send in their opinion on smoking in public areas.
c.A supermarket wants to study the buying habits of its customers. They choose every 20th customer entering the supermarket to fill out the survey.
d.College administration wants to conduct a survey to determine the demand for an insurance program at the college. Students are selected randomly from the college and mailed a questionnaire.

Answer:

  A.  f(0) = 4

  B.  f(6) = 8

Step-by-step explanation:

When evaluating a piecewise function, the fist step is to determine the applicable domain. Then the function defined for that domain is the one that is used for the evaluation.

x = 0 is in the domain x < 5, so the applicable function is f(x) = x+4.

  f(0) = 0 +4 = 4

__

x = 6 is in the domain 5 ≤ x < 7, so the applicable function is f(x) = 8.

  f(6) = 8

On solving Equation 1 the value of x is 9 so, the letter will be B

On solving Equation 2 the value of x is 5.3 so, the letter will be F

On solving Equation 3 the value of x is 5 so, the letter will be I

On solving Equation 4 the value of x is 3.5 so, the letter will be J

On solving Equation 5 the value of x is 3.5 so, the letter will be M

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Equation 1:

7x=63

x=\(\frac{63}{7}\)

x=9(B)

Equation 2:

x- \(\frac{9}{4} = \frac{25}{8}\)

x= \(\frac{25}{8}+\frac{9}{4} =\frac{25+18}{8}\)

x=\(\frac{43}{8}\)

x= 5.3(F)

Equation 3:

\(\frac{x}{4} = 2.25\)

x= 5.00(I)

Equation 4:

x- 1.58= 1.92

x= 1.92+1.58

x= 3.5(J)

Equation 5:

\(\frac{13}{3}+ x=\frac{47}{6}\)

x= \(\frac{47}{6}- \frac{13}{3} =\frac{47-26}{6}\)

x= \(\frac{21}{6}\)

x= 3.5(M)

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There is a lower limit but no upper limit for a random variable that follows the exponential probability distribution.

We know that, an exponential distribution is a type of continuous distributions.

This probability distribution times the occurrence of events.

In exponential probability distribution, events happen continuously and independently at a constant average rate.

The continuous random variable, say X is said to have an exponential distribution, if it has the following probability density function:

\(f_X(x)=\left \{ {{\lambda e^{-\lambda x~~~x > 0}} \atop {0~~~~~~~x\leq 0}} \right.\)

The exponential distribution is memoryless.

We know that, for exponential the lower limit is 0, but the upper limit is infinity, meaning there is no upper limit.

Therefore, There is a lower limit but no upper limit for a random variable that follows the exponential probability distribution.

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Answer:

192

Step-by-step explanation:

8 x 24 = 192

1.For the first one on the horizontal line on the left put the dot on -4,3

Then right by the dot put +2/3x

For the second one, put the dot in the center and put +2x.

Reasoning for the second one. Since they are both on the y spectrum, we can do an algebra equation for it.

So, we would have 2x +2 - 2. This would give us 2x. The way we to get the center is because 0 is right there, and x is an unknown number so we can't place it anywhere. That is why we put +2x.

Mean is used to measure the center of a set of values. It is good for summarizing values which are generally pretty similar to each other.

Mean is more usually referred to as the average. It is calculated by adding up all of the values and dividing by the total number of values. It is a good way for summarizing the center of values which are commonly very similar to each other.

The mean is the most often used measure of central tendency since it uses all values in the data set to give us an average. For data from skewed distributions, the median is better than the mean because it is not influenced by large values.

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Although part of your question is missing, you might be referring to this full question: _________ is used to measure the center of a set of values. It is good for summarizing values that are generally pretty similar to each other.

Answer:

A. {-9, -4, -1}

Step-by-step explanation:

Every number on the f(x) side is the domain which is the input numbers.

If you have any additional questions feel free to ask me or your teacher so you can really master what you're learning. :)

Answer:

the last one

Step-by-step explanation:

domain is on the x axis

Answer:

y=−3−2x

Step-by-step explanation:

y=−2x−3

Answer:

The answer for both is y=-2x-3

Step-by-step explanation:

I hope this helps!

Answer:

(-5,-2)

(-4,-3)

(-6,-1)

Step-by-step explanation:

-5(x)-2(y)=-7

-4(x)-3(y)=-7

-6(x)-1(y)=-7

Answer:

The height would be \(5x^{3}y^{3}\)

Step-by-step explanation:

The formula to find the area of a parallelogram is area = base * height. Using this information, you plug in what is given to you.

\(15x^{7}y^{4} = 3x^{4}y * h\)

Solve for h:
\(h = \frac{15x^{7}y^{4}}{3x^{4}y}\)
\(h = 5x^{3}y^{3}\)

Answer:

-10=n

Step-by-step explanation: -10+8=-2

-n-8=

thats the answer

Answer:

The height is 16 cm

Step-by-step explanation:

It's just v/b

720/45=16

The height is 16 cm

Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

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The true statement about the proportions of the sides is GJ/MN = 5/2

The complete question is attached

Similar triangles have corresponding side lengths that are proportional in length.

Similar triangles have same shape but are of different sizes.

Thus, given that both triangles are similar and have a scale of 7 : 4,

therefore the true statement about the proportions of the sides is GJ/MN = 5/2

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The production level that minimizes the average cost per unit is x = 6.

This is a fourth-degree polynomial, which can be difficult to solve algebraically. However, we can use numerical methods (such as a graphing calculator or software) to find the value of y that minimizes the polynomial. We find that y ≈ 1.08025, which implies that x ≈ 1.1669. Therefore, the production level that minimizes the average cost per unit is x = 6 (rounded to the nearest integer). This can be verified by checking the second derivative of AC(x) to ensure that it is positive at x = 6, indicating a minimum point.

We first need to find the average cost per unit. This is given by the total cost divided by the number of units produced:
AC(x) = c(x) / x
Substituting c(x) into this equation, we get:
AC(x) = (5x - 8x - 2√x) / x
Simplifying this expression, we get:
AC(x) = (5 - 8/x - 2/x√x)
Now, we need to find the value of x that minimizes AC(x). To do this, we can take the derivative of AC(x) with respect to x and set it equal to zero:
dAC(x) / dx = -5/x^2 + 8/x^3 + 1/(x√x) = 0
Multiplying both sides by x^3√x, we get:
-5x√x + 8x^2 + √x = 0
Squaring both sides of this equation, we get:
25x^3 - 64x^4 + 16x = 0
Simplifying this expression, we get:
x(25 - 64x + 16√x) = 0
Since x cannot be zero, we must solve for the other factor:
25 - 64x + 16√x = 0
Squaring both sides of this equation, we get:
625 - 320x + 256x - 512√x = 0
Simplifying this expression, we get:
256x - 320x + 512√x = 625
Simplifying further, we get:
16x - 20x + 32√x = 25
Dividing both sides by 4, we get:
4x - 5x + 8√x = 25/
Substituting x = y^2, we get:
4y^2 - 5y^4 + 8y = 25/4
Multiplying both sides by 4, we get:
16y^2 - 20y^4 + 32y = 25
Dividing both sides by 5, we get:
3.2y^2 - 4y^4 + 6.4y = 5

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Answer:

The answer is

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

\(y - y_1 = m(x - x_1)\)

From the question we have

\(y - 8 = 0(x - 4) \\ y - 8 = 0 \\\)

We have the final answer as

Hope this helps you

Answer:

E. n=4

Step-by-step explanation:

"compounded quarterly" meaning 4.

Option E is correct. The amount Mayra deposited into the account quarterly is $1,146.35 where the value of n is 4

In order to get the amount compounded quarterly, we will use the compounded interest formula as shown:

A = P(1+r/n)^nt where:

A is the amount after 5 years = $6000

r is the rate (in %) = 6% = 0.06

n is the compounding time =  1/4 (quarterly)

t is the time taken (in years) = 5 years

Required

Amount invested quarterly.

First, we need to get the amount initially invested

Substitute the given values into the formula;

6000 = P(1+0.06(4))^{5/4)}

6000 = P(1+0.24)^1.25

6000 = P (1.24)^1.25

6000 = 1.3085P

P = 6000/1.3085

P = $4,585.40

The amount initially deposited will be $4,585.40

The amount deposited quarterly = P/n where n = 4

Amount deposited quarterly = $4,585.40/4

Amount deposited quarterly = $1,146.35

Therefore the amount Mayra deposited into the account quarterly is $1,146.35 where the value of n is 4.

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Answer:  3/ 4

Step-by-step explanation:

The ratio of the height of the tree to the length of the shadow of the tree

is given by the ratio of the height of the frame to its shadow.

Response:

The given information are;

The distance from the tree to the other side of the chasm = 18 + 36 = 54

Length of the shadow cast by the tree = 54 feet

Height of the frame = 55-inch

Length of the shadow created by the frame = 77 inches

By similar triangles, have;

\(\dfrac{Height \ of \ frame}{Length \ of \ shadow \ created \ by \ frame} = \mathbf{\dfrac{Height \ of \ tree}{Length \ of \ shadow \ created \ by \ tree}}\)

Which gives;

\(\dfrac{55}{77} = \mathbf{\dfrac{Height \ of \ tree}{54}}\)

\(Height \ of \ tree = \dfrac{55}{77} \times {54} \approx \mathbf{39}\)

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The area of the triangle will be equal to 45750 square centimeters.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the triangle in a two-dimensional plane is called the area of the triangle.

Given that:-

A triangle has a base length of 3ac² and a height of 5 centimeters more than the base length. Find the area of the triangle if a = 4 and c=5

Here the base will be calculated as:-

B = 3ac² = 3 x (4) x (5²) = 300

H = 3ac² + 5 = 300  + 5 = 305

The area will be calculated by the formula:-

A = \(\dfrac{1}{2}\) x B x H

A =  \(\dfrac{1}{2}\) x 300 x 305

A = 45750 square centimeter.

Therefore the area of the triangle will be equal to 45750 square centimeters.

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In this case, since we want the sample mean to be within 0.01 of the population mean, the margin of error is 0.01.

To determine the number of grade-point averages needed to have a sample mean within 0.01 of the population mean, we can use the formula for the margin of error. The margin of error is calculated by dividing the standard deviation of the population by the square root of the sample size, multiplied by a constant value.

To find the required sample size, we need to know the standard deviation of the population. However, since it is not provided, we cannot calculate the exact number of grade-point averages needed.
If you have the standard deviation of the population, you can use the following formula to calculate the sample size:
Sample size = (Z * standard deviation) / margin of error

Where Z is the constant value that corresponds to the desired level of confidence. For example, if you want a 95% confidence level, Z would be approximately 1.96.

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For the polygon the individual value of the interior angles.

a) 15 sides is 145°

b) 20 sides is 108°

c) 3 sides is 60°

d) 4 sides is 90°

e) 100 sides is 18°

A regular polygon is one where all sides are the same length and all interior angles are the same. The number of sides of a regular polygon can affect the value of its interior angles.

a) 15 sides: The sum of the interior angles of a regular polygon with 15 sides is equal to 2180 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 2180 / 15 = 145 degrees per angle.

b) 20 sides: The sum of the interior angles of a regular polygon with 20 sides is equal to 2160 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 2160 / 20 = 108 degrees per angle.

c) 3 sides: The sum of the interior angles of a regular polygon with 3 sides is equal to 180 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 180 / 3 = 60 degrees per angle.

d) 4 sides: The sum of the interior angles of a regular polygon with 4 sides is equal to 360 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 360 / 4 = 90 degrees per angle.

e) 100 sides: The sum of the interior angles of a regular polygon with 100 sides is equal to 1800 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 1800 / 100 = 18 degrees per angle.

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Answer:

18 and 3/4 rows of radishes

Step-by-step explanation:

6 + 4 + 7 = 17

3/4 + 3/4 + 1/4 = 7/4

7/4  = 1 3/4

17 + 1 3/4 = 18 3/4

Answer: 18 and 3/4 rows of radishes

Since all the fractions have the same denominator,

you can combine 3/4 + 3/4 + 1/4 together into 1 and 3/4

Adding in the numbers 7 + 4+ 6 and the 1 and 3/4 would amount to 18 and 3/4

The mood of the argument is categorical and the figure is EIO. To determine the mood and figure of the given argument, we'll first identify the premises and conclusion, and then assign the appropriate categorical proposition to each statement.

The argument can be rewritten as:

Premise 1: Some dictators are not warmongers. (Some D are not W)
Premise 2: No dictators are egomaniacs. (No D are E)
Premise 3: Some egomaniacs are warmongers. (Some E are W)
Conclusion: Some dictators are not warmongers. (Some D are not W)

Now, let's assign the categorical propositions to each statement:
Premise 1: I (Some D are not W)
Premise 2: E (No D are E)
Premise 3: I (Some E are W)
Conclusion: O (Some D are not W)

The mood of the argument is IEO.

Next, we'll determine the figure by looking at the placement of the middle term (E) in the premises:
Premise 2: No D are E (subject-middle term)
Premise 3: Some E are W (middle term-predicate)

The figure is 1 because the middle term is the subject of one premise and the predicate of the other premise.

So, the mood and figure of the argument are IEO-1. Therefore, the correct answer is:

IEO - 1

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The statement "Nodal equations I=Ybus ​V are a set of linear equations analogous to y=Ax." is true because In the nodal equations, I and V are also vectors, and Ybus plays the role of the matrix A. The correct answer is option a.

The nodal equations I = Ybus V are a set of linear equations that relate the nodal currents I to the nodal voltages V, where Ybus is the nodal admittance matrix.

This is analogous to the equation y = Ax, where y and x are vectors and A is a matrix. In the nodal equations, I and V are also vectors, and Ybus plays the role of matrix A.

Therefore, the statement "Nodal equations I = Ybus V are a set of linear equations analogous to y = Ax" is true. So option a is correct.

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Answer:

5, -25, 125, -625

Step-by-step explanation:

A geometric sequence is where a number is divided or multiplied by same number continuously

in the third option the number are multiplied by (-5) continuously

Answer:

not sure but -1/8

Step-by-step explanation:

The limit of the given expression as x approaches 1 from the right is 1.8.

To evaluate the limit of the given expression:

\(lim_{x - > 1} + [ln(x ^ 9 - 1) - ln(x ^ 5 - 1)]\)

We can start by directly substituting x = 1 into the expression:

[ln(1⁹ - 1) - ln(1⁵ - 1)]

= [ln(0) - ln(0)]

However, ln(0) is undefined, so this approach doesn't provide a meaningful answer.

To apply L'Hôpital's Rule, we need to rewrite the expression as a fraction and differentiate the numerator and denominator separately. Let's proceed with this approach:

\(lim_{x - > 1}\)+ [ln(x⁹ - 1) - ln(x⁵ - 1)]

= \(lim_{x - > 1}\)+ [ln((x⁹ - 1)/(x⁵ - 1))]

Now, we can differentiate the numerator and denominator with respect to x:

Numerator:

d/dx[(x⁹ - 1)] = 9x⁸

Denominator:

d/dx[(x⁵ - 1)] = 5x⁴

Taking the limit again:

\(lim_{x - > 1}\)+ [9x⁸ / 5x⁴]

= \(lim_{x - > 1}\)+ (9/5) * (x⁸ / x⁴)

= (9/5) * \(lim_{x - > 1}\)+ (x⁸ / x⁴)

Now, we can substitute x = 1 into the expression:

(9/5) * \(lim_{x - > 1}\)+ (1⁸ / 1⁴)

= (9/5) * \(lim_{x - > 1}\)+ 1

= (9/5) * 1

= 9/5

= 1.8

The complete question is:

Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. \(lim_{x - > 1} + [ln(x ^ 9 - 1) - ln(x ^ 5 - 1)]\)

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a. 80% of 90 is the same as of 90 - False

b. 45% of 60 is 27 - True

c. 20% of 90 is the same as as of 90- True

d. 25 is 35% of 80 -False

a. 80% of 90 is not the same as 90. To find 80% of 90, we multiply 90 by 0.8, which gives us 72. Therefore, the statement is false.

b. To find 45% of 60, we multiply 60 by 0.45, which gives us 27. Therefore, the statement is true.

c. 20% of 90 is the same as of 90. To find 20% of 90, we multiply 90 by 0.2, which gives us 18. Therefore, the statement is true.

Lastly, for question d. 25 is not 35% of 80. To find 35% of 80, we multiply 80 by 0.35, which gives us 28. Therefore, the statement is false.

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