please someone do number 9

Answer:

x= -5

Step-by-step explanation:

-4 (x +3) = 8

-4x - 12 = 8

-4x = 20

x= -5

The type of sampling used in this scenario is a multistage cluster sampling. In this type the population is divided into clusters or groups.

In multistage cluster sampling, the population is divided into clusters or groups, and a sample is taken from each cluster. In this case, the clusters are the states, and a simple random sample of four states is selected.

Within each selected state, another level of sampling occurs where two colleges or universities are randomly selected from each state. This forms the second stage of sampling.

Finally, from each of the eight selected colleges or universities, a simple random sample of 20 undergraduates is taken. This forms the third stage of sampling.

By combining these stages, a final sample of 160 undergraduates is obtained.

Multistage cluster sampling is commonly used when the population is large and geographically dispersed. It offers a practical approach to obtain a representative sample by selecting clusters at different stages, which helps to reduce time, cost, and logistical challenges.

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p = The doctor prescribed medicine

q = The patient has recovered

The doctor did not prescribe medicine:

The patient recovered:

The truth table is given by:

Answer:

A

Answer:

C) 84 mm squared

Step-by-step explanation:

The formula for finding area of a triangle is 1/2 times base times height, so substitute and solve for the answer

1/2 times 8 times 21

4 times 21

84

To solve the exponential equation 23^x = 6, take the logarithm base 23 of both sides to get x = log base 23 of 6.

Angie, to solve the exponential equation 23^x = 6, you need to find the value of x such that when you raise 23 to the power of x, you get 6. To do this, you can use logarithms.

In particular, you can use the logarithmic function log_23. The log_23 of a number y is the exponent x such that 23^x = y. So, to solve the equation 23^x = 6, you can take the log_23 of both sides:

log_23(23^x) = log_23(6)

x = log_23(6)

The right side of this equation can be evaluated using a calculator or logarithmic tables. Once you have the value of x, you will have solved the exponential equation.

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The volume of a cone with 4 faces, which is a square with side length a and height h, can be calculated using the formula V = (π * a^2 * h) / 12.

To find the volume of a cone with 4 faces, which is essentially a square with side length a and height h, we can follow these steps:

1. The volume of a cone is given by the formula V = (1/3) * π * r^2 * h, where r is the radius of the circular base and h is the height.

2. In this case, the base of the cone is a square with side length a. Since all sides of a square are equal, the radius of the circular base is half of the side length, which is a/2.

3. Therefore, we can substitute the values in the formula: V = (1/3) * π * (a/2)^2 * h.

4. Simplifying further, we get V = (1/3) * π * (a^2/4) * h.

5. Multiplying the terms, we have V = (π * a^2 * h) / 12.

In step 1, we used the formula for the volume of a cone.

In step 2, we determined the radius of the circular base of the cone.

In step 3, we substituted the values in the formula.

In step 4, we simplified the expression.

In step 5, we multiplied the terms to obtain the final volume formula.

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By using the Lagrange multipliers, the two points on the cone that is closest to (14, 8, 0) are:

(7, 4, √65) and (7, 4, -√65)

We want to minimize the distance between the point (14, 8, 0) and the points on the cone z^2 = x^2 + y^2. The distance squared between two points (x_1, y_1, z_1) and (x_2, y_2, z_2) is given by:

d^2 = (x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2

In our case, we want to minimize the distance squared between (14, 8, 0) and a point (x, y, z) on the cone z^2 = x^2 + y^2:

d^2 = (x - 14)^2 + (y - 8)^2 + z^2

Subject to the constraint z^2 = x^2 + y^2. We can use Lagrange multipliers to solve this constrained optimization problem. Let L be the Lagrangian:

L = (x - 14)^2 + (y - 8)^2 + z^2 - λ(z^2 - x^2 - y^2)

Taking the partial derivatives of L with respect to x, y, z, and λ, and setting them to zero, we get:

2(x - 14) - 2λx = 0.....(1)

2(y - 8) - 2λy = 0.....(2)

2z - 2λz = 0.....(3)

z^2 - x^2 - y^2 = 0.....(4)

Simplifying the third equation, we get z(1 - λ) = 0. Since we want to find points where z is not zero, we must have λ = 1. Then, from the first two equations, we get x = 7 and y = 4. Substituting these values into the fourth equation, we get:

z^2 = x^2 + y^2 = 65

So the two points on the cone that is closest to (14, 8, 0) by using  Lagrange multipliers are:

(7, 4, √65) and (7, 4, -√65)

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Answer:

(5,-3)

Step-by-step explanation:

If point A is 6.5 on the x axis away from point M, then point B must be the same distance away. -1.5+6.5=5. If point A is 4 on the y axis away from point M then point B must also be the same distance away. 1-4=-3.

So the answer must be (5,-3)

The inverse of (- 2 . 3 ) is (1 / - 2.3 ).

In mathematics, the inverse of a number refers to the concept of taking its reciprocal; for instance (2 . w ) results in its reciprocal as ( 1/ 2. w ). When a number is multiplied by its inverse the result yields 1, meaning that the product of the number and its inverse, i.e. reciprocal always equals 1.

As per the given number which is (-2.3) and its inverse is ( 1 / -2.3 ), when these two numbers are multiplied together they result in 1. Such as:

(-2.3) x ( 1 / -2.3 ) = 1

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Answer:

\( z = -1.23\)

And we can calculate the p value with the following probability taking in count the alternative hypothesis:

\( p_v = P(z<-1.23) = 0.1093\)

And for this case using a significance level of \(\alpha=0.05 ,0.1\) we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough  evidence to conclude that the true proportion is less than 0.02

Step-by-step explanation:

For this case we want to test the following system of hypothesis:

Null hypothesis: \(p =0.02\)

Alternative hypothesis: \( p < 0.02\)

The statistic for this case is given by:

\(z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}\) (1)  

And for this case we know that the statistic is given by:

\( z = -1.23\)

And we can calculate the p value with the following probability taking in count the alternative hypothesis:

\( p_v = P(z<-1.23) = 0.1093\)

And for this case using a significance level of \(\alpha=0.05 ,0.1\) we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough  evidence to conclude that the true proportion is less than 0.02

Answer:

z = 1

Step-by-step explanation:

-z + 7 = 6

    -7    -7

             -1    

So, basically add -7 on both side (or the kcf method) which cancels out on on the right side but makes -1 on then notice how the -z/-1 = a positive because a negative divided by a negative is a positive so its positive one.

How to check?

just replace -z with -1 and put -1 + 7 = 6 which makes this answer correct.

Answer:

.61

Step-by-step explanation:

it's .51

I hoped that helped

Answer:

Step-by-step explanation:

the figure is formed by a rectangle and two isosceles triangles, the measures of the rectangle are: 12cm and 5cm, the base of the triangles is 12cm and the height is (13 - 5) : 2 = 4cm

Rectangle Area = b × h

12 × 5 = 60cm²

Triangle Area = 1/2 b × h

1/2 12 × 5 = 30cm²

just sum the single Areas

60 + 30 + 30 =

120cm²

Answer:

just m

Step-by-step explanation:

Answer:

Answer:answer is 2xsquare × 3xsquare

Step-by-step explanation:

when we multiply both so the answer is 6xsquare y square  More

Answer:

  6x²y³

Step-by-step explanation:

An exponent is used to signify repeated multiplication. Numerical values can be multiplied in the usual way.

__

  (2)(x)(x)(3)(y)(y)(y)

has the factor x repeated 2 times, and the factor y repeated 3 times. The product of 2 and 3 is 6. The expression can be simplified to ...

  = 6x²y³

Rounding to the nearest whole number, the minimum score required for the scholarship is 633.  Therefore, students who score 633 or higher on the SAT Writing test would be eligible for the scholarship at this university.

To find the minimum score required for the scholarship, we'll use the given information about the SAT writing scores being normally distributed with a mean of 488 and a standard deviation of 113. We need to determine the score that represents the cutoff for the top 10% of students.

Step 1: Find the z-score corresponding to the top 10%.
To do this, use a z-table or an online calculator to find the z-score that corresponds to a cumulative probability of 0.90 (since 100% - 10% = 90%). The z-score is approximately 1.28.

Step 2: Use the z-score formula to find the minimum score.
The formula for finding a value (X) in a normal distribution is:
X = μ + Zσ

Where:
μ (mean) = 488
Z (z-score) = 1.28
σ (standard deviation) = 113

Step 3: Plug in the values and calculate the minimum score.
X = 488 + (1.28 * 113)
X = 488 + 144.64
X ≈ 632.64

Round the result to the nearest whole number:
X ≈ 633

So, the minimum score required for the scholarship is 633.

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Answer:

1.102 x 104

Step-by-step explanation:

Answer:

xy*(2x^2 + 7x^2 - y^2)

Step-by-step explanation:

You can get xy out of the expression since all have xy

The code calculates the total cost for electricity consumption based on the given conditions and adds the basic service fee of $5. It then rounds the total cost to two decimal places and displays the output.

# defining function to calculate total cost

def total_cost(units):

   if units <= 500:

       return units * 0.02

   elif units <= 1000:

       return (500 * 0.02) + ((units - 500) * 0.05)

   else:

       return (500 * 0.02) + (500 * 0.05) + ((units - 1000) * 0.10)

# Driver Code

consumptions = [200, 500, 700, 1000, 1500]

for i in consumptions:

   total = total_cost(i)

   print("Total cost of Electricity for", i, "units is", round(total + 5, 2))

Output:

Total cost of Electricity for 200 units is 9.0

Total cost of Electricity for 500 units is 15.0

Total cost of Electricity for 700 units is 25.0

Total cost of Electricity for 1000 units is 40.0

Total cost of Electricity for 1500 units is 90.0

The code calculates the total cost for electricity consumption based on the given conditions and adds the basic service fee of $5. It then rounds the total cost to two decimal places and displays the output.

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This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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To find the union and intersection of the intervals I₁ = (-2, 2] and I₂ = [1, 5), let’s consider the overlapping values and the combined range.

The union of two intervals includes all the values that belong to either interval. Taking the union of I₁ and I₂, we have:

I₁ U I₂ = (-2, 2] U [1, 5)

To find the union, we combine the intervals while considering their overlapping points:

I₁ U I₂ = (-2, 2] U [1, 5)
= (-2, 2] U [1, 5)

So the union of the intervals I₁ and I₂ is (-2, 2] U [1, 5).

Now let’s find the intersection of the intervals I₁ and I₂, which includes the values that are common to both intervals:

I₁ ∩ I₂ = (-2, 2] ∩ [1, 5)

To find the intersection, we consider the overlapping range between the two intervals:

I₁ ∩ I₂ = [1, 2]

Therefore, the intersection of the intervals I₁ and I₂ is [1, 2].


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Answer:

3 ≤11 ≤ 11

Step-by-step explanation:

3x-4 = 2x +1

3x-5 = 2x

x-5 = 0

x= 5

3 ≤11 ≤ 11

Answer:

20 x 5 x 10 = 1,000

4 x 5 x 1 = 20

1,000 divided by 20 = 50

1. Scout's retrospective point of view is evident in her voice through the use of mature language, insights and reflections.

Words or phrases that indicate Scout is no longer a child include is Sophisticated vocabulary, Reflective and introspective language and Historical and cultural references.

2. Perspective shifts in "To Kill a Mockingbird."

The novel is rich in its exploration of different viewpoints and the growth of its young narrator, Scout.

Scout's retrospective point of view is evident in her voice through the use of mature language, insights and reflections.

As a child narrator looking back on past events, Scout's language and vocabulary demonstrate her growth and development.

She expresses thoughts and emotions with a deeper understanding and maturity that goes beyond what would be expected from a young child.

Additionally, Scout's observations and commentary on social issues, prejudice, and morality reflect a more mature perspective.

Her narration reveals a level of wisdom and introspection that indicates her transformation from a child to a more thoughtful adult.

Scout uses words and phrases that are more advanced than what one would typically expect from a young child.

Scout shares her reflections and analyzes events with insight and understanding, indicating a more mature perspective.

Scout makes references to events, people, or concepts that would require a broader knowledge and understanding beyond her childhood years.

Perspective shifts in the excerpts can be seen in various instances throughout the novel.

Here are a few examples:

The beginning and ending of the novel:

The story begins with Scout as an adult looking back on her childhood, and it ends with her retrospective voice as well.

These shifts in perspective bookend the narrative and provide a framing device for the entire story.

Scout's growing awareness:

As the story progresses, Scout's perspective shifts and evolves as she becomes more aware of the social injustices and racial prejudice in her community.

This shift in perspective is evident in her understanding and analysis of events and her ability to question the norms and beliefs of the society around her.

Atticus's influence:

Scout's perspective shifts as she learns from her father, Atticus, and his moral teachings.

She begins to see the world through his eyes and adopts his principles of justice and empathy, which alters her perspective on the actions and behaviors of others.

The novel is rich in its exploration of different viewpoints and the growth of its young narrator, Scout.

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The points at which the direction of the fastest change of a function can be found are A. Critical points, as they are the points where the derivative of a function is either zero or undefined.

At critical points, the slope of the function is changing, indicating a potential change in the direction of the fastest change. Critical points can correspond to local minimum points, local maximum points, or points of inflection, depending on the behavior of the function around those points.

To find the critical points of a function, we need to take the derivative of the function and set it equal to zero or find points where the derivative is undefined. By solving this equation or finding points of undefinedness, we can determine the x-values that correspond to the critical points.

It's important to note that while critical points indicate a change in the direction of fastest change, they do not necessarily guarantee the presence of minimum or maximum points. Additional analysis is required to determine whether a critical point corresponds to a minimum point, maximum point, or neither.

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Sea level starts at 0m

Since we start at 0 and it is 20m above sea level, we can add.

0 + 20 = 20m

Therefore, the elevation is 20m

Best of Luck!

Answer:

2550

Step-by-step explanation:

2 + 4 + 6 + ……… + 98 + 100

= (2×1) +(2×2) + (2×3) + ……… + (2×50)

= 2 × (1 + 2 + 3 + ………. + 50)

The sum (S) of n natural numbers is given by -

S = (n × (n + 1) )/2

Therefore,

2 × (1 + 2 + 3 + ……… + 50)

= 2 × ((50 × 51)/2)

= 2 × (2550/2)

= 2 × 1275

= 2550

Hope this helps!

Answer:

1,100,000 milimeters

Step-by-step explanation:

Answer:

104 inches

Step-by-step explanation:

To solve this, we use a circle theorem. The circle theorem to use is that a line from the center of a circle is perpendicular to a chord and it divides the chord into exactly two equal parts.

So therefore, we shall be having a right angled triangle if we join the edge of the chord to the center of the circle.

So in this circle, we have the distance from the center of the circle to the chord, the radius of the circle and half the length of the chord.

The length of the radius serves as the hypotenuse.

Let’s call the radius r.

The other two sides measure; 40 and 96 respectively.

Mathematically, using Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the squares of the two other sides;

r^2 = 40^2 + 96^2

r^2 = 10,816

r = √(10,816)

r = 104 inches

The value that will always be within the upper and lower limits of a confidence interval for the question is the sample mean.

To explain this step-by-step:

First, you collect a sample from the population you want to study.

Next, you calculate the sample mean, which is the average of all the data points in your sample.

Then, you determine the standard deviation of the sample, which measures the dispersion of the data points around the sample mean.

After that, you choose a desired level of confidence (e.g., 95%) to estimate the range within which the true population mean is likely to fall.

Finally, you calculate the confidence interval using the sample mean, the standard deviation of the sample, and the sample size. The confidence interval provides a range of values within which the population mean is likely to be found with a certain level of confidence.

Since the confidence interval is constructed around the sample mean, the sample mean will always be within the upper and lower limits of the confidence interval. In contrast, the sample size, standard deviation of the sample, and population mean are not guaranteed to be within the confidence interval.

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