To estimate the number of typographical errors in a 65-page manuscript, a systematic sample of pages is selected by first selecting a random number between 1 and 10 and including in the sample that numbered page and every 10th page thereafter. The random number selected was 6. The number of typographical errors on the sample pages were 1, 0, 2, 3, 0, and 1. Assume that no errors on sample pages were missed.

(a) Give an unbiased estimate, under the design used, of the total number of errors in the manuscript. What design was used?

(b) The person doing the survey estimated the total number of errors in the manuscript by 65(1 + 0 + 2 + 3 + 0 + 1)/6 = 75.83. Which estimator was used? Is it unbiased with the design used?

(c) The variance of the estimator was estimated by 65(65 − 6)(1.37)/6, where 1.37 is the sample variance of the six error counts. Is this unbiased for the actual variance of the estimator of the total number of errors? Discuss.

The correct answer is (a). fail to reject the null hypothesis at null= 0.05 and all larger null.

The null hypothesis (H0) in this case is that β1=0, meaning that there is no relationship between the independent and dependent variables in the regression study.

The alternative hypothesis (Ha) is that β1≠0, meaning that there is a relationship between the independent and dependent variables.

The 95% confidence interval for β1 is (-5.65, 2.61). This means that we are 95% confident that the true value of β1 falls within this range. Since the range includes 0, we cannot reject the null hypothesis that β1=0.

Therefore, we fail to reject the null hypothesis at a significance level of 0.05 (null=0.05) and all larger significance levels.

In other words, there is not enough evidence to suggest that there is a relationship between the independent and dependent variables in the regression study, so we cannot reject the null hypothesis.

Hence, fail to reject the null hypothesis at null=0.05 and all larger null is the correct answer, i.e., option (a)

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Answer: m=-14

Step-by-step explanation: Use the slope-intercept form y=mx+b to find the slope m.

Graph down below.

I hope this helps you out. If not, I am so sorry.

Answer:

2571.14 m^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

The diameter is 17 so the radius is 1/2 of the diameter or 17/2 =8.5

V = 4/3 (3.14) (8.5)^3

 = 2571.13666

Rounding to the nearest hundredth

 = 2571.14 m^3

=================================================

Work Shown:

V = (4/3)*pi*r^3

V = (4/3)*3.14*(8.5)^3

V = 2571.13666666667 which is approximate

V = 2571.14

-------------

Notes:

Answer: 75%

Step-by-step explanation:

common sense

Answer:

6g(4g - 3)

Step-by-step explanation:

24g² - 18g

Common factor:

6g

Factored equation:

6g(4g - 3)

Answer: Price of rice per gram =  $ 0.006  per gram or 0.6 cents per gram .

Step-by-step explanation:

Given: David wants to make 10 servings, where each serving has 75 grams of rice.

Total quantity of rice required = 10 x 75 = 750 grams

Overall, David spends 4.50 dollars on rice.

i.e. cost of 750 grams of rice = 4.50 dollars

Price of rice per gram =(cost of 750 grams of rice ) ÷ 750

= (4.50 dollars )  ÷ 750

=  $  0.006  per gram.

Price of rice per gram =  $ 0.006  per gram.

Answer:

0.006

Step-by-step explanation:

ehgfdcgmkmvnnrebsbhbnjrfjgnjkae

Putting it all together, we get:

A:

[-3 0 0]

[ 0 1 0]

[ 0 0 -1]

which is an orthogonal matrix with the first row being a multiple of (3, 3, 0).

An orthogonal matrix is a square matrix whose columns and rows are orthonormal vectors, i.e., each column and row has unit length and is orthogonal to the other columns and rows.

Let's start by finding a vector that is orthogonal to (3, 3, 0). We can take the cross product of (3, 3, 0) and (0, 0, 1) to get such a vector:

(3, 3, 0) x (0, 0, 1) = (3*(-1), 3*(0), 3*(0)) = (-3, 0, 0)

Note that this vector has length 3, so we can divide it by 3 to get a unit vector:

(-3/3, 0/3, 0/3) = (-1, 0, 0)

So, the first row of the orthogonal matrix A can be (-3, 0, 0) or a multiple of it. For simplicity, we'll take it to be (-3, 0, 0).

To find the remaining two rows, we need to find two more orthonormal vectors that are orthogonal to each other and to (-3, 0, 0). One way to do this is to use the Gram-Schmidt process.

Let's start with the vector (0, 1, 0). We subtract its projection onto (-3, 0, 0) to get a vector that is orthogonal to (-3, 0, 0):

v1 = (0, 1, 0) - ((0, 1, 0) dot (-3, 0, 0)) / ||(-3, 0, 0)||^2 * (-3, 0, 0)

= (0, 1, 0) - 0 / 9 * (-3, 0, 0)

= (0, 1, 0)

We can then normalize this vector to get a unit vector:

v1' = (0, 1, 0) / ||(0, 1, 0)|| = (0, 1, 0)

So, the second row of the orthogonal matrix A is (0, 1, 0).

To find the third row, we take the cross product of (-3, 0, 0) and (0, 1, 0) to get a vector that is orthogonal to both:

(-3, 0, 0) x (0, 1, 0) = (0, 0, -3)

We normalize this vector to get a unit vector:

v2' = (0, 0, -3) / ||(0, 0, -3)|| = (0, 0, -1)

So, the third row of the orthogonal matrix A is (0, 0, -1).

Putting it all together, we get:

A:

[-3 0 0]

[ 0 1 0]

[ 0 0 -1]

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Answer:

y = (1/7)x - 3

Step-by-step explanation:

By inspection the y-intercept is found to be (0, -3).  The slope is

       increase in y       - 3 - (-4)

m = --------------------- = --------------- = 1/7

        increase in x          0 - (-7)

Thus, the slope-intercept form of the equation of this line is

y = mx + b, or y = (1/7)x - 3

Answer:

(10,6)

Step-by-step explanation:

of you start at (8,6) X is left and right and Y is up and  down so yoy move left 6 unites meaning your now at (2,6) then you move right so you go back again and now you have (10,6) Hope this helps

The only plausible value of p from the given options is p = 0.75.

We are given a 95% confidence interval for a proportion as 0.74 to 0.83. We need to determine if the given value is a plausible value of p. We can do this by finding the point estimate for the proportion using the midpoint of the confidence interval.

The midpoint of the confidence interval is given as:

Midpoint of confidence interval = (0.74 + 0.83)/2 = 0.785

This is the point estimate for the proportion p. Now we need to check if the given value is plausible or not.(a) p = 0.91 is not plausible because it is greater than the upper limit of the confidence interval.

(b) p = 0.75 is plausible because it is close to the point estimate of 0.785.(c) p = 0.13 is not plausible because it is less than the lower limit of the confidence interval.

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Based on the calculations, we can conclude that Louise is incorrect in assuming that all three expressions are equal to 36. The correct values for the expressions are 324, 234, and 159, respectively.

The given question involves evaluating expressions using the order of operations, also known as PEMDAS. Let's break down each expression step by step:

Expression 1: (5x3+3)2
According to PEMDAS, we first perform the multiplication (5x3), which equals 15.

Then, we add 3 to get 18. Finally, we square the result, which gives us 324. Therefore, (5x3+3)2 equals 324.

Expression 2: (5x3)2+(3)2
Again, applying PEMDAS, we start with the multiplication (5x3), which equals 15. Then, we square this result, which gives us 225.

Next, we square 3, resulting in 9. Finally, we add 225 and 9, which equals 234. Therefore, (5x3)2+(3)2 equals 234.

Expression 3: 25x6+9
Using PEMDAS, we first perform the multiplication (25x6), which equals 150.

Then, we add 9 to get the final result, which is 159. Therefore, 25x6+9 equals 159.

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Answer:

$25

Step-by-step explanation:

money=x

3x-6=69

3x=75

x=25

Hope this helps plz hit the crown :D

Answer:

%25 dollars  saved

Step-by-step explanation:

Answer:

first one is the second choice

question 2 is correct, the answer is the 4th option

Step-by-step explanation:

no other words

The indications of the numbers in the linear equations that produces the number of apples in Annie's basket, n = 22·t + 12, are as follows;

The domain of the function n = 22·t + 12 is R⁺ which is the set of positive real numbers, including zero, [0, ∞)

A linear equation is a equation of the line of a straight line graph. The domain of a function is the set of the input values of the function.

The equation that describes the number of apples in Annie's basket, n = 22·t + 12

The number of minutes Annie spends picking apples = t

The number of apples in Annie's basket = n

The number 22 which is the coefficient of the variable t in the linear equation, which is the slope or the rate of change of the number of apples in Annie's, which indicates the number of apples Annie picks per minute.

The number 12 is the y-intercept of the equation y = 22·t + 12

The y-intercept is the value of the function where t = 0, which is the initial value of the function.

Therefore;

The domain of the function n = 22·t + 12, are the possible values of the independent or input variable, t, which is the set of positive integers including 0

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The regression equation is given by y^ = -389 + 130x^ and the symbol y^ represents the predicted value of price.

It is given to us that -

x = ratings

y = y-intercept

It is also given that the regression equation has -

Slope = 130

y-intercept = -389

We have to find out -

(a) the equation of the regression line

(b) what symbol y represents

We know that, regression analysis is used to predict continuous variables explained by single or multiple independent or explanatory variables.

There are various regression techniques that can be used to create predictive models, including simple regression, multiple regression, and logistic regression.

Here, we have -

Slope = 130

y-intercept = -389

(a) So, the regression equation can be represented as -

y^ = -389 + 130x^

(b) The symbol y^ is the dependent variable in the regression equation. Here, the symbol y^ represents the predicted value of price.

Thus, the regression equation is given by y^ = -389 + 130x^ and the symbol y^ represents the predicted value of price.

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Answer:

yeah it is bcoz if x is -1 then x+1 will be

-1+1 which is 0 and ur whole equation will say

now thats a lot of damage

Answer:

First choice

Step-by-step explanation:

Slope f(x) = 1 while g(x) = 1/3: g(x) is less steep

Clockwise rotation

The research proposal focuses on investigating the determinants of the sustainability of small and medium-sized enterprises (SMEs) in Soweto. The research objectives are to determine the sustainability of SMEs, identify the factors that contribute to their sustainability, and provide practical recommendations to enhance their sustainability.

1.1 The research proposal addresses the "what" by examining the determinants of SME sustainability in Soweto. It focuses on "who" by targeting owner-managers of SMEs in Soweto. The "why" is to understand the factors that influence SME sustainability. The "where" is in Soweto, South Africa, and the "when" refers to the time period during which the research will be conducted.

1.2 The aim of the proposed study is to explore and analyze the determinants of sustainability for small and medium-sized enterprises in Soweto, with the ultimate goal of providing practical recommendations to enhance their sustainability.

1.3 Three research questions for the proposed study could be:

What are the key indicators of sustainability for SMEs in Soweto?

What factors contribute to the sustainability of SMEs in Soweto?

How can owner-managers of SMEs in Soweto improve the sustainability of their businesses?

1.4 An appropriate research design for the proposed study could be a mixed-methods approach. This design would involve both quantitative and qualitative data collection and analysis methods. Quantitative data could be collected through surveys or questionnaires to measure indicators of sustainability and assess the relationship between various factors. Qualitative data could be collected through interviews or focus groups to gain a deeper understanding of the experiences and perspectives of owner-managers. The mixed-methods approach would provide a comprehensive and holistic understanding of the determinants of SME sustainability in Soweto and enable practical recommendations to be formulated based on both quantitative and qualitative insights.

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The x coordinate of the point is -5, the y coordinate point is 7, and the point is located on Quadrant II.

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

\(\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|\)

The coordinate point is:

(-5, 7)

As we know from the definition of the ordered double:

(x, y) represents the ordered double on the coordinate plane:

x = -5

y = 7

x < 0 and y > 0

The point is located on the Quadrant II

Thus, the x coordinate of the point is -5, the y coordinate point is 7, and the point is located on Quadrant II.

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Answer:

-A+B+C-D or B+C-D-A

Step-by-step explanation:

Simplify the expression

Answer:

Step-by-step explanation:

it is 2x

Step-by-step explanation:

Answer:

Is it .04

Step-by-step explanation:

Answer:

5,-3

Step-by-step explanation:

use the formula

substitute the number

and get the answer

Answer:

(x1+x2)/2,(y1+y2)/2

Step-by-step explanation:

use this formula

answer will come for sure

7=x1

-7=y1

3=x2

1=y2

Answer:

the answer would be 6

Step-by-step explanation:

the way i got my answer is by adding on to the negative on the 2,-1 then i add 5 to the over all to get 1 plus 5 and get 6.

The distance between the two points (2,-1) and (2,5) is 6 units.

The distance between two points \((x_1,y_1),(x_2,y_2)\) is,

\(d=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2} }\)

For given example,

Let \((x_1,y_1)=(2,-1),(x_2,y_2)=(2,5)\)

Let 'd' be the distance between two points (2,-1) and (2,5).

Using distance formula,

⇒ \(d=\sqrt{(2-2)^{2}+(5-(-1))^{2} }\)

⇒ \(d=\sqrt{(0)+(5+1)^{2} }\)

⇒ \(d=\sqrt{6^{2} }\)

⇒ \(d=6\) units.

Therefore, the distance between two points (2,-1) and (2,5) is 6 units.

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Answer:

The answer is 8

Step-by-step explanation:

4^3 = 64

2^3 = 8

64/8= 8

4^3 = 4 x 4 x 4

4 x 4 = 16

16 x 4 = 64

So, now you have 64/2^3. Now for the second part of the expression.

2^3 = 2 x 2 x 2

2 x 2 = 4

4 x 2 = 8

So, 64/8.

64/8 = 8

So, the answer would be 64/8 or 8. You should probably write 64/8 though because you're using Khan Academy and it's sensitive

Answer:

Seven-sixteenths

Step-by-step explanation:

(1/2)*(7/8)=7/16

Newton's law of gravitation says that the force due to gravitation between two objects with masses m₁ and m₁ is given by the formula

\(F=G\dfrac{m_1m_2}{r^2}\)

Where r is the distance between the objects, and G is the gravitational constant (about 6.674×10⁻¹¹ m³⋅kg⁻¹⋅s⁻²)

We would need a minimum of 8 customer service representatives to achieve an average waiting time of 2 minutes.

To determine the minimum number of customer service representatives needed to achieve an average waiting time of 2 minutes, we can use the M/M/1 queuing model formula:

where L is the average number of customers waiting in the queue, λ is the arrival rate (calls per minute), and W is the average time a customer spends waiting in the queue.

First, we need to convert the arrival rate from every 7 minutes to arrivals per minute:

Next, we need to find the service rate, which is the reciprocal of the service time:

The utilization factor (ρ) is calculated as the ratio of arrival rate to service rate:

Using Little's Law, we can calculate the average number of customers in the system:

This negative value implies that the system is unstable and would result in an infinite queue. Therefore, we need to increase the number of customer service representatives to reduce the average waiting time.

Assuming we want to achieve an average waiting time of 2 minutes, we can rearrange the formula to solve for the minimum number of customer service representatives (n):

n = (ρ² + ρ) / (2 * (1 - ρ) * (1 - 2 * ρ * \(e^{(-p/2)}\)))

n ≈ 7.89

Therefore, we would need a minimum of 8 customer service representatives to achieve an average waiting time of 2 minutes.

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