Value for (ii):
Part c)
Which of the following inferences can be made when testing at the 5% significance level for the null hypothesis that the racial groups have the same mean test scores?
OA. Since the observed F statistic is greater than the 95th percentile of the F2,74 distribution we do not reject the null hypothesis that the three racial groups have the same mean test score.
OB. Since the observed F statistic is less than the 95th percentile of the F2,74 distribution we do not reject the null hypothesis that the three racial groups have
the same mean test score. OC. Since the observed F statistic is greater than the 5th percentile of the F2,74 distribution we do not reject the null hypothesis that the three racial groups have
the same mean test score.
OD. Since the observed F statistic is less than the 95th percentile of the F2,74 distribution we can reject the null hypothesis that the three racial groups have the
same mean test score.
OE. Since the observed F statistic is less than the 5th percentile of the F2,74 distribution we do not reject the null hypothesis that the three racial groups have the
same mean test score.
OF. Since the observed F statistic is greater than the 95th percentile of the F2,74 distribution we can reject the null hypothesis that the three racial groups have
the same mean test score.
Part d)
Suppose we perform our pairwise comparisons, to test for a significant difference in the mean scores between each pair of racial groups. If investigating for a significant difference in the mean scores between blacks and whites, what would be the smallest absolute distance between the sample means that would suggest a significant difference? Assume the test is at the 5% significance level, and give your answer to 3 decimal places.

Answer:

Step-by-step explanation:

square root of 121 is11

square root of x^2 is x

so 11x

James will fully clear the loan after approximately 12 years when the remaining balance reaches zero.

To determine the number of years it will take for James to fully clear the loan, we need to calculate the remaining balance after each payment and divide the initial loan amount by the annual payment until the remaining balance reaches zero.

The loan amount is 9000 euros, and James pays off 770 euros each year. Since the interest is charged at a rate of 3% of the original amount per annum, the interest for each year will be \(0.03 \times 9000 = 270\) euros.

In the first year, James pays off 770 euros, and the interest on the remaining balance of 9000 - 770 = 8230 euros is \(8230 \times 0.03 = 246.9\)euros. Therefore, the remaining balance after the first year is 8230 + 246.9 = 8476.9 euros.

In the second year, James again pays off 770 euros, and the interest on the remaining balance of 8476.9 - 770 = 7706.9 euros is \(7706.9 \times 0.03 = 231.21\) euros. The remaining balance after the second year is 7706.9 + 231.21 = 7938.11 euros.

This process continues until the remaining balance reaches zero. We can set up the equation \((9000 - x) + 0.03 \times (9000 - x) = x\), where x represents the remaining balance.

Simplifying the equation, we get 9000 - x + 270 - 0.03x = x.

Combining like terms, we have 9000 + 270 = 1.04x.

Solving for x, we find x = 9270 / 1.04 = 8913.46 euros.

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Answer:

\(2*10^{-6}\)

(a) A subset K of a metric space (X, d) is said to be compact if it satisfies the following equivalent conditions: Every open cover of K has a finite subcover.

For every family of open sets whose union contains K, there exists a finite subfamily whose union also contains K. Every sequence in K has a subsequence that converges to a point in K.

(b) Heine-Borel Theorem: A subset K of a metric space (X, d) is compact if and only if it is closed and bounded.

(c) The set of natural numbers N is a non-compact closed bounded subset of the metric space R. N is bounded because it is contained in the interval [1, n] for any positive integer n, and it is closed because its complement (−∞, 1) ∪ (n, ∞) is open.

However, it is not compact because the sequence {n} has no convergent subsequence.

(d) Let K and L be compact subsets of a metric space (X, d). Suppose {Uα}α∈A and {Vβ}β∈B are open covers of K and L, respectively. Then {Uα}α∈A ∪ {Vβ}β∈B is an open cover of K ∩ L. By compactness of K and L, we can find finite subcovers {Uα1}, . . . , {Uαm} and {Vβ1}, . . . , {Vβn} of K and L, respectively.

Then {Uα1}, . . . , {Uαm}, {Vβ1}, . . . , {Vβn} is a finite subcover of K ∩ L. (e) Let f : (X, d) → (Y, ρ) be a continuous map of metric spaces and let K ⊆ X be a compact subset. Suppose {Vα}α∈A is an open cover of f(K) ⊆ Y. Then {f−1(Vα)}α∈A is an open cover of K.

Since K is compact, we can find a finite subcover {f−1(Vα1)}, . . . , {f−1(Vαn)} of K. Then {Vα1}, . . . , {Vαn} is a finite subcover of f(K). (f) Let K = {(xn) ∈ lº: xn = c for all n ∈ N}, where lº is the set of all bounded sequences of real numbers and c is a fixed constant.

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Answer:

The difference between the two throws is 6/7 yards

Step-by-step explanation:

Beatrice throw=1 7/14 yards

Tilly throw=9/14 yards

Difference between the two throws=Beatrice throw - Tilly throw

=1 7/14 - 9/14

=21/14 - 9/14

= 21-9/14

=12/14

=6/7 yards

The difference between the two throws is 6/7 yards

27

Step-by-step explanation

The measure of the vertex angle of triangle ACE is 50°. The solution has been obtained by using properties of angles.

What is an angle?

An angle is a figure in plane geometry that is created when two rays or lines share an endpoint.

We are given an isosceles triangle ACE which means that AC = CE.

We are given ∠BDE = 115°

Since, angles on a straight line form a linear pair, therefore

⇒∠BDE + ∠BDC = 180°

⇒115° + ∠BDC = 180°

⇒∠BDC = 65°

Since, BD║AE so,

∠BDC = ∠AEC

So, ∠AEC = 65°

Since, AC = CE so,

∠AEC = ∠CAE

So, ∠CAE = 65°

Now, using angle sum property, we get

⇒∠AEC + ∠CAE + ∠ACE = 180°

⇒65° + 65° + ∠ACE = 180°

⇒130° + ∠ACE = 180°

⇒∠ACE = 50°

Hence, the measure of the vertex angle of triangle ACE is 50°.

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The quantity of unfinished notes played tends to rise as practise time increases. Option A is the right conclusion, so.

A scatter plot is a type of graph that shows the correlation between two numerical variables. This graph plots the values of two variables along two axes, with the horizontal axis designating one variable and the vertical axis designating the other. Each observation's values for the two variables are plotted as data points on the graph, and the arrangement of the points might assist reveal any links or correlations between the variables. Data analysis in a number of disciplines, such as statistics, finance, and social sciences, might benefit from the usage of scatter plots.

given

We can draw the following conclusions from the data in the scatter plot:

A. The frequency of erroneous notes played increases with practise time.

The scatter plot demonstrates a positive association between the amount of time spent practising and the quantity of unfinished notes played, which allows for this conclusion to be formed.

The quantity of unfinished notes played tends to rise as practise time increases. Option A is the right conclusion, so.

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The equation for a slope of -2/3 and an intercept of -4 is 2x+3y+12=0.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation. Linear equations are classified into three types: point-slope, standard, and slope-intercept.

Here,

y=mx+b

m=-2/3

b=-4

y=-2/3x+(-4)

y=-2x/3-4

3y=-2x-12

2x+3y+12=0

The equation for slope given as -2/3 and intercept as -4 is 2x+3y+12=0.

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Answer:

As we know each burger costs $5

There are 4 burgers

When you do 4×5 you will get 20

Now subtract that 20 from the total cost

24.50-20=4.5

$4.5 is how much it costs for 3 fries

If you're wanting to calculate the number for one thing of fries then divide that 4.5 by 3

4.5/3=1.5

For one thing of fries it will cost $1.5

I hope this helps :)

Answer:

= 0,5

Step-by-step explanation:

Start at 0 then move 5 places to right.

Answer should be (0,5)

1)  The percentage of cups that contain between 10 and 11 ounces of liquid is approximately 34%.

2) The percentage of cups that contain between 8 and 10 ounces of liquid is approximately 81.5%.

3) The percentage of cups that spill over is approximately 0.3%.

4) The percentage of cups that contain between 8 and 9 ounces of liquid is approximately 2.5%.

To use the Empirical Rule, we need to assume that the distribution of the amount of liquid dispensed by the soft drink machine follows a normal distribution.

(a) To find the percentage of cups that contain between 10 and 11 ounces of liquid, we need to find the area under the normal curve between 10 and 11 standard deviations from the mean, which is represented by the interval (x - s, x + s).

According to the Empirical Rule, we know that approximately 68% of the data falls within one standard deviation of the mean. Therefore, the percentage of cups that contain between 10 and 11 ounces of liquid is approximately 68%/2 = 34%.

(b) To find the percentage of cups that contain between 8 and 10 ounces of liquid, we need to find the area under the normal curve between 8 and 10 standard deviations from the mean, which is represented by the interval (x - 2s, x + s).

According to the Empirical Rule, we know that approximately 95% of the data falls within two standard deviations of the mean. Therefore, the percentage of cups that contain between 8 and 10 ounces of liquid is approximately (95%-68%)/2 + 68% = 81.5%.

(c) To find the percentage of cups that spill over because 12 ounces of liquid or more is dispensed, we need to find the area under the normal curve to the right of 12 standard deviations from the mean, which is represented by the interval (x + 2s, ∞). According to the Empirical Rule, we know that approximately 99.7% of the data falls within three standard deviations of the mean. Therefore, the percentage of cups that spill over is approximately 0.3%.

(d) To find the percentage of cups that contain between 8 and 9 ounces of liquid, we need to find the area under the normal curve between 8 and 9 standard deviations from the mean, which is represented by the interval (x - 2s, x - s).

This interval is equivalent to the complement of the interval (x + s, x + 2s), which we can find using the Empirical Rule. The percentage of data falling outside of two standard deviations of the mean is (100% - 95%) / 2 = 2.5%.

Therefore, the percentage of cups that contain between 8 and 9 ounces of liquid is approximately 2.5%.

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The bar height for the price range of less than $5,000 will increase by 200.

In the given histogram, the x-axis represents the car prices ranging from $0 to $40,000, while the y-axis represents the number of cars sold over 10 years, ranging from 0 to 700.

Based on the provided information, we can observe that between the price ranges of $20,000 and $30,000, the bar height exceeds the maximum y-axis value of 700. Similarly, between the price ranges of $5,000 and $10,000, and $40,000 and $45,000, the bar height is indicated as 200.

If the car salesman decides to include cars with prices less than $5,000 and projects selling 200 of them over the next 10 years, the distribution will be affected as follows:

The bar representing the price range of less than $5,000 will increase in height by 200, indicating the projected sale of those additional cars. This means that the histogram will show a higher number of cars sold in the lower price range, reflecting the demand from students and the inclusion of more affordable cars in the sales strategy. This modification will result in a redistribution of the bars, with an additional bar added to represent the projected sales of cars below $5,000.

Overall, the distribution in the histogram will be affected by an increase in the bar height for the price range of less than $5,000 by 200 units, indicating the projected sale of those additional affordable cars over the next 10 years.

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Answer:

I think the answer is 169 because of the exponent

Since both points are positive, they are located in the I quadrant.

Answer:

quadrant one

Step-by-step explanation:

This is simple though the 8 is not on the graph the numbers are both positive so it's quadrant one :)

The correct answer is A. The standard error of the sample proportion will become larger as the sample size increases.

The standard error is a measure of the variability or uncertainty associated with an estimate. In the case of the sample proportion, it measures the spread or variability in the proportion of successes observed in the sample compared to the true population proportion.

As the sample size increases, the standard error decreases, indicating greater precision in estimating the true population proportion. This is because a larger sample provides more information and reduces the impact of sampling variability.

On the other hand, options B, C, and D are incorrect. The standard error is not affected by the population proportion itself but rather by the sample size. The population proportion approaching 0.50, 1.00, or 0 does not directly impact the standard error, although it may affect other measures such as the margin of error or confidence intervals. The primary factor influencing the standard error is the sample size, with larger samples leading to smaller standard errors.

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It should be noted that z^4 will be -32 in rectangular form.

Based on the information, z = r(cos θ + i sin θ), and provided positive integer n, then it is implied that:

z^n = r^n (cos nθ + i sin nθ)

In this instance, we need to solve for z^4 in rectangular form when z = -2 - 2i. Firstly, we must calculate |z| and arg(z):

|z| = √((-2)^2 + (-2)^2) = 2√2

arg(z) = arctan(-2/-2) = π/4

Leveraging De Moivre's theorem, we can effectively deduce the value of z^4 as:

z^4 = (2√2)^4 (cos (4π/4) + i sin (4π/4))

= 32 (cos π + i sin π)

= -32

Concludedly, z^4  resolved in rectangular form is -32.

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Order matters is permutation

Order doesn't matters is combination

So

The correct combinations are

Answer:

30%

Step-by-step explanation:

20 cookies in total - 14 remains = 6

6 / 20 = 0.3

0.3 = 30%

Answer:

f(x)=y= -4/2x +b

(0,2) =(x,y)

plugin (x,y) values into function

The probability of on- time arrival in class given that the subject is biology is 82.4%.

Given the following table relating to subject on tie assignment submission and on time arrival in class.

Subject              On time submission                    On time arrival

Physics                    89.7%                                             82.3%

Maths                       88.2%                                            88.7%

Chemistry                89.4%                                             83.1%

Biology                     90.1%                                              82.4%

Total                         88.5%                                             84.7%

We have to find the probability of on time arrival in class given that the subject is biology.

We have been given the corresponding percentages and percentages in itself shows some quantity. Percentage is the ratio of total favourable outcome to total outcome.

From the table the probability of on time arrival in class given that the subject is biology is 82.4%

Hence the probability of on- time arrival in class given that the subject is biology is 82.4%.

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Question is incomplete as it should includes the following table:

Subject              On time submission                    On time arrival

Physics                    89.7%                                             82.3%

Maths                       88.2%                                            88.7%

Chemistry                89.4%                                             83.1%

Biology                     90.1%                                              82.4%

Total                         88.5%                                             84.7%

Answer:

82.4%.

Step-by-step explanation:

This is based on a survey conducted by the American Customer Satisfaction Index (ACSI) in 2020 that surveyed 1,097 passengers who had flown on U.S. airlines in the past 12 months.

A survey is a research method used to collect quantitative and qualitative data from a specific population. Surveys are often used to assess attitudes, opinions, and behaviors of a given group of people. They are typically administered in the form of a questionnaire, which can be administered in person, over the phone, or online. Surveys are often used in market research, political polling, social science research, and other types of research.

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Answer:

B. 36 root7 = area of the rectangle

By applying total cost concept, it can be concluded that the expression represents the total cost is 1.45d (option A).

Algebra is a branch of mathematics that uses symbols and mathematical operations, such as addition, subtraction, multiplication, and division to solve problems.

It is usually used to solve a problem in various fields of study, such as chemistry, biology, economics, and so on.

One of the most familiar uses of algebra is how to calculate the total cost:

Total cost = n x p , where:

n = number of products

p = product price per piece

We know that Jim is going to buy donuts for his family:

p = $1.45

n = d

So the total cost can be calculated by multiplying 1.45 by d, which equals 1.45d.

Thus the expression represents the total cost is 1.45d (option A).

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Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9

Answer:

B

Step-by-step explanation:

Becaus it just is

Answer:yea he right...btw why u cheatin-..on a unit test

Step-by-step explanation:

ANSWER

EXPLANATION

We want to find the equation of the straight line given on the graph.

The general form of a linear equation is given as:

where m = slope; b = y-intercept

To find the slope, we apply the formula for slope:

where (x1, y1) and (x2, y2) are two points on the line

Let us pick (1,2) and (4,4)

Therefore, the slope is:

To find the equation, we now apply the point-slope formula:

Therefore, we have that the equation of the line is:

That is the equation of the line.