Answer:
Nope
Step-by-step explanation:
3 + 9 + 2 + 7 = 21
21 is not divisible by 9, Therefore, 3927 is not divisible by 9.
Answer:
No. not by a full number
Step-by-step explanation:
Because if we whip out our calculators we get 436.333333333
FIND THE EREA OF THE GIVEN TRIANGLE YOU MUST SHOW WORK!
Answer:
Area = 12 square units
Step-by-step explanation:
Area = b x h x 1/2
Area = 8 x 3 x 1/2
Area = 24 x 1/2
Area = 12
Hope that helps! :)
Answer:
12 is the area . ihshssisjjss
2. (06.02) (Plssss help this is a test)
A linear function that represents the number of animals adopted from the shelter is compared to a different linear function that represents the hours volunteers work at the shelter each week. Describe the key features of the functions
that are needed to determine if these lines intersect. (10 points)
Step-by-step explanation:
linear functions (or lines) have really only 2 attributes :
the slope (indicating the inclination of the line).
the y-intercept (the intersection with the y-axis) or the x-intercept. either way, they show the actual position of the line.
the lines intersect at one point, if they have different slopes.
they intersect at infinitely many points, if the slope and the y- or x-intercepts are equal (ultimately that means the lines are identical, so every point is an intersection point).
if they have the same slope but different y- or x-intercepts, it means they are parallel and will never intersect.
of the total variation in the dependent variable, the proportion that is explained by the variation in the independent variable is called
Of total variation in "dependent-variable", the proportion which is explained by variation in "independent-variable" is called (b) coefficient of determination.
The "Coefficient-Of-Determination", denoted as R², is a statistical measure which represents the proportion of total-variation in the dependent variable which can be explained by variation in "independent-variable".
It quantifies the percentage of dependent variable's variability which can be attributed to the independent variable. A higher coefficient of determination indicates a stronger relationship between the variables, which means that more of variation in "dependent-variable" can be accounted for by changes in the independent-variable.
Therefore, the correct option is (b).
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The given question is incomplete, the complete question is
Of the total variation in the dependent variable, the proportion that is explained by the variation in the independent variable is called
(a) the coefficient of correlation
(b) the coefficient of determination
(c) the coefficient of skewness
(d) none of the above
Simplity the expression.
3(2y - 8) - 2y(5 - y)
Answer:
2y² - 4y - 24
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
3(2y - 8) - 2y(5 - y)
Step 2: Simplify
[Distributive Property] Distribute 3 and -2y: 6y - 24 - 10y + 2y²Combine like terms: 2y² - 4y - 24name the correct angles 5 and 7
Answer:
Acute angle.
Right angle.
Obtuse angle.
Straight angle.
Reflex angle
Step-by-step explanation:
Answer:
no picture
Step-by-step explanation:
:)
Select the correct statement(s) regarding error control. a. error detection is used to detect data errors, but not to correct them b. error correction is used to correct data errors c. error control methods only give us a probability that bit errors can be either detected and/or corrected d. all statements are correct
The correct statement(s) regarding error control is b. error correction is used to correct data errors. Error control is the process of detecting errors in data that is transmitted from one system to another, and then correcting the errors to ensure that the data is accurate.
It is important for ensuring that data is transmitted accurately, especially in situations where data loss could have serious consequences.
Here are the explanations to the statements: a. error detection is used to detect data errors, but not to correct them- False. Error detection refers to the process of detecting errors in data, but not correcting them.
b. error correction is used to correct data errors- True. Error correction is used to detect and correct errors in data.
c. error control methods only give us a probability that bit errors can be either detected and/or corrected- False.
Error control methods can both detect and correct errors in data with a high degree of accuracy.d. all statements are correct- False. Only statement b is correct.
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I WILL GIVE
Create an equivalent expression for this
Answer: C
Step-by-step explanation:
Answer: I think the answer is A.
Step-by-step explanation:
The price of oranges is proportional to the number of oranges if
One orange costs 1200 Rs. Find:
A. The price of 12 oranges.
B. The amount of oranges that cost 32,000 Rs.
#1
Cost of 1orange=1200
Cost of 12 oranges:-
\(\\ \sf\longmapsto 1200(12)=14400\)
#2
Total cost=32000Cost of one orange=1200Total oranges
\(\\ \sf\longmapsto 32000\div 1200\)
\(\\ \sf\longmapsto 2666.6\)
\(\\ \sf\longmapsto 2667\)
please help I need to answer this urgently.
Answer:
2 unid
Step-by-step explanation:
One month before an election, a poll of 630 randomly selected voters showed 55% planning to vote for a certain candidate. A week later it became known that he had had an extramarital affair, and a new poll showed only 53% of 1010 voters supporting him. Do these results indicate a decrease in voter support for his candidacy?
Determine the test statistic. z= (Round to two decimal places as needed.)
Find the P-value.
estimate that difference, p1−p2, with a 95% confidence interval
The statistics are as follows:
- Test Statistic: The calculated test statistic is approximately 1.02.
- P-value: The P-value associated with the test statistic of 1.02 is approximately 0.154.
- Confidence Interval: The 95% confidence interval for the difference in proportions is approximately -0.0186 to 0.0786.
To solve the problem completely, let's go through each step in detail:
1. Test Statistic:
The test statistic can be calculated using the formula:
z = (p1 - p2) / √[(p_cap1 * (1 - p-cap1) / n1) + (p_cap2 * (1 - p_cap2) / n2)]
We have:
p1 = 0.55 (proportion in the first poll)
p2 = 0.53 (proportion in the second poll)
n1 = 630 (sample size of the first poll)
n2 = 1010 (sample size of the second poll)
Substituting these values into the formula, we get:
z = (0.55 - 0.53) / √[(0.55 * (1 - 0.55) / 630) + (0.53 * (1 - 0.53) / 1010)]
z = 0.02 / √[(0.55 * 0.45 / 630) + (0.53 * 0.47 / 1010)]
z ≈ 0.02 / √(0.0001386 + 0.0002493)
z ≈ 0.02 / √0.0003879
z ≈ 0.02 / 0.0197
z ≈ 1.02 (rounded to two decimal places)
Therefore, the test statistic is approximately 1.02.
2. P-value:
To find the P-value, we need to determine the probability of observing a test statistic as extreme as 1.02 or more extreme under the null hypothesis. We can consult a standard normal distribution table or use statistical software.
The P-value associated with a test statistic of 1.02 is approximately 0.154, which means there is a 15.4% chance of observing a difference in proportions as extreme as 1.02 or greater under the null hypothesis.
3. Confidence Interval:
To estimate the difference in proportions with a 95% confidence interval, we can use the formula:
(p1 - p2) ± z * √[(p_cap1 * (1 - p_cap1) / n1) + (p_cap2 * (1 - p_cap2) / n2)]
We have:
p1 = 0.55 (proportion in the first poll)
p2 = 0.53 (proportion in the second poll)
n1 = 630 (sample size of the first poll)
n2 = 1010 (sample size of the second poll)
z = 1.96 (for a 95% confidence interval)
Substituting these values into the formula, we get:
(0.55 - 0.53) ± 1.96 * √[(0.55 * (1 - 0.55) / 630) + (0.53 * (1 - 0.53) / 1010)]
0.02 ± 1.96 * √[(0.55 * 0.45 / 630) + (0.53 * 0.47 / 1010)]
0.02 ± 1.96 * √(0.0001386 + 0.0002493)
0.02 ± 1.96 * √0.0003879
0.02 ± 1.96 * 0.0197
0.02 ± 0.0386
The 95% confidence interval for the difference in proportions is approximately (0.02 - 0.0386) to (0.02 + 0.0386), which simplifies to (-0.0186 to 0.0786).
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A square pool has an area of 169ft^2 . What is the side length of the pool?
Area of a square is side ^2
To find the length of the side using area find the square root of the area.
Side length = sqrt(169)
Side length = 13 feet
Answer:
13 ft
Step-by-step explanation:
The area of a pool is length × width (l × w) , but the length and width are the same so I'll use \(b\) representing both length and width:
A = l × w
A = \(b^{2}\)
Area of the pool is 169
169 = \(b^{2}\)
\(b\) = \(\sqrt{169}\)
\(b\) = 13
Serigo used 20 yards of fence to enclse a rectanglur garden he wanted the rectangle to have the greatest possible arra what are the dimensions and area of sergios garden
The dimensions and area of Sergio's garden are 5 yards and 25 square yards respectively
What are the dimensions and area of Sergio's garden?The given parameters are
Perimeter = 20 yards
For the rectangle to have the greatest are, the rectangle must be a square
So, the dimension is
Length = Perimeter/4
This gives
Length = 20/4
Evaluate
Length = 5
The area of Sergio's garden is
Area = 5 * 5
Evaluate
Area= 25
Hence, the dimensions and area of Sergio's garden are 5 yards and 25 square yards respectively
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Find the number of real number solutions for the equation. x2 − 15 = 0
Answer:
x²-15=0 {GIVEN}
Step-by-step explanation:
x²=15
x=±√15
hence, x =+√15 and -√15There are 30 students in a class. 10 students have a pet dog, 13 students have a pet cat, and 7 students have a pet fish. 4 students have both a pet dog and a pet cat, 6 students have a pet cat and a pet fish, 2 students have a pet dog and a pet fish. 1 student has all three. How many of the 30 students have pets?
Answer:
9 students have pets
Step-by-step explanation:
From the above question, we are given the following information
Total number of students = 30
Let Pet Dog = D
Pet Cat = C
Pet Fish = F
Number is students that have pet dog
(D) = 10 students
Number of students that have pet cat (C) = 13 students
Number of students that have pet fish (F) = 7 students
Number of students that have Pet dog and cat ( D and C) = 4 students
Number of students that have Pet cat and fish (C and F) = 6 students
Number of student that has pet dog and pet fish (D and F) = 2 students
1 student has all three = ( D and F and C)
Number of student that have a pet Dog only
= n(D) - [n( D and C) + n( D and F) - n(D and C and F)]
= 10 -( 4+ 2 -1)
= 10 - 5
= 5
Number of student that have Pet cat only
= n(C) -[ n( D and C) + n( C and F) - n( D and C and F)]
= 13 -( 4 + 6 - 1)
= 13 - 9
= 4
Number is student that have a pet fish only
= n(F) - [n (C and F) + n( D and F) - n( D and C and F)]
= 7 - [6 + 2 - 1]
= 7 - 7
= 0
The number of students that have pets is calculated as:
(Number of students that have dogs only + Number of student that have cats only + Number of students that have fish only)
= 5 + 4 + 0
= 9
Therefore only 9 students have pets.
how do you use equilateral and isosceles triangles to compute values of the trig functions at multiples of 30 and 45 degrees
Drawing an altitude and computing the side lengths of the resulting half triangle for an equilateral and isosceles triangle, would give the trigonometric functions for multiples of 30 and 45 respectively.
What is the significance of 30°-60°-90° and 45°-45°-90° right triangles?In a 30°-60°-90° right triangle, the longer leg is \(\sqrt{3}\) times longer than the shorter leg, and the hypotenuse is twice as long. In a 45°-45°-90° right triangle, sides opposite to the equal angles (45°) are equal and the hypotenuse is \(\sqrt{2}\) times the other sides.
To find the trigonometric functions of multiples of 30°, first consider a equilateral triangle of, say, side-length 2. Draw an altitude for the triangle. Each of the half triangle are 30°-60°-90° right triangle. Clearly the base will be divided into 2 equal parts of length 1 each. Now using Pythagorean Theorem on one of the 30°-60°-90° right triangle, trigonometric functions for multiples of 30° could be obtained.
Draw x and y axis. Now take a length of , say , 2 in the x-axis and using a compass pointed at origin and mark the point on y axis with a length 2. Now join these points on x and y axis. A 45°-45°-90° isosceles right triangle with side-length 2 is obtained. Now using Pythagorean Theorem, trigonometric functions for multiples of 45° could be obtained.
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suppose the proportion of students in school a diagnosed with adhd is p1 and the proportion of students in school b diagnosed with adhd is p2. state the null hypothesis for a test to determine if school a has the lower proportion of students diagnosed with adhd.
H0: p1 ≥ p2 (Null hypothesis: Proportion of ADHD-diagnosed students in School A is equal to or greater than in School B)
Null Hypothesis: The proportion of students diagnosed with ADHD in School A is equal to or greater than the proportion of students diagnosed with ADHD in School B.
Symbolically, the null hypothesis can be stated as:
H0: p1 ≥ p2
Where:
H0: Null Hypothesis
p1: Proportion of students diagnosed with ADHD in School A
p2: Proportion of students diagnosed with ADHD in School B
In other words, the null hypothesis assumes that there is no significant difference or that School A may have an equal or higher proportion of students diagnosed with ADHD compared to School B.
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Evaluate 5x-2w+t
Help needed!!
the answer is the same
The value of x is (2w - t)/5.
The value of w is (5x + t)/2.
The value of t is 2w - 5x.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
5x - 2w + t = 0
Solve for x.
5x - 2w + t = 0
5x = 2w - t
x = (2w - t)/5
Solve for w.
5x - 2w + t = 0
5x + t = 2w
w = (5x + t)/2
Solve for t.
5x - 2w + t = 0
t = 2w - 5x
Thus,
The value of x, w, and t is given above.
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HELP!!!!!!!! Neeed answer ASAP
When dividing 456.3 by 100, how should the decimal point be moved?
1. Move the decimal point three places to the right.
2. Move the decimal point two places to the right.
3. Move the decimal point three places to the left.
4. Move the decimal point two places to the left.
When dividing 456.3 by 100, how should the decimal point be moved is:
Add three places to the left of the decimal point.What is meant by decimal point ?Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point. 12.5 is a decimal number, for instance.
In mathematics, the decimal system—also known as the Hindu-Arabic number system or the Arabic number system—is a positional numeral system that uses 10 as its base and calls for the use of 10 different numbers, including 0, 1, 2, 3, 4, 5, 6, 7, and 8. To indicate decimal fractions, a dot (decimal point) is also necessary.
We use decimals on a daily basis when dealing with things like money, weight, and length. Decimal numbers are used when higher accuracy is required than full numbers can provide.
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Which phrase best describes f(x). graphed on the coordinate plane below? 4 2 A WIN f(x) is an odd function, O f(x) is an even function. f(x) is both odd and even. fix) is neither odd nor even
Answer:
f(x) is an odd function.
Step-by-step explanation:
POSSIBLE POINTS: 20 Garrett invests $11,000 in a savings account that pays 2% simple interest. Which best represents the interest the account will earn after 4 years, if he makes no withdrawals or deposits?
Point A is mapped to point of (-1,4) (x-4,y+1) following a reflection over y = 4.What are the coordinates of A?
Transformations
We are given the coordinates of point A=(-1,4).
A transformation (x-4,y+1) is applied. This means the x-coordinate is subtracted 4 and the y-coordinate is added 1 to get the point A' = (-1-4,4+1) = (-5, 5)
Now it's required to reflect A' over y=4
The vertical distance from the point to y=4 is 5-4 = 1.
Thus, we subtract 2*1 = 2 to the y-coordinate to get A'' = (-5,5-2) = (-5,3)
The final coordinates of the original point are (-5,3)
Margo said that the answer to number 5 was that they were both correct in this case: 3n - 5 + n and 3n - (5 + n). Is Margo correct or incorrect, and why?
Answer:The equation is 7 n 2 = 5(k - m). b. Fifteen times a number subtracted from 80 is 25. You can rewrite the verbal sentence so it is easier to translate.
78 pages
Step-by-step explanation:
An expression is defined as a set of numbers, variables, and mathematical operations. The two expressions are not equal.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
If we solve both the expressions, then it can be seen that,
3n - 5 + n
Bring the like terms together,
= 3n + n - 5
= 4n - 5
3n - (5 + n)
Open the parenthesis,
= 3n - 5 - n
Bring the like terms together,
= 3n - n - 5
= 2n - 5
Now, it is seen that the result of the two expressions when simplified will be different, this is because in the second expression when the parenthesis is opened it changes the value of n in the parenthesis.
Hence, the two expressions are not equal.
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Do you think Lasso, ridge regression and random forest approach
suggested in the article will work in Malaysia? Justify your answer
with references.
Lasso, ridge regression, and random forest models have been applied successfully in Malaysia to predict economic growth, crime rates, and the performance of Islamic banking institutions.
Lasso, ridge regression, and random forest approach that are suggested in the article could be applied to Malaysia. Lasso and ridge regression are regression models that are used to prevent overfitting, which is common when there are many predictors and few observations. Random forest is a decision tree-based model that is used for classification and regression analysis.
The study by Ashraf and Khan (2018) aimed to predict the economic growth of Malaysia by using regression models. The study used the Lasso regression model as it has been used for feature selection, where it can automatically remove unnecessary predictors from the model, and is good at handling multicollinearity. The study concluded that Lasso regression was the best model to predict economic growth in Malaysia.
In another study by Rizwan et al. (2017), it was found that random forest could be used to predict crime rates in Malaysia with a high degree of accuracy. In a study by Sulaiman et al. (2020), it was found that ridge regression can be used to predict the performance of Islamic banking institutions in Malaysia.
To conclude, Lasso, ridge regression, and random forest models have been applied successfully in Malaysia to predict economic growth, crime rates, and the performance of Islamic banking institutions.
Therefore, it can be said that these models can be used in Malaysia to make predictions.
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given a multi-value attribute with a variable number of values, for which we need to process independently the values, it is recommended to consider a new dependent entiy to represent the values
Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently.
Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently, it is recommended to consider creating a new dependent entity to represent the values. This can help to simplify the design and make it easier to manage and maintain. The new entity can be linked to the original entity through a relationship, allowing each value to be processed independently while still maintaining the integrity of the data. Overall, this approach can improve the efficiency and effectiveness of the system, making it easier to work with and providing better results for the end user.
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1. design an arithmetic logic circuit to perform the following addition: 11011 10111
To design an arithmetic logic circuit to perform the addition of the binary numbers 11011 and 10111, follow these steps:
1. Identify the binary numbers to be added: 11011 and 10111.
2. Create a circuit with five full adders (FA) connected in series. Full adders are required because we need to add two binary numbers and account for any carry generated during the addition process.
3. Connect the least significant bits (LSB) of both binary numbers to the input of the first full adder (FA1). In this case, the LSBs are 1 (from 11011) and 1 (from 10111).
4. Connect the carry output (Cout) of FA1 to the carry input (Cin) of the second full adder (FA2).
5. Repeat the process of connecting the binary inputs and carry outputs for the remaining full adders (FA3, FA4, and FA5) in the series.
6. The sum outputs (S) of each full adder represent the resulting binary sum of the two input numbers.
By following these steps, your arithmetic logic circuit will successfully perform the addition of the binary numbers 11011 and 10111.
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Raj was friends with his waitress so he left her a 90 percent tip.
Percents
Total
90%
10%
100%
10%
10%
10%
10%
10%
10%
10%
10%
10%
10%
x
If his tip was $27.54, what is the value of x in the table above?
The value on the table above will be $30.6. Then the correct option is D.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred.
Raj was friends with his waitress, so he left her a 90 percent tip.
If his tip was $27.54.
Then the value in the table above will be
⇒ $27.54 / 0.90
⇒ $30.6
Then the correct option is D.
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Is ozone harmful to health?
Ozone can be both harmful and beneficial to health, depending on its location in the atmosphere and the levels at which it is present.
In the stratosphere (the layer of the atmosphere that is located about 10-50 kilometers above the Earth's surface), ozone is a beneficial gas that protects life on Earth by absorbing harmful ultraviolet (UV) radiation from the sun. However, at ground level, ozone can be harmful to health, particularly for people with respiratory problems such as asthma.
Exposure to high levels of ozone can irritate the respiratory system and cause coughing, throat irritation, and chest pain. It can also worsen bronchitis, emphysema, and other lung diseases. Ozone can also reduce lung function and inflame the linings of the lungs, leading to more serious health problems.
It is important to note that ground-level ozone is not emitted directly into the air, but is formed when pollutants from sources such as vehicle exhaust, power plants, and industrial facilities react with sunlight and heat.
Therefore, Ozone can be both harmful and beneficial to health.
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With no sacredness of the ballot, there can be no sacredness of human life itself." Ida B. Wells wrote in her 1910 pamphlet, "How Enfranchisement Stops Lynchings.",
On August 6, 1965, the Voting Rights Act was passed to prevent racial discrimination in voting. In the next 5 years, Black registration increased by over 1 million.
The US Department of Justice has presented an Introduction to Federal Voting Rights Laws, noting that, "Soon after passage of the Voting Rights Act, [in August,1965] …black voter registration began a sharp increase. …The Voting Rights Act itself has been called the single most effective piece of civil rights legislation ever passed by Congress."
The following table compares black voter registration rates with white voter registration rates in seven Southern States in 1965 before passage of the Voting Rights act and then again in 1988.
State March 1965 November 1988
Black White Gap Black White Gap
Alabama 19.3 69.2 49.9 68.4 75.0 6.6
Georgia 27.4 62.6 35.2 56.8 63.9 7.1
Louisiana 31.6 80.5 48.9 77.1 75.1 -2.0
Mississippi 6.7 69.9 63.2 74.2 80.5 6.3
North Carolina 46.8 96.8 50.0 58.2 65.6 7.4
South Carolina 37.3 75.7 38.4 56.7 61.8 5.1
Virginia 38.3 61.1 22.8 63.8 68.5 4.7
Adapted from Bernard Grofman, Lisa Handley and Richard G. Niemi. 1992. Minority Representation and the Quest for Voting Equality. New York: Cambridge University Press, at 23-24
The numbers in the table are all rates, that is, percents.
1. Which state had the greatest increase in the percent of black voter registration?
2. Which state had the greatest increase in the percent of white voter registration?
3. Notice the column ‘Gap’. What is the meaning of the numbers in that column?
4. Which state shows the greatest decrease in the gap between black and white registration rates?
Your responses should fully explain your answer with a complete explanation or solution, and meet the high-quality criteria as
Mississippi - greatest increase in the percent of black voter registration. Alabama - greatest increase in the percent of white voter registration. Positive number - black voter registration is lower than white voter registration. Louisiana - greatest decrease in the gap between black and white registration rates.
The table shows black voter registration rates in comparison to white voter registration rates in seven Southern States in 1965 before the Voting Rights Act was passed, and then again in 1988. Here are the answers to the given questions:
Mississippi had the greatest increase in the percent of black voter registration (from 6.7% to 74.2%). This means that black voter registration in Mississippi increased by 67.5%.
Alabama had the greatest increase in the percent of white voter registration (from 69.2% to 75.0%). This means that white voter registration in Alabama increased by 5.8%.
The "Gap" column in the table shows the difference between the percent of black voter registration and the percent of white voter registration. A positive number indicates that black voter registration is lower than white voter registration, while a negative number indicates that black voter registration is higher than white voter registration.
Louisiana shows the greatest decrease in the gap between black and white registration rates, going from a gap of 48.9% in 1965 to a gap of -2.0% in 1988. This means that by 1988, black voter registration in Louisiana had actually surpassed white voter registration.
The table given above shows how the Voting Rights Act passed in 1965 helped to increase black voter registration rates in Southern states. It is evident from the table that there has been a significant increase in black voter registration rates after the Voting Rights Act was passed. Mississippi had the greatest increase in the percent of black voter registration, going from 6.7% in March 1965 to 74.2% in November 1988. This means that the black voter registration increased by 67.5% over these years. Moreover, the Voting Rights Act has been called the single most effective piece of civil rights legislation ever passed by Congress. The Act not only helped to increase black voter registration rates but also helped to prevent racial discrimination in voting. It is important to note that the Act is still relevant today, and its provisions have been used to prevent voting discrimination based on race, language, and ethnicity.
In conclusion, the Voting Rights Act has played a significant role in ensuring the sacredness of the ballot, and by extension, the sacredness of human life itself.
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Question Four The Teaching Excellence and Library Department at Botho University carried out a survey to find out the time spent in the library by the university community. A random sample of 200 members was taken and the average time spent in the library was computed to be 30 minutes. From this case, find:
a) the population of interest (2 marks)
b) the sample (2 marks)
c) whether 30 minutes is a parameter or statistic, justify your answer. (2 marks)
MICROECONOMICS
(a)The population of interest is the entire university community at Botho University. (b)The sample is the random sample of 200 members. (c)The average time spent in the library, which is 30 minutes, is a statistic because it is computed from the sample and represents a characteristic of the sample, not the entire population.
a) The population of interest in this case would be the entire university community at Botho University. It includes all members of the university community who could potentially spend time in the library.
b) The sample in this case is the random sample of 200 members that was taken from the university community. It represents a subset of the population of interest and is used to make inferences about the larger population.
c) In this case, 30 minutes is a statistic, not a parameter.
A statistic is a value calculated from a sample that describes some characteristic of the sample. In this case, the average time spent in the library, which is 30 minutes, was computed from the sample of 200 members. It represents the average time spent in the library by the sampled members.
On the other hand, a parameter is a value that describes a characteristic of the population. Since the average time spent in the library is based on the sample and not the entire population, it cannot be considered a parameter.
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