The following statement is an example of a null hypothesis: There is no difference between the average GWA of resident students and the average GWA of commuter students, and if there is, it is due to chance.
In statistics, a null hypothesis is a statement that assumes there is no difference between the two variables being tested. The null hypothesis is the statement that the researcher is attempting to disprove in favor of the alternative hypothesis. The null hypothesis can either be rejected or not rejected by the researcher after conducting statistical analysis.
In this case, the null hypothesis states "There is no difference between the average GWA (General Weighted Average) of resident students and the average GWA of commuter students, and if there is, it is due to chance." This means that the null hypothesis assumes that there is no significant distinction in the average GWA between resident students and commuter students. Any observed differences, if they exist, are attributed to random chance rather than a systematic difference between the two groups.
When conducting hypothesis testing, we compare the observed data to the null hypothesis to determine if there is enough evidence to reject the null hypothesis in favor of an alternative hypothesis.
To learn more about null hypothesis: https://brainly.com/question/4436370
#SPJ11
Vincent paints 75% of his statues. He paints 60 statues. How many statues does Vincent have in total?
Answer:
80
Step-by-step explanation:
Let the total number of statues be s. Then 0.75s = 60, and s = (4/3)(60 statues) = 80
He has 80 statues total.
Marcelina has over 500 500500 songs on her mobile phone, and she wants to estimate the average length of the songs (in minutes). She takes an SRS of 28 2828 songs on her phone and calculates a sample mean of 3.4 3.43, point, 4 minutes and a standard deviation of 0.72 0.720, point, 72 minutes. The song lengths in the sample were roughly symmetric with no clear outliers. Based on this sample, which of the following is a 99 % 99%99, percent confidence interval for the mean length (in minutes) of the songs on her phone?
Answer:
The 99% confidence interval for the mean length of the songs on Marcelina's phone is approximately (3.08 minutes, 3.78 minutes).
Step-by-step explanation:
To calculate the 99% confidence interval for the mean length of the songs on Marcelina's phone, we can use the formula:
Confidence Interval = Sample Mean ± (Z * Standard Error)
Where:
Sample Mean is the mean length of the sample songs (3.43 minutes).
Z is the critical value associated with the desired confidence level (99% confidence level corresponds to a Z-value of approximately 2.576).
Standard Error is the standard deviation of the sample divided by the square root of the sample size.
Given that the sample size is 28 songs and the standard deviation is 0.72 minutes, we can calculate the standard error as:
Standard Error = Standard Deviation / √(Sample Size)
Standard Error = 0.72 / √28 ≈ 0.136
Now we can substitute the values into the formula:
Confidence Interval = 3.43 ± (2.576 * 0.136)
Calculating the confidence interval:
Confidence Interval = 3.43 ± 0.350
Confidence Interval = (3.08, 3.78)
Therefore, based on this sample, the 99% confidence interval for the mean length of the songs on Marcelina's phone is approximately (3.08 minutes, 3.78 minutes).
Hope this helps!
PLS HELP MEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!! ITS TIMED!!!!!!!!!!!!!!!
Answer:
answer is -
area of white color flags - 27000cm²
" " blue " " - 27000cm²
" " red " " - 27000cm²
plzzzz help mark brainiest plus 20 points
:)
Answer:
I think its D. If not then it's A. I'm sorry if I get it wrong
An example of presenting percentages regarding football examined the role of discrimination by comparing what percentages?
a. African Americans as NFL players versus quarterbacks specifically b. African Americans as quarterbacks versus the US population. c. Whites as NFL players versus the US population. d. none of these choices are correct.
African Americans as quarterbacks versus the US population is an example of presenting percentages regarding football examined the role of discrimination.
In the given example, the comparison is made between the percentage of African Americans as quarterbacks and the percentage of African Americans in the US population. This comparison focuses specifically on the representation of African Americans in the quarterback position, examining whether there is a discrepancy or underrepresentation compared to their proportion in the overall population.
In the example of presenting percentages regarding football, the comparison is made between the percentage of African Americans as quarterbacks and the percentage of African Americans in the US population.
This specific comparison aims to assess the representation and potential discrimination faced by African Americans in the quarterback position. By comparing the percentage of African American quarterbacks to their proportion in the overall US population , it seeks to identify any disparities or underrepresentation that may exist.
This analysis allows for an examination of potential biases or barriers that could be influencing the opportunities and representation of African Americans as quarterbacks in football, shedding light on the role of discrimination in the sport.
Therefore, African Americans as quarterbacks versus the US population is an example of presenting percentages regarding football examined the role of discrimination.
To know more about US population check the below link:
https://brainly.com/question/4517632
#SPJ4
What are the x and y-intercepts of the line described by this equation? −6x+3y=18.9−6x+3y=18.9 Enter your answers in the boxes in decimal form.
Answer:
x intercept = -3.15
y intercept = 6.3
Step-by-step explanation:
Given the expression
-6x+3y=18.9
x intercept occurs at y = 0
-6x+3(0)=18.9
-6x = 18.9
x = -18.9/6
x = -3.15
Hence the x intercept is -3.15
y intercept occurs at x= 0
-6(0)+3y=18.9
3y = 18.9
y = 18.9/3
y = 6.3
Hence the y intercept is 6.3
Evaluate the following expression.
1/5^-2
he mean pulse rate (in beats per minute) of adult males is equal to 69 bpm. For a random sample of 125 adult males, the mean pulse rate is 69.3 bpm and the standard deviation is 10.9 bpm. Complete parts (a) and (b) below. a. Express the original claim in symbolic form. b. Identify the null and alternative hypotheses.
The goal of hypothesis testing is to gather sample data and evaluate whether it provides enough evidence to reject the null hypothesis in favor of the alternative hypothesis.
a. Expressing the original claim in symbolic form: Let μ be the population mean pulse rate of adult males.
b. Identifying the null and alternative hypotheses:
Null hypothesis (H₀): The population mean pulse rate of adult males is equal to 69 bpm. (μ = 69)
Alternative hypothesis (H₁): The population mean pulse rate of adult males is not equal to 69 bpm. (μ ≠ 69)
In this case, the original claim is that the mean pulse rate of adult males is equal to 69 bpm. To express this claim symbolically, we use the population mean μ. Therefore, the claim can be expressed as μ = 69.
For hypothesis testing, we have the null hypothesis (H₀) stating that the population mean pulse rate is equal to 69 bpm, and the alternative hypothesis (H₁) stating that it is not equal to 69 bpm. The null hypothesis is typically the assumption we want to test and challenge with evidence. In this case, the null hypothesis is μ = 69, while the alternative hypothesis is μ ≠ 69.
The goal of hypothesis testing is to gather sample data and evaluate whether it provides enough evidence to reject the null hypothesis in favor of the alternative hypothesis.
To learn more about hypothesis visit:
brainly.com/question/29576929
#SPJ11
Recall the following statement from Worksheet 11: Theorem 1. If G = (V, E) is a simple graph (no loops or multi-edges) with |V] = n > 3 vertices, and each pair of vertices a, b eV with a, b distinct and non-adjacent satisfies deg(a) + deg(6) > n, then G has a Hamilton cycle. (a) Using this fact, or otherwise, prove or disprove: Every connected undirected graph having degree sequence 2, 2, 4, 4, 6 has a Hamilton cycle. (b) The statement: Every connected undirected graph having degree sequence 2, 2, 4, 4,6 has a Hamilton cycle is A. True B. False.
The statement "Every connected undirected graph having degree sequence 2, 2, 4, 4, 6 has a Hamilton cycle" is false.
To disprove the statement, we need to provide a counterexample of a connected undirected graph with the degree sequence 2, 2, 4, 4, 6 that does not have a Hamilton cycle.
Consider a graph with five vertices labeled A, B, C, D, and E. Connect A and B with an edge, A and C with an edge, B and D with an edge, B and E with an edge, and C and D with an edge. Additionally, connect C and E with an edge, and D and E with an edge. This graph satisfies the given degree sequence.
However, this graph does not have a Hamilton cycle. A Hamilton cycle is a cycle in a graph that visits every vertex exactly once and returns to the starting vertex. In the provided graph, there is no way to construct such a cycle, as it is not possible to visit all vertices exactly once and return to the starting vertex.
Therefore, the statement "Every connected undirected graph having degree sequence 2, 2, 4, 4, 6 has a Hamilton cycle" is false (option B).
Learn more about sequence here:
brainly.com/question/30262438
#SPJ11
How do you do these? I'm not sure on how to solve these and what to do to solve them.
Answer:
c) 59.6516 miles
d) 158.503 quarts, 64.3738 km
= 10. Determine the number of zeros of the function f(x) = 24 – 223 + 922 +2 – 1 in the disk D[0,2].
The number of zeros of the function f(x) = 24 − 223 + 922 + 2 − 1 in the disk D[0, 2] is two.Answer: Two.
The given function is f(x) = 24 − 223 + 922 + 2 − 1.The number of zeros of the function in the disk D[0, 2] is to be determined.Solution:We need to use Rouche's theorem to find the number of roots of the given function f(x) = 24 − 223 + 922 + 2 − 1 in the disk D[0, 2].
Rouche's theorem: Suppose f and g are holomorphic in the domain D and on the boundary ∂D, |f(z)| > |g(z)| for all z on ∂D, then f(z) and f(z) + g(z) have the same number of zeros in the domain D.
Now, let's consider two functions. Let f(x) = 922 + 2 and g(x) = 24 − 223 − 1.Let z be any complex number such that |z| = 2.
Then we have|f(z)| = |9(2^2) + 2| = 38|g(z)| = |24 − 223 − 1| = 197. By Rouche's theorem,
we have f(z) and f(z) + g(z) have the same number of zeros in the disk D[0, 2].
The function f(z) + g(z) = 922 + 2 + 24 − 223 − 1 = 10 – 223 has two roots in the disk |z| < 2. Hence, the function f(z) = 922 + 2 has two roots in the disk D[0, 2].
To learn more about : zeros
https://brainly.com/question/150246
#SPJ8
interference is a property of a. light waves. b. sound waves. c. water waves. d. all of these e. none of these
Interference is a property of ALL the given wave options, which are light waves, sound waves, and water waves.
Interference is the phenomenon of two or more waves combining to form a resultant wave of greater, lower, or the same amplitude.
When two waves meet at the same point at the same time, they either combine constructively (resulting in the formation of a wave of greater amplitude) or destructively (resulting in the formation of a wave of lower amplitude).
For instance, when two sound waves or light waves meet, they create a resultant wave whose amplitude is equal to the sum of the two original waves.
This is known as constructive interference.
On the other hand, when two waves meet and their amplitudes are in opposite directions, they produce a resultant wave whose amplitude is equal to the difference between the two waves.
This is known as destructive interference.
To know more about Interference visit:
https://brainly.in/question/54791961
#SPJ11
Five countries enter a race. The first three racers in order, Jamaica finished before Barbados, but behind Trinidad. Haiti finished before Guyana, but behind Barbados. Who won the Bronze (finished in 3rd place)?
Answer:
Barbados won the Bronze.
Step-by-step explanation:
The information indicates that Jamaica finished before Barbados, but behind Trinidad which means that Trinidad was the first one, then Jamaica and the third one was Barbados:
1. Trinidad
2. Jamaica
3. Barbados
Then, it indicates that Haiti finished before Guyana, but behind Barbados which indicates that Haiti was in 4th place after Barbados and the last one was Guyana:
1. Trinidad
2. Jamaica
3. Barbados
4. Haiti
5.Guyana
According to this, the answer is that Barbados won the Bronze.
I need the answer quickly!
Please and Thank you!
Answer:
Option A
Step-by-step explanation:
Given expression = [tex] \frac{ - 1}{2} [/tex]
Lets multiply both numerator and denominator by -1.
[tex] = > \frac{ - 1 \times - 1}{2 \times - 1} [/tex]
[tex] = > \frac{1}{ - 2} [/tex]
Hence , Option A is the correct answer.
please helpppp to find the answer would really appreciate it !
Answer:
the answer is in the attachment
Measure of the triangle
Answer: 30
Step-by-step explanation: Both of them are thirty because total angle adds up to 180 on a triangle
decrease 1800 by 2 percent
Answer:
1764
Step-by-step explanation:
2% of 1800 = 0.02 * 1800 = 36
1800 - 36 = 1764
Answer: 1764
anybody know how to do this or what to do
Answer:
we know that 25% of something is = to 1/4 of something and we know 1/4 of that number is 8 so we have to do 8 plus 8 plus 8 plus 8 to get the answer or 8 times 4 which = 32
Step-by-step explanation:
The sum of two numbers is 80 The difference is 16 Write and solve a system of equations to find the numbers.
Answer:
32+48
Step-by-step explanation:
80- 32= 48
80-48= 32
Answer: 32; 48
Step-by-step explanation:
Let x be the smaller number, and y be the larger number, then we get
x + y = 80
x - y = 16
x - y = 16
x = 16 + y
x + y = 80
16 + y + y = 80
16 + 2y = 80
2y = 64
y = 32
x - y = 16
x - 32 = 16
x = 48
Select the correct answer.
What is the domain of the function shown on the graph?
A. -∞ < x < ∞
B. x ≤ 2
C. x ≤ 1
D. -10 < x < 2
Option B is correct, x ≤ 2 is the domain of the function shown on the graph.
What is a function?A relation is a function if it has only One y-value for each x-value.
We have to find the domain of the given graph.
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis.
The graph has x values less than or equal to two.
x ≤ 2 is the domain of the given function.
Hence, option B is correct, x ≤ 2 is the domain of the function shown on the graph.
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ3
The length of a rectangle is 12 less than four times the width. The perimeter of the rectangle is 176 cm. What are the dimensions of the rectangle?
The sum of two numbers is 52 and the difference is 8. What are the numbers?
Answer:
22, 30
Step-by-step explanation:
52/2=26
26-4=22
26+4=30
30+22=52
Answer:
30 and 22
Step-by-step explanation:
This can be solved using system of equations
Let x = the bigger number
Let y = the smaller number
The sum of two numbers is 52
x + y = 52
The difference is 8
x - y = 8
x + y = 52
x - y = 8
I will solve using elimination
(x + y = 52)
+ (x - y = 8)
-----------------------
2x = 60
/2 /2
x = 30
x + y = 52
30 + y = 52
-30 -30
y = 22
plzz help i hate mathhh hahah lol
Answer:
same here hyarhaha what to do
Calculate each unit price. Determine which is the best buy.
$1.25 for 6 oz.
$1.33 for 8 oz.
$1.50 for 12 oz.
$2.05 for 16 oz.
Answer:
1.50 for 12 ounces would be the best buy.
Step-by-step explanation:
We can calculate the unit price by dividing the price the the amount. In this case, we use ounces as our amount. Based on the calculations below, the best buy would be the 1.50 for 12 ounces as it has the lowest unit price.
1.25/6 = 0.208
1.33/8 = 0.166
1.50/12 = 0.125
2.05/16 = 0.128
What is the numerical coefficient in y=−6x−3
HELP NO LINKS NO FILES JUST ANSWERS DUE TODAY
Answer: From Figure A to Figure B it’s 1/2
Step-by-step explanation:
Count the squares around each triangle and then divide the larger number by the smaller one
Find the equation y = Bo + B12 of the least-squares line that best fits the data points: (1, 0), (2, 1), (4, 2), (5,3).
The equation of the least-squares line that best fits the given data points is y = -0.25x + 0.25.
To find the equation of the least-squares line that best fits the data points, we need to apply the method of least squares, which is a statistical technique used to minimize the sum of the squared differences between the observed data points and the values predicted by the line. In this case, we are dealing with a linear relationship between the variables x and y.
The equation y = Bo + B12 represents a linear regression model, where Bo is the y-intercept (the value of y when x is 0) and B12 is the slope of the line (the change in y corresponding to a unit change in x). By using the method of least squares, we can determine the values of Bo and B12 that minimize the sum of the squared differences between the observed y-values and the predicted y-values based on the equation.
By applying the method of least squares to the given data points (1, 0), (2, 1), (4, 2), and (5, 3), we can calculate the values of Bo and B12. After performing the necessary calculations, we find that Bo is 0.25 and B12 is -0.25. Therefore, the equation y = -0.25x + 0.25 represents the least-squares line that best fits the given data points.
Learn more about least-squares line
brainly.com/question/28234214
#SPJ11
please help, i will give brainilest.
Answer:
-36
Step-by-step explanation:
Answer:
i think x = 21
Step-by-step explanation:
The odds against drawing a face card out of a deck are 9:4. What is the probability of drawing a face card?
The probability of drawing a face card from a deck is 3/13 or approximately 0.23.
The odds against an event is defined as the ratio of the number of ways the event doesn't occur to the number of ways it occurs. In this case, the odds against drawing a face card from a deck are 9:4. So, there are 9 ways to not draw a face card and 4 ways to draw a face card.
The total number of cards in a deck is 52, and there are 12 face cards (4 jacks, 4 queens, and 4 kings). Therefore, the probability of drawing a face card is:
P(face card) = number of face cards/total number of cards = 12/52 = 3/13
We can check that this probability satisfies the given odds against:
9/4 = 9/(9+4) = 9/13
1 - P(face card) = 1 - 3/13 = 10/13
The odds against drawing a face card is the same as the probability of not drawing a face card, which is 10/13. Therefore, the odds in favour of drawing a face card can be calculated as:
odds in favour= (3/13)/(10/13) = 3/10
For such more questions on probability
https://brainly.com/question/251701
#SPJ8
aye can someone help me i am confused??
Answer:
in the first one, the rule is y=2x+1
the second rule is y=x/2+1
sorry iont about the 3rd one
Step-by-step explanation: