Which of the following statements is an example of a null hypothesis? * 2 points The average GWA of resident students is higher than the average GWA of commuter students. The average GWA of resident students is not equal the average GWA of commuter students. 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. The average GWA of resident students is lower than the average GWA of commuter students. There is a difference between the average GWA of resident students and the average GWA of commuter students.

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.

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:

Option B is correct, x ≤ 2  is the domain of the function shown on the graph.

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.

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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

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.

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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

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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

Answer:

the answer is in the attachment

Answer:

c) 59.6516 miles

d) 158.503 quarts, 64.3738 km

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:

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

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!

Answer:

I think its D. If not then it's A. I'm sorry if I get it wrong

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.

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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.

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Answer:

1764

Step-by-step explanation:

2% of 1800 = 0.02 * 1800 = 36

1800 - 36 = 1764

Answer: 1764

Answer:

-36

Step-by-step explanation:

Answer:

i think x = 21

Step-by-step explanation:

Answer: 30

Step-by-step explanation: Both of them are thirty because total angle adds up to 180 on a triangle

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.

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

Answer:

same here hyarhaha what to do

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.

Answer:

answer is -

area of white color flags - 27000cm²

" " blue " " - 27000cm²

" " red " " - 27000cm²

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.

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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

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).

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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].

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