a student conducts a two-sided hypothesis test and is looking for a confidence level of 65%. for which of the p-values below would the student reject the null hypothesis?

Answers

Answer 1

the student is conducting a two-sided hypothesis test and wants a confidence level of 65%. To determine which p-values would lead to rejecting the null hypothesis, we'll follow these steps:

1. Calculate the significance level (α) by subtracting the confidence level from 1: α = 1 - 0.65 = 0.35.
2. Since it's a two-sided test, divide α by 2: α/2 = 0.35/2 = 0.175.
3. Compare each p-value with the calculated α/2 (0.175). If a p-value is less than or equal to α/2, the student would reject the null hypothesis for that p-value.

Now, to answer your question, we need the list of p-values. Please provide the list of p-values to determine which ones would lead to rejecting the null hypothesis.

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Related Questions

what is the value of x?​

what is the value of x?

Answers

Answer:

42

Step-by-step explanation:

evaluate each expressions when a=2and b=6. 7a-ab+b

Solve for x

Please Help!

Solve for xPlease Help!

Answers

Answer:

x=56

(I do not know 100% but give it a try)

Step-by-step explanation:

You need to input the vertical angles and see what the supplementary angles are and then you get your answer. 180-60=x    180-60= 120   120-40-24= 56

I think x=56


Not sure thi

The high school football team is playing their biggest rival this weekend. The coach has promised the team a day off practice for every touchdown they score. Which of these is the independent variable?The number of days off practice they the team earns the number of touchdowns the team scoresthe number of field goals the team kicks the number of touchdowns their rival scores

Answers

Answer:

The independent variable is the number of touchdowns that the team scores because the number of days off of practice is dependent on the number of touchdowns that the home team scores and not the rival team.

Take a look at the diagram below which shows a firm's cost curves. Identify the curves in the diagram. Group of answer choices E

Answers

The curves in the diagram should be correctly identified as follows: C. E = marginal cost curve; F = average total cost curve; G = average variable cost curve; H = average fixed cost curve.

What is costing?

In Financial accounting, costing can be defined as a strategic process that is typically used for the measurement of the cost of production of goods and services, especially by assessing the fixed costs and variable costs that are associated with each step of production.

Generally speaking, a fixed cost is a predetermined expense in a business that remains constant for a specific period of time, regardless of the quantity of production or level of outputs in a plant.

Conversely, a variable cost is the cost that changes with respect to the level of production or the amount of output.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Take a look at the diagram below which shows a firm's cost curves. Identify the curves in the diagram.

The areas of similar triangles ΔABC and ΔDEF are equal. If the longest side of ΔDEF measures 25 units, what is the length of the longest side of ΔABC?

A.
5 units

B.
25 units

C.
75 units

D.
50 units

Answers

Answer:

It is 25 units

Step-by-step explanation:

The triangles are equal

Answer:

25 Units.

Step-by-step explanation:

The Triangles are equal and have the same area. Therefore, the longest side of ΔDEF and ΔABC will measure the same.

Select all the correct answers.
Which tables represent constant functions?

x y
2 -1
2 0
2 1

x y
2 -3
4 -7
6 -11

x y
2 3
4 3
6 3

x y
1 3
2 12
3 27

x y
1 -1
2 -1
3 -1

Answers

Answer:

Its C and E

I took the test and got it right

Answer:

C. and E.

Step-by-step explanation:

I got it right on the test

The triangle with vertices at l space open parentheses minus 2 comma space 5 close parentheses comma e space open parentheses 1 comma space 4 close parentheses comma and d space open parentheses 2 comma space minus 2 close parentheses is translated 4 units left, 3 units up, and then reflected over the line y equal 4 to form the image triangle l apostrophe e apostrophe d apostrophe. Which vertex of the image is the greatest distance from the origin?.

Answers

The greatest distance from the origin is 10, which corresponds to vertex L'' (6, 8) of the image triangle.

To determine the vertex of the image triangle that is the greatest distance from the origin, we need to follow the given transformations step by step and find the coordinates of the image vertices.

1. Translation: The given triangle is translated 4 units left and 3 units up.

  - Vertex L' is located at (-2 - 4, 5 + 3) = (-6, 8).

  - Vertex E' is located at (1 - 4, 4 + 3) = (-3, 7).

  - Vertex D' is located at (2 - 4, -2 + 3) = (-2, 1).

2. Reflection: The translated triangle is reflected over the line y = 4.

  - The line y = 4 acts as a mirror. The y-coordinate of each vertex remains the same, but the x-coordinate is reflected.

  - Vertex L'' is located at (-(-6), 8) = (6, 8).

  - Vertex E'' is located at (-(-3), 7) = (3, 7).

  - Vertex D'' is located at (-(-2), 1) = (2, 1).

Now, we have the coordinates of the image triangle vertices: L'' (6, 8), E'' (3, 7), and D'' (2, 1).

To determine which vertex is the greatest distance from the origin (0, 0), we can calculate the distances using the distance formula:

- Distance from the origin to L'': √[(6 - 0)² + (8 - 0)²] = √(36 + 64) = √100 = 10.

- Distance from the origin to E'': √[(3 - 0)² + (7 - 0)²] = √(9 + 49) = √58.

- Distance from the origin to D'': √[(2 - 0)² + (1 - 0)²] = √(4 + 1) = √5.

Therefore, the greatest distance from the origin is 10, which corresponds to vertex L'' (6, 8) of the image triangle.

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An airline claims that it rarely loses a passenger's checked luggage, and, if checked luggage is lost, 90% of the luggage is recovered and returned to the owner within 24 hours. A consumer group believes the 24-hour recovery rate of lost luggage is actually lower (worse) than the airline's claim. They surveyed a large random sample of the airline's customers and found that 103 of 122 people who had lost luggage were reunited with the missing items within 24 hours. Is this enough evidence to claim the proportion of people who lost luggage with this airline a

Answers

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

What is a null hypothesis?

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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Which of the following assessment types has the greatest effect on your overall grade?
A. Discussion
B. Quiz
C. Quick check
D. Test

Answers

Question: "Which of the following assessment types has the greatest effect on your overall grade?"

Answer: "Out of all the assessment types, 'tests' have the greatest effect on your overall grade as a student. Hence, Option D would be the best choice."

The  assessment types has the greatest effect on your overall grade is test.

The following information should be considered;

Here the test should have the highest impact on the overall grade. Since discussion, quiz and the quick check does not have much impact than the test.

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50 POINTS?














________________________________________________________

50 POINTS?________________________________________________________

Answers

Answer:

(Check message's below my answer for link to go to the graph on desmos because this is not allowing the link. :( It'sts not anything bad or of that sort, just trust me please.)

3. A = (0,3) B = (4,2) C = (1,-1)

4. A = (-3,0), B = (1,-1) C = (-2,-4)

Step-by-step explanation

Direction of Rotation: Counterclockwise or clockwise direction. Positive rotations are counterclockwise. Negative rotations are clockwise. For example, to rotate the point (2, 5) counterclockwise about the origin by 90 degrees, we use the rule: (x,y)→(−y,x) ( x , y ) → ( − y , x ) .

Answer:

(Check message's below my answer for link to go to the graph on desmos because this is not allowing the link. :( It'sts not anything bad or of that sort, just trust me please.)

3. A = (0,3) B = (4,2) C = (1,-1)

4. A = (-3,0), B = (1,-1) C = (-2,-4)

Step-by-step explanation

Direction of Rotation: Counterclockwise or clockwise direction. Positive rotations are counterclockwise. Negative rotations are clockwise. For example, to rotate the point (2, 5) counterclockwise about the origin by 90 degrees, we use the rule: (x,y)→(−y,x) ( x , y ) → ( − y , x ) .

on what issues did the reformer ignatius of loyola focus

Answers

Ignatius of Loyola, the Spanish priest and theologian who founded the Society of Jesus (Jesuits) in the 16th century, focused on several key issues during the period of the Counter-Reformation.

These issues can be broadly categorized into spiritual, educational, and institutional reforms.

Spiritual Reforms: Ignatius emphasized the importance of personal piety and spiritual discipline. He promoted the practice of spiritual exercises, including meditation, prayer, and self-examination, to cultivate a deep and intimate relationship with God. Ignatius encouraged individuals to reflect on their sins and seek forgiveness through confession and penance.

Educational Reforms: Ignatius recognized the power of education in shaping individuals and society. He established schools and universities to provide a comprehensive education that combined intellectual rigor with spiritual formation. The Jesuits placed great emphasis on academic excellence, encouraging critical thinking, the pursuit of knowledge, and the integration of faith and reason.

Pastoral Reforms: Ignatius focused on improving the quality of pastoral care and religious instruction. He trained his followers to be skilled preachers and spiritual directors, equipping them to guide and support individuals in their spiritual journey. Ignatius also emphasized the importance of catechesis, ensuring that people received proper religious education and understood the teachings of the Catholic Church.

Missionary Work: Ignatius and the Jesuits had a strong missionary zeal. They undertook extensive missionary endeavors, particularly in newly discovered territories during the Age of Exploration. They sought to bring Christianity to non-Christian lands and convert indigenous populations to Catholicism. The Jesuits established missions, schools, and hospitals in various parts of the world, playing a significant role in spreading Catholicism.

Overall, Ignatius of Loyola's reforms aimed to strengthen and revitalize the Catholic Church in response to the challenges posed by the Protestant Reformation. His focus on personal spirituality, education, pastoral care, and missionary work contributed to the renewal and expansion of the Catholic Church during the Counter-Reformation.

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3. How are the areas of the shaded
triangle and the rectangle related?
Select all that apply.
10 in.
4 in.
A The area of the rectangle is twice
the area of the shaded triangle.
The area of the shaded triangle is
twice the area of the rectangle.
The area of the rectangle is
one-half the area of the shaded
triangle.
The area of the shaded triangle is
one-half the area of the rectangle.
The area of the shaded triangle
is the same as the area of the
rectangle.

3. How are the areas of the shadedtriangle and the rectangle related?Select all that apply.10 in.4 in.A

Answers

Based on the given information, the correct statement is: The area of the rectangle is twice the area of the shaded triangle.

What is the rectangle  about?

The shaded triangle is a part of the rectangle, as indicated by the given dimensions of 10 in. and 4 in. The shaded triangle is formed by one of the shorter sides of the rectangle and a diagonal line connecting the opposite corner of the rectangle to the midpoint of that shorter side.

Since the area of the rectangle is given by the formula length × width, the area of the rectangle is 10 in. × 4 in. = 40 square inches.

On the other hand, the area of the shaded triangle is given by the formula 1/2 × base × height, where the base is the length of the shorter side of the rectangle (4 in.) and the height is the length of the longer side of the rectangle (10 in.) divided by 2, since the triangle only occupies half of the height of the rectangle.

So, the area of the shaded triangle is 1/2 × 4 in. × (10 in./2) = 1/2 × 4 in. × 5 in. = 10 square inches.

Comparing the area of the rectangle (40 square inches) to the area of the shaded triangle (10 square inches), we can see that the area of the rectangle is indeed twice the area of the shaded triangle. Therefore, the correct statement is "The area of the rectangle is twice the area of the shaded triangle."

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disease samples from two patients were collected and subjected to serial dilutions before running an elisa immunological assay that produces a color change when antigen is detected in a serum sample. what does it mean if the disease can be detected in samples from one person only at a dilution of 1/5, but the disease can be detected in the other patient at a dilution of 1/5 and 1/100?

Answers

It means that both people have antigens, but the second person has more of them.

Antigens are substances that can trigger an immune response in the body. They are typically proteins that are found on the surface of bacteria, viruses, and other foreign substances that enter the body. When the immune system detects an antigen, it produces antibodies to attack and destroy it. This helps the body to defend itself against infections and other diseases. Antigens can also be used in vaccines to help the body build immunity to a particular disease.

Since there is a color change in the sample in the given case, this indicates that although both individuals possess the antigen, the second individual has a greater quantity or concentration of the antigen in their body. The dilution is 1/5 and 1/100. This is so as the amount of antigen in the sample is still detected even in larger quantities of solution.

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what is the length x of a side of the small inner square?

Answers

The length x of a side of the small inner square can be determined using the properties of similar triangles.

To find the length x, we can set up a proportion between the small inner square and the larger outer square.

Let's denote the side length of the small inner square as s and the side length of the larger outer square as S.

Since the small inner square is completely contained within the larger outer square, the ratio of their side lengths will be the same as the ratio of their corresponding sides.

Therefore, we can set up the following proportion:

s / S = x / (x + 10)

Here, the x + 10 represents the side length of the larger outer square, as it is 10 units longer than the side length of the small inner square.

To solve for x, we can cross-multiply the proportion:

s * (x + 10) = x * S

Expanding the equation:

sx + 10s = xS

Rearranging the equation to isolate x:

sx - xS = -10s

Factoring out the common term x:

x(s - S) = -10s

Dividing both sides by (s - S):

x = -10s / (s - S)

Now, we have an expression for x in terms of s and S.

It's important to note that the given information is insufficient to find the exact value of x without additional measurements or equations. The value of x will depend on the specific dimensions of the small inner square and the larger outer square.

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Given that XY || AC, what is BC if BX = 4, BA = 5, and BY = 6?
A) 5.5
B) 6
C) 7.5
D) 9

Answers

BC   =  7.5

The diagram referred to in the question is attached below

BX   =  4

BA   =  5

BY   =  6

Since XY is parallel to AC, the ratio of BX to BA must be equal to the ratio of BY to BC

To find BC, use the equation below:

BX / BA    =  BY / BC

Substitute BX   =  4, BA   =  5, and BY   =  6 into the equation above

4 / 5   =  6 / BC

0.8   =  6 / BC

Cross multiply

0.8 BC   =   6

Divide both sides by 0.8

BC    =  6/0.8

BC   =   7.5

The measure of BC is 7.5

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Given that XY || AC, what is BC if BX = 4, BA = 5, and BY = 6?A) 5.5B) 6C) 7.5D) 9

Answer:

7.5

Step-by-step explanation:

which is the best type of graph to model the speed of a roller coaster over the full two
minutes it takes to complete the ride?​

Answers

Answer: use a line graph it’s easier

Given / || m. Based only on the fact that lines / and n are parallel, which of the following pairs of angles could you conclude are congruent. 1 and 2. 3 and 6. 4 and 8. 1 and 4.

Given / || m. Based only on the fact that lines / and n are parallel, which of the following pairs of

Answers

The pairs of angles that are congruent angles, based on the fact that lines m and l are parallel, are: A) 1 and 2;   D) 1 and 4.

What are Congruent Angles?

Congruent angles are angles that have the same measure. In other words, if two angles have the same degree of opening, they are considered congruent. Congruent angles are denoted by the symbol ≅.

Given that lines m and l are parallel, therefore, we have:

Angle 1 ≅ angle 2 based on vertical angles theorem,

Angle 1 ≅ angle 4 based on alternate exterior angles theorem.

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Find the probability that a randomly selected fertilized chicken egg takes between 19 and 21 days to hatch.

Answers

Therefore, the probability of a fertilized chicken egg taking between 19 and 21 days to hatch is relatively high. However, it is important to note that there may be some variation in the time it takes for eggs to hatch based on individual circumstances.

The probability that a randomly selected fertilized chicken egg takes between 19 and 21 days to hatch depends on several factors such as the breed of the chicken, temperature, and humidity. However, on average, most chicken eggs take around 21 days to hatch. Therefore, the probability of a fertilized chicken egg taking between 19 and 21 days to hatch is relatively high. However, it is important to note that there may be some variation in the time it takes for eggs to hatch based on individual circumstances.
The probability that a randomly selected fertilized chicken egg takes between 19 and 21 days to hatch depends on several factors such as the breed of the chicken, temperature, and humidity. However, on average, most chicken eggs take around 21 days to hatch.

Therefore, the probability of a fertilized chicken egg taking between 19 and 21 days to hatch is relatively high. However, it is important to note that there may be some variation in the time it takes for eggs to hatch based on individual circumstances.

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Evaluate the function f(x)=6x+2 at the given values of the independent variable and simplify.
a. f(8) b. f(x+6) c. f(−x)
. f(8)= (Simplify your​ answer.)

Answers

\(f(x) = 6x+2\)

A.

To evaluate f(8), we substitute x with 8 in our expression.

\(f(8) = 6*8 + 2\\f(8) = 48 +2\\f(8) = 50\)

Answer: f(8) = 50

B.

To evaluate f(x+6), we do the same but substitute x with x+6 instead.

\(f(x+6) = 6(x+6) + 2\)

Expand the parenthesis by multiplying 6 with x and 6.

\(f(x+6) = 6x + 6*6 + 2\\f(x+6) = 6x+36+2\\f(x+6) = 6x+38\)

Answer: f(x+6) = 6x + 38

C.

Again, we're doing the same thing, just substituting x with -x.

\(f(-x) = 6 * (-x) + 2\\ f(-x)=-6x+2\)

Answer: f(-x) = -6x+2

Answer:

_____________________________________________

\( \longmapsto \: f(x) = 6x + 2\)

_____________________________________________

A. \(f(8) = 6(8) + 2 = 48 + 2 = \boxed{ 50}✓\)

_____________________________________________

B. \(f(x + 6) = 6(x + 6) + 2 \\ = 6x + 36 + 2 \\ = \boxed{ 6x + 38}✓\)

_____________________________________________

C. \(f( - x) = 6( - x) + 2 = \boxed{ - 6x + 2}✓\)

_____________________________________________

for the theoretical exponential distribution with a scale of 7, calculate and report the mean, median, standard deviation, and probability of a wheelchair not needing to be serviced for the 16 weeks of the semester.

Answers

The probability of a wheelchair not needing to be serviced for the 16 weeks of the semester is 0.230.

What's exponential distribution

The exponential distribution is a continuous probability distribution that describes the time between two consecutive events that occur randomly and independently of each other. This distribution is useful in the fields of reliability, physics, and finance, among others.

The exponential distribution has a single parameter known as the scale parameter, which is denoted by lambda (λ) and is typically expressed in terms of the mean time between failures.The mean, median, and standard deviation are three of the most common summary statistics used to describe a probability distribution.

The probability of a wheelchair not needing to be serviced for the 16 weeks of the semester can also be calculated using the exponential distribution.

Mean: The mean of the exponential distribution is equal to 1/λ.λ = 1/7 = 0.143

Therefore, the mean is 1/λ = 1/0.143 = 6.993.

Median: The median of the exponential distribution is equal to ln(2)/λ.λ = 1/7 = 0.143

Therefore, the median is ln(2)/λ = ln(2)/0.143 = 4.837.

Standard deviation: The standard deviation of the exponential distribution is equal to 1/λ.λ = 1/7 = 0.143

Therefore, the standard deviation is 1/λ = 1/0.143 = 6.993.

Probability: P(X > 16) = e^(-λx)λ = 1/7 = 0.143X = 16P(X > 16) = e^(-0.143 * 16) = 0.230

Therefore, the probability of a wheelchair not needing to be serviced for the 16 weeks of the semester is 0.230.

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What is the value of ?

What is the value of ?

Answers

Answer:

65

Step-by-step explanation:

Graph f(x) = 46(0.75). What is the constant percent rate of change of f(x) with respect to x? Does the graph represent growth or decay?
O 75% growth
O 75% decay
O25% growth
O 25% decay

Answers

The constant percent rate of change of f(x) with respect to x is (d) 25% decay

What is the constant percent rate of change of f(x) with respect to x?

The function is given as

f(x) = 46(0.75)^x

The above function is an exponential function

The growth/decay factor is

b = 0.75

The constant rate is then calculated as

Rate = 1 - b

This is because b is less than 1 (i.e. an exponential decay)

So, we have

Rate = 1 - 0.75

Evaluate

Rate = 25%

Hence, the constant percent rate of change of f(x) with respect to x is (d) 25% decay

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Answer: D

Hope this helps :)

help me please i need someone to convert the fraction 9/16 to a finite decimal the first person to answer will get a brainliest person
PLEASE HELP ME.

Answers

Answer: 0.5626

Step-by-step explanation:

just divide 9 by 16

if u and v are in r n , how are uvt and vut related?

Answers

The vectors uvt and vut are related by a simple matrix transposition.

In other words, if we consider u, v, and t as columns of a matrix, say A, then uvt is simply the product of A and the vector [1 0 1] (a column vector with 1's in the first and third rows and 0 in the second row).

On the other hand, vut is the product of the transposed matrix of A (denoted as A^T) and the vector [1 0 1]. Therefore, uvt and vut are related as follows:

vut = (A^T) [1 0 1]

In summary, uvt and vut are related through a matrix transposition, with vut being the product of the transposed matrix of A and the vector [1 0 1].

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A sector of a circle has an arc length of π cm and a central angle of π6 radians. What is the area of the sector?

A. 5π cm²
B. 2π cm²
C. 3π cm²
D. π cm²

Answers

Answer:

C

Step-by-step explanation:

The Area of sector is π cm². so option D is correct.

How to find the area of a sector of a circle?

The sector of a circle is like a slice of a circular pizza.

\(A = \dfrac{x \times \pi r^2}{360} \: \rm unit^2 area\)

Mathematically π  radians = 180 degrees

thus, π /6 radians =  180/6 = 30 degrees

The formula for the length of an arc is;

Ф/360 x 2πr

where Ф, is 30 degrees

And the arc length is pi

so we have

30/360 x 2πr = π

30/360 x 2r = 1

60r = 360

r = 360/60

r = 6 cm

Now the area of a sector is;

Ф/360 x πr^2

30/360 x π36

= π cm^2

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WILL MAKE BRAINLYIST

please answer all of #2

WILL MAKE BRAINLYIST please answer all of #2

Answers

The conic is a parabola, the standard form of the equation is (y - 1)² = (1/3)(x - 2). The vertex is at (2, 1), the focus is at (11/4, 1)and the directrix is x = 5/4.

What is the standard form of the equation?

To classify the conic and determine the standard form of the equation 3y² - x - 6y + 5 = 0, we need to rewrite the equation to the appropriate form.

3y² - 6y = x - 5

Next, complete the square for the y-terms.

3(y² - 2y + 1) = x - 5 + 3

Simplifying:

3(y - 1)² = x - 2

Now, the equation is in the form (y - k)² = 4p(x - h), which represents a parabola.

Comparing this to the given equation, we have:

(y - 1)² = (1/3)(x - 2)

From the equation, we can determine the following information:

1. The vertex is at (h, k) = (2, 1).

2. The parabola opens to the right because the coefficient of x is positive.

3. The focus and directrix can be found using the formula p = 1/(4a), where a is the coefficient of x in the standard form equation. In this case, a = 1/3, so p = 1/(4(1/3)) = 3/4.

4. The focus is located at a distance of p to the right of the vertex. Therefore, the focus is at (h + p, k) = (2 + 3/4, 1) = (11/4, 1).

5.The directrix is a vertical line located at a distance of p to the left of the vertex. So, the directrix is x = h - p = 2 - 3/4 = 5/4.

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WILL MAKE BRAINLYIST please answer all of #2

system of inequalities
y<-5x+2
y>-x-2

Answers

Answer:

answer to the question

graph

system of inequalities y&lt;-5x+2y&gt;-x-2

Please help me !!! !!!!

Please help me !!! !!!!

Answers

Answer:

C?

Step-by-step explanation:

I could be wrong but I think that's the answer

Answer:

I'm not sure but the answer i have is C

State if the two triangles are congruent. If they are, state the congruence property. If they are not congruent, you do not need to write in the property. 10.Congruent? ___________ If so, what property? ________11.Congruent? ___________ If so, what property? ________

State if the two triangles are congruent. If they are, state the congruence property. If they are not

Answers

Answer:

The image for number 10 is shown below as

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

State if the two triangles are congruent. If they are, state the congruence property. If they are not

when a researcher wants to determine if two means of two different questions using the same scale format and answered by the same respondents in the sample are significantly different, they would use what type of test?

Answers

Using concepts of Mean, we got Paired samples test for the difference between two means is the type of test researcher is using.

The test procedure, called the two-sample t-test, is correct when the following conditions are met:

The sampling method for each of the sample is simple random sampling.The samples are to be independent.Each population is at least 20 times greater than its respective sample.The sampling distribution is  normal, which is generally the case if any of the following conditions apply.The population distribution should be  normal.The population data  have some features such as  symmetric, unimodal, without outliers, and the sample size is 15 or less.The population data slightly skewed, unimodal, without outliers, and the sample size is 16 to 40.The sample size is larger than 40, without outliers.

If the sample findings are not in favour, given the null hypothesis, the researcher rejects the null hypothesis. Typically, this will involves comparing the P-value to the significance level, and rejecting null hypothesis when the P-value is smaller than the significance level.

Hence, the test type which researcher is using Paired samples test for the difference between two means.

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