The table below shows the amount paid for different numbers of items.

A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 5. The second column is labeled y with entries 0.50, 1.00, 1.50, 2.50.
Determine if this relationship forms a direct variation. Verify your answer.

Answer:

M ≤ μ (=78)

Here μ denotes the means of the population

And, M denotes the sample mean

Step-by-step explanation:

The computation of the  null hypothesis, in both words and symbols is given below:

Null Hypothesis(H0) is

M ≤ μ (=78)

This means that the study application does not improve the grades

Also

Alternative hypothesis (H1): M> μ

Here μ denotes the means of the population

And, M denotes the sample mean

The tendency to perceive meaningful patterns in random sequences of outcomes often leads us to underestimate the extent to which outcomes result from CHANCE .

The word "chance" describes unpredictability or the unexpected in relation to things like events that happen without a clear reason why and without human intention.

The conclusion is that chance is the tendency of people to recognize different kinds of significant patterns in a random order or sequence in addition to evaluating any kind of outcome. Because chance can also result in an underestimating of a system's conclusion or result, it is crucial to consider it when conducting an investigation.

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Answer:

He will save 6,605$

Step-by-step explanation:

28,750$ - 22,685$ = 6,605$

The predicted cost for a student attending a arts college with 1,500 students and a rank of 4.5 can be calculated using the given regression model: Tuition = 7 + 4*Rank - 0.20*Size + 8*Private - 0.4*LibArts.

In this case, Rank = 4.5, Size = 1.5 (since it's measured in 1,000s), Private = 1 (since it's a private college), and LibArts = 1 (since it's a liberal arts college). Plugging these values into the model, the predicted tuition cost would be: Tuition = 7 + 4*(4.5) - 0.20*(1.5) + 8*1 - 0.4*1 = $26.1 thousand.

If the student switches from her current private liberal arts college to a public, non-liberal arts college with a rank 0.5 lower and 15,000 more students, we need to adjust the Size and Rank variables accordingly. Assuming the student's current college is still private, the new values would be Rank = 4.5 - 0.5 = 4 and Size = 1.5 + 15 = 16.5 (since it's measured in 1,000s). With the new values, we can calculate the predicted tuition cost for the public college: Tuition = 7 + 4*(4) - 0.20*(16.5) + 8*0 - 0.4*0 = $22.4 thousand.

To determine how much money the student saves in tuition, we calculate the difference between the predicted costs of the two colleges: $26.1 thousand - $22.4 thousand = $3.7 thousand. Therefore, by switching from her current private liberal arts college to a public, non-liberal arts college with a lower rank and larger size, the student saves $3.7 thousand in tuition.

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Answer:

she hit the flo'

next thing yk

shawdy got

low

low

low

low

low

low

low

Step-by-step explanation:

The different equations and inequalities representing the region of R³ can be visualized as the combination of various geometrical figures in a 3-dimensional plane, such as a plane, half-space, and slab.

The region of R^3 represented by the given equation(s) or inequalities are as follows:27. z = −2: This is the plane that lies at z = −2. It is parallel to the x-y plane and lies two units below it.28. x = 3: This is the plane that lies at x = 3. It is parallel to the y-z plane and lies three units to the right of it.29. y ⩾ 1: This is the half-space that lies to the right of the line y = 1. It includes all points whose y-coordinate is greater than or equal to 1.30. x < 4: This is the half-space that lies to the left of the line x = 4. It includes all points whose x-coordinate is less than 4.31. −1 ⩽ x ⩽ 2: This is the slab that lies between the planes x = −1 and x = 2. It includes all points whose x-coordinate lies between −1 and 2.32. z = y: This is the plane that lies at y = z. It includes all points whose y-coordinate is equal to their z-coordinate.  Explanation:To explain the given region of R³, we can conclude that the region of R³ represented by the equation(s) or inequalities, is a combination of different geometrical figures in a 3-dimensional plane, which includes plane, half-space, slab, etc.27. z = −2: Plane, which is parallel to the x-y plane and lies two units below it.28. x = 3: Plane, which is parallel to the y-z plane and lies three units to the right of it.29. y ⩾ 1: Half-space, which is to the right of the line y = 1 and includes all points whose y-coordinate is greater than or equal to 1.30. x < 4: Half-space, which is to the left of the line x = 4 and includes all points whose x-coordinate is less than 4.31. −1 ⩽ x ⩽ 2: Slab, which is between the planes x = −1 and x = 2 and includes all points whose x-coordinate lies between −1 and 2.32. z = y: Plane, which includes all points whose y-coordinate is equal to their z-coordinate.

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Answer:

ye s1.8x10-4 is greater than 7.2x10-1

Step-by-step explanation:

The number 1.8*10⁻⁴ is smaller, not larger than 7.2*10⁻¹

We have two numbers in scientific notation, these are:

1.8*10⁻⁴

7.2*10⁻¹

We want to see if the first one is larger than the second one. This is trivial to notices, because the exponent in the first number is 3 orders of magnitude smaller than the other exponent, then the first number is smaller than the second, not larger.

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By evaluating the given function we will get the complete table is:

x: -2  |  -1  | 0 |  1  | 2

y: -11 |  0  |  5 | -2 |  -27

Here we have the function:

y = -x³ - 6x² + 5

and we want to compete the given table, to do so, we need to evaluate the function in the given values of x.

We will get that:

A is the value when we evaluate in x = -2, so we will get:

A = -(-2)³ - 6(-2)² + 5

A = 8 - 24 + 5 = -11

B = -0³ - 6*0² + 5 = 5

C = -2³ - 6*2² + 5

C = -8 - 24 + 5 = -27

Then the complete table is:

x: -2  |  -1  | 0 |  1  | 2

y: -11 |  0  |  5 | -2 |  -27

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Answer: A = \(-\frac{13}{18} - \frac{9}{-14}\)

                  =>(x7) \(-\frac{13}{18} + \frac{9}{14}\)  (x9)

                  => \(\frac{-91+81}{126}\)

                  => \(\frac{-10}{126}\) (÷2)

                  => \(-\frac{5}{63}\)

B = \(-\frac{17}{28} + \frac{15}{36}\) (÷3)

   =>(x3) \(-\frac{17}{28} + \frac{5}{12}\) (x7)

   => \(-\frac{51}{84} + \frac{35}{84}\)

   => \(\frac{-51+35}{84}\)

   => \(\frac{-16}{84}\) (÷4)

   => \(-\frac{4}{21}\)

Line perpendicular to a given line is = 1/m

To find m, use m =y2-y1/x2-x1 formula

m = (8-(-3))/(-7-4)

m = 11/-11,

m = -1

Use y= mx+c to find equation of line

Plug in a pair of values,

-3= -1(4)+ c

c= 1

Thus, equation is:

y = -x+1

Equation of line perpendicular to this line is:

y= x+1

Hope it helps :)

Pls mark it as Brainliest :)

Answer:

1 dollar 75 cents or $1.75

Step-by-step explanation:

Conduct additional surveys to increase the total number of responses.

Remove duplicates from the dataset to eliminate skewing of results

Use caution when interpreting the results and consider them exploratory rather than conclusive

Consider using a different methodology for gathering data, such as focus groups or interviews

Adjust the confidence level for the survey results to account for the smaller sample size

Use a different data analysis technique, such as bootstrapping, to account for the limitations of the dataset

Consider using a sample survey method, like stratified sampling or cluster sampling.

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Answer:

The Answer is 36 miles in nine minutes

Answer:

False

Step-by-step explanation:

Number of 8 student tickets were bought.

One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.

Let's start by setting up equations based on the information given in the problem. We know that the group bought a total of 12 movie tickets and spent $120. We also know the cost of adult and student tickets:

Let A be the number of adult tickets and S be the number of student tickets. Then:

A + S = 12 (equation 1)

12A + 9S = 120 (equation 2)

Next, we know that the group bought 3 large drinks and 2 large popcorn, and we know the cost of each:

3(4) + 2(6) = 12 + 12 = 24

So the group spent a total of $24 on drinks and popcorns. We can now substitute equation 1 into equation 2 to solve for S:

12A + 9S = 120

12(12 - S) + 9S = 120 (substituting A + S = 12)

144 - 12S + 9S = 120

-3S = -24

S = 8

Therefore, the group bought 8 student tickets

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Polar form of complex numbers is z=a+bi is

z = r(cosθ + i sinθ) . So, first find the absolute value of r and then argument θ. Polar form of given expression are

a) 7(√3/2 + i/2 )

b) 7(√3/2 - i/2)

c) 14(√3/2 + i/2)

d) 14(√3/2 - i/2)

The polar form of complex numbers is a different way of representing complex numbers than the orthogonal form. Complex numbers are usually represented in the form z = x+iy. where "i" is an imaginary number. But in polar form, complex numbers are represented as a combination of modulus and argument.

Problems Algebra Convert to polar form

a) 7(cos(30°) + i sin(30°))

we simplify each term.

The exact value of cos(30°) = √3/2

=> 7((√3/2) + i sin(30°))

The exact value of sin(30°) = 1/2

=> 7(√3/2 + i/2 )

Combine all values we get, 7(√3/2 + i/2 )

7(cos(330°) + i sin(330°))

Using quadrant system

b) cos(330°) = cos(360°- 30°) = cos 30° = √3/2

sin(330°) = sin(360°- 30°) = - sin 30° = -1/2

so, 7 ((√3/2) + i(-1/2))

= 7√3/2 - 7i/2 = 7(√3/2 - i/2)

c) 14(cos(30°) + i sin(30°))

= 14 ((√3/2) + i (1/2)) = 14√3/2 + 14i/2=14(√3/2 - i/2)

d) 14(cos(330°) + i sin(330°))

= 14 (√3/2) + 14i(-1/2) = 14√3/2 - 14i/2

= 14(√3/2 - i/2)

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Answer:

14(cos(330o) + i sin(330o))

Step-by-step explanation:

Answer:

The area of the parallelogram is 20 unit²

Step-by-step explanation:

We have that the area of a parallelogram = Base length, l × Height, h

The length of the base, l = √((5 - 0)² + (-2 - (-2))²) = 5

Given that the base of the parallelogram is parallel with to the x-axis, we have that the height is the difference between the a higher and a lower y-coordinate as follows;

h = y₃ - y₁ =  2 - (-2) = 2 + 2 = 4

Therefore, the area of the parallelogram, A = l × h = 4 × 5 = 20 unit².

Answer: x = 500

Step-by-step explanation:

1. You turn it into 30 + 0.05x = 60

2. Subtract 30 from both sides to get 0.05x = 30

3. Then divide 30 by 0.05 and get 600

4. Write down x = 600

1. Formulate a research question or hypothesis.
2. Design a study or experiment to test the hypothesis.
3. Evaluate the significance and implications of the findings in relation to the research question or hypothesis.


1. Define the research question or hypothesis.
2. Design the experiment and choose appropriate methods.
3. Select participants or samples.
4. Conduct the experiment and collect data.
5. Analyze the data using statistical methods.
6. Interpret the results in the context of the research question.
7. Draw conclusions and discuss the implications of the findings.
8. Report the results in a clear and organized manner, including any limitations of the study.

This sequence ensures that the experimental study follows a systematic and logical approach, which helps to maintain the validity and reliability of the findings.\

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Answer:

It’s going to be b

Step-by-step explanation:

Because add then then divide then put the x on top and simplify then and then subtract

Answer:

53.75

Step-by-step explanation:

Weirdly it is quite a big number. Just either use a calculator to get the answer, and to double check multiply the answer (A.K.A 0.8 * 53.75) and it should show up as your total, which is 43.0. So answer is 53.75. Hope this helps. Have a great day. :)

Answer:

Step-by-step explanation:

Maybe 8 feet

Answer:

19

Step-by-step explanation:

4 and 6 has a two- foot difference so if the tree is 21 you do 21-2=19

Answer: X 0 1 2 3 4 5 6 7 8 P(X=k) 0.05 0.07 0.13 0.12 0.20 0.25 0.07 0.03 0.08  the probability that more than 5 patients arrive at the hospital

What is the probability that more than 5 patients arrive at the hospital with flu-like symptoms between 12:00pm and 12:20pm?

Step-by-step explanation:

Group of answer choices

A. 0.43

B. 0.18

C. 0.82

D. 1

Part two of the question:

using the same information as stated before,

Match the probability statements with the correct probabilities.

(choose one answer)

The probability that X is less than or equal to 5.

A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52

The probability that X is greater than 7.

A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52

The probability that X is between 3 (noninclusive) and 7 (noninclusive).

A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52

The probability that no patients arrive in that interval.

A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52

Answer:

adding and subtracting, its a inverse operation. another would be multiplication and division

Step-by-step explanation:

The graph of constant of proportionality is determined and attached with a green check on the mark box

The ratio between two quantities that are directly proportional is the constant of proportionality.

When two quantities grow and shrink at the same rate, they are directly proportional. When y and x are two values that are directly proportional to one another, the proportionality constant k is defined as k=y/x.

The equation shows that y = kx and the y intercept is zero, because of this the graph will start from the origin

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Answer: B

Step-by-step explanation:

To know if the graph is a function, you can use the vertical line test. When you apply the vertical line test, you notice that the line only goes through one point. Therefore, this graph is a function.

the answer

155

324

5/9 (87/3(1/12)= 155/324

Answer:

multiply the probability of the first event by the second.

Step-by-step explanation:

Use the specific multiplication rule formula. Just multiply the probability of the first event by the second. For example, if the probability of event A is 2/9 and the probability of event B is 3/9 then the probability of both events happening at the same time is (2/9)*(3/9) = 6/81 = 2/27.

Answer:

\(\frac{1}{26} * \frac{1}{26} = \frac{1}{676} = .00148.\)

Step-by-step explanation:

Multiply the probability of P by the probability of Q.

In which the probability of P is equal to \(\frac{R}{Total NumberOf LettersInAlphabet} = \frac{1}{26}\)

In which the probability of Q is equal to \(\frac{P}{Total NumberOf LettersInAlphabet} = \frac{1}{26}\)

There's a 1 in 676 chance that you'd randomly pick R, put the tile back in, and then pick P in a sack of 26 letters of the latin alphabet.