the graph of y=3x+=4 is

In hypothesis testing, the null hypothesis (H0) is a statement that there is no significant difference between two groups, or that a certain parameter is equal to a specified value. In this case, the null hypothesis is that the mean difference is 0, meaning there is no significant difference between the two groups being compared.

The alternative hypothesis (Ha), on the other hand, is a statement that contradicts the null hypothesis. It can be one-tailed (directional), indicating that the mean difference is greater than or less than 0, or two-tailed (non-directional), indicating that the mean difference is not equal to 0. So, to determine the null and alternative hypotheses in this case, we know that the null hypothesis is that the mean difference is 0. The alternative hypothesis can be either one of the following:
- Ha: The mean difference is not equal to 0 (two-tailed)
- Ha: The mean difference is greater than 0 (one-tailed)
- Ha: The mean difference is less than 0 (one-tailed)

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The intercept value gives the required answer, Hence, the number of rows that had been completed is 12.

Using the linear equation relation , we could compare two equations from the graph as follows :

y = bx + c

27 = 30b + c ___ (1)

22 = 20b + c ___ (2)

subtract (1) from (2) :

5 = 10b

b = 0.5

substitute b = 0.5 into (1)

27 = 30(0.5) + c

27 = 15 + c

c = 27 - 15

c = 12

Therefore, the number of rows that has been completed is 12.

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The angular coordinate, angular velocity, and angular acceleration of the flywheel are: (a) At t = 0, θ = θ0 = 0.5 rad, ω = 0, and α = 12π²θ0 = 23.55 rad/s².

(b) At t = 0.125 s, θ = 0.267 rad, ω = 4.116 rad/s, and α = -69.08 rad/s².

The given equation for the angular displacement of the flywheel is θ=θ0e(-3πcos(4πt)). Here, θ0 = 0.5 rad. To find the angular velocity and angular acceleration, we need to differentiate θ with respect to time.

θ = θ0e(-3πcos(4πt))

ω = dθ/dt = -12π²θ0e(-3πcos(4πt))sin(4πt)

α = d²θ/dt² = -48π³θ0e(-3πcos(4πt))(cos(4πt) - 2)sin(4πt)

Substituting t = 0, we get:

(a) At t = 0, θ = θ0 = 0.5 rad, ω = dθ/dt = 0, and α = d²θ/dt² = 12π²θ0 = 23.55 rad/s².

(b) At t = 0.125 s, θ = 0.267 rad, ω = dθ/dt = 4.116 rad/s, and α = d²θ/dt² = -69.08 rad/s².

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Answer:

Answer:  $ 18.00

Step-by-step explanation:

You have to change 20 into a decimal which is 0.20

Then multiply 15 and 0.20 which equals 3

Then add 15 and 3 together and you should get 18.

I just took a test and got it right so good luck! :)

Answer:

height of the cone = 8 ft

Step-by-step explanation:

A cone has a volume of 96π ft³. The radius of the cone is 6 ft. The height of the cone can be computed below .

The volume of a cone can be represented as follows

volume of a cone = 1/3πr²h

where

r = radius

h = height

volume of a cone = 1/3πr²h

volume = 96π ft³

r = 6 ft

h = ?

96π = 1/3 × π × 6² × h

96π = 1/3 × π × 36 × h

96π = 12πh

divide both sides by 12π

h = 96π/12π

h = 8 ft

height of the cone = 8 ft

To find f(x) such that \(\sf\:f'(x) = \frac{8}{\sqrt{x}} \\\) and f(16) = 74 , we can integrate f'(x) to find f(x) .

Using the power rule of integration, we have:

\( \sf f(x) = \int \frac{8}{\sqrt{x}} dx \\\)

Applying the power rule of integration, we can rewrite the integral as:

\( \sf f(x) = 8 \int x^{-\frac{1}{2}} dx \\\)

Integrating, we get:

\( \sf f(x) = 8 \cdot 2x^{\frac{1}{2}} + C \\\)

Simplifying, we have:

\( \sf f(x) = 16\sqrt{x} + C \\\)

To find the value of C , we use the given condition f(16) = 74 . Substituting x = 16 into the equation, we get:

\( \sf 74 = 16\sqrt{16} + C \\\)

\( \sf 74 = 16 \cdot 4 + C \\\)

\( \sf 74 = 64 + C \\\)

Solving for C we have:

\( \sf C = 74 - 64 \\\)

\( \sf C = 10 \\\)

Therefore, the function f(x) is given by:

\( \sf f(x) = 16\sqrt{x} + 10 \\\)

I hope this helps! Let me know if you have any further questions.

Answer:

to get to 2/3 from 1/12, add 7/12 to 1/12.

Step-by-step explanation:

8/12 is equivalent to 2/3

Answer:

a) P(X=x) = p× (1-p)^(x-1)

b) P(X=3) = 0.081

c) P(X≤5) = 0.40951

d) Mean of X= 10

e) Var(X)= 90

Step-by-step explanation:

This is a question on geometric distribution.

In geometric distribution, we have two possible outcomes for each trial (success or failure) for independent number of binomials series trial. Also the probability of success is constant for each trial.

This discrete probability distribution is represented by the probability density function: f(x) = p× (1-p)^(x-1)

For a random variable with a geometric distribution, we do not know the number of trials we will have = {1, 2, 3, ...}

We stop the trials when we get a success.

From the question, there are 10 numbers

The probability of success = p = 1/10

For the solutions of the question from (a-e), See attachment below.

f(x) = P(X= x)

Where P(X= x) is the probability of X taking on a value x

Answer:

the answer is just -2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

U would divide 4 by -2

Answer: D) -20.99

Step-by-step explanation:

-4.97-2.36+-5.19-8.47 = -20.99

Answer:

Step-by-step explanation:

Answer: 242

Brainliest plsssssss

Answer:

however much the Child's pass is x 3 = Adult Pass cost

Step-by-step explanation:

Answer:

Step-by-step explanation:

diameter = 12 cm

r = 12 ÷2 = 6cm

Volume of cylinder

\(\boxed{Volume=\pi r^{2}h}\)

πr²h = 825.192 cubic cm

3.14 * 6 * 6 * h = 825.192

                   \(h =\dfrac{825.192}{3.14*6*6}\)

                  h = 7.3 cm

Answer:

Height of cylinder is 7.3 cm

Step-by-step explanation:

Given :-

To find :-

Solution:-

Volume of Cylinder = πr²h

825.192 cm³ = 3.14 × 6 × 6 × h

825.192/113.04 = h

7.3 cm = h

Answer:

56

Step-by-step explanation:

48 ounces would feed 6 people and if 16 oz is for two people than 8 oz is for one person. So, 48 plus 8 is 56.

The effect of repeating the phrase “piano moan” in the poem is A. It sets a sad, mournful tone.

It should be noted that in literature, the feeling and emotions of the author is illustrated in the tone.

In this case, the repetition of the words were I

important to show the emotions of the author.

Therefore, the effect of repeating the phrase “piano moan” in the poem is that it sets a sad, mournful tone.

In conclusion, the correct option is A.

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There will be 6.3 pints of blue paint to paint her bedroom walls.

Calculation means when manipulating numbers in a certain way to get an answer.

This question can be solved using a system of equations.

x is the amount of white paint used.

y is the amount of blue paint used.

6.3 pints of blue paint and white paint to paint her bedroom walls.

x + y = 6.3

5 of this amount is white paint, and the rest is blue paint.

The rest is 1- 5 = 4

x + y = 6.3

y/4 + y = 6.3

y + 4y/4 = 6.3

4y = 4 x 6.3

y = 4 x 6.3 /4

y = 6.3

Thus, 6.3 pints of blue paint to paint her bedroom walls.

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The sequence of transformations that will map figure H onto figure H' is: Option B:  the rotation of 180° about the origin, translation of (x + 10, y − 2), and reflection across y = −6.

We are given the coordinates of the hexagon as:

Points of Hexagon H  →  (2,2), (2,6), (6,7), (8,6), (8,2), (6,1)

Points of Hexagon H' →  (2,-8), (2,-4), (4,-3), (8,-4), (8,-8), (4,-9)

The steps that can be used to transform the hexagon H into hexagon H' are:

Step 1 - Translate the hexagon in the positive x-axis direction by a factor of 10.

Step 2 - Translate the graph obtained in the above step by factor 2 in the downward direction.

Step 3 - Rotate the graph obtained in the above step 180 degrees about the origin.

Step 4 - Then take the reflection of the graph obtained in the above step about y = -6. The resulting graph shows the graph of Hexagon H'.

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Answer:

D) 3/25

Step-by-step explanation:

Total number of tiles:

Number of tiles with "E" on it:

Probability of selecting a tile with "E" on it:

Answer choice: D) 3/25

No, AA Criterion should not be called the AAA Criterion, because we need only two angles to be equal to prove the similarity.

According to the AA triangle similarity criterion, two triangles are considered similar if their three angles are identical to one another. Equi-angular triangles are comparable in a nutshell.

Since just two pairs of angles must be equal in order for the third pair to be automatically equal thanks to the angle sum property of triangles, the proper term for this criterion would then be the AAA(Angle-Angle-Angle) criterion. However, we refer to it as the AA criterion instead.

Hence, no, because we need only two angles to be equal to prove the similarity.

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The correct values for a, b, c, d, and e are a = 16, b = 29, c = 24, d = 22, and e = 30 for group of 75 students on asking whether they like Algebra or Geometry.

For the values of a, b, c, d, and e, we can use the information provided in the table. Let's break it down step-by-step:

We are given that a total of 75 math students were surveyed. Therefore, the total number of students should be equal to the sum of the students who like algebra, the students who like geometry, and the students who do not like either subject.

75 = 45 (Likes Algebra) + 53 (Likes Geometry) + 6 (Does Not Like Either)

Simplifying this equation, we have:

75 = 98 + 6

75 = 104

This equation is incorrect, so we can eliminate options c and d.

Now, let's look at the information given for the students who do not like geometry. We know that a + b = 6, where a represents the number of students who like algebra and do not like geometry, and b represents the number of students who do not like algebra and do not like geometry.

Using the correct values for a and b, we have:

16 + b = 6

b = 6 - 16

b = -10

Since we can't have a negative value for the number of students, option a is also incorrect.

The remaining option is option e, where a = 29, b = 16, c = 24, d = 22, and e = 30. Let's verify if these values satisfy all the given conditions.

Likes Algebra: a + c = 29 + 24 = 53 (Matches the given value)

Does Not Like Algebra: b + d = 16 + 22 = 38 (Matches the given value)

Likes Geometry: c + d = 24 + 22 = 46 (Matches the given value)

Does Not Like Geometry: b + e = 16 + 30 = 46 (Matches the given value)

All the values satisfy the given conditions, confirming that option e (a = 29, b = 16, c = 24, d = 22, and e = 30) is the correct answer.

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The three consecutive integers are 10, 11, and 12.

To find three consecutive integers, the sum of whose squares is 65 more than three times the square of the smallest, follow these steps:

1. Let the smallest integer be x. Then, the other two consecutive integers are x + 1 and x + 2.

2. The sum of their squares is x^2 + (x + 1)^2 + (x + 2)^2.

3. The given condition is that this sum is 65 more than three times the square of the smallest integer: x^2 + (x + 1)^2 + (x + 2)^2 = 3x^2 + 65.

4. Simplify the equation:
  x^2 + (x^2 + 2x + 1) + (x^2 + 4x + 4) = 3x^2 + 65

5. Combine like terms:
  3x^2 + 6x + 5 = 3x^2 + 65

6. Subtract 3x^2 from both sides to eliminate the x^2 terms:
  6x + 5 = 65

7. Subtract 5 from both sides:
  6x = 60

8. Divide by 6:
  x = 10

So, the three consecutive integers are 10, 11, and 12.

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Answer: 282. 7 feets

Step-by-step explanation:

Height = 120 ft

θ = 23°

To obtain the distance (d) of plane from airport tower :

Tan θ = h / d

Tan 23 = 120 / d

0.4244748 * d = 120

d = 120 / 0.4244748

d = 282.70229

d = 282.7 feets

Answer:

15.12

Step-by-step explanation:

15.12

It should be noted that when Kara lines up all the 3/4 inch buttons, the total length will be 2 1/4 inches.

From the information, it should be noted that Kara is sorting buttons by length for a craft project.

It should be noted that based on the information, the total length of the 3/4 inch button will be calculated thus:

= 3 × 3/4

It should be noted that there are three buttons having 3/4 inch

= 3 × 3/4.

= 9 / 4

= 2 1/4 inches

Therefore, when Kara lines up all the 3/4 inch buttons, the total length will be 2 1/4 inches.

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Answer:

353.25 miles.

Step-by-step explanation:
multiply 78.5 mph by 4.5 hours

Functions (c) L(1) = C1 + AC and (d) L(1) = C°1 are linear operators on R^n, while functions (a), (b), and (e) do not satisfy the properties of linearity and therefore are not linear operators.

a) L(A) = 1 - 1: This function is not a linear operator because it does not preserve scalar multiplication. Multiplying A by a scalar c would yield L(cA) = c - c, which is not equal to cL(A) = c(1 - 1) = 0.

b) L(A) = 1 + 17: Similar to the previous case, this function is not linear since it fails to preserve scalar multiplication. Multiplying A by a scalar c would result in L(cA) = c + 17, which is not equal to cL(A) = c(1 + 17) = c + 17c.

c) L(1) = C1 + AC: This function is a linear operator since it satisfies both the preservation of addition and scalar multiplication properties. Adding matrices A and B and multiplying the result by scalar c will yield L(A + B) = C(1) + AC + C(1) + BC = L(A) + L(B), and L(cA) = C(1) + cAC = cL(A).

d) L(1) = C°1: This function is a linear operator since it satisfies the properties of linearity. Addition and scalar multiplication are preserved, and L(cA) = C(0)1 = c(C(0)1) = cL(A).

e) L(1) = 1?C: This function is not a linear operator as it does not preserve scalar multiplication. Multiplying A by a scalar c would give L(cA) = 1?(cC), which is not equal to cL(A) = c(1?C).

In summary, functions (c) L(1) = C1 + AC and (d) L(1) = C°1 are linear operators on R^n, while functions (a), (b), and (e) do not satisfy the properties of linearity and therefore are not linear operators.

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