For a one-tailed dependent samples t-Test, what specific critical value do we need to overcome at the p < .05 level for a study with 30 participants?

1.701

1.699

1.698

1.69

None of the above

Answer:

essentially lesser than the average person

Step-by-step explanation:

because you are you really good at it for you and

The quadrature formula for the natural cubic spline with evenly spaced knots becomes I = 2h(y0 + 2y1 + 2y2 + ⋯ + 2yn-1 + yn) - (2/4)h^3(k0 + k1 + k2 + ⋯ + kn-1 + kn), where h is the distance between the knots and ki = yi''.

To show that if y = f(x) is approximated by a natural cubic spline with evenly spaced knots, the quadrature formula becomes I = 2h(y0 + 2y1 + 2y2 + ⋯ + 2yn-1 + yn) - (2/4)h^3(k0 + 2k1 + k2 + ⋯ + 2kn-1 + kn), where h is the distance between the knots and ki = yi''.

The natural cubic spline interpolates the function f(x) using piecewise cubic polynomials between each pair of adjacent knots. Let's denote the spline functions as Si(x) for i = 0 to n-1, where Si(x) is defined on the interval [xi, xi+1].

The composite trapezoidal rule is used to approximate the integral of f(x) over each interval [xi, xi+1]. It is given by the formula:

Ti = h/2 * (yi + yi+1)

where Ti represents the approximation of the integral over the interval [xi, xi+1].

Summing up the trapezoidal approximations over all intervals, we get:

I = T0 + T1 + T2 + ⋯ + Tn-1

 = (h/2) * (y0 + y1) + (h/2) * (y1 + y2) + ⋯ + (h/2) * (yn-1 + yn)

 = h/2 * (y0 + 2y1 + 2y2 + ⋯ + 2yn-1 + yn)

Now, let's consider the correction term for curvature. The curvature term measures the second derivative of the spline functions at each knot. Using the notation ki = yi'', we have:

C = (2/4)h^3 * (k0 + k1 + k2 + ⋯ + kn-1 + kn)

Adding the curvature correction term to the trapezoidal approximation, we obtain the final quadrature formula:

I = h/2 * (y0 + 2y1 + 2y2 + ⋯ + 2yn-1 + yn) - (2/4)h^3 * (k0 + k1 + k2 + ⋯ + kn-1 + kn)

This formula represents the integration approximation using the natural cubic spline with evenly spaced knots. The first part corresponds to the composite trapezoidal rule, and the second part provides a correction for the curvature of the spline.

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(a) The expression under the conditions sin(θ - Ф) is  (5√(91) - 36) / 130.

(b)The expression under the conditions sin(θ + Ф)  is 7√5/85.

8.To evaluate the expression sin(θ - Ф), we need to use the the trigonometric identities:

sin(θ - Ф) = sin(θ) × cos(Ф) - cos(θ) × sin(Ф)

tan(θ) = 5/12 (in Quadrant III)

sin(Ф) = -3/10 (in Quadrant IV)

From the given information, we can determine the values of cos(theta) and cos(Ф) using the Pythagorean identity:

cos(θ) = 1 / √(1 + tan²(θ)) cos(Ф)

= √(1 - sin²(Ф))

Let's calculate these values:

cos(θ) = 1 / √(1 + (5/12)²)

= 12 / √(169)

= 12 / 13 cos(Ф)

= √(1 - (-3/10)²)

= √(1 - 9/100)

= √(91/100)

= √(91) / 10

Now we can substitute the values into the expression sin(θ - Ф):

sin(θ - Ф) = sin(θ) × cos(Ф) - cos(θ) × sin(Ф)

= (sin(θ) × cos(Ф)) - (cos(θ) × sin(Ф))

= (5/13) × (√(91)/10) - (12/13) × (-3/10)

= (5√(91) - 36) / 130

Therefore, sin(θ - Ф) = (5√(91) - 36) / 130.

9.To evaluate the expression sin(θ + Ф), we can use the trigonometric identities:

sin(θ + Ф) = sin(θ) × cos(Ф) + cos(θ) × sin(Ф)

sin(θ) = 8/17 (in Quadrant I)

cos(Ф) = -√5/5 (in Quadrant II)

We can determine the value of cos(θ) using the Pythagorean identity:

cos(θ) = √(1 - sin²(θ))

= √(1 - (8/17)²)

= √(1 - 64/289)

= √(225/289)

= 15/17

Now we can substitute the values into the expression sin(θ + Ф):

sin(θ + Ф) = sin(θ) × cos(Ф) + cos(θ) × sin(Ф)

= (8/17) ×(-√5/5) + (15/17) × (√5/5)

= -8√5/85 + 15√5/85

= 7√5/85

Therefore, sin(θ + Ф) = 7√5/85.

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Answer:

7 is the correct answer here.

Answer:

I think it's the number is 50

Answer:

50

Explanation:

Let's say the missing number is N

Solve for n by simplifying both sides of the equation, then isolating the variable

So n=50 basically 5 is 1/10 of 50

A time I categorized quantities in math was actually when I wanted to get the names of students and the number of both the males and females. I had to categorize them into their different genders.

Categorization is actually known to be a way of placing or grouping items or things into categories, groups or classes. Categorizing things makes it easy to identify data and also to process data properly.

When I placed things in categories, it was easy for me locate them and also get to know the number of males and females available in the class.

When I was categorizing, I felt I needed additional categorizing. I felt like adding the "Date of Birth" category for all the students. I also felt like adding their "State of Origin".

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The indeterminant form to which the L'Hopital's Rule can be applied are 0/0 and ∞/∞ , the correct options are (d) and (f) .

L'Hopital's Rule in calculus is used to evaluate weird limits that result in indeterminate forms that are 0/0, ∞/∞ .  These types of limits

(a) cannot be calculated by direct substitution of limit and/or

(b) can be evaluated but using a very long procedure .

that means if \(\lim_{x \to a} \frac{f(x)}{g(x)}\) = 0/0  or ∞/∞ ,

then \(\lim_{x \to a} \frac{f(x)}{g(x)} = \lim_{x \to a} \frac{f'(x)}{g'(x)}\)

In the question ,

there are several indeterminant forms given which are  0.∞ ,  \(0^{0}\) , \(1^{\infty}\) , 0/0 ,  ∞ - ∞ , ∞/∞ ,  ∞⁰  .

By the definition of L'Hopital's Rule , the option that matches with the definition is 0/0 and ∞/∞ ,

So , the correct option is (d) 0/0 and (f) ∞/∞   .

Therefore , The indeterminant form to which the L'Hopital's Rule can be applied are 0/0 and ∞/∞ , the correct options are (d) and (f) .

The given question is incomplete , the complete question is

Select EVERY indeterminate form to which L'Hopital's Rule can be directly applied to (there may be more than one).

(a) 0.∞

(b) \(0^{0}\)

(c) \(1^{\infty}\)

(d) 0/0

(e) ∞ - ∞

(f) ∞/∞

(g) ∞⁰

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The value of the side x is 5√12

In mathematics, there are different trigonometric identities with their ratios.

These identities are;

From the diagram shown, we have information that;

x = the opposite side of the triangle

The value 10√6 is the hypotenuse side

Using the sine identity, we have that;

sin45 = x/10√6

find the value

1/√2 = x/10√6

cross multiply the values

x√2 = 10√6

Divide the values

x = 10√6×√2/2

x = 5√12

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Answer:

The dolphin is -8 feet below sea level

Step-by-step explanation:

Start a -3 feet below sea level. Then subtract the -9 from when the dolphin dives. Then add the +4 feet. And you'll get -8. Hope this helps:)

The dolphin’s final elevation relative to sea level will be -8 feet.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a dolphin is swimming 3 feet below sea level. It dives down 9 feet to catch some fish. Then the dolphin swims 4 feet up toward the surface with its catch.

The elevation of the Dolphin is:-

Elevation = -3 - 9 + 4

Elevation  = -8 feet

Therefore, the dolphin’s final elevation relative to sea level will be -8 feet.

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The expression representing the difference between the areas of the two circles is π[(r₁)² - (r₂)²], where the subscripts (₁ and ₂) indicate the specific radii of the circles.

In the given question, we are asked to find the difference between the areas of two circles with radii denoted as r₁ and r₂.

To calculate the area of a circle, we use the formula A = πr², where A represents the area and r represents the radius of the circle.

In this case, we can calculate the area of the first circle as A₁ = π(r₁)² and the area of the second circle as A₂ = π(r₂)².

To find the difference between the areas, we subtract the area of the second circle from the area of the first circle:

Area difference = A₁ - A₂ = π(r₁)² - π(r₂)²

Factoring out π, we can rewrite it as:

Area difference = π[(r₁)² - (r₂)²]

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(-2, 2) is not a solution to the system of equations y - x = -4 and

-3x - 2y = -10.

Option D is the correct answer.

We have,

We can check whether (-2, 2) is a solution to the system by substituting the values of x and y into both equations and verifying whether they are true.

y - x = -4:

(2) - (-2) = -4

4 = -4

This is false, so (-2, 2) is not a solution to the first equation.

-3x - 2y = -10:

-3(-2) - 2(2) = -10

6 - 4 = -10

2 = -10

This is also false, so (-2, 2) is not a solution to the second equation.

Therefore,

(-2, 2) is not a solution to the system of equations y - x = -4 and

-3x - 2y = -10.

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If you represent the width of the rectangle as x, the length would be represented by 4x.

The perimeter of a rectangle is 2(length + width) and substituting 4x and x in gives you 2(4x+x), which is 10x. Since the perimeter is 30 cm, 10x = 30 cm. x = 3 cm, so the width is 3 cm and the length is 12 cm and the area is 36 cm squared

Let's start by using algebra to represent the problem.

Let x be the width of the rectangle, in centimeters. Then, the length of the rectangle is 4x (since the length is 4 times the width).

The perimeter of a rectangle is the sum of the lengths of all four sides. In this case, the perimeter is given as 30 cm, so we can write:

2(width) + 2(length) = perimeter

2x + 2(4x) = 30

2x + 8x = 30

10x = 30

x = 3

So the width of the rectangle is 3 cm, and the length is 4 times that, or 12 cm.

To find the area of the rectangle, we multiply the width by the length:

Area = width x length

Area = 3 cm x 12 cm

Area = 36 cm^2

Therefore, the area of the rectangle is 36 square centimeters.

Brainliest?

The solved inequality is y is greater than or equal to three tenths

The inequality is represented as negative one fifth is greater than or equal to the product of negative two thirds and a number.

Therefore,

let

the number  = y

- 1 / 5 ≥ - 2 / 3 × y

- 1 / 5 ≥ - 2 / 3  y

multiply  both sides of the inequality by - 3 / 2

Therefore,

- 1 / 5 (- 3 / 2) ≤ y

3 / 10 ≤ y

y ≥ 3 / 10

Therefore,  y is greater than or equal to three tenths

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Answer:

left 2 and 8

right 2 and 4

Step-by-step explanation:

For each equation at the top you substitute the number into x for the numbers on the left

y=2(1)^2

y=2

y=2(2)^2

y=8

y=2^1

y=2

y=2^2

y=4

The values that maximize the volume  for the given height 2 in. using 136 square inches cardboard is given by A = √120 and B = √120.

Height of the box = 2 in.

Box constructed using 136 in.2 of cardboard

To maximize the volume of the box, determine the values of A and B that will result in the maximum volume.

Let begin by calculating the dimensions of the box.

Rectangular piece of cardboard with sides A and B, and we cut out squares of length h from each corner.

Then, fold up the sides to form the box.

The dimensions of the cardboard before cutting are,

Length = A

Width = B

Height = h

           = 2 in.

After cutting and folding, the box dimensions become,

Length = A - 2h

            = A - 4 in.

Width = B - 2h

         = B - 4 in.

Height = h

           = 2 in.

Now, calculate the volume of the box using these dimensions,

Volume = Length × Width × Height

Volume = (A - 4) × (B - 4) × 2

The box is constructed using 136 in² of cardboard,

which means the area of the cardboard used is 136 in².

The area of the cardboard before cutting is equal to the area of the box plus the areas of the cut-out squares.

⇒Area of the cardboard = Area of the box + 4 × Area of the cut-out squares

⇒Area of the cardboard = A × B + 4 × (2²)

Since the area of the cardboard is given as 136 in², we have,

⇒A × B + 4 × (2²) = 136

⇒A × B + 16 = 136

⇒A × B = 120

We now have two equations,

A× B = 120

Volume = (A - 4) × (B - 4) × 2

To find the values of A and B that maximize the volume,

Express one variable in terms of the other using the equation A × B = 120.

Solve this equation for A,

⇒A = 120 / B

Substituting this into the volume equation, we have,

⇒Volume = (120 / B - 4) × (B - 4) × 2

⇒Volume = (120B -4B² + 16B -480 )/B × 2

⇒Volume = (-4B² + 136B + 480)/B × 2

⇒Volume = (-8B² + 272B - 960) /B

⇒Volume = (-8B + 272 - 960/B )

Now, find the maximum value of the volume,

Differentiate the volume equation with respect to B and set it equal to zero to find the critical points,

dV/dB = -8 + 960/B²

dV/dB = 0

⇒-8 + 960/B² = 0

⇒ B = √120 or

The maximum volume occurs when B takes on its maximum possible value, which is when B = √120.

Substituting this value of B back into the equation A × B = 120, we can solve for A,

A×√120 = 120

⇒A = 120 / √120

⇒A = √120

Therefore, the values that maximize the volume are A = √120 and B = √120.

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The above question is incomplete , the complete question is:

A box (with no top) is to be constructed from a piece of cardboard of sides A and B by cutting out squares of length h from the corners and folding up the sides as in the figure below:

Image for A box (with no top) is to be constructed from a piece of cardboard of sides A and B by cutting out squares of

Suppose that the box height is h=2 in. and that it is constructed using 136 in.2 of cardboard (i.e., AB=194). Which values A and B maximize the volume?

Answer:

541m

Step-by-step explanation:

The scale given 1 represents the height of the model and 10000 represents the actual height,place the 5.41 in line with the one and an unknown letter in line with the 10000 inorder to calculate the actual height

1:10000

5.41:x

cross multiply and solve for x,which will be 54100cm

but since the answer has to be in meters convert the 54100cm to a meter by dividing it by 100..

Depreciation is the accountant's estimate of the cost of a capital asset used in the production process, which is allocated over its useful life based on the benefits it generates.

Depreciation is a concept in accounting that recognizes the gradual reduction in value or usefulness of a capital asset over time. When a company purchases a capital asset, such as machinery, equipment, or vehicles, it incurs a cost that is expected to be spread over the asset's useful life. This cost is allocated as an expense called depreciation. The purpose of depreciation is to match the cost of the asset with the benefits it produces during its useful life. The estimation of depreciation involves considering factors like the initial cost of the asset, its expected useful life, and its residual value (the estimated value at the end of its useful life). By spreading the cost of the asset over its useful life, depreciation helps in accurately reflecting the consumption of the asset's value in the production process and provides a more accurate representation of the company's financial performance.

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151 is required random sample

Margin of Error

The margin of error is a statistic expressing the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result would reflect the result of a census of the entire population.

Given,

Margin  of error, ME = 0.08

Confidence Interval, CI = 95%

Z Score against confidence interval = 1.96

We know that,

\(1.96\sqrt{\frac{(0.5)(0.5)}{n} }\)≤ 0.08

From this determine n,

\(\sqrt{\frac{0.25}{n} }\)≤ 0.040816

\(\frac{0.25}{n}\)≤ 0.00166599

150.06≤n

That is 151 is required random sample.

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Answer:

4.5

Step-by-step explanation:

Answer:

x=2 y=3

Step-by-step explanation:

first multiply equation 2 with (+2)

5x-2y=4

6x+2y=18

now add equation 1 to equation 2

11x=22

x=2 now substitute x=2 in equation 1 or 2

5(2)-2y=4 10-2y=4 -2y=4-10 -2y=-6 y=3

Answer:

25% chance a student with a GPA below 3.0 does not enjoy school

Step-by-step explanation:

Because we're only talking about students with a GPA below 3.0, we do not need to worry about those with a GPA above 3.0.

15/60 = x/100

cross multiply

1500=60x

1500/60=60x/60

25=x

Answer:

An engaging digital escape room for students learning to find slope given graphs, tables and coordinate pairs. Students must unlock 5 locks by answering 20 slope questions. Questions are grouped 4 per puzzle, resulting in five 4-letter codes that will unlock all 5 locks.

It's also known as the room of escape, for the Learners who lean digitally can find slopes given graphs, tables, and coordinate pairs. Learners will open 5 locks/questions by solving the 20 slope questions.

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Explanation:

The coefficient is the number just to the left of the variable. So that's why -8 is the coefficient for -8x. This is the variable term while 15 is the constant (it has no variable multiplied with it). The two terms are 15 and -8x since we can write 15-8x as 15+(-8x). Terms are separated by a plus sign.

Answer:

13 :V

Step-by-step explanation:

Answer: 13

Step-by-step explanation:

13 because 13+2=15 which would be the answer.

Answer:

Your answer is

Rate of change = 300%

Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.

I need that urgently.

The state income tax owed on a $60,000 per year salary.

is tax = $2850.

A percentage is a figure or a ratio that is expressed as a fraction of 100. The percentage sign, "%," is used to denote it. The percentage is denoted by the abbreviations "pct" or "pc." In other words, the percentage is measured in terms of 100 and is defined as the proportion of one quantity that is made up of another.

The % has no boundaries. It implies that they are dimensionless numbers. When we state a number is 60% of something, we are implying that it is 60% of everything. Even fractional versions, like 0.56% or 0.87%, can be used to express it. Students' exam scores in any subject are calculated as a percentage. For instance, Pooja received a 78% on his exam.

Tax slab is as follows:-

0 - 10,000                  =   3%

10,001 - 50,000         =    5%

50,001 - 100,000       =   5.5%

So total salary = $60000

Till $10000 tax deduction will be 3%

So, $10000 * 0.03 = $300

Then from $10,001 - $50,000 tax deduction will be 5%

Hence, the tax deduction will be $40000 * 0.05 = $2000

And from $50,001 - $100,000 tax deduction will be 5.5%

Only $10000 will be available for tax deduction

so, $10000 * 0.055 = 550

Hence total tax deduction will be $2850.

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Answer:

(0,-1)

Step-by-step explanation:

Graph the line using the slope and the y intercept

y=mx+b form: y=3/4x-1

Answer:

(0,-1) (1.333, 0)

Step-by-step explanation:

Answer:

Step-by-step explanation:

-31

Answer:

-31

Step-by-step explanation:

just enter -5 into x and solve