What is the confidence level when the level of significance is 0. 07?.

Answer:

5x-3= x=5-3= 2=2x

then, 6×2x =12x

Answer:

The equation in slope-intercept form is:

\(y=\frac{1}{3}x+3\)

So the second option is the correct one.

Step-by-step explanation:

Step 1: Identify the gradient

The perpendicular line's equation is given as:

\(y=-3x+4\)

This equation is in the form of:

\(y=mx+b\)

Upon comparing the \(x\) components of both equations, we get\(-3x=mx\\\text{Remove the}~ x~ \text{from both sides:}\\-3=m\\m=-3\)

So, the gradient of this 'reference' equation is -3.

The equation we need to find is perpendicular to this 'reference' equation.

So, its gradient should be the negative reciprocal of the gradient of the 'reference' equation.

The negative reciprocal of -3 is:

\(-\frac{1}{(-3)}\\=\frac{1}{3}\)

So, the gradient of our equation is \(\frac{1}{3}\).

Step 2: Create the equation:

The equation crosses the x-axis at -9, which means its y-coordinate is 0 (at x-axis, y=0) ,so its coordinate is \((-9,0)\).

The formula for an equation is:

\(y-y_{1}=m(x-x_{1})\)

The coordinate \((x_{1},y_{1})\) is \((-9,0)\), and the gradient (\(m\)) is \(\frac{1}{3}\).

Substitute the values into the equation:

\(y-y_{1}=m(x-x_{1})\\y-0=\frac{1}{3}(x-(-9))\\\\\text{Simplify}\\y=\frac{1}{3}(x+9)\)

\(\text{Simplify further}\\y=\frac{1}{3}x+3\)

Since, the slope-intercept form is:

\(y=mx+b\)

We already have our equation in the slope-intercept form.

The function y = \(e^(-x) sin^(-1)(5e^x)\) is a solution of the differential equation y' + y = 5\(e^x\) with the initial condition y(0) = 0.

To check whether the function y = \(e^(-x) sin^(-1)(5e^x)\) is a solution of the differential equation y' + y = 5\(e^x\) with the initial condition y(0) = 0, we need to take the derivative of y and substitute it along with y into the differential equation.

Taking the derivative of y with respect to x, we get:

y' = (\(\frac{ -e^(-x) sin^(-1)(5e^x) + 5e^x}{\sqrt{1 - 25e^(2x)} }\))

Now substituting y and y' into the differential equation, we get:

y' + y = \((-e^(-x) sin^(-1)(5e^x)\) + \(\frac{5e^x}{\sqrt{1 - 25e^(2x} }\) + \(e^(-x) sin^(-1)(5e^x)\)

Simplifying this expression, we get:

y' + y = 5e^x / sqrt\(\frac{5e^x }{\sqrt{(1 - 25e^(2x)} }\))

Therefore, y is a solution of the differential equation y' + y = 5\(e^x\).

Next, we need to check whether y satisfies the initial condition y(0) = 0. Substituting x = 0 into y, we get:

y(0) =\(e^(0) sin^(-1)(5e^(0))\) = 0

Since y(0) = 0, y satisfies the initial condition.

Therefore, the function y = \(e^(-x) sin^(-1)(5e^x)\) is a solution of the differential equation y' + y = 5\(e^x\) with the initial condition y(0) = 0.

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The consumer's surplus at a price level of p = 7 for the demand equation D(q) = 30 - 0.19q is $4.70.

Consumer's surplus represents the difference between the maximum amount consumers are willing to pay for a good and the actual price they pay. It can be calculated as the area between the demand curve and the price level.

For the given demand equation, when the price level is p = 7, we can substitute this value into the equation and solve for quantity q: D(q) = 30 - 0.19q = 7. By solving this equation, we find q ≈ 115.7895.

To calculate the consumer's surplus, we need to find the area between the demand curve and the price level from q = 0 to q = 115.7895.

Using the formula for the area of a triangle, we have: (1/2) * 7 * 115.7895 = 405.76825.

Therefore, the consumer's surplus at a price level of p = 7 is approximately $4.70.

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Answer:

Youngest child: $2

oldest child: $6

Second oldest: $2.50

Step-by-step explanation:

Youngest child= x

oldest child= 3x

Second oldest: .50+x

x+3x+.50+x=10.5

5x+.50=10.5

    - .50= - .50

5x=10

divided both numbers by 5 and x is equal to 2. So, the youngest child is $2 and you add .50, which is $2.50, and thats for the second child. Last, you do 2 times 3 equals $6 which is the oldest child.

The youngest contributed $1.90, the oldest contributed $5.27, and the second oldest contributed $2.85.

Three children each contributing to their mother's birthday present. The eldest gave three times more than the youngest, while the second oldest contributed 50 cents more. If the gift costs $10.50 which is given in the question.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

Let the youngest sibling contribute the amount of x dollars

As per the given information,

3x + 0.50 x + x + x = 10.50

Apply the addition operation,

4.50x = 10.50

x = 10.50 / 6.50

Apply the division operation to get

x = 1.90

So the youngest sibling contributed = $1.90

The oldest contributed 1.90 × 3 = $5.27

And the second oldest contributed (1.50)1.90= $2.85

Therefore, the youngest contributed $1.90, the oldest contributed $5.27, and the second oldest contributed $2.85.

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Answer and Step-by-step explanation:

As we know that

\(Perimeter\ of\ rectangle = 2\times (length + breadth)\)

Given that

The perimeter of a rectangle is  16  inches i.e length and breadth should be measured by that way in which the perimeter of rectangle comes 16 inches

We considered four way of measuring the perimeter

Length  Width  Perimeter

    1            7           16

    2            6          16

    3            5           16

    4            4           16

Simple it is as we multiply the 8 by 2 it gives 16 inches and the same is displayed above

So there are four combinations of 8 how it came.

Answer:

A

Step-by-step explanation:

Edgenuity

Answer:

open the bracket

(4X+)-3X-2-72+X=X

4X+(-3X)-74+X=X

X-74+X=X

2X-74=X

then collect the term

-74=X-2X

-74=-X

divide by negative every side then you get

X=74

Answer:

20.84

Step-by-step explanation:

$25.36 - $4.52 = $20.84

Hope this helps

The solution to the equation is x = 4

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

A system of linear equations is a collection of at least two linear equations.

In this case, the equation is given as

(x + 20)/2 = 3x

Multiply both sides of the equation by 2

x + 20 = 6x

Subtract x from both sides of the equation

5x = 20

Divide both sides of the equation by 5

x = 4

hence, the solution to the equation is x = 4

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Answer: The correct answer is b

Step-by-step explanation:

25% off $30 is 22.50 and then when you add 7%ax it turns out to be 24.08

A rectangle is drawn at scale to be 7 inches broad and 11.5 inches long. If it is depicted at a scale of 1 in. to 20 ft.

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral.

Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram. The 2D shape of a rectangle consists of 4 sides, 4 corners, and 4 right angles.

A rectangle's diagonal sides are equal in length, with one pair being longer than the other. A rectangle would be referred to as a square if all of its sides were the same size.

P = 2(l+b)

P = 2(7+11.5)

P = 7

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The number of stores located in California at the end of 2016 was 16, so the answer is (d) 16.

What is percentage?

Percentage is a way of expressing a number as a fraction of 100. It is denoted by the symbol "%". Percentages are commonly used to represent part of a whole or a proportion of a quantity.

At the end of 2010, the business had 140 stores in the United States.

By the end of 2016, the number of stores in the United States had increased by 60%. To find out how many stores there were at the end of 2016, we need to add 60% of the original number of stores to 140:

Number of stores at end of 2016 = 140 + 0.6*140 = 140 + 84 = 224

So there were 224 stores in the United States at the end of 2016.

If 1/14 of these stores were located in California, we can calculate the number of stores located in California as follows:

Number of stores in California = (1/14) * 224 = 16

Therefore, the number of stores located in California at the end of 2016 was 16, so the answer is (d) 16.

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Answer:

1) 1.25*3

2) 1.25 multiplied by 3

3) 3.75

Step-by-step explanation:

Answer:

convert the l to volume Wich will give 7200 cm3 .

use the equation for volume which is V=L*B*H where you will replace B,L and leave out H since that's what we are looking for:

V=L*B*H

7200=50*20*H

7200=1000H

7200÷1000=H

therefore H of liquid is 7.2 cm ....to get the height from top subtract the height of liquid from that of a container which will give : 20-7.2= 12.8cm3

there the answer is 12.8

For a second order differential equation t²y'' - 4ty' + 6y = 0, general solution is of the form y(t) = c₁t² + c₂t³, so another solution other than y₁(t) = t² is y₂(t) = t³.

Given solution to t²y'' - 4ty' + 6y = 0 is

y₁(t) = t²

Using the method of reduction of order, let us assume, y₂(t) = v(t)y₁(t) is a solution to t²y'' - 4ty' + 6y = 0 for suitable choice of v(t). So,

y₂ = vt²

y₂' = 2vt + t²v'

y₂'' = 2v + 2tv' + 2tv' + t²v''

y₂'' = 2v + 4tv' + t²v''

Substituting this

t²×( 2v + 4tv' + t²v'') - 4t×(2vt + t²v') + 6×(vt²) = 0

t⁴v'' = 0

v'' = 0

v' = c, c is a constant

v = ct

Therefore, y₂(t) = ct×t²

y₂ (t) = ct³

Therefore general solution will be y(t) = c₁t² + c₂t³

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Answer:

1. In & Out, Jeremiah's Ice cream, and Costco

2. Circus Peanuts, at a local grocer (Publix, Winn-Dixie)

3. Irrationally

Step-by-step explanation:

The length of the line segment is given by the distance equation

D = 7.2 units

The distance of a line between 2 points is always positive and given by the formula

Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )

The distance between A and B is D , and the distance D is

Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

Given data ,

Let the distance of the line segment between two points be D

Now , the equation will be

Let the first point be represented as P ( 1 , 6 )

Let the second point be represented as Q ( 7 , 2 )

Now , distance between P and Q is D , and the distance D is

Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

D = √ ( 1 - 7 )² + ( 6 - 2 )²

On simplifying the equation , we get

D = √ ( -6 )² + ( 4 )²

D = √ ( 36 + 16 )

D = √ 52

D = 7.2 units

Hence , the distance is 7.2 units

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In order to find the total amount of miles Olivia rode in the two days, we just need to add the mixed numbers that represent the amount rode in each day.

So we have:

So Olivia rode 4 3/4 miles (that is, 4.75 miles) in the two days.

Answer:

It will take about 1675 whole 1.14 cm coins to make a straight row of 19.1 m distance

Step-by-step explanation:

1 meter = 100 cm

19.1 meter x 100 = 1910 cm

Divide the total distance by the width of a coin.

1910 cm / 1.14 cm = 1675.43

Round up. It would take 1,676 coins

Answer:

60 degrees

Step-by-step explanation:

A triangle is 180 degrees and there is already 40 and 80 degrees.

So... 180-80-40=60 degrees.

Hope this helps :D

If G is to the right of E, add the total length to point E:

G = -3 + 7 = 4

If G is to the left of E subtract the total length from E:

G = -3 -7 = -10

The possible coordinates are -10 or 4

Answer:

From bottom = 30 cm

Below top = 20 cm

Step-by-step explanation:

Length & breadth of the aquarium = 40cm(as it is square)

Volume of aquarium = l x b x h

volume of aquarium = 40 x 40 x 50 = 80000 cm³

Volume of water = ½ half of aquarium

Volume of water = ½ x 80000 = 40000 cm³

Volume of the solid cube = a³ = (20cm)³ = 8000cm³

Surely, 40000>>>8000, level doesnt reach the top of the tank.

Volume acquired = 40000+8000=48000 cm³

Now, let it has reached reached a height h from the ground(bottom).

Volume = 48000 => lx b x h = 48000

=> 40 x 40 x h = 48000

=> h = 30 cm

The height at which water has reached is 30 cm(from bottom).

Thus, below the top it has reached = total height - 30 cm = 50 - 30 = 20 cm

The value of the missing length is c = √181

From the question, we have the following parameters that can be used in our computation:

Legs = 9 and 10

Hypotenuse = c

The missing length of the triangle can be calculated using the Pythagorean Theorem represented as a​² + b² = c²​

So, we have the following equation

c² = 9² + 10²

Evaluate the sum of squares

c² = 181

Take the square root of both sides

c = √181

Hence, the missing length is c = √181

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Step-by-step explanation:

Step 1: Substitute 8 in the equation.

Step 2: Minus 8 from 15.

Answer:

2(2x + 1)

Step-by-step explanation:

4x = 2 * 2x

2 = 2 * 1

The letters corresponding to the solutions are: x = 10, x = -3/2, x = -1/9, x = -6, x = 10/3 That gives you the letters "joke"1.  5x – 7 = 4x + 3.

To solve for x, we can add 7 to both sides of the equation and subtract 4x from both sides:

5x - 7 + 7 = 4x + 3 + 7

5x = 4x + 10

x = 10

2.  6 + 2x = 7x - 9

To solve for x, we can add 9 to both sides of the equation, subtract 6 from both sides and divide both sides by -1:

6 + 2x + 9 = 7x - 9 + 9

2x = -3

x = -3/2

3. 8x + 1 = -8 - x

To solve for x, we can add x to both sides of the equation and add 8 to both sides:

8x + 1 + x = -8 - x + x + 8

9x + 1 = 0

x = -1/9

4. -5 + 12x = 18x + 7

To solve for x, we can subtract 12x from both sides of the equation and add 5 to both sides:

-5 + 12x - 12x = 18x + 7 - 12x

-5 = 6x + 7

x = -6

5.  -4x + 3 = 5x - 13 - x

To solve for x, we can add x to both sides of the equation, subtract 3 from both sides and divide both sides by -1:

-4x + 3 + x = 5x - 13 - x + x + 3

-3x = -10

x = 10/3

The letters corresponding to the solutions are: x = 10, x = -3/2, x = -1/9, x = -6, x = 10/3

That gives you the letters "joke"

Therefore, The letters corresponding to the solutions are: x = 10, x = -3/2, x = -1/9, x = -6, x = 10/3 That gives you the letters "joke"1.  5x – 7 = 4x + 3.

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Answer:

-8 and 1

Step-by-step explanation:

-8 × 1 = -8

-8 + 1 = -7

The slope represents the rate of change or the average increase in the mortgage amount associated with a one-unit increase in household income.

The slope of a regression line represents the rate of change or the average increase/decrease in the response variable (Y) for every one-unit increase in the predictor variable (X).

Here, the slope of the regression line in the given equation is 4.2.

The interpretation of the slope in this context is that for every one unit increase in the household income (X), the predicted mortgage amount (Y) is expected to increase by 4.2 units.

In other words, the slope represents the rate of change or the average increase in the mortgage amount associated with a one-unit increase in household income.

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The resulting value gives us the value of h at y = -8. In this case, plunging -8 into the expression gives us 253.
The given function is h(y) = 4y^2 - 3. To evaluate h(-8), we substitute y = -8 into the function:

h(-8) = 4(-8)^2 - 3

     = 4(64) - 3

     = 256 - 3

     = 253

Therefore, h(-8) = 253.

We simply substitute -8 into the expression for y in the function and then evaluate the resulting expression. The resulting value gives us the value of h at y = -8. In this case, plugging -8 into the expression gives us 253.
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The most appropriate method for creating an estimate of the percent of district residents who support the building of a new middle school would be  v. A one-sample z-interval for a population proportion.

In this case, the superintendent wants to estimate the proportion (percentage) of district residents who support the building of a new middle school. To achieve this, a random sample of district residents can be selected, and the proportion of residents in the sample who support the new middle school can be calculated.

Since the sample size is relatively large (as it is a large school district), the sampling distribution can be assumed to follow a normal distribution. Therefore, a one-sample z-interval for a population proportion is suitable for estimating the proportion of district residents who support the new middle school.

Using this method, a confidence interval can be constructed around the sample proportion, providing an estimate of the true proportion of district residents who support the new middle school, along with a measure of uncertainty.

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