Which of the following is not a strategy for finding P-values with the Student t distribution? Choose the correct answer below. O Use a TI-83/84 Plus calculator to find the P-value rounded to at least 4 decimal places. O Use the table in the book with the appropriate number of degrees of freedom to find a range of values containing the P-value. O Use software such as Minitab, Excel, or STATDISK to find the P-value rounded to at least 4 decimal places. O Use the table in the book to find the P-value rounded to at least 4 decimal places

Answer:

8,960.66

Step-by-step explanation:

In general, the length of the billing cycle is at least 15 days and no longer than 90 days.

The finance charge for a billing cycle is 960.66.

The new opening balance in the following billing cycle is 8,960.66.

The three type of solubility are highly soluble, sparingly soluble or insoluble.

The term solubility is defined as the maximum amount of a substance that will dissolve in a given amount of solvent at a specified temperature

Here we have to major three types of solubility are defined below.

As we all know that Temperature, pressure and the type of bond and forces between the particles are few among them, that are the 3 factors solubility depends on.

According to the concentration of solute dissolves in a solvent, the solutes are categorized into highly soluble, sparingly soluble or insoluble.

Here we have to know that if a concentration of 0.1 g or more of a solute can be dissolved in a 100ml solvent, then it is said to be soluble.

Where as the concentration below 0.1 g is dissolved in the solvent it is said to be sparingly soluble.  

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4x - 6 = x + 9

4x - x = 9 + 6

3x = 15

[tex]x = \frac{15}{3} \\ [/tex]

x = 5 ...

Answer:

[tex]x =5[/tex]

Step-by-step explanation:

[tex]4x - 6=x+9[/tex]

Subtract x from both sides

[tex]4x -6-x=x+9-x[/tex]

[tex]3x-6=9[/tex]

Add 6 to both sides

[tex]3x-6+6=9+6[/tex]

[tex]3x=15[/tex]

Divide both sides by 3

[tex]\frac{3x}{3} = \frac{15}{3}[/tex]

[tex]x = 5[/tex]

The prime factor trees for 16 and 40 could be 2,2,2,2 and 2,2,2,5 respectively and and the common multiple of 16 and 40 could be 2 .

What is prime factor ?

prime factor can be defined as the number which is divisible by that number and the number should be prime.

The prime factor tree for 16 as follows

16 = 2*8 = 2* 2 * 4 = 2*2*2*2

                16

            2         8

                     2    4

                         2     2

The prime factor tree for 40 as follows

40 = 2*20 = 2*2*10 = 2*2*2*5

                40

           2            20

                      2        10

                              2      5

Hence, The prime factor trees for 16 and 40 could be 2,2,2,2 and 2,2,2,5 respectively and the common multiple of 16 and 40 could be 2 .

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Answer: There are three 0s

240 x 25 = 6000 and there are three 0s in 6000

Answer: −2<x<0

Step-by-step explanation: 2<x+4<4 2+−4<x+4+−4<4+−4 −2<x<0

The net of the display consists of one rectangle and two right triangles.  168 ft² is needed to make a display case. Hence option D is the correct option.

What is surface area?

The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

The surface area of the triangular prism is the display area of the glass.

The surface area of a triangular prism consists of one rectangle and two right triangles.

The length of the rectangle is (10ft + 6 ft + 8ft) = 24ft.

The width of the rectangle is 5 ft.

The area of a rectangle is the product of length and width.

The area of the rectangle is 24ft × 5ft = 120 square ft

The length of the base of the triangle is 8 ft and the height is 6ft

The area of the triangle is 1/2 × base × height = 1/2 × 8 × 6 = 24 square ft

The display area is 120 square ft + 2 ×24 square ft = 120 + 48 = 168 ft².

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The cheapest way of buying exactly 7 litres with no extra is buying 500 ml bottle for £1.40

The amount of buying 7 litres of orange juice at the cheapest buy is £2.52

500 ml bottle for £1.40

Convert ml to liters:

500 ml = 0.5 liters

Unit rate = 0.5/1.40

= £0.36 per liter

2 litre carton for £2.50

Unit rate = 2/2.50

= £0.8 per liter

2 cartons for £4.50

Unit rate = 2/4.50

= $0.44 per carton

3 litre carton for £3.50

Unit rate = 3 / 3.50

= £0.86 per liter

The cheapest buy per liter of the orange juice is buying 500 ml bottle for £1.40.

Therefore, the cost of 7 liters at the cheapest buy

= £0.36 per liter × 7

= £2.52

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The equation that represents the situation is

2p + 194.99 = 284.97

Option B is the correct answer.

The price of each game is $44.99.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Game system price = $194.99

Total price = $284.97

194.99 + 2 games = $284.97

Games = p

Now,

The price of each game.

194.99 + 2p = 284.97
2p = 284.97 - 194.99

2p = 89.98

p = 44.99

Thus,

The equation is 194.99 + 2p = 284.97.
The price of each game is $44.99.

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A system that has no solution is classified as inconsistent.

A system that has one and only one solution is classified as  independent

The system of equation graphed is consistent and independent.

The equations given by the graph are expressed as;

3x - 4y = 32

3x + 5y = 24

Now, if we subtract eq 1 from eq 2, we will get;

5y - (-4y) = 24 - 32

9y = -8

y = -8/9

Put 8/9 for y in eq 2 to get;

3x + 5(8/9) = 24

3x = 24 - 40/9

3x = 176/9

x = 176/27

Now, to classify solution to equations, we say that;

1) When there is no solution, it is inconsistent.

2) When there is one and only one solution, it is independent

Since we have a solution and only one solution, then we can say that the system of equation graphed is consistent and independent.

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Answer:

An Ideal solution follows the Raoult's law strictly

A Real solution shows deviation from the Raoult's law.

Step-by-step explanation:

XY = 6 units  is the length of XY in AXYZ .

What is a right-angle triangle, exactly?

A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees. The combined angles of the other two are 90 degrees.

                         Perpendicular and the triangle's base make up the sides that the right angle is formed from. The hypotenuse, or third side, is the longest of the three. It is also known as the hypotenuse.

using the sine ratio in the right triangle and the exact value

  sin30° = 1/2, then

    sin30° = XY/XZ = XY/12 =  1/2  ( cross - multiply)

     2XY = 12  ( divide both sides by 2 )

        XY = 6

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The complete question is -

Use right triangle XYZ to complete the following parts.

Part A

12

XY =

30°

? Question

What is the length of XY in AXYZ?

Type the correct answer in the box. Use numerals instead of words.

units

The solution of the given system of equations is x = -7/3 and y = 7.

The given system of equations is given as,

3x + 2y = 7

y = 3x + 11

To solve this system of equations, we need to eliminate one of the variables. We can eliminate y by subtracting the second equation from the first.

3x + 2y = 7

y = 3x + 11

⇒ 3x + 2y - y = 7 - 11

⇒ 3x + 2y - 3x - 11 = -4

⇒ 2y - 11 = -4

⇒ 2y = -4 + 11

⇒ 2y = 7

Now, substitute the value of y in the first equation to find the value of x.

3x + 2(7) = 7

⇒ 3x + 14 = 7

⇒ 3x = 7 - 14

⇒ 3x = -7

⇒ x = -7/3

Therefore, the solution of the given system of equations is x = -7/3 and y = 7.

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The range for the following set of scores: 6, 12, 9, 17, 11, 4, and 14 is 13.

In statistics, the range is a measure of dispersion that describes the difference between the largest and smallest values in a dataset. The range is used to describe the spread of a dataset and can be a simple way to identify outliers or unusually large or small values. It is a simple measure of statistical dispersion and is most useful for interval and ratio data.

It is calculated by subtracting the minimum value from the maximum value among the data set.

range = maximum value - minimum value

Plug in the necessary values and solve for the range.

range = 17 - 4

range = 13

Therefore, the range for the following set of scores is 13.

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Each will get 3/5 cups of nuts by ratio and proportion concepts.

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).

We have to divide total nuts within 5 people.

so,

3 3/5 : 5

but first convert,

3 3/5 = 15/4

substitute,

15/4 : 5 = 15/20cups of nuts

simplify,

3/5 cups

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[tex]T=2\pi \sqrt{\cfrac{L}{g}}\implies \cfrac{T}{2\pi }=\sqrt{\cfrac{L}{g}}\implies \cfrac{T}{2\pi }=\cfrac{\sqrt{L}}{\sqrt{g}}\implies T\sqrt{g}=2\pi \sqrt{L} \\\\\\ \sqrt{g}=\cfrac{2\pi \sqrt{L}}{T}\implies (\sqrt{g})^2=\left( \cfrac{2\pi \sqrt{L}}{T} \right)^2\implies g=\left( \cfrac{2\pi \sqrt{L}}{T} \right)^2 \\\\\\ g=\cfrac{(2\pi \sqrt{L})^2}{(T)^2}\implies g=\cfrac{4\pi ^2L}{T^2}[/tex]

Angle 1 and Angle 4 are alternate internal angles, Angle 1 also equals 51.Angles 1 and 2 of the rhombus are bisector by 51 and 2, respectively.

A parallelogram has a unique variation known as a rhombus. A rhombus has opposing sides that are parallel and opposing angles that are equal. A rhombus also has equal-length sides and diagonals that are at right angles to one another. The term "rhombus" can also refer to a diamond or rhombus. A rhombus has equal opposite angles. At a 90° angle, the diagonals split in half. 180 degrees is the sum of adjacent angles.

given

There is a line that passes through the parallel line; the alternate interior angles are 3 and 39.

The alternative interior angles are similar, hence Angle 3 = 39.

Since the upper left triangle is a triangle, angles 3, 4, and the center angle all add up to 180 degrees. The angle in the middle is 90 degrees. hence, we may locate angle 4.

angle 4=51.

Since Angle 1 and Angle 4 are alternate internal angles, Angle 1 also equals 51.Angles 1 and 2 of the rhombus are bisector by 51 and 2, respectively.

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Answer:3/4 is the answer

Step-by-step explanation:

Answer:(s)

1/4  -  7/1  =  - 27/4  

Decimal:   - 6.75

Mixed number:  - 6 3/4

Step-by-step explanation:

1/4  -  7/1  =  - 27/4  or - 6.75 or  - 6 3/4

LCM:   4, 1  = 4

Adjust Fraction Based On LCM:

1/4 - 28/4

Apply The Fraction Rule:

a/c - b/c  =  a - b/c

1 - 28/4

Subtract the numbers:

1  -  28   =  - 27

             =  -27/4

Apply Fraction Rule:

- a/b  =  - a/b

Thus:

1/4 - 7/1  =  - 27/4  

Decimal:   - 6.75

Mixed Number Form  - 6 3/4

I hope that helps you!!!

A statement 'The lateral surface area of cone A is exactly equal to the lateral surface area of cylinder B.' is True.

We know that the formula for the lateral surface area of cone:

Area = π × radius × slant height

and the formula for the lateral surface area of cylinder:

Area = 2π × (radius) × (height)

Here we have been given a cone A with radius r and slant height 2h.

Using the above formula, the lateral surface area of cone A would be:

A1 =  π × r × 2h

A1 =  2π × r × h                    ..................(1)

Also, we have been given a cylinder B with radius r and height h.

Using the above formula, the lateral surface area of cylinder A would be:  

A2 =  2π × r × h                   ..............(2)

From (1) and (2) we can observe that,

A1 = A2

Therefore, the lateral surface area of cone A is exactly equal to the lateral surface area of cylinder B.

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Answer:

x= 43

Step-by-step explanation:

The angles are corresponding angles which mean that they are equal to each other.

3x + 5 = 134  Subtract 5 from both sides

3x + 5 - 5 = 134 - 5

3x = 129  Divide both sides by 3

[tex]\frac{3x}{3}[/tex] = [tex]\frac{129}{3}[/tex]

x = 43

A shape with 1 trillion sides is called a teragon. A teragon is a polygon that has an infinite number of sides, the most famous example of teragon is the Koch snowflake.

Typically, a teragon will be bounded by one or more self-similar fractal curves, which are formed by replacing each line segment in an initial figure with multiple interconnected parts, then substituting each of those parts with the same pattern of segments, then repeating the process an infinite number of times for every line segment in the figure.

Another example of a teragon is the horned triangle which is formed by pitching a series of smaller triangles on one corner of an equilateral triangle. It is also an example of a reptile, or shape that can be completely examined into smaller copies of itself.

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Answer:

x = 2

y = 4

Step-by-step explanation:

The standard form of the function is f(x) = -x² +4x, The vertex form isf(x) = -(x-2)² + 4

What is a function?

A function from a set X to a set Y assigns exactly one element of Y to each element of X. The set X is known as the function's domain, and the set Y is known as the function's codomain.

Given table is

x           f(x)

-1            -5

0             0

1               3

2              4

3               3

4                0

Find the difference to find the degree of the given function

f(x)                 -5           0           3            4         3          0

1st difference        5           3           1            -1          -3

2nd difference              -2          -2        -2          -2

The degree of the function is 2.

The general form of a second-degree function is

f(x) = ax²+bx+c

Putting x = 0 and f(0) =0 in f(x) = ax²+bx+c:

f(0) = a×0²+b×0+c

0 = c

Now putting x = 1 and f(1) =3 in f(x) = ax²+bx+c:

f(1) = a×1²+b×1+0    [since c=0]

3 = a + b ....(i)

Now putting x = 2 and f(2) =4 in f(x) = ax²+bx+c:

f(2) = a×2²+b×2+0    [since c=0]

4 = 4a + 2b ....(ii)

Solve equations (i) and (ii) by using the elimination method:

Multiply equation (i) by 2 and subtract it from (ii)

4a + 2b  = 4

2a  + 2b  = 6

(-)   (-)         (-)

__________

2a = -2

a = -1

Putting a = -1 in equation (i):

-1 + b = 3

b = 3+1

b = 4

The function is f(x) = -x² +4x

Rewrite the given function in vertex form:

f(x) = -(x² - 4x +4-4)

f(x) = -(x-2)² + 4

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Answer:

Step-by-step explanation:

A karate studio offers a 6 week session for

$175. How much would you expect to pay for

a 9 week session?

175 : 6 = 29.16

29.16 x 9 = 262.5

or

175 : 6 = x : 9

x = 175 x 9 : 6

x = 262.5

The HCF of the polynomials x^6 + 3x^4 + 3x^2 + 1 and x^3+3x^2 + 3x + 1 is 1

When we divide the polynomials f(x) / g(x) then we get f(x) = g(x) × q(x) + r(x). Assuming the degree of g(x) > degree of r(x).

If the remainder r(x) is zero, then q(x) is the highest common factor of polynomials.

Here, we have been given two polynomials x^6 + 3x^4 + 3x^2 + 1 and x^3+3x^2 + 3x + 1

Let  f(x) = x^6 + 3x^4 + 3x^2 + 1 and  g(x) = x^3 + 3x^2 + 3x + 1

We can write these polynomials as:

f(x) = x^6 + 3x^4 + 3x^2 + 1

f(x) = (x² + 1)^3

The factors of polynomial  f(x) = x^6 + 3x^4 + 3x^2 + 1: 1 and  (x² + 1)^3

And g(x) = x^3 + 3x^2 + 3x + 1

g(x) = (x + 1)^3

And the factors of g(x) = x^3 + 3x^2 + 3x + 1 : (x + 1)^3 and 1

Therefore, the HCF of the polynomials f(x) and g(x) = 1

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Answer:

Tamicca made 12 monthly payments of $115, for a total payment of 12*$115 = $<<12*115=1380>>1380.

She bought a computer for $1200, so the finance charge that she paid is $1380-$1200 = $<<1380-1200=180>>180.

Therefore, the finance charge that Tamicca paid was $180, rounded to the nearest cent.

Step-by-step explanation:

The correct option regarding the solutions of the system of equations for this problem are given as follows:

The solutions are (-1.19, 4.47) and (2.52, 27.92).

The system of equations for this problem is defined as follows:

Adding the two equations, we can eliminate the variable y, hence:

3x² - 4x - 9 = 0.

Meaning that this is a quadratic equation with the coefficients given as follows:

a = 3, b = -4, c = -9.

Inserting these parameters into a quadratic equation calculator, the solutions for x of the quadratic equation are given as follows:

x = -1.19 and x = 2.52.

When x = -1.19, the solution for y is calculated as follows:

y = 4x² + x = 4(-1.19)² - 1.19 = 4.47.

When x = 2.52, the solution for y is calculated as follows:

y = 4x² + x = 4(2.52)² + 2.52 = 27.92.

Meaning that the correct option is given by the second option.

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The given equation does not give same solution set.The first equation gives negative number and second equation gives positive number as a solution.

The relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally,Compare the two values whether it is less than or greater than,then different inequalities are used.

Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own. But these things will change direction of the inequality: Multiplying or dividing both sides by a negative number.

Now we solve

5-x>8                            x-5<8

5-5-x>8-5                      x-5+5<8+5

-x>3                                  x<13

Hence given equation does not give same solutions.

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The measure of the exterior angle of the triangle is 139°.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

From the two given angles are 75° and 64° and exterior angle is 2.

Now, ∠2=75°+64°

∠2=139°

Therefore, the measure of the exterior angle of the triangle is 139°.

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