to see if the batch of screws has a significantly different mean length from 3 inches, what would the value of the z-test statistic be?

The slope 0/(-2) means, the line is coincident or parallel to the x-axis

We know that the slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate.

The slope of the line describes the steepness of a line.

Also,  if a line makes an angle θ with the positive direction of the x-axis, then the slope of the line will be tangent of angle θ

m = tan θ

Here we have been given a slope 0/(-2)

As we know 0/(-2) = 0

So, the slope is 0.

Let m = 0

From definition of slope of line,

m = tan θ

0 = tan θ

θ = arctan(0)

θ = (nπ)                where n = 0, 1, 2, . . .

This means, the slope 0/(-2) means for every two units of horizontal distance crosses there is no change of vertical distance.

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Answer: bro what question is it

Part A: The value of π for circle A using the circumference is 3.14 and the value of π for circle B using the circumference is 3.14.

Part B: The value of π for circle A using the area is 3.14 and the value of π for circle B using the area is 3.14.

Part C: You can notice that pi's value remains constant in both circles, proving that it is a constant.

Circle A has a diameter of 7 inches, a circumference of 21. 98 inches, and an area of 38. 465 square inches.

The diameter of circle B is 6 inches, the circumference is 18. 84 inches, and the area is 28. 26 square inches.

Part A: Using the formula for circumference, solve for the value of pi for each circle.

Circumference formula of circle = 2πr

The diameter of circle A d = 7 inches

The radius of circle A r = 7/2 inches

The circumference of circle of A = 21. 98 inches

Now putting the values in the formula

2π×[tex]\frac{7}{2}[/tex] = 21. 98 inches

7π = 21. 98 inches

Divide by 7 on both side, we get

π = 3.14

The value of π for circle A is 3.14.

The diameter of circle B d = 6 inches

The radius of circle B r = 6/2 inches = 3 inches

The circumference of circle of B = 18.84 inches

Now putting the values in the formula

2π×3= 18.84 inches

6π = 18.84 inches

Divide by 6 on both side, we get

π = 3.14

The value of π for circle B is 3.14.

Part B: Use the formula for area and solve for the value of pi for each circle.

The area of circle = [tex]\pi r^2[/tex]

The radius of circle A r = 7/2 inches = 3.5 inches

The area of circle A = 38.465 square inches

Now putting the value

[tex]\pi (3.5)^2[/tex] = 38.465

π × 12.25 = 38.465

Divide by 12.25 on both side, we get

π = 3.14

The value of π for circle A is 3.14.

The radius of circle B r = 3 inches

The area of circle B = 28.26 square inches

Now putting the value

[tex]\pi (3)^2[/tex] = 28.26

π × 9 = 28.26

Divide by 9 on both side, we get

π = 3.14

The value of π for circle B is 3.14.

Part C: We have to explain what observation you can make about the value of pi for circles A and B.

You can notice that pi's value remains constant in both circles, proving that it is a constant.

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The cost of a sixty minute tape is $11.40 and the cost of a ninety minute tape is $1.60.

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Yes, the survey data is biased.

The survey data is biased because the sample group lacks inclusivity.

Bias is a statistical word that means a systematic deviation from the actual value. It is a sampling method that may show some serious problems for the researcher as a less increase cannot reduce in sample size.

In a biased sample, one or more parts of the population are favored over others, whereas in an unbiased sample, each member of the population has an equal chance of being selected. We also saw that a representative sample is a subset of the population that reflects the characteristics of the larger group.

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the measured angle S is 1/2((Arc XPQ-Arc XQ)).

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

The sum of all angles of the triangle = 180

The circle is within the triangle,

The arc XPQ is the total, arc XQ

So the measured angle S is 1/2((Arc XPQ-Arc XQ)).

0.5 (Arc XPQ-Arc XQ)

Hence the measured angle S is 1/2((Arc XPQ-Arc XQ)).

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The elimination method  is another name for the addition method to solve a system of equations in two variables.

What is  The elimination method?

The elimination approach involves removing one of the variables from the system of linear equations by adding or subtracting, as well as multiplying or dividing the variable coefficients.

What are some instances of elimination methods?

Utilizing the addition property of equality, the elimination approach is used to solve systems of linear equations. Each side of an equation can be increased by the same amount.

                               You can therefore add x + y to the left side of the first equation and add 8 to the right side of the equation if your system is x - 6 = 6 and x + y = 8.

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To find f(-1) on a graph, you need to locate the point (-1, y) and then read off the value of y.

Begin by locating the point (-1, 0) on the graph. This point is located at the far left side of the x-axis. Then, draw a line from this point to the line representing the function. This line will intersect the line of the function at a point which is the coordinates (-1, y).

Now, read off the value of y at this point. This is the value of f(-1). To double-check your answer, make sure that the coordinates of the point you have located are (-1, y). If they are, then the value of y is the value of f(-1).

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The situation can be modeled with the linear function:

f(x) = $30*x + $100

Evaluating that, we can see that after two years you will pay $820.

Here we know that you buy a gym membership for $100 plus $30 per month.

So, the cost after x months can be modeled by the linear function:

f(x) = $30*x + $100

Where x is the number of months and f(x) is the amount of money that you pay after x months.

We want to find how much you will pay after 2 years, there are 24 months in two years, then we will get:

f(24) = $30*24 + $100 = $820

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The expression [tex]\sqrt[3]{8^{x} }[/tex] is equivalent to, [tex]8^{x/3}[/tex], So Option C is correct

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

An expression,  [tex]\sqrt[3]{8^{x} }[/tex]

equivalent expression = ?

⇒   [tex]\sqrt[3]{8^{x} }[/tex]

⇒  [tex]\sqrt[3][/tex]cube root can be written as 1/3 power of 8

So, expression will convert like this,

⇒   [tex]8^{x/3}[/tex]

Hence, the equivalent expression is  [tex]8^{x/3}[/tex]

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Answer: (7, -4)

Step-by-step explanation: To find the midpoint of a line segment, We take the average of the X-coordinates and the Y-coordinates of the two endpoints.

Given points A(4,-2) and B(10,-6), the midpoint can be found using the following steps.

1. Take the average of the X-coordinates: (4+10)/2=7.

2 Take the average of the Y-coordinates: (-2 + -6)/2=-4.

So the midpoint of the line segment joining A and B is (7,-4).

[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{-3})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{7} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{ \cfrac{1}{7}}(x-\stackrel{x_1}{5}) \implies y +3= \cfrac{1}{7} (x -5)[/tex]

Answer:

20x-3/15=8

We move all terms to the left:

20x-3/15-(8)=0

determiningTheFunctionDomain

20x-8-3/15=0

We multiply all the terms by the denominator

20x*15-3-8*15=0

We add all the numbers together, and all the variables

20x*15-123=0

Wy multiply elements

300x-123=0

We move all terms containing x to the left, all other terms to the right

300x=123

x=123/300

x=41/100

Answer:

x = 0.41

Step-by-step explanation:

20x-3/15=8

20x - 1/5 = 8

20x - 1/5 = 40/5

20x = 41/5

20x = 8.2

x = 0.41

Answer:

Step-by-step explanation: 500

The constant of proportionality is the number that is multiplied by the variable in the equation. In the equation y=7x, the constant of proportionality is 7.

Step 1: Identify the equation: y=7x

Step 2: Determine what the constant of proportionality is: The constant of proportionality is 7.

Step 3: Calculate the value of the constant of proportionality: The constant of proportionality is 7.

The constant of proportionality is a number that is multiplied by the variable in an equation. For example, in the equation y=7x, the constant of proportionality is 7. This means that for every unit increase in x, y will increase by 7. To calculate the constant of proportionality, simply identify the equation and determine what number is multiplied by the variable. In this case, the number is 7. Consequently, 7 is the constant of proportionality. The constant of proportionality is an important concept in mathematics and is used to calculate the relationship between variables in equations. Knowing the constant of proportionality can help make equations easier to solve and understand.

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The marked price when a customer gets a discount of 3250 (from graph) and the discount when the marked price is 2500

percentage, a relative value indicating hundredth parts of any quantity.

The relation between the market price and the discount is

y=0.5x

Which is the required relationship between the Marked Price and the Discount.

We have to find the marked price when a customer gets a discount of 3250

As discount is 3250

In the graph is represent the point F ( 3250, 0)

If we draw a line parallel to Y axis and passing through the point F( 3250, 0) then it intersects the line y = 2x at B( 3250 , 6500)

Accordingly we get the point A ( 3250, 6500)

Hence the Marked Price = 6500

Manually it can be checked

As discount is 3250

x = 3250

So y = 2 × 3250 = 6500

(2) We have to find the discount when the marked price is 2500

As marked price is 2500

In graph it represent the point C( 0, 2500)

If we draw a line parallel to X axis and passing through the point C( 0, 2500) then it intersects the line y = 2x at B( 1250 , 2500)

Accordingly we get the point B( 1250 , 2500)

Hence the discount = 1250

Manually it can be checked

As marked price is 2500

y = 2500

So x = 2500 ÷ 2 = 1250

Hence,  the marked price when a customer gets a discount of 3250 (from graph) and the discount when the marked price is 2500

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7.13 square inches is the area of the circle greater than the area of the square

area of a circle is pir^2 = pi*2.5^2

side of the square by Pythagoras

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

5^2 = 2x^2

x^2 = 12.5 = area of the square

area of circle = pi * 6.25 = 19.63

difference in areas = 19.63 - 12.5 = 7.13 sq ins

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Based on the graph, it looks like the only y-value not used by the graph is –6.

So, the range would be (-infty, -6) U (-6, infty).

The perimeter of the triangle is given by an expression 18m³ + 2m² - m

Consider the following diagram.

In this question we have been given a triangle.

The sides of the triangles are represented by a mathematical expressions

(5m³ + 3m² - 2m), (8m³ - 4m² + 3m) and (5m³ + 3m² - 2m)

From given expression we can observe that, there are two sides with expression 5m³ + 3m² - 2m.

This means, the triangle must be an isosceles triangle.

We know that the formula for the perimeter of isosceles triangle.

P = 2a + b

where, a = side and b = base of isosceles triangle

Using above formula the perimeter of given triangle would be,

P = 2(5m³ + 3m² - 2m) + (8m³ - 4m² + 3m)

P = (10m³ + 6m² - 4m) + (8m³ - 4m² + 3m)

P = (10 + 8)m³ + (6 - 4)m² + (-4 + 3)m            .....(combine like terms)

P = 18m³ + 2m² - m

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The SAS (side-angle-side) theorem of congruence states that if two sides and their included angle in one triangle are exactly equal to the corresponding two sides and their included angle in another triangle,

prove that the triangles are congruent using SSS or SAS?

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.

Answer:

0.34 < 0.8

Step-by-step explanation:

On compares the decimal numbers 0.34 and 0.8 the correct math statement is 0.34 < 0.8.

To compare the decimal numbers 0.34 and 0.8 correctly, we need to determine which one is greater or if they are equal. One way to do this is by aligning the decimals and comparing the digits from left to right.

0.34 and 0.8 have a different number of decimal places. To make the comparison easier, we can add a trailing zero to 0.34:

0.34 ( or 0.340 ) and 0.8

Now, we can compare them:

0.340 < 0.8

So, the correct math statement is: 0.34 < 0.8.

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The largest possible value of D is  6.4.

The largest possible value of D is calculated by applying the following formula as shown below.

The largest possible value of D is obtained when the situation occurs;

let b = 3

a = 4

c = - 2

D = √ ( b²  - 4ac )

D = √ ( 3² - ( 4 x 4 x - 2 )

D = √ ( 9 +  32 )

D = √ ( 41 )

D = 6.4

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The factored form of a quadratic function is  (x + a)(x+ b).

In math the term quadratic function is defined as a polynomial function of degree 2.

Here we have to find the process to convert the quadratic equation into the factored form.

As per the definition of quadratic equation, we all know that the standard form of the quadratic equation s written as,

=> y = ax² + bx + c

As we all know that factorization of quadratic equations can be done using different methods such as splitting the middle term or by using the quadratic formula or by completing the squares, etc.

Here we spilt the middle term then the expression is written as,

=> (x + a) (x + b)

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C 3.6  = 1.5 3.6x=1.53, point, 6, x, equals, 1, point,5.

An equation is a mathematical statement that states that two expressions are equal. It is composed of two expressions, one on each side of an equals sign, and can be used to solve for unknown values. Equations can involve numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division. They are used to solve a wide variety of mathematical problems.

The equation to solve for the price of a box of generic cereal is 3.6/1.5 = x, where x is the price of the box of generic cereal. By dividing 3.6 by 1.5, the price of a box of generic cereal is determined to be $2.40.

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Of the four variables, employee number, pay rate, hire date, and sex, the "Sex" variable is the best fit to use as a dummy variable.

The variable "Sex" is the best fit to use as a dummy variable. A dummy variable is used to represent a categorical variable with a numerical value, such as 0 or 1. In this case, "Sex" is a categorical variable with two categories (male and female) and can be transformed into a dummy variable with values 0 or 1 to represent the categories. The other variables, Employee Number, Pay Rate, and Hire Date, are not categorical variables and would not be appropriate to use as dummy variables.

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Answer: The production possibilities is a graph that shows all of the different combinations of output that can be produced given current resources and technology. Sometimes called the production possibilities frontier, the PPC illustrates scarcity and tradeoffs.

Yes, it is possible to solve 30 60 90 triangles if only a hypotenuse is given. The 30, 60, and 90 are special right triangles.

30,60,90 special right triangles because there is a relation between height, base, and the hypotenuse

In this type of triangle, the hypotenuse is double of height.

Let's assume the hypotenuse given = [tex]x[/tex]

therefore, height = [tex]\frac{x}{2}[/tex]

and the base is [tex]\sqrt{3}[/tex] times the height

so, base = [tex]\frac{x}{2}\sqrt{3}[/tex]

Points to be noted:

the opposite side of [tex]30^o[/tex] is height, the opposite side of [tex]60^o[/tex] is base, and the opposite side of [tex]90^o[/tex] is the hypotenuse.

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Answer:

Step-by-step explanation:

is this college

The slope between the points (-6, 6) and (-6, -1) is -infinity.

The slope of a line is the change in the dependent variable with respect with the change in the independent variable.

Therefore, the slope is define as rise over run.

Hence let's find the slope between the points (-6, 6) and (-6, -1)

Therefore,

slope = y₂ - y₁ / x₂ - x₁

x₁ = -6

x₂ = -6

y₁ = 6

y₂ = -1

Therefore,

slope = -1 - 6 / -6 + 6

slope = -7 / 0

slope = - infinity

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Answer:

16 degrees, I believe

Step-by-step explanation:

You would use an inverse sine, if I'm not mistaken. You have the O (opposite) and the H (hypotenuse). With that you can do SOH - or sine. But since you want the angle, you do an inverse. So you do the inverse sine of O over H, or the inverse sine of 5/18. It gives you 16.128 degrees or so.