fifty two cards are randomly distributed to 4 players with each player getting 13 cards what is the probability that each of them will have an ace

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.

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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Answer: bro what question is it

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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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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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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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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If the sum of the squares on a triangle's two shorter sides is more than the square on its longest side, the triangle is said to be acute.

A triangle is said to be acute if the sum of its two shorter sides' squares is larger than its longest side's square. The triangle is obtuse, though, if the squares added together of its two shorter sides are less than those added together of its longest side.

The Pythagorean Theorem's antithesis states that if the square of the length of a triangle's longest side equals the sum of the squares of its other two sides, then the triangle is a right triangle.

With the aid of Pythagoras' theorem, it is possible to establish whether a triangle has a right angle. A straight angle is present in a triangle if the squares of the two shorter sides equal the square of the hypotenuse.

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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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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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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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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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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 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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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

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:

Step-by-step explanation:

is this college

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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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).

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).

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.

Answer: Her neighbors paid her 28 dollars

Step-by-step explanation: if you add 4, 16, and 8 then you get 28

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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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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.

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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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 product of these given polynomials will be

(4x^2+9-12x)(25x^2+36+60x)

What are polynomials?

Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. We can perform arithmetic operations such as addition, subtraction, multiplication, and also positive integer exponents for polynomial expressions but not division by variable. An example of a polynomial with one variable is x^2+x-12. In this example, there are three terms: x^2, x and -12.

Based on the number of terms present in the expression, it is classified as monomial, binomial, and trinomial.

Now

Given polynomial  ​ (2x−3)(5x+6)(2x−3)(5x+6)

After combining like terms

(2x-3)^2(5x+6)^2

(4x^2+9-12x)(25x^2+36+60x)    ( As (a+b)^2 = a^2 + b^2 + 2ab

                                                             (a-b)^2 =a^2 + b^2 - 2ab )

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56.6 miles will he have to his destination after 68 minutes of driving.

A linear function is a mathematical expression involving variables that, when graphed, creates a straight line. Linear functions are used to model relationships between two variables, such as cost and revenue, price and demand, and distance and time. Linear functions can also be used to solve equations and are especially useful for predicting future outcomes.

The linear function representing Sam's distance to his destination can be expressed as:

Distance to Destination = 69 - (60 - Driving Time)

Therefore, after 68 minutes of driving, Sam will have 56.6 miles to his destination:

Distance to Destination = 69 - (60 - 68)
Distance to Destination = 56.6.

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[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]

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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