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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

x y

3 0

4 3

2 5

2 6

3 2

7 0

Step-by-step explanation:

Answer:

7 mi

explanation:

area of rectangle = length * width

given:

using the formula:

length * width = area

8 * v = 56

v = 56/8

v = 7

Answer:

v = 7 mi

Step-by-step explanation:

Formula:

Area of a rectangle = width x length

Given:

Inputting given information in the formula:

⇒ 56 = 8v

Divide both sides by 8:

⇒ 7 = v

Solution:

Therefore, the missing length v is 7 mi

The sequence of transformations involved is B) translation by 2 units to the right and followed by a B) reflection across the y-axis.

The sequence of transformations involved:

From all the information given, it is discovered that the sequence of transformations involved in transforming ABC to A'B'C' is translation and reflection.

Thus, from the graph it is clear that the sequence of transformations involved is B) translation by 2 units to the right and followed by a B) reflection across the y-axis.

Complete question is;

ABC goes through a sequence of transformations to form A’B’C’. The sequence of transformations involved is a:

A) rotation 180 degrees counterclockwise about the origin

B) translation 2 units to the right

C) translation 4 units to the left

D) reflection across the line y=x

followed by a:

A) reflection across the x-axis

B) reflection across the y-axis

C) rotation 90 degrees clockwise about the origin

D) translation 4 units to the right

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The probability that a package of wild-caught shrimp came from Honduras is 0.0036.

The probability that a package of wild-caught shrimp came from Honduras will be:

= Number of wild caught in Honduras/ Total number

= 6/(27 + 40 + 52 + 13 + 6 + 28)

= 6/166

= 0.036

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Answer:

(0, 1)

Step-by-step explanation:

The y-intercept is where a graph intersects with the y-axis. The x-coordinate would be 0, and the y-coordinate would be any real number.

Given the information above, the y-intercept is (0, 1) or 1 because its x-coordinate is 0 and y-coordinate is a real number.

Answer:

y-intercept is (0,1)

Step-by-step explanation:

When we are looking at the chart we’re looking for a point where the x is 0 and the y is 1 which is the definition of y-intercept, where the line intersects only with the y-axis

We can see this in the chart but if that point is not on there, we have another way to find it.

This is the formula, point-slope form.

(Math people are not that creative, you use it when you have the slop and a point)

First, we need to find the slope

We do this by taking two points and using the formula y2-y1 over (/) x2-x1

So our formula is y2-y1/x2-x1.

If you pick two random points, (We will use 0,1 and 1,3) and subtract them from each other, you have the slope

3 is y2 because it’s a y point and its the second point and 1 is our other point because its a y point and its the first y point

So our equation now is 3-1/x2-x1

Now we have to sub in for the x’s

Do the same thing and our equation now is…

3-1/1-0

This gets us to 2/1 which is obviously 2.

Now we have our slope so we just have to fill in for the point.

Point slope form uses the model y-y1=m(x-x1)

So we use our same two points and get

Y-1=2(x-0)

Solve this out to Slope intercept form which will give us our y-intercept.

This gets us to y=2x+1 so our y-intercept is clearly still 1!

Explanation:

FIrst we have to add the whole part of the mixed numbers and then the fractions. If the result of adding the fractions is an improper fraction we have to change it into a mixed number:

Since 67/66 is an improper fraction we have to write it as a mixed number, which is 1 1/66. Then we add the whole part to the whole part we had (in this case is 3):

Answer:

The result is 4 1/66

Answer:

Runner C

Step-by-step explanation:

Tell me if I'm wrong but 100% sure I'm right

The linear regression for the best fit of the data to identify the runner that kept the most consistent pace is Runner C

The connection between the independent (x) and dependent (y) variables in the graph can be graphically represented using regression lines.

In a linear model, the terms are added rather than multiplied, divided, or provided as a non-algebraic function, as has been the case thus far in this section. Analysis of experimental, monetary, and biological data as well as complex system prediction are both possible using linear modelling.

A statistical technique used to build a linear model is called linear regression. The model explains how one or more independent variables Xi relate to a dependent variable y (also known as the response) (called the predictors). The distance between each data point and the regression line is called a residual.

Given data ,

Three runners competed in a race data were collected at each mile mark for each runner

And , If the runner ran at a constant paste the data would be linear

Now , a  linear a regression line was fitted to their data

And , In linear regression, consistent data refers to a set of data points that fall in a linear pattern with a small amount of scatter around the line of best fit. The data is said to be consistent if the residuals (the vertical distances between the observed data points and the predicted values on the line of best fit) are relatively small and do not exhibit any patterns or trends.

So , the runner C has the most consistent pace among the three runners

Hence , runner C is the best fit for the regression line

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The input is 8, the output of the function f(x) would be -5.

What is the function?

Function is a relationship or expression involving one or more variables.  It has a set of input and outputs.

Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences. The modern definition of function was first given in 1837 by the German mathematician Peter Dirichlet

To find the output of the function f(x) when x is 8, we substitute x = 8 into the function and simplify:

f(x) = 8/x - 6

f(8) = 8/8 - 6

f(8) = 1 - 6

f(8) = -5

Hence, if the input is 8, the output of the function f(x) would be -5.

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Answer:

Well you do what fraction says, 8 divided by 12 to get .6 repeating

The fraction is simplified and the value of A is A = 0.666667

Given data ,

Let the expression be represented as A

Now , the value of A is given as:

A = 8/12

The numerator of the fraction is p

The value of p = 8

The denominator of the fraction is q = 12

So, A = p divided by q

A = 8/12

Now , the value of A can be determined by dividing the value of p/q

So,

A = 8/12

On simplifying the equation , we get

On further simplification of the expression , we get

A = 0.666667

So, the decimal form of the fraction is A = 0.666667

Hence , the decimal is A = 0.666667

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Answer:

OOk

Step-by-step explanation:

The value of secant XY is 37.5 units.

The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".

Using the theorem above, we can say:

VZ * VW = VX * VY

30 * 45 = 22.5 * VY

22.5VY = 1350

VY = 1350/22.5

VY = 60 units

Since VY = VX + XY. We have:

60 = 22.5 + XY

XY = 60 - 22.5

XY = 37.5 units

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The commission amount is $15250.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the selling price of the house is $305000. The value of the commission will be calculated as:-

Commission = ( $305000 x 5% ) / 100

Commission = $15250

Therefore, the commission amount is $15250.

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Answer:

18w-24y

Step-by-step explanation:

distribute

6(3w-4y)

18w-24y

Answer:

Step-by-step explanation:

The domain is the allowed 'x' values that the function can take on without it being undefined. The natural log function is undefined for negative numbers and zero. It can only take on positive inputs. Therefore, we can set up an inequality:

\(3-4x > 0\)

Subtrauct 3 on both sides:

\(-4x > -3\)

Divide both sides by -4. When you divide an inequality by a negative number, you must switch the sign of the inequality:

\(x < 3/4\)

Therefore, our allowed 'x' values is anything less than 3/4:

-∞ < x < 3/4

Multiplying the linear expressions, the correct sequence is given as follows:

They are multiplied applying the distributive property, in which all the terms are multiplied and the like terms are combined.

Hence:

5x(-3 -7x)

(5x)(-3) + (5x)(-7x)

-15x - 35x²

Hence the last option is correct.

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The three options that represent the correct steps to solve quadratic equation are:

What is equation?

In mathematics, an equation is a statement that two expressions are equal. It typically consists of two sides, called the left-hand side (LHS) and the right-hand side (RHS), connected by an equal sign.

To solve the quadratic equation \(8x^2 + 16x + 3 = 0\), Patel could use the following steps:

Use the quadratic formula: x = (-b ± √(\(b^2\) - 4ac)) / 2a, where a = 8, b = 16, and c = 3. This formula gives the solutions to any quadratic equation of the form \(ax^2\) + bx + c = 0.

Factor the quadratic equation by finding two numbers that multiply to give ac (8 * 3 = 24) and add to give b (16).

This can be a bit tricky, but in this case, the factors are (4, 6). So we can write \(8x^2\) + 16x + 3 as \(8x^2\) + 4x + 2x + 3, and then group the terms as (\(8x^2\) + 4x) + (2x + 3) = 4x(2x + 1) + 1(2x + 3).

Use the factored form of the equation to set each factor equal to zero and solve for x.

So we have 4x(2x + 1) + 1(2x + 3) = 0, which gives us two possible solutions: 2x + 1 = 0, which gives x = -1/2, and 2x + 3 = 0, which gives x = -3/2.

Therefore, the three possible steps Patel could use to solve the quadratic equation are:

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The equation that could represent the distance y fallen in feet as a function of time is:

y = 16t². Hence, the correct option is A. y = 16t².

The distance an object falls is calculated using the equation:

y = 1/2gt²

Where:

g = acceleration due to gravity = 32.2 ft/s² (if the measurement is in feet and seconds)In this case,

since Jada dropped her sunglasses,

y represents the distance that the sunglasses fell, and

t represents the time in seconds.

Therefore, the correct equation is:

y = 1/2gt² = 1/2 × 32.2 × t² = 16.1t² ≈ 16t².

Hence, the correct option is A. y = 16t².

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Answer:

m

Step-by-step explanation:

m is being changed to give p, the dependent variable.

People at the concession stand as input Cost of their order's output.

(1) The relation in question is a function.

(II) This function is not constant. (Each category of concession has a different order cost.)

Not a 1-1 function (iii). (Several persons arrived seeking the same sort of concession. So they all pay the same price for their order.)

A function describes the relationship between patrons' inputs at the concession stand and the cost of their order as an output. A function is a relationship between a set of possible inputs and outputs, where each input is associated to exactly one output.

The quantity of patrons at the concession stand serves as the input in this scenario, while the cost of their order serves as the output.

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Answer:

Jade will be farther by 0.6 or .6 miles in 3 hours

Step-by-step explanation:

Jade walks at a speed of 3 miles per hour so 3×3=9 miles per hour

Elena walks at a speed of 2.8 miles per hour so 2.8×3=8.4 miles per hour

Next,the question is how much farther will Jade walk after 3 hours so that means 9-8.4 which is 0.6 or .6 in decimals and we read it as six tenths

hope it helps you

Answer:

800 books

problem solving steps：

adults:60%

young people:5%

children=100%-60%-5%

=35%

35%=280 books

1%=280÷35

=8

100%=800

so,there are 800 books

The solution is Marginal cost is  (1200 - 1000) / (30 - 20) = 12.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

In order to calculate marginal cost, producers must compare the difference of producing one unit to the cost of producing the next unit

Marginal cost is the change in total cost as a result of increasing output produced by one unit.  

For example, if the total cost of producing 20 units of a good is 1000 and the total cost of producing 30units is 1200.

Marginal cost is  (1200 - 1000) / (30 - 20) = 12

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The total number of significant figures ( numerically as an integer ) in the given measurement 6.07 m is equal to 3.

Here in the measurement 6.07 m

Zero is in between two non zero digit 6 and 7.

Zero is countable.

Total number of significant figure in 6.07 m is 3.

Therefore, the number of significant figure in the 6.07 m is equal to 3.

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Answer:

2646

Step-by-step explanation:

is the correct answer for This question

The required equivalent expression is (216 x 16).

The correct is D.

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one maths operation. Addition, subtraction, multiplication, or division are all examples of maths operations. An expression's structure is as follows:

(Number/variable, Math Operator, Number/variable) is an expression.

We have the Expression as,

6³ x 4²

Now, expand the exponents as

6³

= 6 x 6 x 6

= 216

and, 4² = 4 x 4 = 16

Thus, the required equivalent expression is (216 x 16).

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The expression 48s represents the number of scarves (s) and its per unit  (48).

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given that, Emiko makes shibori scarves and sells them for $48 each on a website for handmade goods.

Here, the expression 48s represents the total price of buying s scarves

We need to tell what 48s mean,

So,

48s here is the total cost for buying s scarves,

That mean, if we buy s scarves we will have to pay $48s

Similarly, if we will buy 4 scarves, we will pay = 48 × 4 = $192

For 10 scarves, we will pay = 48 × 10 = $480

Therefore, we can say $48 is the unit price of the scarf.

Hence, the expression 48s represents the number of scarves (s) and its per unit  (48).

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The question was incomplete, so I answered for the question :-

Emiko makes shibori scarves and sells them for 48 each on a website for handmade goods the expression 48s represents the total price of buying scarves what do the parts of the expression 48s represents.

Answer:

Step-by-step explanation:

number of scarves

Price of scarves

Answer: $17.77 per pass

Step-by-step explanation:

$835.19 / (45 + 2)

$835.19 / 47

= $17.77 price per pass