33–34: Which Type of Probability? State which method
(theoretical, relative frequency, or subjective) should be used to
answer the following questions. 33. What is the probability of
being dealt a p

The equation to show the relationship between x and y is y = 0.08x, where y is the amount of sales tax in dollars for the item and x is the cost of the item in dollars before tax.

Tax is a compulsory financial charge or some other type of levy imposed upon a taxpayer by a governmental organization in order to fund various public expenditures. A failure to pay, along with evasion of or resistance to taxation, is punishable by law. Taxes consist of direct or indirect taxes and may be paid in money or as its labour equivalent. Most countries have a tax system in place to pay for public, common or agreed national needs and government functions. Some levy a flat percentage rate of taxation on personal annual income, but most scale taxes based on annual income amounts.

This equation reflects the fact that the amount of sales tax for an item is 8% of its cost before tax.

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Sales tax: The equation to show the relationship between x and y is x + y = C,

An equation is a mathematical statement that expresses two mathematical expressions to be equal. It usually consists of two numbers, variables, or a combination of the two. An equation may be used to calculate a desired result, or to determine the relationship between two variables. Equations can also be used to test whether a statement is true or false. Most equations are written in the form of "a = b," where a and b are two numbers or variables.

where C is the cost of the item plus the sales tax. This equation can be explained mathematically as follows: the cost of the item (x) is added to the amount of sales tax (y) to give the total cost of the item with tax (C).

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Answer:

Step-by-step explanation:

Inside

Answer:

Caroline's age is 21 years which is an odd integer.

Integers are a subset of real numbers.

Integers are rational numbers except decimals and fractions.

There are 3 types of integers positive , negative and Zero.

Positive integers are 3, 6, 789 ...

Negative integers are -87, -345, -234 ...

Zero integers is 0

It is given that Caroline is the youngest of 4 siblings and all of their ages are odd consecutive integers.

Let us consider the age of Caroline's age to be x years(x is an odd integer).

She is the youngest so the sibling's age who is just older than Caroline is given by x+2 which is also another odd integer.

Ages of the other two siblings will be x + 4 , x + 6 .

Now sum of their ages is 96.

Therefore: x + (x+2) + (x+4) + (x+6) =96

or, 4x + 12 = 96

or, 4x = 84

or, x = 21 (odd integer)

Carline's age is 21 years

Step-by-step explanation:

The equation of the plane that is perpendicular to the plane 2x - y + 3z = 6 and passes through the points (1, 2, -3) and (-2, 3, 5).

A plane's equation is a linear expression made up of the constants a, b, c, and d as well as the variables x, y, and z. The direction numbers of a vector perpendicular to the plane are represented by the coefficients a, b, and c. The constant d can be thought of as the distance along the normal vector of the plane from the origin.

To find an equation for the plane perpendicular to the plane 2x - y + 3z = 6 and passing through the points (1, 2, -3) and (-2, 3, 5), we can follow these steps:

1. Find the normal vector of the given plane:

The coefficients of x, y, and z in the equation 2x - y + 3z = 6 represent the components of the normal vector. So, the normal vector is (2, -1, 3).

2. Use the normal vector and one of the given points to form the equation of the plane:

Using the point (1, 2, -3), we have:

2(x - 1) - 1(y - 2) + 3(z + 3) = 0

2x - 2 - y + 2 + 3z + 9 = 0

2x - y + 3z + 9 = 0

This is the equation of the plane that is perpendicular to the plane 2x - y + 3z = 6 and passes through the points (1, 2, -3) and (-2, 3, 5).

Here is a rough sketch of the situation:

attached below

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Answer:

1)60

2)7

Step-by-step explanation:

1)The square root of 3600 is 60. It is the positive solution of the equation x2 = 3600. The number 3600 is a perfect square.

2)The cube root of 343 is the number which when multiplied by itself three times gives the product as 343. Since 343 can be expressed as 7 × 7 × 7. Therefore, the cube root of 343 = ∛(7 × 7 × 7) = 7.

Answer:

Step-by-step explanation:

Note that 3600 can be rewritten as (60)(60) and that the square root of (60)(60) is 60.  Thus, the square root of 3600 is 60.

Dividing 343 by 7 yields (7)(49), which factors further into (7)(7)(7).

The cube root of (7)(7)(7) is 7.

The product of the numbers on the tile and the die will be a square is 11/60. The probability value, which is derived using a number between 0 and 1, determines the degree of confidence by how close it is.

The probability calculation mathematical formula, which it describes, calculates all the odds for a thing to happen in the context of particular random events. It is possible to feel less confident in the outcome the closer a probability is near the unit value or, conversely, the closer it is to zero. The probability value, which is derived using a number between 0 and 1, determines the degree of confidence by how close it is.

given

Total results equal 10 * 6 = 60.

The squares that are fewer than 60 will be written.

The numbers are 1, 4, 9, 16, 25, 36, and 49.

These are the options: (1,1), (1,4), (2,2), (4,1), (3,3), (9,1), (4,4), (8,2), (5,5), (6,6),(9,4).

Out of 60 options, 11 options are available.

likelihood is 11/60.

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1. The equation for the cost of adult tickets is:

$8.97 x number of adult tickets

The equation for the cost of child tickets is:

$6.79 x number of child tickets

The equation for the cost of renting out the theater is:

$190

2. Yes, you can get at least 5 adult tickets and 4 kids tickets.

3. The most tickets you could have bought and met the given conditions is 9 adult tickets and 8 kids tickets.

4.  It would be a better deal to rent out the theater if you had more than 24 people.

You must be aware of the costs of adult and child tickets in order to determine if you can purchase at least 5 adult tickets and 4 child tickets. A cinema ticket for an adult costs $8.97 on average, while a ticket for a child costs $6.79 on average. 4 children's tickets would cost $27.16 and 5 adult tickets would cost $44.85 as a result. You would then have $202.49 remaining, which would be enough to pay for 7 additional child tickets. Thus, you can purchase at least 5 adult and 4 child tickets.

The most tickets you could have purchased while still fulfilling the requirements is nine adult and eight child tickets. The total price would be $135.05. The adult tickets would cost $80.73 and the child tickets would cost $54.32. You would now have $89.45, which is insufficient to purchase any additional tickets.

Renting out the theater might be a great option if you have more than 24 individuals. This is due to the fact that hiring out the theater costs $190 and allows for a maximum of 24 guests, both adults and children. Consequently, renting the theater would be less expensive than purchasing individual tickets if you had more than 24 individuals.

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Answer:

n = -5

Step-by-step explanation:

Let n be the unknown number

n+ (-11) = -16

Add 11 to each side

n+-11+11 = -16+11

n = -5

Answer:

- 5

Step-by-step explanation:

let n be the number , then

n + (- 11) = - 16 , that is

n - 11 = - 16 ( add 11 to both sides )

n = - 5

Answer:

See attached image

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let m be the number of miles that evelyn can run in 60 minutes.

If evelyn can run 3 miles in 40 minutes, to calculate the number of miles she can run in 60 minutes, we will apply the equality postulate as shown;

3 miles = 40 minutes

m miles = 60 minutes

Cross multiply

40* m = 3* 60

40m = 180

Divide both sides by 40

40m/40 = 180/40

m = 180/40

m = 4.5 miles

The equation that can be used to find m is 40m = 180 and the value of m is 4.5miles

Answer:2/3

Step-by-step explanation:

Answer:

X=50000/3 for x>0

Step-by-step explanation:

First get rid of log (3), toss it over exuation sign.

Then calculate the formula for double angle (sin 2x = sin²X + sin(X) x cos (X) + cos²X)

After you do that you should be able to divide everything with cos²X and get polynomial exuation which is solved by substitution method (you'll get tan and then switch it for lets say letter: t

The center line of a 3-sigma chart for the given sample data would be 9.49.

The formula for centerline (CL) in a 3-sigma chart can be determined by averaging the average of the process data. The process data is determined by calculating the average of each sample of bags.

Thus, the center line of a 3-sigma chart for the given sample data would be equal to the average of the sample means, as shown below.

Calculate the sample means for each bag below: Bag 1: (10.2 + 11.8 + 10.1 + 5.9 + 8.6) / 6 = 9.53

Bag 2: (8.9 + 11.2 + 12.4 + 7.6 + 5.9) / 6 = 9.20

Bag 3: (10.6 + 8.8 + 7.6 + 11.3 + 9.9) / 6 = 9.44

Bag 4: (9.6 + 6.5 + 12.5 + 10.4 + 6.9) / 6 = 9.20

Bag 5: (5.9 + 8.6 + 10.3 + 11.8 + 10.1) / 6 = 9.34

Bag 6: (12.1 + 7.3 + 5.9 + 10.8 + 11.1) / 6 = 9.24

The average of the sample means is then found by adding all six means and dividing by 6:9.53 + 9.20 + 9.44 + 9.20 + 9.34 + 9.24 = 56.95CL = 56.95 / 6 = 9.49

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From the factoring, it is possible to find the following answers:

Letter A:  \(\frac{x\left(x+2\right)}{x-3}\)

Letter B:  \(-\frac{2x^5}{\left(x^2+1\right)\left(x^2-x+1\right)\left(x^2+x+1\right)}\)

Letter C:   \(x^2+y^2\)

In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization.  One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.

Here you should factor the given expression.

\(\frac{x^3-4x}{x^2-5x+6} \\ \\ \frac{x\left(x+2\right)\left(x-2\right)}{x^2-5x+6}\\ \\ \frac{x\left(x+2\right)\left(x-2\right)}{\left(x-2\right)\left(x-3\right)}\\ \\ \frac{x\left(x+2\right)}{x-3}\\ \\ Then,\\ \\ \frac{x^3-4x}{x^2-5x+6} =\frac{x\left(x+2\right)}{x-3}\)

Firstly, you should replace the variables A, B and C for the given expressions.

\(\frac{1}{1-x+x^2}-\frac{1}{1+x+x^2}-\frac{2x}{1+x^2}\)

After that, you should  find the least common multiple.

\(\frac{\left(x^2+1\right)\left(x^2+x+1\right)}{\left(x^2+1\right)\left(x^2-x+1\right)\left(x^2+x+1\right)}-\frac{\left(x^2+1\right)\left(x^2-x+1\right)}{\left(x^2+1\right)\left(x^2-x+1\right)\left(x^2+x+1\right)}-\frac{2x\left(x^2-x+1\right)\left(x^2+x+1\right)}{\left(x^2+1\right)\left(x^2-x+1\right)\left(x^2+x+1\right)}\)

Finally, you can simplify the expression

\(\frac{\left(x^2+1\right)\left(x^2+x+1\right)-\left(x^2+1\right)\left(x^2-x+1\right)-2x\left(x^2-x+1\right)\\ \\ \left(x^2+x+1\right)}{\left(x^2+1\right)\left(x^2-x+1\right)\left(x^2+x+1\right)}\\ \\ \frac{-2x^5}{\left(x^2+1\right)\left(x^2-x+1\right)\left(x^2+x+1\right)}= -\frac{2x^5}{\left(x^2+1\right)\left(x^2-x+1\right)\left(x^2+x+1\right)}\)

Firstly, you should replace the variables P, Q and R for the given expressions.

\(\frac{x^4-y^4}{x^2+y^2-2xy}\cdot \frac{\left(x+y\right)^2-4xy}{x^3-y^3}\div \frac{x+y}{x^2+y^2+xy}\)

Rewriting

\(\frac{\frac{x^4-y^4}{x^2+y^2-2xy}\cdot \frac{\left(x+y\right)^2-4xy}{x^3-y^3}}{\frac{x+y}{x^2+y^2+xy}}=\frac{\frac{x^4-y^4}{x^2+y^2-2xy}\cdot \frac{\left(x+y\right)^2-4xy}{x^3-y^3}\left(x^2+y^2+xy\right)}{x+y}\\ \\\)

\(\frac{\left(x^2+y^2\right)\left(x+y\right)}{x+y}=x^2+y^2\)

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Given:

The expression is:

\(x^2-3x+4+2x^2-x-12\)

To find:

The terms and like terms in the expression.

Solution:

Terms: Variables, constants and product of variable and constants are known as terms which are separated by addition sign "+".

Like terms: The terms which contain same variables with same power are known as like terms.

The given expression is:

\(x^2-3x+4+2x^2-x-12\)

It can be rewritten as:

\(x^2+(-3x)+4+2x^2+(-x)+(-12)\)

Terms are \(x^2,-3x,4,2x^2,-x,-12\).

Like terms are \(x^2,2x^2\) and \(-3x,-x\) and \(4,-12\).

The student question asks to consider the scenario where three distinguishable coins are tossed, and the result is at most one head. The sets of elements included in the sample space are: HTT, THT, and TTH.

We need to determine which sets of elements from the provided options are included in the sample space for this scenario.
Step 1: Identify the possible outcomes for each coin toss.
There are two possible outcomes for each coin toss: heads (H) or tails (T).
Step 2: Determine the possible outcomes for all three coin tosses.
There are a total of 2^3 = 8 possible outcomes for tossing three coins: HHH, HHT, HTH, THH, HTT, THT, TTH, and TTT.
Step 3: Filter the outcomes to include at most one head.
Out of these 8 outcomes, we want to select the ones with at most one head:
- HTT: This outcome has exactly one head, so it's included.
- THT: This outcome also has exactly one head, so it's included.
- HTH: This outcome has two heads, so it's not included.
- THH: This outcome has two heads, so it's not included.
- TTH: This outcome has no heads, so it's included.
- HHT: This outcome has two heads, so it's not included.

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The graph has y-intercept (0,5) and increases with a constant ratio of 3.

A function in mathematics is a connection between a set of inputs (sometimes referred to as the domain) and a set of outputs (also referred to as the range). Each input value is given a different output value.

The y-intercept lies at (0, 5) because the value of the function at x=0 is 530 = 5. The 'constant ratio' is 3, meaning that any increment of 1 in x causes the function value to grow by a factor of 3. (That serves as the exponential term's foundation.)

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Missing parts;

Which of the following statements is true for a function with equation f(x) = 5(3)*?

The graph has y-intercept (0,5) and increases with a constant ratio of 3.

The graph has y-intercept (0, 3) and decreases with a constant ratio of 3.

The graph has y-intercept (0, 3) and increases with a constant ratio of 5.

The graph has y-intercept (0,5) and decreases with a constant ratio of 3.

The graph is an illustration of an exponential function

The coordinates at points A, B and C are (2,640), (3,512) and (4,409.6)

An exponential function is represented as:

\(y = ab^x\)

At point (0,1000), we have:

\(ab^0 = 1000\)

This gives

\(a = 1000\)

At point (1,800), we have:

\(ab^1 = 800\)

This gives

\(ab = 800\)

Substitute 1000 for a

\(1000b = 800\)

Divide both sides by 1000

\(b = 0.8\)

Recall that:\(y = ab^x\)

So, we have:

\(y =1000(0.8)^x\)

At point A, we have: x = 2.

So, the equation becomes

\(y =1000(0.8)^2\)

\(y =640\)

At point B, we have: x = 3.

So, the equation becomes

\(y =1000(0.8)^3\)

\(y =512\)

At point C, we have: x = 4.

So, the equation becomes

\(y =1000(0.8)^4\)

\(y =409.6\)

Hence, the coordinates at points A, B and C are (2,640), (3,512) and (4,409.6)

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Answer:

160

Step-by-step explanation:

\(the \: value \: in \: angle \: e = 180 - (90 + 60) \\ = 180 - 150 = 30degrees \: \\ using \: sinerule \: to \: find \: x \\ \frac{sin(90)}{x} = \frac{sin(30)}{80} \\ making \: x \: subject \: \\ x = \frac{sin90 \times 80}{sin30} \\ x = \frac{1 \times 80}{0.5} \\ x = \frac{80}{0.5} \\ x = 160\)

Answer: x=160

Step-by-step explanation:

Answer:

Slope:

5

y-intercept :

( 0, -6)

Step-by-step explanation:

i dont know how to explain it

Answer:

4x-3(x-2) = 4x-3x+6 = x+6

\(\huge\text{Hey there!}\)

\(\mathsf{-7b - 12 = -61}\)

\(\large\textsf{ADD 12 to BOTH SIDES}\)

\(\mathsf{-7b - 12 + 12 = -61 + 12}\)

\(\large\textsf{CANCEL out: -12 + 12 because that gives you 0}\)

\(\large\textsf{KEEP: -61 + 12 because it helps solve for your b-value}\)

\(\mathsf{-61+12=\bf -49}\)

\(\large\text{NEW EQUATION: \textsf{-7b = -49}}\)

\(\large\textsf{DIVIDE -7 to BOTH SIDES}\)

\(\mathsf{\dfrac{-7b}{-7}=\dfrac{-49}{-7}}\)

\(\large\textsf{CANCEL out: }\mathsf{\dfrac{-7}{7}}\large\textsf{ because that gives you 1}\)

\(\large\textsf{KEEP: }\mathsf{\dfrac{-49}{-7}}\large\textsf{ because that gives you your b-value}\)

\(\mathsf{\dfrac{-49}{-7}= \bf b}\)

\(\uparrow\large\text{SIMPLIFY ABOVE \& YOU HAVE YOUR ANSWER}\uparrow\)

\(\mathsf{-49\div -7= \bf 7}\)

\(\boxed{\boxed{\large\text{Answer: \huge \bf b = 7}}}\huge\checkmark\)

\(\large\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

C. Points L,J and K are collinear.

Step-by-step explanation:

Collinear points are points that lie on the same line. So in the picture only the points L,J and K are collinear.

Answer:

I think l j and k but I might be wrong.

Step-by-step explanation:

In the given scenario, the value "1672" represents the number of car owners in a country.

A parameter is a characteristic or measure that describes a population, while a statistic is a characteristic or measure that describes a sample.

Since the study was conducted on all 1672 car owners in the country, the value "1672" represents the entire population and is therefore a parameter. It describes the total number of car owners in the country as a whole.

In summary, the value "1672" is a parameter in this context, as it represents a characteristic of the entire population of car owners in the country.

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The area of rhombus KLMN is 287.3 in²

A quadrilateral called a rhombus has four equal-length sides. The term "equilateral quadrilateral" refers to a quadrilateral whose sides all have equal lengths.

Given:

Since, the diagonals of a rhombus bisects each other at a right angle,

Let they bisect at O,

so, KM = 2MO = 2KO = 2×11.4 = 22.8 in

Thus, Δ KON is a right triangle,

Using Pythagoras theorem,

KN² = KO² + ON²

ON = √17²-11.4²

ON = 12.611 in

LN = 2×12.611

LN = 25.22 in

Then, Area of a rhombus = 1/2 × diagonal 1 × diagonal 2

Area = 1/2 × 25.22 × 22.8

        = 287.3 in²

Hence, the area of rhombus KLMN is 287.3 in²

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Answer:

If you mean in total if all of it then 245

As you can see, 5y is an external angle of triangle ABC

we know that 5y=180-x

since angle B is 40, and angle A=x and C=x, we have

x%2Bx%2B40=180

2x=180-40

x=140%2F2

x=70

so, angle A=70 and C=70

then

5y=180-70

5y=110

y=110%2F5

y=22

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Answer:

whar state ment

Step-by-step explanation:

Answer:

Step-by-step explanation:

To determine how many roots the function f(x) = x² - 4x - 5 has in common with another function, we need the equation of the other function. Without that information, we cannot determine the number of common roots. Please provide the equation of the other function, and I will be able to assist you further.

Hope this answer your question

Please rate the answer and

mark me ask Brainliest it helps a lot

Answer:

Step-by-step explanation:

Answer:

It will be 63.9

Step-by-step explanation:

Trust me, I got it right

Answer:

63.6mm² (the last option)

Explanation:

the formula for calculating the area of a circle is πr², where r is the length of the radius.

in this case, we know that 9mm is the length of the diameter of the circle, so we can divide that by 2 to get 4.5mm for the length of the radius.

the question has instructed us to use 3.14 for π (pi), so we can substitute these values into the formula:

πr² = 3.14 × 4.5² = 63.585mm²

we can now round this to the nearest tenth to get 63.6mm², which would be the last option.

i hope this helps! :D