Samantha has 8 blue shirts, 4 red shirts, and 6 white shirts. What is the ratio of red shirts to the total number of shirts?

Therefore , the solution of the given problem of probability comes out to be probability of winning a  3 game out of 5 is 0.5 .

Calculating the likelihood that a statement is true or that an event will take place is the focus of probability theory, a branch of mathematics. Any quantity between 0 and 1, whereby 1 frequently represents certainty range 1 and 0 normally denotes possibility, can be used to represent chance. A probability diagram illustrates the likelihood that a particular event will take place.

Here,

Given :

Since,

the probability to win a game is 50% .

So they have to win 3 games ,

and so , the probability to win the game is:

=> 1/2 * 1

=> 0.5

thus,

probability of winning a  3 game out of 5 :

=> 0.5

Therefore , the solution of the given problem of probability comes out to be probability of winning a  3 game out of 5 is 0.5 .

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Using functions, we can find that the given equation is a quadratic equation so, the graph will be a parabola.

Option B is correct.

Simple functions like linear and quadratic functions are simple to graph. The fundamental concept behind graphing functions is to locate the shape, if at all possible. A line would be the graph of a linear function of the type f(x) = axe + b, for instance; a parabola would be the graph of a quadratic function of the form f(x) = ax² + bx + c.

By replacing some random x values into the function, one can locate some spots on it by determining the corresponding y values for each value.

Here in the question,

Given equation will be:

-(x+3)(x + 1)

Solving it we get:

= -x² -x + 3x + 3

= -x² + 2x + 3

So, graph for this function will be a parabola as the function is a quadratic function.

Therefore, the graph of the function will be the 2nd graph. Option B is correct.

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Below, you'll find a list of all the answers to the questions which are solved by using proportional relationship.

The general equation for a straight line is y=mx + c, where m represents the line's slope and expresses the rate of change of y per unit time with respect to x.

The point where the graph crosses the y-axis is called the y-intercept, or c.

Direct proportionality is also represented by y = mx. We can express m as follows: m = y/x

OR

y₁/x₁ = y₂/x₂

In our cafeteria, lemonade is made using a powdered drink mix. The quantity of water required to manufacture a certain amount of powdered drink mix is proportional to the number of scoops required. For every 2 scoops of mix, 1/2 gallon of water is required, and for every 5 scoops,

1 1/4 gallons of water are required.

The proportional formula is written as y = k x.

Using the information provided, we can now write: 2 scoops require 0.5 gallon of water.

1.25 gallon of water is required for 6 scoops.

This means that k = 2/0.5

k = 2/(1/2)

k = 2 x 2

k= 4

Equations describing the relationship can be expressed as y = 4x + c.

0.5 gallon of water is now required for 2 scoops.

2=4(1/2)+c

2=2+c

c=0

Therefore, the formula will be y = 4x.

The end includes a graph for y = 4x.

12 scoops of water:

12=4x

x=3 gallons of water is needed.

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The polynomial of degree 3 with zeros at x = 3, x = -4, and x = 5 is P(x) = x^3 - 4x^2 - 17x + 60.  

To construct a polynomial of degree 3 with zeros at x = 3, x = -4, and x = 5, we can use the fact that the polynomial can be written as a product of linear factors corresponding to each zero.

The factor corresponding to x = 3 is (x - 3).

The factor corresponding to x = -4 is (x + 4).

The factor corresponding to x = 5 is (x - 5).

To obtain the polynomial, we multiply these factors together:

P(x) = (x - 3)(x + 4)(x - 5)

Expanding this expression gives us:

\(P(x) = (x^2 - 3x + 4x - 12)(x - 5)\)

\(= (x^2 + x - 12)(x - 5)\)

\(= x^3 - 5x^2 + x^2 - 5x - 12x + 60\)

\(= x^3 - 4x^2 - 17x + 60\).

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Answer:

Step-by-step explanation:

y=kx²

y₁=k(1)²=k

y₃=k(3)²=9k

y₁-y₃=k-9k=32

-8k=32

k=-4

y=-4x²

y₋₂=-4(-2)²=-16

Answer:

sorry can't understand the language

Answer:

6

Step-by-Step Explanation:

if you were to move the bottom triangle to the top, it would make the parallelogram a perfect rectangle.

the area is 60 units^2.

area=length*width

and the one side is 10. 60/10 =6 so 6 units is the answer

Answer:

what are you trying to ask? 2x2 is 4+4 is 8 that is 4 more than twice the number 2 if that is what you want to know

Step-by-step explanation:

4 more than twice what number?

The mean absolute deviation is $106.6.

Given the table shows the amount Bill spent on 5 days last week.

DayAmount12622313126534To find the mean of the amount he spent: The formula for calculating the mean of a given set of values is mean=∑x/n where x represents the values, n represents the number of values, and ∑x represents the sum of the values.

Mean=total sum of values/total number of values Mean=(26+23+31+26+534)/5Mean=640/5Mean=128So,

the mean of the amount he spent is $128.To find the mean absolute deviation: The mean absolute deviation (MAD) is the average distance between each data value and the mean. MAD shows how much the data set deviates from the mean. The formula for calculating the MAD is MAD=∑|xi−m|/n where xi represents the values, m represents the mean, and n represents the number of values. So, the calculation for each day is:

Day Amount Absolute deviation from mean1 26 |128-26|=102 23 |128-23|=105 31 |128-31|=974 26 |128-26|=102 534 |128-534|=406

The sum of all absolute deviations is:

10+10+97+10+406=533The mean absolute deviation (MAD) is: MAD=533/5=106.6So.

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We are given the following data:

Every team can have between 3 and 5. This means that the minimum number of players is 3 and the maximum is 5.

We are also told to write an expression that can be used to represent the number of players if there are at least 3 teams.

To go about this

Let us consider that the minimum each team can have is 3.

If there are 3 teams, the minimum possible player is given by

Thus, if we represent the possible number of players with x, we will have inequality

Answer:

  25 yards long, 5 yards wide

Step-by-step explanation:

The given parameters can be used with the area and perimeter formulas for a rectangle to form an equation that can be solved for the dimensions.

The length and width can be represented by x and y. The formulas for area and perimeter give two equations relating these two variables:

  A = LW   ⇒   125 = xy

  P = 2(L+W)   ⇒ 60 = 2(x +y)

Using the second equation to write an expression for y, we have ...

  y = 30 -x

Substituting into the first equation gives ...

  125 = x(30 -x)

This suggests we can find x by looking for factors of 125 that total 30.

  125 = 1(125) = 5(25)

Factor totals are 126 and 30. This means we have ...

  x = 5, y = 30-5 = 25

or

  x = 25, y = 30 -25 = 5

The rectangle dimensions are 5 yards by 25 yards.

__

Additional comment

The two equations can also be solved graphically, as in the attachment.

The rectangle will be 25 yards long, and 5 yards wide.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

The given parameters can be used with the area and perimeter formulas for a rectangle to form an equation that can be solved for the dimensions.

The length and width can be represented by x and y. The formulas for area and perimeter give two equations relating to these two variables:

 A = LW   ⇒   125 = xy

 P = 2(L+W)   ⇒ 60 = 2(x +y)

Using the second equation to write an expression for y, we have ...

y = 30 -x

Substituting into the first equation gives ...

125 = x(30 -x)

This suggests we can find x by looking for factors of 125 that total 30.

125 = 1(125) = 5(25)

Factor totals are 126 and 30. This means we have.

x = 5, y = 30-5 = 25

x = 25, y = 30 -25 = 5

Therefore, the rectangle will be 25 yards long, and 5 yards wide.

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Answer:

See below.

Step-by-step explanation:

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

6x^2-x^3

(-8x^2-2x+7)+(x^2-3x+2)

-7x^2-5x+9

-hope it helps

Greece is different from most other countries in southern Europe because its most popular religion is not Catholicism. Option B

Catholicism refers to the traditions, beliefs, and behaviors of the Catholic Church

Greece is predominantly an Orthodox Christian country, whereas most other countries in southern Europe, such as Italy, Spain, and Portugal, are predominantly Catholic.

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Answer:

From what we know about percentages and unit rates, the correct options are:

1) 100

2) 1

What is a percent?

Suppose we have an amount A, this would be the 100%.

If we want to know how much a quantity B represents, compared to A, we have:

A = 100%

B = x

where x is a percentage, to find the value of x we compute:

x = (B/A)*100%

While there is a dependence on A, we actually are comparing the term with 100 (because A represents a 100%), so the correct option is A: 100

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Answer:

f(x) = 3(x − 9)^2 + 4

To find the inverse of f(x), first we denote: y = 3(x - 9)^2 + 4, we then find a way to express x in term of y.

     y = 3(x - 9)^2 + 4

<=> y - 4 = 3(x - 9)^2

<=> (y - 4)/3 = (x - 9)^2

<=> sqrt[(y - 4)/3] = x - 9

<=> x = sqrt[(y - 4)/3] + 9

Denote left side is g(x), and variable y on the right side is x, we have:

g(x) = sqrt[(x - 4)/3] + 9

g(x) is inverse of f(x)

Here, (x - 4)/3 must be not a negative number (because of the definition of square root (sqrt) of a real number)

=> x - 4 >= 0 or x >= 4

=> The restriction domain of g(x), which is the inverse of f(x) is x >= 4

The number of small rooms reserved is 4.

The number of large rooms reserved is 8.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Small rooms are denoted as S.

Large rooms are denoted as L.

Now,

We will make two equations.
L = 2S _____(1)

8L + 6S = 88 ______(2)

Putting (1) in (2) we get,

8L + 6S = 88

8 x (2S) + 6S = 88

16S + 6S = 88

22S = 88

S = 88/22

S = 8/2

S = 4

Now,

Putting S = 4 in (1) we get,

L = 2 x 4

L = 8

Thus,

The number of small rooms and large rooms reserved is 4 and 8.

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The expression |x³| + 5 is 5 more than the absolute value of the cube of a number.

Option B is the correct answer.

We have,

The expression |x³| represents the absolute value of the cube of a number x.

This means that no matter what value x takes (positive, negative or zero), the result of the expression will always be positive.

For example, if x = 2, then |x³| = |2³| = |8| = 8.

If x = -2, then |x³| = |-2³| = |-8| = 8.

Adding 5 to the absolute value of the cube of x means adding 5 to the positive number that resulted from |x³|.

So, if we take the examples from above, if x = 2, then the expression becomes |2³| + 5 = 8 + 5 = 13.

If x = -2, then the expression becomes |-2³| + 5 = 8 + 5 = 13.

Therefore,

The expression |x³| + 5 is 5 more than the absolute value of the cube of a number.

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Answer:

  7.8 pounds

Step-by-step explanation:

The relation between pounds and kilograms is proportional:

  \(\dfrac{\text{books}}{3.5\text{ kg}}=\dfrac{1\text{ lb}}{0.45\text{ kg}}\qquad\text{pounds to kg proportion}\\\\\text{books}=\dfrac{(3.5\text{ kg})(1\text{ lb})}{0.45\text{ kg}}=\dfrac{3.5}{0.45}\text{ lb}\qquad\text{multiply by 3.5 kg}\\\\\boxed{\text{books}\approx7.8\text{ lb}}\)

The stack of books weighs about 7.8 pounds.

Answer:

The correct option is (b).

Step-by-step explanation:

The solution of the given polynomial is :

\((-\dfrac{1}{3},4)\)

x = 1/3 and y = -4

i.e.

Sum of roots = (1/3-4) = -11/3

Product of roots = (1/3)(-4) = -4/3

The quadratic equation is as follows :

\(x^2+(\text{sum of roots})x+\text{Product of roots}=0\)

Put all the values,

\(x^2+\dfrac{-11}{3}x+\dfrac{-4}{3}=0\\\\3x^2-11x-4=0\)

So, the correct option is (b).

Answer:

both negative because y is negative and make both answers negative

Answers:

==============================================

Explanation:

x < 0 means x is negative

y > 0 tells us y is positive

Dividing a positive by a negative, or vice versa, means the result is negative. It's similar to how positive times negative = negative. So that is why the answer to problem 6 is "negative".

---------------

In problem 7, we square x to get some positive result.

Consider something like x = -7. Squaring this leads to

x^2 = (-7)^2 = (-7)*(-7) = 49

The two negatives cancel out when we square.

Since x^2 is positive, and y is positive, this means x^2*y is positive as well.

A function is a relationship between inputs where each input is related to exactly one output.

The value of \(h^{-1}(x)\) is (x -5)/5

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

h(x) = 5x + 2

To find \(h^{-1}(x)\).

Step 1: Keep h(x) = y.

Step 2: Replace y with x and x with y.

Step 3: Solve for y.

Step 4: Change y = \(h^{-1}(x)\)

Now,

y = 5x + 2

x = 5y + 2

x - 2 = 5y

(x - 2) / 5 = y

y = (x - 2) / 5

\(h^{-1}(x)\) = (x -2) / 5

Thus,

The value of \(h^{-1}(x)\) is (x -5)/5

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Answer:

D

Step-by-step explanation:

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Answer:

Rs. 80

Step-by-step explanation:

Given that :

Purchase price = 70

Profit = 6

Discount = 5%

Let selling price = x

Selling price * (1 - discount) = (purchase price + profit)

x * (1 - 5%) = (70 + 6)

x * (1 - 0.05) = 76

x * 0.95 = 76

0.95x = 76

x = 76 / 0.95

x = 80

Hence, selling price = Rs. 80

Answer:

abcd = -24

Step-by-step explanation:

First, remember that the default operation in algebra is multiplication, so we have to multiply a and b and c and d together to get the answer:

abcd = a × b × c × d

Plugin your values to get the total of:

3 x -2 × 4 × 1 = -24

So the answer to this problem is -24

Answer:

9

Step-by-step explanation:

There are 9 students who spend the following number of hours in a typical day on the computer.

3,3,5,7,7,9,9,9,12

The mode is the number that is of the highest frequency in any given set of values.

The mode number of hours is the highest number of hours spent on the computer.

The number 9 occured the most times. Therefore the mode hour is 9