Which of the questions below could be the equation of this parabola 

The relative frequency 2 red marbles,  it is decimal or fraction to represent the Probability.  the relative frequency is 0.3, then P(2 red) = 0.3 or 3/10.

The find P(2 red), which represents the probability of choosing two red marbles from the bag, we need to determine the relative frequency of the event where two red marbles are chosen.

Given that the bag contains 3 blue marbles and 2 red marbles, there are a total of 5 marbles in the bag. When two marbles are chosen at random from the bag, the number of red marbles chosen can be either 0, 1, or 2.

From the relative-frequency graph, we need to determine the relative frequency associated with the event of choosing 2 red marbles. The relative frequency is the proportion of times the event occurs in relation to the total number of trials or outcomes.

Since the graph displays the distribution of the number of red marbles chosen, we can visually analyze the graph to find the relative frequency associated with choosing 2 red marbles. The height or y-axis value at the corresponding bar representing "2 red" on the graph provides the relative frequency for that event.

the relative frequency for choosing 2 red marbles, a decimal or fraction to represent the probability. the relative frequency is 0.3, then P(2 red) = 0.3 or 3/10.

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A statement which is true of the measures of the sides of the original square include the following: D. Each side of the original square is 4 feet less than the scale model.

In Mathematics and Geometry, a scale factor can be calculated or determined through the division of the dimension of the image (new figure) by the dimension of the original figure (pre-image).

In Mathematics and Geometry, the scale factor of the dimensions of a geometric figure can be calculated by using the following formula:

(Scale factor of dimensions)² = Scale factor of area

Therefore, the surface area of pentagonal prism B, the image can be calculated as follows;

Side length of of image = 4 × side length of original square

Side length of original square = 1/4 × side length of of image

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

To find the expression that represents the height of the triangle, we need to use the formula for the area of a triangle:

Area = (1/2) * base * height

In this case, the trinomial x² + 4x + 4 represents the area of the triangle, and the binomial x + 2 represents the base.

Using the formula, we can rearrange it to solve for the height:

Area = (1/2) * base * height

x² + 4x + 4 = (1/2) * (x + 2) * height

Now, we can solve for the height by isolating it on one side of the equation:

2 * (x² + 4x + 4) = (x + 2) * height

2x² + 8x + 8 = (x + 2) * height

Divide both sides by (x + 2) to solve for height:

height = (2x² + 8x + 8) / (x + 2)

Therefore, the expression that represents the height of the triangle is (2x² + 8x + 8) / (x + 2).

The value of arctan (-√3/3) in degrees is 150

From the question, we have the following parameters that can be used in our computation:

the value of arctan (-√3/3) in degrees

This means that

x = arctan (-√3/3)

When evaluated, we have

x = -30

So, the angle is

Angle = 180 - 30

Evaluate

Angle = 150

Hence, the measure of the angle is 150 degrees

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The solutions to the problem of finding an answer to the given equation are:

[tex]x^2[/tex] ≡ 2 (mod 11) are x = 5 and x = 6.

The given congruence is quadratic, so it has at most two solutions. We can solve this by checking each possible value for x in the range [0,10] since we're working modulo 11.

For congruence [tex]x ^2[/tex]≡ 2 (mod 11), the solutions are x = 6 and x = 5. This is because [tex]6^2 = 36[/tex] ≡ 2 (mod 11) and [tex]5^2 = 25[/tex] ≡ 2 (mod 11).

The solutions to the problem of finding an answer to the given equation are:

[tex]x^2[/tex] ≡ 2 (mod 11) are x = 5 and x = 6.

Only two numbers between 0 and 10 match the given rule.

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If the sum of the balls is less than or equal to 9, purchase Choco Delight. If the sum is greater than 9, purchase Go Nuts.

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Explanation:

Use a spreadsheet or graph paper, to make a table with 5 rows and 5 columns. Label the headers as 1,2,5,7,10

Cross out the northwest main diagonal and everything below it. The cells not crossed out represent the different combos of sums possible.

Here's all of those combos:

The sums, listed from smallest to largest, are: {3,6,7,8,9,11,12,12,15,17}

I kept the duplicate in there to show there are 10 sums we can reach.

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Let's break things into two groups. We'll have stuff that's 9 or smaller in one group, and then stuff larger than 9 in another group.

Each group has the same number of values (5), which means this is a fair way to determine what kind of candy bar to pick. Each group is equally likely to be chosen. It's equivalent to a coin flip. This is why choice A is the final answer.

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Choices B through D lead to some imbalance which means it won't be a fair process. They can be ruled out.

For example, choice C will have these two groups

The first group has 6 values and the second group has 4 values. I'll let you check the others.

Answer:

Answer: the volume of the prism is 2160

Step-by-step explanation:

multiple the base and the area to get the volume

Answer:

C) 2√3

Step-by-step explanation:

This is a right triangle with one of the smaller angles = 45°

Therefore the other non-right angle = 45°

Therefore this is a right isosceles triangle with two legs equal

Each leg = √6

hypotenuse of a right isosceles triangle = √2 x a where a is each of the legs

y = √2 x √6 = √2 x √(2 x 3) = √2 x √2 x √3 = 2√3

Combinations, as a mathematical term, can be used in various real-world situations, like:

In Mathematics, we use combination when we are choosing things from a larger set of data without caring about the order of arrangement.

For instance, if you want to choose two out of three objects A, B, and C, the combinations would be (A, B), (A, C), and (B, C).

Thus, combinations can be used in gaming, data analysis, manufacturing, etc.

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Answer:

Let x be the number of mL of 25% alcohol mixture needed.

.05(15) + .25x = .20(15 + x)

.75 + .25x = 3 + .20x

.05x = 2.25

x = 45 mL

Answer:

Ruby: £18

Edward: £24

Claire: £27

David: £42

Emma: £45

Step-by-step explanation:

6 + 8 + 9 + 14 + 15 = 52

Each one receives the following fraction of the total:

Ruby: 6/52

Edward: 8/52

Claire: 9/52

David: 14/52

Emma: 15/52

Ruby: 6/52 × £156 = £18

Edward: 8/52 × £156 = £24

Claire: 9/52 × £156 = £27

David: 14/52 × £156 = £42

Emma: 15/52 × £156 = £45

Answer:

Ruby: £18

Edward: £24

Claire: £27

David: £42

Emma: £45

Answer:

Ruby=18, Edward=24, Charlie=27, David=42, Emma=45

Step-by-step explanation:

sum of ratios is 52

for each one write the ratio over the sum of ratio multiplied by total amount

[tex]\frac{6}{52} *156[/tex]=18

[tex]\frac{8}{52} *156[/tex]=24

[tex]\frac{9}{52} * 156[/tex]=27

[tex]\frac{14}{52} * 156[/tex]=42

[tex]\frac{15}{52} * 156[/tex]=45

and to check add all of them and they give 156 pounds

The inequality is solved and the solution is y = { -5 , -4 }

Given data ,

The set A can be defined as A = {y | y is an integer and -5 ≤ y < -3}.

Now , an integer is a whole number that can be positive, negative, or zero.

-5 ≤ y < -3: This is the condition or constraint placed on the values of y in set A. The inequality states that y must be greater than or equal to -5 but less than -3. In other words, y can take any integer value between -5 and -3, but it cannot include -3 itself.

Putting these two conditions together, the set A consists of all integers within the specified range, excluding -3. So, A = {-4, -5}.

Hence , the set A can be written as A = {-4, -5}, where y represents the elements in the set A that satisfy the given inequality conditions.

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[tex]A_{\triangle}=\dfrac{1}{2}\cdot 12\text{ in}\cdot 4\text{ in}=24\text{ in}^2\\\\A_{\square}=12\text{ in}\cdot 9\text{ in}=108\text{ in}^2\\\\A_{\text{Figure}}=A_{\triangle}+A_{\square}=24\text{ in}^2+108\text{ in}^2=132\text{ in}^2[/tex]

Answer:

132

Step-by-step explanation:

First calculate the area of the triangle, Triangle area formula is 1/2 B x H meaning we'd have to do 4 x 12 which gives us 48. Then we half 48 and get 24. We then calculate the area of the rectangle which is L x W so we do 9x 12 and get 108 we add the two numbers and get 132.

Answer:

Option A: $44746

Step-by-step explanation:

Step 1:

6.95% of $51000 = 3544.5

Federal & state Tax = $2250 + $460 = $2710

Total tax deducted = 3544.5 + 2710 = $6254.5

So,

$51000 - $6254.5 = $44,746.

The Volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

The volume of each bead, the volume of a sphere using its diameter. The formula for the volume of a sphere is given by:

V = (4/3) * π * r^3

where V is the volume and r is the radius of the sphere.

Given that the diameter of each bead is 1.5 millimeters, we can calculate the radius as half of the diameter:

r = 1.5 mm / 2 = 0.75 mm

Now, we can substitute the value of the radius into the volume formula:

V = (4/3) * π * (0.75 mm)^3

Using the value of π ≈ 3.14 and performing the calculations:

V ≈ (4/3) * 3.14 * (0.75 mm)^3

V ≈ (4/3) * 3.14 * 0.421875 mm^3

V ≈ 1.767 mm^3 (rounded to the nearest tenth)

the volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

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Answer:

0.42

Step-by-step explanation:

there are two sides to a coin. there are six sides to a die.

P(tails) = 1/2.

P(not landing on 6) = 1 - P(landing on 6) = 1 - 1/6 = 5/6.

P(tails AND not landing on 6) = 1/2 X 5/6 = 5/12 = 0.42 to nearest hundredth

Answer:

The five consecutive integers are -26, -25, -24, -23, -22.

Step-by-step explanation:

Let's assume the first consecutive integer is "x."

The five consecutive integers can be represented as follows:

x, x+1, x+2, x+3, x+4

According to the given condition:

7 times the first (7x) plus 7 times the third (7(x+2)) is equal to 70 less than 4 times the sum of the second (4(x+1)), fourth (4(x+3)), and fifth (4(x+4)).

Mathematically, we can express this as:

7x + 7(x+2) = 4[(x+1) + (x+3) + (x+4)] - 70

Simplifying the equation:

7x + 7x + 14 = 4(3x + 8) - 70

14x + 14 = 12x + 32 - 70

14x + 14 = 12x - 38

2x = -52

x = -26

Substituting the value of x back into our assumption, we get:

The five consecutive integers are -26, -25, -24, -23, -22.

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Answer: 13

Step-by-step explanation:

The integers will be represented as

X, X+1, X+2,X+3,X+4 since they are consecutive

The equation will be

X+7(x+2)=4(x+1+x+3+x+4)-70

multiply to get rid of parentheses then add like terms

x+7x+14= 4x+4+4x+12+4x+16-70

8x +14= 12x-38

Subtract 8x from both sides

Add 38 to both sides

52=4x

divide by 4

x=13

the five consecutive integers are 13,14,15,16,17

The Class width is $18 and the complete table is shown below.

To determine the class width, we divide the upper limit of the sixth class ($108) by the number of classes (6):

Class width = $108 / 6 = $18

Based on this class width, we can determine the class limits, boundaries, and midpoints for a grouped quantitative data table:

Class Limits:

$1 - $19

$20 - $38

$39 - $57

$58 - $76

$77 - $95

$96 - $114

Upper limit exceeds maximum value, so it can be adjusted.

Class Boundaries:

$0.5 - $19.5

$19.5 - $38.5

$38.5 - $57.5

$57.5 - $76.5

$76.5 - $95.5

$95.5 - $114.5

Class Midpoints:

$10

$29

$48

$67

$86

$105

Here, the upper limit of the sixth class has been adjusted to $114.5 to account for the maximum value of $108 in the data set.

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The exact value of the expression is given as follows:

sin(585º) = [tex]-\frac{\sqrt{2}}{2}[/tex]

The expression in the context of the problem is given as follows:

sin(585º).

The remainder of the division of 585º by 360º is given as follows:

225º.

Hence the expression is given as follows:

sin(585º) = sin(225º).

The angle of 225º is on the third quadrant, where the sine is negative, and the equivalent angle is of 225 - 180 = 45º, hence:

sin(585º) = sin(225º) = -sin(45º) = [tex]-\frac{\sqrt{2}}{2}[/tex]

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Baez has had a total of 32 at bats in the last 7 games.
31.25% = 10/32
which is true.

To solve this problem, we can use a proportion. We know that Baez has hit 31.25% of the time, which means he has hit 31.25 out of 100 times. If we let x be the total number of at bats Baez has had, we can set up the proportion:

31.25/100 = 10/x

To solve for x, we can cross-multiply:

31.25x = 1000

x = 32

It's important to note that hitting percentage is calculated by dividing the number of hits by the number of at bats,

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x³ = 1  is not a linear equation because the variable x is raised to the power of 3, which makes it a cubic equation.

Linear equations are equations in which the highest power of the variable(s) is 1.

They can be expressed in the form "y = mx + b," where m is the slope and b is the y-intercept.

Linear equations represent straight lines on a graph.

y = -4 is a linear equation with a slope of 0 and a y-intercept of -4.

x³ = 1  is not a linear equation because the variable x is raised to the power of 3, which makes it a cubic equation.

2x - 4y = 1 is a linear equation in standard form.

It can be rewritten as -4y = -2x + 1 or y = (1/2)x - 1/4. It represents a straight line.

y = x - 2 is a linear equation with a slope of 1 and a y-intercept of -2.

It represents a straight line.

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Answer: The transformation g(x) = f(2x) will produce the values given in the g(x) column of the table.

Step-by-step explanation: The transformation of f(x) that will produce g(x) is g(x) = f(2x).

In the given table, we can observe that the values of g(x) are equal to the corresponding values of f(x) when x is multiplied by 2. This indicates that g(x) is obtained by applying a horizontal compression or shrinking to f(x) by a factor of 2.

By substituting 2x into the function f(x), we can see that the values match those in the g(x) column:

f(2x) = f(-4) = 5

f(2x) = f(-2) = 2

f(2x) = f(0) = 1

f(2x) = f(2) = 5

f(2x) = f(4) = 10

Hence, the transformation g(x) = f(2x) will produce the values given in the g(x) column of the table.

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Answer:

[tex]3.10\times 10^{-12}[/tex] seconds

Step-by-step explanation:

The explanation is attached below.

The probability that an international flight leaving the United States is delayed in departing given that the flight is a transpacific flight is 0.2419 (approx).

Given that the probability that an international flight leaving the United States is delayed in departing (event D) is .31. The probability that an international flight leaving the United States is a transpacific flight (event P) is .62.

The probability that an international flight leaving the U.S. is a transpacific flight and is delayed in departing is .15.

(a) What is the probability that an international flight leaving the United States is delayed in departing given that the flight is a transpacific flight?

Solution:Given, P(D) = .31, P(P) = .62 and P(D ∩ P) = .15P(D | P) = Probability that the flight is delayed in departing given that it is a transpacific flight.By using Bayes' theorem,P(D | P) = P(D ∩ P) / P(P)

We have, P(D ∩ P) = .15 and P(P) = .62 Substitute these values in the above equation,P(D | P) = .15 / .62 = 0.2419 (approx)Note:Bayes’ Theorem is named after Reverend Thomas Bayes, who first proposed the approach in the 18th century. It is a mathematical formula that helps to calculate conditional probabilities.

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An impact study is a systematic examination of the effects, consequences, or outcomes resulting from a particular intervention, policy, program, or event.

Impact study on renewable energy projects: This study would assess the impact of renewable energy initiatives, such as solar or wind farms, on the local economy, job creation, energy security, carbon emissions, and social development. It would analyze the benefits and challenges associated with the adoption of renewable energy sources in the country.

Impact study on land reform policies: This study would examine the consequences of land reform policies on agricultural productivity, rural livelihoods, social cohesion, economic growth, and political stability. It would assess the effectiveness and equity of land redistribution programs and their impact on landowners, farmers, and local communities.

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Answer:

its B

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

The domain and range of the inverse of the function are (-∞, ∞) and the inverse does not have a point of symmetry

Different traits or qualities that characterize a function's behavior and characteristics are referred to as its properties. Several typical characteristics of functions include:

1. Domain: The set of all conceivable input values (x-values) for which a function may be defined is known as the function's domain. It displays the possible values for the independent variable.

2. Range: The collection of all potential output values (y-values) that a function can generate is known as its range. It displays the possible values for the dependent variable.

These are just few examples;

In the given function;

f(x) = 4(x - 3)³ + 6

The inverse of the function is;

f⁻¹(x) = 4(x - 3) + 6

The point of symmetry of f⁻¹(x) = The function is not symmetric

The domain of the function = (-∞, ∞)

The range of the function = (-∞, ∞)

f⁻¹(x) is a function

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Answer:

f(5) = -10

Step-by-step explanation:

Let's go through the calculation step by step to find the value of f(5) using the given recursive formula f(n) = f(n-1) - 3.

Start with the initial value f(1) = 2, as given in the problem.

To find f(2), we use the recursive formula f(n) = f(n-1) - 3. Since n = 2, we have f(2) = f(1) - 3. Plugging in the value of f(1) as 2, we get f(2) = 2 - 3 = -1.

Continuing the pattern, we find f(3) = f(2) - 3 = -1 - 3 = -4. We subtract 3 from the previous term f(2) to obtain f(3).

Moving on, f(4) = f(3) - 3 = -4 - 3 = -7. Again, we subtract 3 from the previous term f(3) to calculate f(4).

Finally, f(5) = f(4) - 3 = -7 - 3 = -10. Following the recursive formula, we subtract 3 from the previous term f(4) to determine f(5).

Therefore, the value of f(5) is -10.

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