Please help I’ve provided picture below Algebra 2

The two types of frequency distributions are Discrete Frequency Distribution and Grouped Frequency Distribution

The two types of frequency distributions are;

When the data consists of discrete, separate values, this sort of distribution is used. It displays the frequency or number of occurrences of each value.

The data is often expressed in a table with two columns: one for distinct values and another for the frequencies of those values.

This distribution is utilized when the data is continuous and has a wide range of values. It entails categorizing the data into intervals or classes and then calculating the frequency of values that fall within each interval.

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Answer:

=0.70

Step-by-step explanation:

p(x < 51.4) = (51.4-50.0)/(52.0-50.0)

p(x < 51.4) =1.4/2

=0.70

Answer:

Step-by-step explanation:

The growth rate of the investment is represented by the constant multiplier in the exponential term of the formula y = 20000(1.035)x. In this case, the constant multiplier is 1.035, which represents the annual growth rate of the investment account.

To calculate the growth rate as a percentage, we can subtract 1 from the constant multiplier, and then multiply the result by 100.

So, the growth rate of the investment is:

1.035 - 1 = 0.035

0.035 * 100 = 3.5%

Therefore, the growth rate of the investment is 3.5%.

The value of the resistor needed in this scenario is approximately 1.2 ohms.

To find the value of the resistor in the given scenario, we can apply Ohm's Law, which states that the current (I) flowing through a resistor is directly proportional to the voltage (V) across it, and inversely proportional to the resistance (R) of the resistor.

Using Ohm's Law, we have the formula:

V = I * R

Where:

V is the voltage across the resistor (12 volts in this case),

I is the current flowing through the resistor (5 amps for each light, so a total of 10 amps),

R is the resistance of the resistor (which we need to find).

Rearranging the formula, we have:

R = V / I

Plugging in the values:

R = 12 volts / 10 amps

R = 1.2 ohms

Therefore, the value of the resistor needed in this scenario is approximately 1.2 ohms.

It's worth noting that this calculation assumes the lights are connected in parallel, as the current remains the same for each light. If the lights were connected in series, the total resistance would be the sum of the individual resistances, and the calculation would be different.

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Answer:

64

Step-by-step explanation:

2, 6, 28, 23,7.64.

because 64 is the furthest away from any other number

Answer:

0.3

Step-by-step explanation:

Let x be what you need to subtract

I hope this helps!

Answer:

3/10

Step-by-step explanation:

83/10 - 3/10 = 80/10 = 8

Option 'c' will be the answer.

Answer:

x = 0

Step-by-step explanation:

-3x + 6(-2+5x) = -12

-3x - 12 + 30x = -12

27x = 0

x = 0

Answer:

7m and 17m

Step-by-step explanation:

The length would be between 7m and 17m. This is because since the sum of two sides of a triangle must be greater than the third side. The sum of the third side and 6 must give us something greater than 12. This means the least the length can be is 7m. Since 6+12=18, the third side also has to be less than 18. This means the greatest the length can be is 17m.

Answer:

Step-by-step explanation:

Confidence interval for the difference in the two proportions is written as

Difference in sample proportions ± margin of error

Sample proportion, p= x/n

Where x = number of success

n = number of samples

For the first brochure,

x = 100

n1 = 500

p1 = 100/500 = 0.2

For the second brochure

x = 125

n2 = 500

p2 = 125/500 = 0.25

Margin of error = z√[p1(1 - p1)/n1 + p2(1 - p2)/n2]

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.025 = 0.975

The z score corresponding to the area on the z table is 1.96. Thus, the z score for confidence level of 95% is 1.96

Margin of error = 1.96 × √[0.2(1 - 0.2)/500 + 0.25(1 - 0.25)/500]

= 1.96 × √0.000695

= 0.052

Confidence interval = (0.2 - 0.25) ± 0.052

= - 0.05 ± 0.052

Answer:

Is the answer to the :

1st is 9

2nd is 17

3rd is 20

4th is 5

5th is 6

If it helps you....then please mark brainliest

Step-by-step explanation:

To determine whether a transformation is one-to-one or onto, one must analyze its behavior and properties, such as passing the horizontal line test for one-to-one or checking if the range equals the codomain for onto.

In mathematical terms, a transformation refers to a function that maps elements from one set, called the domain, to another set, called the range. A transformation is said to be one-to-one if no two distinct elements in the domain are mapped to the same element in the range. This means that each element in the range is associated with a unique element in the domain.

On the other hand, a transformation is onto if every element in the range is mapped to by at least one element in the domain. In other words, for each element in the range, there exists at least one element in the domain that maps to it.

To determine whether a transformation is one-to-one or onto, one can analyze its properties and behavior. For example, a transformation is one-to-one if and only if it passes the horizontal line test. This means that no two points in the domain map to the same point on a horizontal line. To determine if a transformation is onto, one can check if the range of the transformation equals the codomain.

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The given question is incomplete, the complete question is:

How to determine the transformation is one to one and/or onto?

The equation of the line passing through point C and perpendicular to line AB is: y = -6/5x - 20/5 + 2

The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. B is the b in the location where the y-intercept is located (0, b). For instance, the slope and y-intercept of the equation y = 3x - 7 are 3 and 0, respectively.

m = (y2 - y1) / (x2 - x1)

Where (x1, y1) and (x2, y2) are the coordinates of two points on the line. Using the coordinates of points A and B, we have:

m = (4 - 9) / (8 - 2) = -5 / 6

The slope of a line perpendicular to this line would be the negative reciprocal of this slope, so:

m= -1 / m = -6 / 5

Next, we can use the point-slope form of a line to find the equation of the line, which is:

y - y1 = m * (x - x1)

Substituting the values for m, x1, and y1 (where x1 and y1 are the coordinates of point C), we have:

y - (-2) = -6/5 * (x + 3)

Simplifying and solving for y, we get:

y = -6/5 * x - 20/5 + 2

So, the equation of the line passing through point C and perpendicular to line AB is: y = -6/5x - 20/5 + 2

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Answer:

2.5 bottles or 3 bottles

Step-by-step explanation:

Given that :

Dimension of lot :

22.5 yds by 20.4 yds

Area of lot = 22.5 * 20.4 = 459 yd²

Volume per bottle of herbicide = 12 fl oz

1.1 fl oz combined with water treats an area of 155 ft²

Number of 1.1 fl oz from 12 fl oz that can be obtained : 12 / 1.1 = 10.90

1 yard² = 9 feet²

459 yard² = (459 * 9) = 4131 feet²

Number of 151 feet² that can be obtained from 4131 feet²

4131 feet² / 155 ft²

= 27.3576 times

= 27.3576 / 10.909

= 2.507

This means he'll have to buy a minimum of 3 bottles if a fraction of a bottle can't be purchased.

Answer:

  see attached

Step-by-step explanation:

You want the graph of the solutions to the inequalities ...

The attachment shows the graph of these inequalities. The solution space in which (x, y) values satisfy all of these inequalities is the triangle bounded by the indicated points. The lines between these points are part of the solution space, since all of the inequality symbols include "or equal to."

The solution to y +3x ≥ 0 is to the right of the line with negative slope.

The solution to 3x -5y ≤ 10 is to the left of the line with positive slope.

The solution to y ≤ 4 is below the horizontal line.

Using the formula for the midpoint of the line with given points  A and B as the end points of the line, the coordinates of the point B is (6,-8).

To find the midpoint of a line segment, you must first find the coordinates of the two endpoints of the segment. Then, take the average of the x-coordinates and the y-coordinates to find the x and y coordinates of the midpoint. This can be done by adding the x-coordinates and y-coordinates of the two endpoints together and then dividing by 2.

What is the formula for finding the midpoint of a line segment?

The formula for finding the midpoint of a line segment is:

Midpoint = ( (x1+x2)/2 , (y1+y2)/2 )

Where (x1,y1) and (x2,y2) are the coordinates of the two endpoints of the line segment.

Using the given coordinates of point A(8,-6) and the midpoint M(7,-7) of the line,  and using the midpoint formula for a line AB,

Midpoint(M) = \((\frac{x1+x2}{2},\frac{y1+y2}{2} )\)

where x1, y1 are coordinates of point A , and x2, y2 are the coordinates of point B

so , (7,-7) = \((\frac{8+x2}{2} , \frac{-6+y2}{2})\)

equating the corresponding points,

7 =(8+x2)/2

therefore, x2 = 6

and , -7 = (-6+y2)/2

therefore , y2 = -8

Hence the coordinates of B is , (x2,y2 ) = (6,-8)

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The distinguishing feature between a square and a rectangle is that all sides of a square are equal in length.

Yes, a square is a special type of rectangle because it possesses all the properties of a rectangle.

The distinguishing feature of a rhombus is that all sides are equal in length, while a parallelogram can have unequal side lengths.

Yes, a rhombus is a special type of parallelogram because it possesses the properties of a parallelogram and has all sides equal in length.

The three features used to describe 3-dimensional objects are faces, edges, and vertices.

The common properties between a square and a rectangle are that both have four sides, four right angles (90 degrees), and opposite sides that are parallel. The distinguishing feature is that all sides of a square are equal in length, while a rectangle can have unequal side lengths.

Yes, a square is a special type of rectangle. A rectangle is defined as a quadrilateral with four right angles, while a square is a specific type of rectangle where all sides are equal in length. Since a square possesses all the properties of a rectangle, including four right angles, it can be considered a special case of a rectangle.

The common properties between a rhombus and a parallelogram are that both have four sides and opposite sides that are parallel. The distinguishing feature of a rhombus is that all sides are equal in length, while in a parallelogram, the opposite sides are equal in length.

Yes, a rhombus is a special type of parallelogram. A parallelogram is defined as a quadrilateral with opposite sides that are parallel. A rhombus possesses this property, but it also has the additional feature of having all sides equal in length. Therefore, a rhombus can be considered a special case of a parallelogram.

The three features used to describe 3-dimensional objects are:

Faces: The flat surfaces that make up the object.

Edges: The lines where two faces intersect.

Vertices: The points where multiple edges meet.

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Answer:

180°

Step-by-step explanation:

The diagram for this question has been attached to this response.

From the diagram;

(i) ∠2 and ∠6 are equal since they are corresponding angles. This implies that the measure of angle 2 (m∠2) is equal to the measure of angle 6 (m∠6). i.e

m∠2 = m∠6       ---------(a)

But m∠2 = 40°

Substitute this into equation (a) as follows;

40° = m∠6

∴ m∠6 = 40°

(ii) ∠1 and ∠2 are supplementary. This implies that the sum of the measures of angle 1 (m∠1) and angle 2(m∠2) is equal to 180°. i.e

m∠1 + m∠2 = 180°      ------------------(b)

But m∠2 = 40°

Substitute this into equation (b) as follows;

m∠1 + 40° = 180°

m∠1 = 180° - 40°

m∠1 = 140°

(iii) The measure of ∠1 + ∠6 is given by;

m∠1 + m∠6

Substitute the values of m∠1 = 140° and m∠6 = 40° into the expression to get

m∠1 + m∠6 = 140° + 40°

m∠1 + m∠6 = 180°

Therefore the measure of  ∠1 + ∠6 is 180°

The system of equations which this graph represent include the following:

A. y = x² + 2

   y = x + 4

In Geometry, the point-slope form of a straight line can be calculated by using this equation:

y - y₁ = m(x - x₁)

Where:

First, we would find the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 3)/(2 + 1)

Slope (m) = 3/3

Slope (m) = 1.

At data point (-1, 3) and a slope of 1, an equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 3 = -1(x + 1)

y = -x + 4

For the quadratic equation, we have;

y = a(x - h)² + k

6 = a(-2 - 0)² + 2

4 = a4

a = 4/4

a = 1

Therefore, the required quadratic function is given by:

y = a(x - h)² + k

y = (x - 0)² + 2

y = x² + 2

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Missing information:

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

Answer:

y = -13

Step-by-step explanation:

5y + 2(y - 2) = 8y - 3(7 - 10)

5y + 2y - 4 = 8y - 21 + 30

7y - 4 = 8y + 9

-4 = y + 9

-13 = y

y = -13

The dot in the graph of the inequality, x > 5, will be opened

From the question, we are to determine if the dot in the graph of the given inequality will be opened or closed

The given inequality is x > 5

If the sign of an inequality has the equals sign included, that is greater than or equal to (≥) OR less than or equal to (≤), the dot in the graph will be closed.

But if the inequality is less than or greater than (< or >), the dot in the graph will be opened.

Hence,

The dot in the graph of x > 5 will be opened since the inequality sign is not greater than or equal to (≥) OR less than or equal to (≤).

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Answer:

Angle 1: Can be measures of triangle: 84

Cannot be angle measures of triangle: 49, 47

Angle 2: Can be measures of triangle: none

Cannot be angle measures of triangle: 50,89,50

Angle 3: Can be angle measures of triangle: 75, 15, 45

Cannot be angle measures of triangle: none

Angle 4: Can be angle measures of triangle: none

Cannot be angle measures of triangle: 25, 22, 133

Answer:

-10/16

Step-by-step explanation:

-7z3=-10 and 7-(-9)=16

Lowest degree polynomial with f(0) = 960 with zeros of -4 (multiplicity 3), 3(multiplicity 1). The polynomial is f(x)=-5(x+4)³(x-3).

Given that,

Lowest degree polynomial with f(0) = 960 with zeros of -4 (multiplicity 3), 3(multiplicity 1)

We have to find the polynomial of f(x) which satisfy the conditions.

Here,
We have the zeros of the polynomial are -4 (multiplicity 3), 3(multiplicity 1)

Which we can write as -4,-4,-4,3 are the zeros.

Then we can write the polynomial as

f(x)=ω(x+4)³(x-3)

We have to first find the value of ω.

So,

We have f(0)=960

ω(0+4)³(0-3)=960

ω(4)³(-3)=960

64ω(-3)=960

-192ω=960

ω=960/-192

ω=-5

We got the ω as -5.

The polynomial f(x)=-5(x+4)³(x-3)

Therefore, the polynomial is f(x)=-5(x+4)³(x-3).

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The simplified version of the expression would be 31-w

The numerical part of the expression given is :

Simplifying using Subtraction operation:

Adding the alphabetical part :

Therefore, the simplified form of the expression is 31-w.

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The addition equation or a subtraction equation to describe the diagram is (-9)—(-4) = -13

We know that,

In a mathematical operation we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have a line graph shown in the picture.

The small arrow represents the length of 4 but as it is indicating negative direction, so we take -4

Similarly, the big arrow represents the length of 9 as it is indicating negative direction, so we take -9

The sum of the lengths:

(-9)—(-4) = -13

Thus, the addition equation or a subtraction equation to describe the diagram is (-9)—(-4) = -13

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Answer:

I only know two right answers.

A: The center of dilation is point C.

C: It is an enlargement.

E: The scale factor is 2/5.

Step-by-step explanation:

These two answers are correct because When you look in the center you see a C.

You tell if it is a reduction because the pre image is small but the image is big.

The center of dilation is point C.

It is an enlargement.

The scale factor is 2/5

The correct options are D, F, H.

Resizing an item uses a transformation called dilation. Dilation is used to enlarge or shorten the structures. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation.

Given:

The transformation of the figure is dilation.

The figure is given in the attached image.

From the diagram:

The center of dilation is point C.

It is an enlargement.

The scale factor is 2/5

Therefore, all the correct statements are given above.

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The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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The intervals are denoted as:

Closed intervals = [a, b]

This interval includes a and b.

Open intervals = (a, b)

This interval does not include a and b.

The interval that denotes the values between -4 and 3 on the given number line is [-4, 3].

What are intervals?

The intervals are numbers or values between two given point

The intervals are denoted as:

Closed intervals = [a, b]

This interval includes a and b.

Open intervals = (a, b)

This interval does not include a and b.

We have

A number line.

The set of values that is in the blue line is from -4 to 3.

This means that the blue line includes values from -4 to 3.

There are infinite numbers between -4 to 3.

The blue line denoted that the values -4 and 3 are also included.

The interval that denotes the values between -4 and 3 is:

= [-4, 3]

Thus,

The interval that denotes the values between -4 and 3 on the given number line is [-4, 3].

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