Cherri brought $2,100 computer on an installment plan. She made a $400 down payment, and she has to make a monthly payment for $79. 50 for the next two years. How much interst will she pay

The mean, variance, and standard deviation for the probability distribution given are A. Mean = 5.5; B. Variance = 13.875; C. Standard Deviation = 3.722.

The mean, variance and standard deviation of the probability distribution can be calculated using the formula. The mean is calculated by summing up the product of all the values and their respective probabilities and then dividing it by the total probability. In this case, the mean is calculated as:

(1*0.587 + 3*0.115 + 9*0.21 + 12*0.088)/(0.587 + 0.115 + 0.21 + 0.088) = 5.5.

The variance is calculated by summing up the product of the squares of the values and their respective probabilities and then dividing it by the total probability. In this case, the variance is calculated as:

(1^2*0.587 + 3^2*0.115 + 9^2*0.21 + 12^2*0.088)/(0.587 + 0.115 + 0.21 + 0.088) = 13.875.

The standard deviation is the square root of the variance and it is calculated as √13.875 = 3.722.

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Answer: (-4, -6)(9, 2):

y=8/13x - 46/13 (Point slope form: y + 6 = 8/13 *(x+4)

If we assume that Cal lives between Beverly and Alex: so the distance between the two of them is 11-4 = 7 miles.

Number line is a line contain every real numbers which includes all rational and irrational number. Generally we use it for determining ranges of a set. Using number line we can understand range and domain of function easily. A number line is a picture representation of real numbers evenly laid out on a straight line.

The distance from zero of a positive number r is simply r. But if r is negative, then we make a positive number by multiplying by -1, in other words -r is the distance in that case.

There is a standard mathematical function that does this, called the modulus function.

And whether r is positive or negative we write it like this |r|

So for example |100|=100 and |-100|=100 as well.

Alex is 11 miles away, and Cal is 4 miles away, so the distance between the two of them is 11-4 = 7 miles.

If we assume that Cal lives on the opposite side of Beverly from Alex:

Alex is 11 miles away from Beverly, and Cal is 4 miles away from Beverly in the opposite direction from Alex, so the distance between Alex and Cal is 11 + 4 = 15 miles.

The easiest way to see this is by creating a number line.

(for the first possible solution) If you put Beverly as a point, let's call it 0, then we would put Alex at 11 and Cal at 4, and the distance between them is 7.

(for the second possible solution) If you put Beverly as a point, 0, then we would put Alex at 11 and Cal at -4, and the distance between them is 15.

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Therefore ,the answer to the above trigonometry issue is therefore that the river is 70 feet wide.

The study of the connections between the angles and sides of triangles is known as trigonometry. Due to the fact that each straight-sided figure may be reduced to a collection of triangles, trigonometry is commonly utilized in geometry. There are a mind-boggling number of connections between trigonometry and other branches of mathematics, especially algebra, real or complex, integrals, logarithms, and infinite series.

Here,

Figure depicts a right triangle which, in relation to angle, its next side has length d or its wrong side is equal to the river's width, y. As a result,

tanθ= d/ y

=> y=dtanθ

=> y = (100m)tan(35.00)=70ft

The river measures 70 feet in width.

As a result, the trigonometry problem's answer indicates that the river's width is 70 feet.

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When selecting four coins from a jar containing quarters, loonies, and toonies, there are a total of 27 unique combinations.

This can be calculated by using the formula for combination, which is nCr.

In this case,

n is the total number of coins in the jar (3) and

r is the number of coins selected (4).

Therefore, 3/(4(3-4)) = 3/0 = 3/1 = 3,

which is the number of possible combinations in the jar for the quarters, loonies, and toonies. When you multiply 3 by 3, you get 9, and when you multiply 9 by 3 again, you get 27.

Therefore, there are 27 unique coin combinations when selecting four coins from the jar.

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Identification if a polynomial is a sum or difference of two cubes can be done by factorizing the provided polynomial.

A polynomial is a mathematical expression that is a sum of one or more terms. Each term is a constant or a variable raised to a non-negative integer power and multiplied by a coefficient. The degree of a polynomial is the highest degree of the terms in the expression. A polynomial with one variable is called a univariate polynomial, and a polynomial with more than one variable is called a multivariate polynomial. Polynomials are used in various areas of mathematics, physics, engineering, computer science, and other fields. They can be used to model a wide range of phenomena and to solve problems that involve polynomial equations or inequalities.

Factorization, also known as factoring, is the process of breaking down a mathematical expression into a product of simpler factors. The goal is to express a given expression as a product of simpler expressions, which can be useful in solving equations and understanding the structure of the expression.

Factor the polynomial completely into its irreducible factors.

Look for terms that are of the form (x - a)^3 or (x + a)^3, where a is a constant. These are the cubes that you are looking for.

If there are two such terms, check if they can be combined into a single term by adding or subtracting them. If they can, then the polynomial is a sum or difference of two cubes.

If there are more than two such terms, check if any two of them can be combined in the same way. If they can, then the polynomial is a sum or difference of two cubes.

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The values for figure is  x = 2, y = 9,

GH = 8, GJ = 7,

FE = 3, GE = 7​.

A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.

The Latin words quadra, which means four, and latus, which means sides, are combined to form the English word quadrilateral. A quadrilateral does not always have to have equal lengths on each of its four sides.

Given figure shows

GH parallel to EG

GH = EG

GH = 3y - 19

EG = 8

3y - 19 = 8

3y = 27

y = 9

GH = 3y - 19 = 3(9) - 19 = 8

and GJ parallel  to JE

GJ = JE

GJ = 3x + 1

JE = 5x - 3

3x + 1 = 5x - 3

5x - 3x = 1 + 3

2x = 4

x = 2

values are,

GJ = 3x + 1 = 3(2) + 1 = 7

JE = 5x - 3 = 5(2) - 3 = 7

FE = 6x - y

substitute values,

x = 2, y = 9

FE = 6x - y = 6(2) - 9 = 12 - 9 = 3

Hence x = 2, y = 9

GH = 8, GJ = 7,

FE = 3, GE = 7​.

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Answer:

2nd choice:  -3x - 5 = 10

Step-by-step explanation:

10 - x = -5

-x = -5 - 10 = -15

-3x - 5 = 10

-3x = 10 + 5

x = 15/-3 = -5

The probability that the sample mean is between 1300 and 1400 is approximately 1.34%.

We can use the Central Limit Theorem and the standard normal distribution to calculate the probability that the sample mean is between 1300 and 1400. The Central Limit Theorem states that as the sample size increases, the distribution of the sample means will approach a normal distribution, regardless of the distribution of the population.

Since we have a sample of 80 observations, we can assume that the sample mean follows a normal distribution with a mean of 1460 (the population mean) and a standard deviation of:

Standard deviation of the sample mean

= population standard deviation ÷ [tex]\sqrt {sample size[/tex]

[tex]= 270 \div \sqrt{80} = 27[/tex]

So the standard deviation of the sample mean is 27.

We can now standardize the interval between 1300 and 1400 by subtracting the mean and dividing it by the standard deviation of the sample mean.

[tex]Z_1[/tex] = (1300 - 1460) / 27 = -2.59

[tex]Z_2[/tex] = (1400 - 1460) / 27 = -2.22

We need to find the area under the standard normal distribution curve between Z1 and Z2.

Using a standard normal table or a calculator with the standard normal distribution function, we can find the probability that a random variable from the standard normal distribution is between -2.59 and -2.22. This probability is approximately 0.0134 or 1.34%.

Therefore, the probability that the sample mean is between 1300 and 1400 is approximately 1.34%.

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The length of y using sine rule is 6664.2 inches

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

in this case w/sinW = y/sinY

Y = 180-(55+42)

Y = 180-(97)

Y = 83°

Therefore 470/sin55 = y/sin83

470× sin83 = y sin55

= 466.50 = 0.707y

divide both sides by 0.707

y = 466.50/0.707

y = 6664.2 inches

therefore the length of y is 6664.2 inches

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Answer:Sorry cant find

Step-by-step explanation:

Answer:

Step-by-step explanation:

No, some people don't like certain things. It like saying that you pick five random people who are at a science fair and ask them if they like science, the answer would be yes, but if you went to Walmart and asked five random people if they liked science your answers would most likely end up being no. It's the same way looking at the magazines.

Answer:

19%

Step-by-step explanation:

First, we have to find how much did he spend by taking

$575.00 - $465.75 = $109.25

Then we find the percentage decrease by taking

109.25 divided by 575, then times 100% = 19%

So,  the percentage decrease of the amount of available credit in Dylan's account is 19%

Answer:

2 pounds of cheese

Step-by-step explanation:

First, we have to find out how much did she pay by taking

$5.00 - $1.40 = $3.60

So, she paid $3.60 in total. Then we find how many pounds of cheese she bought by taking

3.60 / 1.80 = 2 pounds of cheese

So, she bought 2 pounds of cheese.

Two graph functions can be compared by analyzing their shape, direction, and relative position.

To compare two graph functions, one must look at the overall shape of the graphs, which can be either linear, quadratic, cubic, or some other shape. The direction of the graph, whether it's increasing or decreasing, should also be considered. The relative position of the graph, including the x and y intercepts, as well as any asymptotes, should also be considered.

Additionally, it's important to examine the domain and range of the function, which are the set of input values and output values that the function can produce, respectively. By comparing these different aspects of the graph, one can determine the similarities and differences between the two functions and draw conclusions about their behavior.

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The probability of getting 2 blue is 1/9.

You are choosing replacement marbles. The trials (marble selections) are independent from one another and follow the binomial distribution.

1/3 of the time, a blue marble will be the first one chosen.

(This is due to the fact that 4 out of 12 marbles are blue, therefore 4/12 equals 1/3.

A blue marble is 1/3 more likely to be chosen the second time.

The two probabilities can be multiplied to obtain the following results because the marble selections are independent:

The likelihood of receiving two blues is (1/3)2 =1/9.

Therefore, there is a 1/9 chance of obtaining two blues.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

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Answer:

-3x + 549

Step-by-step explanation:

The order of operations is PEMDAS(parenthesis, exponents, multiplication, division, addition, subtraction)

So, according to PEMDAS, the first thing that we would do is solve the parenthesis. Since we can't solve the parenthesis because they aren't like terms, we're going to use distributive property to solve it instead.

-3(x+8) = -3(x) + -3(8) = -3x -24

Now we have: -3x - 24 ^ 2 -3

Our next step is to solve the exponent

24 ^ 2 or 24 x 24 = 576

Now we have: -3x - 24 + 576 -3

Our next step would be to add and subtract the like terms

-24 + 576 = 552 and 552 - 3 = 549

Now we have: -3x + 549

This would be the simplest form of the equation because -3x and 549 are not like terms

The answer for it is r = -4 :))

The average value of both f(x) and g(x) on 0≤x≤2 is 1/4. The average value of (f.g) on 0≤x≤2 is 0 and the statement avg(f) . avg(g) = avg(f . g) is false.

avg value of a function = 1/(b - a) ∫f(x) with limts a and b. Here a and b are the constraints under which the average has to be calculated.

a)

Hence average value of f(x) on 0≤x≤2

= 1/2 ∫f(x)  with 0 and 2 as intervals

Since integration is basically the area under the curve we get

avg of f(x) = 1/2[area under curve from 0 to 1 + Area under the curve from 1 to 2]

Since from 0 to 1, the figure is a triangle and beyond that a straight line we get

1/2[1/2 X 1 X 1 + 0]

= 1/4 sq units

b)

Similarly, the average value of g(x) on 0 ≤ x ≤ 2

1/2[area from 0 to 1 + area from 1 to 2]

= 1/2[0 + 1/2]

= 1/4 sq units

c) here we need to find the average of f(x) . g(x)

Here we see that f(x) is 0 from x = 1 to x = 1 while g(x) id 0 from x = 0 from x = 1

Hence we see that on multiplying the functions, the resultant has to be a 0 function.

Hence its average value will be 0.

d)

Average(f) . Average(g) = 1/4 X 1/4

= 1/16

Average of (f.g) = 0

Hence the statement is false

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Complete Question

The figure attached to the left is a graph of f(x), and below to the right is g(x).

The figure below to the left is a graph of f(x), a

(a) What is the average value of f(x) on 0≤x≤2? avg value = __________

(b) What is the average value of g(x) on 0≤x≤2? avg value = __________

(c) What is the average value of f(x) . g(x) on 0≤x≤2? avg value = _________

(d) Is the following statement true?

Average(f) . Average(g)=Average(f.g)

A. Yes

B. No

The Triangle Similar to ΔABC is ΔDEF in which m <E = 80 and m <F = 35.

The Correct option is (A).

According to the triangle's "angle sum property," a triangle's interior angles add up to 180°.

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.

Given:

In  ABC, m<A= 65 and m<B= 80

Now, using Angle sum Property

m<A + m <B + m <C = 180

65+ 80 + m<C= 180

m <C = 180 - 145

m <C = 35

So, the similar Triangle will be  DEF in which m <E = 80 and m <F = 35.

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The blank words are 5 cm, 5 cm, 5 cm, 5 cm, adjacent, equal, 3/4, -4/3, 3/4, -4/3, adjacent, perpendicular, equal.

A quadrilateral in geometry is a four-sided polygon with four edges and four corners.

I will prove that quadrilateral KLMN is a square by demonstrating that

all sides are of equal measure,

and adjacent sides are perpendicular.

To prove all sides are equal:

KL = 5 cm

LM = 5 cm

MN = 5 cm

NK = 5 cm

The four sides are of 5 measure.

To prove adjacent sides are perpendicular:

slope of KL = 3/4

slope of LM = -4/3

slope of MN = 3/4

slope of NK = -4/3

The slopes of any pair of adjacent sides are perpendicular.

That being the case, those sides are equal.

Therefore,  5 cm, 5 cm, 5 cm, 5 cm, adjacent, equal, 3/4, -4/3, 3/4, -4/3, adjacent, perpendicular, equal are the blank words.

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x = - 8 is the solution for 7x + 5 = - 19. This can be solved using the concept of equation solving.

The meaning of such an equations in algebra is just a mathematical expression stating the equality between two mathematical terms. For instance, 6x + 5 = 11 is an equation where 6x + 5 and 11 are two expressions separated by the 'equal' sign.

Identity equations and conditional equations are the two types of equations. For just any value of both the variables, an equality remains true. Only such variables have values that make a condition expression true. Two expressions joined by an equals sign ("=") form an equation.

7x + 5 = -19

or, 7x = - 19 - 5

or, 7x = - 24

or, x = - 8

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On solving the provided question, we can say that the values of the equation here will be y +1 = 8X 8y = 16 => y = 9.455

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

y+1= -4(x - 2) 2x8y = 16​

x = 0

y +1 = 8X 8y = 16

y = 9.455

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The variable in 2x + 3 = 7 is x because rest 2, 3 and 7 are constant terms only x is the variable.

The meaning of such an equations in algebra is just a mathematical expression stating the equality between two mathematical terms. For instance, 6x + 5 = 11 is an equation where 6x + 5 and 11 are two expressions separated by the 'equal' sign.

Identity equations and conditional equations are the two types of equations. For just any value of both the variables, an equality remains true. Only such variables have values that make a condition expression true. Two expressions joined by an equals sign ("=") form an equation.

The variable in 2x + 3 = 7 is x because rest 2, 3 and 7 are constant terms.

if we solve the above equation, we get

2x + 3 = 7

or, 2x = 7 - 3

or, 2x = 4

or, x = 2

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For given inequality, graph number 3 is correct.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality results from a lack of balance.

Make use of the following steps to solve an inequality: Step 1: Remove fractions by multiplying all terms by the fractions' lowest common denominator. Step 2 Combine like terms on both sides of the inequality to simplify. Step 3 Obtain the unknown on one side and the numbers on the other by adding or subtracting quantities.

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Rafael claims it's easiest to score points when a scatterplot has a linear association. Sahana says it's easiest when a scatterplot has a strong association. Both Rafael and Sahana are correct, in their own way.

A scatterplot with a linear association means that there is a straight line relationship between the two variables being plotted. In such a scatterplot, it is relatively easy to make predictions based on the line of best fit, as well as to calculate the correlation coefficient(r), which can indicate the strength and direction of the linear relationship.

On the other hand, a scatterplot with a strong association means that the points in the plot are closely grouped together, indicating a high degree of correlation between the variables. It is relatively easy to make predictions based on the overall pattern of the points in the scatterplot, even if there is no clear linear relationship.

So, Rafael is correct that scoring points is easiest when a scatterplot has a linear association because it is relatively easy to make predictions based on the line of best fit and correlation coefficient. And Sahana is correct that scoring points is easiest when a scatterplot has a strong association because it is relatively easy to make predictions based on the overall pattern of the points in the scatterplot.

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Answer:128 cm^2

Step-by-step explanation:

The process of solving the 3 variable with 2 equation is explained below.

The term equation is defined as a relationship between two terms on either side of an equal sign.

Here we have the following steps to solve the 3 variable for two equation is solved accordingly.

First of all we have to take any two equations and solve it for one variable.

And then again we have to take another two pair of equations and solve for the same variable.

Now, we have a system of two equations with two unknown variables.

Then we have to solve the equation by using the appropriate arithmetic operations.

and then substitute it accordingly until all the value of the variable are solved.

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An expression that describes the team’s total points will be 2w + t.

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator

In this case, the soccer team earns 2 points for a win and 1 point for a tie.

Let w represent the number of wins and t represent the number of ties.

The expression that describes the team’s total points will be:

= 2(w) + t

= 2w + t

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The line x= -4 is a vertical line passing through x-axis.

It is a distance of 4 units from the x-axis and is parallel to the y-axis.

Vertical Line in a coordinate plane refers to a line that is perpendicular to the Y-axis. From top to bottom and from bottom to top, it is a straight line. The x-coordinate of every point along this line will be the same. The points of vertical lines include, for instance, (2,0), (3,0), (-4,0), etc. Similar to this, a horizontal line is a line that runs parallel to the x-axis from left to right.

There is no slope to the vertical lines. It follows the y-axis parallel, hence the slope is not known. As a result, the equation for the vertical line that at any point, let's say 'a', crosses the x-axis is:

x = a

where x is a point on the line's coordinate.

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