studies show that gasoline use for compact cars sold int he untied states is normally distirbuted with a mean use of 25.5 miles per gallon and a standard deviation of 4.5 miles per gallon. what eprcentage of compact obtains 30 or more miles per gallon

The values for the highlighted variables is a=-1,b=-9,c=9,d=3,e=3,f=2 and g=3/2.

Given:

3x/2x-6 + 9/6-2x

Rewrite 6-2x as 2x-6 by taking (-1) as common factor:

= 3x/2x-6 + 9/(-1)(2x-6)

so a = -1

= 3x/2x+6 + -9/2x-6

so b = -9

The LCM of 2x - 6 and 2x - 6 is 2x -6.

= 1*3x + 1*-9 / 2x-6

= 3x - 9 / 2x -6

so c = 9

(3x - 9) = 3(x-3)

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

= 3(x-3)/2(x-3)

so d =3,e=3 and f=2 , g = 3/2.

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Full question:

Enter the values for the highlighted variables to complete the steps to find the sum:

3x/2x-6 + 9/6-2x = 3x/2x-6 + 9/a(2x-6) = 3x(2x-6)+6(2x-6)=3x-c 2x-6 =d(x-x) f(x-3) = g

A- -1

B= -9

C= 9

D= 3

E= 3

F= 2

G= 1.5

Answer:

Step-by-step explanation:

again , you know that the two angles add up to 180°

you know that by the complementary angle rule.

set the two equations equal to 180 and solve for x

180= eq1 + eq2

The pattern will be attached in the figure attached, in the matrix form.

What is the matrix?

The arrangements of numbers, variables, symbols, or phrases in a rectangular table with varying numbers of rows and columns are known as matrices, which is the plural version of the word matrix. They are rectangular arrays with defined operations for addition, multiplication, and transposition. The constituents of the matrix are its numbers or entries. Vertical entries in matrices are referred to as columns, whereas horizontal entries are known as rows. A matrix is a rectangular array of numbers, variables, symbols, or expressions that are defined for operations like subtraction, addition, and multiplication. The number of rows and columns in a matrix determines its size, sometimes referred to as its order.

We can arrange it as A = (0 0 0 0 1 1 0 0 1)

We know A*TA = 0

If A has an entry 9 then, the sum of all the diagonal elements.

So the T will be the form of the matrix attached below.

Hence the Pattern will be attached in the figure attached.

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The function f(x) = (3/4)ˣ has its graph to be graph (a) and the table to be:

x  -2       -1      0     1      2

y  16/9   4/3   1     3/4   9/16

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

f(x) = (3/4)ˣ

This function is an exponential function

The x values present on the tables of values are

x = -2, -1, 0, 1 and 2

These values are to be used to calculate the f(x) values of the function

To do this, we simply substitute x = -2, -1, 0, 1 and 2 f(x) = (3/4)ˣ

The above highlights give:

f(-2) = (3/4)⁻² = 16/9

f(-1) = (3/4)⁻¹ = 4/3

f(0) = (3/4)⁰ = 1

f(1) = (3/4)¹ = 3/4

f(2) = (3/4)² = 9/16

This means that the table of values is

x:  -2       -1      0     1      2

y:  16/9   4/3   1     3/4   9/16

Next, we plot the graph of the function using the values in the above table

The graph that passes through the points in the above table (i.e. (-2, 16/9), (-1, 4/3).....)  is graph (a)

Hence, the graph of the function is graph (a)

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Answer:

A.2

Step-by-step explanation:

The correct answer is 0.75x + 0.15y = 90 is the equation that describes the quantity of pens and pencils the glee club can purchase.

The maximum number of pens the club can purchase is 120.

The maximum number of pencils the club can purchase is 600.

Each pen costs $0.75.

Total number of pens = x

Each pencil costs $0.15

y = number of pencils

(Cost of each pen) x (Number of pens) + (Cost of each pencil) x (Number of pencils) = $90 which equals the total cost for pens and pencils.

The formula for the quantity of club pens and pencils is 0.75x + 0.15y = 90.

When 0.75x = 90

x = 90/0.75

x = 120, the club purchases the most pens.

The maximum number of pens the club can purchase is 120.

When the club purchases the most pens, 0.15x = 90

x = 90/0.15

x = 600

Hence, the maximum number of pencils the club can purchase is 600 and the formula for the quantity of club pens and pencils is 0.75x + 0.15y = 90.

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Expectancy theory would best provide perspective on the question 'if i study for 12 hours, what is the probability that i'll get an on the exam?".

 Expectancy theory (expectancy theory of motivation) was put forward by Victor Vroom in 1964. Vroom put more emphasis on outcome factors, rather than needs as proposed by Maslow and Herzberg.

This theory states that the intensity of the tendency to perform in a certain way depends on the intensity of the expectation that performance will be followed by a definite outcome and on the attractiveness of the result to the individual.

Vroom argues that people will be motivated to do certain things to achieve goals if they believe that their actions will lead to the achievement of these goals.

There are three main assumptions of Vroom in expectancy theory.  These assumptions are as follows:

-Every individual believes that if he behaves in a certain way, he will get certain things.  This is called an outcome expectancy as a person's subjective assessment of the likelihood that a certain outcome will arise from that person's actions.

-Each outcome has value, or appeal to a particular person.  This is called valence (valence) as the value that people give to an expected result.

-Each outcome is associated with a perception of how difficult it is to achieve that outcome.  This is called effort expectancy as the possibility that one's efforts will result in the attainment of a certain goal.

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Any number that represents something other than zero is considered to be positive.

In the given question we have to explain a positive number in math.

Any number that represents something other than zero is considered to be positive. When referring to the amount of money in your bank account, a positive figure would undoubtedly make you feel good as well.

The natural, or counting, numbers 1, 2, 3, 4 and 5 are examples of positive numbers, as are fractions like 8/5 or 32/45 and decimals like 49.4.

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72 miles, distance travelled by Nakeisha's family when Nakeisha fell asleep.

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

Total distance of the trip = 400 miles,

The percentage of distance when Nakeisha fell asleep = 18%.

The distance when Nakeisha fell asleep,

= 400×18/100

= 72 miles

The distance travelled by Nakeisha's family when Nakeisha fell asleep is 72 miles.

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The four step to graphing the linear inequalities are: Always begin by separating the variable y from the inequality's left side, Replace the inequality symbol with the equality symbol, In XY plane, graph the boundary line from step 2, The final step is to shade a portion or one side of the border line.

In the given question we have to explain the 4 steps in graphing linear inequalities.

Step 1: Always begin by separating the variable y from the inequality's left side.

Step 2: Replace the inequality symbol with the equality symbol.

Step 3: In XY plane, graph the boundary line from step 2.

Step 4: The final step is to shade a portion or one side of the border line.

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The scale factor of the dilation of triangle DEF is 3/10

Given,

Triangle DEF's scale factor of dilation is equal to the ratio of its corresponding sides to those of triangle D'E'F':

f = D'F'/DF = D'E'/DE = E'F'/EF scale factor (1)

The comparable triangles OD'F' and ODF can be used to calculate the ratio D'F'/DF because their sides must be proportional:

D'F'/DF = OF'/OF = OD'/OD (2) (2)

According to the figure, we understand:

If F'F = 7 and OF' = 3, then

OF = OF' + F'F → OF = 3 + 7 → OF = 10

Then substituting in (2):

(2) DF/DF = 3/10 = OD/OD

Also substituting in (1):

(1) f = 3/10 = E'F'/EF = D'E'/DE

That is,

The scale factor of the dilation of triangle DEF is 3/10

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The question is incomplete. Completed question is given below;

What is the scale factor of the dilation of triangle DEF?

Figure is attached;

The area of the Rectangle is 70 units², So option (C) is the correct answer.

Let,

     Length of Rectangle = 10 units

     Width of Rectangle = 7 units

Area of rectangle =  length × Width

Putting the Length and Width of the rectangle in the last equation.

So,

Area of rectangle = 10 × 7 units²

Area of rectangle = 70 units²

Hence, The area of the rectangle is 70 units².

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Answer:

[tex]z\leq 16.1[/tex]

Step-by-step explanation:

-4z>=-64.4

/-4.    /-4

z>=16.1

And when we switch the signs we switch which was the alligator points

z<=16.1

Hopes this helps please mark brainliest

Answer:

z ≤ 16.1

Step-by-step explanation:

Given inequation,

→ -4z ≥ -64.4

Now the value of z will be,

→ -4z ≥ -64.4

→ z ≤ -64.4/-4

→ z ≤ 64.4/4

→ [ z ≤ 16.1 ]

Hence, the value of z is 16.1.

To calculate the interest and the total amount , we use Simple interest formula S.I = ( P× r × t ) / 100.

Simple interest is a method of calculating the interest that is charged on fixed deposits , savings accounts and the loans .

The money you put in the bank is called the principal, the bank pays you interest.

The interest is computed as a certain percent of the principal; called the rate of interest. The rate of interest is usually expressed as a percent per year, and is calculated by using the decimal equivalent of the percent.

The variable for time, t, represents the number of years the money is left in the account.

The formula to calculate simple interest is :

S.I = ( P× r × t ) / 100

where P is principle , r = rate of interest and t is term of loan in year.

To use the simple interest formula we substitute in the values for variables that are given, and then solve for the unknown variable.

To find the total amount ,

Amount = Principle + Interest

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The mean and standard deviation of a sampling distribution of sample means with sample size n=36 are 72,3

The act of deciding on the number of observations or replicates to include in a statistical sample is known as sample size determination. The sample size is an important aspect of any empirical study that seeks to draw conclusions about a population from a sample. In practice, the sample size employed in a study is frequently dictated by the cost, time, or convenience of gathering the data, as well as the necessity for statistical power. In complex research, sample sizes may vary: for example, in a stratified survey, sample sizes may fluctuate for each strata. Because data for an entire population is sought in a census, the targeted sample size is the population. During the experimental design process.

Given,

Mean μ=72

Standard deviation σ=18

Sample size n=36

The mean of the sample distribution is defined as:

E([tex]\bar{x}[/tex])=μ

E([tex]\bar{x}[/tex])=72

Standard deviation of a sample mean is,

SE([tex]\bar{x}[/tex])=σ/√n

SE([tex]\bar{x}[/tex])=18/√36

SE([tex]\bar{x}[/tex])=3

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Examples of complex fraction are [tex]\frac{\frac{1}{4}}{\frac{3}{8}}[/tex], [tex]\frac{\frac{1}{3}}{9}[/tex], [tex]\frac{4}{\frac{2}{5}}[/tex] etc.

The first and most common way to represent a fraction is with [tex]\frac{a}{b}[/tex]

Where 'a' is the numerator and 'b' is the denominator.. A horizontal bar separates the numerator and denominator.

A complex fraction is one that contains fractions in the numerator, denominator, or both.

some examples of complex fractions are:

[tex]\frac{\frac{1}{4}}{\frac{3}{8}}[/tex] , [tex]\frac{\frac{1}{3}}{9}[/tex] , [tex]\frac{4}{\frac{2}{5}}[/tex] etc.

Thus, an example of complex fraction is [tex]\frac{4}{\frac{2}{5}}[/tex].

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Answer:

The equation for this is:

n(g) + 49 - 3

Step-by-step explanation:

The term "Product" means "multiplication." And "number" can be reduced to the term "n," like "g" is. The word "and" means "addition." And, "3 less" means - 3:

n(g) + 49 - 3

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

49g -3

Step-by-step explanation:

3 less than the product of a number g and 49

Writing an algebraic expression

less than means it comes after

the product of a number g and 49

49g

3 less than

49g -3

The solution for the agebraic equation 20 = 5(7 -x) is x = 3, which is correct option from the solution set.

Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical equation or expression

Solving for the solution in the given algebraic equation;

20 = 5(7 -x)

20 = 35 - 5x (expand bracket)

also

5x + 20 = 35 - 5x + 5x {add 5x to both sides}

5x + 20 - 20= 35 - 20 + 20 {subtract 20 from both sides}

5x = 15

x= 15/5 {divide through by 5}

x = 3

Therefore, algebraic equation 20 = 5(7 - x) is true for the value of x = 3.

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Since the number of roots of a polynomial function is equal to the highest degree of the polynomial function, the total number of roots of the given polynomial functions are 6 and 2 respectively.

We have two polynomial functions given by -

[tex]F(x) = 3x^{6}+2x^{5}+x^{4}-2x^{3}[/tex] ----- (1)

[tex]G(x)=5x-12x^{2} +3[/tex] ---- (2)

We have to find out the total number of roots of each polynomial function.

We know that, the number of roots of a polynomial function is equal to the highest degree of the polynomial function.

In equation (1), we have

[tex]F(x) = 3x^{6}+2x^{5}+x^{4}-2x^{3}[/tex]

Here, we can see that the highest degree of the polynomial function F(x) is 6 which is the highest degree of x in the polynomial.

So, the total number of roots of the polynomial function F(x) is 6.

Similarly, in equation (2), we have

[tex]G(x)=5x-12x^{2} +3[/tex]

Here, we can see that the highest degree of the polynomial function G(x) is 2 which is the highest degree of x in the polynomial.

So, the total number of roots of the polynomial function G(x) is 2.

Therefore, the total number of roots of the given polynomial functions are 6 and 2 respectively.

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Answer:

question 1 isn't formatted properly, for question 2, k=-2

Step-by-step explanation:

5k-8+2=-16

5k-6=-16

5k=-10

k=-2

The quotient of division 2/( √13+√11) is (√13-√11).

A quotient is a quantity that is obtained by dividing two integers. The answer is D.

What is a quotient?

A quotient is a quantity that is obtained by dividing two integers. The quotient is a term that is widely used in mathematics to refer to the integer component of a division, as well as a fraction or a ratio.

In order to find the quotient of the fraction, we need to take the rationalize of the fraction.

= 2/(√13 + √11)

= 2/(√13 + √11) x (√13 - √11)/(√13 - √11)

= 2(√13 + √11)/(√13)^2 - (√11)^2

= 2(√13 - √11)/13-11

= 2(√13-√11)/2

= (√13-√11)

Hence the answer is, the quotient of division 2/( √13+√11) is (√13-√11).

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The number of applications Jen can expect from the self-tanner is 22.5.

What is applications?
Mathematical Applications focuses on developing students' mathematical expertise in both established and novel contexts. Financial modelling, matrix, network analysis, route as well as project planning, decision-making, as well as discrete growth and decay are a few of these contexts.

What is an advertising claim?

An advertising claim is a statement made in advertising about the advantages, features, and performance of a good or service with the intention of convincing the consumer to buy it.

First, to determine how many applications 1 -oz of the bottle can provide.

Number of applications 1 -oz of the bottle can provide = 3/2 = 1.5

Second, to determine the number of applications 15 oz of the bottle can provide = 15 x 1.5 = 22.5 applications

Hence, the total number of applications expected is 22.5

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The slope of the line is m = - 3

What is the line's slope, please?

the equation of a line of slope-intercept form is given by

  y = mx + c

an equation of the form y = -3x + 2

now compare with equation

 m = -3

  c = 2

Thus, the slope of the line is m = - 3

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The complete question is -

What is the slope of the line y = -3x+2

The  Bayes's theorem help us to take an better prediction of even with the help of another occuring event.

Bayes' theorem, in probability hypothesis, a method for reexamining expectations considering important proof, otherwise called restrictive likelihood or opposite likelihood. The hypothesis was found among the papers of the English Presbyterian clergyman and mathematician Thomas Bayes and distributed after death in 1763.

Bayes' theorem expresses that the contingent likelihood of an occasion, in view of the event of another occasion, is equivalent to the probability of the subsequent occasion given the principal occasion duplicated by the likelihood of the main occasion.

This theorem gives us an idea to take better prediction of the event.

Option(a)  to help you make a better decision is correct answer.

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The maximum speed is 3667 m/s if the engine can impart a force of 4522 N on the road.

What is Drag coefficient?

The aerodynamic drag coefficient is a measure of the effectiveness of a streamline aerodynamic body shape in reducing the air resistance to the forward motion of a vehicle.

Given that,

mass of a car(ρ) = 1834 kg

drag coefficient (c) = 0.342 kg/m

Force(F) = 4522 N

and we have to find maximum speed.

We know the formula for Drag coefficient,

c = 2F/ ρu^2

⇒ u^2 = 2F/ ρc

          = 2(4522)/1834×0.342

          = 9044 / 672.2

   u^2 = 13.454

       u = 3.667

       u = 3667 m/s

Therefore maximum speed is 3667 m/s.

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The statements K-means is extremely sensitive to cluster centroid initializations and Poor initialization can lead to slow convergence are true. Option A and option C are correct.

K-means Clustering is a vector quantization technique that seeks to split "n" observations into "k" clusters, with each observation referring to the cluster with the closest mean, which reflects a model of the cluster.

This means that the K-means algorithm recognizes the "k" number of centroids and then allocates every data point to the cluster with the fewest centroids.

Thus, the statements K-means is extremely sensitive to cluster centroid initializations and Poor initialization can lead to slow convergence are true. Option A and option C are correct.

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The exclusive right to distribute, exhibit, perform, or reproduce an original work in copies, as well as the right to create derivative works based on the original work, is known as copyright. This assertion is true.

A bundle of legal privileges known as copyrights automatically belongs to everyone who produces an original work of authorship, such as a piece of literature, film, music, or software. These privileges include the ability to copy, create derivative works from, distribute, perform, and show the work in public.

The following exclusive rights belong to copyright owners exclusively, according American copyright law: Create phonorecords or duplicates of the material. Make works based on the original work. distribute copies or phonorecords of the work to the public by selling, transferring ownership, leasing, renting, or borrowing.

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Options A,B are true and the other 3 C,D,E are false.

What is matrix?

The arrangements of numbers, variables, symbols, or phrases in a rectangular table with varying numbers of rows and columns are known as matrices, which is the plural version of the word matrix. They are rectangular arrays with defined operations for addition, multiplication, and transposition. The constituents of the matrix are its numbers or entries. Vertical entries in matrices are referred to as columns, whereas horizontal entries are known as rows. A matrix is a rectangular array of numbers, variables, symbols, or expressions that are defined for operations like subtraction, addition, and multiplication. The number of rows and columns in a matrix determines its size, sometimes referred to as its order.

A) If Ax=λx for some vector x, then x is an eigenvector of A

if x not equal to 0 then the statement is true.

B) A steady-state vector for a stochastic matrix is actually an eigenvector:

As it is an egien vector the statement is true.

C) If v1 and v2 are linearly independent eigenvectors, then they correspond to distinct eigenvalues.:

the statement is false.

D) The eigenvalues of a matrix are on its main diagonal:

It's only true for the trigonal matrix.

E) An eigenspace of A is just a null space of a certain matrix:

the statement is false.

Hence we have determined the true and false statement from the given option.

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The method of least squares of residuals is commonly used to get the best fit with linear regression. The reason why the absolute value of residual's (|y- ypred|) is not used is as follows :

Although least squares purposefully square the error in the belief that it will respond better when values deviate from your projected value, you could run something similar if you so desired.

Consider the following scenario: You plot your data's real values on a graph, and you observe a straight line of numbers with a few outliers that have greater values than you would expect. You could be tempted to believe that the best fit is a straight line along the values. Because the real pattern must take into account all the values that occurred, least squares adapt more to the outliers than other values and purposefully squares values, sort of assuming that the straight line of actual values was a coincidence.

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If 4 in has a force of 50 applied. The pressure is 12.5N/m².

Using this formula to find the pressure

Pressure = Force /Area

Where:

Force = 50

Area =4

Let plug in the formula

Pressure = 50/4

Pressure = 12.5 N/m²

Therefore the pressure is  12.5 N/m².

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