i really dont understand this please help me out ​

I Really Dont Understand This Please Help Me Out

Answers

Answer 1
I believe the answer to be D. There is no data to suggest that science scores correlate to pet ownership.
Answer 2

Answer: D

Step-by-step explanation: It is going up in a strait trend line, making it where it has no relation ship unless very closely  examined.


Related Questions

A total of 646 tickets were sold for the school play. They were either adult tickets or student tickets. There were 54 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Answer:

64 im pretty cxsure

Step-by-step explanation:

lisa and daisy work at a hair salon. the salon charges $18 fir a hair styling session with lisa and $12 for a session with daisy. the income on a certain day is projected to be $216. this situation can be represented by the equation 18x+12y=216, where x is the number of lisa's customers and y is the number of daisy's customers would lisa need to serve to attain the projected income if daisy calls in sick that day? ​

Answers

Lisa would need to serve 12 customers to attain the projected income if Daisy calls in sick that day


What is linear function ?

A linear function is a mathematical function that can be represented by a straight line on a graph. It has the form of:

y = mx + b

where m is the slope of the line, which determines how steeply the line rises or falls, and b is the y-intercept, which is the point where the line crosses the y-axis.

According to the question:
If Daisy calls in sick, then Lisa will be the only stylist at the salon, and all customers will go to her. Let's use x to represent the number of Lisa's customers. Then the income generated by Lisa's customers can be represented by the equation:

18x = projected income

We can solve for x by dividing both sides of the equation by 18:

x = projected income / 18

Substituting the given projected income of $216, we get:

x = 216 / 18 = 12

Therefore, Lisa would need to serve 12 customers to attain the projected income if Daisy calls in sick that day.

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The directions and example is in the photo, I really need help with this stuff ​

Answers

The height of the BD for the house using Pythagorean theorem is obtained as: 4.23 m.

Explain about the Pythagorean theorem?

According to the Pythagorean Theorem, for any triangle which is a right triangle, the squares of the legs added together equal the square of the hypotenuse.

In the given triangle ABC.

AB = BC = 6 cm

So, ∠A = ∠C  (by isosceles triangle)

Then, AD = DC = 8.5/2

So, in right angles triangle ABD, applying Pythagorean theorem:

AB² = AD² + BD²

6² = (8.5/2)² + BD²

36 - 18.0625 = BD²

BD = √17.9375

BD =  4.23

Thus, the height of the BD for the house using Pythagorean theorem is obtained as: 4.23 m.

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Use the traditional method to test the given hypothesis. Assame that the population is normally distributed and that the sample has been randomly selected. Select the appropriate response.In one town, monthly incomes for men with college degrees are found to have a standard deviation of $650. Use a 0.01 significance level to test the claim that for men without college degrees in that town, incomes have a higher standard deviation. A random sample of 22 men without college degrees resulted in incomes with a standard deviation of $926. Select the correct test statistic and critical value.


Test statistic: x^2 = 25.691. Critical values: x^2= 38.932.

Test statistic: x^2= 42.620. Critical values: x^2= 43.978

Test statistic: x^2 = 21.087. Critical values: x^2= 29.806.

Test statistic: x^2= 42.620. Critical values: x^2=38.932.

Answers

The test statistic: X² = 42.620, Critical values: X²=38.932.

What are critical values?

A critical value is one that can be used to compare the test statistic to determine if the null hypothesis can be rejected or not.

Here, we have

Given: In one town, monthly incomes for men with college degrees are found to have a standard deviation of $650. A random sample of 22 men without college degrees resulted in incomes with a standard deviation of $926.

s = 926, n = 22

The null and alternative hypotheses:

H₀ : σ = 650; H₁ : σ > 650

Test statistic:

X² = (n-1)s²/σ²

X² = (22-1)926²/650²

x = 42.62

Critical values:

X² = X²a(n-1)

X² = X²(0.01)(21)

X² = 38.932.

Hence, the test statistic: X² = 42.620, Critical values: X²=38.932.

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on a control chart, what separates common from assignable causes of variation? a. specification limits b. mean divided by standard deviation c. control limits d. production limits e. x-bar lines

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On a control chart, Control limits separates common from assignable causes of variation option C.

Shewhart charts, after Walter A. Shewhart, are another name for control charts. It is a statistical process control tool that aids in tracking process advancements over time. For instance, hospital management decides to utilise a solution technique in order to shorten the time required to admit a patient.

The process flow diagram for how patients are admitted to the hospital is first created. The average amount of time it takes to admit a patient each day is then measured. Lastly, plot the process variables across time on a control chart.

This control chart's goals are to identify any "special" reasons of variation as well as to document any process improvements.

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The image shows a circular pizza cutter that has a diameter of 8 centimeters

Answers

The pizza would be covered by approximately 100.48 centimeters of the pizza cutter if it is rotated exactly 4 times.

Calculating the cover of the pizza

The circumference of a circle can be calculated using the formula:

circumference = π x diameter

where π is approximately equal to 3.14.

Given that the diameter of the pizza cutter is 8 centimeters, we can calculate its circumference as:

circumference = π x diameter

circumference = 3.14 x 8

circumference = 25.12 centimeters

If the pizza cutter is rotated exactly 4 times, it will cover a distance equal to 4 times its circumference:

distance covered = 4 x circumference

distance covered = 4 x 25.12

distance covered = 100.48 centimeters

Therefore, approximately 100.48 centimeters of the pizza would be covered by the pizza cutter if it is rotated exactly 4 times.

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Complete question

The image shows a circular pizza cutter that has a diameter of 8 centimeters. Approximately how many centimeters would the pizza cutter cover if it is rotated exactly 4 times

each of the letters of the word colorado are written on a piece of paper and then put into a bag. a piece of paper is drawn at random. what is the theoretical probability of not drawing an o?

Answers

The theoretical probability of not drawing an "o" is 3/4.

We have,

Each of the letters of the word Colorado are written on a piece of paper and then put into a bag.

Here, The word "Colorado" has 8 letters, including 2 "o"s.

Therefore, the probability of drawing an "o" is,

P = 2/8

P = 1/4

Hence, The probability of not drawing an "o" is the complement of this probability is,

1 - 1/4 = 3/4.

Therefore, the theoretical probability of not drawing an "o" is 3/4.

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Terrance and his three friends earned $359 in August, $522 in July, and $420 in September selling lemonade. How much would they each earn if they divided their earnings equally?

Answers

In Linear equation, 260.2 would they each earn if they divided their earnings equally.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

                                         Equations with variables of power 1 are referred to be linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.

three friends earned $359 in August, $522 in July, and $420 in September

                = $359 + $522 $ 420  

                = 1301/5 = 260.2

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If you have 4 purple marbles and 8 yellow marbles in a bag. What is the probability of getting a purple marble

Answers

You have a 4/12 probability.

the time to fly between new york city and chicago is uniformly distributed with a minimum of 50 minutes and a maximum of 100 minutes. what is the probability that a flight is less than 64 minutes

Answers

The probability that a flight between New York City and Chicago is less than 64 minutes is 0.28, or 28%.

Since the time to fly between New York City and Chicago is uniformly distributed between 50 and 100 minutes, we can use the formula for the uniform probability density function (PDF) to find the probability that a flight is less than 64 minutes:

f(x) = 1 / (b - a), for a ≤ x ≤ b

where a = 50 and b = 100 are the minimum and maximum times, respectively.

To find the probability that a flight is less than 64 minutes, we need to integrate the PDF from a to 64:

P(X < 64) = [tex]\int\limits^{64}_{50}[/tex] f(x) dx = [tex]\int\limits^{64}_{50}\\[/tex](1 / 50) dx = (1 / 50) * [x]|₅₀ ⁶⁴

= (1 / 50) * (64 - 50) = 0.28

This means that approximately 28% of flights will arrive in less than 64 minutes.

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Please help I’ve been stuck on this for daysss

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Therefore , the solution of the given problem of graphs comes out to be a = [P² * G * Ms / [tex](4\pi ^2* Mp)]^(1/3)[/tex]

Explain graph.

Graphs are used by theoretical coordinate points physicists to analytically and graphically present assertions rather than values. Typically, a graph point shows the relationship between several distinct objects. A graph is a particular kind of pas de container construction composed of groups and lines. The borders, also known as the channels, should be joined with glue.

Here,

According to Kepler's third law, one can determine the connection between a planet's orbital period and its separation from a star by:

=> P² = (4π² / GM) * a³

where P denotes the orbit's duration in years, a denotes the semi-major axis in astronomical units (AU), G denotes gravity's constant, and M denotes the star's mass in solar masses.

If we rewrite this equation, we obtain:

=> a = [P² * G * Ms / [tex](4\pi ^2* Mp)]^(1/3)[/tex]

We can rewrite this equation as follows since our goal is to estimate the distance from the sun in AU based on the mass of the planet in relation to the sun:

=> a = [P² * G * Ms / [tex](4\pi ^2* Mp)]^(1/3)[/tex]

where Mp is the mass of the planet in relation to the sun and Ms is the mass of the sun.

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Terrell is a dog trainer. He charges $75 for each training session plus $1.45 per mile that he must drive to and from the session. Write an expression to represent this situation. Explain your answer.
(in the expression let x represent the number of miles.)​

Answers

The expression 75 + 1.45x represents the total cost of a training session with Terrell

The expression to represent this situation

Let x be the distance (in miles) that Terrell must drive to and from the training session.

Then the total cost C of the training session, in dollars, can be expressed as:

C = 75 + 1.45x

The first term, 75, represents the base fee that Terrell charges for each training session. The second term, 1.45x, represents the additional cost that Terrell incurs due to the distance he has to drive. This second term is calculated by multiplying the distance x by the rate of $1.45 per mile.

Therefore, the expression 75 + 1.45x represents the total cost of a training session with Terrell, including both the base fee and the additional cost for driving.

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if the area of a circle is less than $60\pi$ square inches, what is the greatest possible integer value in inches of the radius of the circle?

Answers

The greatest possible integer value of the radius of the circle is 7 inches.

The area of a circle is given by the equation[tex]$A = \pi r^2$[/tex]. We know that the area is less than [tex]$60\pi$[/tex] square inches, so the equation can be written as [tex]$60\pi > \pi r^2$[/tex]. We can solve for the radius by dividing both sides by [tex]$\pi$[/tex], which gives us [tex]$60 > r^2$[/tex]. Taking the square root of both sides gives us [tex]$r < \sqrt{60}$[/tex], which is approximately 7.74 inches. Therefore, the greatest possible integer value of the radius of the circle is 7 inches.

To explain this further, we can start with the equation for the area of a circle, which is[tex]$A = \pi r^2$[/tex]. Since the area is less than [tex]$60\pi$[/tex]square inches, this equation can be rewritten as[tex]$60\pi > \pi r^2$[/tex]. We can then divide both sides by [tex]$\pi$[/tex] to get [tex]$60 > r^2$[/tex]. Taking the square root of both sides gives us [tex]$r < \sqrt{60}$[/tex]. This result can then be rounded down to the nearest integer, which is 7. Therefore, the greatest possible integer value of the radius of the circle is 7 inches.

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the sampling distribution becomes approximately normal, for all statistics, if there is a large enough sample size. a. false b. true

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The given statement "the sampling distribution becomes approximately normal, for all statistics, if there is a large enough sample size" is True as it is proved by the central limit theorem.

The central limit theorem (CLT) states that for large enough sample sizes, the distribution of the sample means approximates a normal distribution regardless of the shape of the initial population distribution.

It is a statistical theory that clarifies how the mean of a random sample of independent observations drawn from a non-normal population converges in distribution to a normal population.

According to this theory, the sample size should be at least 30 for the sample mean to have an approximately normal distribution. The following are the fundamental assumptions of the central limit theorem:

A large enough sample size is requiredPopulation must be random and independentThe variance of the population must be finiteThe sampling must be done with replacement.

Therefore, we can say that the sampling distribution becomes approximately normal, for all statistics, if there is a large enough sample size. The statement is true.

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A rectangle has an area of 15 square yards. The width is 2 yards less than the length. What is the length, in yards, of the rectangle?
A: 2 yards
B: 3 yards
C: 5 yards
D: 15 yards​

Answers

Answer:

The correct answer would be option (A).

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

length = x

Width=x-2
Area=lw

15=(x)(x-2)

15=x^2-2x

0=x^2-2x-15

Quadratic formula:

X=-15

X=5


the length is 5 because the length can’t be negative

Help open up a jewelry store, Tom borrowed money from an online lending company He took out a personal, amortized loan for 44,000, at an interest rate of 6. 25\% with monthly payments for a term of 7 years For each part, do not round any intermediate computations and round your final answers to the nearest cent necessary, refer to the list of financial formulas (a) Find Tom's monthly payment (b) Tom pays the monthly payment each month for the full term , his total amount to repay the () Tom pays the monthly payment each month for the full termfind the total amount of interest he will pay

Answers

Tom will pay a total of $13,424.20 in interest over the term of the loan.

The formula to calculate the monthly payment for an amortized loan is given by:  `P = r(PV) / [1 - (1 + r)^(-n)]`Where P is the monthly payment, r is the interest rate per month, PV is the present value of the loan, and n is the number of payments or the total number of months.

Substituting the given values, we get:P = 0.0052083333 × 44,000 / [1 - (1 + 0.0052083333)^(-7×12)]P = 632.32Therefore, Tom's monthly payment is $632.32 (rounded to the nearest cent).b. Since Tom pays the monthly payment each month for the full term, his total amount to repay the loan is equal to the present value of the loan.

Therefore, the total amount to repay the loan is $44,000 (rounded to the nearest cent).c. The total amount of interest paid over the term of the loan can be calculated as the difference between the total amount repaid and the principal amount of the loan.

Therefore, the total interest paid is: Total interest paid = Total amount repaid - Principal amount of the loan Total interest paid = $57,424.20 - $44,000Total interest paid = $13,424.20

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What are the steps to express 0.15 as a fraction in simplest form ? Order the following from 1-5

Answers

Answer:

0.15 expressed as a fraction in its simplest form is 3/20.

Step-by-step explanation:

To express a terminating decimal as a fraction:

Step 1

Write the decimal as a fraction by dividing it by 1:

[tex]\boxed{\dfrac{0.15}{1}}[/tex]

Step 2

Multiply the numerator and denominator by 10 for every number after the decimal point.

As there are two numbers after the decimal point, multiply the numerator and denominator by 100:

[tex]\boxed{\dfrac{0.15 \times 100}{1 \times 100}=\dfrac{15}{100}}[/tex]

Step 3

Find the highest common factor (HCF) of the numerator and denominator.

Factors of 15:  1, 3, 5 and 15.Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50 and 100.

Therefore, the HCF of 15 and 100 is 5.

Divide the numerator and denominator by the HCF to reduce the fraction to its simplest form:

[tex]\boxed{\dfrac{15 \div 5}{100 \div 5}=\dfrac{3}{20}}[/tex]

Conclusion

0.15 expressed as a fraction in its simplest form is 3/20.

Answer:

See below, please.

Step-by-step explanation:

Write 0.15 as the fraction 15/100.Simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF). In this case, the GCF of 15 and 100 is 5.Divide both 15 and 100 by 5. This gives 3/20.The resulting fraction 3/20 is in its simplest form, as 3 and 20 have no common factors other than 1.The final answer is 3/20.So the order would be:Write 0.15 as the fraction 15/100.Simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF). In this case, the GCF of 15 and 100 is 5.Divide both 15 and 100 by 5. This gives 3/20.The resulting fraction 3/20 is in its simplest form, as 3 and 20 have no common factors other than 1.The final answer is 3/20.

in bridge, south has 13 points and 3 clubs and bids 1 club. north responds with 3 clubs, what does that mean?

Answers

In the bridge, when the south has 13 points and 3 clubs and bids 1 club, the north responding with 3 clubs means that the North has a strong hand with six or more clubs.

In the game of bridge, bidding is a method of indicating the strength of a player's hand, which is the number of tricks that they believe they can win if they become the declarer. Every player has to declare their abilities based on the bid of the previous player when it is their turn to bid.

The bidding starts with the dealer and proceeds in a clockwise direction. The players can either make a bid or pass. The following are the four basic bids in Bridge:

When South has 13 points and 3 clubs, he makes a 1 Club bid. This bid can be interpreted as follows:

South has a strong hand with five or more clubs and 13 to 21 high card points. When South bids 1 Club, he implies that he has a balanced hand, which means that he has four cards in each suit, or an unbalanced hand, which means that he has a long suit, a singleton, or a void in some other suit.

When North responds with 3 Clubs, it means that he has a strong hand with six or more clubs. North has understood that South has five or more clubs and therefore responds with the number of clubs that he has in his hand to show that he is strong enough to support South's suit. Thus, North is trying to force South to become the declarer in clubs.

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which of the following is a longitudinal study? researchers test the intelligence of all the students in a high school. intelligence tests are given to the residents of a nursing home. researchers randomly select 50 students from a high school with 2000 students. the 50 students are given intelligence tests. a group of college juniors is given an extensive battery of tests over a period of 2 days. a group of kindergartners is given an intelligence test. they are retested every other year for 30 years.

Answers

Only the final option, which is typical of a longitudinal study, calls for retesting the same set of individuals over a lengthy period of time.

what is probability ?

It is a numerical value that runs from 0 to 1, with 0 denoting the impossibility of an event and 1 denoting its certainty. The probability of an event A is expressed mathematically as P(A), where P(A) is the number of possible ways that event A could happen divided by the total number of outcomes.

given

The final choice is the long-term study: "An intelligence test is given to a class of kindergarteners. During 30 years, they are retested every other year."

In a longitudinal study, a group of individuals are followed over a lengthy period of time, frequently years or even decades. A longitudinal study's goal is to look at how people change or grow over time and to pinpoint any potential contributing elements.

Only the final option, which is typical of a longitudinal study, calls for retesting the same set of individuals over a lengthy period of time.

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7. Write the unknown value that makes this
statement true:
25% of is 10

Answers

The answer is 40, since 25 is a quarter, 10 is one fourth of 40

Answer: 40

Step-by-step explanation:

25/100 x ? = 10

multiply both sides by 100/25

x= 10 x 100/25

x=10

consider the following table. what is the probability of red? red blue total yes 15 21 36 no 38 13 51 total 53 34 87 g

Answers

The probability of red is 0.1724, given the following table.

The table provided is given in the form of a contingency table. It is used to display the relationship between two categorical variables or nominal data through frequency distribution. It is also referred to as a two-way frequency table.

The table has "Yes" and "No" categories in the rows and "Red" and "Blue" categories in the columns.

The probability of Red can be calculated using the formula;

P(Red) = (Frequency of Red) / (Total Frequency)

Using the values provided in the table

,P(Red) = 15/87P(Red) = 0.1724

Hence, the probability of red is 0.1724.

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Solve for X.
x² + 4x + 4 = 8

Answers

Step-by-step explanation:

We can also solve the equation x² + 4x + 4 = 8 by rearranging the terms and using the quadratic formula:

x² + 4x + 4 - 8 = 0

x² + 4x - 4 = 0

Applying the quadratic formula, we have:

x = (-b ± √(b² - 4ac)) / 2a

where a = 1, b = 4, and c = -4. Substituting these values, we get:

x = (-4 ± √(4² - 4(1)(-4))) / 2(1)

x = (-4 ± √32) / 2

Simplifying the square root of 32, we get:

x = (-4 ± 4√2) / 2

x = -2 ± 2√2

Therefore, the solutions to the equation x² + 4x + 4 = 8 are x = -2 + 2√2 and x = -2 - 2√2.

4. CENTERS Neil wants to find the center of a large
circle. He draws what he thinks is a diameter of the
circle and then marks its midpoint and declares that
he has found the center. His teacher asks Neil how
he knows that the line he drew is the diameter of the
circle and not a smaller chord. Neil realizes that he
does not know for sure. What can Neil do to
determine if it is an actual diameter.

Answers

To check if the line drawn is diameter it should be intersected at centre and it must be equidistant from the centre of the circle.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.

To determine if the line Neil drew is an actual diameter of the circle and not just a smaller chord, he can use the following method -

Extend the line on both sides to create two lines that intersect at a point outside the circle.

Use a compass to draw a circle with the same center as the original circle, and with a radius that is greater than half the length of the line Neil drew.

Check if the two lines intersect the circle at two points that are equidistant from the center of the circle.

If they do, then the line Neil drew is an actual diameter of the circle.

If they do not, then the line Neil drew is just a chord.

This method works because a diameter of a circle is the longest chord that passes through the center of the circle.

By extending the line Neil drew and creating two lines that intersect outside the circle, we can compare the distance from the center of the circle to each of the two intersection points with the radius of the circle we drew.

If the distances are equal, then the line Neil drew must be a diameter of the circle.

Therefore, the method to find the actual diameter is explained.

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PLEASE HELP THIS IS DUE TODAY

Answers

Answer:

13 - The first option

11 - (x+1)

16 - first option

Step-by-step explanation:

g in a study, the sample is chosen by separating all cars by size, and selecting 10 of each size grouping what is the sampling method?

Answers

The sampling method used in the study where the sample is chosen by separating all cars by size, and selecting 10 of each size grouping is known as stratified random sampling.

Stratified random sampling is a method of sampling that involves dividing the population into smaller sub-groups known as strata. In this method, each stratum is composed of elements that have similar characteristics.

The strata could be based on demographic characteristics such as age, sex, education, and so on. Once the strata have been created, the next step is to select a sample from each of the strata to make up the final sample. The selection is done randomly, and the number of elements selected from each stratum is proportional to the size of the stratum. This ensures that the sample is representative of the entire population in terms of the different characteristics of the population.

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Each month, a shopkeeper spends 5x + 14 dollars on rent and electricity. If she spends 3x-7 dollars on rent, how much does she spend on electricity? Use pencil and paper. For which
value(s) of x is the amount the shopkeeper spends on electricity less than $100? Explain how you found the value(s)
She spends
(Simplify your answer.)
dollars on electricity.

Answers

The values of x is [tex]x < 39.5[/tex].

Given that the shopkeeper spends on rent and electricity is [tex]= 5x+14[/tex]

Spending of shopkeeper on rent [tex]= 3x-7[/tex]

So shopkeeper spends on electricity [tex]= (5x+14) - (3x-7) = 2x+21[/tex]

Given that amount the shopkeeper spends on electricity less than 100.

So suitable inequality,

[tex]2x+21 < 100[/tex]

[tex]2x < 100-21[/tex]

[tex]2x < 79[/tex]

[tex]x < 39.5[/tex]

All the values of [tex]x < 39.5[/tex].

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If the limit as n goes to infinity of the quotient of the absolute value of the quantity a sub n plus 1 times the n plus 1 power of the quantity x minus 7 and the absolute value of the product of a sub n and the nth power of x minus 7 for the power series the summation from n equals 1 to infinity of a sub n times the nth power of the quantity x minus 7, then what is the interval over which the power series converges absolutely? You do not need to consider the endpoints.

Answers

In conclusion, the power series converges absolutely over an interval given by [tex]\left|x-7\right|>\frac{\left|a_n+1\right|}{\left|a_n\right|}\;\;\;\forall\;\;\;n\in\mathbb{N}\;\;\;\text{and}\;\;\;n>N, where N\in\mathbb{N}[/tex]is a natural number.


The interval over which the power series converges absolutely is given by [tex]\left|x-7\right|>\frac{\left|a_n+1\right|}{\left|a_n\right|}\;\;\;\forall\;\;\;n\in\mathbb{N}\;\;\;\text{and}\;\;\;n>N, where N\in\mathbb{N}[/tex] is a natural number.

In other words, for any given N, the series will converge absolutely over the interval \left|x-7\right|>\frac{\left|a_n+1\right|}{\left|a_n\right|}\;\;\;\forall\;\;\;n>N.

This means that the series will converge absolutely over a larger interval as N increases, since the terms \frac{\left|a_n+1\right|}{\left|a_n\right|} get closer to 1 for larger values of n.

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what can be said about the coefficients of the polynomial obtained by multiplying out when both and are odd integers? when both and are even integers? when one of and is even and the other is odd?

Answers

Odd coefficients of the polynomial are obtained by multiplying both odd integers.

Even coefficients of the polynomial are obtained by multiplying both even integers.

Even and odd coefficients of the polynomial are obtained by multiplying both odd integers.

Lets take two integer m and n,

If both 'm' and 'n' are odd integers, then the coefficients of the polynomial obtained by multiplying out will be odd.

If both 'm' and 'n' are even integers, then the coefficients of the polynomial obtained by multiplying out will be even.

If one of 'm' and 'n' is even and the other is odd, then the coefficients of the polynomial obtained by multiplying out will be even and odd.

There are no other cases.

The general form of the polynomial obtained by multiplying out a binomial is:

[tex](a+b)^n = nC_0a^n + nC_1a^{(n-1)}b + nC_2a^{(n-2)}b^2 + .....+ nC_n-1ab^{(n-1)} + nC_nb^n[/tex]

where [tex]nC_k[/tex] is a binomial coefficient.

In general, for a polynomial [tex](a+b)^n[/tex], the coefficient of the term of degree k is [tex]nC_k[/tex].

The binomial coefficients are defined as:  [tex]nC_k = n! / (k!\times(n-k)!)[/tex]

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the fifth term of the sequence is 5 and the sixth term is 2.5. What is the 2nd term?

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Answer:

Let's denote the first term of the sequence as a, and the common difference between consecutive terms as d.

Then, we know that the fifth term is 5, so:

a + 4d = 5

Similarly, we know that the sixth term is 2.5, so:

a + 5d = 2.5

We can solve this system of equations by subtracting the first equation from the second:

(a + 5d) - (a + 4d) = 2.5 - 5

d = -2.5

Now, we can substitute this value of d into either equation to find the value of a:

a + 4d = 5

a + 4(-2.5) = 5

a - 10 = 5

a = 15

Therefore, the first term of the sequence is 15, and the common difference is -2.5. We can use this to find the value of the second term:

a + d = 15 + (-2.5) = 12.5

Therefore, the second term of the sequence is 12.5.

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At a school of 550 children 80% walk to school

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If at a school of 550 children 80% walk to school, the 110 children come to school by other means.

If 80% of the children walk to school, then the remaining 20% of children must arrive at school by other means (such as being driven by a parent, taking public transportation, etc.).

To find out how many children come to school by other means, we can use the following formula:

Number of children who come to school by other means = Total number of children x Percentage who don't walk to school

In this case, we have:

Number of children who come to school by other means = 550 x 20% = 110

Therefore, 110 children come to school by other means.

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The given question is incomplete, the complete question is:

At a school of 550 children 80% walk to school, how many comes in other way ?

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