Chapter 3 Lesson 4 Arithmetic Sequence

Chapter 3 Lesson 4 Arithmetic Sequence

Answers

Answer 1

1, 15, 29, 43, 57 , the common difference is constant which is 14 and formula 1 + 14(n-1)

37, 34, 31, 29, 26 the common difference is constant which is -3 and formula is 37 - 3(n-1)

-4, 5, 14, 23, 32, the common difference is constant which is 9 and formula is -4 + 9(n-1).

What is Arithmatic Sequence?

The series where the common difference between any two next words stays constant is known as an arithmetic sequence. Let's review what a sequence is. A collection of numbers that follow a pattern is called a sequence. As an illustration, the numbers 1, 6, 11, 16,... are an arithmetic sequence because they follow a pattern in which the preceding term is multiplied by 5 to produce each subsequent number. There are two formulae for arithmetic sequences.

The equation to determine the nth term in an arithmetic series

The formula for calculating the sum of an arithmetic sequence's first n terms

There are two definitions for an arithmetic sequence. It is a "series where the differences between every two succeeding terms are the identical" or "each term in an arithmetic sequence is formed by adding a fixed number (positive, negative, or zero) to its preceding term."

Option 1, 4 and 6 are in Arithmatic Sequence as

In 1:

1, 15, 29, 43, 57 , the common difference is constant which is 14 and formula 1 + 14(n-1)

again in 4 :

37, 34, 31, 29, 26 the common difference is constant which is -3 and formula is 37 - 3(n-1)

and in 6

-4, 5, 14, 23, 32, the common difference is constant which is 9 and formula is -4 + 9(n-1).

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Related Questions

I need help, please
and can someone explain so I can stop posting so many of these?

Answers

it's infinitely many bc the equations have the same line

Answer:

a1x + b1y + c1 = 0

a2x + b2y + c2 = 0

Here a1, b1, c1, a2, b2, c2 are all real numbers.

Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0

Step-by-step explanation:

How many solutions does the following system have?

y = -2x – 4

y = 3x + 3

Solution:

Given y = -2x – 4

y = 3x + 3

Rewriting to the general form

-2x – y – 4 = 0

3x – y + 3 = 0

Comparing the coefficients,

(a1/a2) = -⅔

(b1/b2) = -1/-1 = 1

(a1/a2) ≠ (b1/b2)

Hence, this system of equations will have only one

tomatoes cost 1.19 per pound which equation best represents y the total cost of x pounds of tomatoes

Answers

Answer:y=1.19x

Step-by-step explanation: Since each pound of tomato costs 1.19, you multiple the price by the amount of pounds to get the total cost.

On a negatively skewed curve, which is true?
a.The median is lower than the mode which is lower than the mean. b.The mean, median, and mode are the same. c.The mean is lower than the median which is lower than the mode. d.The mode is lower than the mean which is lower than the median. e.The mean is lower than the mode which is lower than the median.

Answers

The mean is lower than the mode which is lower than the median.

What is skewed?

A skewed curve is a type of statistical distribution in which the data is unevenly distributed. It is often referred to as an asymmetric distribution, meaning that the two halves of the curve look different. Skewed curves can be either positively or negatively skewed, depending on which direction the data points are shifted. Positively skewed curves tend to have a long tail to the right, while negatively skewed curves have a long tail to the left. This type of distribution is commonly seen in real-world data, such as income or wealth distributions.

A negatively skewed curve is characterized by a tail on the negative side of the graph. This means that the data points have a higher probability of being lower than the mean. As such, the mean is lower than the mode, which is lower than the median. The mean is the arithmetic average of all of the data points, the mode is the most frequent value, and the median is the midpoint of the data points.

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What is −30y − 15 if y is 7?

Answers

If y is equal to 7, then −30y − 15 would be equal to −30(7) − 15, which simplifies to −210 − 15. When you perform the operations within the parentheses first, you get −210 − 15, which is equal to −225.

So, the value of −30y − 15 when y is equal to 7 is −225.

Answer:

-225

Step-by-step explanation:

-30*7=-210

-210-15=-225

please give brainliest

What is a no solution answer?

Answers

This type of equation is never true, no matter what we replace the variable with. As an example, consider 3x + 5 = 3x - 5. This equation has no solution.

How do you know if a graph is logarithmic or exponential?

Answers

exponential function in the form y=ab^x by identifying the common ratio (b) and y-intercept (a) in the graph and if the log term involved in the given function then it is a logarithmic

How do you identify an exponential function from a graph?

Given a graph of a line, we can write a linear function in the form y=mx+b by identifying the slope (m) and y-intercept (b) in the graph. GIven a graph of an exponential curve, we can write an exponential function in the form y=ab^x by identifying the common ratio (b) and y-intercept (a) in the graph

and if the log term involved in the given function then it is a logarithmic

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Charlie runs laps around a track. The table shows how long it takes him to run different numbers of laps. How long would it take Charlie to run 5 laps?

Number of laps 2 4 6 8 10
Time (min) 18 36 54 72 90


It will take Charlie ___
minutes to run 5 laps.

Answers

270 mins - 10 laps

xmins -5 laps

(cross multiply)

270*5=10x

10x=1350

x= 1350/10

x=135 mins

Consider the division of 8y2 - 12y + 4 by 4y.

What are the values of a and b?

=a+b++

O a = 2y and b = 3

O a= { and b = -3y

O a= 2y and b = -3

O a = ? and b = 3y

Mark this and return

Save and Exit

Next

Sub

Answers

By solving the given Algebraic expression, the correct answer is Option (C) ,a = 2y and b = –.

What is an Algebraic Expression?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.

There are different components of an algebraic expression. Let us have a look at the image given below in order to understand the concept of Variables, Constants, Terms, and Coefficients of any algebraic expression.

Assume that  8y2 - 12y + 4  has  terms with a=8y² , b=-12y, c=4

Now, to divide 8y2 - 12y + 4  by the monomial (single term) 4y,

The easy way is divide each term of the dividend by the monomial:

8y2 - 12y + 4  /4y

=(8y²-12y+4)/4y

=(8y²/4y)-(12y/4y)+(4/4y)

=2y-3+1/y

After performing the division we get that now a = 2y and  b = –3

We can conclude that the correct answer is a = 2y and b = –3

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what is the common difference for this arithmetic sequence? -6, -2, 2, 6, 10, …

Answers

Answer:

The common difference is 4.

Step-by-step explanation:

Two shipping companies charge different amounts to ship a package. Company A charges a fee of $6.50 and $0.35 for each pound. Company B charges a fee of $7.25 and $0.25 for each pound. Write an equation that could be used to find p, the number of pounds each package would have to weigh for the total cost of shipping the packages to be the same.

Answers

The number of pounds each package would have to weigh for the total cost of shipping the packages to be the same will be 7.50 pounds.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The cost to transport an item varies between two shipping providers. The price charged by Company A is $6.50 plus $0.35 per pound. Charges from Company B are $7.25 plus $0.25 per pound.

Let 'p' be the number of pounds and 'T' be the total cost of shipping. Then the equations are given as,

T = 0.35p + 6.50

T = 0.25p + 7.25

If the total cost of shipping the packages is to be the same. Then the number of pounds is given as,

0.35p + 6.50 = 0.25p + 7.25

0.35p - 0.25p = 7.25 - 6.50

0.10p = 0.75

p = 7.50 pounds

The number of pounds each package would have to weigh for the total cost of shipping the packages to be the same will be 7.50 pounds.

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Write an explicit formula for a_na
n

, the n^{\text{th}}n
th
term of the sequence 27, 9, 3, ...27,9,3,....

Answers

The equation which correctly represents the explicit formula for the nth term of the given sequence is; a (n) = a (n - 1) × ( 1 / 3 ) and a (1) = 27.

Which equation represents the nth term of the given sequence?

As evident in the task content; the given sequence is a geometric sequence and the common ratio of the sequence can be determined as;

r = 3 / 9 = 9 / 27 = 1 / 3.

On this note, since the common ratio of the consecutive terms of the sequence is; 1/3 it follows that the required explicit formula which represents the nth term , a (n) is;

a (n) = a (n - 1) × ( 1 / 3 ) and a (1) = 27.

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15. Jess Norton stopped at an ATM location to deposit 2 one hundred-dollar
bills and checks for $474.85 and $321.15. He received $50.00 in cash.
16. Olive Baker, Spirit club treasurer, deposits the club's receipts. She has 4
checks for $10.00 each, 12 for $7.50, and cash consisting of six 20-dollar
bills, five 10-dollar bills, and 18 one-dollar bills.
17. Cyndi Winer deposits three checks for $425.22, $883.99, and $57.05. She
also deposits cash of 45 one-dollar bills, 15 five-dollar bills, and 12 ten-
dollar bills. The change deposited includes 28 quarters, 16 dimes, 19
nickels, and 65 pennies. She would like to receive $60.00 in cash.
18. Elias Rubio deposits three checks for $598.20, $2,274.26, and $3,248.79.
His cash consists of 75 one-dollar bills, 78 five-dollar bills, 33 ten-dollar
bills, 80 quarters, 32 dimes, 95 nickels, and 5 pennies. He would like to
receive $40.00 in cash.

Answers

The total cost of Jess Norton is $995.85 and the total cost of Olive Baker is $678 .

What is total cost ?

The total cost formula is used to total up the variable and constant expenses associated with providing commodities. Total cost = (Average Fixed Cost x Average Variable Cost) x Units Produced is the formula.

In economics, total cost is the total of all expenses a company incurs to produce a particular level of output.

The average cost, or the typical sum of money required to create a unit, can be determined using the cost function. The average cost function is A(x)=C(x)x, where x > 0 and C is the constant. Calculating the average cost per unit requires dividing the total cost by the quantity of units produced.

For Jees Norton,                    

 2 one hundred dollar bills = 2 x $100

                                                   = $200                

 Total deposits = 2 one hundred dollar bills + Checks

                                = $200 + $474.85 + $321

                                = $995.85          

                     

For Olive Baker,                    

 Checks amount = $100 x 4

                                   = $400                  

 12 for $7.5

       = 12 x $7.5

       = $90                  

 Six 20-dollar bills = 6 x $20

                                     = $120                  

 Five 10-dollar bills = 5 x $10

                                      = $50                  

 Eighteen 1-dollar bills = 18 x $1

                                            = $18                

 Total deposits = $400 + $90 + $120 + $50 + $18

                                = $678

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Find the largest prime number that divides the quantity 0! + (1!) x 1 + (2!) x 2 + (3!) x 3 + ... + (50!) x 50

Answers

The largest prime number that divides the quantity is the largest prime number less than 5.5e+22.

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A prime number that divides a quantity is a prime number that is a factor of that quantity.

We can start by computing the values of the factorials, and then use the property of modular arithmetic to find the prime divisors of the quantity.

0! = 1

1! = 1

2! = 2

3! = 6

...

50! = 30414093201713378043612608166064768844377641568960512000000000000

Now we can write the expression as

(0! + 1x1!) + (2x2!) + (3x3!) + ... + (50x50!)

We can notice that the number is very large, and it's impractical to factorize it using traditional methods.

We can use the property that if n is not divisible by a prime number p, then n! is not divisible by p^2. So we can eliminate all the powers of 2 and 5 from the expression, since 2 and 5 are the only prime factors of the factorials.

The next step would be to check if the remaining number is divisible by any prime numbers.

Since it's impractical to check for all the prime numbers, we can use the fact that the largest prime number is less than the square root of the number in question. Therefore, we can check for all primes less than √(50!) = √(30414093201713378043612608166064768844377641568960512000000000000)

Which is approximately 5.5e+22.

Therefore, the largest prime number that divides the quantity is the largest prime number less than 5.5e+22.

It's important to note that this is a very large number and checking for all prime numbers less than it would take a long time. And thus, answer cannot be given.

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please help asap. i need help.

Answers

The slope of the linear equation that passes through the two given points is 1/7.

How to find the slope of the line?

A general linear equation can be written in the slope-intercept form as:

y = a*x + b

Where the coefficients are:

a: the slope.

b: the y-intercept.

If a line passes through two known points (x₁, y₁) and (x₂, y₂), then the slope is equal to:

a = (y₂ - y₁)/(x₂ - x₁)

In this case, we know that the line passes through (-10, -9) and (-3, -8), then the slope of this linear equation will be:

a = (-8 + 9)/(-3 + 10) = 1/7

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Write the terms in standard form. Then state the degree of the polynomial and the leading coefficient (LC).

Answers

On solving the provided question, we can say that - the answer of the following sequence 1.9, 3x , 8x will be 13.78x

what is a sequence?

A sequence is a collection of numerals (referred to as "terms"), for example, 2, 5, 8. A specific pattern that some sequences follow may be leveraged to make them infinitely long. To continue the series, add 3 and use the example of 2,5,8. Formulas that show where to look for words inside a sequence can be found there. Informally, a sequence in mathematics is a collection of items that are in some order (or events). It has components, much like a set (also called elements or terms). The length of the sequence refers to the total, potentially unlimited number of ordered items. arranging two or more objects in a logical sequence. Chronological.

sequence 1.9, 3x , 8x

answer is = 13.78x

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If a student scored 75 points on a test where the mean score was 83. 5 and the standard deviation was 6. 1. The student's z score is ________. Round to 2 decimal places

Answers

The z score of the student is -1.39. The value z score is rounded to 2 decimal places.

What is mean?

The arithmetic mean, also known as the arithmetic average or simply the mean or average, is the sum of a set of numbers divided by the total number of numbers in the set. The collection frequently consists of a series of findings from a survey, experiment, or observational study.

The formula for the z-score is

z = (x - μ)/σ

x = standard value

μ = mean

σ = standard deviation

Given that the scored 75 points. The mean score of the student was 83.5 and the standard deviation was 6. 1.

Putting x = 75, μ = 83.5 and σ = 6.1

z = (75 -  83.5)/6.1

z = -1.3934

z ≈ -1.39

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what is the answer 6u+2(u-8) - 4

Answers

Answer:

8u - 20

Step-by-step explanation:

Can you guys answer the top question thanks?

Answers

The required solution are as follows,
(A) Kyra's equation of line, passes through 15 pts.
(B) Liam's equation of line, passes through 20 pts.
(C) the equation of line passes through 30 pts is y = 4/3x + 5.

What is a line?

A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.

here,
Drawing the graph on the graph and evaluating which line pass through which points,

(A)

Kyra's equation of a line is y = 1/2 x
And from the graph, it is seen that the line passes through 15pts

Similarly,
(B) passes through 20 pts

(C)

from the graph, it is seen that equation y = 4/3x + 5 passes through 30 points.


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Which expression is the factored form of X^3 2x^2 5x 6?

Answers

The factors of the given equation x³ - 2x² - 5x + 6 is (x - 1)(x + 2)(x - 3) with the help of synthetic division.

Let f(x) = x³ - 2x² - 5x + 6

Substitute x = 1

f(1) = (1)³ - 2(1)² - 5(1) + 6

⇒ f(1) = 1 - 2 - 5 + 6

⇒ f(1) = -1 + 1

⇒ f(1) = 0

As x = 1 is the root of the given equation therefore one of the factor of the given equation is (x-1)

Now use long division method, we get (x² - x - 6) as another factor.

⇒ f(x) = (x - 1)(x² - x - 6)

⇒ f(x) = (x - 1)(x² - 3x + 2x - 6)

⇒ f(x) = (x - 1)(x(x-3) + 2(x-3))

⇒ f(x) = (x - 1)(x - 3)(x + 2)

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On the way home, Mark rode the first six miles of the trip in 30 minutes to stop at the ice cream shop. What was his speed in miles per hour

Answers

The speed of Mark riding the bike is 16 miles/hour. If you know how far something has travelled and how long it took to get there, you can calculate its average speed. Speed is calculated as follows: speed = distance * time.

What are time, distance, and speed?

Speed tells us how quickly or slowly an object is moving. While distance, as the name suggests, refers to the amount of space between two points, time refers to the period of time separating two events.

Given,

Distance travelled= 6 miles

time taken = 30 minute =0.5 hour

[tex]speed = distance/time\\speed=8/0.5\\speed= 16 miles/hour[/tex]

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4. Automotive Trades At the beginning of the day on Monday, the parts
department has on hand 520 spark plugs. Mechanics in the service depart-
ment estimate they will need about 48 plugs per day. A new shipment of
300 will arrive on Thursday. Write out a mathematical statement that gives
the number of spark plugs on hand at the end of the day on Friday. Calcu-
late this total.
StS estimate

Answers

Therefore , the solution of the given problem of equation comes out to be 580 spark plugs will be left.

Describe the equation.

Using the equals symbol (=), a mathematical equation appears to be a formula that connects two statements and denotes equality. A scientific assertion that supports the equality of two mathematical abstraction is known as an equation in algebra. For instance, the equal sign is present between the variables ptdc + 6 and 12 in the output obd + 6 = 12. The link between the syllable on either side of either a letter is described by a mathematical formula. In many cases, the logo and the say — are identical.

Here,

Given: A new supply of 300 spark plugs will come on Thursday,

and 520 spark plugs require 48 plugs per day.

To determine an equation to determine however many plugs will just be left at the end of Friday:

So,

where n is the no of days

=> 520 - 48*n + 300

=> 520 - 48*5 + 300

=> 520 - 240 + 300

=> 520 + 60

=> 580

Therefore , the solution of the given problem of equation comes out to be 580 spark plugs will be left.

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Express √75 in basic form​

Answers

Answer:

[tex]5 \sqrt{3} [/tex]

Step-by-step explanation:

Frist find which perfect square goes into 75. In this case its 25 * 3. You then find out what is the square root of 25. Which is 5. you put that number outside the radical and the other number inside the radical. resulting in 5 square roots of 3.

Answer: Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Exact Form:

5√3

Decimal Form:

8.66025403…

answer fast need in 10 min

Answers

10 equally sized slices of the spinner's 250 results. 25 times were made by Diane's dial. 12 spins are for 208.33333333333334 .

What is the probability of spinner?

12 spins are for 208.33333333333334, 5 spins are worth 500, and 8 spins are worth 312.5. There are eight possibilities each time you spin the spinner (1-8). One of these eight options is for you to land on the number 8. In this case, the probability is 18.

If you spin three times and fall on red (or any other colour), the likelihood is 3/30. The likelihood that the spinner will land on an even number is 5/10. The ratio of the number of "1s" to all the other numbers on the spinner determines this probability. The spinner has a total of 8 numbers on it. The spinner has three ones on it.

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Which of the following can you determine, when you use deduction and start
from a given set of rules and conditions?
A. What may be true
B. What must be true
C. None of these
D. What may be false
k

Answers

The correct option is B.Because when i use deduction and start from a given set of rules and condition is what must be true.If you analyze it to be true then it must be definitely true.

What is deduction in math?

Deduction is a conclusion from something known or assumed. This is the type of reasoning we use in almost every step in a mathematical argument. For example to solve 2x = 6 for x we divide both sides by 2 to get 2x/2 = 6/2 or x = 3.

What is deduction rule in logic?

In mathematical logic a deduction theorem is that justifies doing conditional proofs—to prove an implication A → B, assume A as an hypothesis and then proceed to derive B—in systems that do not have an explicit inference rule for this.

Now we able to know

Deduction is a term used to known as validated principle.This is when you analyze points through logic from a given set of rules and condition.

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How do I write a system of equations

Answers

So for a word problem I assume you must first define your variables. Ask yourself what is the question asking and how could the question be answered with what you know through relationships that the problem defines. For example if the problem says that the total of a few thing is a number put that in as one of your equations. Examine how relationships like if there is half the amount of variable A than variable B work and figure out how to write that as an equation that makes sense. To double check if you wrote your equations correctly double check the information given in the problem and mentally sound out the equation. Hope this helps and note there are as many equations as there are variables in your system.

In ΔEFG, g = 8.4 inches, mm∠G=79° and mm∠E=25°. Find the length of f, to the nearest 10th of an inch.

Answers

The 8.4 inches length of g and the 79° and 25° measures of the angles ∠G and ∠E, using the law of sines, indicates that the length of the side  EG = f is about 8,3 inches.

What is the law of sines?

The law of sines states that the ratio of the sine of an interior angle of a triangle to the length of the opposite side to the angle is the same for the three sides and angles in a triangle.

Mathematically, the law of sines can be presented as follows;

[tex]\dfrac{a}{sin(A)} = \dfrac{b}{sin(B)} =\dfrac{c}{sin(C)}[/tex]

Where;

a, b, and c are the length of each of the sides of the triangle, and ∠A, ∠B, and ∠C are the measure of each of the interior angles of the triangle.

The details of the triangle ΔEFG, specifying the side g as the side opposite the angle ∠G, and the side f as the side opposite the ∠F we get;

The length of EF = g = 8.4 inches

Length of EG = f

The angle sum property of a triangle indicates that we get;

∠E + ∠F + ∠G = 180°

∠F = 180° - (∠E  + ∠G)

∠F = 180° - (25°  + 79°) = 76°

According to the law of sines, we get;

8.4/(sin(79°) = f/(sin(76°))

f = (sin(76°)) × 8.4/(sin(79°) ≈ 8.3

The measure of the length of f is about 8.3 inches

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(1 point) | Question Attempt: 1 of Unlimited
Suppose that the functions h and g are defined as follows.
h(x)=x-2
g(x)=(x-4)(x+2)
h
(²)(-1).
(a) Find
h
(b) Find all values that are NOT in the domain of
9
If there is more than one value, separate them with commas.

Answers

All values that are NOT in the domain of 9 are 5 /11 at x=9, where function  h=7.

How can I determine a rational function's domain?

All real numbers x, with the exception of those for which the denominator is 0, are included in the domain of a rational function. Equilibrate the denominator to zero and then solve for x to determine which x values are excluded from the scope of a rational function.

h(x)=x-2\sg(x)=(x-4)(x+2)

Suppose x = 9 and h(9) = 9-2 and g(9) = (9-4) (9+2) =5 /11

Because it is impossible to divide by zero while h is in the denominator, there will always be an issue anytime h = 7. After solving them, we discover that x cannot be either -2 or 5. So, the answer to part B would be x-5/11.or 5/11 are examples of x values that are beyond the domain.

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EU Migration Study

Discussion Question: In the EU migration study, 257 of the 583 immigrants

sampled were male. Let's assume the Trump/Farage claim is true: 60% of all

immigrants are male (p = 0. 60). What is the probability of obtaining 257 or fewer

males in a sample of 583 immigrants? Does this probability make you doubt the

Trump/Farage claim? Why or why not?

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Answers

This probability does not support the Trump/Farage claim that 60% of all immigrants are male.

What is the probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes, and how likely they are.

The probability of obtaining 257 or fewer males in a sample of 583 immigrants can be found using the binomial probability formula, which calculates the probability of a specific number of successes (male immigrants) in a fixed number of trials (sample size) with a fixed probability of success (p = 0.60).

Using the binomial formula, the probability of obtaining 257 or fewer males in a sample of 583 immigrants can be found by summing the probabilities of obtaining 257 males, 256 males, 255 males, etc. up to 0 males.

Using a binomial calculator, we can find that the probability of obtaining 257 or fewer males in a sample of 583 immigrants is about 0.04.

This probability is quite low, which suggests that it is unlikely to obtain 257 or fewer males in a sample of 583 immigrants if the proportion of male immigrants is actually 60%.

Therefore, this probability does not support the Trump/Farage claim that 60% of all immigrants are male.

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A restaurant manager believes that a majority of customers who dine at his restaurant would rate the food as excellent. To investigate this belief, he sends an email survey to a random sample of 50 customers from the large list of customers who have signed up for his frequent diner club. To encourage the customers to complete the survey, he offers a $10 gift card upon completion of the survey. He receives 22 responses, of which 20 rated the food as excellent. He would like to know if these data provide convincing evidence that more than 50% of customers who dine at his restaurant would rate the food as excellent. Are the conditions for inference met

Answers

The conditions for inference are: The customers who are surveyed are chosen independently at random, so we can assume that the survey results are independent.

What do you mean by normalcy?

The amount of grams or mole equivalents of solute present in a solution that contains one liter is what is referred to as normalcy according to the accepted definition. The amount of moles of reactive units in a compound is what we mean when we say it is equal.

Sample size: The manager is surveying 50 customers, which is a moderate-sized sample.Normality: Since the manager is only looking at the proportion of customers who rated the food as excellent, we can assume that the data are approximately normally distributed.Randomness: The manager is using a random sample from the list of customers who have signed up for his frequent diner club, so we can assume that the sample is random.

The conditions for inference are met.

However, to conclude that more than 50% of customers who dine at his restaurant would rate the food as excellent, we need to conduct a statistical test such as a one-sample proportion test or a confidence interval. The manager would need to compare the proportion of the customers who rated the food as excellent from the survey with the proportion of customers who would rate the food as excellent. This would allow to see if the data provides convincing evidence that more than 50% of customers who dine at his restaurant would rate the food as excellent.

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What is the coefficient form of X³ 2 *?

Answers

Let x= the co-efficient of x^2. So the co-efficient of given function is x=1.

Define co-efficient.

The term "coefficient" refers to a number or symbol that multiplies another number or symbol (used as a mathematical variable).

Write an example of co-efficient.

An amount multiplied by a variable is known as a coefficient. As an illustration, 6z stands for 6 times z. Since z is a variable, 6 is a coefficient. For variables without a value, the coefficient is 1.

Let x= the co-efficient of x^2 So the co-efficient of given function is x=1.

The term multiplied with x^3 is the co-efficient of this expression. As there is not term with x^2 so it is 1.

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