The mean number of years of marriage preceding divorce is 7. The median mber of years is 6. Most divorces occur, however, either at 3 years of marriage 22 years. Which measure of central tendency best describes these data, and y?

Answers

Answer 1

The measure of central tendency that best describes the given data is the Mode.

The mode is the value that occurs most frequently in a data set. According to the given data, most divorces occur either at 3 years of marriage or 22 years. Hence, the mode best describes these data.

The mean is the average value of a data set, which is calculated by adding all the values and dividing by the number of values.

The median is the middle value of a data set when arranged in numerical order. In the given data, the mean number of years of marriage preceding divorce is 7, and the median number of years is 6. Since most divorces occur at either 3 years or 22 years, the mode best describes the given data.

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Related Questions

the quotient property of radicals requires the indices of the radicals to be the same. does this mean that it is not possible to write as a single radical? explain.

Answers

The quotient property of radicals requires the indices of the radicals to be the same. Thus, it is not possible to write the expression (5√3 + 2√2) as a single radical.What is the quotient property of radicals?

The quotient property of radicals states that for any non-negative numbers x and y with y ≠ 0, if n is an integer greater than 1, then the following property holds:√(x/y) = √x/√yNow let's take a look at the question at hand. We can see that the two radicals have different indices. Therefore, the quotient property of radicals does not apply. As a result, it is not possible to simplify the expression as a single radical. Therefore, the expression (5√3 + 2√2) cannot be written as a single radical.

The quotient property of radicals states that when dividing radicals, the indices (or roots) of the radicals involved must be the same. In other words, for the quotient property to be applicable, the radicals being divided must have the same root.

If the radicals have different indices, it is generally not possible to simplify the expression into a single radical. This is because the rules of radical arithmetic require the indices to be the same in order to combine or simplify radicals.

For example, let's consider the expression √2 / √3. Here, the radicals have different indices (square root and cube root), so we cannot combine them into a single radical using the quotient property. The expression √2 / √3 cannot be simplified further because the indices do not match.

However, it's important to note that even though the quotient property does not apply in such cases, it does not mean that the expression is mathematically invalid or cannot be manipulated further. It simply means that the expression cannot be simplified into a single radical using the quotient property. Other algebraic techniques or operations may be necessary to further simplify or manipulate the expression if desired.

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The given information is the quotient property of radicals requires the indices of the radicals to be same.

Yes, it is not possible to write [tex]$8\sqrt{2}+5\sqrt{3}$[/tex] as a single radical because the quotient property of radicals requires the indices of the radicals to be the same.

The quotient property of radicals is a mathematical concept that explains how to divide two radicals with the same index. If r is a non-negative number and s is a non-negative number, then:

[tex](\frac{r}{s})^{n}=\frac{r^{n}}{s^{n}}[/tex]

The property of quotient states that the quotient of the same degree radicals is equal to the same degree root of the quotient of the radicands. If a and b are non-negative numbers and n is an integer greater than 1:

[tex](\frac{a}{b})^{n}=\frac{a^{n}}{b^{n}}\sqrt[n]{\frac{a}{b}}[/tex]

[tex]=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}[/tex]

If you look at the terms [tex]$8\sqrt{2}$ and $5\sqrt{3}$[/tex], you can tell that their indices are not the same. The term [tex]$8\sqrt{2}$[/tex] has an index of 2 while the term [tex]$5\sqrt{3}$[/tex] has an index of 3. The quotient property of radicals requires the indices of the radicals to be the same. Therefore, you cannot add or subtract two radicals that do not have the same index.

Example: [tex]$8\sqrt{2}+5\sqrt{3}$[/tex] can be rearranged as [tex]$8\sqrt{2}+0\sqrt{3}+5\sqrt{3}$[/tex]. Then using distributive property, it can be written as [tex]$(8+0)\sqrt{2}+5\sqrt{3}$[/tex]. In conclusion, it is not possible to write [tex]$8\sqrt{2}+5\sqrt{3}$[/tex] as a single radical.

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The flywheel on a steam engine rotates 60 revolutions every 15 seconds what is the flywheel rate of revolution per second

Answers

Answer:

4 revolutions per second

Step-by-step explanation:

60 revs / 15 secs = 4 revs/sec

Answer:

4 revolutions per second

Step-by-step explanation:

60/15 = 4


Find the sum of (6x2 - 9x + 7) and (- 8x2 + 10x - 14)

Answers

Answer:

-2x² + x - 7

Step-by-step explanation:

(6x² - 9x + 7) + (-8x² + 10x - 14)

6x² - 9x + 7 - 8x² + 10x - 14

6x² - 8x² - 9x + 10x + 7 - 14

-2x² + x - 7

A running track consists of two parallel lines that are connected at each end but the curved boundary of a semicircle. The parallel lines are 30 meters long and 7 meters apart. Fine the area inside the running track.

Answers

Answer:

The area inside the running track is 248.5 m².

Step-by-step explanation:

The area inside the running track is given by the sum of the area of a rectangle and the area of a semicircle:

[tex] A_{t} = A_{r} + 2A_{c} [/tex]                

[tex] A_{t} = x*(2r) + 2*(\frac{\pi r^{2}}{2}) [/tex]      

Where:

x: is one side of the rectangle = 30 m            

r: is the radius = half of the other side of the rectangle = 7/2 m = 3.5 m

Hence, the total area is:

[tex] A_{t} = 30*7 + \pi (3.5)^{2} = 248.5 m^{2} [/tex]                            

Therefore, the area inside the running track is 248.5 m².

I hope it helps you!                                                    

What type of triangle is this ?

Answers

Answer:

triangle bby

Step-by-step explanation:

Step-by-step explanation:

Right because there's an angle of 90

If x and y are two rational numbers such that x < y , then ______ is a rational number in between x and y.

Answers

Answer:

[tex]\dfrac{x+y}{2}[/tex]

Step-by-step explanation:

Let first number be x and another number is y.

A rational number is a fraction that can be expressed in the form of x/y.

A rational number between x and y is given by :

[tex]R=\dfrac{x+y}{2}[/tex]

So,

If x and y are two rational numbers such that x < y , then [tex]\dfrac{x+y}{2}[/tex] is a rational number in between x and y.

What is the quotient of 1,234 and 4?

Answers

Answer:

308.5 lol

Step-by-step explanation:

In the following diagram, parallelogram ABCD contains triangle CED. Line CE and line ED intersect at point E. The measures of ∠CEA and ∠CDE are shown. What is the measure of x?______ degrees *

Answers

Answer:

∠x = 59°

Step-by-step explanation:

∠ECD = 52°   because they are alternate angles and will be equal

∠x = 180° - 52° - 69° = 59°  because the sum of the interior angles of a triangle = 180°

Convert 3.1415 x 10^-2 to standard notation.

Answers

The answer is .031415

HELP ME TEST QUESTION!! A bar graph is shown below. What percent of owners chose dog as their favorite pet?

Answers

26 look at the graugh

A hemisphere with diamater 17 cm

Answers

Answer:

not enough information

Step-by-stepexplanation:

need help with this one also

Answers

Answer:

scale factor 3 is the answer.

Step-by-step explanation:

Length = 18 in

Breadth = 3 in

height = 10 in

Volume of cuboid = l × b × h

V = 18 × 3 × 10

V = 540 in³

540 in³ is the original volume. The volume needs to be tripled, so multiply the original volume with 3

V = 540 × 3 = 1620 in³

∴ 1620 in³ will be the new volume if it's tripled and the scale factor is 3.

Write an equation for this problem ( tell if it’s linear or exponential)

Answers

If it’s linar it would be across right? So it’s not linar is exponential

Answer: what I just said xD

. A loan worth 500,000 pesos is payable in 10 years at an effective annual interest rate of 18%. At the end of each year, the borrower pays 50,000 pesos in principal, which is 1/10 of the loan amount, along with the interest due. Find a formula for the kth payment Pₖ. Then construct an amortization schedule.

Answers

The formula for the kth payment Pₖ is Pₖ = (1/10 * PV) + (PV * r).

To find a formula for the kth payment Pₖ, we can start by calculating the monthly interest rate and the total number of payments.

Given that the loan is payable in 10 years, we have a total of 10 payments. The loan amount PV is 500,000 pesos, and the effective annual interest rate r is 18%.

First, let's calculate the monthly interest rate:

Monthly interest rate = (1 + r)^(1/12) - 1

Substituting the values, we have:

Monthly interest rate = (1 + 0.18)^(1/12) - 1 ≈ 1.4337% or 0.014337

Now, let's find the kth payment Pₖ. Since the borrower pays 50,000 pesos in principal at the end of each year, which is 1/10 of the loan amount, we can modify the formula to:

Pₖ = (1/10 * PV) + (PV * r)

Substituting the given values, we have:

Pₖ = (1/10 * 500,000) + (500,000 * 0.014337)

Simplifying, we get:

Pₖ ≈ 50,000 + 7,168.5 ≈ 57,168.5 pesos

This formula gives the kth payment Pₖ for any specific year during the loan term.

Now, let's construct an amortization schedule for this loan:

Year | Payment | Principal | Interest | Balance

--------------------------------------------------

1    | 57,168.5 | 50,000   | 7,168.5  | 450,000

2    | 57,168.5 | 50,000   | 7,168.5  | 400,000

3    | 57,168.5 | 50,000   | 7,168.5  | 350,000

...

10   | 57,168.5 | 50,000   | 7,168.5  | 0

In each year, the principal payment remains constant at 50,000 pesos, and the interest payment gradually decreases as the outstanding balance decreases. The balance reaches zero after 10 years, indicating that the loan has been fully paid off.

Please note that the actual schedule may vary slightly due to rounding errors and the specific date of the first payment.

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The cone and cylinder above have the same radius, r, and height, h. The volume of the cone is 69 cubic centimeters. What is the volume of the cylinder?

A. 138 cubic centimeters
B. 207 cubic centimeters
C. 23 cubic centimeters
D. 276 cubic centimeters

Answers

Answer:

207 cubic centimeters

Step-by-step explanation:

Given

volume of cone  = 9 cubic centimeters

Since the cone and cylinder above have the same radius, r, and height, h, then r = h

volume of the cone = 1/3πr²h

69 =  1/3πr²h

πr²h = 69*3

πr²h = 207cubic cm

Since the volume of the cylinder =  πr²h

Hence volume of the cylinder is 207 cubic centimeters

The drawing shows a semicircular window separated into 3 sections of colored glass
Approximately how many square inches of the tinted glass are red

Answers

Answer:

141.3

Step-by-step explanation:

27.78% of the total area is covered with red.

What is the area of a sector? What is a expression? What is a mathematical equation?A part of a circle is called sector. The area of a sector is given by -

       (Ф/360) x πr²

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the given semicircle as shown in image.

Total green coloured area -

A[G] = 2 x {(Ф/360) x πr²}

A[G] = 2 x (40/360 x πr²}

A[G] = (2/9)πr²

Now -

A[R] = πr²/2 - (2/9)πr²

A[R] = πr²{1/2 - 2/9}

A[R]% = (πr²{1/2 - 2/9}/πr²) x 100

A[R]% = (1/2 - 2/9) x 100

A[R]% = (9 - 4)/18 x 100

A[R]% = 5/18 x 100

A[R]% = 500/18

A[R]% = 27.78%

Therefore, 27.78% of the total area is covered with red.

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what is the area of a semicircle that has a radius of 30 feet

Answers

Answer:

1413 sq ft.

Step-by-step explanation:

Area of a semicircle=(1/2)*πr²

Radius=30ft

A=(1/2)*3.14*30²=1413 sq ft.

Jenna earns $8.75 per hour working at the mall. If Jenna worked 25 1/5 hours last week, how much did she earn before taxes were taken out?

Answers

Answer:

$220.5

Step-by-step explanation:

To answer this simply multiply the number of hours (25.2) times the hourly wage 8.75 and you'll get the answer

25.2 times 8.75 equals 220.5

What is the value of
[tex] \sqrt{100 \times 4} [/tex]

Answers

answer: 20

explanation: simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers

Answer:

√{100×4)=√20²=±20 is your answer

help with this question pleaseee !!

Answers

I can’t see the picture I am sorry

can someone please help me with this problem?

Answers

Answer:

14

Step-by-step explanation:

First you figure out what the value of x is, and then you must add the numbers in the Participates in Sports column to get 14

If your car gets 29 miles per gallon, how much does it cost to drive 300 miles when gasoline costs $3.20 per gallon?

Answers

If your car gets 29 miles per gallon, the cost to drive 300 miles when gasoline costs $3.20 per gallon is approximately $33.10.

One way to determine the cost of driving 300 miles is to divide the number of miles by the miles per gallon (MPG) and then multiply by the cost of gasoline per gallon.

Divide 300 miles by 29 MPG to get the total number of gallons of gasoline needed:

300 ÷ 29 ≈ 10.34 gallons

Round up to the nearest whole number to get 11 gallons

Multiply the number of gallons by the cost per gallon of gasoline:

$3.20/gallon x 11 gallons = $35.20

Therefore, it will cost $35.20 to drive 300 miles when gasoline costs $3.20 per gallon with a car that gets 29 miles per gallon.

We know that 1 US gallon equals 3.785411784 liters. Therefore, the car travels 29 x 3.785411784 = 109.724897 liters in 1 US gallon.

So, the cost of traveling 300 miles will be 300/29 = 10.34482759 gallons.

So, the cost of traveling 300 miles will be $3.2 x 10.34482759 = $33.10344828. Therefore, the cost of traveling 300 miles will be $33.10 approximately.

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16. Find the perimeter of AJKL.
J
8x - 35
N
5x - 8
77-9
K
Р
M M
2y + 11
o
32
L

Answers

Answer:

Parameter OF Δ JKL = 138 unit

Step-by-step explanation:

Given:

JN = 8x - 35

NK = 7y - 9

OK = 2y + 11

OL = 32 - [2y + 11]

JM = 5x - 8

Find:

Parameter OF Δ JKL

Computation:

We know that tangent from same points are always equal

So,

ML = OL

JM = JN

5x - 8 = 8x - 35

8x - 5x = 35 - 8

3x = 27

x = 9

So,

JN = 8x - 35

JN = 8(9) - 35

JN = 37 unit

JM = 5x - 8

JM = 5(9) - 8

JM = 37 unit

NK = OK

7y - 9 = 2y + 11

5y = 20

y = 4

NK = 7y - 9

NK = 7(4) - 9

NK = 19 unit

OK = 2y + 11

OK = 2(4) + 11

Ok = 19 unit

OL = 32 - [2(y) + 11]

OL = 32 - [2(4) + 11]

OL = 13 unit

So,

LM = OL = 13 unit

Parameter OF Δ JKL = JN + NK +  OK + OL + LM + JM

Parameter OF Δ JKL = 37 + 19 + 19 + 13 + 13 + 37

Parameter OF Δ JKL = 138 unit

Answer:

Step-by-step explanation:

g

Newborn babies weigh an average of 7.5 pounds with a standard deviation of 1.25 pounds. Find the 2-score for a baby who weighs 6.70 pounds. Round your answer to 2 decimal places. I

Answers

This indicates that the baby's weight is 0.64 standard deviations below the mean weight of newborn babies.

What is the sample size required to estimate the population mean with a given margin of error, confidence level, and population standard deviation?

To calculate the z-score, we use the formula:

z = (x - μ) / σx is the observed value (weight of the baby),μ is the mean (average weight of newborn babies),σ is the standard deviation.

In this case, the observed weight is 6.70 pounds, the mean weight is 7.5 pounds, and the standard deviation is 1.25 pounds.

Plugging these values into the formula, we get:

z = (6.70 - 7.5) / 1.25

Calculating this, we find that the z-score is approximately -0.64.

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A combination lock with three dials, each numbered 1 through 8, is defective in that you only need to get two of the numbers right to open the lock. (For example, suppose the true combination is 4-2-7. Then 4-2-7 would open the lock, but so would 4-2-5, 4-2-2, 4-8-7 or 4-6-7. But not 2-4-7.)

Answers

Answer:

64 combination attempts

Step-by-step explanation:

Since each dial in the lock is numbered from 1-8 then there are 8 possibilities for each dial. Out of the three dials, only 2 actually need to be correct in order for the lock to open therefore, we simply raise the number of possibilities for each dial to the power of 2 which should give us the total number of tries we need in order to guarantee that it opens. Assuming that you are making the combinations in numerical order 1-1-1, 1-1-2, 1-1-3, etc.

8^2 = 64 combination attempts

Given m
|| n, find the value of x.
т
n
(6x+19)°
(4x+11)
a
Help what is X

Answers

Answer:

x=15

supplementary angle equals 180

D. The cost to play the game is $2. The winner gets $6 for making purple. How much profit would the school make from 18 people playing the game?​

Answers

Answer:

$30

Step-by-step explanation:

1 person = $ 2

18 person = 2 × 18 = $36

winner = $6

profit = 36 - 6 = $30

A boat has a depreciation rate of 12% per year. If the original price of the boat was $15,000, what is the value of the boat 5 years later? Round your answer to the nearest penny (hundredths place value). ​

Answers

Answer: $7,915.98

Step-by-step explanation: This is an exponentially decaying problem, so that means we use the formula ab^x.

The a value is the original price or the starting point, which is 15,000. The b value is the ratio in which it decreases or increases. It is decreasing, so we subtract 12 from 100, which is 88. The ratio should be in decimal form, so it is 0.88. Finally, the x should be the exponent, the amount of times it is getting multiplied by the ratio. So the equation would be 15,000(0.88)^5.

Then, we solve.

0.88 * 0.88 * 0.88 * 0.88 * 0.88 = 0.5277319168

Then 0.5277319168 * 15,000 = 7,915.978752.

Of course, we round to the nearest hundredth, which is 7,915.98. Hope this helped.

An assembly operation in a manufacturing plant requiresapproximately a 1- month training period for a new employee toreach maximum efficiency in assembling a device. A new method oftraining was suggested, and a test was conducted to compare the newmethod with the standard procedure. Two groups of nine newemployees were trained for a period of 3 weeks, one group using thenew method and the other following the standard procedure. Thelength of time (in minutes) required for each employee to assemblethe device was recorded at the end of the 3-week period. Thesemeasurements appear in the table below.
Do the stat present sufficient evidence to indicate that the meantime to assemble at the end of a 3 week training period is less forthe new training procedure?
Standard Procedure

New Procedure

32

35

37

31

35

29

28

25

41

34

44

40

35

27

31

32

34

31

a. Perform the test using the classical approach α=0.05.
b. Perform the above test assuming population variances areequal.
c. Perform the above test (#2) using the p-value approach.(You will not be able to find an exact p-value but you will be ableto find an interval within which the p-value falls. This will beenough for you to make a decision.)

Answers

P-value is less than the level of significance α = 0.05, we reject the null hypothesis and conclude that the mean time to assemble at the end of a 3-week training period is less for the new training procedure.

a. Performing the test using the classical approach α=0.05

Hypothesis test:

Null hypothesis H₀: The mean time for the new procedure = the mean time for the standard procedure

Alternative hypothesis H₁: The mean time for the new procedure < the mean time for the standard procedure (one-tailed test)

Level of significance α = 0.05

Since population standard deviations are unknown, we will use the t-test to conduct the hypothesis test.

Below is the calculation of the t-test.(For detailed calculation of t-test, please refer to the image attached)

Using a t-distribution table with df = 14 (n1 + n2 - 2), the critical value for a one-tailed test at α = 0.05 is -1.761.

The test statistic (-2.029) is less than the critical value (-1.761), so we reject the null hypothesis and conclude that the mean time to assemble at the end of a 3-week training period is less for the new training procedure.

b.Performing the above test assuming population variances are equal

Hypothesis test

Null hypothesis H₀: The mean time for the new procedure = the mean time for the standard procedure

Alternative hypothesis H₁: The mean time for the new procedure < the mean time for the standard procedure (one-tailed test)Level of significance α = 0.05

Since population variances are assumed to be equal, we will use the pooled t-test to conduct the hypothesis test.

Below is the calculation of the pooled t-test.(For detailed calculation of pooled t-test, please refer to the image attached)

Using a t-distribution table with df = 16 (n₁ + n₂ - 2), the critical value for a one-tailed test at α = 0.05 is -1.746.

The test statistic (-2.029) is less than the critical value (-1.746), so we reject the null hypothesis and conclude that the mean time to assemble at the end of a 3-week training period is less for the new training procedure.

c. Performing the above test (#2) using the p-value approach.

Hypothesis test:

Null hypothesis H₀: The mean time for the new procedure = the mean time for the standard procedure

Alternative hypothesis H₁: The mean time for the new procedure < the mean time for the standard procedure (one-tailed test)

Level of significance α = 0.05

Since population variances are assumed to be equal, we will use the pooled t-test to conduct the hypothesis test.

The test statistic is -2.029, which corresponds to a p-value of 0.0328.

Since the p-value is less than the level of significance α = 0.05, we reject the null hypothesis and conclude that the mean time to assemble at the end of a 3-week training period is less for the new training procedure.

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What is the slope, m, of the line? Enter your answer as a decimal.
Round to the nearest hundredth.

Answers

Answer:

4.56

Step-by-step explanation:

The slope (m) of the line given in the graph is -0.332.

In the given graph coordinates of the line are given, that is (2,0) and (-4, 2).

How to find the slope of the line?

Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

Now, the slope of the line=m=0-2/2-(-4)=-2/6=-0.33333

-0.33333≈-0.332

Therefore, the slope (m) of the line given in the graph is -0.332.

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What are some figurative language examples in They Don't Know About Us by One Direction? someone help pleas ewill give brain HELPPP I need the answers for number 4, 5, and 6.35 points!!!! ANSWERING ONE WOULD BE FINE Help please HELP I need the Answer PLS HELP I HAVE BEEN ASKING FOR 4 DAYS IM JUST GETTING BAD ANSWERS I WILL GIVE BRAINLIEST. IM ABOUT TO FAIL :(((((((((((((( what is the length of the hypotenuse of the triangle when x = 3? what reflectivity would be necessary to keep the average temperature exactly at the freezing point? express your answer in percent to two significant figures. Creating RNA from DNA money poem by Reginald gibbons alliteration, consonance A. Given the following statements Let x e N, where N = {1,2,3,4,5). = a) VX EN,x + 4 < 2. b) 3x E N. x + 2 > 5. 1. Find the truth value of a) and b). 2. What is the negation of a) and b). B. Prove the following assertions (Using either direct or indirect proof) 1. If x is even and y is odd, then x + 2y is even. 2. If x and y are odd, then (x + 3) + y is odd. +2 n(n+1) Can you help me with History? (1 point) Match the confidence level with the confidence interval for . 1.1.645 2. x 2.575 3. x 1.96 A. 95% B. 99% C. 90% ( a: What is menu pricing? full explanationb: Provide a simple example in which menu pricing increases profits compared to separate selling for a monopolist and explain in detail why it is possible to generate larger profits.full explanationc: Also provide a related example in which menu pricing does not lead to larger profits. full explanationd: Explain in detail why the situation is deferent. The examples should not be taken from the notes or the book full explanation cani get help with thisQ4. 8 Points Given the immediate predecessors and a, m, b for each activity in the table below, compute: a. t, and V for each activity b. ES, EF, LS, and LF for each activity. c. Te and Vp for the pro Read the paragraph.Tabitha sat on the beach and stared at the waves crashing against the sand. Without a doubt, this would be a challenging ride. The towering green waves reminded her of an angry sea creature.Pick the best sentence to finish the paragraph.She had been surfing for years, but these were the biggest waves she had ever seen.See had been surfing for years, but these waves were far larger than anything she had ever seen.She had been surfing for years, but these waves were the scariest ones she had ever seen.She had been surfing for years, but these waves were the most monstrous she had ever seen. 40 POINTS !! 40 POINTS !!PLEASE HELP , DONT SKIP !NO LINKS OR FILES. I give up.. please dont just answer for points PLEASEE HELP MEEE if u get it right then i swear i owe you a brainliest :P The details in persuasive writing serve asthat will support your main point.A. subheadingsB. evidenceC. thesis statementsD. description unidad de 1000 a Cuntos centmetros equivale Which is not true about FP Growth Tree algorithm from following statementsA.it mines frequent itemsets without candidate generationB. There are chances that FP Tree may not fit in the memoryC. FP Tree very expensive to buildD . It extends the original database to build FP tree