designate rows 1-500 as the training data, and rows 501-777 as the test data. which college is in the top row of your test data?

Answers

Answer 1

To determine which college is in the top row of your test data, you need to check the dataset. The top row of the test data is row 501. You need to find the name of the college in column A of row 501 to determine which college is in the top row of your test data.

To designate rows 1-500 as the training data, and rows 501-777 as the test data, you need to follow the following steps:

1. Open the dataset that you want to split into a training set and a test set.

2. In the dataset, locate the first row of the test data, which in this case is row 501.

3. Click on the cell containing the row number to select the entire row.

4. Right-click on the selected row and choose "Insert Rows Above."

5. Repeat step 4 until you have inserted 500 rows.

6. Select rows 1-500 and right-click on the selection.

7. Choose "Copy" from the context menu.

8. Select the first cell of the new rows that you have inserted for the test data, which in this case is cell A1 of row 501.

9. Right-click on the selected cell and choose "Paste" from the context menu.

10. Rows 1-500 are now the training data, and rows 501-777 are the test data.

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Related Questions

you flip a coin 10 times in a row. every single time it comes up heads. on the 11th flip, is it more likely to be heads, tails, or are heads and tails equally likely

Answers

Answer:

1/2

Step-by-step explanation:

It will be either heads of tails equally likely.

It’s still 1/2. Flipping a coin is an independent event. In other words, the outcome of the next flip is uninfluenced by what has happened previously. It’s as if it were the first time you ever flipped the coin. The probability is unaltered.

WHOEVER CAN DO THIS CORRECTLY ILL LOVE U FOREVER!!

compare each pair of grocery items and work out which option is the better value for money.

a) 5kg of potatoes for $4.95 or 7.5kg for $7.15

b) a packet of four batteries for $3.88 or a packet of ten for $9.89

c) a 500 g tin of coffee for $9 or a 150 g had for $2.99

Answers

Answer:

Step-by-step explanation:

i just know :)

The amount of undeveloped land in a suburban community has been decreasing by one-eighth each year since 2002. In 2002, there were 30 acres of undeveloped land

find the solution showing the number of years, t, it took for the amount of undeveloped land to be approximately 15.39 acres.

Answers

It took approximately 5.3 years for the amount of undeveloped land to decrease to approximately 15.39 acres, starting from 30 acres in 2002.

Let L(t) be the amount of undeveloped land in acres at time t, where t is measured in years since 2002. Then, we can write:

L(t) = 30 * (7/8)^t

We know that the amount of undeveloped land we are interested in is approximately 15.39 acres. Therefore, we can set up the following equation:

15.39 = 30 * (7/8)^t

To solve for t, we can first divide both sides by 30:

0.513 = (7/8)^t

Next, we can take the natural logarithm of both sides:

ln(0.513) = ln[(7/8)^t]

ln(0.513) = t * ln(7/8)

t = ln(0.513) / ln(7/8)

t ≈ 5.3

Therefore, it took approximately 5.3 years for the amount of undeveloped land to decrease to approximately 15.39 acres, starting from 30 acres in 2002.

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You buy a meal for 20$. You gave a 15% tip and paid 2% before the tip. What is the total for the bill?

Answers

Answer:23.4$

Step-by-step explanation:

answer to one out of every seven mathematicians is a philosopher, and one out of every nine philosophers is a mathematician. are there more philosophers or mathematicians?

Answers

Based on the information that has been provided, it is not possible to conclude whether there are a greater number of philosophers or mathematicians.

The statement only provides information regarding the proportion of mathematicians to philosophers and vice versa; it does not provide information regarding the total number of people working in either subject. It is possible that there are a greater number of philosophers, a greater number of mathematicians, or an equal number of both. We would need further information, such as the overall number of people in the fields, in order to accurately establish the number of persons who are present in each field specifically.

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Help ASAP!!!! Please someone help me

Answers

Answer:

1 9/8

Step-by-step explanation:

Its a lot of explaining lol

the dial on a combination lock contains markings which represent the numbers from 0 to 39. how many 3- number combinations are possible if the first and the second must be different odd numbers, while the third number must not be an odd number?

Answers

The dial for the standard combination lock is fastened to a spindle. The spindle travels through many wheels and a drive cam inside the lock. Every number has one wheel, hence the number of wheels in a wheel pack depends on how many numbers are in the combination.

The lock uses the numbers 0 to 39 and has 64,000 distinct combinations.

How many possible three-number combinations are there?

You have 10 options for the first digit, 9 options for the second digit, and 8 options for the third digit, giving you 10x9x8 = 720 if you want all three possible numbers with no duplication of the digits.

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What is g(x)?
A. g(x) = -2
B. g(x) = -x
C. g(x) = -|x|
D. g(x) = -x^2

Answers

Answer:

A. g(x) = -2^x.

Step-by-step explanation:

If g(x) = -2, it would be a straight line running horizontally.

If g(x) = -x, it would be a linear equation.

If g(x) = -|x|, it would be an absolute value function, which is a graph in a v-shape.

So, the remaining answer is that A. g(x) = -2^x.

Hope this helps!

Its A, $-2^x$.

For inputs x you can find corresponding y-values on the graph of function:

$x=1\implies y=-2^1=-2$

$x=2\implies y=-2^2=-4$

$x=3\implies y=-2^3=-8$

Hope this helps.

!!PLS HELP ASAP!!30 POINTS!!
Divide using synthetic division
$x^4-3x^3-7x+1$÷$x+2$

Answers

The quotient and remainder are x³ -5x² + 10x - 17 and 55.

What is Synthetic division?

When the divisor is a linear factor, synthetic division is a technique used to carry out the division operation on polynomials.

Here, (x+2) is a linear factor which indicates that synthetic division can be applied.

So, we will divide the x^4 - 3x^3 - 7x + 1 by x+2.

(refer the attached solution)

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!!PLS HELP ASAP!!30 POINTS!!Divide using synthetic division[tex]x^4-3x^3-7x+1[/tex][tex]x+2[/tex]

In the figure below, m1=2x° and m/2 = (x+87)°.
Find the angle measures.
1
2
m 21 =
m 22 = °

Answers

Answer:

∠ 1 = 62° , ∠ 2 = 118°

Step-by-step explanation:

the angles are a linear pair and sum to 180° , so

2x + x + 87 = 180

3x + 87 = 180 ( subtract 87 from both sides )

3x = 93 ( divide both sides by 3 )

x = 31

then

∠ 1 = 2x = 2 × 31 = 62°

∠ 2 = x + 87 = 31 + 87 = 118°

what pattern would you not likely observe on a graph if you conduct a two-factor anova and there is a statistically significant interaction effect?

Answers

If there is a statistically significant interaction effect, we would not expect to see a pattern of parallel lines on a graph that plots the means of the dependent variable for each level of the two factors anova.

If there is a statistically significant interaction effect in a two-factor ANOVA, it means that the effect of one independent variable (factor) on the dependent variable depends on the level of the other independent variable. In other words, the effect of one factor on the dependent variable varies across the levels of the other factor.

If there is no interaction effect, the lines would be parallel and have the same slope. But if there is an interaction effect, the lines would cross or have different slopes, indicating that the effect of one factor on the dependent variable depends on the level of the other factor.

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Hannah makes and sells bags. It used to be that she could only make 4 bags in one day then she got a new sewing machine. Then she got a new sewing machine. Now she can make 7 bags in one day. What it the percent increase in the number of bags she can make

Answers

Answer: 75%

Step by step explanation: increase =7-4=3
% increase=3/4 multiple 1000= 75

what is the arc measure? what is the arc length?

Answers

Answer:

do pi times diameter divided 8 and you'll get your answer :)

Step-by-step explanation:

so do 3.14 times 26.4 divided 8

Do the pie times 26.4 divided by 8

Question 1
The circle graph describes the distribution of preferred transportation methods from a sample of 400 randomly selected San Francisco residents

circle graph titled San Francisco Residents' Transportation with five sections labeled walk 40 percent, bicycle 8 percent, streetcar 15 percent, bus 10 percent, and cable car 27 percent
Which of the following conclusions can we draw from the circle graph?

Together, Streetcar and Cable Car are the preferred transportation for 168 residents.
Together, Walk and Streetcar are the preferred transportation for 55 residents.
Bus is the preferred transportation for 45 residents.
Bicycle is the preferred transportation for 50 residents.

Question 2
The box plot represents the number of tickets sold for a school dance.

A horizontal line labeled Number of Tickets sold that starts at 8, with tick marks every one unit up to 30. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 10 and 27.

Which of the following is the appropriate measure of center for the data, and what is its value?
The mean is the best measure of center, and it equals 19.
The median is the best measure of center, and it equals 4.
The median is the best measure of center, and it equals 19.
The mean is the best measure of center, and it equals 4.

Question 3
The histograms display the frequency of temperatures in two different locations in a 30-day period.

A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.

A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 16. A shaded bar stops at 2 above 60 to 69, at 4 above 70 to 79, at 12 above 80 to 89, at 6 above 90 to 99, at 4 above 100 to 109, and at 2 above 110 to 119. The graph is titled Temps in Desert Landing.
When comparing the data, which measure of center should be used to determine which location typically has the cooler temp

Median, because Desert Landing is symmetric
Mean, because Sunny Town is skewed
Mean, because Desert Landing is symmetric
Median, because Sunny Town is skewed

Question 4
A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.

10, 11, 35, 39, 40, 42, 42, 45, 49, 49, 51, 51, 52, 53, 53, 54, 56, 59

A graph titled Donations to Charity in Dollars. The x-axis is labeled 10 to 19, 20 to 29, 30 to 39, 40 to 49, and 50 to 59. The y-axis is labeled Frequency. There is a shaded bar up to 2 above 10 to 19, up to 2 above 30 to 39, up to 6 above 40 to 49, and up to 8 above 50 to 59. There is no shaded bar above 20 to 29.

Which measure of variability should the charity use to accurately represent the data?
The range of 13 is the most accurate to use, since the data is skewed.
The IQR of 49 is the most accurate to use to show that they need more money.
The range of 49 is the most accurate to use to show that they have plenty of money.
The IQR of 13 is the most accurate to use, since the data is skewed.

Question 5

A recent conference had 900 people in attendance. In one exhibit room of 80 people, there were 65 teachers and 15 principals. What prediction can you make about the number of principals in attendance at the conference?
There were about 820 principals in attendance.
There were about 731 principals in attendance.
There were about 208 principals in attendance.
There were about 169 principals in attendance.

Question 6

A teacher was interested in the subject that students preferred in a particular school. He gathered data from a random sample of 100 students in the school and wanted to create an appropriate graphical representation for the data.
Which graphical representation would be best for his data?

Stem-and-leaf plot
Histogram
Circle graph
Box plot

Answers

2. The median is the best measure of center, and it equals 19.

3. Median, because Sunny Town is skewed.

4. The IQR of 13 is the most accurate to use, since the data is skewed.

5. There were about 169 principals in attendance.

6. Circle graph.

How to solve

When comparing the histograms, Sunny Town has a left-skewed distribution, while Desert Landing is more symmetric.

The median is a better measure of center for skewed data, so the median should be used to compare the two locations for cooler temperatures.

To calculate the IQR, first, we need to find the first quartile (Q1) and the third quartile (Q3).

Sorted data: 10, 11, 35, 39, 40, 42, 42, 45, 49, 49, 51, 51, 52, 53, 53, 54, 56, 59

The middle value between the minimum and the median is Q1, and the middle value between the median and the maximum is Q3.

Q1 = 39

Q3 = 52

IQR = Q3 - Q1 = 52 - 39 = 13

The data in the histogram is skewed, so the IQR is a more accurate measure of variability than the range.

In the exhibit room, the ratio of teachers to principals is 65:15.

To estimate the total number of principals at the conference, we can assume the same ratio holds for the entire attendance of 900 people.

Total teachers + principals = 65 + 15 = 80

Proportion of principals = 15 / 80 = 0.1875

Estimated number of principals at the conference = 900 * 0.1875 = 168.75

Since there cannot be a fraction of a person, we round up to 169 principals.

The teacher is analyzing categorical data (subjects preferred by students), so a circle graph (also known as a pie chart) would be the best graphical representation to show the proportions of each subject preferred by the students.

Histograms, stem-and-leaf plots, and box plots are more suitable for continuous data or numerical data.

Answers

Step-by-step explanation:

To find probability ratio wise

Sports Cars: Total Cars

3 + 3 + 2 = 8 total cars

2 sports cars

Ratio is 2:8

Reduces to 1:4

Question 9 of 10
In the diagram below, AB and BC are tangent to O. What is the measure of
AC?
B
68
'0
10
248
A. 68°
OB. 90°
O C. 112°
OD. 136°

Answers

The measure of AC is 112° (option c).

1. We are given a diagram with a circle O and two tangents, AB and BC, intersecting at point B.

2. According to the properties of tangents, when a tangent line intersects a radius, it forms a right angle.

3. Therefore, angle AOB is a right angle because AB is tangent to circle O.

4. Similarly, angle BOC is also a right angle because BC is tangent to circle O.

5. Since the sum of angles in a triangle is 180°, we can find angle ABC by subtracting the measures of angles AOB and BOC from 180°.

- Angle ABC = 180° - (90° + 90°) = 180° - 180° = 0°

6. However, an angle of 0° is not possible in a triangle, so we need to consider the exterior angle at point B, angle ACD.

7. The measure of the exterior angle is equal to the sum of the measures of the two interior angles of the triangle that it is outside.

- Angle ACD = angle ABC + angle BAC = 0° + 68° = 68°

8. Finally, the measure of AC is the supplement of angle ACD, as it is the adjacent interior angle.

- Measure of AC = 180° - 68° = 112°.

Therefore, the measure of AC is 112°.

Thus, the correct option is c.

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Please help! Algebra 1.

Answers

Answer:

The correct answer is B.

Step-by-step explanation:The entrance fee ($18) and the cost per ball ($0.08B) added together should equal greater or equal to $75 in order to receive $10 off.

a population of N= 7 scores has a mean of μ = 10. if one score with a value of X= 4 is removed from the population, what is the value for the new mean? a. 70/6 b. 66/6=11 c. 66/7 d. it cannot be determined from the information given.

Answers

The value for the new mean, after removing a score with a value of X = 4 from the population, is c. 66/7.

What is the value for the new mean after removing a score of 4 from the population?

To calculate the new mean, we need to subtract the score that is removed from the original sum of scores and then divide by the new number of scores.

Given that the population originally has N = 7 scores with a mean of μ = 10, the sum of the scores is N * μ = 7 * 10 = 70.

When the score of 4 is removed, the sum of the remaining scores becomes 70 - 4 = 66. The new number of scores is N - 1 = 7 - 1 = 6.

Therefore, the new mean is 66/6 = 11.

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Professor Zsolt Ugray lives in Boston and is planning his retirement. He plans to move to Florida and wants to buy a boat. The boat he is buying is a "2007 Sea Ray 340 Sundancer" (see image).
Using your Excel skills and understanding of financial functions, you're helping Prof. Ugray assess the impact of this loan on his finances. To buy this boat, Prof. Ugray will get a large Loan ($150,000) and pay $1,770 monthly during 10 years.
Calculate below:
- The monthly rate for this loan
- The annual rate for this loan
- The effective annual rate for this loan
- Total Amount Paid After 10 Years
- The Future value for this loan.

Answers

The monthly rate for the given loan is 1.0118%.The annual rate for this loan is 12.1423%.

Given loan: $150,000

Payment per month: $1,770

Duration of loan: 10 years

Interest = ?

The formula for monthly payment is given by:

$PV = pmt x (1 - (1 + r)^-n) / r$

Where, PV is the present value, pmt is the payment per period, r is the interest rate per period and n is the total number of periods.Solving the above formula for r will give us the monthly rate for the loan.

r = 1.0118%The monthly rate for the given loan is 1.0118%.The annual rate can be calculated using the following formula:

Annual rate = $(1 + Monthly rate)^12 - 1$

Annual rate = 12.1423%

The annual rate for this loan is 12.1423%.The effective annual rate can be calculated using the following formula:

Effective annual rate =$(1 + r/n)^n - 1$

Where, r is the annual interest rate and n is the number of times interest is compounded per year.If interest is compounded monthly, then n = 12

Effective annual rate = (1 + 1.0118%/12)^12 - 1

Effective annual rate = 12.6801%

The effective annual rate for this loan is 12.6801%.

Total amount paid after 10 years = Monthly payment x Number of payments

Total amount paid after 10 years = $1,770 x 120

Total amount paid after 10 years = $212,400

The total amount paid after 10 years is $212,400.

The future value for this loan can be calculated using the following formula:

FV = PV x (1 + r)^n

Where, PV is the present value, r is the interest rate per period and n is the total number of periods.If the loan is paid off in 10 years, then n = 120 (12 payments per year x 10 years)

FV = $150,000 x (1 + 1.0118%)^120

FV = $259,554.50

The future value for this loan is $259,554.50.

Thus, the monthly rate for the loan is 1.0118%, the annual rate for this loan is 12.1423%, the effective annual rate for this loan is 12.6801%, the total amount paid after 10 years is $212,400 and the future value for this loan is $259,554.50.

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let r be a partial order on set s, and t ⊆ s. suppose that a,a′ ∈ t, where a is greatest and a′ is maximal. prove that a = a′

Answers

Let r be a partial order on set S, and let t be a subset of S. If a and a' are both elements of t, where a is the greatest element and a' is a maximal element, then it can be proven that a = a'.

To prove that a = a', we consider the definitions of greatest and maximal elements. The greatest element in a set is an element that is greater than or equal to all other elements in that set. A maximal element, on the other hand, is an element that is not smaller than any other element in the set, but there may exist other elements that are incomparable to it.

Given that a is the greatest element in t and a' is a maximal element in t, we can conclude that a' is not smaller than any other element in t. Since a is the greatest element, it is greater than or equal to all elements in t, including a'. Therefore, a is not smaller than a'.

Now, to prove that a' is not greater than a, suppose by contradiction that a' is greater than a. Since a' is not smaller than any other element in t, this would imply that a is smaller than a'. However, since a is the greatest element in t, it cannot be smaller than any other element, including a'. This contradicts our assumption that a' is greater than a.

Hence, we have shown that a is not smaller than a' and a' is not greater than a, which implies that a = a'. Therefore, if a is the greatest element and a' is a maximal element in t, then a = a'.

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find an upper bound on the error that can result if cos(x) is approximated by 1−(x2/2!) (x4/4!) over the interval [−0.7,0.7].

Answers

An upper bound on the error that can result from approximating cos(x) by 1−(x^2/2!) + (x^4/4!) over the interval [-0.7, 0.7] is 0.00567.

The Taylor series expansion for cos(x) is given by cos(x) = 1 - (x^2/2!) + (x^4/4!) - (x^6/6!) + ... . The approximation 1−(x^2/2!) + (x^4/4!) is a truncated version of this series. The error between the actual value of cos(x) and the approximation can be estimated using the Lagrange form of the remainder term, which gives an upper bound on the error.

In this case, the Lagrange remainder term is given by Rn(x) = (f^(n+1)(c)/n+1!) * (x-x0)^(n+1), where f^(n+1)(c) is the (n+1)th derivative of cos(x) evaluated at some point c in the interval [-0.7, 0.7].

The maximum value of Rn(x) over the interval [-0.7, 0.7] occurs when x = ±0.7, and the upper bound on the error is found by evaluating Rn(±0.7).

The resulting upper bound is approximately 0.00567.

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is a normal distribution with a mean equal to 0 and a standard deviation equal to 1; it is denoted as n(0,1).

Answers

Yes, this is true.

A normal distribution with a mean of 0 and a standard deviation of 1 is often denoted as N(0, 1) or n(0, 1). This distribution is also known as the standard normal distribution. It is a symmetric bell-shaped distribution where the majority of the data falls within approximately three standard deviations from the mean.

The standard normal distribution, denoted as N(0, 1) or n(0, 1), is a specific type of normal distribution that has a mean of 0 and a standard deviation of 1. It is often used as a benchmark for comparing and standardizing data in statistical analysis.

The shape of the standard normal distribution is symmetric and bell-shaped. It follows the familiar "bell curve" pattern, where the data is concentrated around the mean and gradually tails off towards the extremes. The total area under the curve is equal to 1, representing the entire probability space.

The standard deviation of 1 indicates the spread or variability of the data. In a standard normal distribution, about 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and roughly 99.7% falls within three standard deviations.

The standard normal distribution is widely used in statistical calculations and hypothesis testing. It serves as a reference distribution for many statistical methods, such as z-tests and z-scores. By converting data from other normal distributions into standard units using z-scores, researchers can compare and analyze data from different distributions on a common scale.

The standard normal distribution also has specific properties that make it mathematically tractable. The cumulative distribution function (CDF) of the standard normal distribution, often denoted as Φ(z), gives the probability that a standard normal random variable is less than or equal to a given value z. This CDF is tabulated in standard statistical tables or can be calculated using mathematical functions.

Overall, the standard normal distribution is a fundamental concept in statistics, providing a reference distribution for comparing and analyzing data and serving as a basis for many statistical techniques and calculations.

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please help me i really need it

Answers

The simplified expression, given the rule for exponentiation of powers, is 1, 024 x ³⁰.

How to simplify the expression ?

To simplify the expression ((2x³) ⁵ ) ², we need to apply the rule for exponentiation of powers which states " When an expression is raised to a power, and that result is raised to another power, we can simplify by multiplying the exponents."

Using this rule, we can simplify the expression as follows:

( ( 2 x ³ ) ⁵ ) ² = (2 ⁵ x (3 x 5) ) ^ 2

= ( 32 x ¹⁵ ) ²

= 1, 024 x ³⁰

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HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

See the attached histogram.

Step-by-step explanation:

4 A home-decorating company is determining the amount of fabric required for a customer's window treatments. A single window requires 13 yards and a double 7 window requires 16, yards of fabric. If there are two single windows and one double window, how much fabric is required?

Answers

The solution will be that the home-decorating company will require 42 yards of fabric for the customer's window treatments.

As per the information we have received from the question,

A single window requires 13 yards and a double window requires 16 yards of fabric. We are asked to find out the length of fabric that will be required by the home-decorating company, in case there were 2 single windows and 1 double window. The total amount of fabric that will be required by the home-decorating company is hence equal to

13×(no of single windows)+ 16×(no of double windows)

Here, no of single windows= 2

And, no of double window= 1

Hence, total fabric length=13×2 + 16×1=26 + 16=42 yards

Hence the solution is 42 yards of fabric.

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what is $20.00 take away $4.60

Answers

$20.00 take away $4.60 is equal to $15.40.

The Kennedy high school cross country running team ran the following distances in recent practices 3.5, miles 2.5, miles 4 miles 3.25 miles, 3 miles, 4 miles and 6 miles find the mean and median of the team's distances

Answers

The result is the mean of 3.9 miles and median of the team's distances is 3.5 miles.

What is mean and median?

Mean and median are two ways to measure the center of a set of numbers. Mean is the average of all the numbers in the set, while median is the middle number in the set. Mean is more affected by extreme values, while median is not. Mean is generally used when data is normal, and median when data is skewed.

Mean and median are both measures of central tendency, or measures of the center of a data set. Both measures are used to summarize a data set, but the mean is more affected by outliers, or extreme values, while the median is not.

The mean of the team's distances is 3.9 miles, and the median is 3.5 miles. To calculate the mean, add all the distances together (3.5 + 2.5 + 4 + 3.25 + 3 + 4 + 6) and divide by the number of distances (7). The result is the mean of 3.9 miles. To calculate the median, first order the distances from least to greatest (2.5, 3, 3.25, 3.5, 4, 4, 6) and take the middle number (3.5). The median of the team's distances is 3.5 miles.

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Find the value of the variable(s). If your answer
is not an integer, leave it in simplest radical
form.
12.
x
30°
285
Not drawn to scale
a. x = 14, y = 42-43
b. x= 14 /3, y = 42
= 42-/3, v= 14
d x=42, y = 14 /3