What is the equation of the least squares regression line for the data set?

What Is The Equation Of The Least Squares Regression Line For The Data Set?

Answers

Answer 1

The equation of the least squares regression line for the data set is (b) ŷ = -2.984x + 112.38

How to determine the equation of the least squares regression line for the data set

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

Volunteer 15 11 22 35 18 41 27 18

Trees 77 99 4 11 44 14 2 90

Using a graphing calculator, we have the following calculation summary

Sum of X = 187Sum of Y = 341Mean X = 23.375Mean Y = 42.625Sum of squares (SSX) = 741.875Sum of products (SP) = -2213.875

The regression equation is represented as

ŷ = bX + a

Where

b = SP/SSX = -2213.88/741.88 = -2.98416

a = MY - bMX = 42.63 - (-2.98*23.38) = 112.37978

So, we have

ŷ = -2.98416X + 112.37978

Approximate

ŷ = -2.984x + 112.38

Hence, the equation  is ŷ = -2.984x + 112.38

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Related Questions

evaluate 7 to the 3rd power x 7 to the 3rd power

Answers

Answer:117649

Step-by-step explanation:

if the parent function is y=3×,which is the dunction of the graph?​

Answers

On solving the provided question, we can say  that -  the linear equations, is [tex]x =10 / 5 = 2 = > x=2[/tex]

What is a linear equation?

The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

Here,

to solve the system of equations given. .

[tex]2x + y = 4 \\+\\3x - y = 6\\= > 5x =10[/tex]

system of equations  2x + y = 4  ,

6=3x-y is 5x =10

The value of x :

[tex]x =10 / 5 = 2\\ x=2[/tex]

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Please help will mark Brainly

Answers

"Mark as brainiest". Click on the option to mark it the best answer.

how to help mark Brainly?

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3
Use the drawing tool(s) to form the correct answer on the provided graph.
The function f(x) is shown on the provided graph.
Graph the result of the following transformation on f(x).
Drawing Tools
Select
Line
Click on a tool to begin drawing
-10
-8
f(z) + 6
-6
4
-2
10-
8-
6
Delete
Undo
Reset
10

Answers

-1 on the left x-axis and 4 on the right y-axis.

Start at -2 on the y-axis, move up the y-axis six times, and you should arrive at 4. However, you must identify the first line in order to complete the puzzle.

Start at -2 on the y-axis, count up until it is on a corner of the graph, then move 4 up on the y-axis and once to the right, making the fraction 4/1.

Since you should be at 4, apply the formula rise/run 4/1 to ascend 6 on the y-axis.

step 1: ascend the y-axis six times.

Step 2: Use 4/1 to increase from the y-4 axis's by 1  to the right

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To make an apron, Jaylen’s mother bought 3.9 yards of cloth. If a yard of cloth costs $9.50, how much did Jaylen’s mother spend?

Answers

Answer:

She spent 37.05

Step-by-step explanation:

multiply both values

F(x)=2 sin (1/2x)+1
What is the midline of the function

Answers

Answer:

Step-by-step explanation:

Its A

tinkerbell is gathering data on the number of girls and boys that go on a particular ride at disneyland one morning she observes that 300 girls go on the ride and 500 boys go on the ride this represents the ratio of girls and boys that go on the ride complete the table below to show this relationship explain or show how you completed the table


Girls Boys Total

blank blank 8

6 blank blank

blank 20 blank

30 blank blank

300 500 800

blank 800 blank

Answers

The complete table is given in the solution.

What is ratio?

A ratio is a way to show a relationship or compare two numbers of the same kind. We use ratios to compare things of the same type.

Given that, at Disneyland there are 300 girls go on the ride and 500 boys go on the ride this represents the ratio of girls and boys that go on the ride

The ratio of girls to boys = 3:5

Therefore, The complete table is as follows:-

    Girls                                     Boys                                     Total

     3                                             5                                             8

     6                                             10                                           16

     12                                            20                                          32

     30                                           50                                          80

     300                                         500                                      800

     480                                         800                                      1280

Hence, the complete table is above

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Person A baked 4 1/2 Dozens of cookies for a bake sale.
Person B Baked 1 1/2 as many as Person A
Person C Baked 2 1/3 as many as Person B

How many cookies did each person bake? How many did they bake altogether?
Please also tell me how you got the answer, thanks.
This question is related to Fractions.

Answers

The cookies that each person bake will be:

A = 4 1/2 dozen cookies

B = 6 3/4 dozen cookies

C = 15 3/4 dozen cookies.

How to illustrate the fraction?

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.

Person A baked 4 1/2 Dozens of cookies for a bake sale. Person B Baked 1 1/2 as many as Person A. This will be:

= 1 1/2 × 4 1/2

= 6 3/4

Person C Baked 2 1/3 as many as Person B. This will be:

= 2 1/3 × 6 3/4

= 7/3 × 27/4

= 15 3/4

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Which is the graph of the equation y-1=(x-3)?
O
(-31).
10
CO
8
fi
Q
4.
y

Answers

Answer:

The graph of the equation "y - 1 = (x - 3)" is a straight line.

To graph this equation, we can start by rearranging the equation to get "y = x - 3 + 1". This simplifies to "y = x - 2".

This equation is in slope-intercept form, which means that the slope of the line is given by the coefficient of the x term, and the y-intercept (the point where the line crosses the y-axis) is given by the constant term. In this case, the slope is 1 and the y-intercept is (-2, 0).

To graph the line, we can start by plotting the y-intercept at the point (0, -2). Then, we can use the slope of 1 to find a second point on the line and draw a straight line through these two points. The graph of the equation "y = x - 2" is shown below:

[asy]

unitsize(1.5cm);

draw((-1.5,0)--(1.5,0));

draw((0,-2.5)--(0,2.5));

draw((-1.5,-2)--(1.5,2),dashed);

label("$x$", (1.5,0), E);

label("$y$", (0,2.5), N);

[/asy]

The graph of the equation "y - 1 = (x - 3)" is the same as the graph of the equation "y = x - 2", except that all the y-values on the graph are increased by 1. This means that the graph of the equation "y - 1 = (x - 3)" is obtained by shifting the graph of "y = x - 2" upward by 1 unit. The graph of the equation "y - 1 = (x - 3)" is shown below:

[asy]

unitsize(1.5cm);

draw((-1.5,0)--(1.5,0));

draw((0,-2.5)--(0,2.5));

draw((-1.5,-1)--(1.5,3),dashed);

label("$x$", (1.5,0), E);

label("$y$", (0,2.5), N);

[/asy]

The answer choices given in the question do not match the description of the graph of the equation "y - 1 = (x - 3)". "O" does not match the description of the graph, as it is not a graph of a straight line. "(-31)" and "10" do not match the description of the graph, as they are not graphs at all. "CO" does not match the description of the graph, as it is the graph of a circle, not a straight line. "8" does not match the description of the graph, as it is the graph of an exponential function, not a straight line. "fi" does not match the description of the graph, as it is not a graph of a function. "Q" does not match the description of the graph, as it is not a graph at all. "4." does not match the description of the graph, as it is not a graph of a function. "y" does not match the description of the graph, as it is not a graph at all.

Models come in different scales. A model of a G-scale railroad car has a scale ratio of 1:22.5, and the model is 3 in tall, how tall is the actual car?

Please help me answer this, this is due on Monday for me!!!

Answers

The actual car is 66.75 inches tall. The scale ratio of 22.5 means that for every 1 inch of the model, the actual car is 22.5 inches. Therefore, 3 inches of the model is equal to 66.75 inches of the actual car.

Hope this helps!

Answer the problem in the photo below! Please answer simply:)

Answers

Answer:

32

Step-by-step explanation:

Let's start with x to the third power. x=4 So that would be 4 to the third power. that would be 4x4=16.  16x4=64. So that would be 1/2*64. That equals 32

Which of the following shows the prime factorization of using exponential notation?




Which of the following shows the prime factorization of using exponential notation?









Which of the following shows the prime factorization of using exponential notation?



Which of the following shows the prime factorization of using exponential notation?









Which of the following shows the prime factorization of using exponential notation?








how do i simplify 12 /16 to the lowest terms and find equivalent fraction that has a denominator of 32

Answers

The prime factorization of 72 using exponential notation is 2³ x 3².

What is Prime Factorization?

Prime factorization is a process of writing all numbers as a product of primes.

Given:

Prime factorization is representing a number in form of products of its primes.

Consider the given number 72

72 = 2 x 2 x 2 x 3 x 3

So, 72 can be written as 2 × 2 x 2 × 3 × 3.

                                     

Thus, exponential notation it can be written as 2³ x 3².

Also, Simplifying 12 /16 as

= 12/16

= 3/4

and, the equivalent fraction whose denominator is 32.

Then, 3/4 = x/32

4x = 96

x = 24

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The sum of the age of a girl and her brother is 34. The girl is 8 years older than her heather, how old is her brother​

Answers

Answer:

26

Step-by-step explanation:

if she is 8 years older, then is just 34-8 which is 26

Factor the expression using the GCF.
50+65h=

Answers

Greatest common factor (GCF) of 50 and 65 is 5.

How to find the GCF of 50 and 65?

We will first find the prime factorization of 50 and 65. After we will calculate the factors of 50 and 65 and find the biggest common factor number .

Step-1: Prime Factorization of 50

Prime factors of 50 are 2, 5. Prime factorization of 50 in exponential form is:

50 = 21 × 52

Step-2: Prime Factorization of 65

Prime factors of 65 are 5, 13. Prime factorization of 65 in exponential form is:

65 = 51 × 131

Step-3: Factors of 50

1, 2, 5, 10, 25

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50 and 65. The biggest common factor number is the GCF number.

So the greatest common factor 50 and 65 is 5.

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Find the product.
(6a² + 4b) (a²- b)

Answers

On solving the provide question, we can say that - the quadratic equation [tex](6a^2 + 4b)(a^2 - b)[/tex] = -4

What is quadratic equation?

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

here, we have

[tex](6a^2 + 4b)(a^2 - b)[/tex]

a = 0 and b = 1

-4

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Someone pls help!!


Construct a circle through points
X, Y, and Z.

Answers

Answer:

Here is an example. Check out the uploaded image.

Step-by-step explanation:

Draw Points   XY  using a Straight Line

Draw a bisector in the middle of the line

Repeat Procedure for lines XZ  and YZ

Where the two lines meet is the Center

Extend the compass from the center to any point and complete the circle.

Use Vocabulary to Describe a Graph
What is the domain of the relation?
✓ -4
5x56
COMPLETE
What is the range of the relation?
-4 ≤ys
DONE ✔
-4
+y
4
2
-2
-4
X

Answers

For the given graph, the domain and range of the relation equals [-4, 6].

What in mathematics is a relation?

A collection of ordered pairs having one item from each set makes up a relation between two sets. If the ordered pair (x,y) is present in the relation and the objects x and y come from different sets, then the objects are said to be connected. One kind of relation is a function.

In other words, the ordered pair collection, where the ordered pair is made up of an object from each set, is used to define the relationship between the two sets. As an illustration, consider the set notation symbols (-2, 1), (4, 3), and (7, -3) with curly brackets.

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Solve the following equation for aa. Be sure to take into account whether a letter is capitalized or not.
2n= a(d+g)

Answers

The solution to the equation is given as [tex]a = \frac{2n}{(d + g)}[/tex]

How to solve for a in the equation

The equation is given as 2n= a(d+g), we are to make a the subject of the equation

in order to have a stand on its own we would have to divide the two sides of the equation by d + g

hence we would have:

[tex]\frac{2n}{(d + g)} =\frac{a(d+g)}{(d+g)}[/tex]

this would cancel out on the right hand side such that we would have:

[tex]\frac{2n}{(d + g)} =a[/tex]

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What does 69 divided by 310.5 equal in decimal form?

Answers

The answer would be 0.22222222
You need to take 69 and divide it by 310.5 and you will get your answer.

Use the defined variables for the verbal model to write an equation in slope-intercept form that relates the variables.
$2/pound × Pounds of peaches + $1.50/pound × pounds of apples = $15
Let x represent the number of pound of peaches.
Let y represent the number of pounds of apples.
An equation is y = ___
Graph the equation.

Answers

An equation is y = -4x/3 + 10.

A graph of the equation is shown in the image attached below.

How to write an equation to model this situation?

In order to write and graphically solve an equation that model this situation, we would assign variables to the number of pound of peaches and number of pounds of apples respectively, and then translate the word problem into algebraic equation as follows:

Let the variable x represent the number of pound of peaches.Let the variable y represent the number of pounds of apples.

Next, we would translate the word problem into an algebraic equation as follows;

$2/pound × Pounds of peaches = 2x.

$1.50/pound × pounds of apples = 1.50y

Combining the two expressions above, we have the following:

2x + 1.50y = 15

Making y the subject of formula, we have:

1.50y = 15 - 2x

y = (15 - 2x)/1.50

y = -4x/3 + 10

Therefore, an equation in slope-intercept form that relates the variables is y = -4x/3 + 10.

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The cost c in pounds of hiring a van for d days is given by the formula c=10+45d work out the cost for 5 day

Answers

cost for five days = 235
5 x 45 = 225
225 + 10 = 235!!!

The cost c in pounds of hiring a van is 235

The cost c in pounds for 1 day =45

Then cost c in pounds for  five days is c=10+45d

Which is multiple 5 days to the 45

5 x 45 = 225

Add the 10 to the answer

225 + 10 = 235

The cost  of a van hiring for number of days is 5

Then the final answer for cost c in pounds of hiring a van for five days are 235

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38) Your bank account has$82in it when you write checks for$54,$35, and$15. You then deposit $35and $42. How much is in the account? Are you overdrawn

the answer is 55 can you show me how to get that answer.

Answers

If you have $82 in your bank account and you write checks for $54, $35, and $15, then the total amount you have written in checks is $54 + $35 + $15 = $104.

So the remaining balance is $82 - $104 = -$22, which means you are now overdrawn.

After you deposit $35 and $42, the new balance will be $82 - $22 + $35 + $42 = $155

So after the deposit, the account balance is $155

It is important to keep track of your bank account balance, if you do not have enough funds in the account and the check you wrote is cashed the bank will bounce the check and incur additional fees.

55 i got that because i submit and attract

please help me with this

Answers

Answer: 630

Step-by-step explanation:

Evaluate 9du when d=10 and u=7

⇒9du

input the values of d and u

⇒9 (10)(7)

⇒9 × 10 × 7

⇒630 answer.

hope that helps...

Answer:

630

Step-by-step explanation:

as the problem shows that the variable for d = 10, and u = 7.

it asked to solve 9du (or 9 × d × u )

we can plug in the numbers into the variables:

9 × 10 × 7

9 × 10 = 90 × 7 = 630

A family is canoeing downstream (with the current). Their speed relative to the banks of the river averages 2.75 mi/h. During the return trip, they paddle upstream (against the current), averaging 1.5 mi/h relative to the riverbank. Write and solve a system of equations to find the family’s paddling speed in still water. Let s equal the families paddling speed and c represent the current
a.
s + c = 2.75
s - c = 1.5
2.125 mi/h
c.
s + c = 2.75
c - s = 1.5
.60 mi/h
b.
2.75s = c
1.5s = c
1.725 mi/h
d.
2.75c = s
1.5c = s
30 mi/h

Answers

On solving the provided question, we can say that In still water, a family must paddle at a speed of 2.125 miles per hour.

What is speed?

Speed is the amount of distance traveled by an object in one unit of time when it is in motion.

Given that, a family is paddling a boat (with the current). Their average speed in relation to the riverbanks is 2.75 miles per hour. On the way back, they paddle upstream (against the current), moving toward the riverbank at an average speed of 1.5 miles per hour.

Here, Let the family's speed on still water be x and the current's speed be y. Upstream speed is calculated using the formula 1.5 = x - y - - - - (1)

2.75 downstream speed = x + y - - - - (1)

Equations 1 and 2 are solved as follows: 2x = 4.25 and x = 2.125 miles per hour In still water, a family must paddle at a speed of 2.125 miles per hour.

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there are no good answers on brainily can someone pls answer this

Answers

Answer:

D

Step-by-step explanation:

first simplify everything

2/9v + 1/3v - 5/9

A and B is wrong because it is - 5/9 not + 5/9

C is wrong because it is -1/3v not 1/3, it is supposed to be - 5/9

You can solve this problem without much solving


hope this helps :)

Show 24÷1/4 step by step

Answers

Answer:

96

Step-by-step explanation:

24 divided by 1/4 is 96

you turn 24 into a fraction by putting a one under is and then you keep it change it flip it

24/1 Divided by 1/4

24/1 times 4/1

24 times 4= 96

1 times 1= 1

96/1=96

Find the missing angle. Find x.

Answers

20 because opposite angles are equal.

the inaugural attendance of an annual film festival is 20,000. The attendance y increases by 5% each year
A. write a function that represents the attendance after t years.
B. about how many people will attend the festival in the fifth year?

Answers

A. A function that represents the attendance after t years can be written as y = 20,000(1 + 0.05t)

What does a math function mean?

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

This function represents the initial attendance of 20,000, multiplied by 1 + 5% increase each year (0.05) times the number of years (t).

B. To find out about how many people will attend the festival in the fifth year, we can substitute t = 5 into the function.

y = 20,000(1 + 0.05 * 5)

y = 20,000(1 + 0.25)

y = 20,000(1.25)

y = 25,000

So, approximately 25,000 people will attend the festival in the fifth year.

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I need help, and I forgot how to do this

Answers

Answer: 5. 2x+8  6. 5(x-9)   7. -3x+-21

Step-by-step explanation: Multiply the number outside the parenthesis by everything inside it

If given the following scenario: The half-life of Sodium-24 is 15
hours. If you start with 352 grams of Sodium-24 how much would
be left after 8 days?

0.049 grams

Approximately 0 grams

1.375 grams

95.965 grams

Answers

Sodium has two radioactive cosmogenic isotopes (22Na, half-life = 2.605 years; 24Na, half-life = ~ 15 hours) that have been used as tracers in hydrologic studies.

Sodium-24 how much would be left after 8 days?

Sodium-24, a radioactive isotope having a half life of 15 hours is used medically in blood studies and it decays by beta decay.

Na has received considerable attention in hydrologic research because it is a mobile element that participates in precipitation and dissolution reactions in ground water (clay formation, albitization of plagioclase). Their short half-lives (i.e. high decay rate) make their measurement relatively easy by common radioanalytical techniques.

Substantial concentrations of 22Na and 24Na have been measured in precipitation (Roedel, 1970; Perkins et al., 1970). However, no studies have as yet been published documenting the cosmogenic sodium systematics in ground or surface waters.

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WILL MARK BRAINLIEST given angles A and B in quadrant I with tan = 7/24 and tan B = 15/8, find tan (A + B), find the exact value of each expression by applying the identity. 3. Why are the men, even those that bet againsthim, "tearing loose" when Buck succeeds? - from the call of the wild Explain how the Distributive Property can be used to solve the equation.3(x + 4) = 36. What rights did the colonists want that they included in the Declaration of Independence? If a temperature at 9pm i one third the temperature at midnight then what i the anwer ? Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options. 18 x minus 15 = 72 50 x minus 25 = 72 18 x minus 9 = 72 3 (6 x minus 3) = 72 x = 4.5 5 1/4 divided by 1/4? Taylor wrote down three consecutive integers. He noticed that when he took the difference between the first term and the third term, and multiplied this difference by 4, the result was 1 more than the second term. What are Taylor's three integers What is the solution of the equation 2x y 4 and 3x 2y =- 1? In Timbs v. Indiana the Supreme Court ruled ... WILL GIVE BRAINLIESTGroup of answer choicessince Timbs' car was worth much more than the fines, the fines could be paid for with the car.that states could impose excessive fines as long as due process was followed.that seizing Timbs' car was an example of excessive fines and that portion of the Eighth Amendment applies to the states.that the Indiana Supreme Court's decision on the Timbs case was in line with the Eighth Amendment. What is a statistical question Musa can ask about the club?How many hours does a member usually spend gardening each month?How many members were at yesterday's club meeting?How many gardens are on the school's property?How much money did the club raise at last week's fundraiser? Constant VolumeA 10.0L sample of gas in a rigid container at 1.00 atom and 200K is heated to800K. Assuming that volume remains constant, what is the new pressure of the gas?AfterCan someone help me please What larger idea about the traveler's journey is mainly expressed by these images of nature in the poem (lines19-22)?It was already lateenough, and a wild night,and the road full of fallenbranches and stones.A. The traveler's future may present obstacles and dangers.B. The traveler will find it easy to hide if she is followed.C. The traveler is having second thoughts about leaving.D. The traveler thinks it is the best time to leave. The health care provider has prescribed an over-the-counter antacid for a pregnant client in her first trimester who is having ongoing nausea, vomiting, and heartburn. Which instruction concerning the antacid should the nurse prioritize after noting the client is also prescribed a multivitamin supplement What branch did the Magna Carta led to the creation of Parliament England's? How did John Quincy Adams fight against slavery as a member of Congress?OA. He proposed that Congress accept the gag rule on slavery.B. He argued for the immediate abolition of slavery.OC. He argued that slavery should not be allowed to spread to newstates.O D. He proposed the Compromise of 1850 to keep the United Statestogether. mary and max are playing a game with complex numbers. mary has a score of 3+2i. Wat must Max's score be so that the product of their score is one? 1) A publisher wants to determine the thickness of a book they will print soon. The book has a front cover and a back cover, each of which have a thickness of 1/4 in. The publisher can choose on what type of paper to print the book.Bond paper has a thickness of 1/4 in. per 100 pages. Write an equation that gives the width `y` of the book, if it has `x`-hundred pages printed on bond paper.Ledger paper has a thickness of 2/5 in. per `100` pages. Write an equation that gives the width `y` of the book, if it has `x`-hundred pages printed on ledger paper.2) If the publisher selects front and back covers with a thickness of 1/3 in. each, how would this change the equations you wrote on the previous slides? The motto of the 442nd and 100th Battalion was "Go to broke." What did that motto mean? What Olmec foods came from the waters of the Gulf of Mexico?A) cacao and saltB) shellfish and fishC) deer and snakesD) wild pigs and maize