Coffee is a leading export from several developing countries. When coffee prices are high, farmers often clear forest to plant more coffee trees. Here are data on prices paid to coffee growers in Indonesia and the rate of deforestation in a national park that lies in a coffee-producing region for five years.
Price(cent per pound) Deforestation %
30 0.58
32 1.6
54 1.72
70 1.79
74 3.25
Make a scatterplot. (Do this on paper. Your instructor may ask you to turn this in.) Which is the explanatory variable? What kind of pattern does your plot show?
A. Price is the explanatory variable. The plot shows a negative linear association.
B. Price is the explanatory variable. The plot shows a positive linear association.
C. Price is the explanatory variable. The plot shows no linear association.
D. Deforestation is the explanatory variable. The plot shows a positive linear association.
Find the correlation r step-by-step. That is, find the mean and standard deviation of the two variables. Then find the five standardized values for each variable and use the formula for r.

Answer:

c

Step-by-step explanation:

166% is also equal to 1.66 as a decimal. 1 2/3 as a decimal is 1.6666 repeating. It can't be 166% because they are equal.

7/3 is equal to 2 1/3. Without converting it to a decimal, you already know 2 is bigger than 1, so option c is your answer.

Answer:

C.

Step-by-step explanation:

7/3 = 2.3 > 1 2/3

Answer:

B: 1.53

Step-by-step explanation:

The mean, or average, is 4, and n, the amount of numbers, is 7. To find the standard deviation, first, all of the numbers are subtracted by the mean. This makes (-3, 0, 0, 0, 0, 1, 2). Square all of them to get (9, 0, 0, 0, 0, 1, 4). Next add the squared numbers together (9 + 0 + 0 + 0 + 0 + 1 + 4 = 14). Next, the variance needs to be found. That is found by this formula: (Sum of previous number set ÷ (n - 1)). So in this case, (14 ÷ (n - 1)). Since n is 7, it is (14 ÷ (7 - 1)), or (14 ÷ 6). The answer to that is 2.3 repeating. After the variance is found, it is square rooted to get the standard deviation. √2.3 is about 1.53. Hope this helps! Have a great day! :)

Answer:

$87

The slope is .3

The y-intercept is 42

Step-by-step explanation:

150(.3)=45  

45+42=87

Answer:

1,-6

Step-by-step explanation:the vertex is the lowest/highest point, as you can see here it is at 1,-6

The equation of the line is y = x + 6

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

The graph

On the graph, we have the following highlights

The graph intersect the y-axis at y = 6

This means that the intercept c is 6

Also, as x changes by 1, the y values changes by 1

This mean sthat the slope is 1

So, we have

y = mx + c

This gives

y = x + 6

Hence, the equation is y = x + 6

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The linear equation on the graph can be written as:

y = (3/2)*x + 6

A general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through two points (x₁, y₁), then the slope will be:

a = (y₂ - y₁)/(x₂ - x₁)

In this case we can see the points (0, 6)  (so the y-intercept is b = 6)  and (4, 10)

Then the slope will be:

a = (10 - 6)/(4 - 0) = 6/4 = 3/2

Then the linaer equation is:

y = (3/2)*x + 6

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Customers who purchase items with discount of  credit has 30 days to repay the balance. However, if clients pay for their products within 10 days,

A trade discount, often referred to as a functional reduction, can be applied as a fixed percentage or flat rate deduction from the a seller's initial catalogues list price, in which case the trading discount amount is calculated by multiplying the list price by the percentage difference. Calculating the trade discount requires knowledge of both the item's original list price and the trade discount percentage. The list price is multiplied with the trade discount % in decimal form to arrive at the trade discount.

Here,

they will receive a 2% discount. Customers need only pay $9,800

if they buy $10,000 from Group A underneath the terms 2/10 gross 30 and pay within ten days ($10,000 x 0.98 = $9,800).

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The product of 5 × 5ab × 5, a, b is 125ab5 when written in its most Simple form

The expression 5 × 5ab × 5, a, b is equal to 125ab5. The reasoning is that when we multiply 5 by 5ab, we get 25ab, which we then multiply by 5 to get 125ab. Since a, b are variables, the product 125ab5 is the product of 5 × 5ab × 5, a, b, when written in its most simple form.

The expression 5 × 5ab × 5, a, b is an algebraic expression, which consists of numbers, variables, and operators. Variables are usually represented by letters or other symbols, while operators such as +, -, ×, ÷, ^ are used to indicate mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. In algebra, expressions can be simplified by combining like terms, expanding brackets, and applying other rules of arithmetic.

The most simple form of an expression is the one that cannot be further simplified.In the given expression, 5 × 5ab × 5, a, b, we can see that the number 5 appears three times, so we can simplify the expression by multiplying the numbers together.

Similarly, we can multiply the variables a and b together to get the term ab. Finally, we write the result as 125ab5, which is the product of 5 × 5ab × 5, a, b, in its most simple form.

Therefore, the product of 5 × 5ab × 5, a, b is 125ab5 when written in its most simple form.

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The perimeter of the given triangle with given lengths is; 78

The perimeter of a triangle is defined as the sum total of the 3 side lengths of the triangle.

Now, we are given the triangle as QRS.

We are given that;

A is the midpoint of QR

B is the midpoint of RS

C is the midpoint of SQ

Thus;

QA = RA = 10

BR = SB = 15

SQ = 28

Thus;

Perimeter of Triangle = 2(10) + 2(15) + 28 = 78

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Answer:

6 hours

Step-by-step explanation:

It travels 150 miles in 2.5 hours. 150 ÷ 2.5 = 60. 360 ÷60 = 6

Answer:

6 hours

Step-by-step explanation:

When 1,493,600 is divided by 8 the quotient is 186,700.

To divide 1,493,600 by 8, you can follow these steps:

We have to write down the dividend (1,493,600) and the divisor (8).

Now start with the largest place value in the dividend (the leftmost digit) and perform the division.

Divide 1 by 8. Since 1 is smaller than 8, you move to the next digit.

Bring down the next digit (4) and combine it with the previous quotient (0). This gives you 04.

Divide 4 by 8. Since 4 is smaller than 8, you move to the next digit.

Bring down the next digit (9) and combine it with the previous quotient (0). This gives you 09.

Divide 9 by 8. The quotient is 1, and the remainder is 1.

Bring down the next digit (3) and combine it with the remainder (1). This gives you 13.

Divide 13 by 8. The quotient is 1, and the remainder is 5.

Bring down the next digit (6) and combine it with the remainder (5). This gives you 56.

Divide 56 by 8. The quotient is 7, and there is no remainder.

Bring down the next digit (0) and combine it with the quotient (7). This gives you 70.

Divide 70 by 8. The quotient is 8, and there is no remainder.

There are no more digits to bring down, and the division is complete.

The quotient is the result of the division. In this case, 1,493,600 divided by 8 is equal to 186,700.

Therefore, the result of 1,493,600 ÷ 8 is 186,700.

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Answer:

2.5

Step-by-step explanation:

Let x be the number of hours both people baby sit and y be the number of hours that they each earn.

Sarah:

y = 10 + 2.5x

Carly:

y = 7.5 + 3.5x

You know that the number of hours should be the same (y).

10 + 2.5x = 7.5 + 3.5x

Evaluate and find x.

10 - 7.5 = 3.5x - 2.5x

x = 2.5

Answer:

1. Suppose on a sample of Montanans it is found the mean salary is equal to 30,000. When we use a statistic like this to simply describe a sample, this is an example of:

a) an inferential statistic

b) a descriptive statistic

c) a sample median

d) random sampling

e) b and c

2. If we collect observations on 100 people, and measure their IQ, the 100 observations is:

a) a sample

b) a population

c) a sample with likely no variability

d) a or b are possibilities, depending on the scope of the investigation

e) a variable

Suppose the trace of a matrix is equal to 10. If this matrix is also an identity matrix, how many rows must the matrix have?

10

equal to the number of columns of the matrix

0

a and b

impossible to say without further information

4. If it is universally known in general that all cats have four legs, then the conclusion that your particular cat has four legs is an example of:

inductive inference

deductive inference

statistical inference

d) a mathematical function

e) none of the above

5. Suppose you have values on variable equal to , and wish to compute a measure of variation from the mean. Without knowing what the exact values of the variable are, which of the following measures will necessarily generate a positive number (which is of course different from zero) regardless of the values for ?

a) the sum of absolute deviations from the mean

b) the sum of deviations from the mean

c) the sum of squared deviations from the mean

d) the standard deviation

e) a and c

f) none of the above

6. One common interpretation of the derivative in mathematics is:

a quadratic function

an instantaneous rate of change

the limit of a linear function

none of the above

7. Consider the numbers 1, 2, 3, 4 assigned to values of a variable. The variable being measured is most likely:

a) quantitative

b) qualitative

c) one for which computing the standard deviation would likely be appropriate

d) one for which computing the median would definitely be inappropriate

e) a and c

8. Integration in calculus is generally used for:

computing the rate of change of one variable with respect to another

computing areas under curves

computing areas in rectangles only

none of the above

9. If the mean of some data set is equal to 10, then this necessarily implies:

a) 1/2 of the scores fall above and below the mean of 10

b) the score of 10 must exist in the actual data set of recorded values

c) the variance of the data is probably negative

d) the standard deviation cannot be greater than 10

e) the distribution is normal

f) none of the above

10. If you compute the arithmetic mean, the sum of deviations of scores from that mean are always equal to:

a) 1

b) 0

c) 0 or a positive number

d) a squared number

e) none of the above

The answer is a) 27/6 b) 1/2 c) 0.6 = 6/10 = 3/5 and their sum is 5.6

The four basic arithmetic operations in Maths, for all real numbers, are:

→ Addition (Finding the Sum; ‘+’)

→ Subtraction (Finding the difference;  ‘-’)

→ Multiplication (Finding the product; ‘×’ )

→ Division (Finding the quotient; ‘÷’)

In this given question ;

a) \(\frac{3}{4}\) + 6

first take LCM so we will get : \(\frac{3+24}{6}\) = \(\frac{27}{6}\)

b) \(\frac{2}{4}\)÷ 1

this implies \(\frac{1}{2}\) ÷ 1 = \(\frac{1}{2}\)× 1 = \(\frac{1}{2}\)

c) \(\frac{3}{5}\) = 0.6

If we were to solve a + b + c we get : 27/6 = 4.5

b= 1/2 = 0.5

so 4.5+ 0.5 + 0.6 = 5.6

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True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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Answer:

L - W = 2 and 2L + 2W = 68

Step-by-step explanation:

The two equations here are going to be-

Length minus width equals 2

L - W = 2

And

Length x 2 + Width x 2 = 68

2L + 2W = 68

Answer:

the first one

Step-by-step explanation:

the two lines are on top of each other. The second one is not it because where they meet is at 1 point so there is one solution. The third one can't be it either because the two lines never cross each other so the last one has no solution.

Answer:

2.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Quadratic means squared equation so

the first one is your answer.

y= 4x²

Compound interest formula

where:

• A is the final amount including principal

• P is the principal amount

• i is the interest rate per year (as a decimal)

• n is the number of years invested

Replacing with P = 38000, i = 0.02, and n = 3, we get:

Answer:

6/50 simplified to 3/25

Step-by-step explanation:

step 1 Address input parameters & values.

Input parameters & values: The decimal number = 0.12

step 2 Write it as a fraction

0.12/1

step 3 Multiply 100 to both numerator & denominator

(0.12 x 100)/(1 x 100) = 12/100

It can be written as 12% = 12/100 or 12/100

step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.

4 is the LCM for 12 & 100

step 5 divide numerator & denominator by 4

12/100 = (12 / 4) / (100 / 4)

= 3/25

3/25 is a simplest fraction for the decimal point number 0.12

Answer:

13/15

Step-by-step explanation:

We Know

2/3 of them are chocolate chip cookies.

1/5 of them are sugar cookies.

What fraction of the cookies are chocolate chip or sugar?

2/3 + 1/5 = 10/15 + 3/15 = 13/15

So, 13/15 of the cookies are chocolate chip or sugar.

Answer:

7X+7=2(X+1)

7X+7=2X+2

7x-2X =2-7

5X/5 =-5/5

. X =-1

Answer: Yes.

Step-by-step explanation:

If one pair of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram. If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Answer:

1808.64 in²

Step-by-step explanation:

We can first convert 9 cm into 24 in using the scale. From there on outwards, we know that the area of a circle is equal to πr², so we just plug in 3.14 for π and 24 in for r. Then, we get 576(3.14) and finally 1808.64 in².

By the way, the scale is wrong. It should be 8 cm = 3 in, not 3 cm = 8 in.

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Answer:

X    |   y

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

-2   |   3

-1   |   0

0   |  -3

1   |  -6

Answer:

13 m

Step-by-step explanation:

The distance x is:

x = √12² + (13 -8)² = √144 + 25 = √169 = 13 m

Answer:

c) 13

Step-by-step explanation:

\( {a}^{2} + {b}^{2} = {c}^{2} \\ {5}^{2} + {12}^{2} = {c}^{2} \\ 25 + 144 = {c}^{2} \\ 169 = {c}^{2} \\ c = 13\)

Answer:

C) 13

Step-by-step explanation:

Using the formula: \(a^{2} +b^{2}=c^{2}\), we can plug in 5 into a and 12 into b, since c is always the hypotenuse. Plug those numbers into the formula: \(5^{2} + 12^{2} =c^{2}\) and you get 25 + 144 = \(c^{2}\) or 169 = \(c^{2}\). You can then get rid of the square on the c by finding the square root of both sides. So, the square root of 169 would give you the answer of 13.

Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1)              >only moves in x direction so subtract x's

AB = 4-(-2)             >only moves in y direction so subtract y's

Answer:

Read carefully below

Step-by-step explanation:

We can use spherical coordinates to represent the points on the sphere. These coordinates are typically denoted as (r, θ, φ), where r is the radius of the sphere, θ is the polar angle, and φ is the azimuthal angle.

In order to find a parametric representation of the part of the sphere that lies inside the given cones, we can use the following approach:

First, we need to find the intersection of the sphere and the cone. This is the set of points that satisfy the equations of both the sphere and the cone.

Then, we can use spherical coordinates to represent these points on the sphere.

Finally, we can use these spherical coordinates as parameters in a parametric equation of the form x = x(r, θ, φ), y = y(r, θ, φ), z = z(r, θ, φ) to represent the points on the part of the sphere that lies inside the cone.

Let's use this approach to find a parametric representation of the part of the sphere that lies inside the cone z = 3(x^2 + y^2) in the first case.

To find the intersection of the sphere and the cone, we need to solve the following system of equations:

x^2 + y^2 + z^2 = 16 (equation of the sphere)

z = 3(x^2 + y^2) (equation of the cone)

Substituting the second equation into the first equation, we get:

x^2 + y^2 + 9(x^4 + y^4) = 16

This equation represents an ellipse in the xy-plane. We can use the parametric equations of an ellipse to represent the points on this ellipse:

x = a * cos(t)

y = b * sin(t)

where a and b are the semi-major and semi-minor axes of the ellipse, respectively, and t is a parameter that varies from 0 to 2π.

We can now use spherical coordinates to represent the points on the part of the sphere that lies inside the cone. We can let r be the radius of the sphere (r = 4), θ be the polar angle (0 ≤ θ ≤ π), and φ be the azimuthal angle (0 ≤ φ ≤ 2π).

The parametric equations of the sphere in spherical coordinates are:

x = r * sin(θ) * cos(φ)

y = r * sin(θ) * sin(φ)

z = r * cos(θ)

Substituting the equations for x and y from the ellipse into the equations for x and y from the sphere, we get:

x = 4 * sin(θ) * cos(φ) = a * cos(t)

y = 4 * sin(θ) * sin(φ) = b * sin(t)

z = 4 * cos(θ) = 3(x^2 + y^2) = 3(a^2 * cos^2(t) + b^2 * sin^2(t))

We can solve for a and b in terms of r and θ:

a = 4 * sin(θ)

b = 4 * sin(θ)

Therefore, the parametric equations for the part of the sphere that lies inside the cone z