A consulting firm gathers information on consumer preferences around the world to help companies monitor attitudes about​ health, food, and healthcare products. They asked people in many different cultures how they felt about the statement​ "I have a strong preference for regional or traditional products and dishes from where I come​ from." In a random sample of 735 ​respondents, 325 of 598 people who live in urban environments agreed​ (either completely or​ somewhat) with that​ statement, compared to 54 out of 137 people who live in rural areas. Based on this​ sample, is there evidence that the percentage of people agreeing with the statement about regional preferences differs between all urban and rural​ dwellers?

The surface area of the two solids are listed below:

Case 1 - 232 square centimeters

Case 2 - 240 square centimeters

The surface area of a solid is the sum of the areas of all its faces. There are two cases of solids whose surface areas must be determined. The area formulas for triangle and rectangle are, respectively:

Triangle

A = 0.5 · b · h

Rectangle

A = b · h

Case 1

A = (6 cm) · (8 cm) + 2 · 0.5 · (6 cm) · (12 cm) + 2 · 0.5 · (8 cm) · (14 cm)

A = 232 cm²

Case 2

A = 2 · 0.5 · (8 cm) · (3 cm) + (8 cm) · (12 cm) + 2 · (5 cm) · (12 cm)

A = 24 cm² + 96 cm² + 120 cm²

A = 240 cm²

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The missing lengths of the geometric systems are listed below:

Case A: x = √5, y = √6

Case B: x = 3, y = √34

Case C: x = 10, y = √104

Case D: x = 6, y = √13

Case E: x = √2, y = 2, z = √8

Case F: x = 2√51

In this problem we find six geometric systems formed by addition of triangles, whose missing lengths are determined by means of Pythagorean theorem:

r = √(x² + y²)

Where:

Now we proceed to determine the missing lengths for each case:

Case A

x =√(2² + 1²)

x = √5

y = √(x² + 1²)

y = √6

Case B

x = 8 - 5

x = 3

y = √(3² + 5²)

y = √34

Case C

x = √(6² + 8²)

x = 10

y = √(10² + 2²)

y = √104

Case D

x = 15 - 9

x = 6

y = √(7² - 6²)

y = √13

Case E

x = √(1² + 1²)

x = √2

y = √(2 + 2)

y = 2

z = √(2² + 2²)

z = √8

Case F

x = 2 · √(10² - 7²)

x = 2√51

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B ⨯ A = {(a,1), (a,2), (a,3), (b,1), (b,2), (b,3)}.

A ⨯ B = {(1,a), (1,b), (2,a), (2,b), (3,a), (3,b)}.

When A and B have the same cardinality, the sets B ⨯ A and A ⨯ B have the same number of elements, and therefore the same cardinality.

We have,

a)

B ⨯ A is the Cartesian product of B and A, which is the set of all ordered pairs (b, a) where b is an element of B and a is an element of A.

Therefore,

B ⨯ A = {(a,1), (a,2), (a,3), (b,1), (b,2), (b,3)}.

b)

A ⨯ B is the Cartesian product of A and B, which is the set of all ordered pairs (a,b) where a is an element of A and b is an element of B.

Therefore,

A ⨯ B = {(1,a), (1,b), (2,a), (2,b), (3,a), (3,b)}.

c)

The cardinality of a set is the number of elements in that set.

We can prove that |B ⨯ A| = |A ⨯ B| by showing that they have the same number of elements.

Let n be the number of elements in A, and let m be the number of elements in B.

|B ⨯ A| = m × n because for each element in B, there are n elements in A that can be paired with it.

|A ⨯ B| = n × m because for each element in A, there are m elements in B that can be paired with it.

Since multiplication is commutative, m × n = n × m.

So,

|B ⨯ A| = |A ⨯ B|.

The statement "B ⨯ A ≠ A ⨯ B" is not always true, but when it is, it means that A and B have different cardinalities.

In this case, |B ⨯ A| ≠ |A ⨯ B| because the order in which we take the Cartesian product matters.

However, when A and B have the same cardinality, the sets B ⨯ A and A ⨯ B have the same number of elements, and therefore the same cardinality.

Thus,

B ⨯ A = {(a,1), (a,2), (a,3), (b,1), (b,2), (b,3)}.

A ⨯ B = {(1,a), (1,b), (2,a), (2,b), (3,a), (3,b)}.

When A and B have the same cardinality, the sets B ⨯ A and A ⨯ B have the same number of elements, and therefore the same cardinality.

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Answer:

X=-3

Step-by-step explanation:

-3^3 is -27

Answer:

x³ = -27

x³×⅓ = -3³

x = -3³×⅓

x = -3

Correct option is D) and E)

(3,7π/6),(3,11π/6)

Point of intersection is the point where two lines or two curves meet each other.

The point of intersection of two lines of two curves is a point.

If two planes meet each other then the point of intersection is a line.

The term "point of intersection" refers to the intersection of two lines. The equations a1x+b1y+c1=0 and a2x+b2y+c2=0, respectively, are used to represent these two lines. The two lines' intersection point is shown in the following figure. The intersection of three or more lines can also be located.

let

5 + 4 sin(θ) = −6 sin(θ)

Then get

θ= -1/2

Then you can make it

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I understand that the question you are looking for is:

On the interval [0, 2π), which points are intersections of r = 5 4 sin(θ) and r = −6 sin(θ)? check all that apply.

A) -3,7/6

B) (-3,11/6)

C) (3,7/6)

D) (3,11/6)

Answer:

It has to be either HEADS or TAILS (obviously). If it's a “Fair” coin the probability of getting either a Heads or Tails is (1/2) for each option.

Conclusion(so far):

Prob (Heads Coin 1) = (1/2) AND

Prob (Tails Coin 1) = (1/2)

To meet the requirements of the question, the second coin toss must have the same result as for the first coin toss.

So if the result for Coin 1 was Heads then the result for Coin 2 must also be Heads.

So

(Prob (Heads Coin 1 AND Heads Coin 2) = (Prob Heads Coin1) * (Prob Heads Coin 2) = (1/2)*(1/2) = (1/4)

Conclusion (so far) (2 coins tossed):

Prob of two coin tosses BOTH giving Heads is (1/2)*(1/2) = (1/4)

AND similarly

Prob of two coin tosses BOTH giving Tails is also (1/2)*(1/2) = (1/4)

To meet the requirements of the question, the third coin toss will, by definition be either HEADS or TAILS.

AND

Prob (Coin 3 Heads) = (1/2) AND

Prob (Coin 3 Tails) = (1/2)

The question is clear: We are asked to find the Probability that the (3 tosses) are the same.

That is, if the first toss (Coin 1) is Heads, then the results for Coin 2 and Coin 3 tosses must also be Heads.

Similarly if the the first toss (Coin 1) is Tails, then the results for Coin 2 and Coin 3 tosses must also be Tails.

So for the tosses for Coins 1, 2 and 3 to each be Heads, we have:

Prob (Coin 1 Heads, Coin 2 Heads, Coin 3 Heads) = (1/2)*(1/2)*(1/2) = (1/8)

AND

Prob (Coin 1 Tails, Coin 2 Tails, Coin 3 Tails) = (1/2)*(1/2)*(1/2) = (1/8)

There are NO OTHER NUMBER COMBINATIONS WHICH MEET THE REQUIREMENTS OF THE QUESTION other than 3 Heads AND 3 Tails.

It is important to note THAT THE SITUATIONS ABOVE (3 Heads AND 3 Tails) are BOTH VALID SOLUTIONS.

Therefore

The Probability for 3 Heads is (1/8)

AND

The Probability for 3 Tails is (1/8)

BUT BOTH THESE SOLUTIONS ARE VALID PROBABILITIES and BOTH meet the requirements of the question.

Therefore the overall probability is THE SUM OF BOTH PROBABILITIES, that is:

The probability that after 3 tosses, the tosses of each coin ALL give the same result is:

(1/8) + (1/8) = (2/8) = (1/4) or 0.25 or 25%

This means that after 3 coin tosses there is a 25% probability that we will get either 3 Heads or 3 Tails.

(A note of interest: It would be an error to ignore the fact that there are TWO valid number combinations which meet the requirements of the question, not one).

(In my analysis above I have identified ONLY the valid-number combination)

Step-by-step explanation:

A smaller level of significance or a larger sample size can reduce the risk of a Type I error, but may increase the risk of a Type II error, and vice versa.

Type I and Type II errors are two types of errors that can occur in hypothesis testing. In the context of the claim that "70% of applicants become", a Type I error occurs when we reject the null hypothesis (i.e., the claim that the true proportion is 70%) when it is actually true. This means that we conclude that the proportion of applicants who become something other than 70%, even though it is actually 70%. The probability of making a Type I error is denoted by the symbol alpha (α).

On the other hand, a Type II error occurs when we fail to reject the null hypothesis when it is actually false. In the context of the claim that "70% of applicants become", a Type II error occurs when we accept the null hypothesis (i.e., conclude that the true proportion is 70%) when it is actually false (i.e., the true proportion is different from 70%). The probability of making a Type II error is denoted by the symbol beta (β).

In other words, a Type I error is a false positive, where we reject the null hypothesis when we should not have, and a Type II error is a false negative, where we fail to reject the null hypothesis when we should have.

To minimize the risk of both Type I and Type II errors, it is important to carefully choose the level of significance (alpha) and the sample size. A smaller level of significance or a larger sample size can reduce the risk of a Type I error, but may increase the risk of a Type II error, and vice versa.

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A and B are typically subitized, which means that they can be immediately recognized without counting. C and D are more likely to be counted.

Counting is the process of determining the number of items in a set by successively adding one. Subitizing, on the other hand, is the ability to immediately recognize the number of items in a small set without counting. The capacity for subitizing is limited to small sets typically ranging from 1 to 5 items, depending on the individual's age and mathematical ability. The answer to this question would be option C, 3. For most individuals, recognizing the number of items in a set of 3 would require counting rather than subitizing, as 3 is at the upper limit of the typical range for subitizing.

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1)

Volume of sphere is 113.1 ft³.

Given radius of sphere 3 ft.

Volume of sphere is 4/3× π ×r³

Substitute the value of radius in the formula of Volume of Sphere,

Volume of Sphere= 4/3×π×r³

                             = 4/3×22/7×3³

                             = 4/3×22/7×27

                             = 113.1 ft³

Hence the given sphere has volume of 113.1 ft³ rounded to the nearest tenth.

2)

Volume of cone is 94.3 yd³

Given diameter of base of cone and height of cone.

Diameter of base = 6 yd

Radius = diameter/2

Radius= 3 yd

Height of cone = 10 yd

Volume of cone = 1/3×π×r²×h

r = radius of base of cone

h = height of cone

Substitute the values of radius and height in the formula,

Volume of cone = 1/3×π×r²×h

                          = 1/3×22/7×3³×10

                          = 660/7

                          = 94.3 yd³

Hence volume of cone rounded to the nearest tenth is 94.3 yd³.

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Answer:

The first one

\( log_{11} \: (x)\)

Step-by-step explanation:

f(x) = 11^x

Here are the steps to find the inverse of a function:

1. Let f(x)=y

2. Make x the subject of formula.

3. Replace y by x.

\(11 {}^{x} = y \\ \: log(11 {}^{x} ) = log(y) \\ x log(11) = log(y) \\ x = \frac{ log(y) }{ log(11) } = log_{11}(y) \\ f {}^{ - 1} (x) = log_{11}(x) \)

Answer:

81 and above

Step-by-step explanation:

They have to be 81 and above

93+69+89+97=348

348/4=87 (average)

87=81=168

168/2= 84 (average)

Answer:

72 or higher hope i helped

Step-by-step explanation:

93 +69 +89+97+x/5= 84

348 +x/5=84

84x5=420

420-348=72

Answer:

The answer is

Step-by-step explanation:

To solve the expression , use the rules of indices

Since the bases are the same and are multiplying we add the exponents

That's

So we have

We have the final answer as

Hope this helps you

correct option is d. -4x⁵+7x⁴-x³+3x²+10x+14. The leading coefficient is -4.

The given polynomial is -x³+10x-4x⁵+3x²+7x⁴+14.

To write the polynomial in standard form, we write the terms in decreasing order of their exponents i.e. highest exponent first and lowest exponent at last.-4x⁵+7x⁴-x³+3x²+10x+14

Hence, the correct option is d.

-4x⁵+7x⁴-x³+3x²+10x+14. The leading coefficient is -4.

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The correct function that gives the right syntax for the given data analysis is; =RIGHT(B3,5)

Data cleaning is defined as the process of fixing or removing data that are incorrect,  incorrectly formatted, duplicate, corrupted, or even incomplete data that exists within a dataset.

Now, when we combine multiple data sources, what it means is that there could be many opportunities for the data to be duplicated or mislabeled.

Now, from the question, we can see the given data of the spreadsheet with customer names and address and as such, we can easily say that the correct syntax is =RIGHT(B3,5). This is because the RIGHT Function usually returns a set number of characters from the right side of a text string.

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Answer:

b=a^2-6

Step-by-step explanation:

Answer:

square both sides, you will get

\(a^{2} = b + 6\\b = a^{2} - 6\)

Step-by-step explanation:

square both sides, you will get

\(a^{2} = b + 6\\b = a^{2} - 6\)

Answer:

1) 906

Step-by-step explanation:

It's in the ones value making it represent the value of 6

The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.

The optimal mix for the maximum profit can be found as follows:

The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg

Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0

Let us now calculate the total cost of making 1kg of toffee pack.

Cost = 20a + 10b + 5c

If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by

Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)

Now we have the following linear programming problem:

Maximize P = 17 - (20a + 10b + 5c)

Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)

a >= 0.3a + b - c >= 0a, b, c >= 0

We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:

We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).

Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is

P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5

Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5

Corner point (0.6, 0, 0.4) result in a profit of 6

Corner point (0, 0.5, 0.5) results in a profit of 5

Corner point (0, 1, 0) gives a profit of 3

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The equation of the ellipse centered at (4, 1) with a minor axis of 8 units and a major axis of 10 units parallel to the x-axis is: (x - 4)²/25 + (y - 1)²/16 = 1

To write the equation of the ellipse centered at (4, 1) with a minor axis of 8 units, a major axis of 10 units, and parallel to the x-axis.
We will use the standard equation of an ellipse in the form:
(x - h)²/a² + (y - k)²/b² = 1
Here, (h, k) represents the center of the ellipse, a is the semi-major axis, and b is the semi-minor axis.
Given that the ellipse is centered at (4, 1), we have h = 4 and k = 1.

Since the major axis is 10 units long and parallel to the x-axis, the semi-major axis a is half of that, which is 5 units.

Similarly, the minor axis is 8 units long, so the semi-minor axis b is half of that, which is 4 units.
Now, we can plug these values into the standard equation of an ellipse:
(x - 4)²/5² + (y - 1)²/4² = 1
Simplify the equation to:
(x - 4)²/25 + (y - 1)²/16 = 1
The equation of the ellipse centered at (4, 1) with a minor axis of 8 units and a major axis of 10 units parallel to the x-axis is:
(x - 4)²/25 + (y - 1)²/16 = 1

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EXPLANATION

Given the function

f(x) = sqrt(x-1) -3

The minimum value on the interval 2≤x≤10 is -3.

We can get this by sketching different points as follows:

x y=sqrt(x-1) -3

0 undefined

1 -3

2 -2

5 -1

10 0

Answer:

It should be one, right??

Step-by-step explanation:

Cause, if u follow the order of operations, you would follow the same steps. I’m not tryin to take points but don’t mark me brainliest.

Answer:

One solution

Step-by-step explanation:

If you put the two equations on a graphing calculator you would see that there are only 1 point that has intersected.  For a more written answer, you would combine -x and 4x to get 3x and 5 and 3 to get 8.

From there on out, you would then have this equation 3 - 2x = 8 + 3x.  Add 2x both sides to get 3 = 8 + 5x, then subtract 8 both sides to get -5 = 5x.  Divide both sides to get x = -1.  This is the only known solution that I know of.

The graph of the exponential function is on the image at the end.

Here we want to graph the function:

f(x) = 0.5*(4)ˣ

To graph this (or any function) we can find some points on the function, and to do so, we need to evaluate it.

when x = 0:

f(0) =   0.5*(4)⁰ = 0.5

Then the point is (0, 0.5)

when x = 1

f(1) =   0.5*(4)¹ = 2

So we have the point (1, 2)

if x = 2

f(2) =   0.5*(4)² = 8

So we have the point (2, 8)

Now we can graph these points and connect them with a general exponential curve.

The graph of the exponential function is shown below.

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The maximum possible number of elements in set B is 62.

A set contains elements or members that can be mathematical objects of any kind, including numbers, symbols, points in space, lines, other geometric shapes, variables, or even other sets. A set is the mathematical model for a collection of various things.

The universal set is A consisting of the primary one hundred positive integers.

Now, Set B is a subset of A.

Set B might be made up of the first 62 positive numbers, for example.

Only then is 123 the largest number that can be formed by adding all the components of set B.

Set B contains 62 items altogether.

Additionally, we can carefully swap out one or more pieces from set B and add them to its complement.

In the majority of these cases, set B may have 62 elements.

Therefore, we get the number of elements in set B will be 62.

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The absolute maximum and minimum values of f are 1 and -1, respectively.

The given function is f(x) = sin(x)

, where 0 <= x <= 2π.Sketch the graph of f by hand:graph of f(x) = sin(x)

(where 0 <= x <= 2π)

Use the graph of f to find the absolute and local maximum and minimum values of f.

The absolute maximum value of f is 1, which occurs at x = π/2.

The absolute minimum value of f is -1, which occurs at x = 3π/2.

The local maximum values of f are 1, which occur at x = π/2 + 2πk

(k = 0, ±1, ±2, ...), and the local minimum values of f are -1, which occur at

x = 3π/2 + 2πk

(k = 0, ±1, ±2, ...).

Thus, the absolute maximum value of f is 1, and it occurs at x = π/2, and the absolute minimum value of f is -1, and it occurs at x = 3π/2.

The local maximum values of f are 1, which occur at x = π/2 + 2πk

(k = 0, ±1, ±2, ...), and the local minimum values of f are -1, which occur a

t x = 3π/2 + 2πk (k = 0, ±1, ±2, ...).

Hence, the absolute maximum and minimum values of f are 1 and -1, respectively.

The local maximum values of f are 1, which occur at x = π/2 + 2πk (k = 0, ±1, ±2, ...), and the local minimum values of f are -1,

which occur at x = 3π/2 + 2πk (k = 0, ±1, ±2, ...).

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Answer:A

Step-by-step explanation:

math

Answer:

A

Step-by-step explanation:

6 cartoons will contain 4 more broken eggs than 4 cartoons and this is because if each cartoon is 12 eggs and each contain 2 broken ones then 6 cartoons would have 4 more which will equal 12 broken eggs in total.

If the barber shop has four chairs and a single barber and each customer requires 15 minutes on average then assuming an exponential distribution for service times, the expected time an entering customer spends in the barbershop is 0.5 minutes.

In a Poisson process, the number of arrivals is independent of the past and the future and the time between consecutive arrivals is exponentially distributed. Customers are arriving at the barber shop according to a Poisson process at a rate of eight per hour.

The average arrival rate of the customer is given as = 8 customers/hour, which means that the average time between arrivals will be 7.5 minutes. The customer service time is given as exponentially distributed, so the expected customer service time is the inverse of the service rate.

Therefore, the expected service time = 1/4 = 0.25 hours = 15 minutes. We can then use the M/M/1 queuing model to determine the expected time an entering customer spends in the barbershop. The M/M/1 queuing model is based on the following assumptions:

Since there are four chairs in the barber shop, we can assume that the system capacity is four.

So, the system capacity is less than infinity.

We can modify the M/M/1 queuing model for M/M/1/4 queuing model.

According to the queuing model, the expected time an entering customer spends in the barbershop can be calculated as:

W = 1/μ - 1/λ  + 1/(μ-λ) * (1- (λ/μ)^4)

Where: λ = Arrival rate

μ = Service rate

W = Waiting time per customer

Therefore,

W = 1/0.25 - 1/0.5 + 1/(0.5-0.25) * (1- (0.25/0.5)^4) = 0.5 - 2 + 2.6667*0.9375 = 0.5 minutes

Therefore, the expected time an entering customer spends in the barbershop is 0.5 minutes.

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Answer:

The measurement for the length of the walls.

Step-by-step explanation:

Given

\(Cost = \$22\) per gallon

\(Height = 9ft\)

\(1\ gallon = 40ft^2\)

See comment for complete question

Required

The additional information needed to solve the question

First, we need to calculate the area of the walls of the bedroom.

The height of the ceilings represents the length/width of the walls; so, we need the width of each side of the bedroom.

Since the width is not given, then we can conclude that the additional information needed is the length/width of the walls.

Answer:   .8

Step-by-step explanation:

\(\frac{16}{20}\)            >reduce the fraction first by dividing the top and the bottome by 4

                so it is easier to divide

=\(\frac{4}{5}\)           >now divide 4 by 5

> 4 cannot go into 5 so you would place a decimal point after the 4 and add a 0

>4.0   divided by 5 is .8

=.8

you get a decimal which is less than 1 because you only have 4/5 which is less than 1 whole so you only get a portion as a decimal.

Long division is the universal way, but it can also be approached differently.

We know that \(20\cdot5=100\), therefore \(\dfrac{16}{20}=\dfrac{16\cdot5}{20\cdot5}=\dfrac{80}{100}=\dfrac{8}{10}=0.8\).

Or simplify \(\dfrac{16}{20}\) first: \(\dfrac{16}{20}=\dfrac{4}{5}\). Then using the same logic as above - \(5\cdot2=10\), therefore we \(\dfrac{4}{5}=\dfrac{4\cdot2}{5\cdot2}=\dfrac{8}{10}=0.8\).

Answer:

I'm sorry, I can help you with only this one :( ∠F = 44°

Step-by-step explanation:

∠F = 180° - (46° + 90°) = 44°

Answer:

4 feet

Step-by-step explanation:

2 feet = 24 inches

6 inches = 1/2 foot

There are 12 months in a year.

12*(1/2) = 6 feet (72 inches)

OR

12*6 = 72 inches (6 feet)

If it rained 6 inches or 1/2 foot every month of a year, it would rain 6 feet or 72 inches that year.

6-2 = 4 feet

This would be 4 feet of rain more than Springfield's world record.