discuss the strengths and weaknesses of correlational studies you examined. discuss concepts such as positive and negative correlation, correlation coefficients, and causality specifically with the correlational output evaluated.

Answer:

A

Step-by-step explanation:

That is the only rate that has the correct format.

Answer:

A. 9 miles/2 hours

Step-by-step explanation:

distance over time

Answer:

1896

Step-by-step explanation:

If the sum of three numbers is 20 , then the product of all the three numbers is 28  .

In the question ,

the sum of three numbers is given as = 20 ,

let the three numbers be x₁ , x₂ and x₃ .

So , x₁ + x₂ + x₃ = 20 ,

the first number is 4 times the sum of other two ,

that is , x₁ = 4(x₂ + x₃) ;

and the second number is 7 times the third ,

that is , x₂ = 7x₃

Substituting the values from above in the sum equation ,

we get ,

4(x₂ + x₃) + 7x₃ + x₃ = 20

4(7x₃ + x₃) + 7x₃ + x₃ = 20

32x₃ + 8x₃ = 20

40x₃ = 20

x₃ = 1/2

So , x₂ = 7/2 and

x₁ = 4(7/2 + 1/2) = 32/2 = 16

So ,the product is = 16×(7/2)×(1/2)

= 28 .

Therefore , the product is 28 .

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Answer:

  (smallest, largest) = (B, C), (D, E), (G, J)

Step-by-step explanation:

Side lengths of a triangle are proportional to the sine of the opposite angle. In a triangle, a larger angle will always have a larger sine. That means the smallest angle is opposite the shortest side, and the largest angle is opposite the longest side.

__

The shortest side is 5 units, opposite angle B. The longest side is 7 units, opposite angle C.

The shortest side is 3 units, opposite angle D. The longest side is 5 units, opposite angle E.

The shortest side is 5 units, opposite angle G. The longest side is 5.1 units, opposite angle J.

_____

Additional comment

Angles in a triangle may exceed 90°. The sine function actually is decreasing for angles above 90°. However, since the total of angles of a triangle must be exactly 180°, there cannot be two angles in a triangle such that the smaller angle has the larger sine.

Answer:

Drake: 18

Josh: 11

Step-by-step explanation:

11*2=22

22-4 = 18

11+18= 29

The distance between the points (-6,7) and (-1,1) is  7.81 units

We know that the distance formula between two points (x₁, y₁) and (x₂, y₂) is:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

We need to find the distance between the points (-6,7) and (-1,1)

Let (x₁, y₁) = (-6, 7)

and (x₂, y₂) = (-1, 1)

Using above distance formula, the distance between the points (-6,7) and (-1,1) would be,

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(1 - 7)² + (-1 - (-6))²]

d = √[(1 - 7)² + (-1 + 6)²]

d = √[(-6)² + (5)²]

d = √[36 + 25]

d = √(61)

d = 7.81 units

This is the required distance.

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If the objective function coefficient for variable 1 decreases by 20, the solution will shift in the direction of the decrease in the objective function coefficient. It means that the optimal solution that was obtained previously will no longer remain optimal, and the new optimal solution will be found with the new objective function coefficient.

In linear programming, the objective function determines the maximum or minimum value that can be attained in the solution, subject to the constraints. The constraints in the problem can be either equalities or inequalities, which limit the range of values that the decision variables can take on.

The change in the objective function coefficient will change the direction of the optimal solution, and it may affect the feasibility of the solution. It means that some constraints may no longer be satisfied, or some variables may become infeasible.

In such cases, it will be necessary to revise the constraints or the variables to ensure the feasibility of the solution.

The solution can also be affected if the constraints of the problem change. The new constraints may limit the range of values that the variables can take on, or they may add new variables to the problem. These changes can affect the feasibility of the solution, and it may require the problem to be solved again to obtain the new optimal solution.


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Cost function and Marginal cost function:

Example: Let's say a company produces widgets, and the cost function is given by C(q) = 1000 + 5q + 0.1q^2, where q is the quantity of widgets produced. The marginal cost function, MC(q), would be the derivative of this cost function, which is MC(q) = 5 + 0.2q.

Average cost function and Marginal Average cost function:

Example: Suppose the average cost function for a company manufacturing bicycles is AC(q) = 5000/q + 50, where q is the quantity of bicycles produced. The marginal average cost function, MAC(q), would be the derivative of this average cost function, which is MAC(q) = -5000/q^2.

Revenue function and Marginal Revenue function:

Example: Let's consider a company selling books, and the revenue function is given by R(q) = 20q - 0.5q^2, where q is the quantity of books sold. The marginal revenue function, MR(q), would be the derivative of this revenue function, which is MR(q) = 20 - q.

Average revenue function and Marginal average revenue function:

Example: Suppose

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With this query, no effort is necessary. measure the tbsp. of all items.

A great source of both phosphorus and calcium, which are essential for the growth and upkeep of strong, strong teeth and bones, is milk. They lower the chance of developing osteoporosis and suffering broken bones later in life. Milk encourages strong bones.

1. Measure \(8\) tbsp. chocolate sauce and add \(2\frac{1}{2}\) cups of milk.

No work is required for this question. It is a simple instruction to measure out 8 tbsp. of chocolate sauce and add it to \(2\frac{1}{2}\) cups of milk.

2. Start with \(1\frac{3}{4}\) cups of milk and add \(2\frac{1}{2}\) tbsp. chocolate sauce.

No work is required for this question. It is a simple instruction to start with \(1\frac{3}{4}\) cups of milk and add \(2\frac{1}{2}\) tbsp. of chocolate sauce.

3. Add \(3\frac{1}{3}\) tbsp. chocolate sauce to \(1\frac{1}{4}\) cups milk.

No work is required for this question. It is a simple instruction to add  \(3\frac{1}{3}\)tbsp. of chocolate sauce to \(1\frac{1}{4}\) cups of milk.

4. For every 1 cup of milk add \(2\frac{1}{2}\) tbsp. of chocolate sauce.

No work is required for this question. It is a simple instruction to add \(2\frac{1}{2}\) tbsp. of chocolate sauce for every \(1\) cup of milk.

5. Stir \(1\) tbsp. chocolate sauce into \(\frac{2}{3}\) cup milk.

No work is required for this question. It is a simple instruction to stir 1 tbsp. of chocolate sauce into \(\frac{2}{3}\) cup of milk.

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The area of the region enclosed by the curves: Y = 3X and Y = 6X² is

1/8 sq. unit.

Linear equation are those in which power is 1 or maximum degree is 1. For example: x + y = 3 here the maximum degree is 1.

Quadratics equation are those in which power is 2 or maximum degree is 2. For example: X² + 6X + 3 = 0. here the maximum degree is 2.

Here, we have given two equation:

Y = 3X

Y = 6X²

To find the limit we will equate the both equation:

3X = 6X²

6X² - 3X = 0

3X ( 2X - 1 ) = 0

here we get two values of X, X = 0 and X = 1/2

so, Lower limit = 0 and Upper limit = 1/2.

Area = \(\int\limits^ \frac{1}{2} _0 {(3x - 6x^{2} ) } \, dx\)

Area = ( 3/2 ( x ⁸ )  - 2 ( x³ ) )          --- Limit from: 0 to 1/2

Area = (3/2 ( 1/2 ² ) - 2 ( 1/2 ³) ) - ( 3/2 ( 0² ) - 2 ( 0³) )

Area = 3/8 - 1/4 - 0 + 0

Area = 1/8 sq. unit

Hence,

The area of the region enclosed by the curves: Y = 3X and Y = 6X² is

1/8 sq. unit. For graph See the attached image.

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The amount of each payment to be made into a sinking fund earning 8% compounded monthly to accumulate $57,000 over 8 years is $505.45.

A sinking fund is a fund that an organization or a government sets up to help repay its debts or cover its planned expenditures. It is also referred to as a reserve fund. The purpose of a sinking fund is to make payments towards a debt, such as a bond issue when it becomes due. A sinking fund helps reduce the risks associated with default. Sinking funds are used to pay off debts, replace assets, or fund upcoming capital projects.

What is Compounded Monthly?

Compounded Monthly is when interest is paid on the original principal as well as on the accrued interest. In simple terms, Compound interest is the interest that is earned not only on the original deposit but also on any interest that has already been earned. The monthly compounding formula is calculated using this method.

What is the amount of each payment to be made into a sinking fund earning 8% compounded monthly to accumulate $57,000 over 8 years?

To find the amount of each payment to be made into a sinking fund earning 8% compounded monthly to accumulate $57,000 over 8 years, we use the formula:

PMT = FV([i/12]) / [(1 + [i/12])^(n*12) - 1]

where,

PMT = Paymenti = Interest rateFV

= Future value of the investment = number of years.

In this case, the amount of the payment that needs to be made into a sinking fund can be calculated as follows: Let's first convert the interest rate to

monthly interest rates = 8% / 12 = 0.6667%

FV = $57,000n = 8 years

PMT = 57000 / [(1 + 0.6667%)^(8*12) - 1]/ [0.6667%(1 + 0.6667%)^(8*12)]

PMT = $505.45

Hence, the amount of each payment to be made into a sinking fund earning 8% compounded monthly to accumulate $57,000 over 8 years is $505.45.

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The correct option would be -4...4.

The expression (randgen.nextInt(9) - 4) uses a random number generator object named randgen to generate a random integer between 0 (inclusive) and 9 (exclusive) using the nextInt() method.

By subtracting 4 from this random integer, we determine the range of possible values for the expression.

Since the original random integer ranges from 0 to 8, subtracting 4 shifts the range to -4 to 4. This means that the possible values for (randgen.nextInt(9) - 4) can be any integer between -4 and 4, inclusive.

In other words, the expression can yield values such as -4, -3, -2, -1, 0, 1, 2, 3, and 4. These values cover a total of nine integers, including both positive and negative numbers.

Therefore, the correct option is -4...4, which represents the range of possible values for the expression (randgen.nextInt(9) - 4).

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Answer:

8000000 grams

Step-by-step explanation:

8,000kg=8,000,000kg

The effect of the slower speed is paul would be late by 10 minutes.

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

Here,
Paul planned a 160-mile trip and assumed he would travel at an average rate of 50 miles per hour.
Estimated time = 160 / 50 = 3.2 hours

After 2 hours at his planned rate of travel, traffic slowed and he was only able to travel 40 miles per hour for the remainder of the trip.

Actual time = 2 + [160 - 2×50]/40
Actual time = 3.5 hours

Thus, the effect of the slower speed is paul would be late by 10 minutes.

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3) The extra number of feet of coiled tubing Tom needs to run into the well is: 5445 ft

4) The total length of coiled tubing Brendan ran in the wellbore is: 994 ft

5) The distance that the coiled tubing has reached after the first four hours is:  a depth of 16,776 feet in the well.

3) Initial amount of coiled tubing he had after 81 minutes = 9,153 feet

Amount of tubing after another 10 minutes = 10,283 feet

The total tubing required = 15,728 feet.

The extra number of feet of coiled tubing Tom needs to run into the well is: Needed tubing length - Current tubing length

15,728 feet - 10,283 feet = 5,445 feet

4) Speed at which Brendan is running coiled tubing = 99.4 feet per minute.

Coiled tubing inside the wellbore after 8 minutes is: 795.2 feet

Coiled tubing inside the wellbore after 2 more minutes is: 198.8 feet

The total length of coiled tubing Brendan ran in the wellbore is:

Total length = Initial length + Additional length

Total length =  795.2 feet + 198.8 feet

Total Length = 994 feet

5) Rate at which coiled tubing is being run into a 22,000-foot wellbore = 69.9 feet per minute. After the first four hours, we need to determine how deep the coiled tubing has reached.

A time of 4 hours is same as 240 minutes

Thus, the distance covered in the first four hours is:

Distance = Rate * Time

Distance = 69.9 feet/minute * 240 minutes

Distance = 16,776 feet

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Answer: 9 pizzas

Step-by-step explanation:

From the question, we are informed that Jackson Elementary School ordered 25 pizzas for an awards ceremony and at the end of the day, the principal found 8 1/4 pepperoni pizzas and 7 3/4 sausage pizzas left over.

A reasonable estimate for the number of pizzas the students ate at the awards ceremony will be:

= 25 - (8 1/4 + 7 3/4)

= 25 - 16

= 9 pizzas

Answer:

r= -6

Step-by-step explanation:

In mathematics, "\(a^2\)" denotes the square of a number or variable "a." It is calculated by multiplying "a" by itself.

4For example, if "a" is 5, then a^2 would be 5*5, which equals 25. When "a" represents a positive number, its square is always positive.

If "a" is negative, its square is still positive since a negative multiplied by a negative results in a positive.

In geometrical terms, if "a" represents the length of the side of a square, then a^2 represents the area of that square. This notation is part of the general concept of exponentiation.

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The Question in English

What does a^2 mean in mathematics

We need a minimum of 12 terms in order to guarantee this level of accuracy.

Now, According to the Simpson rule approximation :
\(\int\limits^1_0 {15e^x^2} \, dx\)

So, a = 0 , b = 1 and \(f(x) = 15e^x^2\) . We need the fourth derivative of f:

\(f'(x) = 30xe^x^2\)

\(f''(x) = 30e^x^2+60x^2e^x^2=(30x+60x^2)e^x^2\)

\(f'''(x)=120xe^x^2+2x(30+60x^2)e^x^2=(180x+120x^3)e^x^2\)

\(f''''(x)=(180+360x^2)e^x^2+2x(180x+120x^3)e^x^2=(180+720x^{2} +240x^{4} )e^x^{2}\)

The maximum value of the fourth derivative on the interval [0,1] is \(f^i^v(1)=1140e\) so the error is bounded by:

\(|\frac{f^i^v(1)(1-0)^5}{180n^4} |=\frac{1140e}{180n^4} =\frac{19e}{30n^4}\)

We wish the error to be less than 0.0001, so

\(\frac{19e}{30n^4} < .0001\\ \\19e < .003n^4\\\\n^4 > \frac{19e}{0.003}\\ \\n > \sqrt[4]{\frac{19e}{0.003} }\)

   ≈ 11.454

Therefore we need a minimum of 12 terms in order to guarantee this level of accuracy.

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The given question is incomplete, complete question:

How large should n be to guarantee that the Simpson's Rule approximation to \(\int\limits^1_0 {15e^x^2} \, dx\) is accurate to within 0.0001?

A 90% confidence interval will be 82.5% < p < 84.9%

What is the confidence interval in statistics?

A confidence interval is the mean of your estimate plus and minus its variation. Within a certain level of confidence, this is the range of values you expect your estimate to fall between if you redo your test. In statistics, confidence is another word for probability.

We have to find a 90% confidence interval estimate of adults who used at least one prescription medication.

Here, the sample proportion \(\hat {p} = 0.837\)

We know that for true population proportion confidence interval is given by

\(C.I.= \left( \hat{p}-z_{c}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}} , \hat{p}+z_{c}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\right)\)

For 90% confidence interval \(z_c\) = 1.645 from normal table

\(C.I.= \left( 0.837-1.645\sqrt{\frac{0.837(1-0.837)}{3072}} , 0.837+1.645\sqrt{\frac{0.837(1-0.837)}{3072}}\right)\)

\(C.I.= \left( 0.837-1.645\sqrt{\frac{0.837(0.163)}{3072}} , 0.837+1.645\sqrt{\frac{0.837(0.163)}{3072}}\right)\)

\(C.I.= \left(0.837-1.645\times 0.007 , 0.837+1.645\times 0.007 \right)\)

\(C.I.= \left(0.837-0.012 , 0.837+0.012\right)\)

\(C.I.= \left(0.825 , 0.849\right)\)

Converting our confidence interval into percentages by multiplying it by 100 we get (82.5%, and 84.9%).

Thus, a 90% confidence interval will be 82.5% < p < 84.9%.

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Answer:

5.99/3

Step-by-step explanation:

Teachers usually except this stuff because it is technically correct

Answer:

id,k

Step-by-step explanation:

id,ek

sorry i tried looking it up and goo..gle didnt even say anything lol

The balance increase for card i is $89.24 greater than the balance increase for card h. Card i has a balance of $1,522.16 and an interest rate of 12.05%, compounded monthly. Now, we can calculate the balance for both cards after three years using the compound interest formula: A = P(1 + r/n)^(nt)

Given, Card h has a balance of $1,186.44 and an interest rate of 14.74%, compounded annually.

Card i has a balance of $1,522.16 and an interest rate of 12.05%, compounded monthly. Now, we can calculate the balance for both cards after three years using the compound interest formula: A = P(1 + r/n)^(nt),

where A = final amount, P = principal (initial balance), r = annual interest rate (as a decimal), n = number of times compounded per year, t = time (in years)

For card h,

A = 1186.44(1 + 0.1474/1)^(1*3)

A = 1883.99

For card i, A = 1522.16(1 + 0.1205/12)^(12*3)

A = 1973.23

Therefore, the balance for card i will have increased more than that of card h, and the difference in the increase is: 1973.23 - 1883.99 = 89.24

The balance increase for card i is $89.24 greater than the balance increase for card h. Hence, the required answer is card i.

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Answer:

Step-by-step explanation:

Given:

To Find:

Solution:

We can find the total surface area of cubiod by summing up the area of the six faces of the cubiod:

Surface Area = 2(lw+ wh + hl)

Substituting the required values:

➝ Surface Area = 2(10 × 4.1) + (4.1 × 3.7) + (3.7 × 10)

➝ Surface area= 2(41 + 15.17 + 37)

➝ Surface Area = 2(93.17)

➝ Surface Area = 186.34 cm²

Hence,

Answer:

1.7927

Step-by-step explanation:

The purpose of the ninth was to assert the principle that the enumerated rights are not exhaustive and final and that the listing of certain rights does not deny the existence of other rights.

The Ninth Amendment was part of the Bill of Rights added to the Constitution on December 15, 1791. It states that all rights not enshrined in the Constitution belong to the people, not to the US government. In other words, the rights of citizens are not limited to those stipulated in the Constitution. Simply put, the Ninth Amendment declares that the enumeration of certain rights in the Constitution should not be construed as withholding or disrespecting others from people. According to Judge Harry A. Blackman, Roe v. Wade (1973),

, "As we believe, this right to privacy is limited by the Fourteenth Amendment concept of restrictions on individual liberty and government action. The Ninth Amendment to the Constitution contains ample scope, including determining whether a woman should terminate a pregnancy."

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Answer:

77

Step-by-step explanation:

59+18=77