is it ever appropriate to reach a causal conclusion from data collected in a scientific study that showed a statistically significant effect?

The linear equation y - 6x - 9 = 0 is represented as y = 6x + 9. Then the correct option is A.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Consider the function represented by the equation given below.

y - 6x - 9 = 0

The solve for y, we have

  y = 6x + 9

f(x) = 6x + 9

Then the correct option is A.

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Answer:

f of x = 6 x + 9

Step-by-step explanation:

Edge

Answer:

1.6

i think

Step-by-step explanation:

Answer:

1.6

Step-by-step explanation:

1.6

1.625

2 is closer to 0 than 10

If the line segment is reflected across a line, the length of the image will be 5 inches.

If the line segment is translated 2 inches to the right, the length of the image will be 5 inches.

If the line segment is rotated 90° around one of the endpoints, the length of the image will be 5 inches.

In Mathematics and Geometry, a transformation refers to the movement of an end point from its initial position (pre-image) to a new location (image). This ultimately implies that, when a geometric figure or object is transformed, all of its points would also be transformed.

Generally speaking, there are three (3) main types of rigid transformation and these include the following:

In conclusion, rigid transformations are movement of geometric figures where the size (length or dimensions) and shape does not change because they are preserved and have congruent preimages and images.

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Here are examples of functions that require the application of the specified rules:

a) For the product rule and special function differentiation rules, consider the function: f(x) = x^2 * sin(x). To find its derivative, apply the product rule: f'(x) = (x^2)' * sin(x) + x^2 * (sin(x))', where f'(x) = 2x * sin(x) + x^2 * cos(x).

b) For the power rule, quotient rule, and chain rule, consider the function: g(x) = (x^3 - 1)^2 / (x^2 + 1). To find its derivative, apply the quotient rule: g'(x) = [(x^3 - 1)^2]' * (x^2 + 1) - (x^2 + 1)' * (x^3 - 1)^2 / (x^2 + 1)^2. Then, use the power and chain rules to find the derivatives of the numerator and denominator.

c) For applying the chain rule twice, consider the function: h(x) = sin(cos(x)). To find its derivative, apply the chain rule: h'(x) = (sin(cos(x)))' = cos(cos(x)) * (-sin(x)), applying the chain rule again.

d) For implicit differentiation and special function differentiation rules, consider the equation: x^2 + y^2 = 1 (a circle). To find the derivative dy/dx, differentiate both sides with respect to x: 2x + 2y(dy/dx) = 0. Solve for dy/dx: dy/dx = -2x / (2y) = -x/y.

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the answer is:

A. slope: 9, y-intercept: -6

Answer:

\((n^{-3}) ^{6}\)

Step-by-step explanation:

Using the rules of exponents

\((a^{m}) ^{n}\) ⇔ \(a^{mn}\)

\(a^{-m}\) ⇔ \(\frac{1}{a^{m} }\)

Consider

\((n^{-3}) ^{6}\)

= \(n^{-3(6)}\)

= \(n^{-18}\)

= \(\frac{1}{n^{18} }\)

The other 3 all simplify to \(n^{18}\)

Previous Balance: $120

Finance Charge: $15

New Purchases: $200

Payments: $300

Recall this is a Credit Card Statement.

To find the new balance we must subtract the payments and add the charges:

New Balance = $120 - $300 + $15 + $200

New Balance = $35

Answer: A. $35.00

In response to the query, Line C traverses Point (10, 10) & (1, 5). Line d and line c are parallel, and line d's slope is 5/9.

Parallel in mathematics refers to the different vectors that should never have cross each other with. Parallel relates directly to complementarity or contemporaneous higher incidence.

A straight line's general equation is: y = mx + c [m] where [m] is the slope of the line and represents the unit change rate of [y] without respect to [x].

The y-intercept, or the place where the graph crosses the [y] axis, is represented by [c].

When (x1, y1) and (x2, y2) are really the coordinates of 2 points on the line, m = (y2 - y1) / (x2 - x1).

adding the values we obtain,

m = (5 - 10) / (1 - 10) = -5 / -9 = 5/9

Therefore, the slope of line [d] would be 5/9.

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Answer: True

Step-by-step explanation:

True

Answer:

.86

Step-by-step explanation:

Exponential function formula

\(y = a ( 1 + or - r ) ^t\)

where a = initial value

r = rate of change

and t = number of years

given the equation y = 34000(0.86)^x.

r = .86

Hence the change factor is .86

Answer:

38

Step-by-step explanation:

1-4 rounds down so like 37.4 would just be 37 5-9 rounds up to the next number

38 is 37.5 rounded to the nearest whole number

1. If the digit to the right of the place you're rounding is greater than 5, increase the number by 1 and change all digits to the right to 0.

2. If the digit to the right of the place you're rounding is less than 5, keep the digit the same and change all digits to the right to 0.

3. If you're rounding 9 up, carry 1 over to the next place to the left. For instance, when rounding 987 to the nearest hundred, you would round up the 9 because 8 is greater than 5. The answer would be 1,000, because you have to carry the 1 over to the left.

37.5 rounded to the nearest whole number ?

If the digit to the right of the place you're rounding is greater than 5, increase the number by 1 and change all digits to the right to 0.

37.5 rounded to the nearest whole number = 38.0

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Answer:

Complementary angles are two angles that add up to 90° in total measurement.

Example:

Angle 1 is 34°. It's complement would be 56°.

\(90 -34=56\)

Brainilest Appreciated.

Answer:

42

Step-by-step explanation:

Step-by-step explanation:

1) Thousands

2) 100 thousands

3) tens

The rule to translate triangle ABC to triangle A'B'C' is (x + 5, y - 5).

To find the rule that translates triangle ABC to triangle A'B'C', we need to determine the translation vector (a, b) that moves each vertex of triangle ABC to its corresponding vertex in triangle A'B'C'.

Let's calculate the translation vector by subtracting the coordinates of a vertex in triangle ABC from its corresponding vertex in triangle A'B'C'.

Translation vector for vertex A:

(a, b) = (4 - (-1), -3 - 2) = (5, -5)

Translation vector for vertex B:

(a, b) = (10 - 5, -8 - (-3)) = (5, -5)

Translation vector for vertex C:

(a, b) = (2 - (-3), -5 - 0) = (5, -5)

Since the translation vector is the same for all vertices, we can conclude that the rule to translate triangle ABC to triangle A'B'C' is (x + 5, y - 5).

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The average acceleration of the golf ball as it was dropped from the second story window is 9.8m/s².

Given in the question is:

Since the ball started from rest

Initial velocity; u= 0m/s

Final velocity; v = 14.7 m/s

Time taken for the golf ball to hit the sidewalk; t = 1.5 s

Average Acceleration; g =?

To determine the average acceleration of the golf ball, we use the First Equation of Motion:

v = u + at

The Equation will be :

v = u + gt

Plug the all values in above equation:

14.7m/s = 0 + g x 1.5 s

g =  14.7 / 1.5

g = 9.8m/\(s^2\)

Therefore, the average acceleration of the golf ball as it was dropped from the second story window is 9.8m/s².

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Answer:

(4)

Step-by-step explanation:

As the circumference of a circle measures 360 degrees, minor arc AC measures 360-268=92 degrees.

By the inscribed angle theorem, angle ABC measures 46 degrees.

Important notice:

/\2 = Power 2

Answer:

D. 1,047.2

Step-by-step explanation:

The volume of the grain silo can be found by adding the volumes of all the solids of which it is composed.

The silo is made up of a cylinder with the height of 10 feet and base radius of 5 feet and two cones, each having the height of 5 feet and base radius of 5 feet.

The formulas volume of cylinder πr /\2 h and volume of cone 1/3  πr/\2h can be used to determine the tatol volume of the silo.

Since the two cones have identical dimensions, the total volume, in cubic feet, of the silo is:

V = π(5)/\2 (10) + (2) ( 1/3) π(5) /\2 (5)

= ( 4/3 ) (250)π

= 1,047.2 cubic feet.

By using the Basu's theorem  and from parts (a) and (b), we conclude that P and T are independent.

Basu's theorem states that if a complete sufficient statistic T and an ancillary statistic S are independent, then any statistic U that is a function of T and S is independent of any unbiased estimator of a function of θ.

Using Basu's theorem, we need to show that Σ(Xi – X)^2 is ancillary and independent of the mean ξ and variance σ^2. Since X follows a normal distribution, we know that the sum of squares of deviations from the mean (Σ(Xi – X)^2) follows a chi-square distribution with n degrees of freedom, where n is the sample size.

Since the chi-square distribution only depends on the sample size and is independent of the mean and variance of X, we conclude that Σ(Xi – X)^2 is ancillary and independent of ξ and σ^2. Therefore, using Basu's theorem, we conclude that X and Σ(Xi – X)^2 are independent.

In problem 6.18, we have shown that X(1) follows an exponential distribution with parameter λ = 1/θ, where θ is the common distribution of the X's. Therefore, X(1) is complete and unbiased for θ. Using the result from problem 6.17(e), we know that Σ[Xi – X(1)] follows a gamma distribution with parameters n – 1 and 1/θ. Therefore, Σ[Xi – X(1)] is ancillary and independent of θ. Using Basu's theorem, we conclude that X(1) and Σ[Xi – X(1)] are independent.

Using the hint provided in the problem, we can rewrite Σ[Xi – X(1)] as b times the sum of n – 1 independent exponential random variables with mean a/(n – 1). Therefore, Σ[Xi – X(1)] follows a gamma distribution with parameters n – 1 and a/(n – 1), which is equivalent to a gamma distribution with parameters n – 2 and b = 1/(a/(n – 1)).

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Flip a fair coin until it comes up heads. You win a payout of 2n dollars, where n is the number of flips you performed. The expected value of this game is $2.

The game you're describing involves flipping a fair coin until you get a heads. The payout is 2^n dollars, where n is the number of flips you performed.

To calculate the expected value of this game, we can consider the probability of winning at each stage and the associated payouts.

Since the coin is fair, the probability of getting a heads on the first flip is 1/2, and the payout would be 2^1 = $2. If you don't get a heads on the first flip, you have a 1/2 chance of getting a heads on the second flip, making the probability 1/2 * 1/2 = 1/4. The payout would be 2^2 = $4. We can continue this pattern for all possible outcomes.

The expected value can be calculated as the sum of the product of the probability of each outcome and its respective payout. So, the expected value (EV) would be:

EV = (1/2 * $2) + (1/4 * $4) + (1/8 * $8) + ...

This is an infinite geometric series with a common ratio of 1/2. To find the sum of an infinite geometric series, we can use the formula:

Sum = a / (1 - r),

where "a" is the first term and "r" is the common ratio. In this case, a = (1/2 * $2) = $1, and r = 1/2. Plugging these values into the formula, we get:

Sum = $1 / (1 - 1/2) = $1 / (1/2) = $2

Therefore, the expected value of this game is $2.

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Answer:

The expression indicates that when polynomial P(x) is divided by divisor x - a, the remainder of the division is 0

Step-by-step explanation:

The question would be better answered if you gave option. Since there is no option, I'll answer the question generally.

Given

\(P(a) = 0\)

The above expression indicates that when polynomial P(x) is divided by divisor x - a, the remainder of the division is 0

Take for instance, the polynomial is:

\(P(x) = x^2 - x - 2\)

And the divisor is x - 2, then P(2) = 0 because (x - 2) is a divisor of the equation.

\(\frac{P(x)}{x} =\frac{x^2 - x - 2}{x - 2}\)

Factorize the numerator

\(\frac{P(x)}{x} =\frac{(x- 2)(x + 1)}{x - 2}\)

\(\frac{P(x)}{x} =x + 1}\)

See that x - 2 is a divisor

To check

Set x - 2 to 0

\(x -2 = 0\)

\(x = 2\)

So, we have:

\(P(x) = x^2 - x - 2\)

\(P(2) = 2^2 - 2 - 2\)

\(P(2) = 4 - 2 - 2\)

\(P(2) = 0\)

Answer:

See Explanation

Step-by-step explanation:

Answer:

Step-by-step explanation:

The orthocenter is the point at where the triangle's elevations intersect.

The orthocenter will be located on the triangle JKL.

In Euclidean geometry, any three non-collinear points define a unique triangle as well as a unique plane.

A triangle is a three-sided closed shape. The Heron's formula and Pythagoras theorem are two significant formulas relating to triangles.

The orthocenter is the point at where the altitudes intersect. Because each altitude is orthogonal to the base, the prefix ortho- is appropriate for describing their point of junction.

The orthocenter of a right triangle is the vertex of the right angle and so lies on the triangle.

Therefore,

The orthocenter is the point at where the triangle's elevations intersect.

The orthocenter will be located on the triangle JKL

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Answer:

5(6x+8) =9x - 10 + 21x: No solution

Answer: No solution

Steps below

Step-by-step explanation:

1: Groups like terms.

2: Add similar elements 9x+21x=30x

3: Expand 5(6x+8): 30x+40

4: Subtract 40 from both sides

5: Simplify

6: Subtract 30x from both sides

7: Simplify

8: Answer: No solution

Hope this helps.

Answer: none

Step-by-step explanation:

30x+40=30x-10

Plotting the data on a graph can help you identify the outliers or points that don't fit the pattern.

The dataset, you can use it to identify the points that don't fit the pattern.

The points that don't fit the pattern in a dataset.

The points that don't fit the pattern in a dataset, you can use several methods such as:

Visualization:

Plotting the data on a graph can help you identify the outliers or points that don't fit the pattern.

You can use various graph types such as scatter plots, line graphs, box plots, etc., to visualize the data.

Statistical methods:

You can use statistical methods such as standard deviation, z-score, or regression analysis to identify the outliers or points that don't fit the pattern.

Domain knowledge:

If you have domain knowledge about the dataset, you can use it to identify the points that don't fit the pattern.

If you know that a particular event occurred during a specific period, you can use it to explain the anomaly in the data.

The points that don't fit the pattern, you can investigate why they don't fit the pattern.

It could be due to measurement errors, data entry errors, or a genuine anomaly in the data.

Understanding why certain data points don't fit the pattern can provide insights into the data and improve the accuracy of the analysis.

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Answer:

x = 26

Step-by-step explanation:

it is a right angle so

(x+4)3=90

3x+12=90

-12         -12

3x = 90-12

3x = 78

/3       /3

x = 26

Answer:

5.5

Step-by-step explanation:

x=y

2x=11

x=11/2=5.5

Answer:

Step-by-step explanation:

An acute angle of a right-angled triangle is twice the other acute ongle find them​

the sum of the internal angles of a triangle is 180 °, take away the right angle (90 °) and divide by three, and you find one of the unknown angles, you multiply it by 2 and you find the other unknown angle

(180 - 90) : 3 = 30

30 * 2 = 60

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

check

90 + 30 + 60 = 180°

the answer is good