A coordinate plane with a line passing through (negative 3, 0), (0, negative 2) and (3, negative 4).
What is the equation of the graphed line written in standard form?

2x + 3y = –6
2x + 3y = 6
y equals negative StartFraction 2 Over 3 EndFraction x minus 2.
y equals StartFraction 2 Over 3 EndFraction x minus 2.

Answer:

D' (-6, -2)

Step-by-step explanation:

3 units up means y will increase by 3

y = -5 + 3 = -2

x will stay the same

x = -6

New coordinate

D' (-6, -2)

To find JL

We will first find the value of x

JK = KL

2(x+6) = 3x + 8

2x + 12 = 3x+ 8

subtract 2x from both-side of the equation

12 = 3x-2x + 8

12 = x+ 8

subtract 8 from both-side of the equation

12 - 8 = x+ 8 - 8

4 = x

x=4

JK = 2(x+ 6)

substitute x = 4 into the above

JK = 2(4+6)

JK=2(10)

JK=20

KL =3x+8

substitute x=4 into the above

KL = 3(4) + 8

KL = 12 + 8

KL=20

JL = JK + KL

= 20 + 20

= 40

JL = 40 units

This is an example of interviewer bias where the gender of the interviewer may have impacted the replies of the unmarried males in the poll.

This is an example of interviewer bias, where the gender of the interviewer may have influenced the responses of the unmarried men in the survey. The results may not accurately reflect the true opinions of the participants as their answers could have been affected by their desire to impress or please the interviewer.

This situation is an example of response bias, specifically interviewer bias, which occurs when the respondent's answer is influenced by the gender or characteristics of the interviewer, rather than their true preferences or opinions.

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Answer:

i think 75% is the answers

Step-by-step explanation:

please mark me as brainlest

The minimum sample size needed to estimate the population proportion with a margin of error of 0.05 or less at 95% confidence is 385.

To calculate the minimum sample size, we need to use the formula:

\(n= \frac{z^2 * p * (1-p)}{E^2}\)

Where:

n is the sample size

z is the z-score corresponding to the desired level of confidence (95% confidence level corresponds to a z-score of 1.96)

p is the estimated population proportion (since we have no reasonable estimate, we use 0.5, which gives the largest possible sample size)

E is the desired margin of error (0.05)

Plugging in the values, we get:

\(n = \frac {(1.96^2 * 0.5 * (1-0.5))} { 0.05^2 }= 384.16\)

Since we cannot have a fractional sample size, we round up to the nearest whole number to get a minimum sample size of 385.

Therefore, we need to sample at least 385 voters in order to estimate the population proportion with a margin of error of 0.05 or less at 95% confidence.

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Answer:

10 feets

Step-by-step explanation:

Given that:

Angle, θ = 4π/3

Radius, r = 2.5 feets

To obtain how Far Reagan traveled, we calculate the Length of the arc, s

s = r*θ

s = 2.5 feets * 4π/3

s = 10π/3

s = 10.4719

To the nearest foot ; distance traveled by Reagan is 10 feets

The answer is correct, we can plot both triangles on a Coordinate plane and visually inspect the result. If we plot triangle ABC with vertices A(-3, 3), B(0, 4), and C(-3, 0), and then plot the image triangle A'B'C' with vertices A'(-3, -1), B'(0, 0), and C'(-3, -4), we can see that the image is a translation of the original triangle down by 4 units.

To determine the coordinates of the vertices of the image of triangle ABC after being translated 4 units down, we need to subtract 4 from the y-coordinates of each vertex. This is because a translation is a type of transformation that moves each point of a figure a certain distance in a certain direction.

So, starting with the preimage of triangle ABC with vertices at A(-3, 3), B(0, 4), and C(-3, 0), we can find the image by subtracting 4 from the y-coordinates:

A'(-3, 3 - 4) = A'(-3, -1)

B'(0, 4 - 4) = B'(0, 0)

C'(-3, 0 - 4) = C'(-3, -4)

Therefore, the coordinates of the vertices for the image after the translation are A'(-3, -1), B'(0, 0), and C'(-3, -4).

So, the correct option is A) A′(−3, −1), B′(0, 0), C′(−3, −4).

To check if the answer is correct, we can plot both triangles on a coordinate plane and visually inspect the result. If we plot triangle ABC with vertices A(-3, 3), B(0, 4), and C(-3, 0), and then plot the image triangle A'B'C' with vertices A'(-3, -1), B'(0, 0), and C'(-3, -4), we can see that the image is a translation of the original triangle down by 4 units.

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On solving the provided question, we can say that the probability of both = 4/9*1/3 or 4/27

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

18 marbles  = 8 are blue and 6 are red .

probability  a blue marble = 8/18 = 4/9.

probability of getting a red marble i=6/18 = 1/3.

probability of both = 4/9*1/3 or 4/27

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A circle has a central angle measuring \(\frac{3\pi }{4}\) radians that intersects an arc of length 45 in. So, the length of the radius of the circle is 19.1 in.

Radius is defined as twice the length of the diameter of the circle.

A circle has a Central angle \(= \frac{3\pi }{4}\) radians

So, Length of the arc \(= (\frac{3\pi }{4} )(radius)\)

                                 \(=45\) \(in\)

Radius \(= 45\) \(in*4\) \(/\) \((3\pi )\)  

Radius \(= 45 *4\) \(/\) \((3 * 3.14)\) \(in\)

Radius \(= 19.1\) \(in\)

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Answer:

2 x -2 + 5

-4 + 5

1 = y

Step-by-step explanation:

Plug in the value of X and do the equation.

Answer:

y = 1

Step-by-step explanation:

When x = -2 :

y = 2x + 5

y = 2(-2) + 5

y = -4 + 5

y = 1

Answer:

Measure of each angle = 36°

Step-by-step explanation:

\((2x - 30) \degree = (x + 3) \degree \\ (alternate \: \angle \: s) \\ \\ 2x - 30 = x + 3 \\ \\ 2x - x = 30 + 3 \\ \\ x = 33 \\ \\ (2x - 30) \degree \\ = (2 \times 33 - 30)\degree \\ = (66 - 30)\degree \\ = 36 \degree \\ \\ (x + 3) \degree \\ = (33 + 3) \degree \\ = 36\degree\)

The value of x will be equal to 33.

According to the alternate exterior angle theorem, the exterior angles created on either side of a transversal when two parallel lines intersect are equal. The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

Given angles (2x - 30)°  and (x+3)° are alternate exterior angles so these two angles will be equal to equal to each other.

(2x - 30)° = (x+3)°

Separate all the like terms and calculate the value of x:-

(2x - 30)° = (x+3)°

2x - x = 33 + 3

x = 33

Therefore, the value of x will be equal to 33.

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The perimeter of the larger screen will be 45 inches.

What is perimeter?

The complete circumference of a shape is referred to as its perimeter. It is the length of any geometric shape with a two-dimensional boundary or outline. Depending on the measurements, the perimeter of multiple figures may be equivalent.

The ratio of the corresponding side lengths of two similar computer

screens is 13:15.

Let the side of smaller screen = 13x

So, the side of larger screen = 15x

Since, the shape of the screen is in square, the perimeter of screen will be 4× side.

We know that, perimeter of the smaller screen is 39 inches.

So, perimeter of smaller screen = 39

                     4 × 13x = 39

                     x = 39/52

                     x = 3/4

Hence, side of smaller screen = 13 × 3/4 = 39/4 inches

and, side of larger screen = 15 × 3/4 = 45/4 inches.

Now, the perimeter of larger screen = 4 × 45/4

                                                            = 45 inches.

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The  probability is 102.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Moderate Success     0.3 102.0 120 208.0

Failure                        0.4 102.0 10.0 100

Now, the probability

E(x) = \(\sum^3_i\)= \(S_iP_i\)

      = 102 x 0.3 + 102 x 0.3 + 102 x 0.4

      = 30.6 + 30.6 + 40.8

      = 102

Hence, the probability is 102.

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Answer:

Step-by-step explanation:

In the rectangular complex number -9√3 + 9i, which has a standard form a + bi, the a = -9√3 and the b = 9. We need this in polar form (r, θ) where

\(r=\sqrt{a^2+b^2}\) and filling in:

\(r=\sqrt{(-9\sqrt{3})^2+(9)^2 }\) (notice we do not put the i in there with the 9).

\(r=\sqrt{243+81}\) so

r = 18. Now let's move on to the angle, which is a little more difficult. The angle is found in the inverse tangent ratio:

\(tan^{-1}(\frac{b}{a})\) so filling that in, we have:

\(tan^{-1}(\frac{9}{-9\sqrt{3} })=\frac{1}{-\sqrt{3} }\) Since tangent is the side opposite over the side adjacent, y is positive and x is negative in the second quadrant. This is a 30 degree angle in QII, which has a reference angle of 150 degrees. This angle in radians is \(\frac{5\pi}6}\), so the polar form of that number is (18, \(\frac{5\pi}{6}\))

Answer:

its d

Step-by-step explanation:

i guessed lol

When the person is 42 feet away from the jetski, the sound intensity is approximately 87.1 decibels.

To answer this question, we need to use the inverse square law of sound intensity, which states that the intensity of a sound decreases with the square of the distance from the source.
1. Identify the initial distance (D1) and initial decibel level (L1): In this case, D1 = 12 feet and L1 = 100 decibels.
2. Identify the final distance (D2): In this case, D2 = 42 feet.
3. Calculate the ratio of the initial distance to the final distance: \(R = (D1 / D2)^2\)

\(= (12 / 42)^2\)

\(= (2 / 7)^2\)

\(= 4 / 49.\)
4. Convert the initial decibel level to intensity (I1): The intensity of a sound is proportional to \(10^(L1/10).\)

\(So, I1 = 10^(100/10) = 10^10.\)
5. Calculate the final intensity (I2) using the ratio of distances: I2 = I1 * R

\(= 10^10 * (4 / 49).\)
6. Convert the final intensity back to decibels (L2): L2 = 10 * log10(I2) = \(10 * log10(10^10 * 4 / 49).\)
7. Calculate the final decibel level: L2 ≈ 10 * (10 - log10(49/4)) = 10 * (10 - 1.29)

= 87.1 decibels.

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Answer:

7.48 X 10^4

Step-by-step explanation:

Hope it helps!!

Answer:

Step-by-step explanation:

LHS

tan θ * cot θ

= sin θ / cos θ * cos θ / sinθ

= 1

RHS

sec θ * cos θ

= 1/cos θ * cos θ

= 1

Therefore LHS = RHS proved.

The Wilcoxon signed-rank test is employed to see if there is a substantial difference between two related samples. Here the new cognitive therapy group and placebo group are related samples as they both belong to the same sample of cognitive therapy's study. The Wilcoxon signed-rank test is performed on the rank-based data as the data is not normally distributed. Following is the calculation for Wilcoxon’s signed rank test:The null hypothesis for the Wilcoxon signed-rank test is that there is no difference between the new cognitive therapy and placebo treatments. While the alternative hypothesis is that there is a difference between the two treatments.

The Wilcoxon signed-rank test is performed as follows:
Rank all the data, with the lowest value being ranked 1 and the highest value being ranked 12.
Calculate the difference between the new cognitive therapy and placebo group scores.
Take the absolute values of the differences.
Rank the differences in ascending order and ignore the signs.
Calculate the sum of the ranks of the new cognitive therapy group.
Calculate the test statistic T.
For this dataset, the calculations of the Wilcoxon signed-rank test are as follows:
Data Ranked (New therapy) Difference Absolute Difference Ranked Differences + Rank Therapy Differences - Rank Placebo 5 1 4 3 4 4 6 2 4 4 2 2 4 4 8 7 1 1 1 12 10 2 2 3 5 1 6 13 12 1 8 7 7 4 4 1 5 5 5 1 14 13 1 2 1 15 7 8 7 7 5 9 10 3 5 8 56 12 44 12 12 11 7 Total 49
Calculating T:

\($$T =\) \(\frac{Total\ of\ positive\ ranks - \frac{n(n+1)}{4}}{\sqrt{\frac{n(n+1)(2n+1)}{24}}}$$\)

Here, n is the number of pairs, which is 12.
T = 3.52
Using the Wilcoxon signed-rank test table, the critical value at the 0.05 level for n = 12 is 18.
Since T (3.52) is less than the critical value (18), the null hypothesis cannot be rejected.
There is no evidence to suggest that there is a difference between the new cognitive therapy and placebo treatments.

If x < y, then all of the following are true except - x < -y.

What is inequality?

A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.

A statement that demonstrates the connection between two (or more) phrases containing one of the following five signs:,, >,, is known as an inequality. An inequality can be true or untrue, just like an equation. The statement "34 - 12 > 5 + 2" is accurate. A false statement is made when 1 + 3 6 - 2.

The value remains the same after addition, multiplication, and division.

However, if you reverse the sign, the inequality direction in this instance will be >; otherwise, that is not true.

For example,

2 < 3

-2 < -3 is not true.

Because -2 is greater than -3.

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Answer:-28

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (3a, 0 ) and (x₂, y₂ ) = (0, 3b )

m = \(\frac{3b-0}{0-3a}\) = \(\frac{3b}{-3a}\) = - \(\frac{b}{a}\)

the line crosses the y- axis at (0, 3b ) ⇒ c = 3b

y = - \(\frac{b}{a}\) x + 3b ← equation of line

to show that (a, 2b ) lies on the line , substitute x = a into the equation and if y = 2b then the point lies on the line

y = - \(\frac{b}{a}\) (a) + 3b = - b + 3b = 2b

then the line passes through the point (a, 2b )

Answer:

X = The number of hours Joey worked (C)

Step-by-step explanation:

$25 is the fee per hour worked. x is the amount of hours worked. added onto this total is another flat $75 fee for the whole visit, making the equation $25 multiplied by the number of hours worked, plus 75.

Answer: None of these

Step-by-step explanation:

12-4=8

8 feet

Answer: b you got it

(a) A monotonic transformation of a utility function refers to a transformation that preserves the relative ranking of utility levels but does not change the underlying preferences. It involves applying a strictly increasing function to the original utility function.

(b) The indifference curves for utility levels u(x1, x2) = 10, u(x1, x2) = 20, and u(x1, x2) = 30 can be drawn based on the utility function u1(x1, x2) = 6x1 + 9x2. These curves represent combinations of goods (x1, x2) that provide the same level of utility.

(c) Similarly, the indifference curves for utility levels u(x1, x2) = 10, u(x1, x2) = 20, and u(x1, x2) = 30 can be drawn based on the utility function u2(x1, x2) = 2x1 + 3x2.

(d) u1(x1, x2) is a monotonic transformation of u2(x1, x2) because it involves multiplying the utility function u2 by a positive constant. Both utility functions describe the same preferences as they represent different linear transformations of the same underlying preferences, resulting in parallel but equally informative indifference curves.

(a) A monotonic transformation of a utility function is a transformation that does not alter the preferences of an individual. It involves applying a strictly increasing function to the original utility function. This transformation preserves the ranking of utility levels, meaning that if one combination of goods gives higher utility than another in the original function, it will still give higher utility in the transformed function.

b) For the utility function u1(x1, x2) = 6x1 + 9x2, we can draw indifference curves for utility levels u(x1, x2) = 10, u(x1, x2) = 20, and u(x1, x2) = 30. These curves represent all the combinations of goods x1 and x2 that provide the same level of utility according to the utility function u1.

(c) Similarly, for the utility function u2(x1, x2) = 2x1 + 3x2, we can draw indifference curves for utility levels u(x1, x2) = 10, u(x1, x2) = 20, and u(x1, x2) = 30. These curves represent the combinations of goods x1 and x2 that provide the same level of utility according to the utility function u2.

(d) u1(x1, x2) is a monotonic transformation of u2(x1, x2) because it involves multiplying the utility function u2 by a positive constant. Both utility functions describe the same preferences as they represent different linear transformations of the same underlying preferences. The indifference curves for both utility functions are parallel but equally informative, meaning they represent the same ranking of utility levels. Therefore, u1(x1, x2) and u2(x1, x2) can describe the same preferences.

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Answer: X = 1/7

Step-by-step explanation:

37x = 9x + 4

subtract 9x to both sides

28x = 4

now divide by 28

x = 4/28

simplified its

x = 1/7

Answer:

28x=4

x=1/7

Step-by-step explanation:

First you would make simplyfiy the expression so that you would have x on one  side, when you do that you will get 28x=4. When simplyfied you will get 1/7.

Answer

157

Step-by-step explanation:

since the diameter is 2 times the length of the radius so you multiply 78.5 by 2 = 157

Answer:

We can use Variance or Standard deviation.

Step-by-step explanation:

These two measure is used to describe the variability of the data.