ASAP GIVING BRAINLYIEST

Which of the following is true?

|−4| < 3
|−4| < |3|
|−3| < −4
|−3| < |−4|

The given statement is False. A test statistic based on point estimation is not used to construct the decision rule which defines the rejection region.

In hypothesis testing, a test statistic is calculated using sample data and a specific hypothesis to assess the strength of evidence against the null hypothesis. The decision rule, which determines whether to reject or fail to reject the null hypothesis, is based on the test statistic's distribution under the null hypothesis, rather than the point estimate itself.

The construction of the decision rule involves selecting a significance level (alpha), which represents the probability of rejecting the null hypothesis when it is actually true. The rejection region is determined based on the chosen significance level and the distribution of the test statistic. If the calculated test statistic falls within the rejection region, the null hypothesis is rejected; otherwise, it is not rejected.

Point estimation, on the other hand, is used to estimate an unknown parameter of interest, such as the population mean or proportion, based on sample data. It involves calculating a single value (point estimate) that represents the best guess for the parameter value. The point estimate is not directly involved in constructing the decision rule or defining the rejection region in hypothesis testing.

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False. A test statistic based on point estimation is not used to construct the decision rule that defines the rejection region.

The process of hypothesis testing involves constructing a decision rule to determine whether to accept or reject a null hypothesis based on sample data. The decision rule is typically defined using a critical region or rejection region, which is a range of values for the test statistic.

Point estimation, on the other hand, is a method used to estimate an unknown population parameter based on sample data. It involves calculating a single value (point estimate) that serves as an estimate of the population parameter.

While point estimation and hypothesis testing are both important concepts in statistics, they serve different purposes. Point estimation is used to estimate population parameters, whereas hypothesis testing involves making decisions based on sample data.

The decision rule for hypothesis testing is typically constructed based on the significance level (alpha) and the distribution of the test statistic, such as the t-distribution or the standard normal distribution. The test statistic is calculated using sample data and compared to critical values or calculated p-values to determine whether to reject the null hypothesis.

Therefore, the statement that a test statistic based on point estimation is used to construct the decision rule defining the rejection region is false.

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Digby Corporation's retained earnings for the midyear on July 31st were $15.959 million.

The retained earnings refer to the portion of the company's accumulated profits that have not been distributed to common stockholders.

We can compute the retained earnings are the difference between the total assets and total liabilities and common stock since common stock plus retained earnings are equal to stockholders' equity.

Digby Corporation

Midyear ended July 31st

Cash of $2.010 million

Total Assets = $43.091 million

Total Liabilities of $25.862 million

Total Common Stock of $1.270 million

Total liabilities and common stock = $27.132 million ($25.862 + $1.270)

Total Assets = $43.091 million

Less total liabilities and common stock $27.132 million

Retained earnings = $15.959 million ($43.091 - $27.132)

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The solution to the provided differential equation with the initial condition y(0) = 5 and u as a step change of unity is y = -2

The provided differential equation is: \(\[\frac{{dy}}{{dt}} = y + 2u\]\) with the initial condition: y(0) = 5 where u is a step change of unity.

To solve this differential equation, we can use the method of integrating factors.

First, let's rearrange the equation in the standard form:

\(\[\frac{{dy}}{{dt}} - y = 2u\]\)

Now, we can multiply both sides of the equation by the integrating factor, which is defined as the exponential of the integral of the coefficient of y with respect to t.

In this case, the coefficient of y is -1:

Integrating factor \(} = e^{\int -1 \, dt} = e^{-t}\)

Multiplying both sides of the equation by the integrating factor gives:

\(\[e^{-t}\frac{{dy}}{{dt}} - e^{-t}y = 2e^{-t}u\]\)

The left side of the equation can be rewritten using the product rule of differentiation:

\(\[\frac{{d}}{{dt}}(e^{-t}y) = 2e^{-t}u\]\)

Integrating both sides with respect to t gives:

\(\[e^{-t}y = 2\int e^{-t}u \, dt\]\)

Since u is a step change of unity, we can split the integral into two parts based on the step change:

\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt + 2\int_{t}^{{\infty}} 0 \, dt\]\)

Simplifying the integrals gives:

\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt + 0\]\)

\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt\]\)

Evaluating the integral on the right side gives:

\(\[e^{-t}y = 2[-e^{-t}]_{{-\infty}}^{t}\]\)

\(\[e^{-t}y = 2(-e^{-t} - (-e^{-\infty}))\]\)

Since \(\(e^{-\infty}\)\) approaches zero, the second term on the right side becomes zero:

\(\[e^{-t}y = 2(-e^{-t})\]\)

Dividing both sides by \(\(e^{-t}\)\) gives the solution: y = -2

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The coordinates of the vertices of the image of the trapezoid are A'(x, y) = (- 4, 1), B'(x, y) = (- 2, 1), C'(x, y) = (- 5 / 2, 5 / 2) and D'(x, y) = (- 7 / 2, 5 / 2).

In this question we have a representation of a trapezoid, whose image has to be generated by a kind of rigid transformation known as dilation, whose equation is described below:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]

Where:

If we know that k = 1 / 2, A(x, y) = (- 5, - 2), B(x, y) = (- 1, - 2), C(x, y) = (- 2, 1), D(x, y) = (- 4, 1), O(x, y) = (- 3, 4), then the coordinates of the vertices of the image are:

Point A'

A'(x, y) = O(x, y) + k · [A(x, y) - O(x, y)]

A'(x, y) = (- 3, 4) + (1 / 2) · [(- 5, - 2) - (- 3, 4)]

A'(x, y) = (- 3, 4) + (1 / 2) · (- 2, - 6)

A'(x, y) = (- 3, 4) + (- 1, - 3)

A'(x, y) = (- 4, 1)

Point B'

B'(x, y) = O(x, y) + k · [B(x, y) - O(x, y)]

B'(x, y) = (- 3, 4) + (1 / 2) · [(- 1, - 2) - (- 3, 4)]

B'(x, y) = (- 3, 4) + (1 / 2) · (2, - 6)

B'(x, y) = (- 3, 4) + (1, - 3)

B'(x, y) = (- 2, 1)

Point C'

C'(x, y) = O(x, y) + k · [C(x, y) - O(x, y)]

C'(x, y) = (- 3, 4) + (1 / 2) · [(- 2, 1) - (- 3, 4)]

C'(x, y) = (- 3, 4) + (1 / 2) · (1, - 3)

C'(x, y) = (- 3, 4) + (1 / 2, - 3 / 2)

C'(x, y) = (- 5 / 2, 5 / 2)

Point D'

D'(x, y) = O(x, y) + k · [D(x, y) - O(x, y)]

D'(x, y) = (- 3, 4) + (1 / 2) · [(- 4, 1) - (- 3, 4)]

D'(x, y) = (- 3, 4) + (1 / 2) · (- 1, - 3)

D'(x, y) = (- 3, 4) + (- 1 / 2, - 3 / 2)

D'(x, y) = (- 7 / 2, 5 / 2)

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Answer:

67 degrees, the 4th choice.

Step-by-step explanation:

As you may know, sum of angles in a triangle is 180 degrees. The best thing about this question here, is that 2 of the angles are already given. Now, all you need to do is add the two angles and subtract the result from 180.

You can also use the process of elimination to start.

First off, you can eliminate the second answer, sum of angles in triangle is 180, and 293 is way to much.

7 degrees is way too little, and it can be found by common sense, and knowing that 7+60+53 is already gonna be less than 180. (Didnt mean to be rude though. lol)

The only options left are 113 degrees and 67 degrees. now, lets use the actual formula of sum of angles in triangle.

60+53=113

180-113=67.

So, its 67 degrees! Process of elimination can help, but if you need proof for your answer, do not do that work in front of your teachers, only show the actual proof.

Hope you learned and liked my explanation! If so, please leave a rating and thanks (and hopefully brainliest!!) Have a great day!

Freud is a stage theorist. Sigmund Freud, the renowned Austrian neurologist and psychoanalyst, is widely recognized as one of the pioneers in the field of psychoanalysis.

He proposed a developmental theory that included psychosexual stages of development. According to Freud, human development progresses through distinct stages, each characterized by a specific focus on different erogenous zones. These stages include the oral stage, stage, phallic stage, latency stage, and genital stage. Freud believed that the way individuals navigate these stages influences their personality and psychological well-being in adulthood.

Although Freud's stage theory has been critiqued and modified over time, his ideas regarding the importance of early childhood experiences and unconscious processes have had a profound impact on psychology and continue to shape our understanding of human development.

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Answer:

============================================================

Explanation:

Apply the distance formula to find the length of segment WX

W = (x1,y1) = (-10,4)

X = (x2,y2) = (-3, -1)

\(d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-10-(-3))^2 + (4-(-1))^2}\\\\d = \sqrt{(-10+3)^2 + (4+1)^2}\\\\d = \sqrt{(-7)^2 + (5)^2}\\\\d = \sqrt{49 + 25}\\\\d = \sqrt{74}\\\\d \approx 8.6023253\\\\\)

Segment WX is exactly \(\sqrt{74}\) units long which approximates to roughly 8.6023253

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

Now let's find the length of segment XY

X = (x1,y1) = (-3, -1)

Y = (x2,y2) = (-5, 11)

\(d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-(-5))^2 + (-1-11)^2}\\\\d = \sqrt{(-3+5)^2 + (-1-11)^2}\\\\d = \sqrt{(2)^2 + (-12)^2}\\\\d = \sqrt{4 + 144}\\\\d = \sqrt{148}\\\\d = \sqrt{4*37}\\\\d = \sqrt{4}*\sqrt{37}\\\\d = 2\sqrt{37}\\\\d \approx 12.1655251\\\\\)

Segment XY is exactly \(2\sqrt{37}\) units long which approximates to 12.1655251

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

Lastly, let's find the length of segment WY

W = (x1,y1) = (-10,4)

Y = (x2,y2) = (-5, 11)

\(d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-10-(-5))^2 + (4-11)^2}\\\\d = \sqrt{(-10+5)^2 + (4-11)^2}\\\\d = \sqrt{(-5)^2 + (-7)^2}\\\\d = \sqrt{25 + 49}\\\\d = \sqrt{74}\\\\d \approx 8.6023253\\\\\)

We see that segment WY is the same length as WX.

Because we have exactly two sides of the same length, this means triangle WXY is isosceles.

Answer:

Step-by-step explanation:

Use the Law of Sin:     \(\frac{a}{sinA} = \frac{b}{sinB} =\frac{c}{sinC}\)

\(\frac{b}{sin 15} = \frac{2}{sin105}\)

Cross Multiply so  sin105 x b = 2 x sin15

divide both sides by sin105 to get. b = (2 x sin15)/sin105

b = (0.51763809)/(0.9659258260

b = 0.535898385.  round to nearest tenth, b = 0.5

The owner of the bookstore sells the used books for $6 each. J.

The price of a used book in the bookstore we need to calculate how much the owner is selling the books for.

The owner of the bookstore buys the used books from customers for $1.50 each.

The owner resells the used books for we need to multiply the cost price by 400%:

$1.50 x 400% = $1.50 x 4

= $6

The markup percentage for the used books is very high.

The owner is reselling the used books for four times the amount he paid for them.

This is a common practice in the used book industry as it allows the owner to make a profit on the books they sell.

It is important for customers to be aware of the markup and shop around for the best prices.

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Answer:

The correct answer is 44°

Answer:

C: ratio of the horizontal change to the vertical change of a line

Step-by-step explanation:

A and B are correct.

C is incorrect.

Answer:

6400

Step-by-step explanation:

We have 1 + 3 + 5 + ... + 155 + 157 + 159.

We can use Gauss's strategy.

Since we are adding 80 numbers, there are 40 pairs. Each pair adds up to 1 + 159 = 160. (Notice that 3 + 157, 5 + 155 = 160)

Thus, because there are 40 pairs and each pair adds up to 160, we have 160 * 40 = 6400.

I hope this helps!

New York had the larger population with 1.9 x 10⁷ people. The correct option is B.

To compare the populations of the states, we need to convert all the populations to the same unit of measurement. In this case, all the populations are given in terms of millions (10⁶).

We can see that New York's population is 1.9 x 10⁷, which means 19 million people. Georgia's population is given as 9.6 x 10⁶, which is 9.6 million people. Comparing these two values, it is evident that New York has a larger population than Georgia.

Check the populations of the other states:

Alaska: 7.1 x 10⁵ = 0.71 million people

Wyoming: 5.6 x 10⁵ = 0.56 million people

Idaho: 1.5 x 10⁶ = 1.5 million people

New York's population of 19 million is much larger than any of the other states listed, making it the state with the largest population among the options provided. The correct option is B.

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Complete question:

Based on the 2010 census, the population of Georgia was 9.6 x 10^6 people. Which state had a larger population? A. Alaska: 7.1 x 10^5 B. New York: 1.9 x 10^7 C. Wyoming: 5.6 x 10^5 D. Idaho: 1.5 x 10^6

Step-by-step explanation:

so here the domain is the abstract background function so here the domain remains 45 and the angle preparing range is 18

Answer:

all real values

Step-by-step explanation:

This is a line and the range of this line is all real values

Answer:

5.1

Step-by-step explanation:

14^-2*1000

Answer:

\(-64\)

Step-by-step explanation:

If I represent the worker's position relative to the surface of the earth then

if we let Δy = the change of position.

\(Δy = 0 -64 \\ Δy = -64\)

Answer:

y= -3/4 x - 6

Step-by-step explanation:

y-(-3) = -3/4 (x-(-4)

y + 3 = -3/4 (x+4)

y + 3 = -3/4 x - 3

y = -3/4 x - 3 -3

y = -3/4 x - 6

Answer:

- \(\frac{2}{7}\)

Step-by-step explanation:

Answer:

Slope: -2/7

Step-by-step explanation:

Points: (-4, -2) & (3, -4)

Slope formula: second y - first y / second x - first x

-4 - (-2) = -2

3 - (-4) = 7

-2/7

Slope is -2/7

make sure to put the negative sign because that is important

Answer:

6

Step-by-step explanation:

These are similar triangles, which means the side lengths are proportional!

30:5=6, so there is a scale factor of six.

36/6 is six!

Answer:

PR = 6

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion , that is

\(\frac{AC}{PR}\) = \(\frac{BC}{QR}\) ( substitute values )

\(\frac{36}{PR}\) = \(\frac{48}{8}\) = 6 ( multiply both sides by PR )

6 PR = 36 ( divide both sides by 6 )

PR = 6

Answer:

Step-by-step explanation:

Sure! Here’s how to solve the equation step by step:

Combine like terms: 5^2 - 9 - 3x^2 + 4 = 27 becomes 25 - 9 - 3x^2 + 4 = 27

Simplify: 25 - 9 - 3x^2 + 4 = 27 becomes 20 - 3x^2 = 27

Subtract 20 from both sides: 20 - 3x^2 - 20 = 27 - 20 becomes -3x^2 = 7

Divide both sides by -3: (-3x^2)/(-3) = (7)/(-3) becomes x^2 = -7/3

Take the square root of both sides: sqrt(x^2) = sqrt(-7/3) becomes x = sqrt(-7/3) or x = -sqrt(-7/3)

So the solutions are x = sqrt(-7/3) or x = -sqrt(-7/3).

Received message. Sure! Here's how to solve the equation step by step: 1. Combine like terms: 5^2 - 9 - 3x^2 + 4 = 27 becomes 25 - 9 - 3x^2 + 4 = 27 2. Simplify: 25 - 9 - 3x^2 + 4 = 27 becomes 20 - 3x^2 = 27 3. Subtract 20 from both sides: 20 - 3x^2 - 20 = 27 - 20 becomes -3x^2 = 7 4. Divide both sides by -3: (-3x^2)/(-3) = (7)/(-3) becomes x^2 = -7/3 5. Take the square root of both sides: sqrt(x^2) = sqrt(-7/3) becomes x = sqrt(-7/3) or x = -sqrt(-7/3) So the solutions are x = sqrt(-7/3) or x = -sqrt(-7/3).

Answer:

k= 1    = z+2

    3

Step-by-step explanation:

Let's solve for k.

6k−2z=12

Step 1: Add 2z to both sides.

6k−2z+2z=12+2z

6k=2z+12

Step 2: Divide both sides by 6.

6k

6

=

2z+12

6

k=

1

3

z+2

Answer:

At least 2 fish were left alive in the tank

Step-by-step explanation:

45 x 2/5 = 18

18-7 = 11

11 x 0.2 = 2.2

Answer:

​3x−1

Step-by-step explanation:

1 Split the second term in 6{x}^{2}+x-16x

​2

​​ +x−1 into two terms.

\frac{6{x}^{2}+3x-2x-1}{4{x}^{2}-1}

​4x

​2

​​ −1

​

​6x

​2

​​ +3x−2x−1

​​  

2 Factor out common terms in the first two terms, then in the last two terms.

\frac{3x(2x+1)-(2x+1)}{4{x}^{2}-1}

​4x

​2

​​ −1

​

​3x(2x+1)−(2x+1)

​​  

3 Factor out the common term 2x+12x+1.

\frac{(2x+1)(3x-1)}{4{x}^{2}-1}

​4x

​2

​​ −1

​

​(2x+1)(3x−1)

​​  

4 Rewrite 4{x}^{2}-14x

​2

​​ −1 in the form {a}^{2}-{b}^{2}a

​2

​​ −b

​2

​​ , where a=2xa=2x and b=1b=1.

\frac{(2x+1)(3x-1)}{{(2x)}^{2}-{1}^{2}}

​(2x)

​2

​​ −1

​2

​​  

​

​(2x+1)(3x−1)

​​  

5 Use Difference of Squares: {a}^{2}-{b}^{2}=(a+b)(a-b)a

​2

​​ −b

​2

​​ =(a+b)(a−b).

\frac{(2x+1)(3x-1)}{(2x+1)(2x-1)}

​(2x+1)(2x−1)

​

​(2x+1)(3x−1)

​​  

6 Cancel 2x+12x+1.

\frac{3x-1}{2x-1}

​2x−1

​

​3x−1

​​  

Answer:

Approximately 15.05 ft

Step-by-step explanation:

You need to use tangent for this question.

Since tan θ = \(\frac{Opposite}{Adjacent}\)

to find the Opposite, we need to rearrange the equation to:

Adjacent × tan θ = Opposite.

So if you insert 62 for θ and 8 feet for Adjacent, you will get:

8 × tan(62) = Opposite.

and you will get approximately 15.05 feet for your Opposite side

Answer:

It will travel

\(33 \frac{1}{4} \: miles\)

in 45 minutes.

Step-by-step explanation:

We can solve using proportions.

\( \frac{ 2\frac{1}{2} \: miles}{ 3\frac{1}{3} \: minutes} = \frac{x}{45 \: minutes} \\ \\ \frac{ 3\frac{1}{3} x}{ 3\frac{1}{3} } = \frac{ 112\frac{1}{2} }{ 3\frac{1}{3} } \\ \\ x = 33\frac{3}{4} \)

The probability that the sum of your rolls is 5 or higher is 13/18

In a roll of two fair die, we have the following parameters:

So, the probability is:

P = 26/36

Simplify

P = 13/18

Hence, the probability that the sum of your rolls is 5 or higher is 13/18

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