Factinate claims that 84% of teenagers think highly of their mother. To investigate this claim, a school psychologist selects a random sample of 150 teenagers and finds that 135 think highly of their mother. Does this data provide convincing evidence that the true proportion of teens who think highly of their mother is greater than 0. 84

A node or event with a duration of 0 days is a b. milestone

A milestone refers to an important event in a project that has a duration of zero days. It signifies the completion of a significant phase or task within the project. Milestones are numbers placed on roads, such as roads, railroads, canals, or borders. They can show distances to cities, towns, and other places or regions; or they can set their work on track with respect to a reference point.

They are found on the road, often by the roadside or in a warehouse area. They are also called mile markers (sometimes abbreviated MM), milestones, or mileposts (sometimes abbreviated MP). "mile point" is the term used for the medical field where distance is usually measured in kilometers rather than miles. "Distance marking" is a general term that has nothing to do with units.

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The statement "Because in a randomized controlled trial (RCT), the assignment is random, therefore there is no coverage bias---by definition" g is false because, it is important to consider both randomization and other factors when assessing the potential for bias in an RCT.

Random assignment in an RCT can help to reduce selection bias, but it does not guarantee the absence of coverage bias.

Coverage bias can occur if the participants who are enrolled in the trial do not represent the population to which the results will be generalized.

For example, if the trial only includes participants who are healthier or more compliant than the typical patient, the results may not be applicable to the broader population.

Therefore, it is important to consider both randomization and other factors when assessing the potential for bias in an RCT.

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Answer:

x = 25

Step-by-step explanation:

hyp/short leg

Compare large triangle to small triangle

x/15 = 15/9

multiply both sides by 15

x = 15/9 * 15

x = 25

Answer: The first one 5/10 is 0.5 or 50% 5÷10. The second one 5/100 is 0.05 or 500%. The third one 5/1000 is 0.005 or 5000%.

Step-by-step explanation:

All you have to do is divide and you do that for all of them. Also did you know quotient means the answer to a division question. Wow! Also, if you see that all I did was add another zero in the middle of the decimals is because That is Decimal Place value. Here is a picture of that just in case.  The last answer for the very bottom one is what I just said about decimal place value so here is the reflection: When dividing by tens using decimals always be sure to use place value. Thank you I was happy to help!

Answer:

i would say b

Step-by-step explanation: if they all slept 4 hours a night then all 9 would have a total of 36 and a night would be 1 so 36 to 1

The required length of the other leg is \($\sqrt{5}$\) cm. If we need to round to the nearest tenth, we get: \($b \approx 2.2$\) cm

Let's use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. So we have:

\($c^2 = a^2 + b^2$\)

where c is the length of the hypotenuse, a and b are the lengths of the legs.

We are given that the length of the hypotenuse is 3 cm and the length of one leg is 2 cm. Let's substitute these values into the equation above:

\($3^2 = 2^2 + b^2$\)

\($9 = 4 + b^2$\)

\($b^2 = 5$\)

\($b = \sqrt{5}$\)

So the length of the other leg is \($\sqrt{5}$\) cm. If we need to round to the nearest tenth, we get: \($b \approx 2.2$\) cm (rounded to one decimal place).

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The point which will be in function is f-'(x) is (1, -3).

We are given that;

The point (-3,1) is in the function f(x)

Now,

Function is a type of relation, or rule, that maps one input to specific single output.

A function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

To find the inverse of a function, we need to switch the inputs and outputs of the function.

In other words, if f(x) = y, then f^ {-1} (y) = x.

This means that if (-3, 1) is in the function f(x), then (1, -3) will be in the function f^ {-1} (x).

Therefore, by function answer will be (1, -3).

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Answer:

The largest angle is <B.

Because, AC is the longest and largest side of ∆ABC. Therefore, the angle opposite the largest side is also the largest.

This is a property in geometry.

Step-by-step explanation:

Please give me Brainlest!

Answer:

False

Step-by-step explanation:

It does not have an equal sign, therefore making it a false equation

ANSWER

842 boxes

EXPLANATION

In the morning, they unpacked 479 books.

In the afternoon, they unpacked 363 books.

To find out how many books were unpacked that day, we have to add the numbers that were unpacked in the morning and afternoon.

To solve the problem, we have to simply add, and we start by adding on the UNIT place value:

H T U

4 7 9

+3 6 3

8 4 2

That day, they unpacked 842 boxes.

47 = 2(k + 3) + 3(k - 3)

47 = 2k + 6 + 3k - 9

47 - 6 + 9 = 2k + 3k

56 - 6 = 5k

50 = 5k

k = 50/5

k = 10

Result k = 10

Answer:

Open circle at 3 going to the right.

Step-by-step explanation:

Let’s look at this.

first, let’s simplify the inequality. 2x +3-3>9-3

2x>6

x>3

since this is just a greater than or less than, it will be an open circle.

now that we have established that, we can see that x is BIGGER than 3. In that case, it will be an open circle at 3 going to the right.

Answer:

12

Step-by-step explanation:

Pythagoras theorem states that a^2+b^2=c^2

Therefore, 5^2=25 +p^2=P^2+2p+1

\(25+p^2=P^2+2p+1\\25=2p+1\\24=2p\\12=p\)

Hope this helps:) Have a good day!

Principal steps in the design phase are Design Strategy, System Architecture, User Interface, Database and File Specification and Program Design, The Major deliverables are System Specification.

- Phases are broad groupings of tasks.

- Steps are tasks (work to be performed).

- Techniques are ways to carry out tasks.

- Deliverables are the understanding (or materials) produced during task accomplishment.

- Each phase is itself composed of a series of steps, which rely upon techniques that produce deliverables (specific documents and files that provide understanding about the project).

Principal steps in the Design Phase:

Design Strategy

- Determining proper approach for acquiring

System architecture

- Describing basic hardware, software, and networking

User interface

- Developing system's overall structure, navigation, inputs, outputs, and screens

Database and file specifications

- Specifying data storage structures

Program Design

- Plans and outlines for each program to be written

So,

Principal steps in the Design phase are Design Strategy, System Architecture, User Interface, Database and File Specification and Program Design, The Major deliverables are System Specification.

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This study is an example of a repeated-measures design, also known as a within-subjects design. This type of design is often used to compare different conditions or treatments within the same group of participants.

In this study, the researchers are interested in comparing the mean force generated by the gluteus medius muscle in four different test positions.

By using a repeated-measures design, the researchers can control for individual differences in strength by testing each participant in all four positions. This increases the power of the study by reducing the amount of variability between participants. Additionally, it allows the researchers to use statistical methods that are more powerful than those used in between-subjects designs.

Overall, the repeated-measures design is useful when studying the effects of different treatments or conditions on the same group of participants. By controlling for individual differences and using statistical methods that are tailored to within-subjects designs, researchers can increase the sensitivity of their analyses and draw more accurate conclusions about the effects of different conditions on the outcome of interest.

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Answer:

610, 580, 550, 520, 490, 460, 430, 400, 370 It takes 9 months

Step-by-step explanation:

2: 1.50+x=π This problem is impossible.  This is because Pi is a number that goes for infinitiy so there is no answer for x.  This also means ∞ can also be an answer.

Answer:

1. 9

2.

Step-by-step explanation:

1. Mara has $640 in her bank account, she withdraws $30 each month. We don't know how many months will she withdraw until 370$. Let's write an expression first:

640 - 30x = 370

Now, subtract both sides by 640 to get -270:

-30x = -270

Last, divide both side by -30:

-30x = 270

x = 9

Now, we know she withdraws $30 for 9 months.

2. 2 + 4(3 - 2) = x

   This tells us that we do not know the answer until we solve it.

   2 + 4(3 - 2) = x

   2 + 12 - 8 = x

   6 = x

Answer:

If it says working for 23hrs then the answer is €204

Step-by-step explanation:

8×23=204

Using the Pythagorean Theorem again to find the length of X, Length of X = Hypotenuse² - Base²Length of X = `sqrt(277)`² - 9²Length of X = 277 - 81Length of X = `sqrt(196)`Length of X = 14 Therefore, the length of the other leg of the right triangle is 14 units.

Given that, One leg of the right triangle = 14Base of the right triangle = 9We are supposed to find the length of the other leg X in the right triangle. By using Pythagorean Theorem, we can calculate the length of X in the right triangle. Pythagorean Theorem states that "In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides".

According to Pythagorean Theorem,Hypotenuse² = Perpendicular² + Base²We have been given the perpendicular and base of the right triangle, so we can substitute the values in the above formula as follows: Hypotenuse² = Perpendicular² + Base²Hypotenuse² = 14² + 9²Hypotenuse² = 196 + 81Hypotenuse² = 277Therefore, the length of the Hypotenuse is `sqrt(277)` units.

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Answer: He planted 5/42 acres

Step-by-step explanation:

First, find the common of 7 and 6, which is 42

5/7 - 5/6

= 30/42 - 35/42

= -5/42

Answer:

True. Brainlyest plz

Answer:

-4

Step-by-step explanation:

I hope this helps! if it does please please mark as brainliest!

Answer:

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

Simplify the expression in below steps:

Answer:

\(32-60i\)

Step-by-step explanation:

Given expression:

\((2+\sqrt{-4})(3 +5i)(-4-i)\)

\(\textsf{Rewrite $\sqrt{-4}$ as $\sqrt{4 \cdot -1}$}:\)

\(\implies (2+\sqrt{4 \cdot -1})(3 +5i)(-4-i)\)

\(\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:\)

\(\implies (2+\sqrt{4}\sqrt{-1})(3 +5i)(-4-i)\)

\(\implies (2+2\sqrt{-1})(3 +5i)(-4-i)\)

\(\textsf{Apply imaginary number rule} \quad \sqrt{-1}=i:\)

\(\implies (2+2i)(3 +5i)(-4-i)\)

Multiply:

\(\implies (6+16i+10i^2)(-4-i)\)

\(\implies -24-6i-64i-16i^2-40i^2-10i^3\)

\(\implies -24-70i-56i^2-10i^3\)

\(\textsf{Apply imaginary number rule} \quad i^2=-1:\)

\(\implies -24-70i-56(-1)-10(-1)i\)

Simplify:

\(\implies -24-70i+56+10i\)

\(\implies 32-60i\)

17. The point on the line 2x - 4y = 3 that is closest to the origin is (-3/10, 3/20).

To solve this problem using Lagrange multipliers, we can define the distance squared function as D² = x² + y², which represents the square of the distance from any point (x, y) to the origin. The constraint equation is given by 2x - 4y = 3.

We set up the Lagrange function L = D² - λ(2x - 4y - 3), where λ is the Lagrange multiplier. To find the minimum of L, we take partial derivatives with respect to x, y, and λ and set them equal to zero:

∂L/∂x = 2x - 2λ = 0

∂L/∂y = 2y + 4λ = 0

∂L/∂λ = 2x - 4y - 3 = 0

Solving this system of equations gives x = -3/10, y = 3/20, and λ = -1/20.

Thus, the point on the line closest to the origin is (-3/10, 3/20).

To find the point on the line closest to the origin, we need to minimize the distance between any point on the line and the origin. This can be done by minimizing the distance squared function D² = x² + y².

However, we have a constraint given by the equation of the line 2x - 4y = 3.

By introducing the Lagrange multiplier λ, we create a Lagrange function L = D² - λ(2x - 4y - 3). Taking the partial derivatives and setting them equal to zero, we find the critical point that minimizes the Lagrangian function.

Solving the resulting system of equations gives us the coordinates of the point on the line closest to the origin.

In this case, the point is (-3/10, 3/20).

18. The point on the line y = 2x + 3 that is closest to (4,2) is (2, 7).

To solve this problem using Lagrange multipliers, we can define the distance squared function as D² = (x - 4)² + (y - 2)², which represents the square of the distance from any point (x, y) to (4, 2). The equation of the line is y = 2x + 3.

We set up the Lagrange function L = D² - λ(y - 2 - 2x - 3), where λ is the Lagrange multiplier. To find the minimum of L, we take partial derivatives with respect to x, y, and λ and set them equal to zero:

∂L/∂x = 2(x - 4) - 2λ = 0

∂L/∂y = 2(y - 2) - λ = 0

∂L/∂λ = y - 2x - 3 = 0

Solving this system of equations gives x = 2, y = 7, and λ = -2. Thus, the point on the line closest to (4, 2) is (2, 7).

To find the point on the line closest to the given point (4, 2), we need to minimize the distance between any point on the line and (4, 2).

This can be done by minimizing the distance squared function D² = (x - 4)² + (y - 2)².

The equation of the line y = 2x + 3 serves as the constraint. By introducing the Lagrange multiplier λ, we create a Lagrange function L = D² - λ(y - 2 - 2x - 3).

Taking the partial derivatives and setting them equal to zero, we find the critical point that minimizes the Lagrange function.

Solving the resulting system of equations gives us the coordinates of the point on the line closest to (4, 2). In this case, the point is (2, 7).

20. The point on the plane 4x + 3y + z = 2 that is closest to (1,-1,1) is (2/7, -4/7, 2/7).

To solve this problem using Lagrange multipliers, we can define the distance squared function as D² = (x - 1)² + (y + 1)² + (z - 1)², which represents the square of the distance from any point (x, y, z) to (1,-1,1). The equation of the plane is 4x + 3y + z = 2.

We set up the Lagrange function L = D² - λ(4x + 3y + z - 2), where λ is the Lagrange multiplier. To find the minimum of L, we take partial derivatives with respect to x, y, z, and λ and set them equal to zero:

∂L/∂x = 2(x - 1) - 4λ = 0

∂L/∂y = 2(y + 1) - 3λ = 0

∂L/∂z = 2(z - 1) - λ = 0

∂L/∂λ = 4x + 3y + z - 2 = 0

Solving this system of equations gives x = 2/7, y = -4/7, z = 2/7, and λ = 1/7. Thus, the point on the plane closest to (1,-1,1) is (2/7, -4/7, 2/7).

To find the point on the plane closest to the given point (1,-1,1), we need to minimize the distance between any point on the plane and (1,-1,1).

This can be done by minimizing the distance squared function D² = (x - 1)² + (y + 1)² + (z - 1)².

The equation of the plane 4x + 3y + z = 2 serves as the constraint. By introducing the Lagrange multiplier λ, we create a Lagrange function L = D² - λ(4x + 3y + z - 2).

Taking the partial derivatives and setting them equal to zero, we find the critical point that minimizes the Lagrange function.

Solving the resulting system of equations gives us the coordinates of the point on the plane closest to (1,-1,1). In this case, the point is (2/7, -4/7, 2/7).

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Answer:

n=3

Step-by-step explanation:

64^(1/3)

Note that the exponent 1/3 given stands for the third root of the integer.

64^(1/3) =4

Check: 4 x 4 x 4 = 64

(By comparison of 64^(1/3) to 64^(1/n) means n= 3)

∜(64^(1/3)) =∜(4) = 1.41421356

The real number is

All the roots are:

1.41421356

1.41421356i

−1.41421356

−1.41421356i

4 is not a perfect 4th power.

The claim made by the maker of one of the video games is not supported by the given confidence interval. The interval (1.5, 3.8) represents the estimated difference in the mean number of hours per week spent playing the two games.

To determine whether the claim is supported or not, we need to examine the interval. Option A states that the claim is supported because 0 is not contained in the interval. However, the interval (-∞, ∞) contains all possible values, including 0. Therefore, option A is incorrect.

Option B, which mentions the midpoint of the interval being greater than 1, is not a valid criterion for evaluating the claim. The midpoint of the interval does not provide any information about the claim itself. Hence, option B is incorrect.

Option C suggests that the claim is supported because the margin of error for the estimate is less than 1. However, the margin of error is not provided in the question. Therefore, option C cannot be determined based on the given information.

Option D states that the margin of error for the estimate is greater than 1, but the margin of error is not given. Without this information, we cannot evaluate option D.

The correct answer is option E: No, because 0 is not contained in the interval. A confidence interval that does not contain 0 suggests that there is a statistically significant difference in the mean number of hours per week spent playing the two games.

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The circle centered at C(-5,4) intersects the line y = 3x + 2 at the point Q, with coordinates (-1/10, 17/10). This point Q serves as the tangent point between the line and the circle.

To find the coordinates of the point Q where the line y = 3x + 2 is tangent to the circle with center C(-5,4), we can use the concept of the slope of a tangent line.

First, we need to find the slope of the tangent line. The slope of the line y = 3x + 2 is 3. For a tangent line to a circle, the radius drawn from the center of the circle to the point of tangency is perpendicular to the tangent line. Since the slope of the radius is the negative reciprocal of the tangent line's slope, the slope of the radius is -1/3.

Next, we find the equation of the radius line passing through the center C(-5,4) with a slope of -1/3. Using the point-slope form, we have:

y - 4 = (-1/3)(x + 5)

To find the point of tangency, we solve the system of equations formed by the line y = 3x + 2 and the radius line:

y = 3x + 2

y - 4 = (-1/3)(x + 5)

Substituting the value of y from the first equation into the second equation:

3x + 2 - 4 = (-1/3)(x + 5)

3x - 2 = (-1/3)x - 5/3

3x + (1/3)x = 5/3 - 2

(10/3)x = -1/3

x = -1/10

Substituting this value of x back into the first equation:

y = 3(-1/10) + 2

y = -3/10 + 20/10

y = 17/10

Therefore, the coordinates of the point Q, where the line y = 3x + 2 is tangent to the circle with center C(-5,4), are (-1/10, 17/10)

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The transformation that will map the trapezoid onto itself is: a reflection across the line x = -1

The coordinates of the given trapezoid in the attached file are:

A = (-3, 3)

B = (1, 3)

C = (3, -3)

D = (-5, -3)

The transformation rule for a reflection across the line x = -1 is expressed as: (x, y) → (-x - 2, y)

Thus, new coordinates are:

A' = (1, 3)

B' = (-3, 3)

C' = (-5, -3)

D' = (3, -3)

Comparing the coordinates of the trapezoid before and after the transformation, we have:

A = (-3, 3) = B' = (-3, 3)

B = (1, 3) = A' = (1, 3)

C = (3, -3) = D' = (3, -3)

D = (-5, -3) = C' = (-5, -3)\

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Answer:

Step-by-step explanation:

option a is correct sum of two angles is 90°
2b-15=a
then a+b=90
=>2b-15+b=90
=>3b=105

=>b=35°

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A sum of squares that measures the variability among the sample means is called the total sum of squares.

According to the statement

we have to explain about in the sample means, The sum of squares that measures among the variability.

So, For this purpose, we know that the

The variation is comprised the sum of the squares of the differences of each mean with the grand mean.

And

A one-way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.

In other words, Variability, is the extent to which data points in a statistical distribution or data set from the average value.

So, for all this, A sum of squares that measures the variability among the sample means is called the total sum of squares.

Hence, A sum of squares that measures the variability among the sample means is called the total sum of squares.

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