A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained if he wishes the estimate to be within three percentage points with 99 ​% ​confidence, assuming that ​(a) he uses the estimates of 22.3 ​% male and 18.9 ​% female from a previous​ year? ​(b) he does not use any prior​ estimates?

Answer:

0.728

Step-by-step explanation:

0.727935

The thousandths place is the place with the bold 7, between the 2 and the 9.

To round off to the thousandths place, drop every digit to the right of the 7.

0.727

Now you check the first digit to the right of the 7. If that digit is from 0 to 4, you're done. If the digit is from 5 to 9, you add 1 to the thousandths digit. In this case it is 9, so 7 goes up by 1 and becomes 8.

Answer: 0.728

Answer:

1/2 of an hour ( I think )

Step-by-step explanation:

The second longest time that was recorded was 2/3/4 (whole/numerator/denominator) of a hour while the second shortest time was 2/1/4 of a hour. When you subtract 2/1/4 from 2/3/4 you end up with 2/4. Since 2/4 can be simplified to 1/2 you would say there is a 1/2 hour different between the second longest and second shortest time spent reading.

Answer:

Perpendicular

Step-by-step explanation:

The way the numbers will be placed in the square box will be:

First row = 4 12 14

Second row = 2 10 18

Third row = 6 8 16

It should be noted that the question is simply about adding the numbers and getting 39 in each place.

This will be:

First row = 4 12 14 = 4 + 12 + 14 = 30

Second row = 2 10 18 = 2 + 10 + 18 = 30

Third row = 6 8 16 = 6 + 8 + 16 = 30

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Answer:

Step-by-step explanation:

ɸ = (1+√5)/2

The dimensions of the garden are either 5 ft by 5ɸ ft,

or 5 ft by 5/ɸ ft.

If the length is the shorter dimension, then the width is 5ɸ.

5ɸ ≅ 8.1 ft

If the length is the longer dimension, then the width is 5/ɸ.

5/ɸ ≅ 3.1

Answer:

Hi there!

Your equation is:

x-2000<=2500

Step-by-step explanation:

X represents the amount of money earned. Subtract 2000 for expenses, and that is less than or equal to 2500.

Hope this helps

Answer:

it should be 4500

Step-by-step explanation:

2500+2000=4500 hope this helps

It should be noted that to determine the values of a and b from a description of an exponential function of the form f(x) = ab^x, one can use two points on the graph.

Use two points on the graph: If you have two points on the graph of the exponential function, you can use them to solve for a and b. Let (x1, y1) and (x2, y2) be two points on the graph. Then, you can set up two equations:

y1 = ab^(x1)

y2 = ab^(x2)

Divide the second equation by the first equation to get:

y2/y1 = (ab^(x2))/(ab^(x1)) = b^(x2 - x1)

Take the logarithm of both sides to get:

log(y2/y1) = (x2 - x1) log(b)

Solve for log(b) and substitute back into the first equation to get:

a = y1 / b^(x1)

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In order to show that △ ABC ≅ △ DEF by SAS congruence, we need the sides of triangles ABC and DEF with the angle between the respective sides.

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides and all three of their corresponding angles have the same measurements. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. "" is the congruence symbol. When two figures are comparable to one another in terms of their size and shape, this is what mathematicians mean by congruence. In essence, there are four congruence principles that demonstrate if two triangles are congruent. However, locating all six dimensions is essential. As a result, the congruence of triangles can be assessed using just three of the six variables.

Congruency Requirements:

SSS (Side-Side-Side)

SAS (Side-Angle-Side)

ASA (Angle-Side-Angle)

AAS (Angle-Angle-Side)

RHS (Right angle-Hypotenuse-Side) 

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Answer:

Here's an interesting project idea for mathematics that can relate three different topics:

Topic 1: Fractals

Topic 2: Chaos Theory

Topic 3: Differential Equations

Research Question: Can fractals be used to model chaotic systems described by differential equations?

In this project, you can explore the concept of fractals and their applications in modeling complex systems. You can also delve into chaos theory and differential equations to understand how they are used to describe chaotic systems. By combining these three topics, you can investigate whether fractals can provide a better understanding of chaotic systems by modeling them more accurately.

Your research paper can cover the following areas:

Introduction: Provide an overview of fractals, chaos theory, and differential equations, and explain their relevance to the research question.

Fractals: Discuss the properties of fractals and how they can be used to model complex systems. Provide examples of fractals in nature and technology.

Chaos Theory: Explain the concept of chaos and how it is described by differential equations. Discuss the importance of chaos theory in understanding complex systems.

Differential Equations: Provide an overview of differential equations and their applications in physics, engineering, and other fields. Explain how differential equations are used to model chaotic systems.

Combining the three topics: Explain how fractals can be used to model chaotic systems described by differential equations. Provide examples of fractals used in modeling chaotic systems and compare the results to traditional methods.

Conclusion: Summarize the findings of your research and discuss the implications of using fractals to model chaotic systems.

Overall, this project can be a challenging and rewarding exploration of the interplay between three different mathematical topics.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I could be wrong but im just guessing off what i know j think its C So sorry if its wrong

Answer: 10

Step-by-step explanation: it is a 5+ 5 =

Answer:

FV= $242,731.14

Step-by-step explanation:

Giving the following information:

Annual investment (A)= $755

Number of periods (n)= 23*12= 276 months

Interest rate (i)= 0.013/12= 0.0010833

To calculate the future value, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {755*[(1.0010833^276) - 1]} / 0.0010833

FV= $242,731.14

Answer:

A: 2/5

B: -0.2

C: -4/5

Michio's answer not correct. He made a mistake when he was trying to convert the equation to logarithmic form. The right answer is  2.57

Looking at the equation 2(3)ˣ = 34, the best way to convert to logarithm is by isolating x.

we divide  2(3)ˣ = 34 by 2 on both side.

= (3)ˣ = 17

In logarithm form 3 becomes the base of the log

x = log₃(17)

x= 2.578

The answer above is based on the information seen in the picture.

Michio wanted to find the value of x in the equation 2(3)ˣ = 34. He first converted the equation to log₃2x = 17. Next, he wrote 2x = 3¹⁷ and used a calculator to find x = 64,570,081.5. Was his answer correct? If not, what was his mistake and what is the right answer? Justify your answer.

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They filled bags that total 879 and the treats that did not fit are 4

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given here, total treats = 6157, and group them in bags with 7 each

now, we can write 6157 = 879×7+4

thus, on dividing 6157 by 7 we get the remainder as 4 and the quotient as 879

Hence, the bags of treats they filled is 879, and 4  treats were given to the groomer

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Answer:

son iguales todas las figuras son casi lo mismo

The three geometric mean between 2 and 512 are

The first term = 2

Consider the common ratio as r

Then the second term = 2r

The third term = \(2r^2\)

The fourth term is = \(2r^3\)

The fifth term is given that 512

The fifth term = \(2r^4\)

Then the equation will be

\(2r^4\) = 512

\(r^4\) = 512 / 2

\(r^4\) = 256

r = ±4

When r = 4

The three geometric mean between 2 and 512 are

2r = 2×4 = 8

\(2r^2\) = 2×4×4 = 32

\(2r^3\) = 2×4×4×4 = 128

When r = -4

The three geometric mean between 2 and 512 are

2r = 2×-4 = -8

\(2r^2\) = 2×-4×-4 = 32

\(2r^3\) = 2×-4×-4×-4 = -128

Hence, the three geometric mean between 2 and 512 are

The complete question is :

Find the three geometric means between 2 and 512.

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Answer:

1800000 kilometers

Step-by-step explanation:

i think im not 100% sure

The equation which represents the relationship between X values and Y values can be found by deriving the equation of line using slope intercept form. The equation of line is 3x - 5y = 25.

How to find equation of line using slope intercept form?

Equation of line using slope intercept form is y = mx + b

where m is slope of the line and b is y-intercept

The slope intercept can be used to form equation of line using two points on the line.

According to the given question:

The two points which lie on the line are (x, y) = (5, -2) and (x', y') = (0, -5)

Slope of the line m = y' - y/x' - x

                               = (-5 +2)/(0 - 5)

                               = 3/5

Now y intercept b = y - mx

                              = -2 - (3/5. 5)

                              = -5

Therefore the required equation of line is y = 3/5x - 5

On simplifying further 3x - 5y = 25

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Answer:

700

Step-by-step explanation:

Answer:

Number of moles Aluminium sulfide

1 mole of sulfide contains 150 g

Therefore; 16.2/150  

              = 0.108 moles  

The mole ratio of Al2S3 : Al(OH)3 is 1:2

Therefore; moles of Aluminium hydroxide will be;

 = (0.108 × 2)

 = 0.216 moles  

But, 1 mole of  Al(OH)3 contains 77 g

Therefore, the mass of aluminium hydroxide is

  0.216 moles × 77

=  16.632 g

Step-by-step explanation:

Answer:

∠MKN = 30°

Step-by-step explanation:

∠PKL = 2x

∠MKN = x

2x + x = 90

3x = 90

x = 30

∠MKN = 30°

To find the total time it takes for the airplane to travel from Mumbai to Tokyo via Seoul, we need to add the time taken for the Mumbai-Seoul leg and the Seoul-Tokyo leg.

The airplane takes 3.2 hours to fly from Mumbai to Seoul.

The airplane takes 1 1/3 hours to fly from Seoul to Tokyo, which is equivalent to 1.33 hours.

To find the total time, we add the two durations:

3.2 hours + 1.33 hours = 4.53 hours

Therefore, it takes approximately 4.53 hours for the airplane to travel from Mumbai to Tokyo if it flies through Seoul.

Step-by-step explanation:

To determine whether a triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let's denote the three sides of the given triangle as a = 23, b = 30, and c = 19. We can check if these side lengths satisfy the Pythagorean theorem as follows:

c^2 = a^2 + b^2

19^2 = 23^2 + 30^2

361 = 529 + 900

Since 361 is not equal to 529 + 900, we can see that the given triangle is not a right triangle.

Answer:

ooo acellus its A

Step-by-step explanation:

Answer:

The solution in the photo aobve I think that is true

Step-by-step explanation:

I hope that is useful for you :)

If the purchases of streamed music can be modeled by function f(t) = 3.7+0.84 ln(t+1)

Part a

The amount spent by consumers on streamed music in 2014 is 4.62 billion

Part b

The amount spent by consumers on streamed music changing in 2014 at the rate of 0.28 billions per year

The purchases of streamed music  model

f(t) = 3.7+0.84 ln(t+1)

Where f(t) is measure in billion of dollar

t is the measured in years

Part a

We have to find the amount spent by consumer on streamed music in 2014.

t = 0 corresponding to the year 2012

Then 2014 corresponding to t = 2

Substitute the value of t in the equation

f(2) = 3.7+0.84 ln(2+1)

f(2) = 3.7+0.922

f(2) = 4.62 billion

Part b

Differentiate the model with respect to x

f'(t)  = 0.84×\(\frac{1}{t+1}\)

t = 2

Substitute the value in the equation

f'(2) = 0.84×\(\frac{1}{2+1}\)

f'(2) = 0.28 billions per year

Hence, if the purchases of streamed music can be modeled by f(t) = 3.7+0.84 ln(t+1)

Part a

The amount spent by consumers on streamed music in 2014 is 4.62 billion

Part b

The amount spent by consumers on streamed music changing in 2014 at the rate of 0.28 billions per year

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