in a large population, 55% of the people get a physical examination at least once every two years. an srs of 100 people are interviewed and the sample proportion is computed. the mean and standard deviation of the sampling distribution of the sample proportion are

Answer:

Mr. A initially paid approximately N8000 for the land.

Step-by-step explanation:

Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.

Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.

Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.

Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240

Step 5: Simplifying the equation: 1.155x - x = N1240

Step 6: Solving for x: 0.155x = N1240

x = N1240 / 0.155

x ≈ N8000

Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.

Answer:

9

Step-by-step explanation:

-77+5=-72

-72 divided by -8 = 9

The type of triangle is △STR is isosceles triangle.

A triangle is a flat shape bounded by three sides. In another sense, a triangle is formed by three line segments called sides and each side intersects with two other sides.

When classified from its angles, triangles consist of acute triangles, right triangles, and obtuse triangles. Even so, the sum of the angles of a triangle is always 180 degrees. Based on the classification of its sides, triangles consist of equilateral triangles, arbitrary triangles, and acute triangles.

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The equation can be used to model the height as a function is\(\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5\)  where t is time, the second option is correct.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We know the general equation for the cosine function:

\(\rm y = A\ cos(bx-c)+d\)

Where A is the amplitude

We have a wall clock that varies from 9 feet to 10 feet.

The value of 'A' is given by:

\(\rm A = \frac{10-9}{2} \Rightarrow 0.5\)

b is the cycle speed, we know:

\(\rm T = \frac{2\pi}{b}\)   (T is period)

\(\rm12 = \frac{2\pi}{b}\)

\(\rm b=\frac{\pi}{6}\)

The value of d is given by:

\(\rm d = \frac{10+9}{2}\)

d = 9.5

The equation can be modeled:

\(\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5\)   (c =0 and y =h)

Thus, the equation is  \(\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5\)

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Answer: B, h = 0.5 cosine (StartFraction pi Over 6 EndFraction t) + 9.5

Step-by-step explanation: edge :)

The set notation R = {(rho, θ, ϕ) | 0 < θ < π/2, 0 < ϕ < π/2, \(\sqrt(49/sin^2\)(ϕ)) < rho < 1/(3*\(sin^2\)(ϕ))} represents the region in the first octant that is below the cone z = \(3x^2 + 3y^2\) and inside the cylinder \(x^2 + y^2\) = 49 using spherical coordinates.

In order to describe the region in the first octant below the cone z = \(3x^2 + 3y^2\) and inside the cylinder \(x^2 + y^2\) = 49 using set notation and spherical coordinates, we first need to convert the given equations into spherical coordinates. The spherical coordinates are represented as (rho, θ, ϕ), where rho is the radial distance, θ is the azimuthal angle, and ϕ is the polar angle.

First, let's convert the equations into spherical coordinates:
1. Cone: z = \(3x^2 + 3y^2\)
In spherical coordinates, x = rho * sin(ϕ) * cos(θ), y = rho * sin(ϕ) * sin(θ), and z = rho * cos(ϕ). Substituting these values into the cone equation, we get:
rho * cos(ϕ) = 3(rho * sin(ϕ) * cos(θ)\()^2\) + 3(rho * sin(ϕ) * sin(θ)\()^2\)
Simplifying, we have:
cos(ϕ) = 3 * \(rho^2\) * \(sin^2\)(ϕ) (\(cos^2\)(θ) + \(sin^2\)(θ))

2. Cylinder: \(x^2 + y^2\) = 49
Substituting the spherical coordinates for x and y, we get:
(rho * sin(ϕ) * cos(θ)\()^2\) + (rho * sin(ϕ) * sin(θ)\()^2\) = 49
Simplifying, we have:
\(rho^2\) * \(sin^2\)(ϕ) = 49

Now, we can describe the region using set notation:
The region R can be defined as R = {(rho, θ, ϕ) | 0 < θ < π/2, 0 < ϕ < π/2, \(\sqrt(49/sin^2\)(ϕ)) < rho < 1/(3*\(sin^2\)(ϕ))}

This set notation represents the region in the first octant that is below the cone z = \(3x^2 + 3y^2\) and inside the cylinder \(x^2 + y^2\) = 49 using spherical coordinates.

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Answer:

\(\frac{5x^{3} }{8} +\frac{32x}{5} +5\)

This is the answer. The attachments are my work.

Multiply 3x2 · 4x5 · 2x. Solution. The problem means (Lesson 5): Multiply the numbers, then combine the powers of x: 3x2 · 4x5 · 2x = 24x8.

Answer:

Im not sure about this one yet

Step-by-step explanation:

but give me a alittle and I'll be bk right away

Not choosing a presidential dollar can occur in 7 ways

Calculating Number of ways for choice

Given : Total 10 coins - 5 susan anthony dollars, 2 kennedy half dollars, 3 presidential dollars

To calculate : Number of ways through which non presidential dollar can be chosen

It can be calculated using Combination Choices

The dollar chosen is out of 7 dollars - 5 susan anthony dollars & 2 kennedy half dollars, ignoring & excluding the presidential dollars

So, number of ways = 7 c 1

= 7 ways

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Given: The image shown in the question

To Determine: 3 collinearpoints

Solution

Collinear points are the points that lie on the same straight line or in a single line. If two or more than two points lie on a line close to or far from each other, then they are said to be collinear

d. Therefore Points D, G, and F are collinear

Coplanar points are three or more points which lie in the same plane. Recall that a plane is a flat surface which extends without end in all directions.

e. Therefore, the points A, D, G, and F are coplanar points

If two planes intersect each other, the intersection will always be a line

f. Thereffore, the intersection of plane ABC and plane ABE is the line AB

g. The intersection of planes BCH and DEF.

From the image, there is no intersection between the planes BCH and DEF

h. The intersection of line AD and line DF is point D

Step-by-step explanation:

6ac+10ac

2ac(6ac+10ac)

2ac(3+5)

Answer:

I did this question the other day, I think it is right, but I'm not 100% sure. Let me know if it is helpful

Step-by-step explanation:

Answer:

in 2009, there were about 3.3 mil visitors, 2010 having 3.64 mil.
3.3 + 3.64 = 6.94

Step-by-step explanation:

In 2011 there were 3.39 million visitors and 2012 had 3.45
3.39 + 3.45 = 6.84

6.94 - 6.84 = 0.1

Therefore, there were 0.1 million more visitors in 2011 and '12 than 2009 and '10.


hopes this helps :)

it helps to organize and categorize large amounts of information, making it more accessible and manageable. This organizational structure helps users to locate specific codes and information efficiently. indexing system True.

The National Codes index lists entries under one main term, which is usually a broad topic or subject area. Under each main term, there may be several subentries that provide more specific details or categories related to the main term. This type of indexing system allows users to quickly and easily find information related to a specific topic, without having to search through an entire document or database. Additionally, it helps to organize and categorize large amounts of information, making it more accessible and manageable.

In the index of the National Codes, entries are listed under one main term to ensure easy navigation and understanding of the content. This organizational structure helps users to locate specific codes and information efficiently.

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The mode of the given data is that; B: No mode

In stem and leaf plot, the number that appears the most in the stem and leave part when combined is called the mode.

Now, when we look at the stem and leaf plot given, there is no combination that occurs the most as each one occurs just once.

Thus, we can conclude that there is no mode.

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Correct question :

There is a bag with only red marbles and blue marbles. The probability of randomly choosing a red marble is 7 9 . There are 28 red marbles in the bag and each is equally likely to be chosen. Work out how many marbles in total there must be.

Answer:

Total number of marbles = 36

Step-by-step explanation:

Marbles in bag: Red and Blue only

Probability of randomly choosing a red marble = 7/9

Number of red marbles = 28

Total number of marbles in the bag =?

Probability = required outcome / Total possible outcomes

P(red marble) = required outcome (number of red marbles) / Total possible outcomes(total number of marbles

7/9 = 28 / total number of marbles

Total number of marbles * 7/9 = 28

Total number of marbles = 28 ÷ 7/9

Total number of marbles = 28 * (9/7)

= 252 / 7

Total number of marbles = 36

Step-by-step explanation:

how should we express the speed ? in meters per second ? kilometers per hour ?

or anything else ?

he moves 250 meters in 500 seconds.

that is 250/500 m/s = 0.5 m/s (meters per second)

for kilometers per hour we need to convert this to an expression that bases on an hour instead of one second.

we know there are 3600 seconds (60 seconds × 60 minutes) in an hour.

and to keep the ratio unchanged, we need to do the same thing to the top and the bottom of it.

so, we multiply 0.5 m/s by 3600/3600.

0.5/1 × 3600/3600 = 1800/3600 m/s = 1800/1 m/h =

= 1.8 km/h

in other words - he is really slow. a normal person walks much faster.

Answer:

The equation for the variation is:

\(\frac{Miles}{thunder\,\,time } =0.2\,\frac{mi}{s}\)

Step-by-step explanation:

The relationship is given by the quotient between the two variables: (1) distance of the storm, and (2) the number of seconds to hear the thunder. That is:

\(\frac{Miles}{thunder\,\,time } =\frac{2}{10} =0.2\,\frac{mi}{s}\)

Answer:

5

Step-by-step explanation:

there are 5 circle patches on the quilt

A company seeking to estimate the time required to produce 100 units of a product based on past production rates should utilize regression analysis. This statistical method is the most effective among the given choices because it focuses on identifying the relationship between variables, such as production rates and time, and uses this relationship to make predictions.

Regression analysis will enable the company to develop a model that quantifies the relationship between the production rates (independent variable) and the time taken to produce units (dependent variable). By analyzing historical data, the company can establish a mathematical equation to predict future production times based on the past performance.

Hypothesis testing and confidence intervals are less suited for this purpose, as they primarily focus on determining the significance of relationships or differences between groups rather than predicting future outcomes. Similarly, correlation analysis measures the strength of a relationship between variables but does not predict future values based on past data.

In summary, regression analysis is the most effective statistical method for a company to estimate the time required to produce 100 units of a product based on past production rates. This method enables the company to create a predictive model, which can help optimize production processes and enhance overall efficiency.

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Step-by-step explanation:

????????????........

Step-by-step explanation:

f(x)+g(x)=(2x^2 + 5x +6) + (3x^2 +4x - 10)

Combine like terms

5x^2 + 9x -4

f(x)-g(x)=(2x^2 + 5x +6) - (3x^2 +4x - 10)

Distribute the negative

(2x^2 + 5x +6) + (-3x^2 -4x + 10)

Combine like terms

-x^2 +x +16

Without knowing the size of the outer circle, it is impossible to determine the exact area of the shaded region. However, we can use the circumference of the inner circle (125.6 inches) to find its radius, and then use that to calculate the area of the shaded region as a fraction of the area of the outer circle.

The formula for the circumference of a circle is C = 2πr, where r is the radius. We can rearrange this formula to solve for r:

r = C/2π

Plugging in the given circumference of the inner circle, we get:

r = 125.6/2π
r ≈ 19.998 inches

Since both circles have the same center, we know that the radius of the outer circle must be at least 19.998 inches longer than the radius of the inner circle. Let's call the radius of the outer circle R. Then:

R = r + 19.998
R ≈ 39.996 inches

The area of a circle is given by the formula A = πr^2. So the area of the inner circle is:

A_inner = πr^2
A_inner ≈ 1256.64 square inches

And the area of the outer circle is:

A_outer = πR^2
A_outer ≈ 5023.27 square inches

The area of the shaded region is the difference between these two areas:

A_shaded = A_outer - A_inner
A_shaded ≈ 3766.63 square inches

So the area of the shaded region is approximately 3766.63 square inches, but this answer depends on the radius of the outer circle, which is not given in the problem.

Answer:

\(\theta = \frac{\pi}{6}\)

Step-by-step explanation:

\(tan^ 2 \theta - ( \sqrt 3 + \frac{1}{\sqrt3}}) tan \theta + 1 = 0\\\\tan \theta - ( \sqrt 3 + \frac{1}{\sqrt3}}) +\frac{1}{ tan \theta } = 0\\\\\)          \([ \ divide \ by \ tan \theta \ on \ both \ sides \ ]\)

\(tan\theta + \frac{1}{ tan \theta }- ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\\frac{tan^2 \theta + 1}{ tan \theta } - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\\frac{sec ^2 \theta}{ \frac{sin \theta }{cos \theta}} - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\)              \([ \tan ^ 2\theta + 1 = sec ^2 \theta \ , \ tan \theta = \frac{sin \theta }{cos \theta } \ ]\)

\(\frac{sec^2 \theta }{sin \theta \times sec \theta } - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\\)                  \([\ \frac{sin \theta }{cos \theta } = sin \theta \times sec \theta \ ]\)

\(\frac{sec \theta }{sin \theta } - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\\)

\(sec \theta \ cosec \theta - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\\)              \([ \ \frac{1}{sin \theta } = cosec \theta \ , \ \frac{ sec \theta }{sin \theta } = sec \theta cosec \theta \ ]\)

\(sec \theta \ cosec \theta - \sqrt 3 - \frac{1}{\sqrt3}} = 0\\\\\frac{\sqrt 3\ sec \theta \ cosec \theta - 3 - 1}{\sqrt3} = 0\\\\\sqrt 3 sec \theta cosec \theta - 4 = 0\\\\\)              

\(\sqrt3 \frac{1}{cos \theta } \frac{1}{sin \theta } - 4 = 0\\\\\frac{\sqrt3 - 4sin \theta cos \theta} { sin \theta cos \theta } = 0\)                      

\(\sqrt 3 - 2sin 2\theta = 0\)                                  \([ \ sin 2 \theta = 2 sin \theta cos \theta \ ]\)

\(2sin 2 \theta = \sqrt3\\\\sin 2 \theta = \frac{\sqrt3 }{2} \\\\2 \theta = sin^{-1} (\frac{\sqrt3}{2})\\\\2 \theta = 60^{ \circ} = \frac{ \pi}{3}\\\\\theta = \frac{\pi} {6}\)

Answer:

  circumcenter

Step-by-step explanation:

You want to know the name of the point equidistant from the vertices of a triangle.

The circle that passes through the vertices of a triangle is called a "circumcircle". It circumscribes the triangle. Its center is equidistant from all points on the circle, so is equidistant from the triangle's vertices.

The point equidistant from the vertices of a triangle is the circumcenter.

__

Additional comment

The circumcenter is at the intersection of the perpendicular bisectors of the sides of the triangle.

Answer:you have to think but maybe you can put de answer is y =(1.2)x

Step-by-step explanation:

Answer: Total number of pages is 125

Step-by-step explanation:

If 3/5 of a book is equal to 75, we can conquer that 1/5 of the book is 25 pages, because 75/3=25.

With this we can do 25 x 5 = 125 total pages.

Answer:

Heeeeey :)

Step-by-step explanation:

The value of 'x' of the length of the hypotenuse is 15.4 cm.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

From the given information with respect to the reference angle of 19°,

Opposite side is 5 cm and we have to find the value of the hypotenuse 'x'.

We know, sin = opposite/hypotenuse.

Therefore, sin19° = 5/x.

x = 5/0.325.

x = 15.4 cm.

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The center of the circle, and consequently the central point of the resort's swimming pool, is located at the intersection of the two legs of the right triangle, approximately 60 feet from one vertex and 120 feet from the other.

The upscale resort has ingeniously designed its circular swimming pool to encompass a central area containing a restaurant. This central area takes the form of a right triangle with legs measuring 60 feet and 120 feet, while the hypotenuse, the longest side of the triangle, spans approximately 103.92 feet. The vertices of the triangle neatly coincide with points on the circumference of the circular pool.

Due to the properties of a right triangle, the hypotenuse is also the diameter of the circle. This means that the circular pool is precisely constructed around the right triangle, with its center located at the midpoint of the hypotenuse.

To determine the exact coordinates of the center of the circle, we can consider the properties of right triangles. Since the legs of the right triangle are perpendicular to each other, the midpoint of the hypotenuse coincides with the point where the two legs intersect.

In this case, the center of the circle is the point of intersection between the 60-foot leg and the 120-foot leg of the right triangle.

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Given the following question:

Foil method:

Your answer using the foil method is 6x^2 + 14x - 12