At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.05 for the estimation of a population proportion? assume that past data are not available for developing a planning value for p*. (round your answer up to the nearest whole number.) the answer is not 384. i already submitted that answer and it was incorrect

Answer:

15

Step-by-step explanation:

The blue angle and the yellow angle form a linear pair, so they are supplementary (angle measures add up to 180).

180 - 165 = 15

Answer:

[tex]5.5[/tex]

Step-by-step explanation:

Mean:

The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values. The formula for the mean of a population is

[tex]\mu = \frac{{\sum}x}{N}[/tex]

The formula for the mean of a sample is

[tex]\bar{x} = \frac{{\sum}x}{n}[/tex]

Both of these formulas use the same mathematical process: find the sum of the data values and divide by the total. For the data values entered above, the solution is:

[tex]\frac{55}{10} = 5.5[/tex]

Answer:

first 35 out of 100 then second person 34 out of 99

Step-by-step explanation:

Answer:

5:9

Step-by-step explanation:

So since 18 chose to do oral report, that means (28-18) or 10 students decided to do a written report.

To find the written to oral report ration, we need to find for each student that did a written report, how many did an oral report? We can express this as a fraction and simplify to get the simplified ratio. So the the written will be the numerator and the oral will be the denominator: 10/18, to simplify this simply divide both sides by 2, to get 5/9 which gives us the simplified ratio of 5:9 meaning that for every 5 students who decided to do a written report 9 students decided to do an oral report.

The side lengths that forms a right triangle are as follows:

A right angle triangle has one of its angle as 90 degrees. The sides of the triangle follows Pythagoras  theorem.

Therefore,

c² = a² + b²

where

The hypotenuse is the longest side of the right triangle.

Therefore, the side lengths that forms a right triangle are as follows:

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The number which produces a rational number when multiplied by 1/3 is; Choice A; 2.

It follows from the definition of rational number that they can be represented as the quotient a/b of two integers such that b ≠ 0.

On this note, it follows that when 1/3 is multiplied by 2; the result is 2/3 which is a rational number.

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The next line after computing the sample standard deviation is to; determine the 2.5th and 97.5th percentiles of the values.

It follows from the task content that the 95% confidence interval for the population standard deviation using the bootstrap method in which case, after numerous sampling, the 2.5th and 97.5th percentiles of the standard deviations are determined.

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Answer: 3

Step-by-step explanation:

Multiply the numerator to get 3 x 6 is 18

Multiply the denominator to get √6 x √6 = 6

Divide 18 by 6 to get the answer is 3

Answer:

[tex]\dfrac{5}{2}\pi[/tex]

Step-by-step explanation:

Rotation about the y-axis

[tex]\textsf{Volume}=\displaystyle \int^b_a \pi x^2\:\text{d}y[/tex]

where:

Given function of y:  [tex]y = 3x^2[/tex]

Rewrite the given function as a function of y:

[tex]\implies x^2=\dfrac{1}{3}y[/tex]

Substitute the values into the formula:

[tex]\implies \displaystyle \int^4_1 \dfrac{1}{3}\pi y\:\:\text{d}y[/tex]

[tex]\boxed{\begin{minipage}{5 cm}\underline{Terms multiplied by constants}\\\\$\displaystyle \int ay^n\:\text{d}y=a \int y^n \:\text{d}y$\end{minipage}}[/tex]

[tex]\boxed{\begin{minipage}{4 cm}\underline{Integrating $y^n$}\\\\$\displaystyle \int y^n\:\text{d}y=\dfrac{y^{n+1}}{n+1}+\text{C}$\end{minipage}}[/tex]

Take out the constant and integrate:

[tex]\begin{aligned}\implies \dfrac{1}{3}\pi\displaystyle \int^4_1 y\:\:\text{d}y & = \dfrac{1}{3}\pi \left[\dfrac{1}{2}y^2\right]^4_1\\\\& =\dfrac{1}{3}\pi \left[\dfrac{1}{2}(4)^2-\dfrac{1}{2}(1)^2\right]\\\\&=\dfrac{1}{3}\pi\left[8-\dfrac{1}{2}\right]\\\\&=\dfrac{5}{2}\pi \end{aligned}[/tex]

Therefore, the exact value of the volume of revolution is:

[tex]\dfrac{5}{2}\pi[/tex]

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Based on the calculations, the true statements are:

A. The angular velocity is 10π rad/sec.

E. The angular velocity is 600π rad/min.

Mathematically, angular velocity can be calculated by using this formula:

ω = θ/t

Where:

Note: 1/2 revolution = 0.5 × 2π = π radians.

Substituting the given parameters into the formula, we have;

ω = θ/t

ω = π/0.1

ω = 10π rad/s.

Next, we would convert the time in seconds to minutes:

ω = 10π × 60

ω = 600π rad/min.

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Complete Question:

A golfer’s arm rotates 1/2 of a revolution in 1/10 of a second. If the angular displacement is measured in radians, which statements are true? Check all that apply.

A. The angular velocity is 10π rad/sec.

B. The angular velocity is 10π rad/min.

C. The angular velocity is 60π rad/min.

D. The angular velocity is 600π rad/sec.

E. The angular velocity is 600π rad/min.

Answer:

A,

Step-by-step explanation:

Edge202

The area of the object with a shape of kite having diagonals of 14 inches and 10 inches is 70 in².

An equation is an expression that shows the relationship between two or more variables and numbers.

The area of kite = (product of diagonals)/2

Area of kite = (10 * 14) / 2 = 70 in²

The area of the object with a shape of kite having diagonals of 14 inches and 10 inches is 70 in².

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a. Area of A = 20 ft²

Area of B = 16 ft²

Area of C = 12 ft²

Area of A = 24 ft²

b. The surface area of the triangular prism = 96 ft².

The surface area of the triangular prism given in the diagram = area of A + B + C + D.

a.

Area of A (rectangle) = (length)(width) = (10)(2) = 20 ft²

Area of B (rectangle) = (length)(width) = (8)(2) = 16 ft²

Area of C (rectangle) = (length)(width) = (6)(2) = 12 ft²

Area of A (rectangle) = 1/2(base)(height) = 1/2(6)(8) = 24 ft²

b. The surface area of the triangular prism = 20 + 16 + 12 + 2(24) = 96 ft².

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Answer:

Step-by-step explanation:

Solving    3x2-5x-1 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  x, the solution for   Ax2+Bx+C  = 0, where  A, B, and  C number, often called coefficients, is given by :

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

 In our case,  A   =     3

                     B   =    -5

                     C   =   -1

 B2  -  4AC   =

      25 - (-12) =

             37

Applying the quadratic formula :

              5 ± √ 37

  x  =    —————

                   6

 √ 37, rounded to 4 decimal digits, is   6.0828

So now we are looking at:

          x  =  ( 5 ±  6.083 ) / 6

Two solutions:

x =(5+√37)/6= 1.847

x =(5-√37)/6=-0.180

There will be no change to the grass because the exponential of the function remains the same.

According to the questions,

slope = -4 and y-intercept = -5

Equation of straight line y = mx + c

y = -4x - 5

In order to grass line, there will be no change to the grass because the exponential of the function remains the same.

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Answer:

12-24-36-48-60

if I'm wrong I will try to get back to you and right my wrong

Answer:

856.5ft^2

Step-by-step explanation:

I took the test.

Answer:

96 is the number of original women investors.

Step-by-step explanation:

Let X be the number of young women in the initial group.  They raised 480000, so the average payment per person was (480000/X).  

When 4 pull out, the new average is (480000/(X-4)).  We are told that this new average required the remaining women (X-4) to add another 20000.

The four women therefore had contributed 20000 in total, making their average 20000/4 = 5000 each.  

This would have been the same amount contributed by all X women.  Thus, we can set the average (480000/X) equal to 5000

(480000/X) = 5000

(480000) = 5000X

(480000)/5000 = X

X = 96

The original number of women was 96.

===

Check

(96 Women)(5000/Woman) = 480000  CHECKS

(4 Women pull out)*(5000) = 20000 that needs to be added to stay at 480000.  CHECKS

The type of correlation relationship that exists between the number of fire stations in a city and the number of parks is: accidental correlation relationship.

Accidental relationship is a type of correlation relationship whereby there is a strong correlation between two variables without a logical explanation for such relationship. It is often regarded as coincidental.

Therefore, the type of correlation relationship that exists between the number of fire stations in a city and the number of parks is: accidental correlation relationship.

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The vector AB is not related with the vector CD as k is not the same for each pair of components.

In this question we must prove if the vector AB is a multiple of the vector CD, that is:

[tex]\overrightarrow{AB} = k \cdot \overrightarrow {CD}[/tex]

[tex]\vec B - \vec A = k \cdot [\vec D - \vec C][/tex]

(1, 4) - (2, 3) = k · [(- 2, 2) - (1, 3)]

(- 1, 1) = k · (- 3, - 1)

Hence, the vector AB is not related with the vector CD as k is not the same for each pair of components.

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Answer: a

/////////////////

Answer:

The correct answer is  A.

Step-by-step explanation:

The absolute value of any number is always positive.

Answer:

A translation 8 units right and 2 units down

Based on the triangle inequality theorem, the statement that the given segments will form a triangle is TRUE.

If a, b, and c are lengths of a triangle, then,

a + b > c

a + c > b

b + c > a

Given the segments:

AC = 6

CB = 5

BA = 8

6 + 5 > 8 [true]

6 + 8 > 5 [true]

5 + 8 > 6 [true]

Therefore, it is true that the segments given could form a triangle.

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The equation that can be used to represent total tickets sales is 2170 = 5s + 2f + 10a

let

Expression for number of students tickets sold;

s = f + 15

Expression for number of faculty tickets sold;

f = 2a

Expression for number of alumni tickets sold;

f = 2a

a = f/2

2170 = 5s + 2f + 10a

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The equation of the graph in which the vertex (4,2) and a=-2 is

y=-2[tex](x-4)^{2}[/tex]+2.

Given that the point of the vertex is (4,2) and a=-2.

Equation is like a relationship between two or more variables expressed in equal to form. Equations of two variables look like ax+by=c. It may be a linear equation,quadratic equation, cubic equation or many more depending on the power of variable in the equation.

We know that point of vertex look like (h,k) in the equation and equation look like as under:

y=a[tex](x-h)^{2} +k[/tex].-----------1

So in order to find the equation we have to just put h=4 and k=2 and a=2 in equation 1.

y=-2[tex](x-4)^{2} +2[/tex]

Hence the equation of the graph in which the vertex (4,2) and a=-2 is

y=-2[tex](x-4)^{2}[/tex]+2.

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Answer:

65.4 cm²

Step-by-step explanation:

The volume of a cuboid is calculated by multiplying the length, base, and height together. Since a cube has equal sides, the formula for the volume of a cuboid can be simplified as shown below.

Volume of cube

= side ×side ×side

= side³

Given that the volume is 36 cm³, let's find the length of each side.

side³= 36

Cube root both sides:

side=[tex]\sqrt[3]{36}[/tex]

Total surface area of a cube is the sum of the surface areas of its 6 identical square faces.

Area of a square

= side ×side

= side²

Surface area of 1 face= [tex](\sqrt[3]{36})^2[/tex]

Total surface area

= [tex]6(\sqrt[3]{36} )^2[/tex]

= 65.416 (5 s.f.)

= 65.4 cm² (nearest tenth)

Additional:

To learn more about surface area of cube, do check out the following!

Answer:

-5

Step-by-step explanation:

Slope is rise over run. The graph decreases by 5 units every 1 unit to the right, so the slope is -5.

Answer:

[tex]\dfrac{y^2}{9}=1-\dfrac{x^2}{25}[/tex]

Step-by-step explanation:

When converting parametric equations that involve trig functions to Cartesian equations, use trig identities to eliminate the parameter.

Given parametric equations:

[tex]x=5 \sin \theta, \quad y=3 \cos \theta, \quad 0\leq \theta\leq \pi[/tex]

Square the equation for x:

[tex]\implies x^2=(5 \sin \theta)^2=25 \sin^2 \theta[/tex]

Use the identity [tex]\sin^2 x+\cos^2x =1[/tex] to write [tex]x^2[/tex] in terms of cos:

[tex]\implies x^2=25(1-\cos^2 \theta)[/tex]

Isolate [tex]\cos^2 \theta[/tex] :

[tex]\implies \dfrac{x^2}{25}=1-\cos^2 \theta[/tex]

[tex]\implies \cos^2 \theta=1- \dfrac{x^2}{25}[/tex]

Square the equation for y:

[tex]\implies y^2=(3 \cos \theta)^2=9 \cos ^2 \theta[/tex]

Replace [tex]\cos^2 \theta[/tex] with the found equation involving [tex]x^2[/tex] :

[tex]\implies y^2=9\left(1-\dfrac{x^2}{25}\right)[/tex]

Divide both sides by 9:

[tex]\implies \dfrac{y^2}{9}=1-\dfrac{x^2}{25}, \quad \textsf{with }x\geq 0[/tex]

It means the probability of a random permutation of n numbers gets sorted after 1 pass of bubble sort is n!

According to the statement

we have to find the probability of random permutation of the N numbers.

So, according to the definition of A random permutation is a random ordering of a set of objects, that is, a permutation-valued random variable.

In this we order of select the objects randomly.

So, Let There are n−1 comparisons, so 2n−1 possible sequences of actions - swap or don't swap.

To find the permutations, start with 1,2,3,4,5 and undo a sequence.

For example, if let n=5, there are 24=16 out of 5!

which is 5! =120 that end after one round of bubble sort.

So, It means the probability of a random permutation of n numbers gets sorted after 1 pass of bubble sort is n!

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Answer:

Step-by-step explanation:

Distance around = 2*160 + 2*360

= 320 + 720

= 1080 feet.

The distance around the field is 1040 feet.

It is required to find the distance around the field.

A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees.

Given that:

A football field is 160 feet wide and 360 feet in length.

A  football field is in the shape of rectangle.

So, we know that ,

Perimeter of rectangle= 2(length +breadth)

Distance around

= 2(160 + 360)

=2(520)

= 1040 feet.

Hence,  the distance around the field is 1040 feet.

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