Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to thegiven statistics and confidence level. Round the margin of error to four decimal places.1)99% confidence; n

Answers

Answer 1

Answer:

[tex]E = 0.0158[/tex]

Step-by-step explanation:

Given

[tex]n = 5900[/tex]

[tex]x = 1770[/tex]

[tex]CI = 99\%[/tex]

Required

The margin of error (E)

First, calculate proportion p

[tex]p = x/n[/tex]

[tex]p = 1770/5900[/tex]

[tex]p = 0.3[/tex]

Given that:

[tex]CI = 99\%[/tex]

Calculate the alpha leve;

[tex]\alpha = 1 - CI[/tex]

[tex]\alpha = 1- 0.99[/tex]

[tex]\alpha= 0.01[/tex]

Divide by 2

[tex]\alpha/2= 0.01/2[/tex]

Subtract from 1

[tex]1 - \alpha/2= 1 - 0.01/2[/tex]

[tex]1 - \alpha/2= 0.995[/tex]

The corresponding z value is:

[tex]z =2.576[/tex]

So, the margin of error is:

[tex]E = z * \sqrt{p * (1 - p)/n}[/tex]

So, we have:

[tex]E = 2.576 * \sqrt{0.3 * (1 - 0.3)/5600}[/tex]

Using a calculator, we have:

[tex]E = 0.01577471394[/tex]

Approximate

[tex]E = 0.0158[/tex]


Related Questions

JK=8x+6 KL=6x+20 find JL

Answers

Answer:

14x + 26

Step-by-step explanation:

JL = JK + KL

= 8x + 6 + 6x + 20

= 8x + 6x + 6 + 20

JL = 14x + 26

Which of the following is graphed below?

Answers

The correct answer is A

!!! I need help with this question !!! I tried using the standard deviation formula but my answers are wrong. Can someone please help me! Thank you for your help!

Answers

Answer:

Step-by-step explanation:

Consider a uniform density curve defined from x = 0 to x = 8. What percent of observations fall between 1 and 5?
a) 0.20
b) 0.50
c) 0.62
d) 0.13
e) 0.63
f) None of the above

Answers

Answer:  0.50, which is choice b

Explanation:

The interval [tex]1 \le x \le 5[/tex] covers 5-1 = 4 units in the horizontal direction.

This is out of 8 units that span from x = 0 to x = 8 (we could say 8-0 = 8).

So we get the final result of 4/8 = 0.50

In other words, the interval from x = 1 to x = 5 covers exactly half of the interval from x = 0 to x = 8.

Solve the following equation. for x

7x - 2 < 10

Answers

Step-by-step explanation:

7x < 10+2

7x<12

x < 12/7

Hope this helps!

Answer:

[tex]7x-2<10[/tex][tex]7x-2+2<10+2[/tex][tex]7x<12[/tex][tex]\frac{7x}{7}<\frac{12}{7}[/tex][tex]x<\frac{12}{7}[/tex]

OAmalOHopeO

The width of a rectangle measures (7k-2m)(7k−2m) centimeters, and its length measures (5k-m)(5k−m) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Answers

Answer:

[tex]P = 24k-6m[/tex]

Step-by-step explanation:

The correct expressions are:

[tex]W = 7k - 2m[/tex]

[tex]L = 5k - m[/tex]

Required

The perimeter (P)

This is calculated as:

[tex]P = 2 *(L + W)[/tex]

So, we have:

[tex]P = 2 *(5k - m + 7k -2m)[/tex]

Collect like terms

[tex]P = 2 *(5k + 7k- m -2m)[/tex]

[tex]P = 2 *(12k-3m)[/tex]

Open bracket

[tex]P = 24k-6m[/tex]

Find the exact value of the logarithm without using a calculator.

Answers

Answer:

1/11

Step-by-step explanation:

We are asked to find the natural log of

[tex] \sqrt[11]{e} [/tex]

Convert to fractional exponent

[tex] ln(e {}^{ \frac{1}{11} } ) [/tex]

Apply Log of Power rule

[tex] \frac{1}{11} ln(e) [/tex]

Natural log of e is 1 so

[tex] \frac{1}{11} \times 1 = \frac{1}{11} [/tex]

Answer:

[tex]\frac{1}{11}[/tex]

Step-by-step explanation:

First, remember that the ln function is just a log function with a base of e. Here's how it looks

[tex]ln(x) =log_{e}(x)[/tex]

[tex]ln(\sqrt[11]{e} ) = log_{e}(\sqrt[11]{e} )[/tex]

We can take this one step further if we realize that we can rewrite the square root as a simple power to a fraction!

[tex]log_{e}(e^{\frac{1}{11} } )[/tex]

Solving the equation above is really simple. All that function is really saying is can we raise e to some number, where the result would be e^(1/11)? In other words find x.

[tex]e^{x} = e^{\frac{1}{11} }[/tex]

Well x has to be 1/11 in that case. And that ends up being our final answer.

[tex]log_{e}(e^{\frac{1}{11} } ) = \frac{1}{11}[/tex]

Зу = -2 - 6
3y = 2z - 6

Answers

Answer:

y = -8/3, z = -1

G. Find the ratio between a pen and pencil if ten pens cost $22.5 and a dozen pencils cost $18.​

Answers

Answer:

Cost ratio of pens:pencils  =   9 : 4

Step-by-step explanation:

Pen  : Pencil

10/10 : 12/12

22.5 / 10  : 18 / 12

2.25 :  1.5 cost per pen : pencil

HC of 0.25 and 0.5 is 8

8 x 2.25 = 18:

1.5 x 8 = 12

Then place them under their denominator x 10 x 12

pens = 18/10 = 1.8

pencils = 12/12 = 1

HC of 1.8 and 1 is  5

1.8 x 5 = 9

1 x 5 = 5

Answer = 9 : 4

the length of a rectangle is twice its width the perimeter is 48 cm what are the dimensions of the rectangle

Answers

Answer:

The length=16cm and the width=8cm.

Step-by-step explanation:

Given that the length is twice the breadth or width of the rectangle

Let's assume that the breadth of the rectangle is x.

Thus the length is 2x.

Given perimeter=48cm

The formula for the perimeter of a rectangle is 2(l+b) where l is length and b is breadth.

2(x+2x)=48

(3x)=48/2

3x=24

x=8cm

2x=16cm

Step-by-step explanation:

length=2x

width=x

2x+x+2x+x=48

6x=48

6x÷6=48÷6

x=8

length=16

width=8

A runner is traveling at a constant rate of 8 meters per second. How long does it take for the runner to travel 100 meters? Now before you answer this I know it's 12.5! What I need help with is creating a equation that gives the distance, d, that the person has run if you know the amount of time, t, they have been running. Thank you! :)

Answers

Answer:

see below

Step-by-step explanation:

We know that distance = rate * time

100 meters = 8 m/s * time

100 = 8t

Divide each side by 8

100/8 = 8t/8

12.5 = t

If we know the rate and the time, we can find the distance

d = rt

The surface area of a melting snowball decreases at a rate of3.8cm2/min. Find the rate at which its diameter decreases when the diameter is13cm. (Round your answer to three decimal places if required)

Answers

Answer:

Step-by-step explanation:

This is a pretty basic related rates problem. I'm going to go through this just like I do in class when I'm teaching it to my students.

We see we have a snowball, which is a sphere. We are talking about the surface area of this sphere which has a formula of

[tex]S=4\pi r^2[/tex]

In the problem we are given diameter, not radius. What we know about the relationship between a radius and a diameter is that

d = 2r so

[tex]\frac{d}{2}=r[/tex] Now we can have the equation in terms of diameter instead of radius. Rewriting:

[tex]S=4\pi(\frac{d}{2})^2[/tex] which simplifies to

[tex]S=4\pi(\frac{d^2}{4})[/tex] and a bit more to

[tex]S=\pi d^2[/tex] (the 4's cancel out by division). Now that is a simple equation for which we have to find the derivative with respect to time.

[tex]\frac{dS}{dt}=\pi*2d\frac{dD}{dt}[/tex] Now let's look at the problem and see what we are given as far as information.

The rate at which the surface area changes is -3.8, and we are looking for [tex]\frac{dD}{dt}[/tex], the rate at which the diameter is changing, when the diameter is 13. Filling in:

[tex]-3.8=\pi(2)(13)\frac{dD}{dt}[/tex] and solving for the rate at which the diameter is changing:

[tex]-\frac{3.8}{26\pi}=\frac{dD}{dt}[/tex] and divide to get

[tex]\frac{dD}{dt}=-.459\frac{cm}{min}[/tex] Obviously, the negative means that the diameter is decreasing.

Combine the expressions below

4x+(-2x)+6+(-9)

Answers

=4x-2x=2x

=6-9=-3

=2x-3

The travel time on a section of a Long Island Expressway (LIE) is normally distributed with a mean of 80 seconds and a standard deviation of 6 seconds. What travel time separates the top 2.5% of the travel times from the rest

Answers

Answer:

The travel time that separates the top 2.5% of the travel times from the rest is of 91.76 seconds.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 80 seconds and a standard deviation of 6 seconds.

This means that [tex]\mu = 80, \sigma = 6[/tex]

What travel time separates the top 2.5% of the travel times from the rest?

This is the 100 - 2.5 = 97.5th percentile, which is X when Z has a p-value of 0.975, so X when Z = 1.96.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.96 = \frac{X - 80}{6}[/tex]

[tex]X - 80 = 6*1.96[/tex]

[tex]X = 91.76[/tex]

The travel time that separates the top 2.5% of the travel times from the rest is of 91.76 seconds.

3y+5 < 10
solve for y

Answers

Answer:

y>3/5

Step-by-step explanation:

3y+5 <10

3y<5

y>3/5

Answer:

[tex]\:3y+5<10\\3y+5-5<10-5\\3y<5\\\frac{3y}{3}<\frac{5}{3}\\y<\frac{5}{3}[/tex]

OAmalOHopeO

I need help with this​

Answers

bing jhwwjwiwisisuwuwywywywfsfsahajai

The mortgage on your new house is $180,000. Your monthly mortgage payment is $839 for 30 years. How much interest will be paid if the house is kept for the full 30 years?

Answers

9514 1404 393

Answer:

  $122,040

Step-by-step explanation:

The interest is the difference between the mortgage value and the total amount paid.

  ($839/mo)×(12 mo/yr)×(30 yr) -180,000 = $302,400 -180,000 = $122,040

$122,040 will be paid in interest.

Coefficient of y in the equation: 3(2x -1/3y) = 0 is equal to a) 3 b) 1 c)-3 d)-1

Answers

Answer:

d is the right answer because the coefficient of y is 3*(-1/3) which results -1 so d is the right answer

The coefficient of y in the given equation is 1. Therefore, option B is the correct answer.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 3(2x -1/3y)=0.

Now, 6x-1/y=0

A numerical or constant quantity placed before and multiplying the variable in an algebraic expression.

Here, coefficient of y is 1.

Therefore, option B is the correct answer.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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Engineering
When p= 3, q. I and r. 2, the
expression 2p² q3 is equal to

Answers

Answer:

[tex]{ \tt{2 {p}^{2} {q}^{3} }} \\ = { \tt{ {2(3)}^{2} . {(1)}^{3} }} \\ = 18[/tex]

Which is the graph of the following inequality

Answers

Answer:

graph a is the correct answer

Step-by-step explanation:

Consider the equation 2x-8=10-x. Why can't you determine whether this equation is true or false?

Answers

Answer:

False

Step-by-step explanation:

If we consider x=1 then

2*1-8 = 10-1

2-8 =9

6 = 9 (which is impossible)

so false

We can determine that the original equation 2x - 8 = 10 - x is true when x = 6.

We have,

Simplify the equation:

2x - 8 = 10 - x

Combining like terms by adding x to both sides:

3x - 8 = 10

Now, to isolate the variable x, add 8 to both sides:

3x = 18

Finally, divide both sides of the equation by 3:

x = 6

By solving the equation, x = 6.

Therefore,

We can determine that the original equation 2x - 8 = 10 - x is true when x = 6.

Learn more about equations here:

https://brainly.com/question/17194269

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Miller's Steakhouse offers 8 side dishes, 5 types of steak, and 4 toppings. How many different smothered steak dinners can be made if a smothered steak dinner consists of the customer's choice of steak served with 3 different toppings and 3 different side dishes?

Answers

Answer:

1120

Step-by-step explanation:

To find the possible number of steak dinners, you would multiply the number of choices for each part of the dinner. You would used combinations instead of permutations since the order of the toppings chosen or side dishes chosen do not matter. There are 5 choose 1 choices for types of steak, which is just 5. There are 8 choose 3 choices for side dishes, which is 56. There are 4 choose 3 choices for toppings, which is 4. 5*56*4 is 1120, so there are 1120 possible steak dinners.

What is the value of x in the equation
-%y = 30, when y = 15?

Answers

Answer:

x not given

therefore no answer for x

During a sale, CDs that normally cost $6.98 each were priced at 2 for $12.50. Pete bought 4 CDs at the sale price. How much money did he save by buying the 4 CDs on sale?

Answers

Answer:

2.92

Step-by-step explanation:

Normal price

4 * 6.98 =27.92

Sale price

2 for 12.50   means 4 at 2* 12.50

2*12.50 = 25

Subtract

27.92-25=2.92

He saved 2.92

Josue leans a 26-foot ladder against a wall so that it forms an
angle of 80° with the ground. How high up the wall does the
ladder reach? Round your answer to the nearest hundredth of a
foot if necessary.

Answers

Answer:

25.61 feet

Step-by-step explanation:

First, we can draw a picture (see attached picture). With the wall representing the rightmost line, and the ground representing the bottom line, the ladder (the hypotenuse) forms a 80 degree angle with the ground and the wall and ground form a 90 degree angle.

Without solving for other angles, we know one angle and the hypotenuse, and want to find the opposite side of the angle.

One formula that encompasses this is sin(x) = opposite/hypotenuse, with x being 80 degrees and the hypotenuse being 26 feet. We thus have

sin(80°) = opposite / 26 feet

multiply both sides by 26 feet

sin(80°) * 26 feet = opposite

= 25.61 feet as the height of the wall the ladder reaches

The height of the wall does the ladder reach to the nearest hundredth of the foot is 25.61 feet.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.

Josue leans a 26 feet ladder against a wall so that it forms an angle of 80° with the ground.

The condition is shown in the diagram.

Then the height of the wall will be

[tex]\rm \dfrac{h }{26 } = sin 80 \\\\h \ \ = 26 \times sin 80\\\\h \ \ = 25.61 \ ft[/tex]

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Solve the equation below through elimination. -3x-3y=3 -5x+2y=19

Answers

HOW TO SOLVE SYSTEMS OF EQUATIONS BY ELIMINATION

To solve systems of equations by elimination, we want to eliminate one of the variables. To do this, we want to cancel out a certain variable in both equations. For example, if you had 8x in one equation and -8 x in another, you could combine the two equations and the x would be gone!

THE SOLUTION

In our case, though, we don't have anything we can combine to cancel out the variables. But, what we can do is multiply the first equation by three. If we do this, now we have a 9x in the top and a -9x in the bottom. Then, we can solve for y!

SOLVING FOR Y

Multiply first equation by three

9x+6y=57

Combine top and bottom equations

14y=28

We divide both sides by 14.

y=2

SOLVING FOR X

Now, we can simply plug our y-value into one of the original equations and then solve for x.

3x+4=19

We subtract 28 from both sides.

3x=15

We divide both sides by 3.

x=5

Therefore, our solution is (5,2) or x=5 and y=2.

I hope that this helps! Have a wonderful day! :D

Answer:

x=5 and y=2.

Step-by-step explanation:

The height of Mt.Whitney is approximately 14,490 feet. What is a rounded form of this number written in scientific notation?

Answers

The rounded form of 14,490 feet is 1.449*10 ^4 . You can use calculator for it

Help ASPPP!!!



Name a point that is represented on this graph. Use an ordered pair to give your answer. (Hint:
Look at the shaded region)

Answers

Answer:

(-5, -9)

Step-by-step explanation:

From the graph shown, the perfect ordered pair represented on the graph occurs when x = -5, y  = -9. Therefore the required coordinate could be (-5, -9)

please help me its timed -H.M​

Answers

Answer:

f(3) = g(3)

General Formulas and Concepts:

Algebra I

Functions

Function NotationGraphing

Step-by-step explanation:

We can see from the graph that the lines intersect at (3, 6). If this is the case, then that means that when x = 3 for both functions, it outputs f(x) = 6.

Rewriting this in terms of function notation:

f(3) = 6, g(3) = 6

∴ f(3) = g(3)

In forming a confidence interval for μ1 - μ2, only two assumptions are required: independent samples and sample sizes of at least 30.

a. True
b. False

Answers

I’m not sure but I guess it’s false
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