A political candidate has asked you to conduct a poll to determine what percentage of people support her.
If the candidate only wants a 5% margin of error at a 99% confidence level, what size of sample is needed?
Give your answer in whole people.
ME=8%=0.08
CL=90%=1.645
n=?

Answers

Answer 1

Answer:

666

Step-by-step explanation:

From this question,

a = 1-99%

a = 1-0.99

a = 0.01

5% = z(0.05) = 2.58 when we check the standard normal table

Therefore we calculate n as:

n = (z/E)²*p*1-p

Z = 2.58

E = 0.05

P = 0.5

1-p = 0.5

(2.58/0.05)²x0.5x0.5

= 51.6²x0.5x0.5

= 665.64

Therefore n is approximately 666.


Related Questions

Perform the function compositions

Answers

Answer:

1. 4x^2-24x^2+37

2.16x^4+8x^2-2

Step-by-step explanation:

Which of the following equations demonstrates the Identity Property of One? A. 3 - 2 = 1 B. 4 • 1 = 14 C. 1 • b = b D. 0 + 1 = 1

Answers

Answer: C

The identity property of 1 is that any number multiplied but it remains the same.

Hence

1 x b = b

A length of chain is to be constructed by placing 36 component links end to end. The length of a link produced by a production process is known to be a random variable with a mean of 2.5 cm with a standard deviation 0.2 cm. The 36 links are chosen at random from this process to produce the chain. The mean and standard deviation of the length of chain are, respectively _________.

a. 90 cm, 7.2 cm
b. 36 cm, 1.2 cm
c. 90 cm, 2.7 cm
d. 90 cm, 1.2 cm
e. 36 cm, 7.2 cm

Answers

Answer:

d. 90 cm, 1.2 cm

Step-by-step explanation:

Given that:

The sample size n = 36

For the  length of the link:

The mean [tex]\overline x[/tex] = 2.5

The standard deviation s = 0.2 cm

In a chosen 36 links, The mean and standard deviation for the length chain is as follows:

Mean = n[tex]\overline x[/tex]

Mean = 36×2.5

Mean = 90 cm

The Standard deviation = s×√n

The Standard deviation = 0.2×√36

The Standard deviation = 0.2×6

The Standard deviation = 1.2 cm

select all equations that are equivalent to 5x+(x+6)+3x

Answers

Whoops! It looks like your question was not part of an academic assignment. Since Brainly is only intended for homework questions, we had to remove it. Please keep the question feed clear of personal questions so other users can get the help they need. Thanks! ߷

Solve the following​

Answers

Answer:

Q1

|a-b| = b-a when a<b

Q2

104159/33000

Step-by-step explanation:

Q1

If a<b then a-b will always be negative.  To get the absolute value, we can take -(a-b) = -a+b = b-a.

Q2

Let x = 3.12789789789...

We isolate the repeating decimal to start after the decimal, so we multiply by 100.

100x = 312.789789789...

We want to multiply by 10 for each digit that repeats (in this case 3), to get the repeating part to the left of the decimal.

100000x = 312789.789789

Subtracting the two...

x(100000-100) = 312789.789789 - 312.789789

99900x = 312477

x = 312477/99000 = 104159/33000

Which fraction is equivalent to 2/3 explain

Answers

Answer:

4/6, 8/12, 20/30

Step-by-step explanation:

They are equivalent to 2/3, because they can all be simplified to 2/3.

For example, 2 x 2 = 4 and 2 x 3 = 6; this gives me 4/6. I multiplied 2/3 by 2/2.

SO it can also be 2/3 = 4/6= 6/9 = 8/12 = 10/15 = 12/15 = 15/18 = 18/21 = 21/24 etc.

~hope it's right

4/6 is equivalent to 2/3
If you times both numbers by 2 you get the answer
2/3
x/x
2/2
——-
4/6

can someone help me plzzz

Answers

-3x+2y=9
First you have to find the slope which you would do by labeling your coordinates So -5 is X1 and 3 is X2 and -3 is Y1 and -3 and Y2 is -6. This will help with finding the slope of you equation. So the set up would be Y2-Y1/X2-X1 so the equation would be -6- -3/ 3-5 which would give you 3/2. Then you take one of the coordinate points and your slope in a slope intecpet equation. So -3=3/2(-5)+b then solve. Which would be 9/2 then put you slope and b into a slope intercept equation so y= 3/2x+9/2 then to get it into Standard form you need to move your ex to the other side of the equation so -3/2x+y=9/2 in this equation can be simplified by multiplying two to each side so (2)3/2x+y=9/2(2) which would equal to 3x+2y=9

f(x) = -7x + 1, find f(-2) x
f=-2

Answers

Okay, so basically just plug -2 in for x in the equation and solve.

-7(-2) + 1

Multiply first

14 + 1

Now add

15

jose trabaja 4 3/4 horas el lunes, 3 1/2 horas el martes, 6 3/4 horas el miercoles, 4 1/2 horas el jueves y 6 horas viernes, y 5 horas el sabado en promedio cuantas horas diarias trabaja​

Answers

Answer:

5 horas

Step-by-step explanation:

Answer:

Step-by-step explanation:

( [tex]4\frac{3}{4}[/tex] + [tex]3\frac{1}{2}[/tex] + [tex]6\frac{3}{4}[/tex] + [tex]4\frac{1}{2}[/tex] + 6 + 5 ) ÷ 6 =

( 4 + 3 + 6 + 4 + 6 + 5 + [tex]\frac{6}{4}[/tex] + 1 ) ÷ 6 = 30.5 ÷ 6 = [tex]\frac{61}{2}[/tex] × [tex]\frac{1}{6}[/tex] = [tex]\frac{61}{12}[/tex] = [tex]5\frac{1}{12}[/tex] horas al dia

Please help! I need your help! If you help you get points. If you get points your smart.

Answers

D: She needs to keep going to find more digits.

What is 0.06% written as a decimal?

Answers

Answer:

0.0006

Step-by-step explanation:

Darren’s account was overdrawn by $150, before he deposited $480.

Answers

Is there more to the question..??
If the question is along the lines of how much money is in his account now then it would be 480+(-150)=$330


Find 2 consecutive positive odd integers such that 4 times the larger is 29 more
than three times the smaller?

Answers

Answer:

21 and 23

Step-by-step explanation:

Two integers are:

x  and x + 2

The equation and solution:

4(x + 2) = 3x + 294x + 8 = 3x + 294x - 3x = 29 - 8x = 21

And

x + 2 = 23

A theater sold 1,802 tickets for
their Saturday evening
performance. This was 635 more
than the number of tickets sold
for the matinee performance. If
tickets cost $75 each, find the
total ticket sales for two
performances.

Answers

Answer:

the answer would be 2,969 also i think the cost of tickets is pretty useless

Step-by-step explanation:

Answer:2,969

Step-by-step explanation:

True of False:the following polynomial is written in standard form
2x^4-x^3+5x^2+x-7

Answers

The following polynomial is not written in standard form so it is false

Martin spent $68 on a new drone that he had been saving for. Now, he has $41 left in his savings jar. Click the equation that could be used to find the total of his savings, s, before he bought the drone.

Answers

Answer:

Step-by-step explanation:

109

The answer is 109 (Brainliest Answer Will be appreciated:D)

Write the equation so that a = 1: x2 + x =

Answers

The answer is : x^2 + x = x ( x + 1 )

What is algebraic equation ?

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations. For example, 3x² − 2xy + c is an algebraic expression.

There are various method through which we can solve or define the algebraic expression. One definition I have mentioned earlier..

To solve this equation

if a = 1, the equation x^2 + x = can be completed as follows :

x^2 + x = x ( x + 1 )

Therefore, the final answer is :  x^2 + x = x ( x + 1 )

To know more about algebraic expression visit : https://brainly.com/question/953809

#SPJ1

According to the U.S. Census Bureau, 11% of children in the United States lived with at least one grandparent in 2009 (USA TODAY, June 30, 2011). Suppose that in a recent sample of 1640 children, 225 were found to be living with at least one grandparent. At a 2% significance level, can you conclude that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%? Use both the p-value and the critical-value approaches.

Round your answers for the observed value of z and the critival value of z to two decimal places, and the p-value to four decimal places.

Answers

Answer:

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that  the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%

Step-by-step explanation:

From the question we are told that

   The population proportion is [tex]p = 0.11[/tex]

   The sample size is  n =  1640

   The number found to be living with at least one grandparent is [tex]k = 225[/tex]

   The level of significance is  [tex]\alpha = 0.02[/tex]

   The null hypothesis is [tex]H_o : p = 0.11[/tex]

   The alternative hypothesis is  [tex]H_a : p > 0.11[/tex]

Generally the sample proportion is mathematically represented as

     [tex]\^ p = \frac{ k }{n}[/tex]

=>  [tex]\^ p = \frac{ 225 }{1640 }[/tex]

=>  [tex]\^ p = 0.1372[/tex]

Generally the test statistics is mathematically represented as

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

=>[tex]z = \frac{ 0.1372 - 0.11 }{ \sqrt{\frac{0.11(1- 0.11)}{1640} } }[/tex]

=>[tex]z = 0.0077[/tex]

From the z table  the area under the normal curve to the left corresponding to  0.0077  is  

    [tex]p-value = P(Z > 0.0077) = 0.4969[/tex]

From the value obtained we see that [tex]p-value > \alpha[/tex] hence

The decision rule is  

Reject the null hypothesis

The conclusion is  

 There is no sufficient evidence to show that  the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%

Is the amount of time it takes to download a file from the internet discrete or continuous?

Answers

Answer:

The amount of time that is spent downloading internet files is a continuous measurement and is not discrete, because it will always follow the same length of time that is estimated to download, but due to changes of internet WiFi connectivity and other background programs this can all affect the speed of the computer programs responsible for downloading the files.

Answer/Step-by-step explanation:

The amount of time that is spent downloading internet files is a continuous measurement and is not discrete, because it will always follow the same length of time that is estimated to download, but due to changes of internet WiFi connectivity and other background programs this can all affect the speed of the computer programs responsible for downloading the files.

Please help it’s due

Answers

4 = 130

2 = 50

1 = 90

3 = 40

:)

You start at (0, 8). You move up 1 unit and right 3 units. Where do you end?

Answers

Answer:

1.11

Step-by-step explanation:

you will end up at (3,9)

Which expressions correctly show "the sum of the product of 3 and 8 and the product of 12 and 2"? Select two that are correct. *

3 + 8 + 12 + 2
(12 × 2) + (3 × 8)
3 × 8 × 12 × 2
(3 + 8) × (12 + 2)
(3 × 8) + (12 × 2)

Answers

Answer:

The two correct expressions are:

(12 × 2) + (3 × 8)(3 × 8) + (12 × 2)

Step-by-step explanation:

Let 'a' and 'b' be the two numbers.

When we say the product of 'a' and 'b', it

algebraically means: a × b

Let 'c' and 'd' be the two numbers.

When we say the product of 'c' and 'd', it

algebraically means: c × d

And when we say the sum of the product of 'a' and 'b' and the product of 'c' and 'd', it algebraically means:

(a × b) + (c × d)

or

(c × d) + (a × b)

as

(a × b) + (c × d) = (c × d) + (a × b)

So when we say "the sum of the product of 3 and 8 and the product of 12 and 2".

It algebraically means:

(12 × 2) + (3 × 8)

or

(3 × 8) + (12 × 2)

as

(12 × 2) + (3 × 8) = 24 + 24      ∵ 12 × 2 = 24, 3 × 8 = 24

                           = 48

(3 × 8) + (12 × 2) = 24 + 24      ∵  3 × 8 = 24, 12 × 2 = 24,

                          = 48

Therefore, the two correct expressions are:

(12 × 2) + (3 × 8)(3 × 8) + (12 × 2)

Race to get brainliest, need help!

The sum of digits in a two-digit number is 14. If you double the reversed number and add the result to the original number, the sum would be 222. Find the original number

Answers

Answer:

Original number is 86

Step-by-step explanation:

              Original:   10x + y

Double reversed:   2(10y + x)

Constraints:

  x + y = 14                                     ===>            x = 14 - y

  2(10y + x) + 10x + y = 222          ===>           21y + 12x = 222

Substitution to find y:

  21y + 12x = 222

  21y + 12(14 - y) = 222

  21y + 168 - 12y = 222

            9y + 168 = 222

                      9y = 54

                        y = 6

Substitution to find x:

  x = 14 - y

  x = 14 - 6

  x = 8

Original:   10x + y

                 10(8) + (6)

                 80 + 6

                 86

x = Tens place
y = Ones place
x+y=14
y=14-x
2(10y+x)+(10x+y)=222
20y+2x+10x+y=222
21y+12x=222
21(14-x)+12x=222
294-21x+12x=222
-9x = -72
x = 8
y = 14-8 =6
ANSWER: 86

what is the value of h in the triangle​

Answers

Answer:

I think the answer is 7.2

I need help with this.

Answers

The domain of the function on the graph is (-6,0). For this type of function, the domain is all real numbers. A function with a fraction with a variable in the denominator. To find the domain of this type of function, set the bottom equal to zero and exclude the x value you find when you solve the equation. A function with a variable inside a radical sign.

please help! refer to the picture!

Answers

Step-by-step explanation:

ans:

option

c

mark me as brainliest

D
First solve the second equation. Replace g (2) into that equation which just means replace 2 in the place of x. You should get f (3). Then, replace f (3) in the first equation which just means replace 3 in the x's.
(3 - 2)^3 (3^2 - 4) / 16
(1) (5) / 16
= 5/16

Colin and Brian were playing darts. Colin scored 91. Brian scored 9 more than Colin. What was their combined score?

Answers

Answer:
The combined score was 191
Explanation:
91 (Colin’s score) + 9 (how many more Brian had than Colin) = 100 (Brian’s score)
91 (Colin’s score) + 100 (Brian’s score) = 191 (combined score)

Find the height of a triangle whose
Area=64dm
Base=1.6m​

Answers

Answer:

102.4?

Step-by-step explanation:

Answer:

h=2A/b

2 (64dm)/1.6m

128dm/1.6m

=80d

In this graph the y-intercept of the line is (Blank). The equation of the line is y=(Blank) x (Blank) .​

Answers

Answer:

In the graph, the y-intercept is -2. The equation of the line is [tex] y = x - 2 [/tex]

Step-by-step explanation:

The equation of the line can be written in the slope-intercept form, y = mx + b.

First we need to find:

The slope = m

the y-intercept = b

Using two points on the line, (0, -2) and (2, 0) the slope can be calculated as follows:

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-2)}{2 - 0} = \frac{2}{2} = 1 [/tex]

The y-intercept is simply the point at which the line intercepts the y-axis. It is the value of y when x = 0.

Therefore, the y-intercept, b, = -2.

Substitute m = 1 and b = -2 into [tex] y = mx + b [/tex].

Thus, the equation if the line would be:

[tex] y = (1)(x) + (-2) [/tex]

[tex] y = x - 2 [/tex]

what is y=(-2/3)x+400 as a function?

Answers

Answer:

y= −2x/3 + 400

Step-by-step explanation:

Hope this helps :)

Answer: what the other dude said

Step-by-step explanation:

Other Questions
Small-claims court is a place for which of the following?O A. People to resolve financial differencesO B. Customers to return damaged goodsO c. Warrantees to be redeemedO D. The government to punish cartelsSU I will give brainliest and follow you on TT. Choose 1 exchange from Europe to the New World that had a major impact. Explain its significance. The first step in resolving conflict is to? Who every get it RIGHT ASAP i will brailestly you!A) Make rude remarksB) Acknowledge that there is a problemC) Avoid the other person Find the height of a triangle whose Area=64dmBase=1.6m Do 24(0x+0.33333333)=3x+17 have a solution I need help with this equation Read the story. Racing to Race Carlo stopped to rest for a minute and tried to catch his breath. Hed been running for so long that he had pains in his side and his legs were beginning to hurt. He hunched over and tried to expand his lungs, but it was like trying to suck air out of a bicycle tire. His body was too exhausted to even allow him to take a deep breath, and he started to wheeze again. Great, he thought, let me just add asthma to my expanding list of ailments. I cant believe that I cant even jog two miles without completely collapsing! He finally gave in to his aching body and laid down on the grass to recuperate. He closed his eyes and tried to imagine himself running on the school track in the 1,600-meter race. He pictured himself running steadily toward the finish line, running effortlessly like a cheetah in the jungle. He was so lost in thought that he didnt even hear Meiya approach. Hey sleepyhead, what are you doing napping on Seans lawn in the middle of the day? Meiya asked playfully. Carlo quickly sat up, breathing normally now and feeling a little embarrassed. I am trying to get in shape to try out for track, but I cant even run two miles, he said dejectedly. Wait, how many months are you out of surgery? Didnt you just finish rehab last week? Meiya asked. You cant expect to run two miles the first day. It had been six months since Carlos surgery and he specifically remembered the doctor telling him he could start running after six months. But he thought about what Meiya had said and realized she had a good point. After his surgery, the doctor did say rehab would be crucial to his recovery but that it would take time for him to gain back full use of his leg. He thought about how a baby had to learn to walk before it could run. He remembered when his nephew was learning to crawl; within days it seemed like he was walking. Running didnt come right away, Carlo remembered. He realized it was the same with his therapy. The maximum he had run in the past month was one mile on the treadmill, so he realized that Meiya was probably right. He would have to work at building up his endurance and set more realistic goals for himself. As he thought about what he had already accomplished, he started to smile and felt like a weight was being lifted off his shoulders. He realized that he had run almost a mile and a half before his body started to protest and if he kept working hard, he could get back to where he was before his accident. Since when did you get so smart, Dr. Meiya? he teased. Do you want to race to the next mailbox? Youre on! she challenged and took off running at full speed. Question 1 Part A What is a central theme of Racing to Race? (A) Good things always come to those who wait. (B) A close friend is good medicine. (C) Recovery from a setback takes time and patience. (D) Running a race is not always about winning. Question 2 Part B Which statement best shows how the theme identified in Part A is developed in the story? (A) Carlo pictures himself winning a big race on the school track team but then he realizes he may have developed asthma. 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