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

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

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

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.

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:

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

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]

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

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.

Perform the function compositions

Answers

Answer:

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

2.16x^4+8x^2-2

Step-by-step explanation:

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

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

What is 0.06% written as a decimal?

Answers

Answer:

0.0006

Step-by-step explanation:

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! ߷

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

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

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

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:

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.

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

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)

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)

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

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


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

Please help it’s due

Answers

4 = 130

2 = 50

1 = 90

3 = 40

:)

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)

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%

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

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