Suppose that 20% of voters are in favor of a certain legislation. A large number n of voters are polled and a relative frequency estimate fA(n) for the above proportion is estimated. How many voters should be polled so that the probability is at least 0.95 that fA(n) differs from 0.20 by less than 0.02?
Answers
Answer:
8000 voters
Step-by-step explanation:
E is the difference between probability that is real and those which are estimated
Sd² = p(1-p)
When solve this, using the formula in the attachment,
0.95 = 1-0.2(0.2)²/n(0.02)
0.95 = 1 - 0.16/n(0.02)²
1-0.95 = 0.16/n(0.02)²
0.05 = 0.16/0.0004n
We cross multiply here
0.05 x 0.0004n = 0.16
0.00002n = 0.16
Divide through by 0.00002 to get n
n = 8000
This is the number of voters that should be polled
Related Questions
What is missing in the percent what is number 45 of 80
Answers
Answer:
35
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!! ASAP!!!!!!!!!!!
A freight train from city A to city B and a passenger train from city B to city A left the cities at the same time, at 10:00 AM, heading towards each other. The distance between the cities is 360 miles. The freight train is traveling at 50 mph, the passenger train is traveling at 70 mph.
At what TIME will the trains pass each other?
Answers
Answer:
at 1 pm
Step-by-step explanation:
NEED MAJOR HELP PLEASE
Answers
Answer:
∠ BDC = 30°
Step-by-step explanation:
The angle on the circle is half the measure of the central angle subtended by the arc BC
∠ BDC = [tex]\frac{1}{2}[/tex] × 60° = 30°
Any help would be appreciated. Thank you
Answers
=14-9 x (-2)
=14- (-18)
=32
Which of the following statements represent the relationship between the sine and cosine of complementary angles? Select all that apply
Answers
Answer:
I think its the first and the third one
Step-by-step explanation:
lemme know if this helps :)
Answer:
Step-by-step explanation:
which phrase in paragraph 3 of "The pit and the Pendulum" most strongly contributes to a mood of trade
F fecuent and thoughts endeavors to remember
6 buod reason of a later epoch
= a vague homer at my heart
call to mind fitness and dampness
Answers
Answer:
"and motion, and touch—a tingling
sensation pervading my frame. Then the mere consciousness
of existence, without thought—a condition which lasted
long. Then, very suddenly, thought, and shuddering terror,"
3x^2 -12x +11=0
How to complete the square
Answers
Answer:
Tiger shows you, step by step, how to solve YOUR Quadratic Equations 3x^2-x-11=0 by Completing the Square, Quadratic formula or, ...
The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 4 cm/s. When the length is 15 cm and the width is 12 cm, how fast is the area of the rectangle increasing
Answers
Answer:
The area of the rectangle is increasing at a rate of 168 square centimeters per second.
Step-by-step explanation:
Geometrically speaking, the area of a rectangle ([tex]A[/tex]), in square centimeters, is described by following expression:
[tex]A = w\cdot l[/tex] (1)
Where:
[tex]w[/tex] - Width, in centimeters.
[tex]h[/tex] - Height, in centimeters.
By Differential Calculus, we find an expression for the rate of change of the area of the rectangle ([tex]\dot A[/tex]), in square centimeters per second:
[tex]\dot A = \dot w\cdot l + w\cdot \dot l[/tex] (2)
Where:
[tex]\dot w[/tex] - Rate of change of the width of the rectangle, in centimeters per second.
[tex]\dot l[/tex] - Rate of change of the length of the rectangle, in centimeters per second.
If we know that [tex]w = 12\,cm[/tex], [tex]l = 15\,cm[/tex], [tex]\dot w = 4\,\frac{cm}{s}[/tex] and [tex]\dot l = 9\,\frac{cm}{s}[/tex], then the rate of change of the area of the rectangle is:
[tex]\dot A = \dot w\cdot l + w\cdot \dot l[/tex]
[tex]\dot A = 168\,\frac{cm^{2}}{s}[/tex]
The area of the rectangle is increasing at a rate of 168 square centimeters per second.
Find two equivalent fractions
3/2
Answers
Answer:
4/6 8/12
Step-by-step explanation:
2. Which pair of angles is not congruent? F. ∠1 and ∠7 G. ∠3 and ∠5 H. ∠4 and ∠6 I. ∠2 and ∠5
Answers
Answer:
I) ∠2 and ∠5
Step-by-step explanation:
This month Joe spent 1/2 of his salary on food and 1/3 on rent. What part of his salary did he spend? Simplify the fraction if possible.
Answers
Answer:
the answer is 5/6
Step-by-step explanation:
1/2 + 1/3
1 =3 + 2=1 5
x
-- + --- = ---
2 x 3 = 6
what is the slope of the line
Answers
Answer:
3/2
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x
Answers
Answer:
x=17
Step-by-step explanation:
4x+8+44+60=180
4x+112=180
4x=180-112
4x=68
x=68/4
x=17
Which number is a rational number?
36
16
6
6
36
6
16
Answers
Answer:
√36/√16 is a rational number as it can be written as 6/4=3/2 which is rational
is travelling to another country.
He flies for 7 hours at an average speed of 990 km/h on one plane.
He then flies for 6 hours 15 minutes at an average speed of 920 km/h on a second plane.
What is the total distance, in km, he travelled by plane?
Answers
Answer:
First time=7hours
First speed=990km/hour
First distance=first time×first speedD=(
S×T)
D=990km/hr×7hrs
D=6930km.
Second time=6&14min.
Second speed=920km/hr
Second distance=second speed×second time (D=s×t)
D=920km/hr×6&14min.
D=1500
Total distance=6930+1500
=8430
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Jonathan sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
140 visitors purchased no costume.
166 visitors purchased exactly one costume.
32 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase one or more costumes as a percent to the nearest whole number.
Answers
Answer: it should be A/1
Which equation does this picture BEST represent?
A. 49 ÷ 7 = 7
B. 49 - 7 = 42
C. 7 - 7 = 0
D. 49 - 49 = 0
Answers
PLEASE HELP DEW IN 1 hour
Answers
Answer: B
Step-by-step explanation:
2(—2) + 10 = 6.
2(0) + 6 = 6.
2(2) + 2 = 6.
2(4) + (—2) = 6
Suppose that a committee is studying whether there is waste of time in our judicial system. It is interested in the mean amount of time individuals waste at the courthouse waiting to be called for jury duty. The committee randomly surveyed 81 people who recently served as jurors. The sample mean wait time was eight hours with a sample standard deviation of four hours. Construct a 95% confidence interval for the population mean time wasted. Which distribution should you use for this problem
Answers
Answer:
The t-distribution is used, as we have the standard deviation of the sample.
The 95% confidence interval for the population mean time wasted is between 7.12 hours and 8.88 hours.
Step-by-step explanation:
We have the standard deviation for the sample, which meas that the t-distribution should be used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 81 - 1 = 80
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 80 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.99
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.99\frac{4}{\sqrt{81}} = 0.88[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 8 - 0.88 = 7.12 hours.
The upper end of the interval is the sample mean added to M. So it is 8 + 0.88 = 8.88 hours.
The 95% confidence interval for the population mean time wasted is between 7.12 hours and 8.88 hours.
5. The recursive formula NEXT = 3. NOW models the number of goldfish in a pond each year. If there are 36 goldfish in the pond after 3 years, how many goldfish will be in the pond after 6 years? A 324 B. 936 c. 972 D. 2,916
Answers
Answer:
B
Step-by-step explanation:
how do you convert from kilometers to square meters
Answers
Answer:
To convert square km to square meters, multiply the square km value by 1000000
Step-by-step explanation:
Just look at the pic for the question
Answers
Answer: C
Step-by-step explanation:
solve this for me please
Answers
Explanation:
Scale defines 1 inch as 3.5 feet....
2 inches = 7 feet
0.8 inches= 2.8 feet
7+2.8= 9.8 feet
Need Help ASAP
Thanks so much in advance...
Answers
Answer:
I will post 4,5 and 6 separately.
Please simplify the following trigonometric identity.
[tex]\displaystyle\frac{1}{\sec\alpha-\tan\alpha}[/tex]
Answers
Examining the question:
We are given the expression:
[tex]\frac{1}{Sec(\alpha)-Tan(\alpha)}[/tex]
We know from Basic trigonometry that:
[tex]Sec(\alpha) = \frac{1}{Cos(\alpha)}[/tex]
[tex]Tan(\alpha) = \frac{Sin(\alpha)}{Cos(\alpha)}[/tex]
Simplifying the expression:
Replacing these values in the given expression, we get:
[tex]\frac{1}{\frac{1}{Cos(\alpha)} -\frac{Sin(\alpha)}{Cos(\alpha)} }[/tex]
Since the denominator of both the values in the denominator is the same:
[tex]\frac{1}{\frac{1-Sin(\alpha)}{Cos(\alpha)} }[/tex]
We know that [tex]\frac{1}{\frac{a}{b} }[/tex] = [tex]\frac{b}{a}[/tex], using the same property:
[tex]\frac{Cos(\alpha)}{1-Sin(\alpha)}[/tex]
and we are done!
Answer:
cos a
---------------------
1 -sin (a)
Step-by-step explanation:
We know that sec a = 1/ cos (a) and tan a = sin (a) / cos (a)
1
---------------------
1/ cos (a) -sin (a) / cos (a)
Multiply the top and bottom by cos (a)
1* cos a
---------------------
( 1/ cos (a) -sin (a) / cos (a)) * cos a
cos a
---------------------
1 -sin (a)
⅘ y = 32. Plz help me I need this answer ASAP
Answers
Answer:
If youre looking for the value of y:
Step-by-step explanation:
4/5 y=32
y= 32/(4/5)
y=40
Answer:
Step-by-step explanation:
4/5y=32. y is a unknown number. How i solve these is i do 32 times 5 which is 160 and then 160 divided by 4 is 40. 4/5 of 40 is 32.
Gavin plans to repaint some classroom bookcases. He has 3 gallons of paint. All of
the bookcases are the same size and each requires gallon of paint. How many
bookcases will he be able to paint?
3/4
Answers
Answer:
3 bookcases
Step-by-step explanation:
are Equilateral triangles always acute triangles.
Answers
Answer:
Yes, they can only have acute angles (all measure 60°)
Step-by-step explanation:
Can some body help me?
Answers
Answer:
24
Step-by-step explanation:
2(54-6x)=73-7x
108-12x=73-7x
108-73=-7x+12x
35=5x
x=7
UW=73-7x=73-7(7) = 73-49 = 24
(X8.6.PS-12
Question Help
A circular flower bed is 20 m in diameter and has a circular sidewalk around it that is 2 m wide.
Find the area of the sidewalk in square meters. Use 3.14 for it.
The area of the sidewalk is m2.
(Round to the nearest whole number as needed.)
Enter your answer in the answer box and then click Check Answer.
Clear All
Check Answer
All parts showing
Answers
Answer:
area = 138 m²
Step-by-step explanation:
radius of large circle = 12 m
radius of small circle = 10 m
large circle area = πr² = (3.14)(12²) = 452.16 m²
small circle area = πr² = (3.14)(10²) =314 m²
452.16 - 314 = 138.16 m²
