10. In a survey of 212 people at the local track and field championship, 72% favored the home team
winning
a. Find the margin of error for the survey.
b. Give the 95% confidence interval that is likely to contain the exact percent of all people who
favor the home team winning.
Answers
Answer:
a. The margin of error for the survey is of 0.0308 = 3.08%.
b. The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error of the survey is:
[tex]M = \sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The confidence interval can be written as:
[tex]\pi \pm zM[/tex]
In a survey of 212 people at the local track and field championship, 72% favored the home team winning.
This means that [tex]n = 212, \pi = 0.72[/tex]
a. Find the margin of error for the survey.
[tex]M = \sqrt{\frac{0.72*0.28}{212}} = 0.0308[/tex]
The margin of error for the survey is of 0.0308 = 3.08%.
b. Give the 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Lower bound:
[tex]\pi - zM = 0.72 - 1.96*0.0308 = 0.6596[/tex]
Upper bound:
[tex]\pi + zM = 0.72 + 1.96*0.0308 = 0.7804[/tex]
As percent:
0.6596*100% = 65.96%
0.7804*100% = 78.04%.
The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).
Related Questions
Which mathematical property is demonstrated below? 3 + 0 = 3
Identity Property
Indemnify Property
Idiocy Property
Idolatry Property
Answers
Answer: Identity Property
Step-by-step explanation:
The rest have very fake names lol
Answer:
Identity Property
Step-by-step explanation:
Identity Property :
Any number plus zero is the original number.
Hope it is helpful....A bag contains 2 red marbles and 3 blue marbles. What is the probability of drawing a red marble, keeping it, and drawing another red marble?
Answers
Answer:
Step-by-step explanation:
the first marble has a probability of 2/5
the second marble has a probability of 1/4
P(r=2) = 2/5 * 1/4 = 2/20 = 1/10
Answer:
2/5, 1/4
Step-by-step explanation:
The total amount of marbles before drawing a marble is 2+3=5. There are 2 red marbles. Thus, the theoretical probability of drawing a red marble from the bag is 2/5.
If you keep the red marble, there are now 4 total marbles in the bag. There is also only 1 remaining red marble. Thus, the theoretical probability of drawing a red marble is now 1/4.
To the nearest cubic centimeter, what is the volume of the regular hexagonal prism?
Answers
Answer:
The volume is 164cm^3
Step-by-step explanation:
Given
[tex]h = 7[/tex] --- height
[tex]a = 3[/tex] --- base length
[tex]r = 2.6[/tex]
Required
The volume
The volume (V) is calculated as:
[tex]V = \frac{3\sqrt 3}{2}a^2h[/tex]
This gives:
[tex]V = \frac{3\sqrt 3}{2} * 3^2 * 7[/tex]
[tex]V = \frac{3\sqrt 3}{2} * 9 * 7[/tex]
[tex]V = \frac{3\sqrt 3}{2} * 63[/tex]
[tex]V = \frac{3*1.7321}{2} * 63[/tex]
Using a calculator, we have:
[tex]V = 163.68[/tex]
Approximate
[tex]V = 164cm^3[/tex]
b. Convert 17 g to oz
Answers
Answer:
2176 ounces
Step-by-step explanation:
one gallon has 128 ounces
PLEASE WILL MARK BRAINLIEST / ITS VERY EASY (PROBABLY)
Answers
Answer:
Answer given below
Step-by-step explanation:
1. [tex]\frac{1}{5}x + \frac{1}{3} - \frac{2}{5}x = \frac{-1}{5}x + \frac{1}{3}[/tex]
2. [tex]\frac{1}{5} x + \frac{1}{3} + \frac{2}{5} x = \frac{3}{5} x + \frac{1}{3}[/tex]
3. [tex]\frac{2}{5}+ \frac{2}{3}x- \frac{1}{5} = \frac{2}{3}x+ \frac{1}{5}[/tex]
If f(x) = 6x3 – 11x2
6x3 – 11x2 – 26x + 15 and
f(3) = 0, then find all of the zeros of f(x)
algebraically.
Answers
Answer:
f(6)g(8)f(3)=0
Step-by-step explanation:
its a mathematics formula its ia trick
Plz help me
What are the coordinates of point Q?
A.-4 2 1/2
B.-2 1/2 4
C. -2 1/2 4
D.4,2 1/2
Answers
Bronco, Inc., imposes a payback cutoff of three years for its international investment projects.
Year Cash Flow (A) Cash Flow (B)
0 –$ 61,000 –$ 71,000
1 23,500 15,500
2 29,000 18,500
3 21,500 27,000
4 8,500 231,000
What is the payback period for both projects?
Answers
Answer:
4476966756TTTVFD
Step-by-step explanation:
Find the area of the figure to the nearest thousandth
Answers
Answer:
[tex]236.715\:\mathrm{ft^2}[/tex]
Step-by-step explanation:
The area of the figure consists of a rectangle and two half-circles.
Area of rectangle: [tex]15\cdot 4=60[/tex]
Area of two half-circles: [tex]2\cdot \frac{1}{2}\cdot 7.5^2\cdot \pi=176.714586764[/tex]
Thus, the total area of the figure is
[tex]60+ 176.714586764\approx \boxed{236.715}[/tex]
To ease congestion in a downtown area, city planners are considering a plan to widen a major thoroughfare from
two driving lanes to three driving lanes. This plan would require closing a section of downtown streets as the work
begins. In order to assess public support for the plan, city planners provided a phone number to residents that could
be used to register opinion for or against the plan. In total, 267 calls were received, with only 24% supporting it.
Which statement describes the most likely type of bias in this setting?
This is nonresponse bias because many residents may choose to not participate.
This is question wording bias because the phrasing of the plan may have confused some residents.
This is voluntary response bias because residents could choose to call and register their opinion.
O This is response bias because residents may not be honest with their feelings about the plan.
Answers
Answer:
the answer is C. This is voluntary response bias because residents could choose to call and register their opinion.
Step-by-step explanation:
just got 100 on the quiz
what is the Limited Development of ln(x+cosx) ?
Answers
Answer:
A quick hack is often to partially express some function in terms of a Taylor approximation about x0, since higher order terms of x go to zero if we are considering limits for (x−x0)→0. To really answer your question we need to know what the original question was, that is, about which point do you want the expansion? Let us assume around 0. Then we have the Maclaurin series:
cos(x)=1−12x2+O(x4)
You can add more terms if you need to. Now we write:
ln(1+(−12x2))=…
Do you know the standard Maclaurin series for this function?
Hint: it is of the form ln(1+u)
Step-by-step explanation:
how do i find the area and the perimeter of the triangle
Answers
Answer:
Remember what a right triangle is. A right triangle is a triangle that has one right (90 degree) angle.
Recall the Pythagorean Theorem. The Pythagorean Theorem tells us that for any right triangle with sides of length a and b, and hypotenuse of length c, a2 + b2 ...
Look at your triangle, and label the sides "a," "b," and "c". Remember that the longest side of the triangle is called the hypotenuse.
Step-by-step explanation:
Both questions I need help with please!!
Answers
Answer:
15: 58 degrees. 16: Answer D
Step-by-step explanation:
Question 15
All you have to do for this one is to add the angle measures of 22 and 36 degrees together to get the answer of 58 degrees.
Question 16
The interior angles of a triangle will always add up to 180 degrees.
Therefore, 180 - 53 - 21 is the answer, which totals 106 degrees.
what is the median of this data set ?
21,42,63,84,105,126,147
a.21
b.63
c.84
d.126
Answers
Answer:
c. 84 is the answer
Step-by-step explanation:
QUESTIONS
A salt is packed in jars containing 32 grams. How many jars can be filled from 15kg of the salt? [
Answers
Answer:
Number of jars can be filled from 15kg of the salt = 468 or 469 jars (Approx.)
Step-by-step explanation:
Given:
Amount of salt containing in jar = 32 gram
Total amount of salt in jar = 15 kg
Find:
Number of jars can be filled from 15kg of the salt
Computation:
Total amount of salt in jar = 15 kg
Total amount of salt in jar (in grams) = 15 x 1000 g
Total amount of salt in jar (in grams) = 15,000 g
Number of jars can be filled from 15kg of the salt = Total amount of salt in jar (in grams) / Amount of salt containing in jar
Number of jars can be filled from 15kg of the salt = 15,000 / 32
Number of jars can be filled from 15kg of the salt = 468.75
Number of jars can be filled from 15kg of the salt = 468 or 469 jars (Approx.)
Rehan wants to add a fence along his triangular garden whose sides are 14m,16m and 20m. What will be the length of fencing material? Give your answer in cm.
Answers
Answer:
5000cm
Step-by-step explanation:
14 + 16 + 20 = 50m
50m x 100cm/m = 5000cm
The image of the point (-5, 1) under a translation is (-6,3). Find the
coordinates of the image of the point (2, -3) under the same translation.
Answers
Answer:
The coordinates are (1,-1).
Step-by-step explanation:
The image of the point (-5, 1) under a translation is (-6,3).
Point x was -5 and now is -6, and y was 1 and now is 3. Thus, the transaction rule is:
(x,y) -> (x - 1, y + 2)
Find the coordinates of the image of the point (2, -3) under the same translation.
(2,-3) -> (2-1, -3 + 2) = (1,-1)
The coordinates are (1,-1).
Two of the statements are true; one is a lie.
Select the one that is a lie.
Then explain your reasoning.
∠GAF ≌ ∠TAE.
∠TAE and ∠FAH are complementary.
∠TAF is obtuse.
Answers
Answer:
Statement 3
Step-by-step explanation:
∠GAF ≅ ∠TAE
Since, there is no relation between these angles,
Therefore, statement is False.
∠TAE and ∠FAH are complementary.
If the sum of the two angles is 90°, pair of angles is said to be complimentary angles.
Therefore, this statement is False.
∠TAF is obtuse.
Measure of obtuse angle is more than 90°
From the given picture, measure of ∠TAF = m∠TAH + m∠HAF
= 90° + 50°
= 140°
Here, m∠TAF > 90°
Therefore, ∠TAF is an obtuse angle.
Statement (3) is the correct statement.
What is x if 2784 = 36x?
Answers
Answer:
77 1/3
Step-by-step explanation:
to get x you have to divide both sides by 36
2784=36x
x=77 1/3
you can also use an algebra calculator for it
Answer:
77.333
Step-by-step explanation:
So we are given the equation
2784 = 36x
But we need to find the value of just x. So if 36 x = 2784:
2784/36 = x
How did we do this? Well, we divided each side of the equation by 36, which gives us the amazing value of just x.
Solve the equation
77.333 = x
Now, lets check our work:
77.333 x 36 = 2783.88
This is the closest I believe we can get.
Hope this helps!
--Applepi101
Two trains, Train A and Train B, weigh a total of 351 tons. Train A is heavier than Train B. The difference of their weights is 181 tons. What is the weight of each train?
Answers
Answer:
Train A is 266 and Train B is 85
Step-by-step explanation:
If the difference is 181 tons, then subtract the difference to get double the weight of the lightest train.
351 - 181 = 170
170 ÷ 2 = 85
If B is the lightest, B is 85.
For A, either add the difference back or subtract 85 from 351.
85 + 181 = 351 - 85 = 266
Pls help extra points and mark brainlist
Answers
Answer:
IQR = 16
Step-by-step explanation:
IQR = 75% - 25%.
Reading from the box plot: 75% = 22 and 25% = 6.
22 - 6 = 16
Which of the following phrases translates to x - 9?
nine minus a number
nine decreased by a number
the difference between nine and a number
nine subtracted from a number
Answers
Answer:
the difference between nine and a number
Step-by-step explanation:
A plumber can complete a job in 2 hours. If an apprentice helps, it takes only 1 1/3 hours. How long would it take the apprentice working alone?
Answers
Hello there I hope you are having a great day :) You Question A plumber can complete a job in 2 hours. If an apprentice helps, it takes only 1 1/3 hours. How long would it take the apprentice working alone?
(1 1/3) / 2 + (1 1/2) / a = 1
(4/3)a + (4/3)2 = 2a multiply both sides by 2a
(4/3)2 = (2/3)a subtract (4/3)a from both sides
8/3 = 2a/3 simplify
8 = 2a
4 = a
Hopefully that help you :)
A random sample of 25 students in a school shows that the mean number of hours of sleep per night is 7.4 and the MAD
(mean absolute deviation) is 0.4.
Select the statement that is true.
A. The mean of this sample is likely to be the same as the mean number of hours of sleep per night of all students
in the school
B. A random sample of 50 students would likely provide a more accurate estimate of the mean number of hours of
sleep per night
C. Another random sample of 25 students is likely to have a mean between 70 and 7 8.
Answers
I am not sure what the answer is either. I am waiting for somebody to answer
Answer:it’s A
Step-by-step explanation:
What is the effective rate of interest if $1,000 compounds to $1,331 in 3 years?
The effective rate of interest, if $1,000 compounds to $1,331 in 3 years is
%.
Answers
9514 1404 393
Answer:
10%
Step-by-step explanation:
The compound interest formula is ...
A = P(1 +r)^t
Filling in the given values, we have ...
1331 = 1000(1 +r)^3
1.331^(1/3) = 1 +r = 1.1 . . . . . divide by 1000, take the cube root
r = 0.1 = 10% . . . . . . . subtract 1
The effective rate is 10% per year.
What is the lower fence of this data set?
25, 27, 28, 30, 30, 31, 38
Answers
Hope this helps :)
Damian works after school. Each day he is paid a set amount, plus an hourly wage. Look at the table. Choose the linear function f damian can use to find his pay. Hours 1 1.5 2 2.5 3 Pay 18 23 28 33 38 A. f(x) = 10x + 8 B. f(x) = 15x + 3 C. f(x) = 0.5x + 1 D. f(x) = x + 18
Answers
Answer:
On Saturdays, Eve earns $14 per hour for yard work and an extra amount for dog walking. Look ... Choose the linear function f Eve can use to determine her pay. ... Each day he is paid a set amount, plus an hourly wage. ... Hours 1 1.5 2 2.5 3 ... Using the trend line y = 8x + 8, for the data shown, complete the residual table.
Step-by-step explanation:
A circle is cut from a square piece of cloth, as shown.
How many square inches of cloth are cut from the square?
(TT = 3.14)
•1,017,36 in2
•1.182.96 in2
•1276.00 in2
•1.489.24 in2
Answers
Answer:
area of a circle= πr²
= 3.14×18×18×
=1017.36 in²
What is the volume of this figure
Answers
9514 1404 393
Answer:
(c) 27π cubic centimeters
Step-by-step explanation:
The volume is given by the formula ...
V = πr²h
Here, the diameter is given as 6 cm, so the radius is 3 cm and the volume is ...
V = π(3 cm)²(3 cm) = 27π cm³ . . . . . matches the 3rd choice
Find the value of x in the triangle shown below
Answers
Answer:
x= 50
Step-by-step explanation:
area of a triangle is 180
the sides are the same so the bottom 2 angles are the same as well
180 - 80 = 100
100/2 = 50