Explain which would result in a wider large-sample confidence interval for p: a sample size of n = 100 or n = 400? The sample of size n = 400 is more likely to result in a wider confidence interval because the value of (1-P) decreases as n increases. n P(1-P) The sample of size n = 100 is more likely to result in a wider confidence interval because the value of increases as n decreases. n (1-P) O The sample of size n = 400 is more likely to result in a wider confidence interval because the value of increases as n increases. The sample of size n = 100 is more likely to result in a wider confidence interval because the value of P(1-P) decreases as n decreases.

a. The 90% confidence interval for the proportion of all American households who have at least one dog is (0.636, 0.704). This means we can be 90% confident that the true proportion of all American households who have at least one dog lies within this range.

b. The 90% confidence means that if we were to repeat this poll many times with different samples of American households, we would expect 90% of the resulting confidence intervals to contain the true proportion of all American households who have at least one dog

a) To construct a 90% confidence interval for the proportion of all American households who have at least one dog, we can use the following formula:

CI = p ± zsqrt((p(1-p))/n)

where:

CI is the confidence interval

p is the sample proportion (67% or 0.67 in decimal form)

z is the z-score corresponding to the level of confidence (90% or 1.645 for a one-tailed test)

n is the sample size (750)

Plugging in the values, we get:

CI = 0.67 ± 1.645sqrt((0.67(1-0.67))/750)

CI = 0.67 ± 0.034

Therefore, the 90% confidence interval for the proportion of all American households who have at least one dog is (0.636, 0.704). This means we can be 90% confident that the true proportion of all American households who have at least one dog lies within this range.

b) In this context, 90% confidence means that if we were to repeat this poll many times with different samples of American households, we would expect 90% of the resulting confidence intervals to contain the true proportion of all American households who have at least one dog.

In other words, we can be reasonably sure that our sample proportion of 67% is a good estimate of the true proportion, with a margin of error of about 3.4 percentage points, based on the sample size and the level of confidence we have chosen.

Learn more about confidence interval at https://brainly.com/question/23411442

#SPJ11

Answer:

3/5

Step-by-step explanation:

There are 20 discs in total. We need to find the probability of picking out either a red or yellow disc. There are 6 red discs and 6 yellow discs, a total of 12. This means that our chances of picking out a red or yellow disc from the bag is 12/20, which can be simplified to 3/5.

Answer:

3/5 or 60%

Step-by-step explanation:

Total disks: 6+3+6+5= 20

red+yellow disks: 6+6=12

red+yellow/total disks=12/20

FRACTION:

simplify: 12/20=6/10=3/5

3/5 probability of a red or yellow disk

PERCENTAGE:

12/20=60/100

60% chance of red or yellow

Answer:

a=10

b=37

Step-by-step explanation:

a+5 is equal to the opposite line, 15. 10+5=15 therefore, a must equate to 10

3b is the same angle as 111 therefore 3*b has to equate to 111. 111 divided by 3 equals 37. B has to then equate to 37 to make the proper angle.

Hope my explanation wasn't too confusing, and hope this helps! Good luck!!!

The airplane that cruises 1 kilometer in 1/12 of a minute has a speed of 12 km/min

The formula and procedure we will use to solve this problem is:

v = x/t

Where:

Information about the problem:

Applying the velocity formula, we get:

v = 1 km/ (1/12 min)

v = (1 km * 12) / 1 min

v = 12 km/ 1 min

v = 12 km/min

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

Learn more about velocity at: brainly.com/question/3004254

#SPJ4

Answer:

Hello the required image is missing attached below is the missing box

answer : FHGE

Step-by-step explanation:

The plane representing the top surface of the box is FHGE. there are still other planes there but do not represent the entire top surface of the Box and they are : FGE, HGE, FHG and FHE. This is because a plane can be represented by three to four Noncollinear points on a solid like a box.

Answer:

6 dollars

Step-by-step explanation:

Hope this helps. :))

Answer:

x = -3

Step-by-step explanation:

36(x + 4) = 36

Divide both sides by 36

x + 4 = 1

Subtraact 4 from both sides

x = -3

Answer:

-3

Step-by-step explanation:

Answer:

The interval estimate is:

41.5 - 2.45 ≤ true average time ≤ 41.5 + 2.45

or

38.05 ≤ true average time ≤ 44.95

Inequality notation:

[38.05, 44.95]

The interval estimate that will estimate the true average time that people spend brushing their teeth is [39.05, 43.95] seconds.

Given that the mean time spent brushing teeth from the sample is 41.5 seconds, and the margin of error is 2.45 seconds, we can construct a confidence interval estimate using the formula:

(sample mean) ± (margin of error)

Substituting the given values, we get:

41.5 ± 2.45

Simplifying, we get:

[39.05, 43.95]

Therefore, we can be 95% confident that the true average time that all people spend brushing their teeth falls within this interval.

To learn more about average here:

brainly.com/question/24057012#

#SPJ11

Answer:

y=1152

Step-by-step explanation:

18 x 64 hope I was helpfull

Answer:

113.1 cm³

Step-by-step explanation:

diameter = 2 X radius

Volume of sphere = (4/3) X π X r ³

= (4/3) π (3)³

= 36π

= 113.1 cm³ to nearest tenth

Answer:

(-3, -4)

Step-by-step explanation:

(-5, -5)

2 units right

(-3, -5)

1 unit up

(-3, -4)

just go backwards

Answer:

(-3, -4)

Step-by-step explanation:

The x value in (-5, -5) is -5 and y is -5. To find the original position you reverse the translations done to get to the current position. So you add 2 (because you move 2 units right to reverse) to the x value which gives us -3 and add 1 to the y value (because to reverse we move 1 unit up) which gives us the original y value of -4.

f(x)=7xe^x,a=0,7x + 7x^2 + (35/3)x^3 + (7/2)x^4.

The function f(x) is given by:

f(x) = 7xe^xTo

find the first four nonzero terms of the series for f(x) centered at a=0 using the definition of a Taylor series, we need to use the formula:

f(a) + f'(a)(x-a)/1! + f''(a)(x-a)^2/2! + f'''(a)(x-a)^3/3! + f''''(a)(x-a)^4/4! + ...

The first four nonzero terms will be obtained when we compute the first four derivatives of f(x) and evaluate them at x=a=0.

f(a) = f(0) = 7(0)e^0 = 0

f'(x) = 7e^x + 7xe^x = 7e^x(1+x)

f'(a) = f'(0) = 7e^0(1+0) = 7

f''(x) = 7e^x + 7e^x + 7xe^x = 14e^x + 7xe^x

f''(a) = f''(0) = 14e^0 + 7(0)e^0 = 14

f'''(x) = 14e^x + 14e^x + 7e^x + 7xe^x = 28e^x + 7e^x(1+x)

f'''(a) = f'''(0) = 28e^0 + 7e^0(1+0) = 35

f''''(x) = 28e^x + 28e^x + 14e^x + 7xe^x = 70e^x + 14e^x(1+x)

f''''(a) = f''''(0) = 70e^0 + 14e^0(1+0) = 84

Thus, the first four nonzero terms of the series for f(x) centered at a=0 are:

f(x) = f(a) + f'(a)(x-a)/1! + f''(a)(x-a)^2/2! + f'''(a)(x-a)^3/3!

= 0 + 7(x-0)/1! + 14(x-0)^2/2! + 35(x-0)^3/3! + 84(x-0)^4/4!

= 7x + 7x^2 + (35/3)x^3 + (7/2)x^4

Hence,

f(x)=7xe^x, a=0, the first four nonzero terms of the series are 7x + 7x^2 + (35/3)x^3 + (7/2)x^4.

f(x)=7xe^x,a=0,7x + 7x^2 + (35/3)x^3 + (7/2)x^4.

Learn more about Taylor series from this link:

https://brainly.com/question/6953942

#SPJ11

answer: 2

explanation: womp womp

1. You cancel your plans and stay up all night cramming. You risk being tired during the test, but you think you can cram enough to just maybe pull this off.

   - Risk Response: Mitigation. You're taking an active step to lessen the impact of the risk (not being prepared for the exam) by trying to learn as much as possible in a limited time.

2. You cancel your plans and study for two hours before your normal bedtime and get a good night's rest. Maybe that is going to be enough.

   - Risk Response: Mitigation. You're balancing your time to both prepare for the exam and also ensuring you get a good rest to function properly.

3. You go to dinner but come home right after to study the rest of the night. You think you can manage both.

   - Risk Response: Mitigation. Similar to option 2, you're trying to manage your time to have both leisure and study time.

4. You go to dinner and stay out with your friends afterward. It is going to be what it is going to be, and it is too late for whatever studying you can do to make any difference anyway.

   - Risk Response: Acceptance. You're accepting the risk that comes with not preparing for the exam and are ready to face the consequences.

5. You tell your friends you are sick and tell your professor you are too sick to attend class the next day. You schedule a makeup exam for next week and spend adequate time studying for it.

   - Risk Response: Avoidance. You're trying to avoid the immediate risk (the exam the next day) by rescheduling it for a later date.

6. You pay someone else to take the exam for you. (Note: it happens, although this is a terrible idea. Never do this! it is unethical, and the consequences may be severe.)

   - Risk Response: Transfer. Despite being an unethical choice, this is an attempt to transfer the risk to someone else by having them take the exam for you. Please note, this is unethical and can lead to academic expulsion or other serious consequences.

The new functions are:

(f + g)(x) = 3x - 4

(g - h)(x) = 6x - 4

(f o g)(x) = 2x - 4

(g o h)(x) = -8x - 1

And the value of (f-g)(3) = -2.

To find new functions, we can combine the given functions using arithmetic operations.

(f + g)(x) = f(x) + g(x) = (x - 1) + (2x - 3) = 3x - 4

(g - h)(x) = g(x) - h(x) = (2x - 3) - (1 - 4x) = 6x - 4

(f o g)(x) = f(g(x)) = f(2x - 3) = (2x - 3) - 1 = 2x - 4

(g o h)(x) = g(h(x)) = g(1 - 4x) = 2(1 - 4x) - 3 = -8x - 1

To find (f-g)(3), we need to evaluate the function (f - g) at x = 3:

(f - g)(3) = f(3) - g(3) = (3 - 1) - (2(3) - 3) = 1 - 3 = -2

Learn more about function here

brainly.com/question/2516690

#SPJ4

The given question is incomplete, the complete question is

If  f(x) = x -1, g(x) = 2x - 3, and h(x) = 1 - 4x, find the following new functions, as well as any values (f-g)(3)

(f + g)(x)

(g - h)(x)

(f o g)(x)

(g o h)(x)

The argument form presented represents a valid AAA-2 syllogism, therefore the answer is A. True.

To determine the validity of a syllogism, we need to analyze its structure and whether it conforms to the rules of syllogistic reasoning.

The AAA-2 syllogism has two universal affirmative premises and a universal affirmative conclusion. The argument form can be represented as follows:

All P are M

All S are M

Therefore, all S are P

To determine if this argument form is valid, we need to check if it follows the three rules of syllogistic reasoning:

The middle term (M) must be distributed at least once in the premises.

If a term is distributed in the conclusion, it must be distributed in the premise.

Two negative premises cannot be used in the same syllogism.

Let's apply these rules to the given syllogism.

The first premise "All P are M" distributes the middle term "M" and the second premise "All S are M" also distributes the middle term "M". Thus, the first rule is satisfied.

The conclusion "All S are P" distributes the middle term "M". The middle term is not distributed in either premise, so the second rule is violated.

However, the AAA-2 syllogism is an exception to the second rule. The conclusion can distribute the middle term even if it is not distributed in the premises. Thus, the conclusion "All S are P" is valid.

Finally, the third rule is not violated since there are no negative premises.

Therefore, the argument form presented is a valid AAA-2 syllogism, and the answer is A. True.

To learn more about syllogism here:

brainly.com/question/361872#

#SPJ11

Answer:

The probability is less likely and 2/20

Please mark me as brainliest.

10/38 is what i think it is

Answer:

Step-by-step explanation:

x²-4=0

(x+2)(x-2)=0

x=-2,2

solution is x∈{-2,2}

To compare the greater pay between a salary of $74,000 per year and an hourly rate of $40 for 80 hours every fortnight, we need to calculate the total earnings for each option.

Salary per year:

To calculate the total earnings for the salary option, we simply take the annual salary of $74,000.

Total earnings = $74,000 per year

Hourly rate:

To calculate the total earnings for the hourly rate option, we need to determine the total number of hours worked in a year. Since there are 26 fortnights in a year, and the lawyer works 80 hours per fortnight, the total number of hours worked in a year would be:

Total hours worked per year = 26 fortnights * 80 hours/fortnight = 2,080 hours

Now we can calculate the total earnings:

Total earnings = Hourly rate * Total hours worked per year

= $40/hour * 2,080 hours

= $83,200

Comparing the two options, we find that the greater pay is $83,200 from the hourly rate, which exceeds the $74,000 salary per year.

For such more question on fortnights

https://brainly.com/question/17144117

#SPJ8

Answer:

it could be 1.5 or 1

Step-by-step explanation:

because 1.5 times 2 is 3 and 1 times 2 equals 2

please mark brainliest if it helped

Answer:

No, it can exceed 3

Step-by-step explanation:

the variable could be anything from 600 to 600 million and when you double it's only going to get bigger.

Answer:

25 people

Step-by-step explanation:

These are the pieces of information we know.

- 1/6 who came to the restaurant ordered fish tacos

- There were 30 customers in total

- We need to find the number of people who did not order fish tacos

1. The number of people who ordered fish tacos can be expressed as: 30 x 1/6, which is 5. We know that 5 people ordered fish tacos.

2. Since we want to know the number of people who didn't want fish tacos, we take 5 away from 30: 30 - 5, which is 25.

25 people did not order fish tacos on Tuesday.

Answer:

\(1=3=70^{0} \\2=4=5=110^{0}\)

Step-by-step explanation:

Given angle is 110°

Now,

\(4=2\,\,and\,\,4=5\,\,;[vertical\,\,angle\,\,and\,\,corresponding\,\,angle\,\,respectively ]\)

From the figure,

\(4=110^{0}\,\,;[alternate\,\,angle]\)

\(So,\,\,2=5=110^{0}\)

And, as 1,2,3,4 are vertical angles and 2 = 4 = 110°

1 = 3 = 180° - 110° = 70°

Hope you have understood this.....      

ask me if you have any confusion.....      

if you liked it pls mark it as the brainliest

Answer:

  angle 1  =70 degrees

  angle 2  =110 degrees

  angle 3  =70 degrees

  angle 4 = 110 degrees

  angle 5  =110 degrees

Step-by-step explanation:

1) 110+ angle 1=180(allied angles)

          angle 1=180-110

          angle 1=70 degrees

2)angle 2+ angle 1=180(angles on a straight line)

  angle 2+ 70        =180

       angle 2          =180-70

       angle 2          =110 degrees

3)angle 3+ angle 2=180(angles on a straight line)

    angle 3+ 110       =180

       angle 3           =180-110

       angle 3           =70 degrees

4)angle 4 = 110 degrees (vertically opposite angles)

5)angle 5+ angle 3=180(allied angles)

  angle 5+ 70        =180

            angle 5     =180-70

           angle 5     =110 degrees

Hope you got this .......

If you have any questions regard to this you can ask me.......

There are many ways to do these sums but the answer should be correct......

If you think this is the best answer please mark me as brainliest....

The distance covered by the object is 300 feet's.

We have -  object traveling at a constant velocity of 20 feet per second.

We have to calculate the distance traveled in 15 seconds by the object.

The distance covered by the object can be calculated using the formula -

d = v x t

Where -

v - it is the velocity of object

t - time taken by object

According to question -

v = 20 feet/sec

t = 15 seconds

Hence, the distance covered will be -

d = 20 x 15 = 300 feet's

Hence, the distance covered by the object is 300 feet's.

To solve more questions on distance travelled, visit the link below -

https://brainly.com/question/15206974

#SPJ2

Answer:

I guess, the first one is 8cm, and for the second one it's vector. the answers were kinda in the questions already, but I'm not really sure if my answers were right though.

Answer:

1-true 2-false 3-false 4-true 5-false 6-true 7-true

Step-by-step explanation:

I am a god at Geometry

Answer:

1 and 7

Step-by-step explanation:

Maximum 8A/144 people are allowed to entire the park.

The entire space taken up by the surface of the park is called area.

If the park is rectangular shaped, then the area is the product of length and breadth. If it is square shaped, area can be determined by the square of the side length.

Given, length of unused space = 12 foot

    breadth of unused space = 12 foot

Area of unused space = 12 x 12 = 144 square feet

Maximum 8 people is allowed for every 144 squares feet space

Let, area of the entire park is A square feet

Now maximum number of people allowed = (8 × A)/ 144

hence, 8A/144 people is allowed.

To know more about area visit:

https://brainly.com/question/19477740

#SPJ4

Answer:

  $340

Step-by-step explanation:

You want to know the original price of a desk priced such that $272 is 80% of its original price.

We can write the relation as an equation. If p represents the original price, then we have ...

  $272 = 80% × p

  p = $272/0.80 = $340 . . . . . . . divide by the coefficient of p

The original price is $340.

<95141404393>

the bus value is depreciating, thus is Decay

\(\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &250000\\ r=rate\to 20\%\to \frac{20}{100}\dotfill &0.2\\ t=years \end{cases} \\\\\\ A = 250000(1 - 0.2)^{t} \implies \boxed{A = 250000(0.8)^t} \\\\\\ \stackrel{\textit{after 6 years, t=6}}{A=250000(0.8)^6}\implies \boxed{65536}\)

Answer:

Infinitely many solutions

Step-by-step explanation:

Step 1- Distribute into the parenthesis.

2x+12= 2(x+6)

2x+12= (2)x+(2)6

Step 2- Multiply

2x+12= 2x+12

Since they are equal, they are infinite.

The suitcase weighs 2.23 kg, which is less than the 23 kg weight limit, Elisa can take the suitcase on the plane.

To determine if Elisa's suitcase is within the weight limit of 23 kg, we need to convert the weight of the suitcase from pounds to kilograms.

the suitcase weighs 49 pounds the airline only allowed suitcases that way up to 23 km is it correct weight or not

First, we need to convert 10 kg to pounds: 10 kg * (22 pounds / 1 kg) = 220 pounds

Next, we need to convert 49 pounds to kilograms: 49 pounds / (22 pounds / 1 kg) = 2.23 kg.

Since the suitcase weighs 2.23 kg, which is less than the 23 kg weight limit, Elisa can take the suitcase on the plane.

To learn more about weight limit:

https://brainly.com/question/14375094

#SPJ4

Answer:

6sin^2(x) = 7 - 5cos(x)

6(1 - cos^2(x)) = 7 - 5cos(x)

6 - 6cos^2(x) = 7 - 5cos(x)

6cos^2(x) + 5cos(x) -1 = 0

(6cos(x) - 1)(cos(x) + 1) = 0

cos(x) = 1/6

x = arccos(1/6)

x = 1.40334825 + 2k*pi, 4.87983706 + 2k*pi

cos(x) = -1

x = pi + 2k*pi