Suppose the students construct a 95% confidence interval for the true weight of their rocks. Whose interval do you expect to be more precise (narrower)? (i) The student who weighed the rock 20 times. (ii) The student who weighed the rock 5 times. (iii) Both intervals would be equally precise.

Answers

Answer 1

Answer:

(i) The student who weighed the rock 20 times.

Step-by-step explanation:

The margin of error of a confidence interval is:

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

From the equation above, the larger the size of the sample, the lower the margin is, that is, the narrower the interval is.

In this question:

A student weighed the rock 20 times and other the 5. From above, the one who weighed the rock 20 times will have the more precise interval.

So the correct answer is:

(i) The student who weighed the rock 20 times.


Related Questions

Will give brainliest please explain how

Answers

Answer:

x = 5/4

Step-by-step explanation:

√2+√2+√2+√2 = 2^x

4√2 = 2^x

4√2 = [tex]2^{\frac{5}{2} }[/tex] = [tex]2^{x}[/tex]

x = 5/2

Answer:

x = 5/4

Step-by-step explanation:

√2+√2+√2+√2 = 2^x

4√2 = 2^x

4√2 =  =

x = 5/2

Wich shapes can the the shaded area be divided into to find the area

Answers

Answer:

A. a rectangle and a triangle

Answer:

a) rectangle and triangle, then add both to fin the total area.

Step-by-step explanation:

Suppose that two openings on an appellate court bench are to be filled from current municipal court judges. The municipal court judges consist of 24 men and 3 women. (Enter your probabilities as fractions.) (a) Find the probability that both appointees are men. (b) Find the probability that one man and one woman are appointed. (c) Find the probability that at least one woman is appointed.

Answers

Answer:

[tex](a)\dfrac{92}{117}[/tex]

[tex](b)\dfrac{8}{39}[/tex]

[tex](c)\dfrac{25}{117}[/tex]

Step-by-step explanation:

Number of Men, n(M)=24

Number of Women, n(W)=3

Total Sample, n(S)=24+3=27

Since you cannot appoint the same person twice, the probabilities are without replacement.

(a)Probability that both appointees are men.

[tex]P(MM)=\dfrac{24}{27}X \dfrac{23}{26}=\dfrac{552}{702}\\=\dfrac{92}{117}[/tex]

(b)Probability that one man and one woman are appointed.

To find the probability that one man and one woman are appointed, this could happen in two ways.

A man is appointed first and a woman is appointed next.A woman is appointed first and a man is appointed next.

P(One man and one woman are appointed)[tex]=P(MW)+P(WM)[/tex]

[tex]=(\dfrac{24}{27}X \dfrac{3}{26})+(\dfrac{3}{27}X \dfrac{24}{26})\\=\dfrac{72}{702}+\dfrac{72}{702}\\=\dfrac{144}{702}\\=\dfrac{8}{39}[/tex]

(c)Probability that at least one woman is appointed.

The probability that at least one woman is appointed can occur in three ways.

A man is appointed first and a woman is appointed next.A woman is appointed first and a man is appointed next.Two women are appointed

P(at least one woman is appointed)[tex]=P(MW)+P(WM)+P(WW)[/tex]

[tex]P(WW)=\dfrac{3}{27}X \dfrac{2}{26}=\dfrac{6}{702}[/tex]

In Part B, [tex]P(MW)+P(WM)=\frac{8}{39}[/tex]

Therefore:

[tex]P(MW)+P(WM)+P(WW)=\dfrac{8}{39}+\dfrac{6}{702}\\$P(at least one woman is appointed)=\dfrac{25}{117}[/tex]

Which expression is the result of
10x2 + 50x = ?

Answers

Step-by-step explanation:

10x2 + 50x

10x ( x +5)

Is the result

Which statement(s) could describe the graph of a nonproportional relationship? Select all that apply​

Answers

Answer:

A. The positive y-intercept.

D. The y-intercept is negative.

Step-by-step explanation:

The proportional relationship is defined by the graph passing through the origin i.e. the y-intercept is equal to zero.

The equation of y proportional to x relationship is y = kx, which again denotes that the graph passes through the origin (0,0).

Now, the statements that can describe the graph of a non-proportional relationship are  

A. The positive y-intercept.

D. The y-intercept is negative. (Answer)

The statements that could describe the graph of a nonproportional relationship include:

A. The positive y-intercept.D. The y-intercept is negative.

It should be noted that the proportional relationship is defined by the graph passing through the origin. The equation of y proportional to x relationship is y = kx.

From the information given, the relationship shows that the positive y-intercept and the y-intercept is negative.

Read related link on:

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How do I write the exponent expression below in numbers

Three to the sixth power all divided by two

Answers

Answer:

(3^6)/2

Step-by-step explanation:

make sure everything as the numerator is in parenthesis

What is the domain of the function Y equals cube root x

Answers

Final answer:

The domain of the function y = x^(1/3) (cube root of x) is all real numbers, which is expressed as (-∞, +∞).

Explanation:

The domain of a function describes all the possible values of 'x' for which the function is defined. In the case of the function y = cubic root of x, which is written as y = x^(1/3), the function is defined for all real numbers because you can take the cubic root of any real number, negative, positive, or zero. Hence, the domain of the function y = x^(1/3) is all real numbers, which mathematically is expressed as (-∞, +∞). This is different from the function y = x^2, where the domain must often be restricted to nonnegative numbers to have a well-defined real inverse function.

If f[6} = x ^ -2x , find: f [6} =

Answers

Answer:

1/ 6^12

Step-by-step explanation:

f[x} = x ^ (-2x)

f(6) = 6 ^ (-2*6)

      = 6 ^ -12

   We know the negative exponent moves it to the denominator

     = 1/ 6^12

A company issues 7% bonds with a par value of $200,000 at par on January 1. The market rate on the date of issuance was 6%. The bonds pay interest semiannually on January 1 and July 1. The cash paid on July 1 to the bond holder(s) is:

Answers

Answer:

The cash  paid to the bondholder on July 1 is    Z =  $7000

Step-by-step explanation:

From the question we are told that

  The percentage bond issued by the company is [tex]n = 7[/tex]%

    The par value of the bond is [tex]V =[/tex]$200,000

     The market rate is [tex]r = 6[/tex]%

So we are told that the bonds pay interest semiannually on January 1 and July

So the cash  paid to the bondholder on July 1 is mathematically evaluated as

Z =  [tex]V * \frac{7}{100} * \frac{1}{2}[/tex]        

substituting value

   Z =  [tex]200000 * \frac{7}{100} * \frac{1}{2}[/tex]  

      Z =  $7000

Final answer:

The cash paid on July 1 to bondholders for the company's 7% bonds with a par value of $200,000 is $7,000. This is calculated by first determining the annual interest payment and then dividing by two for the semiannual payment.

Explanation:

Understanding Bond Interest Payments

The question revolves around how much cash is paid to bondholders on July 1 for a company that issued 7% bonds with a par value of $200,000 at par when the market rate was 6%. Since the bonds were issued at par, this implies that the bond's stated interest rate matches the market interest rate at the time of issuance. However, the market rate later does not affect the fixed payments of a bond issued at par.

The interest payment for this bond would be calculated using the face value and the stated annual interest rate, which is then divided by two since interest is paid semiannually. The calculation is as follows:

Calculate the annual interest payment: $200,000 (par value) × 7% (interest rate) = $14,000.Divide the annual interest by two for the semiannual payment: $14,000 ÷ 2 = $7,000.

Therefore, the cash paid on July 1 to the bond holder(s) is $7,000.

What function do you use to find the angle of a vector, when you know its components?

Answers

Answer:

[tex]\theta = tan^{-1}(\frac{y}{x})[/tex]

Step-by-step explanation:

If we are given components of a vector then we can find the angle between them.

Suppose we are given a vector v

[tex]v = (x, y)[/tex]

Where x is the horizontal component and y is the vertical component.

The angle can be found by using

[tex]tan(\theta)=\frac{y}{x}\\\\\theta = tan^{-1}(\frac{y}{x})[/tex]

The magnitude of the vector v can be found using

[tex]v = \sqrt{x^{2}+y^{2}}[/tex]

Example:

Lets do a quick example:

[tex]v = (2, 4)[/tex]

The angle of the vector is

[tex]tan(\theta)=\frac{4}{2}\\\\\theta = tan^{-1}(\frac{4}{2})\\\\\theta = 63.43^{\circ}[/tex]

The magnitude of the vector is

[tex]v = \sqrt{x^{2}+y^{2}}\\\\v = \sqrt{2^{2}+4^{2}}\\\\v = \sqrt{4+16}\\\\v = \sqrt{20}\\\\v = 4.47[/tex]

A study in 2010 reported that 3 in 4 adults in a relationship met their significant other using an online dating site. Recently a popular magazine 'People' claimed that that number has changed. To test this claim a telephone survey of 600 randomly selected adults in a relationship was completed. Of the 600 adults, 480 said that they met their significant other using an online dating site. Does this provide evidence that the proportion has changed? Use α = 0.05, to test the magazine's claim. Conditions: 1. The sample is 2. n p 0 ( 1 − p 0 ) 10 3. n 0.05 N Hypotheses: H 0 : p 0.75 H 1 : p 0.75 Test Statistic: The test statistic is a test statistic. The value of the test statistic is . p-value: The value of the p-value is . Decision: Because the p-value is than α = 0.05, we the null hypothesis. Conclusion: The data the claim that the proportion has changed

Answers

Answer:

Step-by-step explanation:

From the given information,

The required correct answers are,

1. The sample is:

b) simple random sample

2. np0 (1-p0) ___ 10

a) greater than or equal to

3. n ___ 0.05N

b) less than or equal to

Hypotheses:

4. H0:p___0.75

d) =

5. H1:p___0.75

a) ≠

6. The test statistic is a

a) z test statistic

7. test statistic=2.8284

8. p-value=0.0047

Decision:

Because p-value less than Alpha=0.05, we reject null hypothesis.

Conclusion:

The data support the claim that the proportion has changed.

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

p = 3/4 = 0.75

For the alternative hypothesis,

p ≠ 0.75

Considering the population proportion, probability of success, p = 0.75

q = probability of failure = 1 - p

q = 1 - 0.75 = 0.25

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 480

n = number of samples = 600

P = 480/600 = 0.8

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.8 - 0.75)/√(0.75 × 0.25)/480 = 2.53

Recall, population proportion, P = 0.75

The difference between sample proportion and population proportion(P - p) is 0.8 - 0.75 = 0.05

Since the curve is symmetrical and it is a two tailed test, the p for the left tail is 0.75 - 0.05 = 0.7

the p for the right tail is 0.75 + 0.05 = 0.8

These proportions are lower and higher than the null proportion. Thus, they are evidence in favour of the alternative hypothesis. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area above the test z score in the right tail 1 - 0.9943 = 0.0057

We would double this area to include the area in the left tail of z = - 2.53. Thus

p = 0.0057 × 2 = 0.0114

Because alpha, 0.05 > than the p value, 0.0114, then we would reject the null hypothesis.

Therefore, at 5% significance level, this data provide evidence that the proportion has changed.

A major building contractor has 10 new floor plans that she would like to start using in the homes she builds. She wants to know whether her homes will sell for a higher price in the city or the suburbs. She builds two homes—one in the city and one in the suburbs—for each of the 10 floor plans. She uses the same real estate agency to sell all 20 homes and then she calculates the difference in selling price (city – suburb) for each of the floor plans. What is the most appropriate test to analyze her data? a. Two Proportion Z Test b. One Sample T Test c. One Proportion Z Test d. Independent Samples T Test e. Paired T Test

Answers

Answer: d. Independent Samples T Test

Step-by-step explanation: Independent Samples T Test is commonly used when you want to compare the means of two independent groups and determine if there is evidence that the the associated means are significantly different.

For this test, the data must have: continuous dependent variable; independent variable is categorical (two or more groups); cases that have values on both variables; the obervations are independent, i.e. the groups don't interfere on each other; random sample of data for the population; normal distribution of the dependent variable for each group; homogeneity of variances and no outliers.

Each groups should have at least 6 subjects and have the same number of individuals in each group.

The hypothesis in this test can be expressed as:

H₀: μ1 = μ2 or μ1 - μ2 = 0

H₁: μ1 ≠ μ2 or μ1 - μ2 ≠ 0

How can you isolate the variable x-3=7

Answers

to get the variable alone you need to add three to both sides

x-3=7

+3  +3

-----------------

x= 10

Answer:

Step 1: Bring like terms together Step 2: Add variable to both sides Step 3: Simplify Step 4: Add the constant to both sides Step 5: Simplify  Step 6: Divide by the coefficient Step 7: Solve Step 8: Test your solution Answer: 10

Step-by-step explanation:

What are the me and you

What are the x- and y-coordinates of point E, which partitions

the directed line segment from A to B into a ratio of 1:2?

x = ( min )(x2 – x1) + x1

v = l m on Jiva – vi] + vi

(0, 1)

0 (-1,3)

* (-2,5)

(1,0)

Answers

Complete question:

What are the x- and y- coordinates of point E, which partitions the directed line segment from [tex]A\:(- 4,\:9) \:to\: B\:(2,\:- 3)[/tex] into a ratio of 1 : 2.

Answer:

(C) (-2,5)

Step-by-step explanation:

[tex]x = (\dfrac{m}{m+n}) (x_2-x_1) + x_1\\\\y = (\dfrac{m}{m+n}) (y_2-y_1) + y_1[/tex]

[tex](x_1,y_1)=(- 4,\:9),(x_2,y_2)=B\:(2,\:- 3)[/tex]

m=1, n=2

[tex]x = \left(\dfrac{1}{1+2}\right) (2-(-4)) + (-4)\\=\left(\dfrac{1}{3}\right) (2+4)-4\\=\left(\dfrac{6}{3}\right)-4=2-4\\x=-2[/tex]

[tex]y = \left(\dfrac{1}{1+2}\right) (-3-9) + 9\\=\left(\dfrac{1}{3}\right) (-12)+9\\=\left(-\dfrac{12}{3}\right)+9=-4+9\\y=5[/tex]

The x- and y-coordinates of the point E is (-2,5)

Rachel bought two coloring books.
One had 134 pictures and the other
had 309. After one week she had
already colored 145 of the pictures,
How many pictures does she still have
to color?

Answers

Answer:

298 pictures

Step-by-step explanation:

One coloring book has 134 pictures, and other one has 309 pictures. The total will be addition:

134 + 309 = 443 pictures

Rachel colored 145 of them all, so subtract 145 from 443:

443 - 145 = 298

She still has 298 pictures left.

Answer:

298

Step-by-step explanation:

Total pictures:

134 + 309

443

Already coloured: 145

To be coloured: 443 - 145

= 298

What is better, X-Box or Playstation?! Im thinking about buying one of them. Plz help me decide. !WILL MARK BRAINLIEST!

Answers

Answer:

playstation

Step-by-step explanation:

literally everybody owns one lol

Answer:

well i have both

Step-by-step explanation:

heres some pros and cons

PS4 or Xbox One: which one will you choose?  

Both Microsoft and Sony's current generation of gaming consoles inspire fierce loyalty from their respective camps. This means, if you're not already Team PlayStation or Team Xbox, it can be difficult to make a decision between the two.  

To help you make the impossible choice between Microsoft and Sony's current offerings, we've made a comprehensive list of all the key differences – as well as the similarities – to keep in mind when buying an Xbox One or PS4.

There's certainly no doubt that the PlayStation 4 has taken the lead in sales, but both have their pros and cons – and the mid-gen refresh has certainly given us a lot more to think about when weighing those up.

Solve: tan(x)-cos^2(x)=sin^2(x)

Answers

Answer:

x = 45 degrees +180 n  where n is an integer

Step-by-step explanation:

tan(x)-cos^2(x)=sin^2(x)

Add cos^2(x) to each side

tan(x)-cos^2(x)+ cos^2(x)=sin^2(x)+ cos^2(x)

tan(x)=sin^2(x)+ cos^2(x)

We know that sin^2(x)+ cos^2(x) = 1

tan (x) =1

Take the inverse tan of each side

tan ^-1 ( tan x) = tan ^-1 (1)

x = 45 degrees +180 n  where n is an integer

Answer:

Pi/4+kpi

Step-by-step explanation:

X= 45 degrees and on unit circle that is pi/4

1+2x-3x-4 I need it please

Answers

Answer:

Simplified as -3 - x

Step-by-step explanation:

I know, you want to simplify this answer.

So.

1 + 2x - 3x - 4 = 1 - x - 4  =  -3 - x

382
Which equation represents a circle with a center at (-3, -5) and a radius of 6 units?
(x-3)2 + (y – 5)2 = 6
(x - 3)2 + (x - 5)2 = 36
(x + 3)2 + (y + 5)2 = 6
(x + 3)2 + (y + 5)2 = 36

Answers

Answer:

(x+3)^2 + (y+5)^2 = 36

Step-by-step explanation:

We can write the equation of a circle as

(x-h)^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x--3)^2 + (y--5)^2 = 6^2

(x+3)^2 + (y+5)^2 = 36

The range of the secant function is?

Answers

Answer:

1. Where are the vertical asymptotes on the graph of the secant function?

choice A: x = π /2 + nπ

2. The range of the secant function is

answer:  y ≤  -1  or y ≥  1

3. What is the period of the secant function?

Choice C : 2π

Step-by-step explanation:

there are 3 questions on this page.

correct on edge

The range of secant is  y ≤  -1  or y ≥  1.

What is a range in the function?

The range of a function is the set of its possible output values.

As we know the vertical asymptotes of the secant function

x = π /2 + nπ

and, The range of the secant function is

 y ≤  -1  or y ≥  1

Learn more about range here:

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10 percent of what number is 350

Answers

Answer:

3500

Step-by-step explanation:

multiply 10*350

3500

because 350 x 100 / 10 = 3500

UPOOD

The area of a square is given by s2 and the perimeter is given by 4s, where s is the side length of the square,

If the side length of a square is 4 inches, its area is

16.6 square inches and its perimeter is

074 Inches.

Reset

Next

Answers

Answer:

If the side length of a square is 4 inches, it's Area is 16 inches, and Perimeter is 16 inches.

Step-by-step explanation:

Given that the Area = s²

Perimeter = 4s

Side length of the square = s

If the length of a square is 4 inches, then applying the above formulas, we have

s = 4 inches

Area = 4² = 16 inches

Perimeter = 4s = 4×4 = 16 inches

Final answer:

The area of a square with a side length of 4 inches is 16 square inches and its perimeter is 16 inches. Doubling the side length to 8 inches yields an area that is four times greater, 64 square inches, due to the squared relationship between side length and area.

Explanation:

Understanding Square Area and Perimeter

A student has posed a question about the properties of squares. We are given that the side length of a square is 4 inches. From this, we can calculate the square's area and perimeter. The area of a square is found by squaring the length of its side (s2), which in this case would be 4 inches × 4 inches = 16 square inches. The perimeter is the length around the square, calculated by multiplying the side's length by 4, yielding 4 inches × 4 = 16 inches.

By understanding the formulas for area (s2) and perimeter (4s), students can solve many geometrical problems related to squares. For instance, if the dimensions of a square are to be doubled, the new side length would be 4 inches × 2 = 8 inches, resulting in an area of 8 inches × 8 inches = 64 square inches, which is four times the original area, demonstrating that the area scales with the square of the linear dimensions.

Nancy shot a 24 on 4 holes of golf. At this rate, what can she expect her score to be if she plays all 18 holes?

Answers

Answer:

  108

Step-by-step explanation:

"At this rate, ..." means we're to assume Nancy's score is proportional to the number of holes:

  score/18 = 24/4

Multiplying by 18, we get ...

  score = 18(24/4) = 18(6) = 108

Nancy can expect a score of 108 on 18 holes.

Translate the sentence into an inequality.
Six subtracted from c is at least 20.

Answers

Answer:

6 - c </= 20

Step-by-step explanation:

(1) Saad had a box that is 15cm by 20cm by 22cm. What is the volume of the box?

(2) jake is redoing her kitchen. It measures 18ft by 19 ft. If wallpaper costs $1.29 per foot, how much will it cost her to wallpaper the kitchen?

Answers

Answer:

Question1:volume=6600cm^3

Question2:cost=$441.18

Step-by-step explanation:

Question 1:

volume=length x width x height

Volume=15 x 20 x 22

Volume=6600cm^3

Question 2:

area of kitchen=length x width

Area of kitchen=18 x 19

Area of kitchen=342ft^2

$1.29 for 1ft^2

$b for 342ft^2

$b=342 x1.29

$b=$441.18

Your Cabaret nightspot "Jazz on Jupiter" has become an expensive proposition: You are paying monthly costs of $70,000 just to keep the place running. On top of that, your regular cabaret artist is charging you $2900 per performance, and your jazz ensemble is charging $800 per hour. Set up a (monthly) cost function for the scenario. (Let C represent the monthly cost in dollars, x represent the number of performances by the cabaret artist per month and y represent the number of hours of jazz per month.) C(x, y)

Answers

Answer:

The monthly cost function for the scenario C(x,y) is;

C(x,y) = 70,000 + 2900x + 800y

Step-by-step explanation:

Let C represent the monthly cost in dollars.

x represent the number of performances by the cabaret artist per month

and y represent the number of hours of jazz per month

Given;

monthly costs of $70,000

regular cabaret artist is charging you $2900 per performance.

Per month = $2900x

your jazz ensemble is charging $800 per hour.

Per month = $800y

The monthly cost function for the scenario C(x,y) is the sum of all the costs;

C(x,y) = 70,000 + 2900x + 800y

What is the value of this expression when a=3 and b=-1?

Answers

Answer:

1/4

Step-by-step explanation:

[tex](\dfrac{3(3)^{-2}(-1)^6}{2(3)^{-1}(-1)^5})^2=[/tex]

[tex](\dfrac{\frac{1}{3}}{-\frac{2}{3}})^2=[/tex]

[tex](-\dfrac{1}{2})^2=[/tex]

[tex]\frac{1}{4}[/tex]

Hope this helps!

the height of the two triangular faces is 5.2 centimeters. the surface area of the triangular prism is ____ square centimeters.

Answers

The surface area of the triangular prism is 171.2 square centimeters.

From the given triangular prism,

Area of base (rectangle) = Length×Breadth

= 8×6=48 square centimeter

So, area of 3 congruent rectangles = 3×48

= 144 square centimeter

Here, area of a triangle = 1/2 × Base × Height

= 1/2 ×6×5.2

= 15.6 square centimeter

So, area of 2 congruent triangles= 2×15.6

= 31.2 square centimeter

Total surface area = 144+31.2

= 171.2 square centimeter

Therefore, the surface area of the triangular prism is 171.2 square centimeters.

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You are interested in purchasing a new car. One of the many points you wish to consider is the resale value of the car after 5 years. Since you are particularly interested in a certain foreign​ sedan, you decide to estimate the resale value of this car with a 99​% confidence interval. You manage to obtain data on 17 recently resold​ 5-year-old foreign sedans of the same model. These 17 cars were resold at an average price of $ 12 comma 260 with a standard deviation of $ 800. Suppose that the interval is calculated to be (11693 comma 12827 ). How could the sample size and the confidence coefficient be altered in order to guarantee a decrease in the width of the​ interval?

Answers

Answer:

If we want to guarantee a decrease in the width of the confidence interval we need to analyze the margin of error given by:

[tex] ME = t_{\alpha/2} \frac{s}{\sqrt{n}}[/tex]

The width of the confidence interval is just defined as two times the margin of error:

[tex] Width = 2ME[/tex]

And then we can decrease this width of the interval we need to increase the sample size in order to have a greater number in the denominator for the margin of error and that implies a reduction in this width for the confidence interval at the confidence level fixed of 99%

By the other hand if we increase the confidence level then the width would be larger and in the other case when we decrease the confidence level the width would be lower.

Step-by-step explanation:

For this case w ehave the following info given from the problem

[tex] n =17[/tex] represent the sample size for the cars selected

[tex]\bar X = 12260[/tex] represent the average price for the cars sold

[tex] s= 800[/tex] represent the standard deviation for the solds

And we have a 99% confidence interval for the true average price for the cars given:

[tex]11693 \leq \mu \leq 12827[/tex]

And we know that the confidence interval for the true mean is given by this formula:

[tex] \bar X \pm t_{\alpha/2} \frac{s}{\sqrt{n}}[/tex]

If we want to guarantee a decrease in the width of the confidence interval we need to analyze the margin of error given by:

[tex] ME = t_{\alpha/2} \frac{s}{\sqrt{n}}[/tex]

The width of the confidence interval is just defined as two times the margin of error:

[tex] Width = 2ME[/tex]

And then we can decrease this width of the interval we need to increase the sample size in order to have a greater number in the denominator for the margin of error and that implies a reduction in this width for the confidence interval at the confidence level fixed of 99%.

By the other hand if we increase the confidence level then the width would be larger and in the other case when we decrease the confidence level the width would be lower.

What percent is 7 out of 40?​

Answers

Answer:

17.5%

Step-by-step explanation:

Convert fraction (ratio) 7 / 40 Answer: 17.5%

Answer:

17.5

Step-by-step explanation:

7/40 = 17.5

Hope this helps! Please mark brainliest :)

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You desire to observe details of the Statue of Freedom, the sculpture by Thomas Crawford that is the crowning feature of the dome of the United States Capitol in Washington, D.C. For this purpose, you construct a refracting telescope, using as its objective a lens with focal length 89.7 cm. In order to acheive an angular magnification of magnitude 5.53 , what focal length f e should the eyepiece have? Andrew, a resident of California, received an advertising circular in the U.S. mail announcing a new line of regional cookbooks distributed by the Every Kind Cookbook Co. Andrew didn't want any books and threw the circular away. Two days later, Andrew received in the mail an introductory cookbook entitled Lower Mongolian Regional Cookbook, as announced in the circular, on a "trial basis" from Every Kind. Andrew did not go to the trouble to return the cookbook. Every kind demanded payment of $20.95 for the Lower Mongolian Regional Cookbook. Discuss whether Andrew can be required to pay for the book? what does perilous mean Where did most of the fights in world war 2 take place Assume there are 20 people in a room, including you. You must shake hands with everyone else in the room. How many hands will you shake? If there are N (where N > 0) people in the room, how many hands will you shake? Help me plzI am gonna go swimming on Sunday with my mom for Mothers Day! My grandma doesnt let because she thinks that there is a lot of people and that Im gonna get coronavirus...how do we convince her to let me go? She said if I go I cant come home afterwards for 14 days What form does carbon take in the atmosphere dooood is this answer dependent??????????????????? Cooking Time How does the character of Mandy contribute to the theme of the story? PLEASE HELP!!!!!!!!!!!! WILL GIVE CORRECT ANSWER BRAINLIEST!!!!!!!!!the diagram below shows the rectangle LINT. Find the perimeter of the rectangle LINT. if entering your answer as a decimal, round your final answer to the nearest hundredth(pls ignore the messy screen) What does a "fractional reserve banking system" mean?one that keeps only a small part of customers' deposits on handone that must keep most deposited money in reserveone that is required to report daily deposits to the Federal Reserveone that uses fractional paper currency as well as coins What term generally describes small chunks of rocks and debris in space?A.meteoritesB.meteoroidsC.meteorsD.meteorides Which inequality describes all the solutions to 5(3 - x) < -2x + 6?A X 3O c. xx-3D. X>7 Consider the following balance sheet for TD. Assets Liabilities Reserves 493 Deposits 2900 Loans 2407 4. Suppose that TD is a typical bank and keeps only the required reserves. Given this data, what is the money multiplier? 5. Suppose that TD is a typical bank and keeps only the required reserves. In addition, suppose that someone deposited $700. Given this data, what is the total change in the M1 Money Supply? 6. Suppose that someone deposited $700 at TD Bank. Given this data, what is the minimum amount by which the money supply will increase? Look at the paragraph that begins on page 4and ends on page 5. How does Henry respond tothe claim that the country is not yet strongenough to fight the British?He suggests retreat as a viable alternative toinaction.He recommends submitting a new petition to thethrone.He suggests that the British will continue growing instrength.He delineates a time line for the military to gainstrength. A rectangle's length is three times its width, w. Its area is 243 square units. Which equation can be used to find the width ofthe rectangle?w = 3(243)3w2 = 2434w = 2433w2 = 3(243) Find the slope and the y-intercept of the line.- 6x + 3y = -9Write your answers in simplest form.slope:EUndefinedy-intercept: What is the meaning of the Ninth Amendment? A. Citizens of the United States can only claim those rights that are specifically mentioned in the U.S. Constitution. B. Duties not specifically mentioned by the Constitution are to be undertaken by the States. C. The rights mentioned in the Constitution must be granted to citizens by the federal and state governments. D. Just because certain rights are specifically mentioned in the Constitution, it doesn't mean other rights shall be denied. The coordinate (0,0) is a point on the graph y = 2x.TrueFalse Which are functions of the skin? Check all that apply.O helps control body temperaturemoves parts of the bodyO serves as a barrier of protectionOreleases waste materialsoproduces vitamin AOgives the body support and shape Steam Workshop Downloader