A large trucking company wants to estimate the proportion of its tracker truck population with refrigerated carrier capacity. A random sample of 200 tracker trucks is taken and 30% of the sample have refrigerated carrier capacity. The 95% confidence interval to estimate the population proportion is _______.

Answers

Answer 1

Answer:

The 95% confidence interval to estimate the population proportion is (0.2365, 0.3635).

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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 200, \pi = 0.3[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3 - 1.96\sqrt{\frac{0.3*0.7}{200}} = 0.2365[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3 + 1.96\sqrt{\frac{0.3*0.7}{200}} = 0.3635[/tex]

The 95% confidence interval to estimate the population proportion is (0.2365, 0.3635).


Related Questions

the price increase of a set of golf clubs is from $250 to $750. What is the percent increase?

Answers

Answer:

300%

Step-by-step explanation:

3 times 250 is 750

HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply

Answers

The possible x-values of the equation are options C and F. These are the + and - values that make the equation true.

Describe how to graph point K at (5, 4) the steps

Answers

Answer:

here is ur answer

A sculpture sits on a pedestal in the shape of a square prism. The side lengths of a base of the prism are 3 feet. The height of the prism is 4 feet. The museum director wants to cover all but the underside of the pedestal with foil that costs $0.22 per square foot. How much will the foil cost?

Answers

Answer:

Total cost of covering the pedestal is $12.54.

Step-by-step explanation:

The pedestal is a square prism so top and bottom are of square shape.

Hence, we have here length = width

We know that the Total Surface Area of a Prism is:

[tex]\text{Total Surface Area = } 2 (l\times w+ w \times h+ h \times l)[/tex]

Where l is length,

w is width and

h is height of prism

We know that here w = l = 3 feet

and h = 4 feet

Also, underside of pedestal is not to be covered.

The underside of pedestal is square type.

So,

[tex]\text{Required Total Surface Area = } l\times w+ 2\times w \times h+2\times h \times l[/tex]

[tex]\Rightarrow 3 \times 3 + 2 \times 3 \times 4 + 2 \times 3 \times 4\\\Rightarrow 9 + 24 + 24\\\Rightarrow 57\ ft^{2}[/tex]

Cost of cover per square foot = $ 0.22

Total cost of [tex]57\ ft^{2}[/tex]  [tex]\Rightarrow 0.22 \times 0.57 = \$12.54[/tex]

A store display shows two red shirts, one blue shirt, and three shirts with red and white stripes. The display also shows two pairs of blue jeans, one pair of white pants, and one pair of white shorts. What is the probability of randomly selecting an item with white or red on it?
A) 1/4 B) 3/10 C)1/2 D) 7/10

Answers

Answer:

its 7/10

Step-by-step explanation:

The probability of randomly selecting an item with white or red on it is 3/10.

What is the probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

A store display shows two red shirts, one blue shirt, and three shirts with red and white stripes.

The display also shows two pairs of blue jeans, one pair of white pants, and one pair of white shorts.

The probability of randomly selecting an item with white or red on it is given by;

[tex]\rm Probability=\dfrac{Total \ number \ of \ items}{Total \ red \ or \ white \ items}\\[/tex]

Total items =  2 + 1 + 3 + 2 + 1 + 1 = 10 itens.

Substitute all the values in the formula

[tex]\rm Probability=\dfrac{Total \ number \ of \ items}{Total \ red \ or \ white \ items}\\\\\rm Probability=\dfrac{3}{10}\\\\[/tex]

Hence, the probability of randomly selecting an item with white or red on it is 3/10.

Learn more about probability here;

https://brainly.com/question/20849420

#SPJ2

2x2+3y=-2 solve for y

Answers

Answer:

y=(-2/3)x^2-(2/3)

Step-by-step explanation:

2x^2+3y=-2

3y=-2x^2-2

y=(-2/3)x^2-(2/3)

Answer:

y= -2

Step-by-step explanation:

2x2+3y=-2

4+3y=-2

Subtract 4 from both sides

3y=-6

Divide both sides by 3

y= -2

In my case, x means multiplied by not a variable.

Peter rolls a fair dice 114 times. How many times would Peter expect to roll a number greater than 1?

Answers

Answer:

A dice of six faces has 5 numbers bigger than 1 (from 2 to 6).

Then, the number Peter is expecting is : 114 x (5/6) = 95 (times)

Hope this helps!

:)

Simplify (-2x^3)2•y•y^9

Answers

Answer: -4x^3 y^10
-2x^3 • 2 = 4 (because 2•2 is 4, they don’t share the same variable so you just multiply the base)
y^9 • y^1 (9+1=10)

-4x^3 y^10

Simplify (-2x^3)^2 •y•y^9       Answer 4x^6y^10

In the diagram below, point P is circumscribed about quadrilateral ABCD. What is the value of x? (Pls answer I give lot of point)

Answers

Answer:

D. 50

Step-by-step explanation:

130+x=180

x=50

What is the mean of the probability distribution?

Answers

Answer:

2.0

Step-by-step explanation:

assuming this is from edge 2.0 is correct

Answer:

c

Step-by-step explanation:

Giving brainliest for CORRECT awnser.

Answers

Answer:

B.

Step-by-step explanation:

So, first off, the quadratic formula is -b plus or minus sqrt(b^2-4ac)/2a. Plug the equation given, and you get B.

Solve: 3x
+ 4 = 5x - 4x - 8​

Answers

Answer:

3x =  - 18

Step-by-step explanation:

1. Simplify this equation in terms of what is already provided:

3x + 4 = 5x - 4x - 8 ⇒ 3x + 4 = x - 8

2. Now subtract 3x from either side, at the same time adding 8 to either side:   3x + 4 = x - 8 ⇒ 4 = -2x - 8 ⇒ 12 = -2x

3. Divide -2 on either side to isolate the x, and recieve it's value:

12 = -2x ⇒ x = 12/-2 ⇒ x = -6

4. The question demads for the value of 3x, so simply multiply the known value of x by 3, as such: x = -6 ⇒ 3x = -6 * 3 = -18

The answer is 3x=-18

Which of the following values of t will result in a true statement when substituted into the given equation? A. t = 8 B. t = -8 C. t = 11 D. t = -12

Answers

Answer:

B

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Jonas is buying a three-day supply of camping snacks. An energy bar costs $1.50, and a bag of dried
mangoes costs $3.00. Jonas plans to have 7 snacks per day and can spend up to $45.00.
If p is the number of energy bars he can buy, and m is the number of bags of mangoes he can buy,
which system of equations and inequalities can be used to represent the possible number of each
snack he can buy?
p+m
21
=
21
p+m = 45
1.5p + 3m
p> 0
m >0
1.5p + 3m < 45
p> 0
m 2 0
1.5p + 3m
3p + 1.5m
p20
m 20
p+m = 21
8p + 1.5m
p> 0
m >0

Answers

Answer:

P+m=21

1.5p + 3m < 45

p > 0

m > 0

Step-by-step explanation:

you roll a cube find the probability of rolling an even number?

Answers

Answer: 1/2

Step-by-step explanation: Note that to roll an even number, we can roll a 2, 4, or 6.

So there are three ways to roll an even number.

Now let's use our ratio for the probability of an event.

P(event) = number of favorable outcomes/total number of outcomes

Since we want to find the probability of rolling a 3, the number of favorable outcomes for rolling a 3 will go on top in the ratio.

Also, remember that a number cube has six total outcomes.

So 6 will go in the bottom of our ratio

So the probability of rolling an even number is 3/6.

However, we can reduced 3/6 to 1/2.

Always reduce when finding probability.

So the probability or likelihood of rolling an even number is 1/2.

After flooding damaged much of the crop, the cost of a head of lettuce jumped from $0.92 to $2.26. What percent of increase is this? Round to the nearest one percent.

Answers

Answer:

146%

Step-by-step explanation:

[tex] percent~change = \dfrac{new~price - old~price}{old~price} \times 100% [/tex]

If the percent change is positive, it is a percent increase.

If the percent change is negative, it is a percent decrease.

Your numbers are

old price = $0.92

new price = $2.26

Plug in the numbers in the formula above and evaluate the expression.

percent change = ($2.26 - $0.92)/($0.92) * 100%

percent change = ($1.34)/($0.92) * 100%

percent change = 1.4565 * 100%

percent change = 146%

Since the percent change is a positive number, it is a percent increase.

Answer: The percent increase is 146%.

subtract 6066 from 294

Answers

Answer:

-5772

Step-by-step explanation:

294-6066=-5772

Answer:

The answer would be 2,772

Step-by-step explanation:

6,066 - 294 = 2,272

I hope that helps!!:)

Part A - find the diameter of the circle?
Part B - Find the circumference of the circle ?

Answers

Answer:

A) 16 cm

B) 50.24 cm

Step-by-step explanation:

Part A:

The diameter is double the radius

The radius is half of the diameter

To work out the diameter you would simply multiply the radius of 8 cm by 2, this gives you 16 cm. This is because the radius is half of the length of the diameter.

1) Multiply 8 by 2.

[tex]8*2=16 cm[/tex]

Part B:

The formula for the circumference of a circle is : [tex]\pi *diameter[/tex]

To work out the Circumference you would multiply the diameter of 16 cm by pi, this gives you 50.24 cm. This is because if you were to substitute the value of the diameter into the formula you would get the same result.

1) Multiply pi by 16.

[tex]\pi*16=50.24[/tex]

Pi in this case is 3.14

Today a shoe store it’s at 20% of the price of a pair shoes and for the next three days it will take 20% of the previous days price if the price of a pair of shoes yesterday was $200 what will be the price of the pair of shoes three days from now
A.160.00
B.128.00
C.102.40
D.81.92

Answers

If the price of the shoe yesterday was $200 and on this day 20 percent has been taken thus it will have $160. In the next 3 days if another 20 percent will be taken out from the previous $160 then the final answer is $128.

ps.. can u give brainly pls :3

Every year, census researchers collect data from 850 public and private hospitals across the United States. Which issue will invalidate the conclusion of the hypothesis test? Group of answer choices The data comes from only 850 hospitals in the U.S. when there are 5,700 hospitals in the U.S. Researchers received more data from public hospitals than from private hospitals. The data is selected by choosing the first 850 hospitals from an alphabetized list.

Answers

Answer:

Option C

Step-by-step explanation:

For a better, clear and unbiased sampling, choosing randomly might not allow for a biased sampling. Choosing in an alphabetical order might not give a representative of the whole hospitals both private and public, thus invigilator the conclusion of our hypothesis test.

Alice and Bob share some money in the
ratio 7:5. Alice got £4 more than Bob. How
much did Alice get?

Answers

Answer:

14

Step-by-step explanation:

7-5 = 2

4/2 = 2

2 x 7 = 14

what are three segments from this figure?

Answers

Answer:

AD, DA, ED, DE

Step-by-step explanation:

Pls help me I give brainliest thank uu and can u do step by step

Answers

Answer:

A. 48,000

Step-by-step explanation:

60 x 20= 1200

1,200 x 40= 48,000

Plz mark brainliest .^.

Answer:

To find the volume you have to multiply all the number together in any order. The order doesn't matter.

Step-by-step explanation:

To find volume=

40*20= 800

then, 800*60= 48,000

since it's in cm and there are 3 numbers then it would be 48,000 cm cubed

A firm produces two types of earphones per year: x thousand of type A and y thousand of type B. The cost function (in thousands of dollars) is given by
C(x,y)=110+80x+130y
If the selling price of type A is p and the selling price of type B is q, the price-demand equations are
p=120-3x+y
q=210+x-7y
Determine how many of each type of earphone should be produced per year to maximize profit? What should be the selling prices p and q? What is the maximum profit?

Answers

Answer:

9000 A and 7000 B should be producedp = 100, q = 170$350,000 is the maximum profit

Step-by-step explanation:

We assume that "p" and "q" are given in dollars, so that the profit function (in thousands of dollars) can be written:

  P = xp +yq -C(x, y)

Profit will be maximized when the partial derivatives of P with respect to x and y are both zero:

  ∂P/∂x = p +x(∂p/∂x) +y(∂q/∂x) -∂C/∂x = 0

  (120 -3x +y) +x(-3) +y(1) -80 = 0

  -6x +2y +40 = 0

  3x -y = 20 . . . . put in standard form

and ...

  ∂P/∂y = x(∂p/∂y) +q +y(∂q/∂y) -∂C/∂y = 0

  x(1) +(210 +x -7y) +y(-7) -(130) = 0

  2x -14y +80 = 0

  x -7y = -40 . . . . put in standard form

__

The solution to these simultaneous equations can be found a variety of ways. Using Cramer's Rule, we have ...

  x = ((-1)(-40) -(-7)(20))/(-1·1-(-7)(3)) = 180/20 = 9

  y = (20(1) -(-40)(3))/20 = 140/20 = 7

9000 type A and 7000 type B earphones should be produced.

__

The corresponding selling prices are ...

  p = 120 -3(9) +7 = 100

  q = 210 +9 -7(7) = 170

The selling prices should be ...

  p = $100, q = $170

__

The maximum profit is ...

  P = xp +yq -C(x, y) = (9)(100) +(7)(170) -(110 +80(9) +130(7))

  P = 9(100 -180) +7(170 -130) -110 = 180 +280 -110

  P = 350

The maximum profit is $350,000.

what is the area of a circle with the equation (x − 6)² + (y + 2)² = 17 ?

Answers

Answer:

17π

Step-by-step explanation:

Equation of a circle is:

(x − h)² + (y − k)² = r²

Area of a circle is:

A = πr²

r² = 17, so A = 17π.

7.5% of what is 7.38?

Answers

Answer:

What =98.4

Step-by-step explanation:

Of means multiply and is means equals

7.5% * What = 7.38

Change to decimal form

.075 * what = 7.38

Divide each side by .075

.075 What /.075 = 7.38/.075

What =98.4

Answer:

the answer for this question is 98.4

A tennis ball machine shoots 21 forehands 25 backhands and 9 lobs if a player missed 6 forehands 17 backhands and 2 lobs how many balls were hit

Answers

Answer:

30

Step-by-step explanation:

55 - 25 = 30

What is the 25th term of this arithmetic sequence?
{8, 5, 2,-1,-4, ...}
Type the correct answer in the box. Use numerals instead of words.

Answers

Answer:

Continue the pattern 24 more times by multiplying 24 terms with 3 subtracted per term

24x3=72

subtract 72 to find the term

8-72=-64

Should be -64 but we will still continue the pattern to double check

8,5,2,-1,-4,-7,-10,-13,-16,-19,-22,-25,-28,-31,-34,-37,-40,-43,-46,-49,-52,-55,-58,-61,-64

-64 is the 25th term

Hope this helps

Step-by-step explanation:

What is the area of this parallelogram

Answers

Answer:

27

Step-by-step explanation:

The area of this parallelogram is its base times height. 6x4.5 is 27.

Hope this helps! (please mark me brainliest)

4. Kevin is using his scanner to make a smaller version of the school logo to put in the yearbook.
The original is 7 by 10 inches. The reduced image is 5.25 by 7.5 inches. What is the scale
factor of the dilation?
Math Accelerated . Chapter 11 Congruence Similarity and Transformations

How would I show my work?

Answers

Answer:

scale factor 2.5

Step-by-step explanation:

Other Questions
Which of the following is an example of the rewards & consequences characteristic of an organization?OOOpay raisetime sheetspay checkpay scale A 200.0 g block rests on a frictionless, horizontal surface. It is pressed against a horizontal spring with spring constant 4500.0 N/m (assume that the spring is massless). The block is held in position such that the spring is compressed 4.00 cm shorter than its undisturbed length. The block is suddenly released and allowed to slide away on the frictionless surface. Find the speed the block will be traveling when it leaves the spring. When do the respiratory and circulatory systems work together?O A. To promote digestionO B. To stop bleedingC. To fight infectionsO D. To supply nutrientsSUBMIT Why did the abolitionist John Brown raid Harper's Ferry? Why was it significant? What is Khrushchevs view of U.S. actions? According to Khrushchev what will happen? the Upper House of Parliament is called Help please If steak costs $8.45 per pound, what will be the total cost of 0.8 pounds of steak? Five-sixths of a number is 45.Find the number. Bruce and Krista are going to buy a new furniture set for their living room. They want to buy a couch, a coffee table, and a recliner. They have narrowed it down so that they are choosing between 4 couches, 5 coffee tables, and 9 recliners. How many different furniture combinations are possible? Traveling 15 miles in 20 minutes, how many miles per hour must you be going? Explain how Johannes Gutenbergs printing press worked. How did this compare to the printing technology that already existed? (Site 1) The amounts of money Gillian earned each week from babysitting are $5, 10, $20, $10, $15, $5, $42, $5. How is the mean of the data set affected when the outlier is removed? Why are the factors of production important to economics? A-They are not important and economic growth can still occur without them B-They are the resources that we are able to get from the land C-they provide everything a persons needs to everyone in the world D-They are the building blocks of the economy and are what people use to produce goods and services Le Centre-Val-de-Loire est une rgion qui est situe au centre de la France, prs de l'Ile de France. True False Which items are found only in plant cells?1, chlorophyll2, chloroplasts3, nucleus4, cytoplasm5, cell membrane6,cell wall7, cellulose -. What are the two steps involved in the creation of proteins? Defineeach. Which step is the job of the ribosomes? Read and choose the option with the irregular verb in the imperfect tense. Cuando ests en Costa Rica, vas a comer con tus primas? Escuchaba cuentos de hadas antes de dormir. Iban a casa de mis tos los domingos. Petra tiene una gata muy consentida. How many joules are produced when 45 gram of copper is placed into water that releases them temperature from 12c to 71c (c)=0.75j/g*c What was Joseph Stalins goal in creating a command economy? (4x2 - 10x + 9) + (6x - 2) =A)4x2 - 4x + 7B)4x2 - 4x + 11C)4x2 - 16x - 7D)4x2 - 16x + 11