HELP PLEASE WILL MARK BRAINLIEST TO BEST ANSWER

The number of randomly selected Americans that must be surveyed is equal to 38 if the confidence interval is 97.5% with a 0.16 margin of error.

First, we calculate the critical value as follows;

a = (1 - 0.975) = 0.025 = 0.025 / 2 = 0.0125 = (1 - 0.0125) = 0.9875

Z - Critical value = NORM.S.INV (0.9875) = 1.96

As margin of error(ME) = 0.16

Therefore;

n = pq(Z²) / ME²

n = 0.5 × 0.5 (1.96)² / (0.16)²

n = 0.25 × 3.8416 / 0.0256

n = 0.9604 / 0.0256

n = 37.515

Rounding it to the nearest whole number;

n = 37.515 = 38

Hence 38 randomly selected Americans must be surveyed if the estimated confidence interval is 97.5% and the margin of error is 0.16.

To learn more about confidence interval, click here:

https://brainly.com/question/14825274

#SPJ4

From the total of 300 workers in the factory :

a. Number of men = 200 and Women = 100

b. Number of workers works in the morning = 225

c. Number of workers unionized are 150.

d. Number of workers trustworthy are 50.

Total number of workers in the factory are 300.

a. Fraction of men in the factory are ( 2/3)

= 2/3 of 300

= 200

Women

= 300 -200

= 100

b. Number of workers in the morning shift are

= 3/4 of 300

= 225

c. Total number of workers unionized

= 1/ 2 of 300

= 150

d. Number of trustworthy workers

= 1/6 of 300

= 50

Therefore, out of 300 workers in the factory answer of the following questions are:

a. Number of men and women work in the factory are 200 and 100 respectively.

b. Number of workers works in the morning is 225.

c. Unionized workers = 150

d. Trustworthy workers = 50.

The above question is incomplete , the complete question is :

The Factory has 300 workers of which 2/3 are men, 3/4 work in the morning, 1/2 are unionized and 1/6 are trusted personnel.

a. How many men work in the factory and how many women?

b. How many workers work in the morning?

c. How many are unionized?

d. How many are trustworthy?

Learn more about workers here

brainly.com/question/16603887

#SPJ4

The candle burns at a rate of 1.25 inches per hour. This means that every hour, the length of the candle decreases by 1.25 inches until it burns down completely after 10 hours.

The rate at which the candle burns down can be calculated as the ratio of the length of the candle to the time it takes to burn down completely. In this case, the candle is 12 1/2 inches long and burns down in 10 hours.

To find the rate, we divide the length of the candle (in inches) by the time it takes to burn down (in hours):

Rate = Length / Time

Rate = 12.5 inches / 10 hours

Rate = 1.25 inches per hour

Therefore, the candle burns at a rate of 1.25 inches per hour. This means that every hour, the length of the candle decreases by 1.25 inches until it burns down completely after 10 hours.

It's important to note that the rate of burning may not be constant throughout the life of the candle, as the wax may melt more quickly towards the end when the flame is larger. However, this calculation assumes a constant rate of burning over the entire 10 hours.

Learn more about hours here:

https://brainly.com/question/13349617

#SPJ11

Answer:

i hope this helps you

Hello,

\(2(x - 3) + 2x = 22\)

\(2x - 6 + 2x = 22\)

\(4x - 6 = 22\)

\(4x = 22 + 6\)

\(4x = 28\)

\(x = \frac{28}{4} = 7\)

Answer:

     -4.2

Step-by-step explanation:

Taking the expression at face value, it is ...

  42/-10 = -42/10 = -4.2

_____

Comment on "standard form"

In the US, a number is in standard form if it is written as a sequence of decimal digits and a decimal point (if there is a fractional part), usually with no leading zeros (left of the decimal point). The sign is prepended to that digit string, as shown above.

In the UK, a number is in standard form if it is written in "scientific notation." The rule for writing a number in standard form is that first you write down a number between 1 and 10, then you write ×10(to the power of an integer). Usually powers of 0, or multipliers of 1, are not written. Then the number here is still -4.2, rather than -4.2×10⁰.

The chance of finding both turtle doves can be calculated by multiplying the probability of finding the first turtle dove by the conditional probability of finding the second turtle dove given that the first one was found.

Let's denote the event of finding the first turtle dove as A and the event of finding the second turtle dove as B. We are given that the probability of finding A is 0.8 and the conditional probability of finding B given A is 0.6.

The chance of finding both turtle doves can be calculated as follows:

P(A and B) = P(A) * P(B|A)

Substituting the given probabilities, we have:

P(A and B) = 0.8 * 0.6

Calculating the product, we find:

P(A and B) = 0.48

Therefore, the chance of finding both turtle doves is 0.48 or 48%.

To learn more about probability  Click Here: brainly.com/question/31828911

#SPJ11

(1) One of the six countries sent 41 representatives to the congress --> obviously x6=41x6=41 --> x1+x2+x3+x4+A=34x1+x2+x3+x4+A=34.

Given: x1<x2<x3<x4<A<x6x1<x2<x3<x4<A<x6 and x1+x2+x3+x4+A+x6=75x1+x2+x3+x4+A+x6=75. Q: is A≥10A≥10

Can A≥10A≥10? Yes. For example: x1=2x1=2, x2=3x2=3, x3=8x3=8, x4=10x4=10, A=11A=11 --> sum=34sum=34 (answer to the question YES);

Can A<10A<10? Yes. For example: x1=4x1=4, x2=6x2=6, x3=7x3=7, x4=8x4=8, A=9A=9 --> sum=34sum=34 (answer to the question NO).

(2) Country A sent fewer than 12 representatives to the congress --> A<12A<12.

The same breakdown works here as well:

Can 12>A≥1012>A≥10? Yes. For example: x1=2x1=2, x2=3x2=3, x3=8x3=8, x4=10x4=10, A=11A=11, x6=41x6=41 --> sum=75sum=75 (answer to the question YES);

Can A<10A<10? Yes. For example: x1=4x1=4, x2=6x2=6, x3=7x3=7, x4=8x4=8, A=9A=9, x6=41x6=41 --> sum=75sum=75 (answer to the question NO).

(1)+(2) The given examples fit in both statements and A in one is more than 10 and in another less than 10. Not sufficient.

Let x and Y represent the unknowable costs of a single hot dog and soft drink, respectively. We require two equations in order to solve for the two unknowns.

Equation 1 states that ten hot dogs and five soft drinks cost $35, or 10x + 5y = 35.

Equation 2: The total cost of 7 hot dogs and 4 soft drinks is $25.25, or 7x + 4y = 25.25.

Let's start by reformulating equation 1 to account for y:

10x + 5y = 35

5y = 35 - 10x  

y = 7 - 2x    

Let's change y in equation 2 to be 7 - 2x:

7x + 4y = 25.25

7x + 4(7 - 2x) = 25.25

Simplifying the above equation,

7x + 28 - 8x = 25.25

-x + 28 = 25.25

Then we get,

x - 28 = -25.25

Calculate x, which is the price of a single hot dog. Use y = 7 - 2x to calculate the price of a single soft drink after you have that information.

To learn more about unknowable costs, refer to:

https://brainly.com/question/20421777

#SPJ1

Answer:

thats the answer

Answer:

B:  g(x) = Ix - 4I + 6

Step-by-step explanation:

First, let's describe in a general way the transformations.

Vertical shift.

For a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

If N is positive, the shift is upwards

If N is negative, the shift is downwards.

Horizontal shift.

For a function f(x), a horizontal shift of N units is written as:

g(x) = f(x + N)

If N is positive, the shift is to the left.

If N is negative, the shift is to the right.

Now we have the function:

f(x) = IxI

And we first have a shift of 4 units to the right, this is written as:

g(x) = f(x - 4)

Now we have a shift of 6 units up

This is written as:

g(x) = f(x - 4) + 6

Now, knowing that f(x) = IxI, we can write

g(x) = Ix - 4I + 6

Option B.

The probability of throwing an odd number with a normal dice is 1/2

When rolling a normal six-sided B, there are six equally likely outcomes: 1, 2, 3, 4, 5, and 6. Out of these six numbers, three of them (1, 3, and 5) are odd numbers. Thus, there are three favorable outcomes (odd numbers) out of a total of six possible outcomes.

To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes. In this case, the probability of throwing an odd number is 3/6, which simplifies to 1/2.

This means that there is a 50% chance of rolling an odd number with a normal six-sided die. In other words, if you roll the die many times, you can expect that approximately half of the outcomes will be odd numbers.

Learn more on probability here;

https://brainly.com/question/24756209

SPJ4

The university grew at an average percentage rate of approximately 15.36% per year.

1. In order to find the average percentage growth rate, we will use the formula for geometric mean growth rate:
Growth Rate = ((Ending Value / Starting Value)^(1 / Number of Years)) - 1
2. In this case, the starting value is 1,200 students, the ending value is 5,200 students, and the number of years is 10.
Growth Rate = ((5,200 / 1,200)^(1 / 10)) - 1
3. Calculate the values:
Growth Rate = (4.3333^(1 / 10)) - 1
Growth Rate = 1.1536 - 1
Growth Rate = 0.1536
4. Convert the decimal to a percentage:
Growth Rate = 0.1536 * 100 = 15.36%

Hence, Based on the geometric mean, the local university grew at an average percentage rate of approximately 15.36% per year over the 10-year period.

learn more about geometric mean click here:

https://brainly.com/question/28562725

#SPJ11

Answer:

7997.06 is the awnser to the question

Answer:7997.06

Step-by-step explanation:

First you would take the circumference ( 50, 2247)  and divide it by pi to get the diameter. You would get 15994.11685. Which I rounded to 15994.12. Then I would divide that by 2, and get 7997.06.

Answer:

30.66

Step-by-step explanation:

\(~~~~~~|x -1| =3\\\\\implies x-1 = 3~~~~~~~ \text{or}~~~~~~~ x -1 = -3\\\\\implies x = 3+1~~~~~~~\text{or}~~~~~~~~ x = -3 +1\\\\\implies x = 4~~~~~~~~~~~~ \text{or}~~~~~~~~~ x = -2\\\\\text{Solution set:}~ \{-2,4\}\)

first case

\(|x-1|=3\\\\x-1=3\\\\x=4\)

second case

\(-|x-1|=3\\\\-x+1=3\\\\-x=2\\\\x=-2\)

The solutions are {-2, 4}

Step-by-step explanation:

The solution is too long so i m just giving u answer

\(y = (0 \: or \: - \frac{9}{5} )\)

Answer:

J' = -3, -3

K' = -3, 4

Step-by-step explanation:

You can count the vertices to the left by 6 and down by 3

Or you can subtract

J' = 3 - 6  ,  0 - 3

K' = 3 - 6  , 7 - 3

a) The parameter of interest is the percentage of mail items received at the dorm that are considered packages. This can be denoted as p, where p is the proportion of packages out of all mail items received at the dorm. A confidence interval would be most appropriate for this inference procedure.

b) The parameter of interest is the difference in the average number of packages sent from online retailers to a neighborhood in Champaign and the average number of packages sent from online retailers to a neighborhood in Urbana. This can be denoted as μ1 - μ2, where μ1 is the average number of packages sent to Champaign and μ2 is the average number of packages sent to Urbana. A hypothesis test would be most appropriate for this inference procedure.

c) The parameter of interest is the difference in store pick-up rates between all cookies and all cakes sold by the bakery. This can be denoted as p1 - p2, where p1 is the proportion of cookies that are picked up in store and p2 is the proportion of cakes that are picked up in store. A confidence interval would be most appropriate for this inference procedure.

d) The parameter of interest is the association between the weight of the package and the delivery time. This can be denoted as ρ, where ρ is the correlation coefficient between the weight of the package and the delivery time. A hypothesis test would be most appropriate for this inference procedure.

More on average : https://brainly.com/question/130657

#SPJ11

For the farmer it is efficient to use the optimal feed mix is approximately 3.61 kg of corn feed and 3.39 kg of wheat feed. The Total optimal cost is approximately $8.89

To find the optimal feed mix that minimizes cost, we can set up a linear programming problem. Let's denote the amount of corn feed used as 'x' in kilograms and the amount of wheat feed used as 'y' in kilograms.

Objective function:

The cost can be expressed as the sum of the cost of corn feed (0.40x) and the cost of wheat feed (0.45y).

Cost = 0.40x + 0.45y

Constraints:

1. Protein constraint: The total protein in the feed mix should be at least 650 g per cow.

  100x + 150y ≥ 650

2. Starch constraint: The total starch in the feed mix should be at least 4000 g per cow.

  750x + 700y ≥ 4000

3. Quantity constraint: Each cow should be fed at most 7 kg of feed per day.

  x + y ≤ 7

Non-negativity constraint: x ≥ 0, y ≥ 0

To solve this linear programming problem, we can graph the feasible region and find the vertices to evaluate the objective function.

After solving, we find that the optimal feed mix is:

- Approximately 3.61 kg of corn feed

- Approximately 3.39 kg of wheat feed

The optimal cost is:

- Approximately $8.89

Learn more about linear programming  here:

https://brainly.com/question/29405467

#SPJ11

Answer:

1008

Step-by-step explanation:

like the 2nd picture we split it in 3 rectangular prism

\(V_{1}\)=6*7*8=336

\(V_{2}\)=6*7*8=336

\(V_{3}\)=6*7*8=336

V=336+336+336=1008

Quantitative data can be further classified as continuous or nonsequential is false.

Can continuous quantitative data exist?

To know more about quantiative check the below link:

https://brainly.com/question/14037311

#SPJ1

Answer:

True

Step-by-step explanation:

Answer:

Step-by-step explanation:

ratttt

Answer:

a.   y = -2x + 7

b.   y = -⅔x + 4

c.   y = ⅔x - 7/6

Plz mark brainliest:)

The height and radius of the cup are 4.41 cm and 2.07 cm respectively

To minimize the amount of paper used, we need to minimize the surface area of the cup. Let h be the height and r be the radius of the cone. Then we have:
\(Volume of cone = \frac{1}{3}  πr^{2} h = 36 cm^{3}\)

Solving for h, we get:
\(h = \frac{108}{(πr^2)}\)

Now we can express the surface area of the cone as:
\(Surface area = πr^2+ πr\sqrt{r^{2}+h^{2}  }\)

Substituting the expression for h, we get:

\(Surface area = πr^2+πr \sqrt{(r^{2} +(\frac{108}{(πr^2)^{2}) } )}\)

To minimize this function, we take its derivative with respect to r and set it equal to zero:
\(\frac{d}{dx} (Surface area) =  \frac{2πr - 108r }{[(r^2+(\frac{108}{πr^2}))^{0.5}  }] - \frac{108π}{r^2 }  = 0\)

Simplifying, we get:
\(2r^3 - \frac{108^2}{π} = 0\)

Solving for r, we get:
\(r = (\frac{54}{π})^{\frac{1}{3} }\)

Substituting this value into the expression for h, we get:
\(h = \frac{108}{\frac{54}{π} ^{(\frac{2}{3}π )} }\)

Thus, the height and radius of the cup that will use the smallest amount of paper are:
height = 4.41 cm
radius = 2.07 cm (rounded to two decimal places)

To know more about "Volume of cone" refer here:

https://brainly.com/question/1984638#

#SPJ11

Answer:

\({}\)                                                                                                    XY                \(\overline {XY}\)

Represent a distance \({}\)                                                                 √

Represent a segment \({}\)                                                                                     √

Represent a numerical value \({}\)                                                     √

Represent a geometric figure                                                                           √

Can be found by applying the ruler postulate  \({}\)                         √

Can be be duplicated with a compass and a straight edge                          √

Step-by-step explanation:

The difference between XY and \(\overline {XY}\) are that the points XY represents the distance between two points having a numerical value whose value can be found by using a ruler to find difference in the numbers on the ruler that coincides with the points, while

The range of the test scores in Mr. Miller's math class is 42.

Mathematically, the range refers to the difference between the highest value and the lowest value in a data set.

The range is computed by subtraction of the lowest value from the highest value.

Mr. Miller can use the range to measure the spread or dispersion of the test scores.

Test Scores:

52, 61, 69, 76, 82, 84, 85, 90, 94

Highest score = 94

Lowest score = 52

Range = 42 (94 - 52)

Thus, we can conclude that for the math students in Mr. Miller's class, the range of their test scores is 42.

Learn more about the range at https://brainly.com/question/24326172.

#SPJ1

Answer:

Regular polygon of 10 sides or 10-gon

Explanation:

The angle of rotation symmetry is equal to

θ = 360/n

Where n is the order of rotation. In a regular polygon, the order of rotation for symmetry is the number of sides.

In this case, we can replace θ by 36 degrees and solve the equation for n

36 = 360/n

n = 360/36

n = 10

Therefore, the shape of rotation should be a regular polygon of 10 sides.