A political consultant wants to sample residents of a county to estimate what proportion of all the county's residents support a certain candidate.
They will use the sample data to construct a one-sample z interval for the proportion, and they are considering two sample sizes: a large sample of
n = 900 for more accurate results. or a small sample of n = 100 to save
time and money.
Assuming the sample proportion is the same in each sample, what is true about the margins of error from these two samples?
The margin of error from the smaller sample will be about select ratio
v
the margin of error from the larger sample.

Answer: 100.32

Step-by-step explanation:

Multiply 88 by .14 which gives you 12.32.

Then add 12.32 to your total which gives you 100.32

a). To maximize production within the budget, 600 units of labor and 100 units of capital should be purchased. b). The maximum production under the budgetary constraint is approximately 8,366 units.

a). To maximize production, we need to allocate the budget efficiently between labor and capital. We can calculate the number of units of labor and capital by dividing the budgeted amount by the cost per unit. The budget of $576,000 divided by the cost of labor per unit ($400) gives us 1,440 units of labor. Similarly, dividing the budget by the cost of capital per unit ($2,400) gives us 240 units of capital. However, this allocation does not maximize production within the budgetary constraint.

b). To find the optimal allocation, we can use the partial derivatives of the production function with respect to L and K. Taking the partial derivative of the production function with respect to L, we get 37.5L^(-0.25)K^0.25. Equating this to the budgeted amount of labor (600 units), we can solve for K, which comes out to be 100 units. Similarly, by taking the partial derivative of the production function with respect to K, we get 12.5L^0.75K^(-0.75). Equating this to the budgeted amount of capital (100 units), we can solve for L, which comes out to be 600 units.

By substituting these values into the production function, we can calculate the maximum number of units of production, which is approximately 8,366 units.

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Answer:

i think its b

Step-by-step explanation:

b  on edge

Answer:

The answer is B on EDGE 2020

Step-by-step explanation:

P(above average grades/boy) = P(above average grades). The correct option is B

The likelihood that a male will have grades above average is 23/37, or roughly 62%. 38/75, or almost 51%, of students are expected to have grades above average.

Statement A is untrue since the two probabilities do not equal one another. The probability of a guy having above-average grades is not the same as the probability of a student having above-average grades, hence Statement C is also untrue. Statement D is untrue since a boy's chance of being chosen is not the same as his chance of earning above-average grades.

Given that he was chosen, the likelihood of a boy obtaining above-average grades is the same as the likelihood that he will. This is so that the likelihood that a boy will have above-average grades is unaffected by the selecting procedure.

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Answer:

144/441

Step-by-step explanation:

There are 18+24=42 total socks

There are 24 black socks

So the probability is (24/42)*(24/42)=12/21 * 12/21 = 144/441

Answer:

189

Step-by-step explanation:

Answer:

A) AAS

Step-by-step explanation:

Answer:

4, they are not related

Step-by-step explanation:

x - y = 2 and y = x + 1

x - y = 2

subtract x

-y = 2 - x

divide by the negative

y = -2 + x or y = x - 2

they are not related

Answer:

The Answer Is A) they are parallel

Step-by-step explanation: i took the test and it was right i hope i helped!

Answer:

equation : x = -3

slope : undefined

Step-by-step explanation:

The equation says that it is parallel to y-axis, meaning all the x values are the same. the slope is undefined because of (HOY / VUX)

Answer:

No solutions

Step-by-step explanation:

6z + 1 = 2(3z - 1)
6z + 1 = 6z - 2 (using pemdas you use the distributive property)

Next you want to combine like terms.
To get both z's on the same side you have to subtract it from one side. However, what you do to one side you must do to the other. Once you subtract 6z from both sides you are left with only numbers. Since you do not have a variable to solve for now this equation has no solutions.

Hope this helps!

The equation 6z + 1 = 2(3z - 1) has no solutions.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

6z + 1 = 2(3z - 1)

Solve for z.

6z + 1 = 2 (3z - 1)

6z + 1 = 6z - 2

1 = -2

This means,

No solutions.

Thus,

There are no solutions.

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Answer:

(-4,5)

Step-by-step explanation:

just count from zero horizontally for the first number and vertically for the second number.

Answer:

x= 3b- 4a, a€R, b€R

Step-by-step explanation:

1. Move variable to the right-hand side and change it's sign.

2. Write the solution X in parametric form.

The equation 7x = 12 can be obtained through the elimination method when eliminating the variable 'y' in a system of equations. Let's explore the possible systems that could lead to this equation:

1. System 1:

  Equation 1: 7x + y = 19

  Equation 2: 3x - 2y = 5

  By multiplying Equation 1 by 2 and adding it to Equation 2, we eliminate 'y' and obtain 7x = 12.

2. System 2:

  Equation 1: 7x + 4y = 32

  Equation 2: 5x + 2y = 22

  By multiplying Equation 1 by 5 and subtracting Equation 2, we eliminate 'y' and obtain 7x = 12.

3. System 3:

  Equation 1: 7x + 3y = 26

  Equation 2: 4x + y = 20

  By multiplying Equation 2 by 7 and subtracting Equation 1, we eliminate 'y' and obtain 7x = 12.

These are three examples of systems of equations that could have led to the equation 7x = 12 during the elimination method.

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Answer: -2a,-2b

Step-by-step explanation:

The mean and standard deviation of the total time are µx = 66 and σx = 3.17, so the correct answer is (D) µx= 66 σx= 3.17.

To find this:

The total time to complete all three tasks is the sum of the time taken for each task. The mean time to complete all three tasks (µx) can be calculated by adding the mean time for each task: µx = 36 + 22 + 8 = 66. The standard deviation (σx) of the total time can be calculated using the standard deviation of each task and the square root of the number of tasks (n).

Using the formula: \(\sigma x = \frac{\sqrt{\sigma1^2 + \sigma2^2 + \sigma3^2}}{\sqrt n}\),

where σ1, σ2, σ3 are the standard deviations of each task, n = 3.

Plugging in the values, we get

\(\sigma x = \sqrt(2.5^2 + 1.8^2 + 0.75^2)/\sqrt3 \\= \sqrt{6.25 + 3.24 + 0.5625}/\sqrt3 \\= \sqrt{10.0525}/\sqrt3 = 3.17\)

Hence, the mean and standard deviation of the total time are µx = 66 and σx = 3.17, so the correct answer is (D) µx= 66 σx= 3.17.

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Answer:

y = -4/3x - 6

Step-by-step explanation:

since the slope is negative we can infer the line is going downwartd

I’ve attached my work!

Hope it helps :)

If you have any questions or anymore help lmk, happy to help with any school work!!

Have a nice day, you got this !!! <3

The surface area and volume of a sphere can be calculated using the following formulas:

Surface area: 4 * π * r^2

Volume: (4/3) * π * r^3

Where r is the radius of the sphere.

For the spheres given, the surface areas and volumes are:

(i) radius = 7 cm

Surface area: 4 * π * 7^2 = 4 * π * 49 = 196π cm^2

Volume: (4/3) * π * 7^3 = (4/3) * π * 343 = 588π cm^3

(ii) radius = 6.3 cm

Surface area: 4 * π * 6.3^2 = 4 * π * 39.69 = 158.48π cm^2

Volume: (4/3) * π * 6.3^3 = (4/3) * π * 251.187 = 447.938π cm^3

(iii) radius = 42 cm

Surface area: 4 * π * 42^2 = 4 * π * 1764 = 7056π cm^2

Volume: (4/3) * π * 42^3 = (4/3) * π * 74088 = 42672π cm^3

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Answer:

A. 9x + 27

B. x^2 + 7x

C. 6x + 15

D. 6x + 66

E. 4g + 7.2

Hope this helps :)

To determine the most likely distribution of the colors of candies in the bag before it was opened, we can analyze the data from the table and try to find a distribution that would result in the observed frequencies.

If we add up the number of candies of each color that were pulled out by the four students, we get:

Red: 75 + 80 + 85 + 90 = 330

Blue: 45 + 55 + 60 + 50 = 210

Green: 50 + 45 + 40 + 55 = 190

Yellow: 20 + 20 + 30 + 25 = 95

Orange: 10 + 5 + 25 + 30 = 70

We can see that the most frequently pulled color was red, followed by blue and then green. This suggests that the bag may have had more red candies than the other colors before it was opened.

Looking at the answer choices, the distribution in option B (300 red, 250 blue, 200 green, 100 yellow, and 150 orange) seems to match the observed frequencies the closest, as it has the highest number of red candies. Therefore, option B is the most likely distribution of the colors of candies in the bag before it was opened.

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Correct question:

A bag of candy contained a total of 1,000 candies before it was opened. Four students each pulled out 20 candies at random and recorded the color of the candies in this table.

According to this data, which was the most likely distribution of the colors of candies in the bag before it was opened?

A. 250 red, 250 blue, 250 green, 125 yellow, and 125 orange

B. 300 red, 250 blue, 200 green, 100 yellow, and 150 orange

C. 200 red, 200 blue, 200 green, 200 yellow, and 200 orange

D. 200 red, 200 blue, 200 green, 100 yellow, and 100 orange

Answer:

-17

Step-by-step explanation:

-34+46=12

The two lines are the same in length

Answer:

7.070 to the nearest thousandth

Step-by-step explanation:

You could use a calculator or do it manually using long division:

61)431 .2500(7.0695 <---------Quotient

    427

        425

         367

           580

           549

              310

               305

Answer:

4,000

Step-by-step explanation:

The area of corral build for a horse is equal to 4000 feet².

What is the area of a rectangle ?

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.

It is given that a rancher uses 280 feet of fencing to build a rectangular corral for a horse. This meant the perimeter of corral is equal to 280 feet.

Let's assume that the width of corral is of x feet.

Length of corral = 2.5x

We know that the perimeter of a rectangle is given by :

P = 2 ( L + B )

or

280 = 2 ( 2.5x + x)

Solving for the value of x i.e., width of corral will be :

3.5x = 140

x = width = 40 feet

and

Length = 100 feet

So , the area of corral will be :

A = L × B

or

A = 40 × 100

A = 4000 feet²

Therefore , the area of corral build for a horse is equal to 4000 feet².

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Answer:

x

Step-by-step explanation:

The orthogonal complement S is the set of all vectors orthogonal to the subspace S in R5 whose third and fourth components are zero. To find S, we need to find vectors such that vu = 0 for all u in S using the dot product. The orthogonal complement S has dimension three and a basis for it is f1, f2, f3, where f1 = (1,-1,0,0,0) f2 = (0,0,1,0,0) f3 = (0,0,0,1,0).

Let's begin by defining the orthogonal complement S⊥, which is the set of all vectors orthogonal to the subspace S in question. The subspace S is defined as the set of all vectors in R5 whose third and fourth components are zero. Let's go through the steps to find S⊥.

Step 1: Determine the dimensions of S The dimension of the subspace S is two. This is because the subspace consists of vectors whose third and fourth components are zero. Therefore, only the first, second, fifth components are nonzero, making up a 3D subspace. Since S is a subspace of R5, the remaining two components can also take any value and thus the dimension of S is 2.

Step 2: Determine a basis for S To determine a basis for S, we can use the fact that the subspace is defined as all vectors whose third and fourth components are zero.

Therefore, a basis for S is given by {e1, e2}, where e1 = (1,0,0,0,0) and e2 = (0,1,0,0,0).

Step 3: Find the orthogonal complement S⊥ To find S⊥, we need to find all vectors orthogonal to S. This means we need to find vectors v such that v⋅u = 0 for all u in S. To do this, we can use the dot product: v⋅u = v1u1 + v2u2 + v3u3 + v4u4 + v5u5= v1u1 + v2u2 + v5u5We want this to be zero for all u in S. This implies:v1 + v2 = 0 andv5 = 0Therefore, S⊥ is given by the set of all vectors in R5 of the form (a,-a,b,c,0), where a, b, and c are arbitrary constants. The orthogonal complement S⊥ has dimension three, and a basis for it is {f1, f2, f3}, where:f1 = (1,-1,0,0,0)f2 = (0,0,1,0,0)f3 = (0,0,0,1,0)The above result gives us a complete characterization of S⊥.

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Answer:

4

Step-by-step explanation:

The mode is the most recurring number. Since 4 occurs the most in the list, the mode is 4

The next two times that both buckets will dump water at the same time are 3:26 P.M. and 5:32 P.M.

The next two times that both buckets dump water at the same time is calculated as follows;

The least common multiple (LCM) of 18 and 21 is calculated as;

Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162,

Multiples of 21: 21, 42, 63, 84, 105, 126, 147, 168,

126 is common for both 18 and 21

Adding multiples of 126 minutes to the current time will give us the future times when both buckets will dump water simultaneously.

Current time: 1:15 P.M. + 5 minutes = 1:20 P.M.

First future time:

1:20 P.M. + 126 minutes = 3:26 P.M.

Second future time:

3:26 P.M. + 126 minutes = 5:32 P.M.

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Answer:

The most common trigonometric identities are those involving the Pythagorean Theorem...

Step-by-step explanation:

The Pythagorean trigonometric identity, also called the fundamental Pythagorean trigonometric identity or simply Pythagorean identity is an identity expressing the Pythagorean theorem in terms of trigonometric functions..

Answer:

So, we can write 121 as a sum of 1+3+5+7+9+11+13+15+17+19+21

which is equal to 121.

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