3 markers cost $5.79.
Which equation would help determine the cost of 13 markers?

When we have a normal model for the sampling distribution, we cannot say that a sample mean or sample proportion is approximately 2 standard errors (ses) away from the population mean or the true proportion.

Instead, we can say that 95% of the sample proportions fall within two standard errors of the population proportion. Similar to this, the percentage of sample proportions decreases as the standard error distance decreases and increases as the standard error distance increases.

Therefore, the standard error distance will be greater than 2 standard errors (ses) if 99% of the sample proportions are within a given standard error distance of the population proportion.

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Answer:

c

Step-by-step explanation:

To show that "<" is a partial order on set A = {1, 2, 3, 6, 7, 8}, we need to verify three properties: reflexivity, antisymmetry, and transitivity.1. Reflexivity: For any element a ∈ A, a < a must hold. Since a/a = 1, which is an integer, reflexivity is satisfied for all elements in A.2. Antisymmetry: If a < b and b < a, then a = b. Let's consider all possible pairs of elements in A:

  - For (1, 2): 2/1 = 2, which is an integer. However, 1/2 = 0.5, which is not an integer. Thus, 1 < 2, but not 2 < 1.

  - For (1, 3): 3/1 = 3 and 1/3 = 0.33, so 1 < 3, but not 3 < 1.

  - For (1, 6): 6/1 = 6 and 1/6 = 0.17, so 1 < 6, but not 6 < 1.

  - For (1, 7): 7/1 = 7 and 1/7 = 0.14, so 1 < 7, but not 7 < 1.

  - For (1, 8): 8/1 = 8 and 1/8 = 0.125, so 1 < 8, but not 8 < 1.

  - For (2, 3): Both 3/2 = 1.5 and 2/3 = 0.67 are not integers, so neither 2 < 3 nor 3 < 2.

  - For (2, 6): 6/2 = 3 and 2/6 = 0.33, so 2 < 6, but not 6 < 2.

  - For (2, 7): 7/2 = 3.5 and 2/7 = 0.29, so 2 < 7, but not 7 < 2.

  - For (2, 8): 8/2 = 4 and 2/8 = 0.25, so 2 < 8, but not 8 < 2.

  - For (3, 6): 6/3 = 2, which is an integer. However, 3/6 = 0.5, which is not an integer. Thus, 3 < 6, but not 6 < 3.

  - For (3, 7): 7/3 = 2.33 and 3/7 = 0.43, so neither 3 < 7 nor 7 < 3.

  - For (3, 8): 8/3 = 2.67 and 3/8 = 0.38, so neither 3 < 8 nor 8 < 3.

  - For (6, 7): Both 7/6 = 1.17 and 6/7 = 0.86 are not integers, so neither 6 < 7 nor 7 < 6.

  - For (6, 8): Both 8/6 = 1.33 and 6/8 = 0.75 are not integers, so neither 6 < 8 nor 8 < 6.

  - For (7, 8): Both 8/

The Hasse diagram for the given partial order "<" on set A is as follows:

          8

         /

        6

       / \

      2   3

       \ /

        1

        |

        7

In this diagram, each element of set A is represented as a node, and an upward arrow indicates that one element is greater than another. The element 8 is the maximum element in A since it is greater than all other elements. There are no maximal elements, which are elements that have no elements greater than them. The element 1 is the minimum element since it is smaller than all other elements.

To show that "<" is a partial order, we need to verify the three properties. The first property, reflexivity, is satisfied because for every element a in A, a/a = 1, which is an integer. The second property, antisymmetry, holds because if a < b and b < a, then a/b and b/a are integers, implying a/b = b/a = 1. Therefore, a = b. The third property, transitivity, is also satisfied because if a < b and b < c, then a/b and b/c are integers, so (a/b) * (b/c) = a/c is an integer as well. Hence, "<" is a partial order on set A.

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The probabilities of selecting a new vehicle and a truck separately, and then subtracting the probability of selecting both a new vehicle and a truck is P(N or T) = P(N) + P(T) - P(N∩T)

Let's denote the events as follows:

N = Selecting a new vehicle

U = Selecting a used vehicle

T = Selecting a truck

The probability of selecting a new vehicle (N) can be calculated by dividing the number of new vehicles by the total number of vehicles (new and used cars and trucks). Similarly, the probability of selecting a truck (T) can be calculated by dividing the number of trucks by the total number of vehicles.

To calculate the probability of selecting a new vehicle or a truck, we add the probabilities of N and T, and then subtract the probability of both N and T occurring together (denoted as N∩T).

P(N or T) = P(N) + P(T) - P(N∩T)

This approach ensures that we do not count the intersection (new trucks) twice.

By plugging in the respective probabilities, the final answer can be calculated.

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Answer:

A=x-3

B=X-14

C=X-10

Answer:

it takes 3 days for the crew to make one house

The capability index that is most desirable is a. 1.00.

The capability index, often represented by Cp, is a measure of the capability of a process to consistently produce output within specified limits. It compares the spread of the process output to the width of the specification limits.

A capability index of 1.00 indicates that the process spread is equal to the width of the specification limits, indicating a high level of capability. This means that the process is able to consistently produce output that meets the desired specifications without significant deviation.

On the other hand, a capability index below 1.00 indicates that the process spread is wider than the specification limits, indicating a lower level of capability. In such cases, the process may have difficulty consistently meeting the desired specifications.

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Answer:

6

8

,

9

12

,

12

16

Step-by-step explanation:

Answer:

The Answer Is A. $13,800

Step-by-step explanation:

Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

Answer:

the answer is D

Step-by-step explanation:

x > 5 represents a line with an open circle at 5 and going indefinitely toward infinity.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given inequality is  - 3(2x - 5) < 5(2 - x).

- 6x + 15 < 10 - 5x.

- x < - 5.

x > 5 (think of moving x to make it positive).

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Answer:

144 in^2

Step-by-step explanation:

Using the A = s^2 and the text says that s= 12in

 the answer is 12 in * 12 in = 144 in^2

It will take approximately 7.27 years for your mother's investment to become worth $1,000,000 when invested in a well-diversified, low-cost mutual fund returning 10% per year.

To determine the number of years it will take for your mother's investment to become worth $1,000,000, we can use the future value formula:

FV = PV * (1 + r)^n

Where:

FV = Future value ($1,000,000)

PV = Present value ($500,000)

r = Annual interest rate (10% or 0.10)

n = Number of years (unknown)

Substituting the given values into the formula:

$1,000,000 = $500,000 * (1 + 0.10)^n

Simplifying the equation:

2 = (1.10)^n

Taking the logarithm of both sides:

log(2) = log(1.10)^n

Using the logarithmic property:

log(2) = n * log(1.10)

Solving for n:

n = log(2) / log(1.10)

Using a calculator:

n ≈ 7.27

Therefore, it will take approximately 7.27 years for your mother's investment to become worth $1,000,000 when invested in a well-diversified, low-cost mutual fund returning 10% per year.

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The completed two-column table used to prove that ΔSUV ≅ ΔTVU, can be completed as follows;

        Statements         \({}\)                        Reasons

1.    \(\overline{SU}\) ≅ \(\overline{TV}\)                                         Given

2.   ∠TSU ≅ ∠STV \({}\)                               Given

3.   \(\overline{UV}\)║\(\overline{ST}\)        \({}\)                                  Given

4.   ∠TSU ≅ ∠SUV\({}\)                               Alternate Interior Angles Theorem

5.   ∠TVU ≅ ∠STV\({}\)                               Alternate Interior Angles Theorem

6.   ∠STV ≅ ∠SUV \({}\)\({}\)                              Transitive Property of Congruence

7.   ∠TVU ≅ ∠SUV\({}\)                               Transitive Property of Congruence

8.    \(\overline{UV}\)    ≅ \(\overline{UV}\)                               \({}\)    Reflexive Property of Congruence

9.    ΔSUV ≅ ΔTVU         \({}\)                    SAS                            

Two triangles such  as ΔSUV and ΔTUV are congruent when the three sides of triangle ΔSUV are congruent to the three sides of triangle ΔTUV.

The details of the reasons used to prove the congruency of the triangles are as follows;

Alternate Interior Angles Theorem

The alternate interior angles theorem states that the alternate interior angles formed by two parallel lines, such as \(\overline{UV}\) and \(\overline{ST}\) and their common transversals, \(\overline{TV}\) and \(\overline{SU}\), are congruent.

Transitive Property of Congruence

The transitive property of congruence states that two shapes are congruent to themselves if both shapes are congruent to a third shape.

Reflexive Property of Congruence

The reflexive property of congruence states that a shape, line, or angle is congruent to itself.

SAS

SAS, is an acronym for Side-Angle-Side congruency postulate, which states that, if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

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Answer:

x = 12 and y = 31

Step-by-step explanation:

Hey There!

So the two angles with x are interior angles meaning that they are congruent

So to solve for x we use the equation

3x+17=5x-7

step 1

add 7 to each side

17+7=24

-7+7 cancels out

now we have

3x+24=5x

step 2 subtract each side by 3x

3x-3x cancels out

5x-3x=2x

were left with

2x=24

final step divide each side by 2

24/2=12

2/2 cancels out

x=12

now we plug it into one of the expressions

3x12=36

36+17=53

the angle that is equal to 53 is supplementary to the angle with y meaning that they add up to 180

so to solve for y we use this equation

180=4y+3+53

step 1 combine like terms

53+3=56

now we have

180=4y+56

step 2 subtract each side by 56

180-56=124

124=4y

step 3 divide each side by 4

124/4=31

y=31

so we can conclude that

x=12 and y = 31

The molar volume of ethane at 300 K and 200 atm, calculated using the Van der Waals equation of state, is approximately 0.109 L/mol.

To calculate the molar volume, we need to solve the cubic equation obtained from the expanded Van der Waals equation of state:

V^3 - (b + pRT)V^2 + (pa)V - pab = 0

Given the values of a = 5.5088 L^2 atm mol^(-2) and b = 0.065144 L mol^(-1) for ethane gas, and the temperature T = 300 K and pressure p = 200 atm, we can substitute these values into the cubic equation.

Substituting the values into the equation, we have:

V^3 - (0.065144 + (200)(0.0821)(300))V^2 + (5.5088)(200)V - (200)(0.065144)(5.5088) = 0

Solving this cubic equation, we find that one of the roots corresponds to the molar volume of ethane at the given conditions, which is approximately 0.109 L/mol.

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In most situations, it would be reasonable to use a level .01 test with a sample size of 40,000 as it provides a high level of statistical power to detect smaller effects and reduce the likelihood of Type I error.

In most situations, it would be reasonable to use a level .01 test in conjunction with a sample size of 40,000. This is because a larger sample size provides more statistical power, meaning the test is more likely to detect a significant difference if one exists.

Additionally, a level .01 test is more conservative than a level .05 test, which reduces the risk of a type I error (rejecting the null hypothesis when it is actually true).

However, it is important to consider the context and specific research question being addressed, as well as potential confounding variables, to determine the appropriate statistical test and significance level for a given study.

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Answer:

3:45

Step-by-step explanation:

The current time is 3:15. Rotate the minute hand 90 degrees twice, and now the minute hand should be on the 9, which would mean the time is 3:45.

After one rotation and after two rotations:

Answer:

D

Step-by-step explanation:

There were 16 ounces of oil in the lantern at noon.

Let's start by defining the variables we know. We'll call the amount of oil in the lantern at noon "x," the rate at which the oil burns "r," and the time elapsed from noon to 2 pm "t." We know that the amount of oil in the lantern at 2 pm is 12 ounces, and at 4 pm, it's 8 ounces.

We can use the rate of oil burning to create an equation relating the amount of oil in the lantern to the time elapsed. The equation is:

x - rt = y

where "y" is the amount of oil in the lantern at any given time after noon. We can solve for "x" by plugging in the values we know at 2 pm:

x - 2r = 12

And at 4 pm:

x - 4r = 8

Now we have two equations with two variables. We can solve for "r" by subtracting the second equation from the first:

2r = 4

r = 2

Now we can plug in "r" to one of the equations to solve for "x." Let's use the first equation:

x - 2(2) = 12

x - 4 = 12

x = 16

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∂g/∂u is equal to 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v)).

To find the indicated derivative, we need to use the chain rule. Let's differentiate step by step:

Given:

g(u, v) = f(x(u, v), y(u, v))

f(x, y) = 7x³y³

x(u, v) = ucos(v)

y(u, v) = usin(v)

To find ∂g/∂u, we differentiate g(u, v) with respect to u while treating v as a constant:

∂g/∂u = (∂f/∂x) * (∂x/∂u) + (∂f/∂y) * (∂y/∂u)

To find ∂f/∂x, we differentiate f(x, y) with respect to x:

∂f/∂x = 21x²y³

To find ∂x/∂u, we differentiate x(u, v) with respect to u:

∂x/∂u = cos(v)

To find ∂f/∂y, we differentiate f(x, y) with respect to y:

∂f/∂y = 21x³y²

To find ∂y/∂u, we differentiate y(u, v) with respect to u:

∂y/∂u = sin(v)

Now, we can substitute these partial derivatives into the equation for ∂g/∂u:

∂g/∂u = (21x²y³) * (cos(v)) + (21x³y²) * (sin(v))

To find the simplified form, we substitute the given values of x(u, v) and y(u, v) into the equation:

x(u, v) = ucos(v) = u * cos(v)

y(u, v) = usin(v) = u * sin(v)

∂g/∂u = (21(u * cos(v))²(u * sin(v))³) * (cos(v)) + (21(u * cos(v))³(u * sin(v))²) * (sin(v))

Simplifying further, we get:

∂g/∂u = 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v))

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Answer:

Exact answer: Square root of 80

Approximate answer: 8.94

Step-by-step explanation:

Answer:

23 times 10 is

230 so your answer is 2 times 10

The length of the hypotenuse c is 6

The given parameters are

Legs = a and b

Hypotenuse = c

a = 2√3

c = 2b

Make b the subject in c = 2b

b = 1/2c

By Pythagoras theorem, we have:

c^2 = a^2 + b^2

This gives

c^2 = (2√3)^2 + (1/2c)^2

Evaluate the exponents

c^2 = 12 + 1/4c^2

Evaluate the like terms

1/3c^2 = 12

This gives

c^2 = 36

Take the square roots

c = 6

Hence, the length of the hypotenuse c is 6

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Both c. f is continuous on the interval [-2,3], where f(-2)=0 and f(3)=20 and d. f is continuous on the interval [-2,3], where f(-2)=15 and f(3)=30 options are correct. given below is the explanation of the result.

using Intermediate value theorem:(statement: suppose that f∈c[a,b] and f(a)≠f(b) then given a number λ lies between f(a) and f(b) there exist a point c ∈(a,b) such that f(c)=λ)

know according to the Intermediate value theorem both option c and d are correct here because either f(a)<f(b) for a number λ lies between f(a) and f(b) there exist a point c ∈(a,b) such that f(c)=λ) here if we take  interval [-2,3], where f(-2)=0 and f(3)=20 the theorem is applicable. if we have f(a)>f(b) for a number λ lies between f(a) and f(b) there exist a point c ∈(a,b) such that f(c)=λ so if we take the interval [-2,3], where f(-2)=15 and f(3)=30,the above stated theorem is applicable.

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The mean and median number of hours Rashawn spend in listening to music is 5.7 hours and 6 hours, under the condition that there were 6 days in which Rashawn listened to music.

Now to evaluate the mean number of hours Rashawn listened to music for the 6 days, we have  to sum up all the hours and divide by the number of days.

Then, total number of hours Rashawn heard music for 6 days is

= 6 + 5 + 5 + 6 + 5 + 7

= 34 hours

Mean  = Total number of hours / Number of days

= 34 / 6

= 5.7 hours

Now,

For evaluating  the median number of hours Rashawn heard  music in the interval of  6 days

We have to set the number in the order of smallest to largest

The numbers in order are  5, 5, 5, 6, 6, 7

The median is the middle value which is 6

The mean and median number of hours Rashawn spend in listening to music is 5.7 hours and 6 hours, under the condition that there were 6 days in which Rashawn listened to music.

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The complete question is

Rashawn kept a record of how many hours he spent listening to music for 6 days during school vacation and displayed his results in the table

Day -

Monday  

Number of hours - 6

Tuesday  

Number of hours - 5

Wednesday  

Number of hours - 5

Thursday

Number of hours - 6

Friday

Number of hours - 5

Saturday

Number of hours - 7

calculate the mean and median number of hours Rashawn listened to music for the 6 days. Round your answers to the nearest tenth.

Answer:

Multiply n by the cost of the box.

Step-by-step explanation:

hey there,

< For these kinds of problems I always like making ratio tables.

2 boxes → $4.95

n boxes → $?

To find the thing we don't know in any ratio table (marked by "?"), you have to multiply the two opposites and then divide by the last one standing. I know that sounds confusing so let me explain...

"Two opposites" means the two values that are right across from each other, but do not include the unknown ("?"). In this example, the two diagonally across from each other are "n" amd "4.95". "2" and "?" can't be right across from each other because one of those is a "?".

Multiply the two opposites. n × 4.95. Let's not actually simplify since this isn't what we are doing here in this question and leave it like this:

n × 4.95 = (n × 4.95)

Now that we found that, we have to divide it by the last number available. The last number available that we haven't used yet is "2" (it obbviously can't be the unkown number "?").

(n × 4.95)/2

Whatever the result of the above equation is, is the answer.

(n × 4.95)/2 = ?

In our situation, "?" means "c". This is how you would solve any ratio table, it might seem tricky at first but it's actually super easy.

In this question, we are not asked to divide by two because they want to know a method of solving using the cost of one box.

\(\frac{(n*4.95)}{2} / 2\)

n × (4.95/2)

4.95/2 is the cost of one box. Multiply that by "n" and there is your final answer. >

I seriously hoped this help cause this question was kind of hard to explain. Feel free to ask anything else.