(a)[3] Completely describe the sampling distribution of the sample proportion of people who are in favour of increasing taxes to help balance the federal.

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Isolate n to solve the problem.

1. Subtract 2 from both sides to cancel out 2 on the left side of the equation.

3n = 12

2. Divide by 3 to get n by itself.

n=4

Answer:

75 km / h = 1250 m / m;

Solution ⇒ 1250 meters / minute

Step-by-step explanation:

Take a look at the explanation below;

\(75 km / hour - m / minute,\\75 km = 75 * 1000 meters = 75000 meters,\\\\1 hour = 60 minutes,\\75 kilometers / hour = 75000 meters / 60 minutes,\\\\75000 meters / 60 minutes = 1250 meters / minute\\\)

Conclusion; 1250 meters / minute

We can say that equation (C) [1430p + 2200 = -4001] is equivalent to the given equation [1.43p + 2.2 = -4.001].

So, the equivalent expression is:

Let us take the number with the most numbers after decimals, that is -4.001.

Now, if we -4.001 × 1000, then we obtain:

This means we will multiply all terms with 1000 as follows:

Therefore, we can say that equation (C) [1430p + 2200 = -4001] is equivalent to the given equation [1.43p + 2.2 = -4.001].

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Answer:

Step-by-step explanation:

Which cyclist lives closest to the park?

I'll rewrite both equations as y = mx + b so that they are more clearly understood.

A(x)=  - 9.2x + 36.8

B(x)=  - 13.8x + 41.4

The negative slopes represent the fact that both boys are headed toward the park from their homes, so as time increases, their distance from the park decreases.  The y-intercept represents their starting points from the park (at time = 0, they are still at home, doing homework).

Distance from home:  A:  36.8 miles;  B:  41.4 miles.  Boy A lives closest to the park.

Who will be the first to arrive at the park?

The slopes are their speeds.  Boy B cycles faster, but has to cover a greater distance.  A(x) and B(x) are 0 when they reach the park,  Find the time, x, for each by setting that distance to 0.

A(x)=  - 9.2x + 36.8

0 = - 9.2x + 36.8

9.2x = 36.8

x = 4 hours

B(x)=  - 13.8x + 41.4

0 = - 13.8x + 41.4

13.8x = 41.4

x = 3 hours

Boy B arrives first.

How much earlier will that cyclist arrive?

From above, Boy B arrives one hour before Boy A.  He uses that time flirting with a classmate while waiting.

Is there a time when both cyclists are the same distance from the orchard?

This is asking is there a time, x, in which both equations are wequal to each other:

A(x)= b(x) ?

A(x)=36.8 - 9.2x

B(x)= 41.4 - 13.8x

36.8 - 9.2x = 41.4 - 13.8x

4.6x = 4.6

x = 1 hour

At one hour they are both the same distance from the park.

The linear programming problem has three constraints: 26X + 10Y ≤ 140, 7X + 24Y ≤ 144, and X + Y ≤ 10. The objective is to maximize the value of the objective function 3X + 5Y.

The feasible region is bounded by these constraints and is graphically represented by the intersection of the three constraint lines. The optimal solution is determined by finding the point within this feasible region that maximizes the objective function.

In the given linear programming problem, there are three constraints: 26X + 10Y ≤ 140, 7X + 24Y ≤ 144, and X + Y ≤ 10. These constraints represent limitations or restrictions on the values of variables X and Y. The objective is to maximize the value of the objective function 3X + 5Y, which represents the quantity we want to optimize.

To find the optimal solution, we need to determine the feasible region. The feasible region is the set of all points that satisfy all the constraints. In this case, it is the intersection of the three constraint lines. By graphing the lines and identifying the region where all three constraints are satisfied, we can determine the feasible region.

Once we have the feasible region, we can identify the optimal solution by evaluating the objective function at each point within the feasible region. The point that maximizes the value of the objective function is the optimal solution. In this case, we would evaluate the objective function 3X + 5Y at each point within the feasible region and select the point that gives the highest value.

In summary, the linear programming problem with the given constraints can be solved by finding the feasible region, which is the intersection of the three constraint lines. The optimal solution is determined by evaluating the objective function at each point within the feasible region and selecting the point that maximizes the value of the objective function.

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The correct option is B) x[] = {36, 78, 12, 24} and y[] = {36, 78, 12, 24}.

The results after the given code was executed is x[] = {36, 78, 12, 24} and y[] = {36, 78, 12, 24}.

An array is a group of elements the same type that are stored in adjacent memory locations and may be accessed individually by using a reference to a unique identifier.

Some key features regarding the array are-

Now, for the given programme,

for(int a = 0; a < x.length; a++)

{

x[a] = y[a];

y[a] = x[a];

}

After execution of the programme, the result obtain will be;

x[] = {36, 78, 12, 24}

y[] = {36, 78, 12, 24}.

Therefore, the output of the given programme is obtained.

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The complete question is-

What would be the results after the following code was executed?

int[] x = {23, 55, 83, 19};

int[] y = {36, 78, 12, 24};

for(int a = 0; a < x.length; a++)

{

x[a] = y[a];

y[a] = x[a];

}

A) x[] = {36, 78, 12, 24} and y[] = {23, 55, 83, 19}

B) x[] = {36, 78, 12, 24} and y[] = {36, 78, 12, 24}

C) x[] = {23, 55, 83, 19} and y[] = {23, 55, 83, 19}

D) This is a compilation error.

Answer:

18.5 is your answer.

Step-by-step explanation:

Divide the area by 11.9 and you get 18.5

Answer:

Step-by-step explanation:

In this scenario, the probability of success, p is 28% = 28/100 = 0.28

Number of samples, n = 160

Probability of failure, q = 1 - p = 1 - 0.28 = 0.72

Mean,µ = np = 0.28 × 160 = 44.8

Standard deviation, σ = √npq = √160 × 0.28 × 0.72 = 5.68

Let x be the random variable representing the number of wood samples from long-leaf pine trees with a fungal disease. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

the probability that you’ll have at least 50 diseased samples to return to your boss is expressed as

P(x ≥ 50) = 1 - P(x < 50)

For P(x < 50)

z = (50 - 44.8)/5.68 = 0.91

Looking at the normal distribution table, the probability corresponding to the z score is 0.819

Therefore,

P(x ≥ 50) = 1 - 0.819 = 0.181

Answer:

Step-by-step explanation:

Equation A:

-3(x + 7) = 24

=> -3x -21 = 24

=> -3x = 45

=> x = -15

Equation B:

x + 7 = -8

=> x = -15

Yes, it would be appropriate to use these values to carry out a two-sample z-test to evaluate whether the difference between doctors and pharmacists is real.  

Here are the steps to perform the two-sample z-test:
1. Define the null and alternative hypotheses:
  - Null hypothesis (H0): There is no significant difference between the proportions of respondents who rate medical doctors .
 
2. Calculate the standard error (SE) for the difference in proportions using the formula:
  SE = sqrt(p1*(1-p1)/n1 + p2*(1-p2)/n2)
  where p1 and p2 are the proportions of respondents who rated doctors and pharmacists as .

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The given values from the Gallup poll are not sufficient to carry out a two-sample z test and determine whether the difference between doctors and pharmacists is statistically significant.

Based on the information provided, it would not be appropriate to use these values to carry out a two-sample z test to evaluate whether the difference between doctors and pharmacists is real.

Here's why: The Gallup poll asked respondents to rate the honesty and ethical standards of people in different fields. The ratings for medical doctors and pharmacists were "very high or high" for 65% and 67% of respondents, respectively. However, these percentages alone do not provide enough information to carry out a statistical test.

To conduct a two-sample z test, we would need to know the sample sizes for both doctors and pharmacists, as well as the actual number of respondents who rated them "very high or high." We would also need to assume that the samples were randomly selected and independent.

Without this additional information, we cannot calculate the necessary statistics for a two-sample z test.

Therefore, the given values from the Gallup poll are not sufficient to carry out a two-sample z test and determine whether the difference between doctors and pharmacists is statistically significant.

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Answer:

x=4/25

or x=1.028114

or x= 128

Step-by-step explanation:

Answer:x= 128

Step-by-step explanation:

Subtract 3 from both sides of the equation /8+3=19

x/8+3=19

/8+3−3=19−3

Simplify

x/​8=16

Multiply all terms by the same value to eliminate fraction denominators

8x x/8=8x16

Simplify

X=128

Answer and Step-by-step explanation:

We are given the terms -1, k, -1, -1, and 8k.

Here is where those terms are found.

-1(k) -1( -1(8k) )

Distribute all of the negative ones.

-k -(-8k)

-k + 8k   _*

* How did we get positive 8k?

- When multiplying two negative numbers, which in this case was -1 and -8k, the result is positive. Thus, giving us positive 8k.

Now, combine like terms.

7k

The answer is 7k.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

Trinominal

Step-by-step explanation:

By definition, Trinominals are those expressions having 3 values, in this case, x^2, x, and the constant 6 are the values.

hope it helps.

The mean of the first population is not significantly larger than that of the second population. The p-value is 0.093.

Population 1: N = 35,X = 5.3, S = 2.8

Population 2: N = 21, X = 4.9, S = 3.2

We can use the t-test to test if the mean of the first population is larger than that of the second population. The formula for this is:

t = (x1 - x2) / (S√((1/N1) + (1/N2)))

Where x1 is the mean of population 1, x2 is the mean of population 2, S is the pooled standard deviation, and N1 and N2 are the sample sizes of the two populations.

Plugging in our values, we get:

t = (5.3 - 4.9) / (3.2√((1/35) + (1/21))) = 1.68

Using an online calculator, we find that the corresponding p-value is 0.093. Therefore, we fail to reject the null hypothesis that the two populations have the same mean and conclude that the mean of the first population is not significantly larger than that of the second population. The p-value is 0.093.

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Given the initial expression sin(θ) + cos(θ) * cos(θ) * (1 - cos(θ)), we simplified it to sin(θ) + cos²(θ) - cos³(θ).

Given the expression:
sin(θ) + cos(θ) * cos(θ) * (1 - cos(θ))
Let's simplify this expression step by step:
1. First, recognize that cos(θ) * cos(θ) can be written as cos²(θ). So, the expression becomes:
sin(θ) + cos²(θ) * (1 - cos(θ))
2. Next, we'll distribute cos²(θ) to both terms inside the parentheses:
sin(θ) + cos²(θ) - cos³(θ)
At this point, we have simplified the expression as much as possible. The final expression is:
sin(θ) + cos²(θ) - cos³(θ)
In summary, given the initial expression sin(θ) + cos(θ) * cos(θ) * (1 - cos(θ)), we simplified it to sin(θ) + cos²(θ) - cos³(θ). Remember that this is a general expression and its specific value depends on the angle θ.

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Answer:

MN ≈ 92.1

Step-by-step explanation:

given the figures are similar then the ratios of corresponding sides are in proportion, that is

\(\frac{MN}{IJ}\) = \(\frac{KL}{GH}\) ( substitute values )

\(\frac{MN}{21}\) = \(\frac{57}{13}\) ( cross- multiply )

13 MN = 21 × 57 = 1197 ( divide both sides by 13 )

MN ≈ 92.1 ( to the nearest tenth )

happy belated birthday!

Answer:

$11.25 was the tip

Step-by-step explanation:

I subtracted 75.00 by 15% and got 63.75 (what they paid) and subtracted 75.00 by 63.75, which got me the tip= 11.25 dollars

Answer:

m∠1 = 140 by the Alternate Interior Angles Theorem

m∠2 = 40 by the Consecutive Interior Angles Theorem

Step-by-step explanation:

Yes, Both the students are correct because both students calculate the area of a rectangular garden.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

Roberto says they can use the expression;

⇒ 2(3)+2(3)

And, Jay says they can use the expression;

⇒ (4.9) 3

Now,

Since, The garden club plants a rectangular garden that.

And, It has been divided into six sections.

Here, The members want to find the area of the sections they planted with herbs.

Roberto says they can use the expression;

⇒ 2(3)+2(3)

Clearly, Robert find the area of garden as;

⇒ 2(3)+2(3) = 12 ft²

And, Jay find the area of garden as;

⇒ (4.9) 3 = 14.7 ft²

Thus, Both the students are correct because both students calculate the area of a rectangular garden.

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A polynomial with roots A, B, and C can be written as it follows:

Because every time a complex number is the root of a polynomial, it's conjugated also is, let the roots A, B, and C stands for -2i, +2i, and 3, respectively. So, we can write the polynomial as follows:

Now, we just need to make the calculation needed to reach the expanded form:

The answer to the present question is the following polynomial:

Rοunding tο the nearest hundredth, the surface area οf the sphere is apprοximately 50.27 square feet.

Surface area is the measure οf the tοtal area that the surface οf an οbject οccupies. It is a twο-dimensiοnal measurement, typically expressed in square units, such as square meters (m²) οr square feet (ft²).

Tο find the surface area (A) οf a sphere with a given circumference (C), we first need tο find the diameter (d) οf the sphere.

The fοrmula fοr the circumference (C) οf a sphere is:

C = 2πr

where r is the radius οf the sphere.

Given that the circumference is 4π ft, we have:

4π = 2πr

Sοlving fοr r, we get:

r = 2 ft

Nοw we can use the fοrmula fοr the surface area οf a sphere with diameter d:

A = 4π(d/2)²

Substituting d = 4 ft (since diameter = 2r), we get:

A = 4π(4/2)²

A = 4π(2)²

A = 4π(4)

A = 16π

A ≈ 50.27

Therefοre, rοunding tο the nearest hundredth, the surface area οf the sphere is apprοximately 50.27 square feet.

A ≈ 50.27

Therefοre, rοunding tο the nearest hundredth, the surface area οf the sphere is apprοximately 50.27 square feet.

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The probability that the person has a tattoo is 230 out of 995.

We randomly select a person who responded to this survey. The calculation that gives the probability that the person has a tattoo is 230 out of 995.

Probability is a measure of the likelihood of a particular event occurring, typically expressed as a fraction or percentage.

The probability of an event occurring is calculated by dividing the number of favorable outcomes by the number of possible outcomes.

Therefore, the calculation that gives the probability that the person has a tattoo is 230 out of 995.

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Answer: She has a $-7.50 balance

Step-by-step explanation: A = 3*12.5

                                             A= 37.5

                                             37.5-30= -7.5

Answer:

Her balance will be $7.50 in the red.

Step-by-step explanation:

expenses: (12.50)*3 = 37.50

funds added: 30

$30 - $37.50 = -$7.50

Answer:

\(x=\frac{c^2y^2}{4}\)

Step-by-step explanation:

\(\frac{2\sqrt{x}}{c}=y\\\\2\sqrt{x}=cy\\\\\sqrt{x}=\frac{cy}{2}\\\\x=\frac{c^2y^2}{2^2}\\\\x=\frac{cy}{4}\)

Answer:

       c²y²

x = ----------

         4

Step-by-step explanation:

Let's isolate √x:  Multiply both sides of this equation by c/2.  We get:

          c*y

√x = ---------

            2

To find an expression for x, square both sides of this result:

      cy

x = {------ }²

         2

This is equivalent to:

       c²y²

x = ----------

         4

The value of logm 4/m is 1.139 - 2 logm m. This means that we can express logm 4/m in terms of other logarithmic values without finding the exact value of m.

Given that logm 3 = 0.903, logm 4 = 1.139, and logm 7 = 1.599. We are to find logm 4/m.

Using the properties of logarithm, we have,

logm 4/m = logm 4 - logm m

               =1.139 - logm m               .....................................(1)

Again, using the properties of logarithm, we know that:

logm 4 = logm (2 × 2)  

        = logm 2 + logm 2

         = 1.139 = 2logm 2                    ..................................(2)

Substituting equation (2) into (1) gives:

logm 4/m = 2logm 2 - logm

           m = 2logm (2/m)          ..................................................(3)

Using the property of logarithm once again, we know that:

loga b = logc b / logc a                     ............................................(4)

Substituting equation (4) into equation (3), we have:

logm 4/m = 2 logm 2 - logm

m= logm [(2/m)² / m]                       .............................................(5)

Now, we are to find logm 4/m by substituting the given values.

Using equation (2), we have:

logm 2 = (1.139)/2

     = 0.5695

Using equation (5), we get:

logm 4/m = logm [(2/m)² / m]

logm 4/m = logm [4/m²m]

 logm 4/m = logm 4 - logm

logm 4/m = 1.139 - 2 logm m

Therefore, by using the properties of logarithm, we have found that logm 4/m = 1.139 - 2 logm m. This means that we can express logm 4/m in terms of other logarithmic values without finding the exact value of m.

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Answer:

7y + 3 = 3x + 11

7y = 3x + 11 - 3

7y = 3x + 8

y = 3x + 8 / 7

7y + 3 = 3x + 11

7y + 3 - 11 = 3x

7y - 8 = 3x

x = 7y - 8 / 3

Yes, you can be certain that there are at least two guests who had the same number of handshakes. This is due to the Pigeonhole Principle.

As the party organizer, you shake hands with all 80 guests, which means you have 80 handshakes. The guests can have a minimum of 0 handshakes (if they don't shake hands with anyone except you) and a maximum of 79 handshakes (if they shake hands with everyone except themselves). There are 80 guests (excluding yourself), so there are 80 "pigeonholes" for the number of handshakes. The range of possible handshakes among the guests is from 0 to 79, which creates 80 possible outcomes or "pigeons."

According to the Pigeonhole Principle, if there are n pigeonholes and n+1 pigeons, at least one pigeonhole must contain at least two pigeons. In this case, there are 80 pigeonholes (guests) and 80 pigeons (possible handshakes). Therefore, at least two guests must have had the same number of handshakes.

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Answer:

8% error

Step-by-step explanation:

\( \frac{156.6 - 145}{145} = \frac{11.6}{145} = .08 = 8\%\)