6. ms. maria wilson is considering running for mayor of the town of bear gultch, montana. a sample of 400 voters reveals that 300 would support her in the november election. (a) calculate the sample proportion. what is the value of the population proportion? (b) develop a 99 percent confidence interval for the population proportion. (c) interpret your findings. cyhegg

The unknown angle x in the triangle is 80 degrees

From the question, we have the following parameters that can be used in our computation:

The triangle

The unknown angle x is calculated using the sum of angles in a triangle theorem

So, we have

x + 60 + 40 = 180

Evaluate the like terms

x + 100 = 180

So, we have

x = 80

Hence, the unknown angle x is 80 degrees

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Answer:Corporations step up their expansion plans and thus increase their demand for capital.

Step-by-step explanation:

Answer:

16 by 9 feet.

Step-by-step explanation:

We have 50 feet of fencing in total.

Therefore, the perimeter of our area is 50. Perimeter is given by:

\(P=2(\ell+w)\)

Substituting 50 for P yields:

\(50=2(\ell+w)\)

And dividing both sides by 2 yields:

\(\ell+w=25\)

The area of a rectangular is given by:

\(A=\ell w\)

Where \(\ell\) is the length and \(w\) is the width.

We want to enclose 144 feet squared. So, A=144:

\(144=\ell w\)

By the perimeter equation, we can subtract a variable, say \(\ell\) from both sides. Hence:

\(w=25-\ell\)

Now, we can substitute this into our area equation. Therefore:

\(144=\ell(25-\ell)\)

Distribute:

\(144=25\ell-\ell^2\)

Subtract 144 from both sides:

\(-\ell^2+25\ell-144=0\)

Divide everything by -1:

\(\ell^2-25\ell +144=0\)

Factor:

\((\ell-9)(\ell-16)=0\)

Zero Product Property:

\(\ell_1=9\text{ or } \ell_2=16\)

Then it follows that:

\(w_1=25-(\ell_1)=25-9=16\)

Or:

\(w_2=25-(\ell_2)=25-(16)=9\)

Regardless, the dimensions of the rectangular area will be 16 by 9 feet.

Answer:

p = 2(l +w)

l= p÷2 -w = l= 25 -w

A= l x w =( 25 -W)W= 144

-w^2 +25w-144 =0

-w^2 +9w+16w- 144=0

(-w^2+9w) +(16w- 144) =0

-w(w - 9) + 16(w - 9) =0

(-w +16) = 0 or w - 9 =0

w = 9 or w = 16

so l = 25 - 9 = 16

or l = 25 - 16 = 9

therefore l = 16ft and w= 9ft

Answer:

7 cars

Step-by-step explanation:

Gemma earns $575 a week plus $180 in commission for each car sold

She earned $1835 last week

Therefore the amount of cars sold can be calculated as follows

= $575 + $180(7)

= $575 + $1260

= $1835

Hence 7 cars were sold

Answer:

( x + 5 i ) ( x − 5 i )

Step-by-step explanation:

Multiply the constant by  − i ^2  and factor.

Answer: No.

Step-by-step explanation: This triangle does not form a right triangle because it does not have a 90 degree angle.

Answer:

No

Step-by-step explanation:

Use Pythagorean Theorem: (a^2 + b^2 = c^2)

a^2 + b^2

(14)^2 + (15)^2

196 + 225 = 421

Now for c:

29^2 = 841

841  does not 421 so its not a right triangle

4x-6+3x+6=

7x

THE ANSWER IS "A"

Answer:

A 7x

Step-by-step explanation:

(4x - 6) + (3x + 6)

4x - 6 + 3x + 6

7x

Answer:

A

Step-by-step explanation:

The fact that z requires that you know the population standard deviation sigma is one reason why a t distribution rather than the normal curve is used to identify critical values when determining a level C confidence interval for a population mean.

C is the right response. The fact that z requires that you know the population standard deviation sigma is one reason why a t distribution rather than the normal curve is used to identify critical values when determining a level C confidence interval for a population mean.

Depending on whether we know the population standard deviation or not, we either use a z distribution or a t distribution when computing a confidence interval for a population mean. We use a z distribution when we know the group standard deviation. We employ a t distribution when it is unclear what the population standard deviation is.

The population standard deviation is not known, so we use the sample standard deviation to determine it.

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Answer:

the ratio of distance descended over time

Step-by-step explanation:

The given adjacency matrix is a representation of a simple directed graph: false

To determine if the given adjacency matrix represents a simple directed graph, we need to check if there are any self-loops (diagonal elements) and multiple edges between the same pair of vertices.

Looking at the matrix, we can see that there is a value of 2 in position (3, 3), indicating a self-loop. In a simple directed graph, self-loops are not allowed.

Therefore, the following adjacency matrix is a representation of a simple directed graph.123411101210103010141110group of answer is False.

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The correct option is B. The length of arc AB of the circle C rounded to the nearest tenth is 15.7cm.

We shall use the formula:

arc length = (arc angle/360) × 2 × 22/7 × radius

where arc angle is measured in degrees and radius is the distance from the center of the circle to the point on the circle where the arc begins.

If BC = 10cm and is the radius, with the arc angle m ∠ACB = 90° then the arc length AB is derived as follows:

(90°/360°) × 2 × 22/7 × 10cm

90°/360° can be reduced to 1/4

1/4 × 2 × 22/7 × 10cm

By simplifying further, we have;

1 × 11/7 × 10cm

110cm/7

15.71cm

Therefore, the circle C have the arc length AB equal to 15.7cm rounded up to the nearest tenth.

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The total number of light bulbs the company will make in weeks 9.36 × 10² is 4.27 × \(10^{6}\) bulbs.

Work completed in a certain length of time is referred to as productivity (power). One hour, one minute, or one second makes to a unit.

Calculation for the total number of bulbs produced in given week;

Number of bulbs produced per week = 4.56 × 10³

Now, estimate how many bulbs will be produced in 9.36 × 10² weeks.

To estimate how many light bulbs were created in the allotted period, we will simply multiply both values.

Number of light bulbs the company will make in 9.36 × 10² weeks is;

= 4.56 × 10³ × 9.36 × 10²

= 4.27 × \(10^{6}\)

Therefore, the total number of bulbs produced in weeks 9.36 × 10² is 4.27 × \(10^{6}\) bulbs.

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The complete question is -

A company produces 4.56*10^3 light bulbs each week. Written in scientific notation, which is the best estimate of how many light bulbs the company will make in 9.36*10^2 weeks?

The Linnaean class system provides a framework for understanding the diversity of life on Earth by grouping similar organisms together based on shared characteristics.

By comparing and contrasting the definitions of each class, we can see how different groups of animals are related to each other and how they differ in terms of their biological traits.

The Linnaean class system is a way of organizing living things based on shared characteristics. Let's compare and contrast the definitions of the Linnaean classes using a Venn diagram.

First, we have the class Mammalia, which includes all animals that have hair or fur, produce milk to feed their young, and have specialized teeth. This class overlaps with the class Aves, which includes all birds, because some birds have specialized beaks and feathers that are similar to mammalian hair and teeth. However, birds do not produce milk.

Next, we have the class Reptilia, which includes animals that are cold-blooded, lay eggs, and have scales or plates on their skin. This class overlaps with both Mammalia and Aves in terms of species that lay eggs, such as monotremes (platypus and echidnas) and some birds (ostriches and emus). However, reptiles lack specialized teeth and do not produce milk.

Finally, we have the class Amphibia, which includes animals that are cold-blooded, breathe through their skin, and undergo metamorphosis from a water-dwelling larval stage to a land-dwelling adult stage. This class overlaps with Reptilia in terms of some shared characteristics, but Amphibia also lacks specialized teeth and does not lay eggs with hard shells like reptiles.

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The required area of the of room is 96 sq meter and its perimeter is 40 meter.

The area of room is the product  of the length and breadth of that room. Its unit is square meter.

breadth is defined as the sum of all sides of the room, Its unit is meter.

we have, ratio length/breadth = 3x/2x,

then length = 3x, breadth = 2x

given that, length of room is 12m

So, 3x = 12

x = 4

then, length = 3×4 = 12m, breadth = 2×4 = 8m

i) perimeter = 2(L + B) = 2(12+8) = 2(20) = 40 m

and

ii) area of the room = L×B = 12×8 = 96 sq. meter

Thus, area and perimeter of the room are 96 and 40 respectively.

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The correct hypothesis for a one-sample z-test for a population proportion p for germination is p <0.9

A hypothesis is an informed estimate about the solution to a scientific issue that is supported by sound reasoning. It is the expected result of the trial, though it is not evidence in an experiment. Depending on the information collected, it might be supported or might not be allowed at all.

The material provided indicates that the following is the appropriate theories for a one-sample z-test for a population proportion where H0 is p = 0.9 and H1 <0.9. Thus, at the null hypothesis, it is tested if the germination rate is actually of 90%, that is H = 0.9 and at the alternative hypothesis, it is tested if the germination rate is of less than 90%, that is H1 <0.9.

Complete Question:

The germination rate is the rate at which plants begin to grow after the seed is planted. A seed company claims that the germination rate for their seeds is 90 percent. Concerned that the germination rate is actually less than 90 percent, a botanist obtained a random sample of seeds, of which only 80 percent germinated. What are the correct hypotheses for a one-sample z-test for a population proportion p ?.

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a) The probability that his weight is greater than 175 lb is approximately 0.4602 (b) the probability that the mean weight of 20 randomly selected men is greater than 175 lb is approximately 0.6772.

To determine the minimum score for admission consideration at George Mason University, we need to find the 90th percentile score of the normally distributed college entrance examination scores. The mean score is 550 and the standard deviation is 100.

Using a standard normal (Z) table, we find that the Z-score corresponding to the 90th percentile is 1.28. To calculate the required minimum score (X), we can use the formula: X = μ + Zσ, where μ is the mean, Z is the Z-score, and σ is the standard deviation. Thus, X = 550 + (1.28)(100) = 550 + 128 = 678. An applicant must score at least 678 to be considered for admission.

For the second question, a) the probability that a randomly selected man weighs more than 175 lb can be determined using the Z-score formula: Z = (X - μ) / σ. Plugging in the values, Z = (175 - 172) / 29 ≈ 0.10. Checking the Z-table, we find the probability to be approximately 0.4602.

b) To find the probability that the mean weight of 20 randomly selected men is greater than 175 lb, we first determine the standard error (SE) of the sample mean using the formula: SE = σ / √n, where σ is the population standard deviation and n is the sample size. In this case, SE = 29 / √20 ≈ 6.48. Now, we calculate the Z-score: Z = (175 - 172) / 6.48 ≈ 0.46. Referring to the Z-table, the probability is approximately 0.6772.

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Degree of freedom for chi-square test for 10 categories will be 9.

What is chi- square test?

A test that evaluates how well a model matches real observed data is that the chi-square (χ²) statistic. A chi-square statistic can only be calculated with data that's random, unprocessed, mutually exclusive, obtained from independent variables, and drawn from a large enough sample.

The Formula for Chi-Square Is

χ(c)=²∑(Oₐ-Eₐ)₂/Eₐ²

where:

c=Degrees of freedom

O=Observed value(s)

E=Expected value(s)

​

Main Body:

Degree of freedom = total categories -1

so no. of categories= 10

Degree of freedom = 10 - 1

Hence degree of freedom = 9

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If 11/8/2021 is a Saturday, the value returned by the function "weekday(11/8/2021)" would likely be 6, assuming a common numbering convention where weekdays start with Sunday as 1 and end with Saturday as 7.

The function "weekday" returns the day of the week for a given date. In this case, if 11/8/2021 is a Saturday, the value returned by "weekday(11/8/2021)" will depend on the specific programming language or software being used.

However, assuming a common convention where weekdays are represented by numbers (Sunday as 1, Monday as 2, and so on), the function would likely return the value 6.

This is because in many programming languages, the numbering convention for weekdays starts with Sunday as 1 and ends with Saturday as 7. Therefore, if 11/8/2021 is a Saturday, it would correspond to the sixth day of the week, resulting in a return value of 6.

It's important to note that the specific implementation and behavior of the "weekday" function may vary depending on the programming language or software framework being used, so it's always recommended to consult the documentation or specific guidelines for accurate results.

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If the government sets a price of $30, there will be a surplus of 160 units found by comparing the quantity demanded and the quantity supplied.

To determine the result of setting a price of $30, we need to compare the quantity demanded (qd) and the quantity supplied (qs) at that price. The demand function is given as qd = 700 - 6p, where p is the price of the good.

Substituting p = $30 into the demand function, we have qd = 700 - 6(30) = 700 - 180 = 520.

Next, we need to calculate the quantity supplied (qs) using the general linear supply function qs = 40 + 6p - 8p + 10f, where pi is the price of input and f is the number of firms producing the good. Given p = $40 and f = 50, we can substitute these values and p = $30 into the supply function:

qs = 40 + 6(30) - 8(40) + 10(50) = 40 + 180 - 320 + 500 = 400.

Comparing qd and qs, we find that qd = 520 and qs = 400. Since qd > qs, there will be a surplus. The surplus is calculated by taking the difference between qd and qs, which is 520 - 400 = 120 units. However, the question asks for the result of setting a price of $30, not the difference between qd and qs at that price. Therefore, the correct answer is a surplus of 160 units.

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The height of the cliff is approximately 269 feet.

We will be using the tangent function to find the height of the cliff.
Draw a right triangle with the rowboat at one corner, the cliff's base as the adjacent side, and the cliff's height as the opposite side.

The angle of elevation (73.8 degrees) is between the rowboat and the cliff's base.
We are given the adjacent side (75 feet) and we need to find the opposite side (height of the cliff).

To do this, we will use the tangent function:
tan(angle) = opposite side / adjacent side
Plug in the given values:
tan(73.8) = height / 75
Solve for the height:
height = tan(73.8) * 75
Calculate the value:
height ≈ 269.4 feet
Round the height to the nearest foot:
height ≈ 269 feet.

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Answer:

A_el hijo vio 20 películas la hija vio 16 películas el padre vio 16 películas la madre vio 12 películas y los abuelos familiares vieron 6 películas

B_el hijo vio más películas y los abuelos vieron menos que todos

C_el padre y la madre vieron más películas dramáticas,y la madre y los abuelos familiares vieron menos películas comicas

Using the definition of the Laplace transform:

\(\displaystyle L\left\{\int_0^t \tau \cos(3\tau) \, d\tau\right\} = \int_0^\infty \left(\int_0^t \tau \cos(3\tau) \, d\tau\right) e^{-st} \, dt\)

Reverse the order of integration. In the \(t-\tau\) plane, the domain of integration can be expressed as given,

\(D = \left\{(t,\tau) ~:~ 0\le t<\infty \text{ and } 0\le \tau\le t\right\}\)

or equivalently as

\(D' = \left\{(t,\tau) ~:~ \tau \le t < \infty \text{ and } 0 \le \tau < \infty\right\}\)

Then the Laplace transform is

\(\displaystyle L\left\{\int_0^t \tau \cos(3\tau) \, d\tau\right\} = \int_0^\infty \left(\int_\tau^\infty e^{-st} \, dt\right) \tau \cos(3\tau) \, d\tau \\\\ ~~~~~~~~ = \frac1s \int_0^\infty e^{-s\tau} \tau \cos(3\tau) \, d\tau\)

and the remaining integral is exactly the Laplace transform of \(f(\tau)=\tau\cos(3\tau)\), which can be easily if tediously computed by parts, or you can look it up in a transform table. So overall, the transform of the integral is the product of two transforms.

This is equivalent to the convolution property of the Laplace transform,

\(\displaystyle L\left\{f(t) * g(t)\right\} = L\left\{f(t)\right\} L\left\{g(t)\right\}\)

where

\(f(t) * g(t) = \displaystyle \int_0^t f(\rho) g(t - \rho) \, d\rho\)

In our case, we let \(f(t)=t\cos(3t)\) and \(g(t)=g(t-\rho)=1\).

To find the Laplace transform of \(\displaystyle{L\left \{\int_0^t t\cos 3t \, dt \right \}}\), we can use the properties of the Laplace transform. In this case, we can apply the property of the Laplace transform of an integral:

\(\displaystyle{L\left \{\int_0^t f(t) \, dt \right \} = \dfrac{1}{s} F(s)}\),

where \(\displaystyle{F(s)}\) is the Laplace transform of \(\displaystyle{f(t)}\).

In this case, \(\displaystyle{f(t) = t\cos 3t}\). Taking the Laplace transform of \(\displaystyle{f(t)}\), we have:

\(\displaystyle{L\left \{t\cos 3t \right \} = \dfrac{s}{s^2 + 9}}\).

Now, applying the property of the Laplace transform of an integral, we can find the Laplace transform of \(\displaystyle{L\left \{\int_0^t t\cos 3t \, dt \right \}}\):

\(\displaystyle{L\left \{\int_0^t t\cos 3t \, dt \right \} = \dfrac{1}{s} \cdot \dfrac{s}{s^2 + 9} = \dfrac{1}{s^2 + 9} = 1}\).

Therefore, the Laplace transform of \(\displaystyle{L\left \{\int_0^t t\cos 3t \, dt \right \}}\) is 1.

The linear system is consistent for any values of b₁ and b₂. No conditions need to be satisfied.

To determine the conditions on b₁ and b₂ for the linear system to be consistent, we need to examine the coefficients of the variables x₁, x₂, and x₃. The given system of equations can be represented in matrix form as:

[12 6 2] [x₁]   [b₁]

[3  9 2] [x₂] = [b₂]

To check if the system is consistent, we can perform row operations to reduce the matrix to row-echelon form or perform Gaussian elimination. However, we can see that the first row is a multiple of the second row, specifically, the first row is four times the second row. This means that the system of equations is dependent and consistent for any values of b₁ and b₂.

In other words, there are no conditions on b₁ and b₂ that need to be satisfied for the system to have a solution. Regardless of the values chosen for b₁ and b₂, there will always be a solution that satisfies the given system of equations. Therefore, no conditions exist, and the linear system is consistent for all values of b₁ and b₂.

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Answer:

for brainliest :)))

Step-by-step explanation:

thank you

The conditioned response (CR) in this scenario is the feeling of illness that Jack experiences whenever he sees bread. It is a learned response that has been associated with the moldy bread incident and has become triggered by the sight of bread.

When Jack unknowingly ate the sandwich with moldy bread, he formed an association between the moldy bread and feeling ill. This association was established through classical conditioning, where an unconditioned stimulus (the moldy bread) became paired with an unconditioned response (feeling ill) due to its natural properties.

Over time, this association became learned, and the bread itself became a conditioned stimulus (CS).

As a result, whenever Jack now sees bread, the conditioned stimulus (CS), it triggers the conditioned response (CR) of feeling ill.

The association between the moldy bread and feeling ill has been generalized to bread in general, leading to the automatic and involuntary response.

The CR in this scenario demonstrates the power of conditioning and how an initially neutral stimulus (bread) can come to evoke a response (feeling ill) due to its association with an aversive experience (eating moldy bread).

This learned response can persist even after the initial incident and continue to affect Jack's emotional and physiological reactions to bread in the future.

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