help Here is your graph of the points on the previous screen.



Connect the points in order to create polygon `ABCDEF`.



1.2 Enter the length of the segment betwee

According the question The approximate probability that more than 200 out of 500 people will be against increasing taxes is approximately 0.0114 or 1.14%.

Given:

- Sample size (n) = 500

- Probability of being against increasing taxes (p) = 0.35

- Probability of being in favor of increasing taxes (q) = 1 - p = 0.65

Mean (μ) and standard deviation (σ) of the binomial distribution:

\(\[\mu = n \cdot p = 500 \cdot 0.35 = 175\]\)

\(\[\sigma = \sqrt{n \cdot p \cdot q} \approx \sqrt{500 \cdot 0.35 \cdot 0.65} \approx 10.95\]\)

To find the probability of more than 200 people being against increasing taxes, we can use the normal approximation to the binomial distribution. Let's calculate the Z-score:

\(\[Z = \frac{{X - \mu}}{{\sigma}} = \frac{{200 - 175}}{{10.95}} \approx 2.28\]\)

Using a standard normal distribution table or calculator, we find that the probability of \(Z > 2.28\) is approximately 0.0114.

Therefore, the approximate probability that more than 200 out of 500 people will be against increasing taxes is approximately 0.0114 or 1.14%.

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Step-by-step explanation:

h(-1) simply means that x=-1, and we use that everywhere in the function, where x appears, and simply calculate the result.

that is how a function works. out of an input value (x) we generate/calculate a result value (y).

(2x - 6) / (4x² + 8)

x = -1

(2×-1 - 6) / (4×-1² + 8) = (-2 - 6) / (4×1 + 8) = -8 / (4+8) =

= -8/12 = -2/3

h(-1) = -2/3

Answer:

There is no drawing or pic. You might want to re-post it. ^^

Step-by-step explanation:

Answer: A floor plan is an example of a scale drawing.

The value that completes the blank in the ordered pair is - 4

From the question, we have the following equation

y = 3x - 7

Also, we have the following incomplete ordered pair

(1, )

Complete the blank with a variable y

So, we have the ordered pair to be (1, y)

The ordered pair (1, y) means x = 1

So, we subtsitute 1 for x in the equation y = 3x - 7

y = 3(1) - 7

This gives

y = 3 - 7

Evaluate

y = -4

Substitute y = -4 in the ordered pair (1, y)

So, we have

(1 -4)

Hence, the complete value is (1 -4)

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The expression that is used to represent "the product of 3/4 and c" is 3/4c.

The term expression ins math is defined as a sentence with a minimum of two numbers or variables and at least one math operation.

Here we have given the statement "the product of 3/4 and c".

Now, we need to find the suitable expression for this one.

While we looking into the given statement we have identified that the following are presented

3/4 refers number also known as constant

c refers the variable

The term product refers the mathematical operation that has been done between number and variable.

So, as per the standard form of expression is can be written as.

=> 3/4 x c

=> 3/4 c

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Answer:

Step-by-step explanation:

Yes, the residual plot supports the appropriateness of a linear model because it displays a clear pattern and has roughly equal amounts of positive and negative residuals.

Is the residual plot relatively symmetrical around the centerline?

Yes, if the residual plot is relatively symmetrical around the centerline, it suggests that the linear model is appropriate because it is capturing the variance in the data evenly. If the residual plot is skewed or has outliers, it may indicate that the linear model is not accurately representing the data and a different model may be needed.

A residual plot is a graph that plots the residuals (the differences between the observed values and the predicted values) on the y-axis and the independent variable on the x-axis. The residual plot is used to assess the appropriateness of a linear model. If the residual plot displays a clear pattern and has roughly equal amounts of positive and negative residuals, it suggests that the linear model is appropriate. On the other hand, if the residual plot is scattered randomly or displays a clear pattern, it suggests that the linear model is not appropriate. In this case, the residual plot supports the appropriateness of a linear model because it displays a clear pattern and has roughly equal amounts of positive and negative residuals. This suggests that the linear model is able to accurately predict the dependent variable based on the independent variable.

Therefore, the residual plot supports the appropriateness of a linear model.

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Yes, because it displays a clear pattern and has roughly equal amounts of positive and negative residuals.

What is a residual plot and how does it support the appropriateness of a linear model?

A residual plot is a graphical representation of the residuals (prediction errors) of a regression model. It can be used to assess the appropriateness of a linear model by examining the pattern of the residuals and the presence of any unusual points or trends.

If the residual plot shows a clear pattern, such as a trend or curvature, it suggests that the linear model may not be appropriate for the data. On the other hand, if the residual plot appears random and shows roughly equal amounts of positive and negative residuals, it supports the appropriateness of a linear model.

The residual plot is used to judge whether a linear model is suitable. The linear model may be useful if the residual plot exhibits a distinct pattern and contains nearly equal numbers of positive and negative residuals. On the other hand, it indicates that the linear model is inappropriate if the residual plot is dispersed randomly or exhibits a distinct pattern. The residual plot shows a distinct pattern and about equal numbers of positive and negative residuals, which in this instance confirms the suitability of a linear model. This suggests that the dependent variable may be accurately predicted by the linear model utilising the independent variable.
Therefore, the residual plot confirms that a linear model is adequate.

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Answer:

A triangle that has two congruent sides is called an isosceles triangle! △

(congruent basically means equal by the way!)

-Hoped that helped!

Step-by-step explanation:

According to Baddeley and Hitch's research, the most important factor in determining whether rugby players will remember a particular game is the amount of time that has elapsed since the game was played.

Specifically, players were more likely to remember games that occurred early in the season and those that were particularly important or emotionally charged, while they were less likely to remember games that occurred later in the season or those that were less meaningful or emotionally significant.

This phenomenon is known as the "serial position effect" and has been observed in other contexts as well.

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The reflection across the x-axis of (-85, 40) is (-85, -40).

A reflection over a given axis, just translates the point to the other side of the axis, in such a way that the distance between the point and the axis does not change.

Then, for a point (x, y), a reflection across the x-axis gives the point:

(x, -y).

So only the sign of the y-component changes.

Now we can apply that to our point, the reflection across the x-axis of (-85, 40) is just (-85, -40).

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Answer: Your answer is (-85 -40)

Step-by-step explanation: I did the test here's proof

Hope it helped :D

The present ages of the father and son are 36 and 9, respectively.

The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the father's age at that time. To find the present ages of the father and son, we can set up a system of equations.

Let's denote the present ages of the father as "F" and the present age of the son as "S".

From the information given, we have two equations:

Equation 1: F + S = 45 (The sum of their ages is 45)
Equation 2: (F - 5)(S - 5) = 4(F - 5) (Five years ago, the product of their ages was four times the father's age at that time)

To solve this system of equations, we can use substitution or elimination method.

Let's solve it using the substitution method:

From Equation 1, we can express F in terms of S: F = 45 - S

Now, substitute F in Equation 2 with 45 - S:

(45 - S - 5)(S - 5) = 4(45 - S - 5)

Simplify the equation:

(40 - S)(S - 5) = 4(40 - S)

Expand and simplify:

40S - 5S - 200 + 25 = 160 - 4S

Combine like terms:

35S - 175 = 160 - 4S

Add 4S to both sides:

35S + 4S - 175 = 160

Combine like terms:

39S - 175 = 160

Add 175 to both sides:

39S = 335

Divide both sides by 39:

S = 335/39

Simplify:

S ≈ 8.59

Since age cannot be in decimal places, we can approximate the son's age to the nearest whole number:

S ≈ 9

Now, substitute S = 9 into Equation 1 to find the father's age:

F + 9 = 45

Subtract 9 from both sides:

F = 45 - 9

F = 36

Therefore, the present ages of the father and son are 36 and 9, respectively.

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Answer:

Step-by-step explanation:

The order of every element in (Z18, +) is as follows:

Order 1: 0

Order 3: 6, 12

Order 6: 3, 9, 15

Order 9: 2, 4, 8, 10, 14, 16

Order 18: 1, 5, 7, 11, 13, 17

The set (Z18, +) represents the additive group of integers modulo 18. In this group, the order of an element refers to the smallest positive integer n such that n times the element yields the identity element (0). Let's find the order of every element in (Z18, +):

Element 0: The identity element in any group has an order of 1 since multiplying it by any integer will result in the identity itself. Thus, the order of 0 is 1.

Elements 1, 5, 7, 11, 13, 17: These elements have an order of 18 since multiplying them by any integer from 1 to 18 will eventually yield 0. For example, 1 * 18 ≡ 0 (mod 18).

Elements 2, 4, 8, 10, 14, 16: These elements have an order of 9. We can see that multiplying them by 9 will yield 0. For example, 2 * 9 ≡ 0 (mod 18).

Elements 3, 9, 15: These elements have an order of 6. Multiplying them by 6 will yield 0. For example, 3 * 6 ≡ 0 (mod 18).

Elements 6, 12: These elements have an order of 3. Multiplying them by 3 will yield 0. For example, 6 * 3 ≡ 0 (mod 18).

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Answer:

Its either A or C

Step-by-step explanation: times the 45.00 x 0.15 and then try 45.00 x 1.14 it will give you the answer :D

To display formulas, one way is to press the key combination [Ctrl]+[] (grave accent).

The key combination [Ctrl]+[] is used to display formulas.

This is a useful feature for checking and editing formulas without altering the calculated values.

By pressing [Ctrl]+[], users can easily view the underlying formulas and ensure their accuracy.

This key combination provides a convenient way to switch between the formula view and the results view, enabling efficient editing and troubleshooting of complex calculations.

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Answer:

-12 is the answer

Step-by-step explanation:

Substitute 1/4 for a and 6 for b in the equation

-8ab

-8(1/4)(6) Multiply

-8(1.5) Multiply

-12

The major difference between an independent samples design and a dependent samples design when determining the observed t-test or the confidence interval is:

C. The two standard errors are calculated differently.

In an independent samples design, where two separate groups are being compared, the standard errors for the means of each group are calculated separately. The standard error measures the variability of the sample means around the population means. In this case, since the groups are independent, the standard errors are calculated independently.

On the other hand, in a dependent samples design, also known as a paired or matched design, the groups are related or paired in some way (e.g., before and after measurements on the same individuals).

In this design, the standard errors are calculated differently because the observations within each pair or group are dependent on each other. The standard errors consider the covariance or correlation between the paired observations, reflecting the within-pair variability.

Therefore, (C) the calculation of standard errors differs between independent samples and dependent samples designs when determining the observed t-test or the confidence interval.

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x = 45 is the answer.....

There were 53666.4 deaths in 1960. The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

Mathematicians claim that the four fundamental operations, also referred to as "arithmetic operations," can characterise all real numbers. The four mathematical operations of division, multiplication, addition, and subtraction produce the terms quotient, product, sum, and difference, respectively.

We are given that the world death rate in 1960 was 17. 7 deaths per 1000 people.

There were 3.032 billion people in the world in 1960 which means that there were 3032 thousand people.

So, the total deaths in 1960 were

⇒3032 * 17.7

⇒53666.4

Hence, there were 53666.4 deaths in 1960.

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a) Sin 2x = 2 tan x / 1 + tan^2 x is an identity.

b) Tan x + cot x = 2 csc 2x is an identity.

To verify that each equation is an identity, we will simplify both sides of the equation and show that they are equal.

For part a, we will use the double angle formula for sine and the Pythagorean identity.

sin 2x = 2 sin x cos x

2 tan x / 1 + tan^2 x = 2 sin x / cos x / 1 + sin^2 x / cos^2 x

= 2 sin x / cos x / cos^2 x / cos^2 x

= 2 sin x / cos x / 1 - sin^2 x

= 2 sin x / cos x / cos^2 x

= 2 sin x cos x

Therefore, sin 2x = 2 tan x / 1 + tan^2 x is an identity.

For part b, we will use the definitions of the trigonometric functions and the double angle formula for cosecant.

tan x + cot x = sin x / cos x + cos x / sin x

= (sin^2 x + cos^2 x) / (sin x cos x)

= 1 / (sin x cos x)

= 2 / (2 sin x cos x)

= 2 / sin 2x

= 2 csc 2x

Therefore, tan x + cot x = 2 csc 2x is an identity.

In conclusion, we have verified that both equations are identities.

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Total cost in dollars of the meal, tax and tips is $18.75

Tips are bonus or extra payment that a customer wants to pay to the counter of restaurant or to certain workers to express the gratitude toward their hospitality. How much money will be paid is determined by the customer himself.

given, cost of meal = $15 before tax and tip

After that $7% tax and $18% tip are included upon the cost of meal

Now, cost for tax = $ (7/100 × 15) = $1.05

cost for tip = $ (18/100 × 15) =$2.7

Total cost for meal, tax and tips = cost for meal + cost for tax + cost for tip

 Total cost = $18.75

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well, we know that a year has 12 months, so 6 months is really just 6/12 of a year.

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 2588\\ P=\textit{original amount deposited}\dotfill & \$2500\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to \frac{6}{12}\dotfill &\frac{1}{2} \end{cases}\)

\(2588 = 2500[1+(\frac{r}{100})(\frac{1}{2})] \implies \cfrac{2588}{2500}=1+\cfrac{r}{200}\implies \cfrac{647}{625}=\cfrac{200+r}{200} \\\\\\ \cfrac{(200)(647)}{625}=200+r\implies \cfrac{(200)(647)}{625}-200=r\implies \boxed{7.04=r}\)

Given:

Consider the expression is:

\(13-\dfrac{x}{5}+6.2y+20.5x-\dfrac{3}{8}y\)

To find:

The like terms that can be combined in this expression.

Solution:

Two terms are called like terms, if they have same variables of same degree.

We have,

\(13-\dfrac{x}{5}+6.2y+20.5x-\dfrac{3}{8}y\)

In the given expression, the pairs of likes terms are:

Pair 1: \(-\dfrac{x}{5}\) and \(20.5x\)

Pair 2: \(6.2y\) and \(-\dfrac{3}{8}y\)

It means \(-\dfrac{x}{5}\) can be combined with \(20.5x\) and  \(6.2y\) can be combined with \(-\dfrac{3}{8}y\).

Therefore, the correct option is C.

Answer:

it is 45.75 that is the answer

Answer:a: 29.5774648%

B:29.8701299%

Step-by-step explanation:

a: First turn 21/71 into a decimal: 0.295774648 to change a decimal into a percentage, Multiply by 100. 21/71 as a percentage is 29.5774648%

B: 46/154 as a decimal: 0.298701299 multiplied by 100, 29.8701299%

The hydrologic cycle, also known as the water cycle, plays a crucial role in the Earth's natural processes. It involves the continuous movement of water between the Earth's surface, atmosphere, and underground reservoirs.

The importance of the hydrologic cycle can be understood by considering its various functions:

Transport: The hydrologic cycle facilitates the transport of water across the Earth's surface, including rivers, lakes, and oceans. This movement of water is vital for the distribution of nutrients, sediments, and organic matter, which are essential for the functioning of ecosystems.

Weathering and Contaminant Transport: Water plays a significant role in weathering processes, such as erosion and dissolution of rocks and minerals. It also acts as a carrier for contaminants, pollutants, and nutrients, influencing their transport through the environment.

Energy Balance: Water has a high heat capacity, which means it can absorb and store large amounts of heat energy. This property helps regulate the Earth's temperature and climate by transporting heat through evaporation, condensation, and precipitation.

Greenhouse Gas: Water vapor is a major greenhouse gas that contributes to the Earth's natural greenhouse effect. It absorbs and re-emits thermal radiation, trapping heat in the atmosphere. Approximately 80% of the atmospheric greenhouse effect is attributed to water vapor.

Life: Water is vital for supporting life on Earth. It provides a habitat for numerous organisms and serves as a medium for various biological processes. Terrestrial life forms, including plants, animals, and humans, rely on water availability for their survival, growth, and reproduction.

It is important to note that while water is critical for most terrestrial life forms, human beings have developed technologies and systems that allow them to inhabit regions with limited water availability. However, water still remains a fundamental resource for human societies, and the hydrologic cycle plays a crucial role in ensuring its availability and sustainability.

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Answer:

y = 3/4x - 8/3

Step-by-step explanation:

Slope m = 3/4 passes through (4,1/3)

y = mx + b

1/3 = 3/4(4) + b

b = 1/3 - 3 = 1/3 - 9/3 = -8/3

so y = 3/4x - 8/3

Answer:

Step-by-step explanation:

Use pythagorean theorem to get BC = 12cm and DC = 9cm after getting BC.

Sin(ø) = opp/hyp = 9 cm/15 cm = 3/5

The length of the longest possible ladder that can negotiate the turn in the hallway is approximately 16.86 feet.

To find the length of the longest ladder, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the hallway forms a right-angled triangle, with one side measuring 14 feet and the other side measuring 8 feet.

Using the Pythagorean theorem, we can calculate the length of the hypotenuse (the ladder) as follows:

\(c^2 = a^2 + b^2\)

where c is the hypotenuse (length of the ladder), and a and b are the lengths of the other two sides.

Plugging in the values:

\(c^2 = 14^2 + 8^2\)

\(c^2 = 196 + 64\)

\(c^2 = 260\)

c ≈ √260

c ≈ 16.86 feet

Therefore, the length of the longest possible ladder that can negotiate the turn in the hallway is approximately 16.86 feet.

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Answer: 16b

Step-by-step explanation:

distribute

2a+6b+-2a+10b

combine like terms

2a+6b+-2a+10b

(2a+-2a)+(6b+10b)

16b

The null hypothesis in the sampling is u = 128 and the alternative is that it isn't equal to 128.

Given a mean of 128. The claim here is that the mean is 128.

Therefore, the null hypothesis and alternative hypothesis, would be:

H0 : u = 128

Ha: u ≠ 128

How is the null hypothesis depicted?

It should be noted that based on the information, when the null hypothesis is rejected, it implies that the weight is 128.

Also, there's no enough evidence to conclude that there's either overfilling or underfilling. When the null hypothesis is rejected, it means that the mean weight is not equal to 128.

Hence the answer is The null hypothesis in the sampling is u = 128 and the alternative is that it isn't equal to 128.

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