In a sample of 200 people, 150 said they would vote for Davis. What are the odds against Davis winning the election?

The two artists will melt:

10 + 20/x crayons

in 20 minutes.

The first artist melts one-half of a crayon per minute, so in 20 minutes, they will melt:

(1/2) x 20 = 10 crayons

The second artist takes x minutes to melt a crayon, so in one minute, they will melt:

1/x crayons

Therefore, in 20 minutes, the second artist will melt:

(1/x) x 20 = 20/x crayons

Together, the two artists will melt:

10 + 20/x crayons

in 20 minutes.

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Answer:

40.8°

Step-by-step explanation:

SohCahToa

use tan

tan^-1(19/22)

=40.81508387

=40.8

Answer:

Step-by-step explanation:

Here,

Opposite side is 19

Adjacent side is 22

To find : The value of Angle A, that is X°.

Formula

Tan X° = Opposite side/Adjacent side

Tan X° = 19/22 = 0.863 ( approximately )

X° = Tan inverse (0.863)

X° = 40.79° ~ 40.8°

Rounding off this to nearest tenth is 41°.

Hence,

X° = 41°

That is,

Angle A is 45°.

The equation of the quadratic function is y = -x² + 16 in intercept (factored) form.

To write a quadratic function in intercept (factored) form that passes through (-4,0), (4,0), and (−2,12), we need to use the factored form of the quadratic equation:

y = a(x - r)(x - s)

where a is the leading coefficient, and r and s are the x-intercepts.

From the given points, we can see that the x-intercepts are -4 and 4, so we have:

y = a(x + 4)(x - 4)

To find the value of a, we can use the point (-2, 12) which lies on the curve. Substituting these values, we get:

12 = a(-2 + 4)(-2 - 4)

12 = a(2)(-6)

a = -1

Thus, the quadratic function in intercept (factored) form that passes through (-4,0), (4,0), and (−2,12) is:

y = -1(x + 4)(x - 4)

y = -(x²- 16)

y = -x² + 16

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Answer:

  -3

Step-by-step explanation:

You want the graphical solution to x² +6x +9 = 0.

The graph of the expression on the left shows it has a value of 0 when x = -3.

The solution is x = -3.

__

Additional comment

A graphing calculator is very helpful when you want a graphical solution.

If you want to graph this by hand, you can rewrite it as ...

  (x +3)² = 0

The graph of (x +3)² is a graph of the parent function y = x² after it has been shifted left 3 units. The graph will go through points (-5, 4), (-4, 1), (-3, 0), (-2, 1), (-1, 4). Of course the point at (-3, 0) indicates the solution is x=-3.

The sampling distribution in this case is positively skewed. This is due to the fact that the mean is greater than the median, and the data is spread out further to the right than to the left, resulting in a long right tail on the histogram.

Data is information that has been collected, organized, and presented in a meaningful way. It can include facts, figures, observations, and other information, such as survey responses, images, and videos. Data is used to inform decision-making, inform research and analysis, and generate insights. Data can be qualitative or quantitative, and it is often gathered from multiple sources. Data can be collected through surveys, experiments, observational studies, or other methods. When combined with analytical tools, data can be used to identify patterns and trends, generate insights, and develop strategies.

The best description of the shape of the sampling distribution in this case would be positively skewed. Positively skewed distributions occur when the mean is greater than the median, and the data is spread out further to the right than to the left. This results in a long tail on the right side of the histogram that skews the data in a positive direction. To determine if this is the case, we can calculate the mean and median of the data.

To calculate the mean, we will use the formula for the population mean: $$\mu = \frac {\sum_{i=1}^n x_i} n$$

where $\mu$ is the population mean, $\sum_{i=1}^n$ represents the sum of all the data points, and $n$ is the sample size.

For the median, we can use the formula for the population median: $$Median = \frac{n+1}{2}th \ \ term$$

where $n$ is the sample size.

In this case, the sample size is 36, so the median would be the 18.5th term.

Now that we have the formulas, we can calculate the mean and median of the data.

The mean of the data is $46,408.89$.

The median of the data is $25,000.

Since the mean is greater than the median, it indicates that the data is positively skewed. This is further confirmed by examining the histogram of the data, which shows a long right tail on the right side of the histogram.

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The area of the shaded region is given as follows:

1.25 units squared.

To obtain the area of a rectangle, you need to multiply its length by its width. The formula for the area of a rectangle is:

Area = Length x Width

The parameters for the shaded region in this problem are given as follows:

Hence the area is given as follows:

Area = 5 x 1/4

Area = 1.25 units squared.

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Answer:

6 examinations

Step-by-step explanation:

We Know

A doctor can complete 3 examinations in 2 hours.

How many examinations can the doctor complete in 4 hours?

We see

4 hours is 2 hours times 2

We take

3 x 2 = 6 examinations

So, the doctor can complete 6 exams in 4 hours.

1. A hamburger combo meal in Poland costs approximately $1.13.

2. A hamburger combo meal in Mozambique costs approximately $5.12.

To find the dollar price of a hamburger combo meal in Poland, we need to divide the price in Polish Zlotys by the exchange rate for January:

= 5.08 Polish Zlotys / 4.5

= $1.13

To find the dollar price of a hamburger combo meal in Mozambique, we need to divide the price in Mozambique Meticals by the exchange rate for February:

= 338 Mozambique Meticals / 66.00

= $5.12

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There are  [tex]5[/tex] ways to choose 4 members from a family of 5 to line up for a photo shoot.

The problem you are describing is a classic example of a combination problem, specifically choosing a certain number of items from a larger set without regard to the order in which they are arranged.

The formula to calculate the number of ways to choose "r" items from a set of "n" items without replacement is given by the combination formula, also known as "n choose r" or denoted as C(n, r). The formula is:

[tex]C(n, r) = n! / (r! \times (n - r)!)[/tex]

where "!" denotes the factorial of a number, which is the product of all positive integers up to that number.

In your case, you are choosing 4 members from a family of 5 for a photo shoot, and the order in which they line up does not matter. So you need to find C(5, 4).

Plugging the values into the formula:

[tex]C(5, 4) = 5! / (4! \times (5 - 4)!) = 5! / (4! \times 1!) = (5 \times 4 \times 3 \times 2 \times 1) / ((4 \times 3 \times 2 \times 1) \times 1) = 5[/tex]

Therefore,  there are  [tex]5[/tex] ways to choose 4 members from a family of 5 to line up for a photo shoot.

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The next four equivalent fractions of 8/13 are:

Equivalent fractions are fractions that represent the same value but have different numerator and denominator. To find equivalent fractions of 8/13, we can multiply both the numerator and the denominator by the same non-zero integer.

In this case, we multiplied the numerator and denominator by 2, 3, 4, and 5, respectively, to obtain the next four equivalent fractions: 16/26, 24/39, 32/52, and 40/65. These fractions have different numerators and denominators, but they are equivalent to 8/13 as they represent the same value or amount.

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The standard form expression that represents the amount of border material Jessica will need is 2L + 2W - 2x - 2y = -2B

To create this expression, we need to consider a few things. Firstly, we need to know the length and width of the solar panels. Let's say the length of the solar panel is L and the width is W. We also need to know the width of the border that Jessica wants to add. Let's call this value B.

The total amount of material needed for the border will be the sum of the material needed for the four sides of the solar panel. Each side will need a length of B, so the total length of the material needed will be 2B + 2L + 2W.

However, we can simplify this expression by putting it into standard form. Standard form expressions are written in a specific way that makes them easier to read and work with. In standard form, the expression is written as Ax + By = C, where A, B, and C are constants and x and y are variables.

To put the expression 2B + 2L + 2W into standard form, we need to group the variables together and move the constants to the other side of the equation. This gives us the expression 2L + 2W - Ax - By = -2B, where A and B are both equal to -2, and C is equal to -2B.

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Answer:

8c^2 + 24c - 6

Step-by-step explanation:

I got it right on edmentum

To estimate the sample size required for estimating the proportion of college students who are working while going to school with a desired accuracy of 4% at a 90% confidence level, we can use the following formula:

n = (Z^2 * p * (1-p)) / (E^2)

where:

n is the sample size

Z is the Z-score corresponding to the desired confidence level (90% confidence level corresponds to a Z-score of 1.645)

p is the estimated proportion (or expected proportion) of the population

E is the desired margin of error

Given:

Desired accuracy (E): 4% or 0.04

Confidence level (Z-score): 1.645 (corresponding to 90% confidence level)

Estimated proportion (p): 0.40 (or 40%)

Plugging the values into the formula, we get:

n = (1.645^2 * 0.40 * (1-0.40)) / (0.04^2)

n = 0.1239 / 0.0016

n ≈ 77.4375

Rounding up to the nearest whole number, the estimated sample size required to achieve the desired accuracy is 78.

So, a sample size of at least 78 college students would be needed to estimate the proportion of college students who are working while going to school with a margin of error of 4% at a 90% confidence level, assuming an estimated proportion of 40%.

Answer:2/3

Step-by-step explanation:

its the only possible answer because it needs to have a scale factor below one as A'B'C'D' is smaller than ABCD

Answer: 2/3

Step-by-step explanation:

The corresponding side of AD is A'D'.

AD = 30

A'D' = 20

Scale factor = 2/3 because AD * 2/3 = A'D'

If I'm wrong, please tell me.

Answer: 320π or approximately 1005.31 mi

Step-by-step explanation:

The formula for the volume of a cylinder is

π r² h

we need to find the radius which is 16/2 = 8

plug in and solve

π 8² *5

π 64 *5

320π or approximately 1005.31 mi

Possible translations such that the graph passes through the point (1,2) are given as follows:

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

Two possible translations for the function to pass through the point (1,2) are given as follows:

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To determine the contribution of predictor X7 to a multiple linear regression model with p predictors and n observations, the partial F-test can be used to calculate the partial F-statistic for X7. This partial F-statistic is related to the t-test calculated for X7 in the same model, as the square of the t-statistic for X7 is equal to the partial F-statistic for X7.

To calculate the partial F-statistic for X7, you first fit the full model with all p predictors and record the residual sum of squares (RSS). Then, you fit a reduced model without X7 and record the residual sum of squares for this model (RSSr). The partial F-statistic for X7 is calculated as (RSSr - RSS) / q / RSS, where q is the number of predictors in the reduced model (excluding X7). This statistic follows an F distribution with 1 numerator degree of freedom and q denominator degrees of freedom.

The partial F-statistic is related to the t-test calculated for X7 in the same model because the square of the t-statistic for X7 is equal to the partial F-statistic for X7. Specifically, t^2 = partial F, where t is the t-statistic for the coefficient of X7 in the full model.

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--The complete question is, Suppose you have a multiple linear regression model with p predictors and n observations. Using the partial F-test, you want to determine the contribution of a particular predictor, say X7, to the model. How do you calculate the partial F-statistic for X7 and how is it related to the t-test calculated for X7 in the same model?--

Answer: Using the given information and the formula ab = cd, we can write:

d = (ab) / c

We are given b = 12 cm and c = 6 cm. To find ab, we can use the Pythagorean theorem:

a^2 + b^2 = c^2

where a is the unknown length we want to find. Substituting the given values, we get:

a^2 + 12^2 = 6^2

a^2 + 144 = 36

a^2 = -108 (which is not a possible solution)

This means that the given values do not form a valid triangle. Therefore, we cannot find the length of segment d using the given information.

Step-by-step explanation:

Seasonality may be less of a problem for annual data frequency as there may be less variation due to the longer time interval.

Annual data frequency refers to data that is collected and reported on an annual basis. This means that the data points in the dataset represent a full year's worth of data, with one data point for each year. Annual data is often used in economic indicators, such as gross domestic product (GDP) or unemployment rates, and can provide insights into long-term trends and changes over time.

GDP stands for Gross Domestic Product, which is a measure of the total value of goods and services produced within a country's borders during a specific time period, typically a year. It is used as an indicator of a country's economic health and growth. GDP is calculated by adding up the total spending on consumption, investment, government spending, and net exports (exports minus imports) during the period.

Seasonality may still be a problem for data frequencies of monthly, weekly, daily, and quarterly as certain patterns or fluctuations may occur within each of these time intervals. Seasonality may be less of a problem for annual data frequency as there may be less variation due to the longer time interval.

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The coordinates of the vertices B, D and C after a reflection over the line x = 1 are B'(1,7), D'(1,6) and C'(-8, 7).

The picture M', whose coordinates are in the fourth quadrant and created when point M is mirrored in the x-axis, is (h, -k). As a result, we deduce that when a point is reflected along the x-axis, the x-coordinate stays constant while the y-coordinate changes to the negative.

As a result, M'(h, -k). is the image for point M (h, k)

Given data:

coordinates of the vertices before reflection:

B(1,7), D(1,6) and C(10, 7).

Reflection about x = 1.

As Point B and D lies on the line x = 1, their coordinates will  not change.

C is 9 units to the right of the line x = 1 at (10, 7)

Thus, after reflection C will be 9 units to the left of the line x = 1 at (-8, 7).

Therefore, the coordinates of the vertices B, D and C after a reflection over the line x = 1 are B'(1,7), D'(1,6) and C'(-8, 7).

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Step-by-step explanation:

I know it not all but this is what I have

Answer: 2 girls to 3 non-girls

Step-by-step explanation:

80 are girls

120 are boys (200-80)

80:120

simplify

2:3

Both computers working together can process the payroll in 2.4 hours.

Let's denote the time it takes for both computers working together to process the payroll as "t".

We can use the formula:

work done = rate x time

where "work done" is the same in both cases, as they are processing the same payroll. Therefore, we can set up an equation using the rates :

1/6 + 1/4 = 1/t

We can simplify the left-hand side of the equation:

2/12 + 3/12 = 1/t

5/12 = 1/t

Multiplying both sides by 12t:

5t = 12

t = 12/5

t = 2.4

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Yes, the situation is a linear function as y = 30 + 5x is representing the standard form of a linear equation y = mx + b where m is the slope and b is the y-intercept.

Function is equal to ,

y = 30 + 5x

General form of the linear function is written as

y = mx + b

Here, the slope of the equation is 5,

This implies that for every additional service bought the cost increases by $5.

The y-intercept of the equation is 30.

This represents the initial cost of getting the dog groomed without any additional services.

The graph of this function will be a straight line.

And the relationship between the cost and the number of extra services bought will be linear.

When the number of extra services bought increases the cost of grooming the dog will increase by a constant amount .

Here the constant amount is equals to $5 per service.

Therefore, the function y = 30 + 5x is representing a linear function with slope 5 and y-intercept 30.

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The above question is incomplete, the complete question is:

The function y =30+5x represents the cost y (in dollars) of having your dog groomed and buying x extra services. Does this situation represent a linear function? Explain​

Thus, the fraction of crate that will go in each of the ice bucket is found as - 1/12.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.

Fractions with a numerator less than the denominator are said to be proper fractions. When the numerator exceeds the denominator, the fraction is said to be inappropriate.

Given data:

fraction of crate brought by friend = 1/2

Total number of ice buckets = 6

Fraction of crate in each bucket = fraction of crate brought by friend / Total number of ice buckets

Fraction of crate in each bucket = (1/2) / 6

Fraction of crate in each bucket =  1 / (2*6)

Fraction of crate in each bucket = 1/12

Thus, the fraction of crate that will go in each of the ice bucket is found as - 1/12.

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True, it is important to exercise caution when making predictions outside of the experimental region.

When using a least squares regression line, we should not predict a value of y unless the given value of x is within the range of the data used to construct the regression model, which is known as the experimental region.

Extrapolating beyond this region may lead to unreliable predictions as the regression model may not hold true outside of the range of the data. Therefore, it is important to exercise caution when making predictions outside of the experimental region.

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Therefore , the solution of the given problem of unitary method comes out to be 45 copies of the magazine are still available at the bookstore.

Use the tried-and-true core approach, the real variables, nor any useful information you learn from the general and detailed questions to finish the project expression. Customers may be given another chance to taste the products in response. If these improvements don't happen, we'll miss out on significant advancements in programming comprehension.

Here,

Let's figure out how many issues of the magazine are still available in the store.

Given: There were 90 copies in all when the bookstore opened.

1/6 of the total copies were sold at the bookstore yesterday.

=> 15 copies were sold yesterday = (1/6) * 90.

=> Total copies - Copies sold yesterday = 90 - 15 = 75 Remaining copies after yesterday's sale

=> 2/5 of the remaining copies were sold in the bookstore today.

30 copies were sold today, which

=>  (2/5) * 75.

The quantity of copies left after today's sale equals the quantity left after yesterday's sale. - Today's sales of copies:

=>  75 - 30 = 45

45 copies of the magazine are still available at the bookstore.

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The total value of the 549 coins in pounds (£) is £378.20 (or £379), depending on whether there are 110 or 111 20p coins.

Let's start by finding the number of £1 coins in the bottle. We know that ſ (one-half) of the coins are £1 coins, so:

ſ × 549 = 1/2 × 549 = 274.50

Since we can't have half a coin, we know that there are either 274 or 275 £1 coins in the bottle.

Next, we know that there are 164 50p coins in the bottle.

To find the number of 20p coins, we can subtract the number of £1 and 50p coins from the total number of coins:

549 - 274 (or 275) - 164 = 111 (or 110)

So, there are either 110 or 111 20p coins in the bottle.

To calculate the total value of the coins, we can multiply the number of each type of coin by its value and then add them up:

Value of £1 coins = £1 × 274 (or 275) = £274 (or £275)

Value of 50p coins = £0.50 × 164 = £82

Value of 20p coins = £0.20 × 111 (or 110) = £22.20 (or £22)

Total value = £274 (or £275) + £82 + £22.20 (or £22) = £378.20 (or £379)

Therefore, the total value of the 549 coins in pounds (£) is £378.20 (or £379), depending on whether there are 110 or 111 20p coins.

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The domain of  the composition function fog(x) when f(x)= √6x and g(x)= 1/ (x-6) is equal to  (-∞, 6) U (6, ∞).

Function f(x) = √6x

And g(x)= 1/ (x-6

Composition function fog is ,

fog(x) = f(g(x))

Domain of fog(x),

First, find the domain of g(x),

Here,

g(x) = 1/(x-6)

The denominator of g(x) cannot be equal to zero,

So we must exclude x = 6 from the domain of g(x).

The domain of g(x) is equal to ,

domain of g(x) = {x | x ≠ 6}

The range of g(x) is,

As x approaches 6 from the left, g(x) approaches negative infinity,

And as x approaches 6 from the right, g(x) approaches positive infinity.

Range of g(x) = (-∞, 0) U (0, ∞)

Now, the domain of fog(x),

fog(x)

= f(g(x))

= √6g(x)

=√ 6 (1 /(x - 6 ) )

Square root sign must be non-negative.

Since the range of g(x) does not include zero,

Exclude the part of the range that is less than zero.

The domain of fog(x) is,

domain of fog(x)

= {x | g(x) > 0}

= {x | x < 6} U {x | x > 6}

The domain of fog(x) consists of all real numbers except x = 6.

Therefore, the domain of fog(x) is (-∞, 6) U (6, ∞).

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The above question is incomplete, the complete question is :

Given f(x)= √6x and g(x)= 1/ (x-6) Which value is in the domain of fog.

Applying the properties of the isosceles trapezoid, we have:

m<J = 83°

m<L = 97°

m<M = 97°

An isosceles trapezoid is a trapezoid that has two equal legs. The lower base angles are equal, as well as the upper base angles are equal.

One lower base angle is always supplementary to any upper base angle.

Thus, using the information above about the isosceles trapezoid, we have:

m<J = m<K = 83°

m<L = 180 - 83

m<L = 97°

m<M = m<L = 97°

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The values of trigonometric-ratios in the given triangle whose legs are 4 and [tex]4\sqrt{3}[/tex] are:

a)sinθ=0.5

b)cosθ=0.866

c)tanθ=0.577

What is trigonometric-ratios ?

A right angle triangle has six trigonometric ratios: Sin, Cos, Tan, Cosec, Sec, and Cot. Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent are their respective acronyms. These ratios show the ratio of various sides depending on the angle selected.

Given sides of triangle: 4 and [tex]4\sqrt{3}[/tex]

hypotenuse=[tex]\sqrt{perpendicular^{2}+base^{2} }[/tex]

                  =[tex]\sqrt{4^{2}+\((4\sqrt{3}) ^{2} }[/tex]

                  =[tex]\sqrt{16+48}[/tex]

                  =8

a)Sin θ=[tex]\frac{side opposite to the given angle}{hypotenuse}[/tex]

Sin θ=[tex]\frac{4 }{8}[/tex]

Sin θ=[tex]\frac{1}{2}[/tex]

Sin θ=0.5

b)Cos θ=[tex]\frac{side adjacent to the given angle}{hypotenuse}[/tex]

            =[tex]\frac{4\sqrt{3} }{8}[/tex]

            =[tex]\frac{\sqrt{3} }{2}[/tex]

            =[tex]\frac{1.732}{2}[/tex]

Cos θ=0.866

c)tan θ=[tex]\frac{side opposite to the given angle}{side adjacent to the given angle}[/tex]

            =[tex]\frac{4}{4\sqrt{3} }[/tex]

            =[tex]\frac{1}{\sqrt{3} }[/tex]

tan θ=0.577

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