The product of the slopes of lines
and
is
.

The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

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Answer:

The Answer would be C) 3/4

Step-by-step explanation:

If you subtract a quarter of the number presented on right left hand on the picture you get the numbers presented on the left hand side of the picture shown. There fore the ratio is 3/4 or three quarters of the already existing number.

Answer:

Step-by-step explanation:

False. The derivative of the function f(x) = 5sin(x) + cos(x) is not equal to -5cos(x) - sin(x). The correct derivative of f(x) can be obtained by applying the rules of differentiation.

To find the derivative, we differentiate each term separately. The derivative of 5sin(x) is obtained using the chain rule, which states that the derivative of sin(u) is cos(u) multiplied by the derivative of u. In this case, u = x, so the derivative of 5sin(x) is 5cos(x).

Similarly, the derivative of cos(x) is obtained as -sin(x) using the chain rule.

Therefore, the derivative of f(x) = 5sin(x) + cos(x) is:

f'(x) = 5cos(x) - sin(x).

This result shows that the derivative of f(x) is not equal to -5cos(x) - sin(x).

In summary, the statement that f'(x) = -5cos(x) - sin(x) is false. The correct derivative of f(x) = 5sin(x) + cos(x) is f'(x) = 5cos(x) - sin(x).

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The highest recorded temperature in Ohio, which is 113 degrees Fahrenheit, is equivalent to 45 degrees Celsius.

According to the given formula, we can convert Fahrenheit to Celsius using the equation:

C = (5/9) * (F - 32)

where C is the temperature in Celsius and F is the temperature in Fahrenheit.

To convert the highest recorded temperature in Ohio, which is 113 degrees Fahrenheit, to Celsius, we can substitute F = 113 into the formula:

C = (5/9) * (113 - 32) = (5/9) * 81 = 45 degrees Celsius

Therefore, the highest recorded temperature in Ohio, which is 113 degrees Fahrenheit, is equivalent to 45 degrees Celsius.

It's worth noting that this is a very high temperature and can be dangerous to human health, especially if it persists for an extended period. Heat waves can cause dehydration, heat exhaustion, and other heat-related illnesses. It is essential to take precautions during such extreme weather conditions, such as staying hydrated, avoiding prolonged exposure to the sun, and staying indoors in air-conditioned spaces if possible.

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Step-by-step explanation:

the answer is a

\( \bf \dag \gray{ \frak{Given:}}\)

\( \\ \\ \)

\( \bf \dag \gray{ \frak{To~Find:}}\)

\( \\ \\ \)

We know:-

\( \bigstar \boxed{ \rm Perimeter \: of \: rectangle = 2(length + breadth)}\)

\( \\ \\ \)

So:-

\(: \implies\sf Perimeter \: of \: rectangle = 2(length + breadth) \\ \)

\( \\ \\ \)

\(: \implies\sf Perimeter \: of \: rectangle = 2( \{4x + 8 \} + \{2x + 3 \}) \\ \)

\( \\ \\ \)

\(: \implies\sf Perimeter \: of \: rectangle = 2( 4x + 8 +2x + 3) \\ \)

\( \\ \\ \)

\(: \implies\sf Perimeter \: of \: rectangle = 2( 4x + 2x+ 8 + 3) \\ \)

\( \\ \\ \)

\(: \implies\sf Perimeter \: of \: rectangle = 2( 6x+ 8 + 3) \\ \)

\( \\ \\ \)

\(: \implies\sf Perimeter \: of \: rectangle = 2( 6x+11) \\ \)

\( \\ \\ \)

\(: \implies\sf Perimeter \: of \: rectangle = 2( 6x) + 2(11) \\ \)

\( \\ \\ \)

\(: \implies\sf Perimeter \: of \: rectangle = 12x + 2(11) \\ \)

\( \\ \\ \)

\(: \implies\bf Perimeter \: of \: rectangle = 12x + 22 \\ \)

\( \\ \\ \)

\(\therefore\underline {\textsf{\textbf{ Perimeter \: of \: rectangle = 12x + 22}}}\)

The perimeter of the rectangle is 12x + 22.

The perimeter of a rectangle is calculated by the formula:

= 2(length + Braeadth)

In this case, the perimeter will be:

= 2(4x + 8 + 2x + 3)

= 12x + 22

In conclusion, the perimeter is 12x + 22.

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To determine the vertices of image U′V′W′ after a 180° counterclockwise rotation, we can apply the following transformation rules:

Using these rules, we can find the vertices of image U′V′W′ as follows:

Therefore, the vertices of image U′V′W′ after a 180° counterclockwise rotation are U′(0, -2), V′(1, -3), and W′(3, -3).

So, the answer is option (b) U′(0, −2), V′(1, −3), W′(3, −3).

Congruency is a term used to describe two objects with the same shape and size.

In this case, two triangles are congruent if they have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position.

For instance,

these triangles are congruent. They have the same sides but in different position.

Another example is

In this case the congruency is about angles. These 2 triangles have the same angles and the same sides but in different positions.

Another instance is

They are the same triangles but in different positions.

From the first question we can see that both triangles are congruent.

This imply that they are the same but in different position:

We can note that angle C is equal to angle T, therefore

In the same way, angle U is equal to angle B, then we have

We can find angle A by noticing that the interior angles of a triangle add up 180, that is

Since angle V is equal to angle A, also V=66

An angular resolution of 0.56 arcseconds is required to see the Sun and Jupiter as separate objects. This is an extremely small angle and would necessitate the use of a large telescope.

Angular resolution is defined as the minimum angle between two objects that enables a viewer to see them as distinct objects rather than as a single one. A better angular resolution corresponds to a smaller minimum angle. The angular resolution formula is θ = 1.22 λ / D, where λ is the wavelength of light and D is the diameter of the telescope. Thus, the angular resolution formula can be expressed as the smallest angle between two objects that allows a viewer to distinguish between them. In arcseconds, the answer should be given to two significant figures.

To see the Sun and Jupiter as distinct points of light, we need to have a good angular resolution. The angular resolution is calculated as follows:

θ = 1.22 λ / D, where θ is the angular resolution, λ is the wavelength of the light, and D is the diameter of the telescope.

Using this formula, we can find the minimum angular resolution required to see the Sun and Jupiter as separate objects. The Sun and Jupiter are at an average distance of 5.2 astronomical units (AU) from each other. An AU is the distance from the Earth to the Sun, which is about 150 million kilometers. This means that the distance between Jupiter and the Sun is 780 million kilometers.

To determine the angular resolution, we need to know the wavelength of the light and the diameter of the telescope. Let's use visible light (λ = 550 nm) and assume that we are using a telescope with a diameter of 2.5 meters.

θ = 1.22 λ / D = 1.22 × 550 × 10^-9 / 2.5 = 2.7 × 10^-6 rad

To convert radians to arcseconds, multiply by 206,265.θ = 2.7 × 10^-6 × 206,265 = 0.56 arcseconds

The angular resolution required to see the Sun and Jupiter as distinct points of light is 0.56 arcseconds.

This is very small and would require a large telescope to achieve.

In conclusion, we require an angular resolution of 0.56 arcseconds to see the Sun and Jupiter as separate objects. This is an extremely small angle and would necessitate the use of a large telescope.

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1. This task would likely be framed as a supervised learning problem

2. This task would also be framed as a supervised learning problem.

3. This task would typically be framed as an unsupervised learning problem.

4. This task would likely be framed as a regression problem since the goal is to estimate the repair time,

5. This task can be considered as an unsupervised learning problem.

Deciding whether to issue a loan to an applicant based on demographic and financial data (with reference to a database of similar data on prior customers):

This task would likely be framed as a supervised learning problem. The goal is to predict whether to approve or reject a loan application based on the given data. Hence, it can be considered a classification problem.

In an online bookstore, making recommendations to customers concerning additional items to buy based on the buying patterns in prior transactions:

This task would also be framed as a supervised learning problem. The goal is to recommend additional items to customers based on their buying patterns. It can be approached as a recommendation system using collaborative filtering techniques, which involve predicting customer preferences. This can be considered a classification problem.

Identifying segments of similar customers:

This task would typically be framed as an unsupervised learning problem. The objective is to identify groups or clusters of similar customers based on their attributes or behaviors. Unsupervised learning algorithms such as clustering can be used to accomplish this task.

Estimating the repair time required for an aircraft based on a trouble ticket:

This task would likely be framed as a regression problem since the goal is to estimate the repair time, which is a continuous variable. Supervised learning techniques such as regression algorithms can be employed to predict the repair time based on the provided input features.

Automated sorting of mail by zip code scanning:

This task can be considered as an unsupervised learning problem. The aim is to sort mail based on zip codes, which involves grouping similar items together. Unsupervised learning algorithms like clustering can be utilized to identify patterns and group the mail accordingly.

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Answer:

y=2x

Step-by-step explanation:

As you can see in the picture, the y value is 2 times the x value.

The coordinate is (2√2 , 0).

Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.

If you rotate the point (2,-2) positive 45 around the origin.

To find the coordinates:

the formula;

X = xcosФ - ysinФ

And Y = xsinФ + ycosФ

and here Ф = 45° and x = 2 and y = -2

Now, X = 2/√2 + 2/√2 = 2√2

Y = 2/√2 - 2/√2 = 0

Therefore, the coordinate is  (2√2 , 0).

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Answer: w = 5

Step-by-step explanation:

Step 1: Take cube root.

w=(125) ^(1/3)

W = 5

Answer:

5

Step-by-step explanation:

when the question asks for evaluate, always substitute the expression with the values given.

So, her x = -3 and y=4

So we find 1/2 of 2x - y

This is also half of -6-4 = -half of -10 = 5

Hope this helps,

Good Luck

Answer:

solution,

\(given \\ x = - 3 \\ y = 4 \\ - \frac{1}{2} (2x - y) \\ = - \frac{1}{2} (2 \times ( - 3) - (4)) \\ = - \frac{1}{2} \times ( - 6 - 4) \\ = - \frac{1}{2} \times ( - 10) \\ = - 1 \times ( - 5) \\ = 5\)

hope this helps...

Good luck on your assignment..

The slope of the tangent line to the trochoid `x=rt−dsin(t), y=r−dcos(t)` - in terms of `t`, `r`, and `d` is `dy/dx = (dy/dt) ÷ (dx/dt)

The slope of the tangent line to the trochoid `x=rt−dsin(t), y=r−dcos(t)` - in terms of `t`, `r`, and `d` is given by `dy/dx` which is the same as `dy/dt ÷ dx/dt`.

We have `x=rt−dsin(t)` and `y=r−dcos(t)`Taking the derivative of `x` with respect to `t`, we get;

`dx/dt = r - d cos(t)`

Taking the derivative of `y` with respect to `t`, we get;`

dy/dt = d sin(t)`

Hence, the slope of the tangent line is given by;`

dy/dx = (dy/dt) ÷ (dx/dt)

= (d sin(t)) ÷ (r - d cos(t))`

The slope of the tangent line to the trochoid `x=rt−dsin(t), y=r−dcos(t)` - in terms of `t`, `r`, and `d` is `dy/dx = (dy/dt) ÷ (dx/dt) = (d sin(t)) ÷ (r - d cos(t))`.

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False: The null hypothesis is a claim that will only be accepted if there is strong sample evidence indicating it is false.

For the sake of comparison, the null hypothesis in any sort of hypothesis testing is taken to be true. The sample is gathered to look for evidence that the assumed-true null hypothesis is erroneous (or false). The null hypothesis is never supported by the sample data.

As a result, it is untrue to say that "sample evidence can prove that even a null hypothesis is valid."

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Since the value is a numerical measurement representing a property of a sample, it is statistical.

Given that a sample of workers is chosen, and it is discovered that 55% of them possess a car.

Let's first clarify the distinction between a parameter and a statistic before moving on to the questions.

Parameters are numerical summaries of population statistics. However, statistics are numerical summaries of sample data.

Sample is a subset of the population; as such, it is just a small percentage of the whole population.

The percentage of the sample of employees in this case is 55%. Statistic refers to a numerical representation of data about a sample.

The value is statistical since it is a numerical measurement that describes a property of a sample.

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Answer:

b. 40

Step-by-step explanation:

The value of x (exterior angle) is equal to half of the difference of given arcs

(100 - 20) ÷ 2 = 40

Answer:

I can find that the measure of RS

Step-by-step explanation:

The measure of RS can be discovered as both have corresponding sides. Therefore, both are the same

The probability of the binomial distribution:

R

Copy code

sum(dbinom(0:15, size = 60, prob = 1/6))

To estimate the probability of rolling 15 or fewer sixes when rolling a die 60 times, we can use a normal approximation.

In this case, we can assume that rolling a six follows a binomial distribution with parameters n = 60 (number of trials) and p = 1/6 (probability of success, which is rolling a six).

To estimate the probability using a normal approximation, we need to calculate the mean (μ) and standard deviation (σ) of the binomial distribution and then use these values to approximate the probability using a normal distribution.

The mean of a binomial distribution is given by μ = n * p, and the standard deviation is given by σ = √(n * p * (1 - p)).

For this problem, we have n = 60 and p = 1/6. Therefore, μ = 60 * (1/6) = 10 and σ = √(60 * (1/6) * (1 - 1/6)) ≈ 2.5819.

To estimate the probability using the normal approximation, we can use the cumulative distribution function (CDF) of the normal distribution. We want to find P(X ≤ 15), where X is the number of sixes rolled.

Using R, we can calculate this probability using the pnorm() function with the parameters mean = μ and sd = σ:

pnorm(15, mean = 10, sd = 2.5819)

The true probability can be found by using the dbinom() function, which directly calculates the probability of the binomial distribution:

R

Copy code

sum(dbinom(0:15, size = 60, prob = 1/6))

By comparing the estimated probability using the normal approximation with the true probability calculated using the binomial distribution, we can assess the accuracy of the approximation.

Please note that the values obtained will depend on the specific version of R and its packages used, as well as the specific implementation details.

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Answer:

y=-38

Step-by-step explanation:

First we have to put the x value in

2(-10)-18=y

-20-18=y

-38=y

Answer:

3,2,4, then 1

The polygon with greater area is the square and that with greater perimeter is the rectangle, this is so because the length of sides of the square differ from that of the rectangle

From the information given, we have that:

Formula for perimeter of a rectangle

Perimeter = \(2l + 2 \sqrt{d^2 - l^2}\)

Perimeter = 2( 20) + 2 \(\sqrt{52^2 - 20^2}\)

Perimeter = 40 + 2 ( 48)

Perimeter = 136 cm

Perimeter of a square = 2 √2d

Perimeter = 2 √ 2(52)

Perimeter = 2√104

Perimeter = 20. 3 cm

Area of square = 1/2 diagonal square

Area = 1/ 2 × 52²

Area = 1352 cm²

Area of rectangle = \(l\sqrt{d^2 - l^2}\)

Area = 20 \(\sqrt{52^2 - 20^2}\)

Area = 20 × 48

Area = 960cm²

Thus, the polygon with greater area is the square and that with greater perimeter is the rectangle, this is so because the length of sides of the square differ from that of the rectangle

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Answer:

Any number other than 4

Step-by-step explanation:

I think we should first determine what value would make the equation true.

13 = 2x + 5

13 - 5 = 2x

8 = 2x

4 = x

Let's try plugging in 5 for x.

13 = 2 (5) + 5

13 = 10 + 5

13 = 15

Obviously this isn't true. 13 has never equaled

Let's try plugging in 3 for x.

13 = 2(3) + 5

13 = 6 + 5

13 = 11

This can't be true either.

So the two values that make this false are  5 and 3.

In short, this equation has only one value that makes it true. It's 4. Any number other than 4 makes it false.

Answer: 5.0625 or 5 1/16

Step-by-step explanation:

im smart

Answer:

15) f = 18

3f = 54

6f = 108

16) k = 69

Step-by-step explanation:

15)

3f + 6f + f = 180

10f= 180

f = 18

16)

42 + k + k = 180

42 + 2k = 180

2k = 138

k = 69

One meter is 100 cm so Tanya should plant the saplings 20 centimetres apart.

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.

As we know;-

1 meter is 100 cm so 0.2 meters will be calculated as:-

1 meter = 100 cm

0.2 meter = 0.2 x 100 = 20 centimeters.

Therefore One meter is 100 cm so Tanya should plant the saplings 20 centimetres apart.

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Answer:

x=-28

Step-by-step explanation:

Answer:

x=-28

Step-by-step explanation:

Answer:

factors

Step-by-step explanation:

To find the roots of a polynomial, it is often useful to find the Factors of the polynomial.