What is the slope of a line parallel to the line whose equation is x-2y=4. Fully simplify your answer.

Answer:

D.

\(y = - 4x - 5\)

Step-by-step explanation:

This is because the slopes are the same

Answer:

The option you chose is correct (second option)

Step-by-step explanation:

This is because since -4x is only greater than and not equal to 20, the circle should be open. Then the larges the number, the better because a negative times negative is a positive. The product of -4x has to result in something larger than 20.

Hope this helps!

Answer:

blank1: 9

blank2: 30°

blank3: 60°

blank4: 90°

blank5: half

Step-by-step explanation:

The 30°-60°-90° triangle has some great shortcuts associated with it (there are math reasons, trig reasons for these shortcuts)

One of these great shortcuts is that the short leg is half the hypotenuse (or the hypotenuse is double the short leg)

For your question, the kite string, 18ft, is the hypotenuse. The kite height is half that--9ft.

see image.

Answer:

C. {(0, −1), (2, 2), (1, −2), (3, 0), (1, 1)}

hope it helps you

The alternative and hull hypotheses is H₀: P=0.03, H₁: P≠0.03.

Given that,

According to a representative of the Ohio Department of Education, 3% of graduating high school seniors in Ohio have dropped out in recent years. Out of the 600 pupils enrolled, 30 students from Podunk High School dropped out of school last year.

We have to find is there enough data to say that this school's dropout rate is higher than the state average. Using symbols and words, state the alternative and hull hypotheses.

We know that,

n is 600,

3% Ohio high school seniors dropout.

30 dropout out of 600 in Podunk high school.

Here,

H₀: μ₁=μ₂  vs   H₁:μ₁≠μ₂

In coordinates,

H₀⇒ dropout number is equal for both schools.

H₁⇒ dropout number not equal for both schools.

H₀: P=0.03, H₁: P≠0.03.

Therefore, The alternative and hull hypotheses is H₀: P=0.03, H₁: P≠0.03.

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The mean of the fitted exponential distribution is 66.67.

To find the mean of the fitted exponential distribution, we first need to estimate the parameter lambda using maximum likelihood estimation.

The probability density function of the exponential distribution is given by

f(x; lambda) = lambda * exp(-lambda * x)

where x is the claim size and lambda is the parameter to be estimated.

The likelihood function for the observed data is the product of the individual probabilities of each claim

L(lambda) = lambda^n * exp(-lambda * sum(x_i))

where n is the number of observed claims and x_i is the i-th claim size.

The log-likelihood function is given by:

ln L(lambda) = n * ln(lambda) - lambda * sum(x_i)

To estimate the parameter lambda, we need to maximize the log-likelihood function with respect to lambda:

d/d(lambda) ln L(lambda) = n/lambda - sum(x_i) = 0

Solving for lambda, we get

lambda = n / sum(x_i)

Substituting the observed values, we get

lambda = 6 / (20 + 45 + 50 + 80 + 100 + 2*100) = 0.015

Therefore, the estimated parameter of the fitted exponential distribution is lambda = 0.015.

The mean of the exponential distribution is given by

E(X) = 1/lambda

Substituting the estimated value of lambda, we get

E(X) = 1/0.015 = 66.67

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Answer:

what is this? ahdhdjxkdjjshsysusiiaiajsjjdyxc

Answer:

The maximum size of the smaller jars is 6 liters

Step-by-step explanation:

Container 1=174 liters of oil

Container 2=258 liters of oil

Same pours the entire content of container one and container 2 into the same number of smaller jars

The maximum size of the smaller jar can be found by finding the highest common factor of 174 and 258

Factors of 174=1,2,3,6,29

Factors of 258=1,2,3,6,43

Common factors of 174 and 258=1,2,3 and 6

Highest common factor=6

Therefore,

The maximum size of the smaller jars is 6 liters

number of adult ticket = x

number of child ticket = y

Total number of ticket = 16

The equation in point-slope form is y - 5 = (5/3)(x + 5). The general form of the equation is 5x - 3y + 40 = 0.

To find the equation of a line parallel to the given line and passing through the point (-5,5), we can use the point-slope form of a linear equation. The point-slope form is y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope of the line. First, we need to find the slope of the given line, and then we can substitute the values into the point-slope form to obtain the equation. Additionally, we can convert the equation to the general form, which is Ax + By + C = 0, by rearranging the terms.

The given line has the equation 5x - 3y - 2 = 0. To find the slope of this line, we can rearrange the equation in slope-intercept form (y = mx + b), where m represents the slope. Rearranging the equation gives us:

-3y = -5x + 2

y = (5/3)x - 2/3

From the equation, we can see that the slope of the given line is 5/3. Since the line we want to find is parallel to this line, it will have the same slope.

Now, using the point-slope form with the point (-5,5) and the slope 5/3, we can write the equation:

y - 5 = (5/3)(x - (-5))

y - 5 = (5/3)(x + 5)

This is the equation of the line in point-slope form.

To convert it to general form, we can multiply through by 3 to eliminate the fraction:

3y - 15 = 5x + 25

5x - 3y + 40 = 0

This is the equation of the line in general form.

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The mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).

We have,

In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.

To find the mean absolute deviation (MAD), we need to first calculate the mean of the given data set:

mean = (4 + 5 + 7 + 9 + 8) / 5 = 6.6

Next, we calculate the deviation of each data point from the mean:

|4 - 6.6| = 2.6

|5 - 6.6| = 1.6

|7 - 6.6| = 0.4

|9 - 6.6| = 2.4

|8 - 6.6| = 1.4

Then we find the average of these deviations, which gives us the mean absolute deviation:

MAD = (2.6 + 1.6 + 0.4 + 2.4 + 1.4) / 5 = 1.6

Therefore, the mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).

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The perimeter of the square ABCD is given as follows:

P = 44.8 units.

The perimeter of a square of side length s is given by the multiplication of 4 and the side length, as follows:

P = 4s.

One of the sides in the square is AB, hence we apply the formula for the distance between two points to obtain the side length, as follows:

\(s = \sqrt{(8 - 3)^2 + (-14 - (-4))^2} = 11.2\)

Hence the perimeter is given as follows:

P = 4 x 11.2

P = 44.8 units.

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Answer:

\(\frac{3}{20}\)

Step-by-step explanation:

slope/gradient=\(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

                        =\(\frac{-9.75+9}{-1-4}\)

                        =\(\frac{3}{20}\)

Using the cosine rule, the distance the plane has flown during Jack's phone call can be calculated by taking the square root of the sum of the squares of the initial and final distances, minus twice their product, multiplied by the cosine of the angle difference.

To determine the distance the plane has flown during Jack's phone call, we can use the cosine rule in trigonometry.

The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles.

Let's denote the initial distance from Jack to the plane as d1 and the final distance as d2.

We know that the altitude of the plane remains constant at 2400 meters.

According to the cosine rule:

\(d^2 = a^2 + b^2 - 2ab \times cos(C)\)

Where d is the side opposite to the angle C, and a and b are the other two sides of the triangle.

For the initial angle of elevation (70°), we have the equation:

\(d1^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \timescos(70)\)

Similarly, for the final angle of elevation (50°), we have:

\(d2^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \times cos(50)\)

To find the distance the plane has flown, we subtract the two equations:

\(d2^2 - d1^2 = 2 \times 2400 \times a \times (cos(70) - cos(50))\)

Now we can solve this equation to find the value of a, which represents the distance the plane has flown.

Finally, we calculate the square root of \(a^2\) to find the distance in meters.

It's important to note that the angle of elevation assumes a straight-line path for the plane's movement and does not account for any changes in altitude or course adjustments that might occur during the phone call.

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Numbers, letters, images, and symbols that are not interpreted or processed are classified as Data.

statistics in math is a group of information and figures that can be in any shape—numerical or non-numerical. Numerical facts are the only ones you could calculate, and it is continually accrued in quantity shape, along with scores of college students in elegance, wages of employees in a business enterprise, the peak of gamers on a football team, and so on.

statistics can come in the shape of text, observations, figures, photos, numbers, graphs, or symbols. as an example, information might consist of individual costs, weights, addresses, ages, names, temperatures, dates, or distances. information is a raw form of know-how and, on its very own, would not convey any importance or motive.

An information set is a group of numbers or values that relate to a specific concern. as an example, the check scores of every pupil in a particular magnificence are records set.

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The interest rate for the savings account is 5% after 4 years, $20,000 deposited in a savings account with simple interest earned $800 in interest.

We can use the formula for simple interest to solve the problem:

Simple interest = (Principal * Rate * Time) / 100

where Principal is the initial amount deposited, Rate is the interest rate, and Time is the time period for which the interest is calculated.

We know that the Principal is $20,000 and the time period is 4 years. We are also given that the interest earned is $800. So we can plug in these values and solve for the interest rate:

$800 = (20,000 * Rate * 4) / 100

Multiplying both sides by 100 and dividing by 20,000 * 4, we get:

Rate = $800 / (20,000 * 4 / 100) = 0.05 or 5%

Therefore, the interest rate for the savings account is 5%.

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Answer:

Step-by-step explanation:

its a

Answer:

I believe it C

Based on the given sample, the number of voters vote for the incumbent are 1,200,000.

Based on the sample, it can be estimated that approximately 1,200,000 of the 2,000,000 voters will vote for the incumbent.

This can be calculated by taking the sample size of 10 and multiplying it by the proportion of votes that the incumbent received (6/10).

This gives a result of 6/10 x 2,000,000 = 1,200,000.

However, it is important to note that this is just an estimate and the actual number of votes for the incumbent could be higher or lower than 1,200,000.

Therefore, based on the given sample, the number of voters vote for the incumbent are 1,200,000.

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Chef should prepare 4 cakes and 5 batches of pastry in order to achieve maximum profits and his maximum profit or revenue by solving through inequality is $260.

Given Chef uses 5 cups of cake batter for 1 cake and 4 cups of batter for 1 batch of cupcakes. Chef wants to make at least 4 cakes. Profit on 1 cake is $35 and $30 for 1 batch of cupcake.

let the number of cakes be x and the number of batches of cupcakes be y such that

5x+4y<=40--------1

x>=4---------------2

Maximize Profit=35x+30y

Inequalities contains different signs so we have to change one inequality.

5x+4y<=40

-x<=-4

Now assume them equalities

5x+4y=40-------3

-x=-4

multiply second equations by 5

-5x=-20-----------4

now  add 3 and 4

5x+4y-5x=40-20

4y=20

y=5

now put the value of y in 5x+4y=40

5x+4*5=40

5x+20=40

5x=20

x=4.

Maximum Profit=35x+30y

=35*4+30*5

=$260

Hence chef should make 4 cakes and 5 batches of pastry and maximum profit of $260.

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Answer:

The answer is 48

Step-by-step explanation:

Answer:

48 students

4*12=48

The correct answer is (C) since the limitations to depict this real-world problem in inequality are 75 < x < 110 and 0 < y ≤ 50.

The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. It is an illustration of inequity.

This shows that the left half, 5x 4, is bigger than the right part, 2x + 3.

So, our senior trip will be a group excursion to a beach.

Only when the temperature is between 75 and 110 degrees does the resort permit swimming.

On your excursion, there is space for 50 people.

Let y represent the number of travelers and x represent the temperature.

The temperature ranges from 75 to 110 degrees:

75 < x < 110  

On your excursion, there is space for 50 persons:

0 < y ≤ 50

Therefore, the correct answer is (C) since the limitations to depict this real-world problem in inequality are 75 < x < 110 and 0 < y ≤ 50.

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Complete question:
A class trip to a beach has been planned for your senior trip. The resort only allows swimming when the temperature is between 75 degrees and 110 degrees. There is room for 50 people on your trip. Write the constraints to represent this real-world problem, where x is the temperature and y is the number of people on your trip.

a. 0 < x ≤ 50 and 75 < y < 110

b. x > 75 and y < 110

c. 75 < x < 110 and 0 < y ≤ 50

d. x < 110 and y > 75

The explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

The given sequence is -4, 16, -64, 256,...

If we observe the sequence it is a geometric sequence

aₙ=a.rⁿ⁻¹

a is the first term and r is the common ratio

From the sequence the first term is -4 and common ratio is -4

aₙ=(-4).(-4)ⁿ⁻¹

Plug in the value n as 8

a₈=(-4).(-4)⁷

The value of minus four power seven is minus sixteen thousand three hundred eighty four

a₈=(-4)(-16384)

When four is multiplied with sixteen thousand three hundred eighty four we get sixty five thousand five hundred thirty six

a₈= 65536

Hence, the explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

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The probability that in any given period of 400 days there will be an accident on one day is 0.2707

Given that;

In a certain industrial facility, accidents occur infrequently. it is known that the probability of an accident on any given day is 0.005 and accidents are independent of each other.

n = 400, p = 0.005

Poisson distribution is given by;

e P(x) = (λˣe^λ ) / x!

Here, Mean(λ) = np

                        = 400*0.005

                        =2

The probability that there will be an accident on one day;

(P(x = 1)) = (λxe-λ)/x!

             = 2*e-2

             = 0.2707

The probability that in any given period of 400 days there will be an accident on one day is 0.2707

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To convert the given order of integration to the desired order, we start by writing down the limits of integration for each variable in the new order. We have:

a = 0, b = 2

g(z) = 0, f(z) = √(4 - z^2)

k(x,z) = -√(4 - z^2) , h(x,z) = √(4 - x^2 - z^2)

Now, we can write the equivalent integral in the new order of integration:

∫ba∫g(z)f(z)∫k(x,z)h(x,z)F(x,y,z)dydxdz = ∫0^2 ∫0^√(4-z^2) ∫-√(4-z^2)^(√(4-x^2-z^2)) F(x,y,z) dydxdz

Note that the integrand F(x,y,z) is not dependent on y, so we can simplify the integral with respect to y to get:

∫ba∫g(z)f(z)∫k(x,z)h(x,z)F(x,y,z)dydxdz = ∫0^2 ∫0^√(4-z^2) ∫-√(4-z^2)^√(4-x^2-z^2) F(x,z) dxdz

This is the equivalent integral with the desired order of integration.

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Answer:

is the right answer.

Answer:

3(e+2)

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The resulting matrix of b - 2f is matrix(3,4,([0,10,-14,9,-2,0,16,11,-15,-9,-21,-9])).

To find the matrix resulting from b - 2f, we need to first find the matrix resulting from multiplying f by 2. This can be done by multiplying each element of f by 2.

f * 2 = matrix(3,4,([-2,-10,16,-6,-6,-10,-14,-6,18,18,12,14]

Next, we can subtract this matrix from b.

b - 2f = matrix(3,4,([-2,0,2,3,-8,-10,2,5,3,9,-9,5]) - matrix(3,4,([-2,-10,16,-6,-6,-10,-14,-6,18,18,12,14]))

= matrix(3,4,([0,10,-14,9,-2,0,16,11,-15,-9,-21,-9]))

Therefore, the resulting matrix of b - 2f is matrix(3,4,([0,10,-14,9,-2,0,16,11,-15,-9,-21,-9])).

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When rounding 8355 to the nearest one, the upper bound is 8356, as it is the smallest integer greater than or equal to 8355.

What is the upper bound when rounding 8355 to the nearest one?

When rounding 8355 to the nearest one, we look at the digit in the ones place, which is 5.

Since 5 is exactly halfway between 0 and 9, we round up to the next higher number.

The upper bound, in this case, is the smallest integer greater than or equal to 8355, which is 8356.

when rounding 8355 to the nearest one, the upper bound is 8356.

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The mean of the sampling distribution of means (μM) would be 6, assuming a population mean of 5 and sample size of 2.

To calculate the mean of the sampling distribution of means (μM), we need to know the mean of the population (μ) and the sample size (n). Since the population mean is not provided in the question, let's assume that the mean of the population is 5.

Now, we know that the mean of a sample is the sum of all the values in the sample divided by the sample size. So, the mean of each sample of size 2 drawn from the population would be:

(5 + 7) / 2 = 6

There are 100 possible samples of size 2 that can be drawn from the population of 10 values. Therefore, to find the mean of the sampling distribution of means (μM), we need to take the mean of all the sample means:

μM = (6 + 6 + ... + 6) / 100

μM = (100 × 6) / 100

μM = 6

Therefore, the mean of the sampling distribution of means (μM) would be 6, assuming a population mean of 5 and sample size of 2.

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