find the slope of the line passing through (-9,-6) and (-4,5)

Step-by-step explanation:

You have 1 missed call(s) from +918897

Answer: Midpoint=(−6 ,3.5)

Step-by-step explanation:

=(1+22,1+22)M=(x1+x22,y1+y22)=(−1+−112,−3+102)M=(−1+−112,−3+102)=(−122,72)M=(−122,72)=(−6,312)

Answer:

(-6,3.5)

Step-by-step explanation:

x = \(\frac{-1-11}{2}\) = \(\frac{-12}{2}\) = -6

y = \(\frac{-3+10}{2}\) = \(\frac{7}{2}\) = 3.5

ANSWER

EXPLANATION

We want to find the union of the two sets given:

The union of the two sets is the combined set of all numbers that are in the two sets.

Therefore, we have that:

That is the answer.

Answer:

150%

Step-by-step explanation:

(95 - 38)/38 x 100

57/38 x 100

1.5 x 100 =

150 percentage change

Hope this helps :)

Using the percentage concept, it is found that 4.6% of the total energy production was generated by wind machines.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

\(P = \frac{a}{b} \times 100\%\)

In this problem, the parameters are:

a = 187.4, b = 4098.

Hence the percentage is given by:

P = 187.4/4098 x 100% = 4.6%.

4.6% of the total energy production was generated by wind machines.

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The linear function that defines C is given as follows:

C(x) = 400 + 100x.

The y-intercept of 400 represents that the fixed cost of producing zero phones on a day is of $400.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

From the image given at the end of the answer, the values of these parameters are given as follows:

m = 100, b = 400.

The y-intercept of 400 are the operating costs of the company, as they have to be paid even when zero phones are produced, and thus the equation is given as follows:

y = 100x + 400.

The graph is given by the image shown at the end of the answer.

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The various equations are categorized into:

To determine which equations have one solution, infinitely many solutions, or no solution, simplify each equation and look for patterns.

1.  \(\frac{1}{2}y + 3.2y = 20\)

Combining like terms:

\(\frac{1}{2}y + 3.2y = 20\)

Simplifying:

3.7y = 20

Dividing both sides by 3.7:

\(y = \frac{20}{3.7}\)

Therefore, this equation has one solution.

2. \(\frac{15}{2} + 2z - \frac{1}{4} = 4z + \frac{29}{4} - 2z\)

Combining like terms:

\(\frac{15}{2} + 2z - \frac{1}{4} = 4z + \frac{29}{4} - 2z\)

Simplifying:

\(\frac{15}{2} + z = z\)

Subtracting z from both sides:

\(\frac{15}{2} = 0\)

This is a contradiction since \(\frac{15}{2}\) cannot equal 0. Therefore, this equation has no solution.

3.  3z + 2.5 = 3.2 + 3z

Subtracting 3z from both sides:

2.5 = 3.2

This is a contradiction since 2.5 cannot equal 3.2. Therefore, this equation has no solution.

4.  \(1.1 + \frac{3}{4 } x + 2 = 3.1 + \frac{3}{4} x\)

Subtracting \(\frac{3}{4 } x\) from both sides and simplifying:

\(3.1 - 1.1 + 2 = \frac{3}{4} x\)

Simplifying:

4 = \(\frac{3}{4 } x\)

Multiplying both sides by \(\frac{4}{3}\) :

\(x = \frac{16}{3}\)

Therefore, this equation has one solution.

5.  4.5r = 3.2 + 4.5r

Subtracting 4.5r from both sides,:

0 = 3.2

This is a contradiction since 0 cannot equal 3.2. Therefore, this equation has no solution.

6.  \(2x + 4 = 3x + \frac{1}{2}\)

Subtracting 2x from both sides and simplifying:

\(4 = x + \frac{1}{2}\)

Subtracting 1/2 from both sides and simplifying:

\(\frac{7}{2} = x\)

Therefore, this equation has one solution.

In summary, the equations have the following number of solutions:

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Aaron's taxable income is negative (-$10,100), it means that he does not have any taxable income.

To determine the amount of taxable income for Aaron Rentz in 2020, we need to consider his wages, interest income, and any deductions or credits he may be eligible for.

From the given information, Aaron has $900 of wages and $1,400 of interest income.

In 2020, the standard deduction for a single individual was $12,400. Since Aaron is a qualifying child of his parents, he may not be able to claim his own personal exemption.

To calculate Aaron's taxable income, we subtract the standard deduction from his total income:

Taxable Income = Total Income - Standard Deduction

Taxable Income = $900 + $1,400 - $12,400

Taxable Income = $2,300 - $12,400

Taxable Income = -$10,100

Since Aaron's taxable income is negative (-$10,100), it means that he does not have any taxable income.

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Answer:

1. The standard deviation of the sample proportion is approximately 0.0124

2. The mean and standard deviation of the normal approximation are:

Mean = 0.6800

Standard Deviation = 0.0124

3. The lower and upper bounds for the centered interval where 80% of the p^ values should lie are approximately:

Lower bound = 0.674

Upper bound = 0.686

Step-by-step explanation:

For Question 06:

To find the standard deviation of the sample proportion, we can use the formula:

Standard Deviation (σ) = sqrt((p * (1 - p)) / N)

Given:

True proportion (p) = 0.68

Sample size (N) = 1200

Plugging in these values into the formula, we get:

Standard Deviation (σ) = sqrt((0.68 * (1 - 0.68)) / 1200) ≈ 0.0124

Rounding to four decimal places, the standard deviation of the sample proportion is approximately 0.0124.

For Question 07:

The mean and standard deviation of the normal approximation for the sampling distribution of p^ can be approximated as follows:

Mean (μ) = p = 0.68 (given)

Standard Deviation (σ) = sqrt((p * (1 - p)) / N) ≈ 0.0124 (from Question 06)

Rounded to four decimal places, the mean and standard deviation of the normal approximation are:

Mean = 0.6800

Standard Deviation = 0.0124

For Question 08:

To find the lower and upper bounds for a centered interval where 80% of the p^ values should lie, we need to calculate the z-score associated with the 80% confidence level.

Since the confidence interval is centered, we have 10% of the data on either side of the interval. Therefore, the remaining 80% is divided equally into the two tails, making each tail 40%.

Using a standard normal distribution table or calculator, we can find the z-score corresponding to the cumulative probability of 0.40. The z-score is approximately 0.253.

Now we can calculate the lower and upper bounds:

Lower bound = p^ - (z * σ)

Upper bound = p^ + (z * σ)

Given:

p^ = 0.68 (given)

σ = 0.0124 (from Question 06)

z = 0.253

Plugging in these values, we get:

Lower bound = 0.68 - (0.253 * 0.0124) ≈ 0.674

Upper bound = 0.68 + (0.253 * 0.0124) ≈ 0.686

Rounded to three decimal places, the lower and upper bounds for the centered interval where 80% of the p^ values should lie are approximately:

Lower bound = 0.674

Upper bound = 0.686

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Answer:

B) -4, - 1, 2, 5, 8

Step-by-step explanation:

Hope it helps you in your learning process

Answer:

The Median is 75

Step-by-step explanation:

median is the middle number in a set of given numbers

arranging in order will be

30,64,70,80,90,110

the middle numbers are 70 and 80

Median=80+70/2

=150/2

Median=75

The simplified expression is (1/4)^(1/22), which is equivalent to option (1/4)^(1/11).

To simplify the given expression (((4^1/3)*(4^2/6))/4^5/6)^3/11, we can start by simplifying the exponents.

Recall the exponent rules:

1. (a^m)^n = a^(m*n)

2. a^m/a^n = a^(m-n)

3. (a/b)^n = a^n/b^n

Let's simplify step by step:

Step 1: Simplify the exponents within the parentheses.

4^(1/3) = (4^(1/3))^1 = 4^(1/3 * 1) = 4^(1/3)

4^(2/6) = (4^(2/6))^1 = 4^(2/6 * 1) = 4^(1/3)

4^(5/6) = (4^(5/6))^1 = 4^(5/6 * 1) = 4^(5/6)

After simplification, the expression becomes:

(((4^(1/3))*(4^(1/3)))/(4^(5/6)))^(3/11)

Step 2: Apply the exponent rules for multiplication and division.

4^(1/3) * 4^(1/3) = 4^((1/3) + (1/3)) = 4^(2/3)

4^(2/3) / 4^(5/6) = 4^((2/3) - (5/6)) = 4^(-1/6)

The expression simplifies further to:

(4^(-1/6))^(3/11)

Step 3: Apply the exponent rule for raising an exponent to another exponent.

(4^(-1/6))^(3/11) = 4^((-1/6)*(3/11)) = 4^(-1/22)

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Answer:

111113111114111113 and 111111131111111411111113

Step-by-step explanation:

Here we want to know the next two numbers in the sequence.

The key here is that we shall be placing the same number of digit 1 between each of the digits 3 4 3

We went from a single 1 to triple, so the next will be 5 digit 1 and the next will be 7 digit 1

So the next number after the third will be;

111113111114111113

The next number after this will be;

111111131111111411111113

the ordered pairs associated with this partition are:

(1, 1), (2, 2), (2, 3), (2, 4), (2, 5), (3, 2), (3, 3), (3, 4), (3, 5), (4, 2), (4, 3), (4, 4), (4, 5), (5, 2), (5, 3), (5, 4), (5, 5).

To find the ordered pairs associated with each partition, we need to find all pairs of elements in A that belong to the same subset in the partition.

a) {{1, 2},{3, 4, 5}}:

The subsets in this partition are {1, 2} and {3, 4, 5}. Therefore, the ordered pairs associated with this partition are:

(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (3, 4), (3, 5), (4, 3), (4, 4), (4, 5), (5, 3), (5, 4), (5, 5)

b) {{1}, {2}, {3, 4}, {5}}:

The subsets in this partition are {1}, {2}, {3, 4}, and {5}. Therefore, the ordered pairs associated with this partition are:

(1, 1), (2, 2), (3, 3), (3, 4), (4, 3), (4, 4), (5, 5)

c) {{2, 3, 4, 5}, {1}}:

The subsets in this partition are {2, 3, 4, 5} and {1}. Therefore, the ordered pairs associated with this partition are:

(1, 1), (2, 2), (2, 3), (2, 4), (2, 5), (3, 2), (3, 3), (3, 4), (3, 5), (4, 2), (4, 3), (4, 4), (4, 5), (5, 2), (5, 3), (5, 4), (5, 5).
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Answer:

Uh-

Look below.

Step-by-step explanation:

\(11^2+9^2=x^{2} \\\\121+81=x^{2} \\202=x^{2} \\\sqrt{202}\)

The measure of the side length (that is hypotenuse) of the right-angle triangle will be √202 units.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

Let the missing side of this right triangle be х.

Then the measure of the side length (that is hypotenuse) of the right-angle triangle will be

x² = 9² + 11²

x² = 81 + 121

x² = 202

 x = √202

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The rule of inference being used here is Modus Tollens. Modus Tollens is a valid deductive argument form that states if a conditional statement "If P, then Q" is true and the consequent Q is false, then the antecedent P must also be false.

In the given scenario, the conditional statement is "If the guard dog doesn't know a person, then it barks."

The observation that the dog didn't bark (Q is false) leads to the conclusion that the dog must have known the person (the antecedent P is false).

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Answer:

so whats your question?

Step-by-step explanation:

1WHATS

2YOUR

3QUESTION

4?????

Answer:

5

Step-by-step explanation:

the greatest common factor of 50, 15, and 45 is 5

Given :

we need to find the greatest common factor of 50, 15, and 45

Lets write the prime factors for each number

Prime factors

\(50 =5 \cdot 5 \cdot 2\\15= 5 \cdot 3\\45= 3 \cdot 3\cdot 5\)

Now we look at the common factor for all the three numbers

Greatest common factor is 5

the greatest common factor of 50, 15, and 45 is 5

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The sum of the interior angle is 1440°.

Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three internal angles. Interior angles are sometimes defined as "angles confined in the interior area of two parallel lines when they are crossed by a transversal."

The sum of the interior angles of an n-sided polygon can be found using the formula:

the sum of interior angles = (n-2) x 180 degrees

For a 10-sided polygon, applying this formula gives:

sum of interior angles = (10-2) x 180 degrees = 8 x 180 degrees = 1440 degrees

However, since the polygon is irregular, we cannot assume that all of its angles are equal.

Therefore, the sum of the interior angles of the 10-sided irregular polygon can only be determined if the measures of its angles are known.

Therefore, 1440° is the required angle measure.

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We can say that the probability of observing a sample mean of 123.5 wpm or higher by chance alone, assuming the population means is 119 wpm and the standard deviation is 15 wpm, is 4.18%.

To solve this problem, we need to use the central limit theorem, which states that the distribution of sample means will be approximately normal, regardless of the underlying distribution, as long as the sample size is sufficiently large.

In this case, we have a population mean of 119 wpm and a standard deviation of 15 wpm. We want to know the probability that the sample mean would be greater than 123.5 wpm if 33-speed typists are randomly selected.

We can start by calculating the standard error of the mean, which is the standard deviation of the sample mean distribution. We can use the formula:

\($SE = \frac{\sigma}{\sqrt{n}}$\)

where SE is the standard error of the mean, σ is the population standard deviation, and n is the sample size.

Plugging in the values we have:

\($SE = \frac{15}{\sqrt{33}} \approx 2.60$\)

Next, we can calculate the z-score for a sample mean of 123.5 wpm using the formula:

\($z = \frac{\bar{x} - \mu}{SE}$\)

Plugging in the values we have:

z = (123.5 - 119) / 2.60 ≈ 1.73

Using a standard normal distribution table, we can find the probability that the z-score is greater than 1.73. This probability is approximately 0.0418.

Therefore, the probability that the sample mean would be greater than 123.5 wpm if 33-speed typists are randomly selected is approximately 0.0418 or 4.18% (rounded to four decimal places).

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True

In a symmetrically shaped distribution of scores, regardless of whether it has one mode or two modes, the mean value tends to be similar to the median value.

When a distribution is symmetric, it means that the data is evenly distributed around the central point, resulting in a bell-shaped curve. In such cases, the mean, median, and mode are typically close to each other.

The mean is the arithmetic average of all the scores in a distribution, while the median represents the middle value when the scores are arranged in ascending or descending order. In a symmetric distribution, the mean and median are located at the exact center of the distribution.

If the distribution has only one mode, it means that there is one prominent peak or high point in the data. In this case, the mean and median will coincide with the mode and will be similar.

If the distribution has two modes, it means that there are two prominent peaks in the data, but they are symmetrical around the center. Even though there are multiple modes, the mean and median will still be similar and tend to be located between the two modes.

In summary, in symmetrically shaped distributions, regardless of the presence of one or two modes, the mean and median values are expected to be close to each other.

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Answer:

0.99

Step-by-step explanation:

         00.99

     12 11.88

          − 118

               108

               108

                   0

Answer:

1. g(3) = 1

2. (f + g)(2) = f(2) + g(2) = 2 + 3 = 5

3. f(g(4)) = 2

4. g(f(4)) = 1

5. f(f(4)) = 2

6. g(g(2)) = 1

7. base on the chart, the value 3 of g(x) can be gain only for x = 0

Answer:

3. HGK

4. k=17

Step-by-step explanation:

Answer:

\(y=2x-\frac{3}{4} .\)

Step-by-step explanation:

1) if A(5/8;1/2) and B(3/8;0), then

2) according to the formula

\(\frac{x-X_B}{X_A-X_B} =\frac{y-Y_B}{Y_A-Y_B}\)

4) it is possible to make up the required equation (slope-interception form):

\(\frac{x-\frac{3}{8}}{\frac{5}{8} -\frac{3}{8}} =\frac{y-0}{\frac{1}{2}-0} ;\) \(=> \ y=2x-\frac{3}{4} .\)

Answer:

The answer would be $91.

Step-by-step explanation:

20% off of 120 is 96 and 96 - 5 is 91.

Answer:

$91

Step-by-step explanation:

To find 20% off of  $120 set it up as a fraction.

We are trying to find x.

x/120 = 20/100

Now you are going to cross multiply to get the unchanged/non-simplified version of you soon to be answer.

2400/100x

Simplify that to find how much you need to subtract from $120 when the discount is added.  2400/100 = 24. 120-24 = 96. Then subtract 5 from 96 and that will give you your final answer.

Answer:

1) a. Verticle angles are congruent

3) b. Same-side interior angles are supplementary

5) d. Alternate interior angles are congruent when the lines are parallel

6) c. Substitution

Step-by-step explanation:

1) ∠1 and ∠2 are vertical angles, they're congruent

3) ∠2 and ∠3 are same-side interior angles which are supplementary (add up to 180)

5) ∠3 and ∠4 are alternate interior angles meaning they're congruent

6) idrk how to explain it but its the last one so substitution goes with it :)

Answer:

Volume, \(V=169.56\ \text{units}^3\)

Step-by-step explanation:

We have,

Radius of cylinder is 3 units

Height of the cylinder is 6 units

It is assumed to find the volume of the cylinder. The formula of the volume of cylinder is given by :

\(V=\pi r^2 h \\\\V=3.14\times 3^2 \times 6\\\\V=169.56\ \text{units}^3\)

So, the volume of the cylinder is \(169.56\ \text{units}^3\).

P represents the amount the 12th caller receives if this caller is the first to answer the question correctly.

During a radio contest, $25 is added to the prize money each time a caller answers the contest question incorrectly. The first caller has a chance to win $150.

The equation that represents the amount the 12th caller receives if this caller is the first to answer the question correctly is given by;

P = $150 + ($25 × 11) + P

where P is the prize money for the 12th caller who answers the question correctly.

$25 is added to the prize money each time a caller answers the contest question incorrectly.

And the first caller has a chance to win $150.

To determine the prize money for the 12th caller who answers the question correctly, we add $25 × 11 to $150. Therefore, the equation is P = $150 + ($25 × 11) + P.

Here, P represents the amount the 12th caller receives if this caller is the first to answer the question correctly.

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