help plsssssss with calculations ill give brainlist

LU decomposition and Gaussian elimination are both methods used to solve systems of linear equations. However, there are certain scenarios where LU decomposition is preferred over Gaussian elimination.

LU decomposition is useful when you have a system of linear equations that remains unchanged, but you need to solve it for different right-hand sides. Instead of performing the costly and time-consuming Gaussian elimination repeatedly, LU decomposition allows you to factorize the coefficient matrix once and then solve for different right-hand sides efficiently. LU decomposition also helps in solving systems with multiple right-hand sides simultaneously. Once the matrix is factorized into its lower triangular (L) and upper triangular (U) components, you can easily solve for each right-hand side by substituting the values into the lower and upper triangular matrices.

Additionally, LU decomposition can be advantageous when you want to compute the determinant or the inverse of a matrix. The factorized form of the matrix simplifies these computations compared to performing Gaussian elimination. In summary, LU decomposition is preferred over Gaussian elimination when you need to solve a system of linear equations for different right-hand sides, solve systems with multiple right-hand sides simultaneously, or perform computations involving the determinant or inverse of a matrix. It provides computational efficiency and avoids redundant calculations compared to the Gaussian elimination method.

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Answer:

23

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

To estimate the mean EPA combined city and highway mileage, the automaker conducted EPA mileage tests on a random sample of 35 midsize cars. The sample mean is 24, and the population standard deviation is 1.2. The task is to calculate the 70% confidence interval for the population mean.

To calculate the confidence interval, we can use the formula:

Confidence Interval = Sample Mean ± (Critical Value) * (Standard Deviation / √(Sample Size))

First, we need to determine the critical value associated with a 70% confidence level. The critical value can be found using a standard normal distribution or a t-distribution, depending on the sample size and whether the population standard deviation is known.

Since the sample size is relatively large (n = 35), we can use the standard normal distribution. The critical value for a 70% confidence level corresponds to a z-score of ±1.036.

Next, we calculate the margin of error:

Margin of Error = (Critical Value) * (Standard Deviation / √(Sample Size)) = 1.036 * (1.2 / √35) ≈ 0.380

Finally, we can calculate the lower and upper bounds of the confidence interval:

Lower Bound = Sample Mean - Margin of Error = 24 - 0.380 ≈ 23.62

Upper Bound = Sample Mean + Margin of Error = 24 + 0.380 ≈ 24.38

Therefore, the 70% confidence interval for the mean EPA combined city and highway mileage is approximately 23.62 to 24.38.

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Answer: 16x+4

Step-by-step explanation:

perimeter = side + side + side

So in this case:

Perimeter= 3x+2+5x-5+8x+7= 3x+8x+5x+2+7-5 = 11x+5x+9-5 = 16x+4

List of given values (Remember its best to list the values in order from least to greatest as it makes it easier to find the median and mode) :

-13.78,  -3.01, -2.41,  -0.28, 0.66, 0.67, 1.05, 1.39, 2.03, 2.20, 2.64, 4.02

To find the mean or the "average" we simply find the sum of the values and then divide that by the number of given values.

Here, the sum of the values = -13.78 +  -3.01 + -2.41 +  -0.28 + 0.66 + 0.67 + 1.05 + 1.39 + 2.03 + 2.20 + 2.64 + 4.02 = -4.82

There are a total of 12 values

So mean = -4.82 / 12 = -.402 (Rounded to the nearest thousandth.)

So the mean is -.402

Given the list of numbers, if we go to the middle number, you will notice that there are two middles numbers as there are an even amount of numbers. Those two numbers being 0.67 and 1.05. When there are two middle numbers we add them together and divide by 2.

So the median = 0.67 + 1.05 = 1.72 / 2 = 0.86

The median is 0.86

Again the mode is the number that appears most frequently. With the given values, no number appears more than once therefore there is no mode.

The mode is none.

Usually when deciding whether its best to use median, mode or mean to represent the center of data, we look at the given values. There is no mode in this data set, so automatically we can eliminate that option. If there are many outliers, its best to use the median. If there are little to no outliers its best to use the mean mean.

Here, there are quite a few outliers, those being -13.78 and and 4.02. The rest of the values practically fall in between -2 and 2. That being said, the median is probably the best representation of the center of the data.

The null hypothesis and the alternate hypothesis for the set of elementary school children is given by H₀ :  μ₁ = 2 and H₁ : μ₂  ≠ 0 and the p-value is 0.136 .

Given x₁ = 74 , x₂ = 72

s₁ = 9 , s₂ = 11 (standard deviation)

n₁ = 50 ,n₂ = 50

Let μ₁ be the true mean for x₁

Let μ₂ be the true mean for x₂

null and alternate hypothesis:

H₀ :  μ₁ - μ₂  = 0

H₁ : μ₁ - μ₂  ≠ 0

Test statistic ,

Z = (x₁ - x₂ - D₀ ) / (√σˣ₁² /n₁ + √σˣ₂² /n₂ )

Now we will substitute the values to calculate the the test statistic.

D₀ = μ₁ - μ₂

hence Z₀ = (74 - 72) / √(81/80+121/50)

or,  Z₀ = 1.49256..

or,  Z₀ ≈ 1.49

Now we will calculate the p-value using the z-score.

p-value:

= 2P(Z > Z₀)

= 2P(Z>1.49)

= 2 {1-0.93189}

= 0.1362...

≈ 0.136

Hence the p-value is 0.136 .

A hypothesis is presented as a theory to explain a certain phenomenon. A hypothesis cannot be said to as a scientific hypothesis if it cannot be tested using the scientific process.

History-based observations that can't currently be fully explained by existing bodies of knowledge are typically where science starts. A hypothesis is a theory put out to explain an observed occurrence or a proven assertion regarding the relationship between two or more variables in a scientific field.

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Answer:

i think it would be SAS, sorry if I'm wrong!

Step-by-step explanation:

9514 1404 393

Answer:

  SAS

Step-by-step explanation:

The hash marks on the segments of the triangle indicate congruence. The "one hash mark" segments are congruent to each other, and the "two hash marks" segments are congruent to each other. That is, two corresponding sides are marked congruent.

Similarly, the arc on the angle indicates the angle is congruent to one with a similar mark. We notice that the marked angle is between the sides that have hash marks. So, we have, in order around the triangle, congruent Sides, Angles, Sides. The appropriate choice is ...

  SAS

The probability is the measure of the chance that the event will occur as a result of and experiment. Mutually exclusive probability of an event complement of event a relative frequency.

What kind of probability is founded on the observed data?

What three forms of probability are there?

Three main categories of probability exist:

Probability in theory. Scientific Probability. Probability axiomatically.

Probability refers to the possibility that a specific occurrence will occur. Probability is the proportion of the number of likely outcomes to the total number of outcomes of an event.

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To get 8 heads in 16 throws of a fair coin there are 12870n different ways and we get by combination

We have 16 throws, and we want to select 8 of those throws to be heads (assuming a fair coin).

The remaining 16 - 8 = 8 throws will be tails.

The number of ways to choose 8 heads out of 16 throws can be calculated using the binomial coefficient formula:

C(n, k) = n! / (k!(n - k)!)

where C(n, k) represents the number of combinations of n items taken k at a time, and n! denotes the factorial of n.

Applying this formula to our situation, we have:

C(16, 8) = 16! / (8!(16 - 8)!)

Calculating the factorial values:

16! = 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 20922789888000

8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320

(16 - 8)! = 8! = 40320

Substituting these values into the formula:

C(16, 8) = 20922789888000 / (40320 × 40320) = 12870

Therefore, there are 12,870 different ways to get 8 heads in 16 throws of a fair coin.

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The missing words to complete the proof are respectively; Vertical Angles; Corresponding angles; Transitive Property

The image of the transversal line is attached.

1) We know that lines a and b are parallel and that line c is a transversal because that is given.

2) We can tell that angles 2 and 5 are congruent because vertical angles are congruent.

3) Angles 5 and 7 are congruent because corresponding angles by parallel lines cut by a transversal are congruent.

4) Therefore, angles 2 and 7 are congruent based on the transitive property.

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Answer: vertical, corresponding, and transitive property

Step-by-step explanation: I got the correct answer on Edge 2022. The answer is correct trust me! Proof is shown down below.

Answer:

Step-by-step explanation:

Divide the diameter by 2 to find the radius, which is 6.

Now, use he area of the circle formula, which is A = pi r^2

6 squared is 36, so its 36pi

36* 3.14 = 113.04 feet squared.

Answer:

Below

Step-by-step explanation:

4 [x-3] + 2    = y    is not discontinuous anywhere

However    4 / [x-3]  + 2   DOES have a discontinuity at x = 3 because this would cause the denominator to be zero <===NOT allowed !!

Net ionic equation to describe the precipitation reaction:CO(NO3)2 (aq) + 2NaOH (aq) ⟶ 2NaNO3 (aq) + CO(OH)2 (s)The reaction between Cobalt Nitrate [Co(NO3)2] and Sodium Hydroxide [NaOH] is a double displacement reaction.

The products formed in this reaction are Sodium Nitrate (NaNO3) and Cobalt Hydroxide [Co(OH)2].The Net Ionic Equation for the above reaction can be defined as the sum of the chemical equation's ionic species, minus the spectator ions' ions that do not participate in the reaction.The net ionic equation is derived by writing the balanced molecular equation, which represents the full ionic equation by showing only the species that are directly involved in the chemical reaction.The molecular equation for the given reaction is:CO(NO3)2(aq) + 2NaOH(aq) ⟶ 2NaNO3(aq) + CO(OH)2(s)The balanced ionic equation can be written by representing the strong electrolytes as ions:Co2+(aq) + 2NO3-(aq) + 2Na+(aq) + 2OH-(aq) ⟶ 2Na+(aq) + 2NO3-(aq) + Co(OH)2(s)The net ionic equation is obtained by eliminating the spectator ions:Co2+(aq) + 2OH-(aq) ⟶ Co(OH)2(s) Therefore, the net ionic equation for the given reaction is Co2+(aq) + 2OH-(aq) ⟶ Co(OH)2(s).

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The correct net ionic equation from the image that we have is shown  by option A

A net ionic equation is a chemical equation that excludes spectator ions and only displays the species that are actually involved in a chemical reaction. Ions that are present in a reaction mixture but do not take part in the actual chemical reaction are known as spectator ions.

The only ions involved in the precipitate's production, are the subject of the net ionic equation. Without including the spectator ions, it depicts the primary chemical change that takes place during the reaction.

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Answer: The antiderivative of the cosine function is the sine function, and the antiderivative of the sine function is the negative cosine function, with an arbitrary constant of integration added in each case.

In symbols:

∫ cos(x) dx = sin(x) + C

∫ sin(x) dx = -cos(x) + C

Here, C represents an arbitrary constant of integration, which is added to the antiderivative since the derivative of a constant is zero. These antiderivatives can be used to evaluate definite integrals involving the sine and cosine functions, and they are also important in calculus and physics, where they appear in many applications.

Step-by-step explanation:

Step-by-step explanation:

you mean it is 6° less, right ?

supplement means together they have 180°.

complement means together they have 90°.

x is our angle.

180 - x is the supplement angle.

90 - x is the complement angle.

180 - x = 90 - x - 6

90 = -6

you see, that is not possible.

the difference between the supplementary angle and the complementary angle is always 90°.

e.g.

x = 30°

supplement = 180-30 = 150°

complement = 90-30 = 60°

the difference is : 150 - 60 = 90°

x = 80°

supplement = 180 - 80 = 100°

complement = 90-80 = 10°

the difference is : 100 - 10 = 90°

and so on.

so, again, there is no angle that satisfies that criteria.

either you made a mistake in the problem description, or your teacher tried to be tricky.

remember, as x has also a complementary angle, it must be smaller than 90°.

so, the supplementary angle of x must be larger than 90°, and therefore larger than the complementary angle.

there is no angle, for which the supplementary angle is smaller than the complementary angle.

When you flip two coins 28 times, the best prediction possible for the number of times both coins will land on heads is 7 times.

This can be explained with the following calculations:

When flipping a coin, the chance of getting heads or tails is 1/2 or 0.5.

If you flip two coins, the probability of getting two heads is calculated by multiplying the probability of getting heads on the first coin by the probability of getting heads on the second coin, which is (1/2) x (1/2) = 1/4 or 0.25 or 25%.

To calculate the expected number of times both coins will land on heads in 28 flips, we use the following formula:

Expected value = Probability x Total number of flips

Expected value = 0.25 x 28

Expected value = 7

Therefore, the best prediction possible for the number of times both coins will land on heads is 7 times.

It's important to note that this is only a prediction, and the actual number of times both coins land on heads could be more or less than 7.

This is because probabilities are based on chance, and chance outcomes can be unpredictable.

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In the following question, among the given options, The sum of the proportions for all categories of a variable will be (C.) "1.00."

What is proportion? Proportions are usually represented as a decimal numbers between 0 and 1. They can also be represented as a percentage between 0 and 100. Proportions show the relationship between a particular number and a whole group. The total sum of proportions will always be equal to 1.00, which represents the entire group or population. So the answer to the given question is c. 1.00.

ExplanationThe sum of the proportions for all categories of a variable will be 1.00 because of the following: Proportions of a categorical variable are used to analyze data in statistics. A proportion is a fraction of a whole group that represents a part of that group. Proportions are usually represented as a decimal numbers between 0 and 1. They can also be represented as a percentage between 0 and 100. The sum of the proportions for all categories of a variable will be 1.00 representing the whole group or population, which is equal to 100%. This is the same as saying that the proportions for all categories of a variable should add up to 100%.

Therefore, the correct answer to the question is c. 1.00.

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Answer:

???

Step-by-step explanation:

Using the combination formula, and considering that the list has 6 ingredients, it is found that 20 groups of 3 different ingredients can go on a taco.

The order in which the ingredients are chosen is not important, hence, the combination formula is used to solve this question.

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this problem, 3 ingredients are chosen from a set of 6, hence:

\(C_{6,3} = \frac{6!}{3!3!} = 20\)

20 groups of 3 different ingredients can go on a taco.

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a) Contribution (objective value) = $132.14

b) The firm earns $132.14 at the optimal solution.

c) An additional hour of time available for the third machine is worth $0.14 to the firm.

d) An additional 5 hours of time available for the second machine will increase the objective value by $3.69.

The best result obtained from using computer software to solve the LP problem is: X1 = 11.43, X2 = 12.86, X3 = 5.71

b) The number of unused hours at the ideal solution is:

Machine 1 still has 8.57 hours of time left.

There are no hours left on Machine 2 at the moment.

There are still 94.29 hours left on Machine 3.

c) The shadow price of the third limitation is worth an extra hour of time available for the third machine. With the exception of increasing the right-hand side of the third constraint by one unit, we can solve the LP problem using the same constraints to determine the shadow price. Using LP to solve this issue, we discover that the shadow price for the third constraint is

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the series 1/(n∛(n)) is divergent.

To determine the convergence or divergence of the series, let's examine the terms of the series and apply the comparison test.

The series in question is:

1/(n∛(n))

We can compare it to the harmonic series, which is known to be divergent:

1/n

Let's compare the terms of the given series to the terms of the harmonic series:

1/(n∛(n)) < 1/n

Since 1/n is a divergent series, and the terms of the given series are smaller than the corresponding terms of the harmonic series, we can conclude that the given series is also divergent.

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Answer:

Step-by-step explanation:

The image of triangle ABC with coordinates A'(-2, -3) , B' (1, -7) and C' (-4,-5) is shown in attached graph.

What is Translation?

Vertically translation in a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated h units vertically by moving each point on the graph h units vertically.

Given that;

Coordinates of a triangle ABC are;

A (4 , 4 ) , B (7 , 0) and C (2 , 2)

The rule of translation is,

(x, y) → (x - 6, y - 7)

Now, Apply the rule of translation in coordinates of triangle ABC,

A (4 , 4 ) = (4 - 6, 4 - 7) = (-2, -3)

Hence, A' = (-2, -3)

B (7 , 0) = (7 - 6, 0 - 7) = (1, -7)

Hence, B' = (1, -7)

C (2, 2) = (2 - 6, 2 - 7) = ( -4, -5)

Hence, C' = (-4, -5)

Thus, The coordinates of image A'B'C' are;

A'(-2, -3) , B' (1, -7) and C' (-4,-5)

So, The image of triangle ABC with coordinates A'(-2, -3) , B' (1, -7) and C' (-4,-5) is shown in attached graph.

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Answer:

Option (C)

Step-by-step explanation:

Students having phone plans with texting = Students with plan of voice and texting + Students with plan of voice, texting and data

= 12 + 4

= 16

Total number of students with different plans = 20 + 14 + 12 + 4

                                                                            = 50

Percentage of students using phone plans with texting

= \(\frac{\text{Students using plans with texting}}{\text{Total number of students surveyed}}\times 100\)

= \(\frac{16}{50}\times 100\)

= 32%

Therefore, Option (C) will be the answer.

Answer:

16% To get the answer all you have to do is add.

The least possible value for the mode is D=11

Let M be the median

According to the question, the two largest integers are M+2

Let a and b be the two smallest integers such that a<b

Accordingly, the sorted list can be concluded as a,b, M, M+2, M+2

Since the median is 2 greater than their arithmetic mean, we have,

{a+b+M+(M+2)+(M+2)/5 }+2 =M

OR, a+b+14=2M

Note that a+b must be even.

We minimize this sum so that the arithmetic mean, the median, and the unique mode is minimized.

Let a=1 and b=3

from which M=9 and

M+2=11

Therefore, The least possible value for the mode is D=11

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Answer:

D: \(x=-9\)

Step-by-step explanation:

\(3(x + 1) - 2x = -6\)

\(3x+3-2x=-6\)

     \(-3\)            \(-3\)

\(3x-2x=-9\)

\(1x=-9\)

\(/1\)      \(/1\)

\(x=-9\)

Hope this helps!

A unit of measurement which is equal to one thousands meters is known as one kilometers.

Therefore, the given units of measurement equal to one thousand meters is called one - kilometers.

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Answer:

6 dollars per hour

Step-by-step explanation:

We can set up and solve an equation to answer this question. For this problem, let x stand for the amount he earned per hour. The equation that represents this situation is 3.2x + 4.3x = 45. The first term represents monday and the second represents tuesday. When these add up they should equal 45 because that is the total amount he made. To find his pay per hour, solve for x.

First, combine the like terms

Next, divide both sides by 7.5

The correct answer would be an option (D) Associative Property of Addition.

The associative property of addition is a rule which states that when adding three or more numbers, we can arrange them in any configuration, and the resultant sum is unaffected by how they are arranged.

(a + b) + c = a + (b + c)

Given Line 1 and Line 2 are shown below.

Line 1 as :

⇒ (3 + 9) + 5

Line 2 as :

⇒ 3 + (9 + 5)

According to Associative Property of Addition,

Line 1 as :

(3 + 9) +5 equals 12 + 5 which equals 17

Line 2 as :

3 + (9 + 5) equals 3 + 14 which equals 17

The correct answer would be an option (D) Associative Property of Addition.

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1. Solve s in the second equation:

2. Substitute the s in the first equation by the value you get in the previous step:

3. Solve t:

4. Use the value of t to solve s: