hey I suck at algebra so some help would be nice HAHA

Surface area of a cuboid

= [2(length)(width)] + [2(width)(height)] + [2(height)(length)]

= {[2(4)(2.5)] + [2(2.5)(2)] + [2(2)(4)]} units²

= (20 + 10 + 16) units²

= 46 units²

Answer:

y = x-2

Step-by-step explanation:

find the slope. 0,-2 and 2,0

0- -2 / 2-0 = 1

y-0 = 1(x-2)

y = x - 2

Answer:

The area of the triangle is six square metres.

Step-by-step explanation:

The area of the triangle is half the area of the rectangle that it fits in.  This one is particularly simple, as it's a right triangle and we're given its width and height, so it's area is:

w × h ÷ 2

= 3 × 4 ÷ 2

= 3 × 2

= 6

Answer: 17  

Step-by-step explanation: because (-2.3, --2.3

Answer:

\(x=-1/2\)

Step-by-step explanation:

\(4 x - 6 = 10 x - 3\)

\(4 x -10x= - 3+6\)

\(-6x=3\)

\(-6x/6=-3/6\)

\(x=-1/2\)

Answer:

\(x = - \frac{1}{2} \)

Step-by-step explanation:

\(4x - 6 = 10x - 3 \\ - 6 + 3 = 10x - 4x \\ - 3 = 6x \\ \frac{ - 3}{6} = \frac{6x}{6} \\ x = - \frac{1}{2} \)

The probability that a household selected at random does not have an individual under the age of 18 in Nassau County in 2000 is 0.999614.

The round-off to the nearest thousands would be 1.000.

To calculate the probability that the selected household did not have an individual under the age of 18, we must determine the number of households without individuals under 18 and divide it by the total number of households in Nassau County in 2000.

We already know that,

The total households = 447,000

The number of households with individuals under 18 = 173

Now,

Number of households without individuals under 18 =

Total households - Households with individuals under 18

Number of households without individuals under 18 = 447,000-173

= 446,827

Probability = Number of households without individuals under 18/Total number of households

Probability = 446,827/447,000

= 0.999614

∴ The probability that the selected household does not have an individual under the age of 18 is 0.999614.

The round-off to the nearest thousand would be 1.000.

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This whole question: There were a total of 447000 households in Nassau County in 200. If one of these households was selected at random, what is the probability that the selected household did not have an individual under age 18? (Express your answer as a decimal rounded to the nearest thousandth)

For x to be a solution, there must be the quantity x in the equation.

All the equations that contain x are :
+) 24 - 2x = 13
+) 4  + 5x = 18
+) 2x - 3 = 15
+) 3x + 2 = 25

We will solve for the value of x for each of the equation :

+) 24 - 2x = 13
-> 2x = 24 - 13 = 11
-> x = 11/2 = 5.5

+) 4 + 5x = 18
-> 5x = 18 - 4 = 14
-> x = 14/5 = 2.8

+) 2x - 3 = 15
-> 2x = 15 + 3 = 18
-> x = 18/2 = 9

+) 3x + 2 = 25
-> 3x = 25 - 2 = 23
-> x = 23/3.

We can see, only the equation 2x-3 = 15 has x=9 as a solution.

Answer:

C

Step-by-step explanation:

Firstly, the triangle we are considering is triangle NOM

Now, the angle we are considering on this triangle is the angle O

mathematically, the sine of an angle is the ratio of the length of the opposite to the length of the hypotenuse of the angle

In this case, the hypotenuse of the angle is the sum of the squares of the two other sides according to Pythagoras’ theorem

Thus, the hypotenuse of the NOM triangle will be;

square root of 3^2 + 4^2 = square root of 25 = 5

The opposite of the angle we are considering is angle M which is 3

So, the sine of the angle we are considering is 3/5

From the given option (1,10), (5,6) and (7,4) are ordered pairs that formed from combining a term in Pattern A with its corresponding term in Pattern B.

In the given question,

Pattern A follows the rule "add 2" and Pattern B follows the rule subtract 2

Pattern A: 1, 3, 5, 7, 9

Pattern B: 10, 8, 6, 4, 2

We have to find which ordered pairs are formed from combining a term in Pattern A with its corresponding term in Pattern B.

From the given question,

Pattern A:  1, 3, 5, 7, 9

Pattern B:  10, 8, 6, 4, 2

As given in the pattern A all numbers are 2 number up from the previous one and in pattern B each number is 2 number down from the previous one.

We have to combine a term in Pattern A with its corresponding term in Pattern B.

We have to combine with corresponding terms that means we combine one term from pattern A and one from pattern B.

Now the term after combining are

1, 10, 3, 8, 5, 6, 7, 4, 9, 2

So the combination of terms that can be formed are

(1, 10), (10,3), (3, 8), (8,5), (5, 6), (6,7), (7, 4), (4,9), (9,2)

Hence, from the given option (1,10), (5,6) and (7,4) are ordered pairs that formed from combining a term in Pattern A with its corresponding term in Pattern B.

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The KwikFix and MongoRama salary distributions are negatively skewed and show a shift in concentration toward the positive (right) side with respect to the middle.

A negatively skewed which is also called a left-skewed distribution is a type of distribution in which more values are concentrated on the right or positive of the distribution graph with the left tail of the distribution graph being longer.

This means that the KwikFix and MongoRama salary distributions has an inequality in the distribution of income, which might result in the underdevelopment.

Thus, the KwikFix and MongoRama salary distributions are negatively skewed and show a shift in concentration toward the positive (right) side with respect to the middle.

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Answer:

No, it is not a function.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given equation:

Convert this to:

As we see each x-coordinate has two y-values referenced, it doesn't pass the vertical line test, this is not a function.

a) The probability histogram of pmf for the number of students who show up for a professor's office hour on a particular day is shown below.

b) The probability that at least two students show up = 0.55 and the probability that more than two students show up = 0.25

c) The probability that between one and three students show up = 0.7

d) The probability that the professor shows up = 0.20

First we write the number of students who show up for a professor's office hour on a particular day and their pmf in tabular form.

x        p(x)

0       0.20

1       0.25

2       0.30

3       0.15

4       0.10

The probability histogram of this data is shown below.

The probability that at least two students show up would be,

P(x ≥ 2) = p(2) + p(3) + p(4)

P(x ≥ 2) = 0.30 + 0.15 + 0.10

P(x ≥ 2) = 0.55

Now the probbability that more than two students show up:

P(x > 2) = p(3) + p(4)

P(x > 2) = 0.15 + 0.10

P(x > 2) = 0.25

The probability that between one and three students show up would be:

P(1 ≤ x ≤ 3) = p(1) + p(2) + p(3)

P(1 ≤ x ≤ 3) = 0.25 + 0.30 + 0.15

P(1 ≤ x ≤ 3) = 0.7

And the probability that the professor shows up would be: p = 0.20

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By following these steps, organizations can work towards bringing the process back under control and making it capable of producing output within the desired specifications.

Under statistical process control (SPC) and process capability analysis, if a process is determined to be out-of-control and not capable, the logical next step would be to first identify and address the sources of variation and special causes of variation in the process.

Here are the steps to follow:

Identify and eliminate special causes: Special causes are factors that cause unpredictable and non-random variation in the process. These causes need to be identified and eliminated or controlled. This may involve investigating specific factors such as equipment malfunction, operator error, or material defects that are leading to the out-of-control condition.

Stabilize the process: Once special causes have been identified and addressed, efforts should be made to stabilize the process. This involves reducing the sources of common cause variation, which are the inherent and predictable variations present in the process. Techniques such as process standardization, operator training, improved equipment maintenance, and standard operating procedures can be implemented to stabilize the process.

Assess process capability: After stabilizing the process, it is important to evaluate its capability to meet the desired specifications or requirements. Process capability analysis helps determine if the process is capable of consistently producing output within the desired tolerance limits. This analysis involves calculating process capability indices such as Cp, Cpk, or Pp, Ppk, and comparing them to the specified limits or customer requirements.

Implement process improvements: If the process is found to be incapable or not meeting the desired capability targets, process improvements need to be implemented. This may involve redesigning process parameters, adjusting equipment settings, improving material quality, or making other modifications to improve process performance and capability.

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Answer:

7 pm is the answer

15±45=60

then 7pm

Answer:

7

Step-by-step explanation:

Answer:

\( \frac{1}{256} \)

Step-by-step explanation:

Your total is 4 and each one is a individual (1)

so the probability of 1 ball would be :

\( \frac{1}{4} \)

because the question asks for the probability they are picked 4 times, we would need to multiply ¼ four times.

\( \frac{1}{4} \times \frac{1}{4} \times \frac{1}{4} \times \frac{1}{4} = \frac{1}{256} \)

Freud is a stage theorist. Sigmund Freud, the renowned Austrian neurologist and psychoanalyst, is widely recognized as one of the pioneers in the field of psychoanalysis.

He proposed a developmental theory that included psychosexual stages of development. According to Freud, human development progresses through distinct stages, each characterized by a specific focus on different erogenous zones. These stages include the oral stage, stage, phallic stage, latency stage, and genital stage. Freud believed that the way individuals navigate these stages influences their personality and psychological well-being in adulthood.

Although Freud's stage theory has been critiqued and modified over time, his ideas regarding the importance of early childhood experiences and unconscious processes have had a profound impact on psychology and continue to shape our understanding of human development.

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Answer

4 is the answer

Step-by-step explanation:

The HCF of 4,8,20 is 4

Answer:

It's 0

Step-by-step explanation:

Ignatius of Loyola, the Spanish priest and theologian who founded the Society of Jesus (Jesuits) in the 16th century, focused on several key issues during the period of the Counter-Reformation.

These issues can be broadly categorized into spiritual, educational, and institutional reforms.

Spiritual Reforms: Ignatius emphasized the importance of personal piety and spiritual discipline. He promoted the practice of spiritual exercises, including meditation, prayer, and self-examination, to cultivate a deep and intimate relationship with God. Ignatius encouraged individuals to reflect on their sins and seek forgiveness through confession and penance.

Educational Reforms: Ignatius recognized the power of education in shaping individuals and society. He established schools and universities to provide a comprehensive education that combined intellectual rigor with spiritual formation. The Jesuits placed great emphasis on academic excellence, encouraging critical thinking, the pursuit of knowledge, and the integration of faith and reason.

Pastoral Reforms: Ignatius focused on improving the quality of pastoral care and religious instruction. He trained his followers to be skilled preachers and spiritual directors, equipping them to guide and support individuals in their spiritual journey. Ignatius also emphasized the importance of catechesis, ensuring that people received proper religious education and understood the teachings of the Catholic Church.

Missionary Work: Ignatius and the Jesuits had a strong missionary zeal. They undertook extensive missionary endeavors, particularly in newly discovered territories during the Age of Exploration. They sought to bring Christianity to non-Christian lands and convert indigenous populations to Catholicism. The Jesuits established missions, schools, and hospitals in various parts of the world, playing a significant role in spreading Catholicism.

Overall, Ignatius of Loyola's reforms aimed to strengthen and revitalize the Catholic Church in response to the challenges posed by the Protestant Reformation. His focus on personal spirituality, education, pastoral care, and missionary work contributed to the renewal and expansion of the Catholic Church during the Counter-Reformation.

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The equation of the function after translation: \($y=\frac{|x|}{4}$\)

The y values advance toward the x-axis as they are multiplied by a value between 0 and 1. This is known as a vertical shrink and tends to flatten the graph.

When a base graph is multiplied by a particular factor larger than 1, vertical stretch happens. As a consequence, the graph is stretched outward while keeping the input values (or x). We anticipate that the y values in a function's graph will be further away from the x-axis when it is vertically extended.

The y-values are multiplied by a value between 0 and 1, which causes them to travel in the direction of the x-axis. This is known as a vertical shrink and tends to flatten the graph. A point (a,b) on the graph of y=f(x) y = f (x) shifts to a point (a,kb) (a, k b) on the graph of y=kf(x) y = k f (x) in both scenarios.

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I Don't know the answer to this maths

The number of paths for a simple random walk from S₀ = 0 to S₁₅ = 5 that hit the line y = 6 is 16C5 - 10C5.

The reflection principle is a method for solving problems of Brownian motion. A Brownian motion is a stochastic process that has numerous applications. The reflection principle is a formula that may be used to determine the probability of the Brownian motion crossing a particular line. It is also employed to compute the probability of the motion returning to the starting point. Furthermore, the reflection principle may be used to determine the number of routes for a random walk that hits a certain line.The number of paths for a simple random walk from S₀ = 0 to S₁₅ = 5 that hit the line y = 6 may be determined using the reflection principle. It is also known as a one-dimensional random walk.

The reflection principle allows us to take any random walk from S₀ = 0 to S₁₅ = 5 and reflect it across the line y = 6, creating a new random walk from S₀ = 0 to S₁₅ = -5. We may calculate the number of paths for this new random walk using the binomial coefficient formula. We must then subtract the number of paths that would never have hit the line y = 6, giving us the number of paths for the original random walk that hits y = 6. Therefore, the number of paths for a simple random walk from S₀ = 0 to S₁₅ = 5 that hit the line y = 6 is 16C5 - 10C5.

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Not the best way to do it, but it should look something like this.

Answer:

600 boys

800 girls

Step-by-step explanation:

Ratio is 3:4

let total number of boys be x

3/4=x/1400-x

4x=3(1400-x)

4x=4200-3x

7x=4200

x=600

600 boys

1400-600 = 800 girls

Option (D) points (7,2) (1,2) are separated by distance of 6 units.

It is the length of the straight line connecting these points in the coordinate plane. This distance can never be negative, therefore we take the absolute value while finding the distance between two given points. The distance formula is an application of the Pythagorean theorem.

For the given situation,

The distance between the two points must be 6 units.

Let the points be (x1,y1) and (x2,y2)

The distance formula is

\(d=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2} }\)

We need to check all the options.

Option A: (x1,y1) = (5,6), (x2,y2) = (4,6)

⇒ \(d=\sqrt{(4-5)^{2} +(6-6)^{2} }\)

⇒ \(d=\sqrt{(-1)^{2} +(0)^{2} }\)

⇒ \(d=\sqrt{1}\)

⇒ \(d=1\)

Distance ≠ 6. So option A is incorrect.

Option B: (x1,y1) = (1,3), (x2,y2) = (6,3)

⇒ \(d=\sqrt{(6-1)^{2} +(3-3)^{2} }\)

⇒ \(d=\sqrt{(5)^{2} +(0)^{2} }\)

⇒ \(d=\sqrt{25}\)

⇒ \(d=5\)

Distance ≠ 6. So option B is incorrect.

Option C: (x1,y1) = (8,1) , (x2,y2) = (1,1)

⇒ \(d=\sqrt{(1-8)^{2} +(1-1)^{2} }\)

⇒ \(d=\sqrt{(-7)^{2} +(0)^{2} }\)

⇒ \(d=\sqrt{49}\)

⇒ \(d=7\)

Distance ≠ 6. So option C is incorrect.

Option D: (x1,y1) = (7,2) , (x2,y2) = (1,2)

⇒ \(d=\sqrt{(1-7)^{2} +(2-2)^{2} }\)

⇒ \(d=\sqrt{(-6)^{2} +(0)^{2} }\)

⇒ \(d=\sqrt{36}\)

⇒ \(d=6\)

Distance = 6. So option D is correct.

Hence we can conclude that option (D) points (7,2) (1,2) are separated by distance of 6 units.

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a)Find all the possible values of k for which the homogeneous system Ax=0 has nontrivial solutions. Then find the nontrivial solutions to the homogeneous system. Justify .

b) Consider the following matrices A and B: \(A=[adgbehcfi],B=[3bc−5a−2a3ef−5d−2d3hi−5g−2g]\)We need to find det(A) if det(B) = 4.We will use the formula for determinants of a 3×3 matrix. We can take the determinant of A by removing the first row or the first column. We choose to remove the first row:\(det(A) = a(ei − fh) − b(di − fg) + c(dh − eg\))By expanding the determinant of B along the first column,

Therefore, \(det(A) = 4 if and only if 2adg − 3efhi − 4degh + 15bcf − 2bch = 0 and f(g − 1) = −15/2.\)For the nontrivial solutions of Ax = 0, we need to solve the system of linear equations Ax = 0, where A is the matrix [a b c; d e f; g h k]. The solutions x ≠ 0 of the homogeneous system Ax = 0 are called nontrivial solutions. The system Ax = 0 has nontrivial solutions if and only if det(A) = 0.

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Answer: The value of x is = 5.

Step-by-step explanation:

So we are given the equation:

3x + 7 = 22​

We just have to isolate 3x and move 7 to the other side:

3x = 22 -7

3x = 15

Now divide:

x = 15/3

x = 5

There you go!

Answer:

5

Step-by-step explanation:

22-7=15 and 15 divided by 3 =5

Answer:

D

Step-by-step explanation:

divide the fraction lol

Answer:

D

Step-by-step explanation:

gchchchxhccydhdjchhxxhxchxxhbddbxbdbhdxh