Select the correct answer from each drop-down menu.
Look at this expression, and complete the statements.
3x + 2(x + 2) + 4

The probability that student chosen at random is 16 years is 0.28.

The table shows the distribution of student by age in a high school with 1500 students. Therefore, the probability that randomly chosen student is  16 years can be found as follows:

Therefore,

probability = number of favourable outcome to age / total number of possible outcome

Hence,

probability that student chosen at random is 16 years =  420 / 150

probability that student chosen at random is 16 years = 0.28

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Eulerian path can be implemented in linear time because it follows a specific rule: a connected graph can have an Eulerian path if and only if it has either zero or two vertices of odd degree.

This means that the algorithm can quickly determine whether or not a graph has an Eulerian path by simply counting the number of odd degree vertices. This can be done in linear time, making the implementation of Eulerian path efficient and fast.

On the other hand, Hamiltonian path does not follow a specific rule, and there is no known efficient algorithm to determine whether or not a graph has a Hamiltonian path.

This means that the implementation of Hamiltonian path requires checking all possible paths in the graph, which can take a long time and is not efficient. Therefore, Hamiltonian path cannot be implemented in linear time like Eulerian path can.

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The probability that the first child selected will be a girl is 0.5 or 50%.

The probability of a child being a boy or a girl is equal, as long as the parents are healthy and have no genetic conditions that affect the gender of the child. In general, the chance of having a boy or a girl is about 50-50.

However, it is important to understand that each individual birth is a random event and that the probability of having a boy or a girl is calculated over a large number of births.

This means that even though the overall probability of having a boy or a girl is equal, it is possible to have a run of several boys or several girls in a row.

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Answer:

8

Step-by-step explanation:

If my calculations are correct the third side is 8

Answer:

25°

Step-by-step explanation:

its between 20° and 30°

Answer:

78

Step-by-step explanation:

*6 on both sides

13*6=d/6*6

Answer:

sino me quivoco es 1/53 espero aber ayudado

The length of the curve described by the function t]y = 1 + where, 0 ≤ x ≤ is B. 1.121.

The arc length of a curve defined by the function y = f(x) over the interval [a, b] is given by the following formula:

L = ∫ \(a^{b}\)✓(1 + (f'(x))²) dx

In this case, we have y = 1 + x²/2, so f'(x) = x. Substituting these values into the formula gives us:

L = ∫_0¹ ✓1 + x²) dx

Let u = 1 + x². Then du = 2x dx.

Substituting u for 1 + x² gives us:

L = ∫_1^3 sqrt(u) du / 2

The integral of ✓(u) du / 2 is ln(u) + C. Substituting back u = 1 + x² gives us:

L = 1/2 ln(1 + x²) + C

L = 1/2 ln(1 + 0²) + C = 0 + C = 0

Therefore, the expression for L becomes:

L = 1/2 ln(1 + x²)

Finally, evaluating this expression at x = 1 and x = 0 gives us:

L = 1/2 ln(1 + 1²) - 1/2 ln(1 + 0²)

= 1/2 ln(2) - 1/2 ln(1) = 1/2 ln(2)

= 1.121

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Answer:

it is this one

y=x/2

and

y=x/2

have a great day!!

For the system of inequalities that models the situation, we have that:

The system is given as follows:

The situation for this problem is modeled via a system of inequalities, for which the variables are given as follows:

He wants to buy at least 5 packages, hence:

x + y ≥ 5.

Small packs cost $5, and large packs cost $8. Scott wants to spend at most $50 on the trading cards, hence:

5x + 8y ≤ 50.

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Answer:

  y = x

Step-by-step explanation:

Any equation that describes a different line will be part of a system with exactly one solution. There are an infinite number of possible equations.

Perhaps one of the simplest is ...

  y = x

_____

Together with the given equation, this has the solution ...

  x = y = 1/15

Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators.


Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators. These variables help measure and track progress towards a goal by providing a quantitative or qualitative measure of how far the target is from the desired level of achievement.

Performance metrics can be represented in various forms, such as distance covered, percentage completed, points earned, or even subjective evaluations. For example, in a fitness program, a performance metric could be the number of miles run or the number of push-ups completed.

These metrics enable individuals or organizations to assess their progress and make necessary adjustments to reach their desired outcomes.

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Given, the percentage of high school students who smoke cigarettes is 30.2% and who use alcohol is 39.9%. Also, 15.1% of students use both cigarettes and alcohol. The probability of a randomly chosen high school student who will either smoke cigarettes, use alcohol or both can be found as follows:

Let A denote the event that a high school student smokes cigarettes, and B denote the event that a student uses alcohol. Then we have:

P(A) = 0.302 and

P(B) = 0.399. Also,

P(A ∩ B) = 0.151.As we need to find the probability that a randomly chosen high school student will either smoke cigarettes, use alcohol, or both, we can use the formula:

P(A U B) = P(A) + P(B) - P(A ∩ B)

Where U denotes the union of two sets.

The probability of a randomly chosen high school student who will either smoke cigarettes, use alcohol or both is 0.55 or 55%.Therefore, option b) 55.0% is the correct answer.

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The statement that best analyzes the role this event plays in The Necklace plot is A. It leads to the resolution where Mathilde learns (a little too late) a lesson about the downfall that can come from vanity and greed.

There are both planned and unplanned events, and the start and end times may be noted. Event types include accidents, celebrations, natural disasters, and rallies. The event is the occurrence of the event.

Loisel is well-liked and adored by all. As she walks away, she searches for the pendant and discovers it has gone missing. After days of searching, she and her husband decide to replace it with something similar. It takes her ten decades to pay for the successor, which costs the same as your salary.

In this case, it best analyzes the role this event plays in leading to the resolution where Mathilde learns a lesson about the downfall that can come from vanity and greed The plot of The Necklace.

Therefore, the correct option is A.

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Complete question

Which statement best analyzes the role this event plays in The Necklace plot?

“Oh, my poor Mathilde! Why, my necklace was paste! It was worth at most only five hundred francs!”

It leads to the resolution where Mathilde learns (a little too late) a lesson about the downfall that can come from vanity and greed.

It is the climax of the story since the reader is most excited at this point.

It serves as a complicating incident because Mathilde will have to suffer the consequences of her actions.

It serves as the falling action because it shows that Mathilde will have to get used to her place in life.

Point of concurrency where the giraffe exhibit located is centroid if giraffe exhibit located the same distance from the monkey, elephant and tiger exhibit.

It is given that zoo has a monkey exhibit, an elephant exhibit and a tiger exhibit. There's a giraffe exhibit located the same distance from the monkey, elephant and tiger exhibit so point of concurrency is centroid

As the centroid is the centre point of the object. The point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians. The median is a line that joins the midpoint of a side and the opposite vertex of the triangle.

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Answer:

54°

Step-by-step explanation:

$800 is 360° of a pie chart

$120 is ?° of the pie chart

?° = (360*120)/800 = 54°

*if you need the answer to be in radiants

(54*π) /180 = 0.942478 rad

Step-by-step explanation

The domain of a function is the set of possible input value, the function can take.

The domain is [0,10]

The given parameters are:

\(Flat\ Fee = 15.25\)

\(Rate = 3.45\)

So, the function f(x) is:

\(f(x) = Flat\ Fee + Rate \times x\)

\(f(x) = 15.25 + 3.45 \times x\)

\(f(x) = 15.25 + 3.45x\)

Because x represents the number of orders, the value of x cannot be negative.

The teacher budgets $49.75.

This means that: f(x) = 49.75

So, we have:

\(49.75 = 15.25 + 3.45x\)

Collect like terms

\(49.75 - 15.25 = 3.45x\)

\(34.5 = 3.45x\)

Divide both sides by 3.45

\(10 = x\)

Rewrite as

\(x = 10\)

Hence, the domain is [0,10]

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a)  The demand (price) function in terms of x : P(x) = 12 - 0.025(x - 1500)

b) the marginal revenue function is \(MR(x) = dR(x)/dx = 12 - 0.05(x - 1500)\) The marginal revenue from the sales of 1800 T-shirts is -$3. This means that for each additional T-shirt sold after the 1800th, the revenue will decrease by $3 per T-shirt

To determine the demand (price) function, we need to find a relationship between the price of the T-shirts (P) and the number of T-shirts sold (x). We are given that for every $0.50 decrease in price, 20 more T-shirts will be sold.

Let's first find the decrease in price per T-shirt sold. If 20 more T-shirts are sold for every $0.50 decrease, then the decrease per T-shirt is $0.50/20 = $0.025. Now, we can set up the demand function. The base price is $12, and we decrease it by $0.025 for each additional T-shirt sold. So the demand function is:

P(x) = 12 - 0.025(x - 1500) To determine the marginal revenue function, we first need to find the total revenue function. Total revenue (R) is the product of the price (P) and the number of T-shirts sold (x):

R(x) = P(x) * x = (12 - 0.025(x - 1500)) * x Now we need to find the derivative of the total revenue function with respect to x, which will give us the marginal revenue function: MR(x) = dR(x)/dx = 12 - 0.05(x - 1500)

To determine the marginal revenue from the sales of 1800 T-shirts, we simply plug in x = 1800 into the marginal revenue function: MR(1800) = 12 - 0.05(1800 - 1500) = 12 - 0.05(300) = 12 - 15 = -$3

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Answer:

Step-by-step explanation:

X = 4 , Y = 8

this is because

(5 x 4) - ( 3 x 8) = -4

20 - 24 = -4

___________________________________________________________

so the answer is 4,8

Answer:

( − 2 , 2 )

Step-by-step explanation:

Add 2 x to both sides of the equation.

y = 6 + 2 x 5 x + 3 y = − 4

Replace all occurrences of y with 6 + 2 x in each equation.

Replace all occurrences of y in 5 x + 3 y = − 4 with 6 + 2 x . 5 x + 3 ( 6 + 2 x ) = − 4 y = 6 + 2 x

Simplify the left side.

11 x + 18 = − 4 y = 6 + 2 x

Solve for x in the first equation.

x = − 2 y = 6 + 2 x

Replace all occurrences of x with − 2 in each equation.

y = 2 x = − 2

The solution to the system is the complete set of ordered pairs that are valid solutions. ( − 2 , 2 ) The result can be shown in multiple forms.

Point Form: ( − 2 , 2 )

Equation Form: x = − 2 , y = 2

Reporting on a mission, initiative, or the data obtained from it is known as debriefing. Debriefing can reduce problems associated with the use of deception by a researcher. So option a is correct.

Debriefing is the act of reporting on a mission, project, or the data gleaned from it. After an activity or event, a structured procedure examines the actions performed.

Technically speaking, it refers to a method of active intervention that is specialized and developed into more formal meanings like operational debriefing. It is divided into various categories, including, among others, psychological, military, and experiential debriefing.

The following crucial components are often included in effective debriefings:

1. Active participation that goes beyond merely taking criticism in a passive manner.

2. Developmental aim centred on growth and learning

3. A discussion of particular incidents

4. Information from several sources

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Answer:

9 laps

Step-by-step explanation:

75% of something is the same as three-fourths, or multiplying by 0.75

12 x 0.75 = 9

or you can divide by 4 and then multiply by three if you know what to separate the original number into

12/4 = 3     3 x 3 = 9

Answer:

(-4, 5)

Step-by-step explanation:

Hi there!
We are given the following system:
x+11y=51

3x+5y=13
And we want to solve it by substitution.
When we solve a system by substitution, we want to solve one of the equations for a variable; the variable should equal an expression containing the other variable. Then, we substitute that expression into the other equation as the variable we solve for, solve for that variable, and then use the value of the solve variable to find the value of the first variable

It's easier to solve for a variable if the leading coefficient in front of that variable is 1, like with x in the first equation (x+11y=51)
To solve this equation for x, we can subtract 11y from both sides.

x+11y=51

  -11y   -11y

_____________
x=51-11y
Now substitute 51-11y as x in 3x+5y=13:

3(51-11y)+5y=13

Multiply

153-33y+5y=13

Combine like terms.

153-28y=13

Subtract 153 from both sides

-28y=-140

Divide both sides by 28

y=5
Now substitute 5 as y in 51-11y to solve for x.

x=51-11y

x=51-11(5)
multiply

x=51-55

Subtract

x=-4

The answer is x=-4, y=5, or as a point, (-4, 5)
Hope this helps!

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Polynomial are expressions. The equivalent polynomial of x² + 16x + 48 is (x - 4)(x - 12).

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

In order to find the equivalent polynomial of the given quadratic equation, we will break constant b(16) into two parts such that the sum of the parts is 16, while their product is equal to the product of the constant a(1) and c(48).

Therefore, the solution of the polynomial is,

\(\sf x^2 + 16 + 48\)

\(\sf =(x - 4)(x - 12)\)

Hence, the equivalent polynomial of x² + 16x + 48 is (x - 4)(x - 12).

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Answer:

5x^2-4+4(x^2)-6x

Step-by-step explanation:

first you need to remove the unnecessary parentheses it should look like this: 5x^2-7-(4(x^2)+6x-3)

then you should calculate the sum it should look like this: 5x^2-4+4(x^2)-6x and that is your answer

Answer:

Step-by-step explanation:

y =  3x - 4

x = 0,  y = 3*0 - 4

          y = -4

(0 , -4)

x = 1 ,    y = 3*1 - 4

            y = 3 - 4

            y = -1

(1 , -1)

x = 2  , y = 3*2 - 4

           y = 6 - 4

           y = 2

(2 , 2)

Now mark these points (0 , -4) , (1 , -1) & (2 , 2) in the graph and join the points

We employ a two-tailed test when determining if a sample mean would be either significantly higher and otherwise significantly lower than what the population mean.

A two-tailed test in statistics determines if a sample is more than or less than a specific range of values by using a two-sided critical area of a distribution.

Thus, we employ a two-tailed test when determining if a sample mean would be either significantly higher and otherwise significantly lower than what the population mean.

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Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2 campers chose to play tennis and basketball

Answer:

  33°

Step-by-step explanation:

You want angle M in the congruent triangles XYZ and MNL with angle N marked 124° and angle X marked 33°.

The congruence statement tells you corresponding (and congruent) angle pairs are ...

  X and M (33°)

  Y and N (124°)

  L and Z

The measure of angle M is 33°.

__

Additional comment

The measures of angles L and Z are 180° -124° -33° = 23°.