giải phương trình
tan6x nhân tan7x= -1

Yes, the forester was justified in using a Normal model to analyze the woods, because the histogram is unimodal and symmetric. So option A is correct.

A histogram is a type of graph that uses vertical bars to show the distribution of a set of data. This particular histogram is unimodal, meaning that it has one peak which is an indication that the data is distributed normally. Additionally, the histogram is symmetric, which is another indication that the data is normally distributed.
Using a Normal model to analyze the woods is a valid approach because it allows the forester to identify the average diameter of the trees, as well as the spread of the data. It also allows him to check for any outliers, or points that fall outside the normal range. With this information, the forester can determine if the woods is suitable for sale, or if the buyer should be aware of any unexpected features.
Overall, the histogram is an effective way for the forester to analyze the data and determine if a Normal model is appropriate. By noting the unimodal and symmetric nature of the histogram, the forester can be sure that a Normal model will accurately represent the data, allowing him to make an informed decision about the woods.

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The smallest possible value of the total number of grapes eaten in the contest is the product of (n-1) and the number of grapes eaten by the child in last place, plus the number of grapes eaten by the winner.

We have,

A group of children held a grape-eating contest.

And, when the contest was over, the winner had eaten grapes, and the child in -th place had eaten grapes.

Hence, The smallest possible value of the total number of grapes eaten in the contest is,

(n - 1) (grapes eaten by the child in last place) + (grapes eaten by the winner).

So for example, if the winner had eaten 10 grapes and the child in last place had eaten 5 grapes, the total number of grapes eaten in the contest would be;

(n-1)5 + 10 = 45.

Hence, The smallest possible value of the total number of grapes eaten in the contest is the product of (n-1) and the number of grapes eaten by the child in last place, plus the number of grapes eaten by the winner.

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The probability of the flight being overbooked is 0.38742 or 38.7%.

To calculate the probability of the flight being overbooked, we need to use a probability formula. In this case, we can use the binomial probability formula. The formula is as follows:

\(P(x) = ^nC_x * p^x * q^{(n-x)}\)

Where:

P(x) is the probability of x number of events occurring.

n is the total number of trials.

p is the probability of success.

q is the probability of failure.

nCx is the number of ways to choose x items from a set of n items.

Let's say a plane has 8 seats. The airline sells 10 tickets for this flight. The probability of all ten passengers showing up for the flight is quite low. Based on past experience, the airline knows that only 90% of ticketed passengers usually show up for a flight. This percentage is also known as the "show-up rate."

In our case:

n = 10 (total number of passengers)

p = 0.9 (probability of a passenger showing up)

q = 0.1 (probability of a passenger not showing up)

We want to find the probability of having more than 8 passengers show up, which would mean the flight is overbooked. To do that, we need to calculate the probability of having 9 or 10 passengers show up. We can use the formula to calculate this:

P(9 or 10) = P(9) + P(10)

P(9 or 10) = ¹⁰C₉ x 0.9⁹ x 0.1¹ + ¹⁰C₁₀ x 0.9¹⁰ x 0.1⁰

P(9 or 10) = 0.38742 or 38.7%

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Complete Question:

Airlines usually overbook for a flight (sell more tickets than the numbers of available seats). They do this because they know from past experience that only 90% of ticketed passengers actually show up for the flight.

A plane has 8 seats. If the airline sells 10 tickets for this flight, what is the probability that the flight will be overbooked?

Therefore, analytics is a critical tool for businesses and organizations looking to gain a competitive advantage and improve their operations.

Analytics is often described as the study of historical data to extract insights and make informed decisions. It involves the collection, processing, and analysis of data to discover patterns, identify trends, and gain insights into business operations. By examining data sets, analytics can help businesses identify areas of improvement, optimize performance, and increase efficiency. Analytics tools and techniques can be used across many different fields, including finance, marketing, healthcare, and sports. In finance, analytics can be used to analyze market trends and predict future outcomes. In marketing, analytics can help businesses identify customer behavior patterns and optimize marketing campaigns. In healthcare, analytics can help identify patterns in patient data and improve healthcare outcomes. In sports, analytics can be used to analyze player performance and predict game outcomes.

Therefore, analytics is a critical tool for businesses and organizations looking to gain a competitive advantage and improve their operations.

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Kim was solving a problem using the six steps first she read the problem then she wrote down the facts and figures next she knew she had to find a relation between what’s given and what's asked for.

After that, she formulated a plan or strategy to solve the problem. Then, she carried out the plan and solved the problem. Finally, she checked her answer to see if it made sense and if it was reasonable.

These six steps are often used in problem-solving and are a useful way to approach a problem systematically. By following these steps, one can ensure that all the relevant information is taken into consideration, a plan is developed to solve the problem, and the solution is verified before presenting it as the final answer.

The six steps are:

1. Determining the problem statement.

2. Identifying the main causes of the problem.

3. Developing viable solutions relevant to the problem.

4. Selecting one solution among the options.

5. Applying the solution on the problem at hand.

6. Evaluating the effect of the solution on the problem.

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We will use a combination formula to determine how many ways the prizes could be given out.

In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter. Suppose we have a set of three numbers P, Q and R. Then in how many ways we can select two numbers from each set, is defined by combination.

The combination is defined as “An arrangement of objects where the order in which the objects are selected does not matter.” The combination means “Selection of things”, where the order of things has no importance.

The formulas nCk is popularly known as counting formula.

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Answer:

X = 14

Step-by-step explanation:

30 = 5x + 2

25         60

multiply both sides by 60

1800/25 = 5x + 2

Multiply both sides by 25

1800 = 25 (5x + 2)

1800 = 125x + 50

  -50.            -50

1750 = 125x

divide both sides by 125

14 = x

Answer:

x=14

Step-by-step explanation:

Similar Shapes

Two figures that have the same shape are said to be similar.

If two figures are similar, the ratios of the lengths of their corresponding sides are equal.

We are given two similar shapes and the lengths of two corresponding sides:

25 corresponds to 30

60 corresponds to 5x+2

According to the definition:

\(\displaystyle \frac{5x+2}{60}=\frac{30}{25}\)

Multiplying by 60*25:

\(25(5x+2)=60(30)\)

Operating:

\(125x+50=1800\)

Subtracting 50:

\(125x=1800-50=1750\)

Dividing by 125:

\(x = 1750/125 =14\)

x=14

Answer:

y = -3x - 4

Step-by-step explanation:

15x + 5y = −20

Add -15x to both sides

15x+5y+−15x=−20+−15x

5y = −15x − 20

Divide both sides by 5

\(\frac{5y}{5}\) = \(\frac{-15x - 20}{5}\)

y = -3x - 4

The tangential component of acceleration is zero and the normal component of acceleration is,

⇒ (-8cos(2t))i + (-8sin(2t))j.

Now, The function r(t) represents the position of a moving object at time t. We can see that the object moves in a circular path around the z-axis.

To find the tangential and normal components of acceleration, we need to find the velocity and acceleration vectors first.

Velocity vector v(t) is the first derivative of the position vector r(t):

v(t) = r'(t) = (-4sin(2t))i + (4cos(2t))j

Acceleration vector a(t) is the second derivative of the position vector r(t):

⇒ a(t) = r''(t) = (-8cos(2t))i + (-8sin(2t))j

To find the tangential component of acceleration, we need to project the acceleration vector onto the velocity vector:

a_t = (a(t) · v(t)) / ||v(t)||²

where ||v(t)|| is the magnitude of the velocity vector and · represents the dot product.

So, we have:

||v(t)|| = √((-4sin(2t))² + (4cos(2t))²) = 4

a(t) · v(t) = ((-8cos(2t))i + (-8sin(2t))j) · ((-4sin(2t))i + (4cos(2t))j) = 0

Therefore, the tangential component of acceleration is zero.

To find the normal component of acceleration, we need to find the component of the acceleration vector that is perpendicular to the velocity vector:

a_n = a(t) - a_t = a(t)

Therefore, the normal component of acceleration is,

⇒ a_n = (-8cos(2t))i + (-8sin(2t))j,

which is always perpendicular to the velocity vector and points towards the center of the circular path.

So, the tangential component of acceleration is zero and the normal component of acceleration is,

⇒ (-8cos(2t))i + (-8sin(2t))j.

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Answer:

  12.6 inches

Step-by-step explanation:

You want the increase in each dimension necessary to make a 6" by 10" frame have an area that is 7 times as much.

The area of the original frame is ...

  A = LW

  A = (10 in)(6 in) = 60 in²

If each dimension is increased by x inches, the new area will be ...

  A = (x +10)(x +6) = x² +16x +60 . . . . . square inches

We want this to be 7 times the area of 60 square inches:

  x² +16x +60 = 7(60)

Subtracting 60, we get ...

  x² +16x = 360

Completing the square, we have ...

  x² +16x +64 = 424 . . . . . . . add 64

  (x +8)² = ±2√106 ≈ ±20.6

  x = 12.6 . . . . . . . . subtract 8; use only the positive solution

Each dimension must be increased by 12.6 inches to make the area 7 times as large.

The value of the exponential form (-15)³ is -3375.

The  f(x)= exp (x) or eˣ are used to represent the exponential function in mathematics (where the argument x is written as an exponent).

We know that any exponential form such as (-15)³ can be written as

-15×-15×-15 = -3375

Therefore the solution of the exponential form is -3375 .

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The length of the shorter piece of pipe is 47 inches.

A 235-inch pipe is cut into two pieces.  One piece is four times the length of the other.

The length of the shorter piece can be found as follows:

let the length of the shorter piece be x.

Therefore,

length of the longer piece = 4x

Hence,

4x + x = 235

5x = 235

divide both sides of the equation by 5

5x / 5 = 235 / 5

x = 235 / 5

x = 47

Therefore,

length of the shorter piece = 47 inches.

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a) The connection of the literacy principle to assessments created and used by preceptors and others directly involved in classrooms is fairly straightforward. Less egregious is the connection of the principle to assessments created and assessed by parties outside the classroom. Tradition has allowed and indeed encouraged some assessments to serve responsibility or monitoring purposes without sufficient regard for their impact on pupil literacy.

b) To satisfy the literacy principle, assessment must change in ways consonant with the current changes in tutoring, literacy, and class. In the history, pupil literacy was frequently viewed as a unresistant process whereby scholars flashed back what preceptors told them to flash back . harmonious with this view, assessment was frequently allowed of as the end of literacy. The pupil was assessed on commodity tutored preliminarily to see if he or she flashed back it. also, the mathematics class was seen as a fractured collection of information given meaning by the schoolteacher.

c) The alternate chance gave scholars the occasion not simply to redo the questions on which they were unprofitable in the first stage but, more importantly, to give lesser attention to the essay questions they had little time to address. similar two- stage testing basically formalizes what numerous preceptors of writing do in their courses, giving scholars an occasion to revise their work after the schoolteacher or other scholars have read it and offered suggestions.

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Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Answer: 603 1/4 or 603.25

Step-by-step explanation:

20 x 32 = 640

3 1/2 x 3 1/2 =12.25

12.25 x 3 = 36.75

640 - 36.75  = 603 1/4

Can I get brainliest?

The turning point of the quadratic function g(x) is (-7, 12), which is choice (1).

In mathematics, a graph is a collection of vertices (also known as nodes) and edges that connect those vertices. The edges represent relationships between the vertices. Graphs can be used to model many different types of systems, including social networks, transportation networks, computer networks, and more.

A graph can be represented visually by drawing points or circles to represent the vertices, and lines or curves to represent the edges. The vertices and edges can also be labeled with numbers or other symbols to give them more meaning.

There are many different types of graphs, including directed graphs (also known as digraphs), undirected graphs, weighted graphs, and more. Directed graphs have edges that have a specific direction, while undirected graphs have edges that go both ways. Weighted graphs have edges with weights, which can represent things like distance, cost, or strength.

Graph theory is the branch of mathematics that studies graphs and their properties. It has many applications in computer science, operations research, physics, and other fields.

If the quadratic function f(x) has a turning point at (-3, 7), then the vertex of the parabola is at (-3, 7).

Now consider the quadratic function g(x) = f(x+4) + 5. To find the turning point of g(x), we need to rewrite g(x) in the form of f(x) by making a substitution. Let y = x + 4, then x = y - 4. We can substitute x = y - 4 into the expression for g(x) to get:

g(y-4) = f(y) + 5

So the graph of g(y-4) is the same as the graph of f(y), but shifted 4 units to the left and 5 units up.

The vertex of f(x) is (-3, 7), so the vertex of f(y) is (-3, 7) after making the substitution y = x + 4. Therefore, the vertex of g(y-4) = f(y) + 5 is obtained by shifting the vertex of f(y) 4 units to the left and 5 units up. This gives:

(-3 - 4, 7 + 5) = (-7, 12)

So the turning point of the quadratic function g(x) is (-7, 12), which is choice (1).

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The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

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Answer:

ummm pray and hope youll be fine?

Answer: 3/4

Step-by-step explanation:

Let's start with what we know. We have:

5x - 2x - 2 = 1/4

We multiply everything by 4:

12x - 8 = 1

We add 8 to both sides:

12x = 9

We divide by 12:

x = 9/12

We simplify:

x = 3/4

A subclass refers to a class that can inherit properties of another class called a superclass. The subclass will have all the characteristics and behavior of the superclass, and it can be modified to meet the unique needs of a specific class. Therefore, if a program uses two classes, airplane, and jumbojet, then the most likely subclass is the jumbojet.

Suppose that the airplane is the superclass that will have all the characteristics and behavior of an airplane. On the other hand, the jumbojet will be the subclass that inherits the features of an airplane. As the subclass, the jumbojet can be modified to have additional features unique to it.

The inheritance concept in programming ensures that there is efficient use of code. It makes it easy to reuse code for creating new classes. When using inheritance, developers avoid copying and pasting code, which can lead to errors and repetition.

Suppose that the airplane and jumbojet are classes representing vehicles in a flight system.

Airplane is the superclass representing all the aircraft, while jumbojet is the subclass representing a specific type of airplane, which is a large passenger aircraft. Therefore, the jumbojet, being a specific type of airplane, is the most likely subclass.

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Answer:

a

Step-by-step explanation:

Answer:

A

........................

We need at least 312 households to be sampled in order to estimate the proportion of households with two cars with a margin of error of 5% at a 95% confidence level.

To determine the sample size needed to estimate the proportion of households with two cars with a margin of error of 5% at a 95% confidence level, we can use the following formula:

\(n = (Z^2 \times p \times (1-p)) / E^2\)

Where:

n is the sample size

Z is the Z-score for the desired confidence level (1.96 for 95%)

p is the estimated proportion from the previous study (0.22)

E is the margin of error (0.05)

Plugging in the values, we get:

\(n = (1.96^2 \times 0.22 \times 0.78) / 0.05^2\)

n ≈ 311.96

Confidence level refers to the degree of certainty or reliability that can be placed on the results of a statistical analysis. It is often expressed as a percentage or a probability and is based on the level of uncertainty or variation in the data.For example, a confidence level of 95% means that there is a 5% chance that the null hypothesis is rejected when it is actually true.

Confidence levels are important because they provide a measure of how reliable the statistical results are. A high confidence level indicates that the results are more likely to be accurate, while a low confidence level suggests that there may be a significant amount of uncertainty or variation in the data. When interpreting statistical results, it is important to consider the confidence level along with other factors such as sample size, statistical power, and effect size. This can help to ensure that the results are both statistically significant and practically meaningful.

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Complete Question:-

A researcher wishes to estimate the number of households with two cars. how large a sample isneeded in order to be 95% confident that the sample proportion will not differ from the trueproportion by more than 5%? A previous study indicates that the proportion of households withtwo cars is 22%.

The y-intercept is 20 and, in the situation, it represents the initial pledge plan.

In Mathematics, the y-intercept is sometimes referred to as an initial value or vertical intercept and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).

Based on the information provided, an equation that describes the relationship between the money ($) received and the distance (meters) walked is given by;

M = 20 - 3d

M = 20 - 3(0)

M = 20

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(a) The monopolist's profit-maximizing quantity is 50 units, and the price is $100 per unit.

(b) To achieve the allocatively efficient quantity, the government should set the price at $60 per unit.

(c) Producing the allocatively efficient quantity may not be economically feasible for the monopolist as the price is lower than the average total cost of production.

(d) To have the monopolist earn zero economic profit, the government should set the price at $80 per unit.

(e) The deadweight loss will decrease compared to that of the unregulated monopolist.

(a) The profit-maximizing quantity is where marginal revenue equals marginal cost, which occurs at 50 units, and the corresponding price is $100 per unit. At this quantity, the monopolist's total revenue is $5000, and its total cost is $2500, resulting in a profit of $2500.

(b) To achieve allocative efficiency, the government should set the price at the point where the demand curve intersects the marginal cost curve, which is at 70 units and a price of $60 per unit. At this quantity, the price is equal to the marginal cost, and society maximizes its total surplus.

(c) Producing the allocatively efficient quantity may not be economically feasible for the monopolist because the price of $60 per unit is lower than the average total cost of production, which is $75 per unit. Thus, the monopolist will incur losses if it produces at this quantity.

(d) To regulate the monopolist to earn zero economic profit, the government should set the price at the point where the demand curve intersects the average total cost curve, which is at 80 units and a price of $80 per unit. At this quantity, the price is equal to the average total cost, and the monopolist earns zero economic profit.

(e) The deadweight loss will decrease compared to that of the unregulated monopolist because the allocatively efficient quantity is being produced. However, there may still be some deadweight loss due to the difference between the price and the average total cost.

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Answer:

zerooooooooooooooooooooooooooooooo

Answer:

angle C = 78

angle D = 108

Step-by-step explanation:

the measure of angle A is 102

To find the measure of angle C

let Angle C be x

102 + x = 180 (linear pair)

x = 180 -102

x = 78

angle C = 78

angle B = 78 (vertically opposite angles are equal)

angle D = 108 (vertically opposite angles are equal)

Answer:

1.

\(7x\)

2.

\(x - 5\)

3.

\(x \div 2\)

4.

\(x + 4\)

Hope it helped

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