Un árbol mide 10m de altura proyecta una sombra de 15m,¿ Cual es la altura de un faro que proyecta una sombra de 30m a la misma hora?

The 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 as calculated from the given data is 5.20 and 7.60.

The confidence interval for the difference of the population mean is calculated as,

CI = ( x1 - x2 ) +- z x √SD1²/n1 + SD2²/n2

= ( 82.9 - 76.5) +- 1.96 x √7.97²/293+ 6.66²/n2.82

=6.4 ± 1.199

=(v5.201 , 7.599)

therefore , approximately 5.20 , 7.60 .

Therefore , the confidence interval between them is found to be as , ( 5.20 , 7.60 ) answer.

The confidence interval is a calculation based on the statistics of the observed data that estimates the amount of uncertainty associated with a sample.

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Answer:

A. The left side continues up, and the right side continues up.

Step-by-step explanation:

f(x) = 6x^4 + 4x^3 - 5x^2 -2x + 1

The highest power will describe the end behavior

f(x) = 6x^4

Let x = -∞

f(-∞) = 6 * (-∞)^4 = 6* ∞ = ∞

As x goes to -∞  f(x) goes to ∞

Let x = ∞

f(∞) = 6 * (∞)^4 = 6* ∞ = ∞

As x goes to ∞  f(x) goes to ∞

On solving the provided question, we got -  0.001 is a stronger significance level,

any of a product's characteristics taken into account in respect to a certain characteristic. especially: a term's constant component as opposed to its variable. a value that represents a quality or attribute by a number (as of a substance, device, or process)

Whenever a variable is multiplied, a coefficient is used. In this case, "z" is a variable, making 6 a coefficient. 6z stands for 6 times z. Coefficient 1 applies to variables without a value.

0.001 is a stronger significance level, It means that the probability of error for the statistic is greater than 5 in 100, therefore the researchers concluded that the research is not statistically significant.

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The type of hypothesis test to be used in this scenario is a one-sample t-test with a two-tailed alternative hypothesis.

The problem is asking to conduct a hypothesis test to determine whether the bag filling machine works correctly at the 433 gram setting.

The hypothesis test would involve a null hypothesis (H0) and an alternative hypothesis (Ha).

The null hypothesis is typically the hypothesis of "no effect" or "no difference" and is denoted as H0. In this case, the null hypothesis would be that the mean weight of potato chips in the bags filled by the machine at the 433 gram setting is equal to 433 grams. Therefore, the null hypothesis would be:

H0: μ = 433

The alternative hypothesis (Ha) is the hypothesis that we want to test, and it is denoted as Ha. In this case, the alternative hypothesis would be that the mean weight of potato chips in the bags filled by the machine at the 433 gram setting is not equal to 433 grams. Therefore, the alternative hypothesis would be:

Ha: μ ≠ 433

To conduct the hypothesis test, we would need to calculate the test statistic and compare it to the critical value. Since the sample size is large (n=301) and the population variance is unknown, we would use a t-test with a level of significance of 0.02.

If the calculated t-value falls outside the critical t-value, we would reject the null hypothesis and conclude that the bag filling machine does not work correctly at the 433 gram setting.

If the calculated t-value falls within the critical t-value, we would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the bag filling machine does not work correctly at the 433 gram setting.

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Based on the given hypotheses and information, a one-tailed test should be used.

The alternative hypothesis (H_A: µ > 91) suggests a directional difference, indicating that we are interested in determining if the population mean (µ) is greater than 91. Since we have a specific direction specified in the alternative hypothesis, a one-tailed test is appropriate.

In hypothesis testing, a one-tailed test is used when the alternative hypothesis specifies a directional difference, such as greater than (>) or less than (<). In this case, the alternative hypothesis (H_A: µ > 91) states that the population mean (µ) is greater than 91.

Therefore, we are only interested in testing if the sample evidence supports this specific direction. The given sample mean (X = 88), standard deviation (s = 12), and sample size (n = 15) provide the necessary information for conducting the hypothesis test.

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Answer: 10dollars per charger

Step-by-step explanation:

16 + 4 = 20

20 divided by 2 = 10

It is claimed that the sample of participants is generalizable since it reflects the characteristics of the population.

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Answer:

16A.) C

16B.) x=6; the students each paid $6 for their concert tickets.

Step-by-step explanation:

[Note: I know that this answer is lengthy, but the explanation is very simple and is worth reading]

16A.)

First, let's "figure out" the amount of money spent by the students. Each student paid $x for a ticket and $4 on parking. That means that the cost for one student would be $x + $4. To figure out how much it would cost 12 students, we can take the amount it costs 1 student and multiply it by 12. Again, since x + 4 is the cost for 1 student, 12( x + 4 ) would be the cost of 12 students. Next, let's figure out how much the adults paid for their tickets.

Now, let's find the cost the adults paid for the ticket. If the students paid $x and the adults paid four times as much for each of their tickets, then the cost of the ticket for the adults must have been $4x. Now, we know each adult paid $4x for a ticket and $6 on parking. That means that the cost for one adult would be $4x + $6. To figure out how much it would cost 4 adult , we can take the amount it costs 1 adult and multiply it by 4. Again, since 4x + 6 is the cost for 1 adult, 4( 4x + 6 ) would be the cost of 4 adults.

Since the 12 students paid 12(x+4) dollars for the concert and the 4 adults paid 4(4x+6) and since we know they spent the same amount of money, we can set 12(x+4) and 4(4x+6) equal to each other. This gives us the answer 12(x+4)=4(4x+6), or C, for question 16A.

16B.)

To solve the equation 12(x+4)=4(4x+6) means to solve for x. So, let's solve for x:

12 ( x + 4 ) = 4 ( 4x + 6 )   [Distribute the 12 on the left side]

12x + 48 = 4 ( 4x + 6 )   [Distribute the 4 on the right side]

12x + 48 = 16x + 24   [Subtract 12x from both sides]

48 = 4x + 24   [Subtract 24 from both sides]

24 = 4x   [Divide both sides by 4 to get the value of x]

6 = x

Now, for the second half of the question, what does x=6 mean? Well, if we look at the previous problem, x was the amount of money spent by the students for the concert ticket. So, the answer x=6 tells us that the students paid $6 for their concert tickets.

[Note: They didn't ask for the price of the adults' tickets, but if they did, we would have plugged in x=6 into the equation 4x to find that the cost of the adults' tickets were $24.]

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Answer:

4

Step-by-step explanation:

i dobt even know

Answer:

62 kg

Step-by-step explanation:

Weight loss equation for sultan :

Y = 70 - 2x

Y = weight in kilogram ; x = number of months

Sultan's weight after 4 months

Put 4 in x in the equation and calculate the value of y

Y = 70 - 2(4)

Y = 70 - 8

Y = 62kg

Weight after 4 months is 62 kg

Answer:  m = 6/7n-1

Step-by-step explanation: to get 7m alone dirst we must subtract 2 from both sides so 2-2 = 0 and -5 - 2= -7 so 7m= 6n-7 and divide both sides by 7 to get m alone so 6n divided by 7 = 6/7n and -7 divided by 7 equals -1 so we're left with m= 6/7n-1

The formula for f(m) in terms of m is:

f(m) = (6m - 7) / 7

To write a formula for f(m) in terms of m, we need to isolate m on one side of the equation.

Given the equation 7m + 2 = 6n - 5, we can start by moving all terms involving m to one side and all terms involving n to the other side:

7m - 6n = -5 - 2

Simplifying:

7m - 6n = -7

Now, we can express m in terms of n:

7m = 6n - 7

Dividing both sides of the equation by 7:

m = (6n - 7) / 7

Thus, the formula for f(m) in terms of m is:

f(m) = (6m - 7) / 7

This formula allows us to calculate the value of f(m) based on the given relationship between m and n. By substituting different values of m into the formula, we can determine the corresponding values of f(m) for those inputs.

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The profit when 150 televisions are sold is 43800

The profit function is given as:

P(x) = 3x^2 - 160x + 300

When 150 televisions are sold, the value of x is

x = 150

Substitute x = 150 in the equation P(x) = 3x^2 - 160x + 300

P(150) = 3(150)^2 - 160(150) + 300

Evaluate the equation

P(150) = 43800

Hence, the profit when 150 televisions are sold is 43800

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The procedure for revising probabilities based on additional information is referred to as Bayesian updating

The procedure for revising probabilities based on additional information is referred to as Bayesian updating. Bayesian updating is a fundamental concept in Bayesian statistics, which allows for the incorporation of new evidence or data to update and refine prior beliefs or probabilities.

In Bayesian updating, the process begins with an initial prior probability, which represents the initial belief or knowledge about an event or hypothesis before any evidence is observed. As new evidence or data becomes available, it is used to update the prior probability and generate a posterior probability. The posterior probability represents the revised belief or probability after incorporating the new information.

Bayesian updating follows the principles of Bayes' theorem, which mathematically describes the relationship between prior probabilities, likelihoods, and posterior probabilities. It involves combining the prior probability with the likelihood of observing the data given the hypothesis and then normalizing the result to obtain the posterior probability.

The beauty of Bayesian updating is that it allows for a flexible and iterative process of continuously updating beliefs and probabilities as new information emerges. It provides a framework for incorporating both subjective prior beliefs and objective data to make more informed decisions and predictions. Bayesian updating has applications in various fields, including machine learning, decision-making, and scientific research.

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To solve this problem, we need to use the formula for permutations, which is nPr = n! / (n - r)!, where n is the total number of objects and r is the number of objects we are choosing. In this case, we are choosing 5 digits from a set of 6 digits (since we can't repeat any digit), so we have:

6P5 = 6! / (6 - 5)! = 6 x 5 x 4 x 3 x 2 = 720

Therefore, there are 720 5-digit numbers that can be formed using only the digits 3, 8, 1, 2, 5, and 7, where no digit is used more than once.
To form a 5-digit number using the digits 3, 8, 1, 2, 5, and 7 without repetition, follow these steps:

1. Choose a digit for the first position: You have 6 options (3, 8, 1, 2, 5, or 7).
2. Choose a digit for the second position: You now have 5 remaining options (since you cannot repeat the digit chosen in step 1).
3. Choose a digit for the third position: You have 4 remaining options (excluding the digits chosen in steps 1 and 2).
4. Choose a digit for the fourth position: You have 3 remaining options (excluding the digits chosen in steps 1, 2, and 3).
5. Choose a digit for the fifth position: You have 2 remaining options (excluding the digits chosen in steps 1, 2, 3, and 4).

Now, multiply the number of options for each position: 6 × 5 × 4 × 3 × 2 = 720

So, there are 720 different 5-digit numbers that can be formed using the digits 3, 8, 1, 2, 5, and 7 without repetition.

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Answer:

w= 0

Step-by-step explanation:

a. 0/11+ 10= 10

0/11= 0

0+ 10= 10

b. 0/11= 0

The equation represents the relationship between their individual work rates and the time taken when they work together is

1/(X - 4) + 1/X = 1/24

Let's assume that it takes the apprentice X hours to build the frame for the garage. According to the information given, the experienced carpenter takes 4 hours less than the apprentice. Therefore, it would take the carpenter (X - 4) hours to build the frame.

When they work together, it takes them 2 full 12-hour days, which is equivalent to 2 * 12 = 24 hours.

To write the equation, we can consider the combined work rate of the apprentice and the carpenter. The combined work rate is the sum of their individual work rates.

The work rate is inversely proportional to the time taken to complete a task. Therefore, the equation can be written as:

1/(X - 4) + 1/X = 1/24

This equation represents the relationship between their individual work rates and the time taken when they work together.

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The complete question is:

An experienced carpenter takes 4 hours less to build the frame for a garage than an apprentice. working together, it takes the carpenter and the apprentice 2 full 12-hour days to build the frame for the garage. Let x be the number of hours it takes for the apprentice to build the frame for the garage. Write the equation needed to solve the problem (don't solve).

The producer of pottery is considering the addition of a new plant to absorb the backlog of demand that currently exists. The primary location being considered will have fixed costs of $5500 per month. The cost of producing a single unit of pottery is expected to be $20, and it is expected that each unit will be sold for $30.

To meet the demand, 1500 units of pottery must be produced every month. Should the producer add the new plant?In order to decide whether or not to add the new plant, the producer must first calculate the breakeven point (BEP). This is the point where the costs of producing the pottery will be equal to the revenue earned from selling it. Any production beyond this point will result in profits for the producer.

Here is how to calculate the breakeven point: BEP = fixed costs ÷ (price per unit - variable costs per unit)BEP = $5500 ÷ ($30 - $20)BEP = 5500 ÷ 10BEP = 550 units per month Now that we know that the breakeven point is 550 units per month, we can determine whether or not the new plant is worthwhile. Since the demand is for 1500 units of pottery per month, the producer will need to produce more than the breakeven point in order to earn a profit. Therefore, the new plant should be added since it will produce 1500 units per month, resulting in a profit of $15,000 per month.

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Answer:

Answer is 0.63 or .63 either way is the same and right!

Step-by-step explanation:

7.56/11(1+ for jamal) =0.63

Your welcome!

In the given 3D space truss, there are two external forces applied: a 2 kN force at a 45° angle and a 4 kN force. To determine the forces acting in the truss members, a structural analysis is required.

To analyze the forces in the truss members, we can start by resolving the applied forces into their x, y, and z components. The 2 kN force at a 45° angle can be resolved into x, y, and z components using trigonometry. Assuming the positive x-axis is to the right, the positive y-axis is upward, and the positive z-axis is outward from the viewer's perspective, the resolved components of the 2 kN force are approximately 1.41 kN in the x-direction, 1.41 kN in the y-direction, and 0 kN in the z-direction.

Next, we can analyze the equilibrium of the truss by considering the force and moment balance at each joint. By applying the principles of statics, we can calculate the internal forces in the truss members. The 4 kN force and the resolved components of the 2 kN force will generate internal forces in the truss members.

To determine whether each member is in tension or compression, we compare the calculated internal forces to the members' orientation. If the internal force is positive, the member is in tension, and if it is negative, the member is in compression. By examining the calculated internal forces in each member, we can identify whether they are in tension or compression.

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Answer:

Angle L= 53 degrees. Side ML = 4.521 and Side NL= 7.513

Step-by-step explanation:

Answer:

I believe that your answer would be 4 miles in 2 hours.

Answer:

the answer in the picture is correct

The bottom width and depth of the trapezoidal channel are 2.25 m and 1.67 m, respectively.

In Windsor area of New South Wales, flood flow needs to be drained from a small locality at a rate of 120 m³/s in uniform flow using an open channel (n=0.018) Given the bottom slope as 0.0013 calculate the dimensions of the best cross section if the shape of the channel is (a) circular of diameter D and (b) trapezoidal of bottom width b.

(a) Circular channel:

For a circular channel, the best hydraulic section can be achieved by using the formula,

Q = (1 / n) x (A / P)2 / 3 x S0.5

where Q is the discharge; A is the area of the flow section; P is the wetted perimeter, S is the slope of the channel; and n is the roughness coefficient of the channel.

Assuming that the channel is flowing at full capacity, the depth of flow can be calculated using the following formula,

Q = (1 / n) x (π / 4) x D2 / 2 x D1 / 2 x S0.5

where D is the diameter of the channel; S is the slope of the channel; and n is the roughness coefficient of the channel.

Solving for D,

D = (8Q / πnD12S0.5)

For the given values of Q, n, and S,

D = (8 × 120 / π × 0.018 × 0.00132 × 120.5)

D = 1.98 m

Therefore, the diameter of the circular channel is 1.98 m.

(b) Trapezoidal channel:

For a trapezoidal channel, the best hydraulic section can be achieved by using the formula,

Q = (1 / n) x (A / P)2 / 3 x S0.5

where Q is the discharge; A is the area of the flow section; P is the wetted perimeter, S is the slope of the channel; and n is the roughness coefficient of the channel.

Assuming that the channel is flowing at full capacity, the depth of flow can be calculated using the following formula,

Q = (1 / n) x ((b + y) / 2) y / ((b / 2)2 + y2)0.5 x ((b / 2)2 + y2)0.5 x S0.5

where b is the bottom width of the channel; y is the depth of flow in the channel; S is the slope of the channel; and n is the roughness coefficient of the channel.

Rewriting the equation,

120 = (1 / 0.018) x ((b + y) / 2) y / ((b / 2)2 + y2)0.5 x ((b / 2)2 + y2)0.5 x (0.0013)0.5

Simplifying the equation,

658.5366 = (b + y) y / ((b / 2)2 + y2)0.5 x ((b / 2)2 + y2)0.5

Squaring both sides,

433407.09 = (b + y)2 y2 / ((b / 2)2 + y2) x ((b / 2)2 + y2)

Multiplying both sides by ((b / 2)2 + y2),

433407.09 ((b / 2)2 + y2) = (b + y)2 y2 x ((b / 2)2 + y2)

Simplifying the equation,

216703.545 = b2 y3 / 4 + b y4 / 2 + y5 / 4

Solving the above equation by using trial and error, the bottom width and depth of the trapezoidal channel are 2.25 m and 1.67 m, respectively.

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The power series represented by the given expression is centered at 7.

The power series given is of the form ∑ [infinity] (−1)n(x − 7)3n (3n)! n = 0. Here, the term (x - 7) indicates that the series is centered at 7. The center of a power series is the point around which the terms are being expanded. In this case, the series is being expanded around x = 7. The power series representation of a function is useful in many areas of mathematics, including calculus and differential equations. Knowing the center of a power series is important because it allows us to use the series to approximate the value of the function at any point in its domain.

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Answer:

\(\sf d = 121.0\)

given:

distance between two points formula:

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

using the formula:

\(\sf d = \sqrt{(95 - 0)^2 + (5-80)^2}\)

\(\sf d = \sqrt{9025 + 5625}\)

\(\sf d = \sqrt{14650}\)

\(\sf d = 5\sqrt{586}\)

\(\sf d = 121.0\)

In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

A normally distributed phenomenon using standard nomenclature can be described as follows:

A dataset is said to be normally distributed if it follows a bell-shaped curve, which is symmetrical around the mean (µ) and characterized by its standard deviation (σ). In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

For example, if we consider the heights of adult males in a large population, we may observe that the distribution is normally distributed with a mean height (µ) of 175 cm and a standard deviation (σ) of 10 cm. In this case, the nomenclature for this normally distributed phenomenon would be N(175, 100), as the variance is \(10^2 = 100\).

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Answer:

3

Step-by-step explanation:

When you multiply .3 by 10, you will end up with the answer of three. There are three more ounces in the jar.