5. El lado canadiense de las Cataratas del Niagara tiene un caudal de 600,000 litros por segundo. ¿Cuántos
galones de agua fluyen por las cataratas en 1 minuto?

Answer:

a) 10

Step-by-step explanation:

Given information,

→ [3(x + 4)(x + 1)]/[(x + 2)(x - 2)]

→ x = 4

Let's evaluate the expression,

→ [3(x + 4)(x + 1)]/[(x + 2)(x - 2)]

→ [3(4 + 4)(4 + 1)]/[(4 + 2)(4 - 2)]

→ [(3 × 8)(5)]/(6 × 2)

→ (24 × 5)/12

→ 120/12 = 10

Therefore, the answer is 10.

The ratio of yes votes to no votes is 4 to 7, which can be simplified to 2 to 7/2 or 2:3.5. This means that for every 3.5 no votes, there are 2 yes votes. Since there were 3794 no votes, there were 3794/3.5 = <<3794/3.5=1082>>1082 sets of yes and no votes.

The total number of votes is therefore 21082 + 3794 = <<21082+3794=6858>>6858 votes.

Answer:

  0.8 mm

Step-by-step explanation:

You want a diameter that is half one that is 1.6 mm.

Half of 1.6 mm is ...

  0.5 × 1.6 = 0.8 . . . . mm

The cell diameter is 0.8 mm.

Answer:

Statements:

- When (1, 2) is substituted into the second equation, the equation is true

- The ordered pain (1, 2) is a solution to the system of linear equations

- When (1, 2) is substituted into the first equation, the equation is true.

Step-by-step explanation:

Statement 1:

y= 7/2x - 3/2

2= 7/2 * 1 - 3/2

2= 7/2 -3/2

2=4/2

2=2

Statement 2:

y= -2x + 4

2= -2 ( 1 ) + 4

2= -2 + 4

2 = 2

Statement 6:

y= 7/2x - 3/2

2= 7/2 * 1 - 3/2

2= 7/2 -3/2

2=4/2

2=2

y= -2x + 4

2= -2 ( 1 ) + 4

2= -2 + 4

2 = 2

Answer: 17/5

Step-by-step explanation:

Assuming your question asked to convert 3 + 2/5 to a whole fraction:

1. change the whole number to a fraction with the denominator of the remainder (2/5)

3*5/5 = 15/5

2. Add the numberators

15/5 + 2/5 = 17/5

3. circle your answer and celebrate

Answer:

point form (-3, -1)

equation form x=-3, y=-1

Step-by-step explanation:

Answer:

A. Yes, but only within the domain x ≥ 0

Step-by-s+tep explanation:

What you need to know to solve the question:

1. To find an inverse function (f⁻¹(x)) of f(x), rearrange the equation in terms of f(x), in other words, it should be in the form of x = ...

2. Rules of rearranging equations

3. The domain of √x is: x ≥ 0, since you cannot find the square root of a negative number (i.e. < 0)

Find the inverse function of F(x):

According to principles 1 and 2:

F(x) = √x - 6

F(x) + 6 = √x

(F(x) + 6)² = x

x = (F(x) + 6)²

So, the inverse function is:

F⁻¹(x) = (x + 6)²

And since:

G(x) = (x + 6)²

G(x) = F⁻¹(x)

Therefore, the answer is, also in light of principle 3:

A. Yes, but only within the domain x ≥ 0

the probability that a random sample of 277 individuals will result in a sample mean waist size of at least 86.3 cm is 0.9982.(c)The probability that a random sample of 277 individuals will result in a sample mean waist size of at least 86.3 cm is 0.9817.

To answer (b), we first need to calculate the z-score for 86.3 cm using the population mean of 85 cm and standard deviation of 14 cm. This gives us a z-score of 0.7. We can then use the normal distribution table to calculate the probability of a sample mean of at least 86.3 cm with a z-score of 0.7, which is 0.9982. To answer (c), we need to calculate the z-score for 86.3 cm using the population mean of 80 cm and standard deviation of 14 cm. This gives us a z-score of 1.5. We can then use the normal distribution table to calculate the probability of a sample mean of at least 86.3 cm with a z-score of 1.5, which is 0.9817.

Part (b):

Z-score = (86.3 - 85) / 14

= 0.7

Probability = 0.9982

Part (c):

Z-score = (86.3 - 80) / 14

= 1.5

Probability = 0.9817

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Answer:

[tex] \frac{5}{2} [/tex]

Step-by-step explanation:

5 up, 2 right

The height needed to reach the desired volume is 5 feet

From the question, we have the following parameters that can be used in our computation:

Length = 8 feet

Volume = 240 cubic feet

Width = 6 feet

The height is calculated as

Height = Volume/(Length x Width)

Substitute the known values in the above equation, so, we have the following representation

Height = 240/(8 x 6)

Evaluate

Height = 5

Here, we have

Length = 28 cm

Volume = 6142.5 cubic cm

Height = 16.25 cm

The width is calculated as

Width = Volume/(Length x Height)

Substitute the known values in the above equation, so, we have the following representation

Width = 6142.5/(28 x 16.25)

Evaluate

Width = 13.5

Here, we have

Volume = 26214 cubic m

Height = 17 cm

The base area is calculated as

Base area = Volume/Height

Substitute the known values in the above equation, so, we have the following representation

Base area = 26214/17

Evaluate

Base area = 1542

Hence, the base area is 1542 square m

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The difference of the mean and the median for the new data set is 0.28 and 0.50 respectively.

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Median represents the middle value of the given data when arranged in a particular order.

We are given that 1st Data set: 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 8

mean: 3.5

median: 3

Now 2nd Data set: 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 7, 8

mean: 3.78

median: 3.5

Therefore, we need to calculate the differences  If the writer writes for two more days and creates 5 and 7 comic strips,

The difference in mean:

3.78 - 3.5 = 0.28

The difference in median:

3.5 - 3 = 0.50

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The data in the distribution is positively skewed (skewed to the right). If the writer writes for two more days and creates 5 and 7 comic strips, respectively, the difference between the mean and the median for the new data set is 0.28.

(✿◕‿◕✿)

Step-by-step explanation:

32 / 2 using long division

A. the 1500 randomly selected voters receiving the questionnaire.

What is survey?

A survey is a technique for acquiring data from a sample of individuals by asking pertinent questions with the goal of comprehending populations as a whole. Everyone involved in the information economy, from corporations to the media to the government and academia, relies on surveys as a vital source of information and insights.

A political party sends a mail survey to 1500 randomly selected registered voters in a community. The survey asks respondents to give an opinion about the job performance of the current President. Of the 1500 surveys sent out, 480 are returned, and of these, only 120 say they're satisfied with the President's job performance.

The sample remains the total people to whom the survey is sent

The sample is the 1500 randomly selected voters receiving the questionnaire.

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Answer:

The standard deviation is a measure of how much the values of a random variable tend to vary from the mean of the variable. In this case, the standard deviation of the random variable W is 3.5, which means that the values of W typically vary from the mean of 4 by about 3.5 attempted experiments. Therefore, the best interpretation of the standard deviation, in this case, is that values of W typically vary from 4 by about 3.5 attempted experiments, on average.

Answer:

28.42

Step-by-step explanation:

pretty sure its correct

Artificial selection takes a comparatively longer time to occur while natural selection takes a comparatively shorter time to occur.

Thus, the given statement is False.

Artificial selection takes a very short time related to natural selection. The time taken to choose the individual having the required character and then making them produce the offspring is the only time needed for the entire process.

Artificial selection can be demonstrated as the series of steps for selecting the required character and making the individuals having those character to produce the offspring having the desired character.

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Answer:

B: 14 Units

Step-by-step explanation:

We have the same homework and that's what I got.

Answer:

Graph attached below

Step-by-step explanation:

Answer:

In this problem, the temperature of the hot liquid (T) is being modeled as a function of the number of minutes (n) that it has been in the refrigerator. The model is a linear function, which means that the temperature will change at a constant rate as the number of minutes increases.

The parameter -8 represents the rate at which the temperature is changing. Specifically, it represents the amount by which the temperature decreases in degrees Fahrenheit for every one minute that passes. For example, if the hot liquid has been in the refrigerator for 10 minutes, its temperature will have decreased by (-8 * 10) = -80 degrees Fahrenheit.

The parameter 175 represents the initial temperature of the hot liquid when it was first placed in the refrigerator. This is the temperature at n = 0, or when no time has passed.

So in the context of this problem, the parameters -8 and 175 represent the rate at which the temperature changes and the initial temperature of the hot liquid, respectively.

Answer:

9.3 × 10^7

Step-by-step explanation:

93000000 / 10000000 = 9.3

10000000 = 10^7

So scientific notation of 93000000 = 9.3 × 10^7

Using the formula X=μ+Zσ, the baby kitten's weight corresponds to the z-scores Z=1.98 and Z=2.87 are 16.656 and 18.614.

In a normal distribution, data points are referred to as x, whereas in a z distribution, they are referred to as z or z scores. A z score is a standard score that indicates how many standard deviations an individual statistic is from the mean (x). The formula used to calculate this z-score is Z= (X-μ)/σ where x is the raw score, σ is the population standard deviation, and μ is the population means. From this formula, X can be calculated as X=μ+Zσ.

For the first z-score, Z = 1.98, σ = 2.2 and μ = 12.3, then

X = 12.3+1.98(2.2) = 16.656

For the second z-score, Z = 2.87, σ = 2.2 and μ = 12.3, then

X = 12.3+2.87(2.2) = 18.614

The answers are 16.656 and 18.614.

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A: The probability of no mishandled handbags is 0.2328

B: The probabilty of at least one mishandled bags is 0.7672.

C: The probability of at least two mishandled bags is 0.197.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Probability of mishandling is 205/1000 = 0.205

Probability of not mishandling is 795/1000 = 0.795

A:  Probability of no mishandled bags is [tex](0.795)^{1000}[/tex] = 0.2328

B: Probability of at least one mishandled bags is = 1 - p(no mishandled)

= 1- 0.2328 = 0.7672

C: Probability of at least 2 mishandled bags is = 1 - p(none mishandled)-p(1 mishandled)

p(1 mishandled) = 100c1 ×[tex]p^{1}[/tex]×[tex]p^{999}[/tex] =  0.5986

∴p(atleast two mishandled) = 0.795 - 0.5986 = 0.197.

A: The probability of no mishandled handbags is 0.2328

B: The probabilty of at least one mishandled bags is 0.7672.

C: The probability of at least two mishandled bags is 0.197.

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The value of x that will make the two given solids similar is: d. x = 31.

If two solids are said to be similar to each other, it means that one is a scale copy of the other, and one is enlarged by a scale factor to get the dimension of the other.

Thus, the corresponding linear dimensions of two similar solids are proportional or they have equal ratio.

Based on this definition, the equation below would be created to find the value of x that would make both solids similar to each other.

29/14.5 = x/15.5

Cross multiply:

14.5x = (15.5)(29)

14.5x = 449.5

14.5x/14.5 = 449.5/14.5

x = 31.

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The value of x is $53.34 dollars but no higher than $115 and for y is as low as $160, but no higher than $345.

According to the question,

Diane will donate "up to $460" in charity, which means it can be less than or equal to 460, but not any higher. Then,

$460 to charity (max)

$160 + to Educational (160 being the minimum)

It is also given , Education is 3x (or higher) than City.

If we denote x to City, and y to Educational, then,

x + y = 460 . And we know that y ≥ 3x

x + 3x = 4x = 460

x = 115.

This means when she donates $115 to City, she will donate 3x (or $345) to Educational. These are the max value

She will not donate higher than $460.

A minimum requirement was placed on Educational earlier.

When y = 160,

x will be y/3,

=> x = 160/3 =  $53.34. This means she donated 213.34, which is still less than $460

Therefore, x (which is City) can be the range of $53.34 dollars but no higher than $115.

y (which is Educational) will be as low as $160, but no higher than $345.

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a Markov chain is the probability defined by the below transition matrix. [ 1/3 2/3 1/5 4/5] has the steady state C. (10/13 3/13]

The steady state of a Markov chain is the probability distribution of possible states of the system. In this case, the steady state from the transition matrix ( Matrix can also be used to represent relationships between different variables.It is commonly used in mathematics, science and engineering to represent a variety of data. ) can be found by solving the system of equations:

P(X0) = P(X0) * 1/3 + P(X1) * 2/3

P(X1) = P(X0) * 1/5 + P(X1) * 4/5

Solving this system of equations yields the steady state of (10/13, 3/13).

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Answer:

Its slope-intercept form

Step-by-step explanation:

The "Y" is the output the "M" is the slope, the "X" is the unknown input and the "B" equals the Y-intercept

TRUE, There were three rounds of QE: $600 billion in QE1 in early 2009, QE2 in November 2010 that was $600 billion worth of securities purchases, and QE3 that started in September 2012

Exports =  $300 billion

Imports =  $500 billion

Trade surplus/(deficit) =  $300 billion - $500 billion

                                   = ($200 billion)

Considering all the options,

Purchases = $800 billion

Sales = $600 billion

Trade surplus/(deficit) = $600 billion - $800 billion

                                   =  ($200 billion)

Hence the right answer is c. The U.S has a trade deficit. The U.S. purchases $800 billion worth of foreign assets and foreign countries purchase $600 billion worth of U.S. assets.

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m and n are integers such that mn is even, but m and n are both odd. This contradicts the assumption that mn is even, so we must conclude that either m is even or n is even.

Proof:

Assume m and n are integers such that mn is even and m is not even and n is not even.

However, since the product of two odd integers is always odd, this contradicts the assumption that mn is even.

Therefore, it must be true that m is even or n is even.

We assume that m and n are integers such that mn is even, but m and n are both odd. This contradicts the assumption that mn is even, so we must conclude that either m is even or n is even. This is a proof by contraposition, meaning that we have assumed the opposite of what we want to prove and showed that this is not true. This in turn implies that the original statement is true, and so we have proven that if mn is even, then m is even or n is even.

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y = 3x + 5 is a linear relationship with a slope of 3.

A straight line is formed on the graph by the equation y=2x+1, which is a linear equation. The value of y eventually rises by twice the value of x + 1. This happens when the value of x grows.

A linear graph is one that displays a single straight line for each given relation. A straight line is what the word "linear" denotes. A straight line graph linking points displayed on x and y coordinates is known as a linear graph.

A linear non - proportional relationship could be written with as a slope - intercept with a non - zero intercept value. One such relationship with a slope of 3 can be expressed thus :

y = 3x + 5

Here, the linear relationship, has a slope value of 3 and an intercept value of 5. The function cannot be proportional due to the presence of a non-zero constant

Hence, Using a graphing calculator, the sketch of the linear relationship is attached.

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