sixty-seven AND ninety-four THOUSANDTHS in standard form.

The first cylinder, weighing 2.5 pounds and running at a rate of 6 liters per minute, would last approximately 143.3 minutes.

To calculate the duration, we use the formula: Duration = (Weight of cylinder * Conversion factor) / Flow rate. Here, the conversion factor is 866 (which converts pounds to liters). Plugging in the values, we get (2.5 * 866) / 6 = 143.3 minutes.

Similarly, for the second cylinder weighing 3.5 pounds and running at 7 liters per minute, the estimated duration would be approximately 179.2 minutes. For the third cylinder weighing 7.5 pounds and running at 13 liters per minute, the estimated duration would be approximately 144.2 minutes. Finally, for the fourth cylinder weighing 6.5 pounds and running at 12 liters per minute, the estimated duration would be approximately 169.8 minutes.

By applying the formula and considering the weight of the cylinder and the flow rate, we can calculate an approximate duration for each scenario.

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Answer:

3

Step-by-step explanation:

Answer:

I don't understand the question dear

It saves time, doesn't need to be changed if a row or column is added to the range, and adjusts the range when the function is copied to another cell.

Based on the values in another column, we'll discover how to add up a column of numerical data. We are attempting, for instance, to assess product sales based on the typical customer rating. Thus, each of our products has an average rating of 9.8, 7.2, 6.1, and so on because customers score our products on a scale of 1 to 10. The sales totals for goods with ratings of 9 to 10, 7 to 8, and so forth should be calculated.

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Answer:Function 2

Step-by-step explanation:

Answer:

ANSWER IS C

Step-by-step explanation:

adj = 3

opp = 4

tanx = \(\frac{opp}{adj}\)

tan C = \(\frac{4}{3}\)

Answer:

433345344 Answer

Step-by-step explanation:

The sum of the numbers on the dice is 3 =  \(\frac{1}{18}\)

Dice are little, disposable objects with marked sides that can rest anywhere. They are widely used to generate random values in tabletop games like dice games, board games, role-playing games, and games of chance.

Let two fair dice are rolled.

So the possible number of outcomes are,

(1, 1)  (1, 2)  (1, 3)  (1, 4)  (1, 5)  (1, 6)

(2, 1)  (2, 2)  (2, 3)  (2, 4)  (2, 5)  (2, 6)

(3, 1)  (3, 2)  (3, 3)  (3, 4)  (3, 5)  (3, 6)

(4, 1)  (4, 2)  (4, 3)  (4, 4)  (4, 5)  (4,6)

(5, 1)  (5, 2)  (5, 3)  (5, 4)  (5, 5)  (5, 6)

(6, 1)  (6, 2)  (6, 3)  (6, 4)  (6, 5)  (6, 6)

There are total 36 outcomes.

To find the probability that the sum of the two dice is three, we can divide the event frequency (2) by the size of the sample space (36), resulting in a probability of 1/18. 3. Two six-sided dice are rolled.

The probability of the given event, two fair dice are rolled.

The sum of the numbers on the dice is 3

Total outcomes of two rolled dice = 36

Possibilities for sum of 3 are 1 + 2, 2 + 1.

So total possibilities for sum of 3 are 2.

Hence the probability for the sum of 3 = \(\frac{2}{36}\) = \(\frac{1}{18}\)

Therefore,

The sum of the numbers on the dice is 3 =  \(\frac{1}{18}\)

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Answer:

A ∪ B = [3, 9)

Step-by-step explanation:

Set X is 3, and all number greater than 3 up, but not including, 5.

Set Y is all numbers from 4 to 9, but not including 4 or 9.

The union of the sets is all numbers from 3 up to 9, including 3 but not including 9.
A ∪ B = [3, 9)

Answer:

13 inches

Step-by-step explanation:

I have done a Little draw because I don't know how i can explain you this exuse me

Therefore, the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM is approximately 0.1755, rounded to four decimal places.

To calculate the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM, we need to use the Poisson distribution formula. The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space. In this case, the mean (λ) is given as 5. The formula for the Poisson distribution is:

P(X = k) = (e*(-λ) * λ\(^k\)) / k!

Where:

P(X = k) is the probability of getting exactly k calls

e is the base of the natural logarithm (approximately 2.71828)

λ is the mean number of calls (given as 5)

k is the number of calls (in this case, 4)

k! is the factorial of k

Let's calculate the probability using the formula:

P(X = 4) = (e*(-5) * 5⁴) / 4!

P(X = 4) ≈ 0.1755

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Answer:

5/6

Step-by-step explanation:

Since 1 of the 6 equal parts is shaded, the shaded portion represents One-sixth.

Since 1 of the equal parts is shaded and 5 are not shaded, the shaded portion represents One-fifth.

Since 5 of the 6 equal parts are unshaded, the shaded portion represents Five-sixths.

Since 5 of the equal parts are unshaded, the shaded portion represents Five-fifths.

Answer:

1/6

Step-by-step explanation:

Since 1 part of the 6 parts is shaded then by fraction the shaded portion is 1/6 while the unshaded portion is 5/6.

Answer:

so each chair will cost 205

205 will be our cost C this is our dependent due to the entire cost being base on how many chairs that will get order

the independent variable will be how many chairs that will be ordered and there are 34 chairs being ordered

34*205= 6970

the total cost will be 6970

Answer:

y=4x+9

Step-by-step explanation:

The slope intercept form is \(y=mx+b\)

So m=4 and we plug it into the equation \(y=4x+b\)

Since there are x point is -1 and y point is 5 we plug those in replacing the corresponding variables \(5=4(-1)+b\)

So the equation becomes \(5=4+b\)

We add 4 to both sides \(5=4+b\\+4=+4\) so 9 equals b

Then we rewrite the whole equation as \(y=4x+9\)

Answer:

-3 (x - 4) (x - 1)

Step-by-step explanation:

Answer:

20x^3/4x7

20/4x^4

5/x^4

Step-by-step explanation:

Answer:

5 batches

Step-by-step explanation:

60÷ 12=5 batches

If one in every 9 people in the town vote for party A, then the remaining 8 out of 9 people would vote for party B. Therefore, we can calculate the number of people who vote for party B by multiplying the total number of people in the town by 8/9.
So, in a town of 810 people, 720 people would vote for party B, while the remaining 90 people would vote for party A.
In a town of 810 people, one in every 9 people votes for party A, and all others vote for party B. To find the number of people voting for party B, first, calculate the number of people voting for party A: 810 / 9 = 90 people. Since the remaining people vote for party B, subtract the number of party A voters from the total population: 810 - 90 = 720 people. or 810 x (8/9) = 720. Therefore, 720 people in the town vote for Party B.

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Answer:

f(g(13)) = 9 ⇒ (A)

Step-by-step explanation:

Composite function: is when one function is inside of another function

Eamples: If f(x) and g(x) are two functions, then

The given table

→  x  →  f(x)  →  g(x)

→  2  →  9    →   5

→  5  →  2    →   8

→  8  →  13   →   9

→  9  →  8    →   13

→  13 →  5    →   2

Use the table to answer the question

∵ f(g(13)) is a composite function

∴ g(13) = x of f

→ g(13) means value of g at x = 13

∵ g(13) = 2

→ That means we need to find f(2)

∴ f(g(13)) = f(2)

→ Find the value of f when x = 2

∴ f(2) = 9

∴ f(g(13)) = 9

The answer is A

We have two right-angled triangles that share a common side, with side lengths 6 and 10. Let's label the sides of the triangles as follows:

Triangle 1:

Side adjacent to the right angle: 6 (let's call it 'a')

Side opposite to the right angle: x (let's call it 'b')

Triangle 2:

Side adjacent to the right angle: x (let's call it 'c')

Side opposite to the right angle: 10 (let's call it 'd')

Using the Pythagorean theorem, we can write the following equations for each triangle:

Triangle 1:\(a^2 + b^2 = 6^2\)

Triangle 2: \(c^2 + d^2 = 10^2\)

Since the triangles share a common side, we know that b = c. Therefore, we can rewrite the equations as:

\(a^2 + b^2 = 6^2\\b^2 + d^2 = 10^2\)

Substituting b = c, we get:

\(a^2 + c^2 = 6^2\\c^2 + d^2 = 10^2\)

Now, let's add these two equations together:

\(a^2 + c^2 + c^2 + d^2 = 6^2 + 10^2\\a^2 + 2c^2 + d^2 = 36 + 100\\a^2 + 2c^2 + d^2 = 136\)

Since a^2 + 2c^2 + d^2 is equal to 136, we can conclude that x (b or c) is between 11 and 12

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Applying the scale factor of 1:5, Lisa del Giocondo's face was 1.6 inches long in the sketch.

If the scale factor from the sketch to real life is 1:5, then it means that every inch in the sketch represents 5 inches in real life.

Therefore, to find out how long Lisa del Giocondo's face was in the sketch, we need to multiply the real-life length of her face by the inverse of the scale factor, which is 1/5.

If her face was 8 inches long in real life, then her face in the sketch would be:

8 inches * (1/5) = 1.6 inches

Therefore, based on the scale factor given, Lisa del Giocondo's face was 1.6 inches long in the sketch.

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Answer:

Step-by-step explanation:

To estimate the required sample size for estimating the true proportion of Americans who support gun control in 2018 with a 95% confidence level and a margin of error of 0.36, we need to use the formula:

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

Where:

n = required sample size

Z = Z-score corresponding to the desired confidence level (for 95% confidence level, Z ≈ 1.96)

p = estimated proportion (since we have no prior information, we can use p = 0.5, which gives the maximum sample size required)

E = margin of error

Substituting the values into the formula:

n = (1.96^2 * 0.5 * (1 - 0.5)) / 0.36^2

n = (3.8416 * 0.25) / 0.1296

n ≈ 9.6042 / 0.1296

n ≈ 74.0842

Rounding up to the nearest whole number, the required sample size is approximately 75. Therefore, you would need to survey at least 75 randomly selected Americans to estimate the true proportion of Americans who support gun control in 2018 with a 95% confidence level and a margin of error of 0.36.

So, while a correlation coefficient of .150 suggests some level of relationship, it may not be the most significant predictor variable for insurance companies.

They would likely be more interested in variables with higher correlation coefficients that demonstrate a stronger relationship with the risk of being involved in an accident.

I companies use various predictor variables to assess the risk of an individual being involved in an auto accident.

In this case, the correlation coefficient mentioned in the question is missing, so I cannot provide a specific answer based on that.

However, based on the given information, it is commonly known that age is one of the most significant predictor variables in determining the likelihood of an individual being involved in an auto accident.

Younger and older drivers tend to have higher accident rates compared to middle-aged drivers.

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The car insurance company will be most interested in the predictor variable with the highest correlation coefficient, as this indicates a stronger relationship with the likelihood of being involved in an auto accident.

The car insurance company will be most interested in the predictor variable that has the highest correlation coefficient with the likelihood of being involved in an auto accident. The correlation coefficient measures the strength and direction of the relationship between two variables.

If the question states that the correlation coefficient is not provided, it becomes difficult to determine which predictor variable they will be most interested in. However, in general, insurance companies tend to be interested in variables that have a strong positive correlation with the risk of accidents.

For example, if the correlation coefficient between gender and accident risk is 0.8, age and accident risk is 0.6, and marital status and accident risk is 0.4, then gender would be the variable they are most interested in, as it has the highest correlation coefficient.

It's important to note that this is just one hypothetical scenario, and in reality, insurance companies consider multiple variables and statistical models to assess risk. The specific variables and their respective correlation coefficients may vary depending on the insurance company and the data they have analyzed.

In summary, the car insurance company will be most interested in the predictor variable with the highest correlation coefficient, as this indicates a stronger relationship with the likelihood of being involved in an auto accident. However, without knowing the correlation coefficient, it is not possible to determine which variable they will be most interested in.

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The value assigned to variable y in the given expression "x = 0; y = (x > 0) ? 10 : -10;" is -10.

In the given expression "x = 0; y = (x > 0) ? 10 : -10;", the variables x and y are being assigned values based on a conditional statement.

First, the value of x is assigned as 0.

The conditional statement (x > 0) checks whether the value of x is greater than 0. In this case, since x is equal to 0, the condition evaluates to false.

The ternary operator ? : is used to specify different values for y based on the outcome of the conditional statement. If the condition is true, the value assigned to y would be 10. On the other hand, if the condition is false, the value assigned to y would be -10.

In this case, since the condition (x > 0) is false, the value assigned to y is -10, as indicated after the colon :.

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Answer:

x = E/(p - y)

Step-by-step explanation:

p - y = e/x

x(p-y) = e

x = e/(p-y)

Answer:

Hey there!

p=e/x+y

p-y=e/x

x(p-y)=e

x=e/(p-y)

Hope this helps :)

Answer:

27

Step-by-step explanation:

its 3 times 3 times 3

Answer:

840

Step-by-step explanation:

7000×2×6 ÷ 100. since it is 2%

= 840

Answer: 44 boys and 40 girls

Step-by-step explanation:

x = number of girls

x + 4 = number of boys

x + x + 4 = 84

2x + 4 = 84

2x = 80

x = 40

84 - 40 = 44