Jonathan's lawn mower has 45 liters of gasoline in it. After mowing the grass, there are 21 liters of gasoline left in the gas tank. How many milliliters of gasoline did Jonathan use cutting the grass?

The value of z at 99.2% confidence is 2.41 in the proportion of population.

To find the value of z at a specific confidence level, we need to use a standard normal distribution table or a calculator that can perform normal distribution calculations.

The z-value corresponding to a 99.2% confidence level can be found by looking up the area of 0.996 (which is 1 - 0.008, where 0.008 is half of the 0.016 area corresponding to the tail probability beyond the z-value) in the standard normal distribution table or using a calculator in the interval. Using a standard normal distribution table, we can find that the z-value corresponding to an area of 0.996 is approximately 2.41. Therefore, the answer is 2.41.

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Answer:

Please check the attached graph.

Step-by-step explanation:

Note: You did not add the graph; so I am taking a sample graph to clear the concept anyway. Please check the referred graph attached below.

The slope on the graph basically tells us the time rate of change.

The slope can also be termed as:

From the attached graph, taking twp points

Finding the slope between (0, 3) and (-1, 0) using the formula

\(\left(x_1,\:y_1\right)=\left(0,\:3\right),\:\left(x_2,\:y_2\right)=\left(-1,\:0\right)\)

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{0-3}{-1-0}\)

\(m=3\)

Thus, the slope of the given line on the graph = m = 3

If a = 4, then a 2 · a 3 is equivalent to all of the following except _ 4^2 · 4^3 = 1,024

Noted that Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that a = 4, then the expression could be;

a^2 · a ^3

Substitute the values;

a^2 · a ^3  = 4^2 · 4^3

= 16 . 64

= 1,024

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Answer:

3. 33

4. g(x) = 3 (1+n)

Step-by-step explanation:

For the equation, I am not entirely sure that is what your teacher is looking for, but it definitely works! : )

To make it I just said that it looked like there were three different equal parts to the figures, and the area of the parts increases by one every time. So I just added 1 to whatever number it is which gets the area of one of the parts, and multiplied it by 3!

For number 3, I just plugged it into the equation I just made.

g(x) = 3(1+(10))

      = 3(11)

      = 33

Answer:

It's B

Step-by-step explanation:

Given that we have the graph of f(x), we want to see which one is the graph of its inverse. i just had that question and i got a 100 on it

Answer:

quantity supplied

Step-by-step explanation:

Answer:

Read explanation

Step-by-step explanation:

I answered another one of your questions just like this in detail so I'll keep this one shorter.

Domain: (-∞, 0]

Range: (-3,∞)

x-intercept: Approximately -3.75

y=intercept: -3

Answer:

8640in²

Step-by-step explanation:

A = I * W * H

A= 27*16*20

A=8640in²

i = -13,486 (millions of dollars) represent the income (in millions of dollars) for a company

Income is the money that is earned by an individual or business over a period of time, typically a year.

Given that: A company posted a net income loss of $13,486 million for the fiscal year 2016.

Since i represent the income (in millions of dollars) for the company.

But $13,486 million is a loss, which is a negative income.

Thus, i = -13,486 (millions of dollars)

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Complete question

Let i represent the income (in millions of dollars) for a company. A company posted a net income loss of $13,486 million for the fiscal year 2016. What is the value of I?

The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50

Step-by-step explanation: i dont know what to write??

Answer:

m∠Y  = 40°

Step-by-step explanation:

The sum of the three angles of a triangle must equal 180°

Thus

m∠W + m∠X + m∠y = 180°

→   (10x + 17) +  (2x - 9) + (3x + 7) = 180

→   10X + 17 + 2X + 9 + 3X + 7 = 180

Collecting like terms
→  10X + 2X + 3X + 17 - 9  + 7  = 180°

→ 15x + 15 = 180

Subtract constant 15 from both ssides:

→ 15x + 15 - 15 = 180 - 15

→ 15x = 165

Divide both sides by 15

→ 15x/15 = 165/15

→ x = 11

m∠Y = 3x + 7

m∠Y = 3 x 11 + 7

m∠Y  = 33 + 7

m∠Y  = 40°

To determine if a function has a vertical asymptote, you need to consider its behavior as the input approaches certain values.

A vertical asymptote occurs when the function approaches positive or negative infinity as the input approaches a specific value. Here's how you can determine if a function has a vertical asymptote:

Check for restrictions in the domain: Look for values of the input variable where the function is undefined or has a division by zero. These can indicate potential vertical asymptotes.

Evaluate the limit as the input approaches the suspected values: Calculate the limit of the function as the input approaches the suspected values from both sides (approaching from the left and right). If the limit approaches positive or negative infinity, a vertical asymptote exists at that value.

For example, if a rational function has a denominator that becomes zero at a certain value, such as x = 2, evaluate the limits of the function as x approaches 2 from the left and right. If the limits are positive or negative infinity, then there is a vertical asymptote at x = 2.

In summary, to determine if a function has a vertical asymptote, check for restrictions in the domain and evaluate the limits as the input approaches suspected values. If the limits approach positive or negative infinity, there is a vertical asymptote at that value.

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The given statement "As the level of confidence increases the number of item to be included in a sample will decrease when the error and the standard deviation are held constant." is False because error increases.

As the level of confidence increases, the required sample size will increase when the error and standard deviation are held constant.

This is because as the level of confidence increases, the range of the confidence interval also increases, which requires a larger sample size to ensure that the estimate is precise enough to capture the true population parameter with the desired level of confidence.

For example, if we want to estimate the mean height of a population with a 95% confidence interval and a margin of error of 1 inch, we would need a larger sample size than if we were estimating the same mean height with a 90% confidence interval and the same margin of error.

The larger sample size ensures that the estimate is more precise and that we have a higher level of confidence that it captures the true population parameter.

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Answer: 2

There are 10 triangles, that represent the number 2. There are 8 circles, that represents the number 1. To make this 1:1, we must add 2 circles.

10:10 = 1:1

The answer to the question is 2 circles.

Hope this helps you!

The number of circles is two that need to be added to make the ratio 1:1

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Given that,

The ratio of the number of circles to the number of triangles in simplest form is 2 : 14

The number 2 is represented by the ten triangles that are visible.

The number 1 is represented by the 8 circles.

So the number of two circles that must be added to get a ratio of 1:1,

Therefore two circles must be added.

Hence, the number of circles is two that need to be added to make the ratio 1:1

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The probability that Tom is selected as President is 1 in 10, or 0.1.

The probability of Tom being selected as President is 1 in 10, or 0.1. This is because there are 10 members in the club, and each selection is equally likely. Therefore, the chance of Tom being chosen as President is the same as any other member of the club. This means that there is a 1 in 10 chance of Tom being selected as President, or a 0.1 probability. This probability can also be expressed as a fraction: 1/10, which is the same as 0.1. To calculate the probability of any other selection, such as the Vice-President or Treasurer, the same method can be applied. The probability of any one member of the club being selected for any position is 1 in 10, or 0.1.

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we can conclude that f'(0) does not exist because the limit of the difference quotient as x approaches 0 does not exist.

To determine whether the derivative of f(x), denoted as f'(0), exists at x = 0, we need to check if the limit of the difference quotient exists as x approaches 0.

The difference quotient formula for the derivative is:

f'(a) = lim (h->0) [(f(a + h) - f(a))/h]

In this case, we need to evaluate f'(0), so our formula becomes:

f'(0) = lim (h->0) [(f(0 + h) - f(0))/h]

Substituting the definition of f(x) into the formula, we have:

f'(0) = lim (h->0) [(0 + h * sin(1/(0 + h)) - 0)/h]

Simplifying the expression further, we get:

f'(0) = lim (h->0) [h * sin(1/h)/h]

Canceling out h in the numerator and denominator, we have:

f'(0) = lim (h->0) [sin(1/h)]

Now, as h approaches 0, the value 1/h approaches infinity. As sin(1/h) oscillates between -1 and 1 for all non-zero values of 1/h, the limit of sin(1/h) as h approaches 0 does not exist.

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The measure of angle EBF is  80° .

In the question ,

it is given that ,

point A, B and C lie on a straight line .

and G , B and F lie on a different straight line .

angle GBA = 24° so ,

GBA + GBC = 180°   ...because linear pair

So , GBC = 180 - 24 = 156°

angle CBF = 24°          ......because vertically opposite angles are equal .

from the figure , we see that angle GBC and angle ABF are vertically opposite angles , so ,

156° = ABE + EBF         .....(1)

Since the line AC and DF are parallel and BE is the transversal

So  , angle DEB + angle ABE = 180°

104° + ABE = 180°

ABE = 180-104

ABE = 76°

Substituting ABE = 76° in the equation (1) ,

we get ,

156 = 76+ EBF

EBF = 156 - 76

EBF = 80°

Therefore , The measure of angle EBF is  80° .

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Answer:

400

Step-by-step explanation:

12000 X 60%=7200-parents

12000-7200=4800-owen

4800/12=400 is what owen will save monthly

Answer:

C

Step-by-step explanation:

because you divide the circumference to the diameter

Answer:

To find the expression that best represents the value of pi, we can use the formula for the circumference of a circle, which relates the circumference (C) to the diameter (D) and the value of pi (π):

C = π * D

In this case, the given information tells us that the circumference of the circular rug is approximately 37.68 feet and the diameter is 12 feet. Let's substitute these values into the formula:

37.68 = π * 12

To solve for π, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 12:

37.68 / 12 = π

Therefore, the expression that best represents the value of pi based on the given information is:

π ≈ 3.14

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Answer:80.74

Step-by-step explanation: lol

Answer: x = 6

Step-by-step explanation:

All angles in a triangle = 180*

9x - 11 + 80 + 57 = 180

9x + 137 = 180

9x = 54

x = 6

Plug in to see if its correct

9 (6) - 11 + 80 + 57 = 180

54 + 126 = 180

180 = 180

Answer:

\(g(x) = -3x\)

Step-by-step explanation:

Given

\(f(x) = 3x\)

Required

Reflect over \(y = 0\)

This means that we reflect over the x-axis

And the rule of reflection is:

\((x,y) \to (x,-y)\)

Hence:

\(f(x) = 3x\)

Will become:

\(g(x) = -f(x)\)

So, we have:

\(g(x) = -3x\)

The number of rows in the log stack is 2. To find the number of rows in this log stack, we need to find the number of times we can subtract 3 from 48 until we reach 24.

48 - 3 = 45

45 - 3 = 42

42 - 3 = 39

We keep subtracting 3 until we reach 24. When we reach 24, we have found the second row, so the number of rows in the stack is 2.

This problem is asking for the number of rows in a stack of logs, where the number of logs decreases by three for each row. To solve this problem, we can use a simple mathematical equation. We can start with the number of logs on the bottom row, which is 48, and subtract 3 logs for each subsequent row. To find the total number of rows, we need to determine when the number of logs in a row becomes zero. This can be done by dividing the number of logs on the bottom row by 3, and rounding up to the nearest whole number. In this case, 48 divided by 3 is 16, so we would round up to 17. This means there are 17 rows in total, with the first row having 48 logs, the second row having 45 logs, and so on, until the last row with 24 logs.

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Answer:

Transitive Property of Congruence

Explanation:

Here, we want to get the congruence law used

From what we have, given 3 set of angles with 1 one of the angles equal to the two others, it mean that the other two are equal to one another

Thus, we can see that there is a linkage between the values as a result of one of the angles being equal to the other two

The name of the congruence property that represents this is the transitive property of congruence

We can use it to infer or get the value of a third angle or use to define the equality of two angles given a third one in which the first two are equal to

It would take 23,532 gallons of water to fill the swimming pool.

To find the volume of the swimming pool, we multiply the length, width, and height together. The length of the pool is given as 150 feet, the width is 50 feet, and the height varies from 3 feet to 10 feet.

Since the pool has a straight grade, the shape of the pool can be considered as a trapezoidal prism. The formula for the volume of a trapezoidal prism is (1/2) × (base1 + base2) × height × length. In this case, the bases are the widths of the shallow end (3 feet) and the deep end (10 feet), and the height is the difference between the deep end and shallow end (10 feet - 3 feet = 7 feet).

Using the formula, we can calculate the volume of the pool as follows:

Volume = (1/2) × (3 feet + 10 feet) × 7 feet × 150 feet = 3150 cubic feet

To convert the volume from cubic feet to gallons, we use the conversion factor of 7.48 gallons per cubic foot:

Total gallons = 3150 cubic feet × 7.48 gallons/cubic foot = 23,532 gallons

Therefore, it would take 23,532 gallons of water to fill the swimming pool.

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The value of 20,304 using exponents will be 2.0304 × 10⁴.

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number.

For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

In this case, the value of 20,304 will be:

= 2.0304 × 10000

= 2.0304 × 10⁴.

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Answer:

4x -12

Step-by-step explanation:

is that what u needed lol

Step-by-step explanation:

-24 ==== ( 2×-6=-12___-12×2= -24)