Show that the following number is rational by writing it as a ratio of two integers.
52.4744174417441…

Answer:

the probability of the candidate to lose is 1

Answer:

<ABD and <DBC are supplementary angles by Linear Pair Postulate and m<ABD + m<DBC=180 by definition of supplementary angles

Step-by-step explanation:

Answer:

thats 3

Step-by-step explanation:

d:

(f/g)(-5) is equal to 1/4, and the value -1 is not in the domain of f/g.

To find (f/g)(-5), we need to substitute -5 into the functions f(x) and g(x) and then divide f(-5) by g(-5).

Given:

f(x) = (4+x)(6+x)

g(x) = 1+x

Substituting -5 into the functions:

f(-5) = (4+(-5))(6+(-5)) = (-1)(1) = -1

g(-5) = 1+(-5) = -4

Now, we can calculate (f/g)(-5):

(f/g)(-5) = f(-5) / g(-5) = -1 / -4 = 1/4

Therefore, (f/g)(-5) equals 1/4.

Now let's determine the values that are not in the domain of f/g. The values that are not in the domain of f/g are the values that make the denominator g(x) equal to zero. In this case, the denominator is g(x) = 1+x.

To find the values that make the denominator zero, we solve the equation:

1 + x = 0

Subtracting 1 from both sides, we get:

x = -1

So, the value x = -1 is not in the domain of f/g because it would make the denominator equal to zero.

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Answer:

x = 7

y = 8

Step-by-step explanation:

4y-4 = 28

4y = 32

y = 8

10x+65 = 135

10x = 70

x = 7

Answer:

Step-by-step explanation:

(4y-4)=28

4y=32

y=8

(10x+65)=135

10x=70

x=7

Answer:

-1/2

Step-by-step explanation:

To find f(f^-1(-1/2)), we need to first find the inverse of f, which is denoted as f^-1. The inverse of a function f is another function that undoes the effect of f. In other words, if y = f(x), then x = f^-1(y).

The inverse of f is given by:

f^-1(y) = (y - 5) / 2

Now we can substitute -1/2 for y in this expression to find f^-1(-1/2):

f^-1(-1/2) = (-1/2 - 5) / 2

f^-1(-1/2) = (-11/2) / 2

f^-1(-1/2) = -11/4

Now that we have found f^-1(-1/2), we can substitute this value into the original function f to find f(f^-1(-1/2)):

f(f^-1(-1/2)) = f(-11/4)

f(f^-1(-1/2)) = 2(-11/4) + 5

f(f^-1(-1/2)) = -11/2 + 5

f(f^-1(-1/2)) = -1/2

Therefore, f(f^-1(-1/2)) = -1/2

Answer: I believe it’s 10 ft

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Part A: We can complete the model representing Sage's minutes by putting n and 7 in the box.

Part B: We can complete the model representing Tom's minutes by putting n and 7 in the box

Part C: An algebraic expression to represent the number of minutes Sage has left is S = n - 7, where S equals the remaining talk minutes for Sage and n is the initial number of talk minutes.

Part D. An algebraic expression to represent the number of minutes Tom has left is T = n - 7, where T equals the remaining talk minutes for Tom and n is the initial number of talk minutes.

Part E: Sage and Tom have the same number of talk minutes left on their cell phone plans because they started with the same amount and consumed the same amount at the end of the month.

An algebraic expression is a mathematical expression that consists of variables and constants, along with algebraic operations and equality or inequality symbols.

The basic algebraic operations include addition, subtraction, division, and multiplication.

Thus, algebraic expressions can be used to mathematically model or represent the number of minutes that Sage and Tom have left.

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Answer:

The probability that the next customer will request mid-grade gas and fill the tank is 0.1800

Step-by-step explanation:

In order to calculate the probability that the next customer will request mid-grade gas and fill the tank we would have to make the following calculation:

probability that the next customer will request mid-grade gas and fill the tank= percentage of the people using mid-grade gas* percentage of the people using mid-grade gas that fill their tanks

probability that the next customer will request mid-grade gas and fill the tank=  30%*60%

probability that the next customer will request mid-grade gas and fill the tank= 0.1800

The probability that the next customer will request mid-grade gas and fill the tank is 0.1800

Answer: 5.5 is the correct

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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The required solution to the given equation is x = 20. The correct answer would be an option (C).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question, as follows:

2(2x - 4) = 3(x + 4)

Apply the distributive property of multiplication,

4x - 8 = 3x + 12

Rearrange the likewise terms and apply the arithmetics operation,

4x - 3x = 12 + 8

x = 20

Thus, the required solution is x = 20.

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Answer:

48.67% probability that the tires will fail within two years of the date of purchase

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

\(f(x) = \mu e^{-\mu x}\)

In which \(\mu = \frac{1}{m}\) is the decay parameter.

The probability that x is lower or equal to a is given by:

\(P(X \leq x) = \int\limits^a_0 {f(x)} \, dx\)

Which has the following solution:

\(P(X \leq x) = 1 - e^{-\mu x}\)

In this question:

\(m = 3, \mu = \frac{1}[3}\)

\(P(X \leq 2) = 1 - e^{-\frac{2}{3}} = 0.4867\)

48.67% probability that the tires will fail within two years of the date of purchase

Answer:

Shredders. Paper shredders can help you effectively dispose of sensitive documents and protect your personal information, whether at home or in the office.

Step-by-step explanation:

Answer:

Can you give us the drop down answers?

Step-by-step explanation:

Answer:

n ≤ 1 or n ≥ 7

Step-by-step explanation:

solve each part separately

86n + 13 ≤ 99 ( subtract 13 from both sides )

86n ≤ 86 ( divide both sides by 86 )

n ≤ 1

n + 90 ≥ 97 ( subtract 90 from both sides )

n ≥ 7

solution is n ≤ 1 or n ≥ 7

The probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001

In a series of 36 trials, if the subject is guessing randomly, then the probability of correctly guessing odd or even is 1/2.

Let X be the number of correct guesses in a series of 36 trials. X follows a binomial distribution with parameters n = 36 and p = 1/2.

The probability of guessing more than 20 correct is:

P(X > 20) = 1 - P(X ≤ 20)

Using a binomial distribution table, we can find that P(X ≤ 20) = 0.9999 (rounded to four decimal places).

Therefore: P(X > 20) = 1 - 0.9999 = 0.0001

So the probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001 (rounded to four decimal places).

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Answer:

In decimal form 0.4 or 4/10 or 2/5 (simplified). Also, in percentage form 40%.

Step-by-step explanation:

The absolute value of the elevation difference between the valley and sea level is 94 feet.

The absolute value of a number is the distance of that number from zero on the number line. It represents the magnitude or size of a quantity without considering its direction. In the given scenario, we are dealing with the elevation difference between a valley and sea level.

The valley is described as being 94 feet below sea level. To find the absolute value of the elevation difference, we need to ignore the negative sign and consider the magnitude of the difference.

In this case, since the valley is below sea level, the elevation difference is negative. However, when we take the absolute value, we disregard the negative sign and focus solely on the numerical value of the difference.

By applying the absolute value to the elevation difference of -94 feet, we remove the negative sign and consider only the magnitude. Thus, the absolute value of -94 is simply 94.

Therefore, the absolute value of the elevation difference between the valley and sea level is 94 feet. It indicates that the valley is 94 feet away from sea level in terms of elevation, regardless of the direction (above or below sea level). The absolute value provides a measure of the magnitude of the difference while disregarding the direction or sign associated with it.

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Answer:

I need brainliest please

Step-by-step explanation:

4x + 2y + 1 = 0

y = x² + X - 7

4x + 2(x² + X - 7) + 1 = 0

4x + 2x² + 2x -14 + 1 = 0

2x² + 6x - 13 = 0

you can finish up with your almighty formula

Answer:

1

Step-by-step explanation:

Figure EFGH is congruent to figure E'F'G'H'

Answer:

1/9

Step-by-step explanation:

Take 9 as 9/1

reciprocal of 9/1=1/9

Answer:

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

Add 195 to 1300, which gives you, 1495.

Use the formula for percent change:  Difference = % * original price.

So what is the difference between 1495 and 1300? It’s 195.

Now we have 195 as the difference.

Do we know the original price of the TV? Yes we do. What is it? Its 1300 because the question states the TV costs $1300.

Now we have the equation 195 = % * 1300

We don’t know the percentage, right? So now we have to solve for %. To do that, you have to do 195 divided by 1300, which gives you 0.15. Lastly, you have to turn 0.15 into a percentage, to do that, multiply 0.15 by 100, and it should give you 15%.

Therefore, 15% is the down payment. Hope this helps!

Answer:

Mode: 2

Step-by-step explanation:

The number 2, is the most repeated number.

Answer:

2 is the mode.

Step-by-step explanation:

First you have to put the numbers in order, which you did. The number that shows up the most is the mode. In this case it's 2, since it shows up twice and all the other numbers only show up once.

Here's a tip to remember:

Mode sounds like most.

The most shown number is the mode.

Answer:

$475

Step-by-step explanation:

1 Unit = $800, and 50 Units = $800 × 50 = $40,000. Maintenance cost = $50×50 = $2500. Apartment gross income = $40,000-$2,500= $37,500. Increment = $800 + 25 = $825, After increment, one fewer apartment was rented meaning, (50-1) apartment = 49 apartment was rented. After the increment, 49 × 825 = $40,425. Maintenance cost= 49×$50=$2450. After increment, the gross income will be $40,425-$2450= $37,975. Now, the rent that maximises the total amount of rent is the gross income for the new rent - the gross income for the old rent = $37975 - $37,500 = $475.

Answer:

101°

Step-by-step explanation:

\(50 \degree + x \degree + (180 - 151) \degree = 180 \degree \\ \\ 50 \degree + x \degree +29 \degree = 180 \degree \\ \\ x \degree +79 \degree = 180 \degree \\ \\ x \degree = 180 \degree - 79 \degree\\ \\ x = 101 \degree\)

Another way:

x° + 50° = 151° (Alternate angles)

x° = 151° - 50°

x° = 101°

x = 101

The scenario that will bring about a type II error will be when the true mean is 405 ppm and he uses a significance level of 0.15

It should be noted that a type II error simply describes the error that occurs when the individual fails to reject a null hypothesis.

From the complete question, type II error will be when the true mean is 405 ppm and he uses a significance level of 0.15. In this case, the null hyothesis was not rejected.

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Answer:

Step-by-step explanation: