If 15% of 4x is 20 less than x, what is the value of x?

the base of the triangular window is 24 feet and the height is 10 feet.

Let's denote the height of the triangular window as h feet. According to the given information, the area of the window is 120 square feet.

The formula to calculate the area of a triangle is:

Area = (1/2) × base × height

In this case, we can write the equation as:

120 = (1/2) × base × h

Now, we are also given that the base of the window is 4 feet more than twice the height. So we can express the base as:

base = 2h + 4

Substituting this expression for the base into the area equation, we have:

120 = (1/2) × (2h + 4) × h

Now we can solve this equation for the height.

Multiplying both sides of the equation by 2 to remove the fraction:

240 = (2h + 4) × h

Expanding the right-hand side:

240 = 2h² + 4h

Rearranging the equation and setting it equal to zero:

2h² + 4h - 240 = 0

Now we can solve this quadratic equation. Factoring out a 2:

2(h² + 2h - 120) = 0

Factoring the quadratic expression inside the parentheses:

2(h + 12)(h - 10) = 0

Setting each factor equal to zero:

h + 12 = 0   or   h - 10 = 0

Solving these equations, we get:

h = -12   or   h = 10

Since height cannot be negative in this context, we discard the negative value. Therefore, the height of the triangular window is h = 10 feet.

Substituting the height value back into the expression for the base:

base = 2h + 4

    = 2(10) + 4

    = 20 + 4

    = 24

Therefore, the base of the triangular window is 24 feet and the height is 10 feet.

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Answer:

c

Step-by-step explanation:

Answer:the answer is 90

Step-by-step explanation:

Answer:

she will paint one in the inside and the remaining three paints should be outside of the box

Step-by-step explanation:

she will paint one in the inside and the remaining three paints should be outside of the box

Answer:

The graph of  can be drawn by first draw the graph of  then draw the graph of   by multiplying the y-axis by 4 aand then taking the mirror image of   in x-axis.

Given :

To plot the graph of the function f(x) following steps can be use:

Step 1 - First draw the graph of .

Step 2 - Now, multiply y-axis by 4. After multiplying the y-axis by 4 the graph is called the graph of  .

Step 3 - Now, take the mirror image of  in x-axis. After taking the mirror image in x-axis the graph is called the graph of .

The graph of  is attached below.

From the above steps it can be concluded that the correct graph is shown in option C).

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Answer:

The answer is the graph that is shown bellow

Step-by-step explanation:

I took the quiz

(a)The mean lifetime is: mean = 78.4 years

(b)Variance = \(31.36\ {(years)}^2\)

(c)Cumulative probability: P(X ≤ 196) ≈ 0.9983

(d)The approximate probability that an individual reaches age 90 is approximately 0.0017 or 0.17%.

(e)The approximate probability that an individual reaches age 100 is approximately 0.0003 or 0.03%.

What is the Poisson distribution?

The Poisson distribution is a discrete probability distribution that models the number of events that occur within a fixed interval of time or space. It is often used to describe rare events that occur independently of each other, such as the number of phone calls received in a call center in a given hour or the number of accidents on a particular road in a day.

To solve the given problems, we'll make use of the properties of the Poisson distribution. Let's calculate the required values step by step:

(a) The mean lifetime of an individual can be calculated using the formula: mean = λ / rate, where λ represents the number of events (mistakes in cell division) and the rate is the rate of occurrence per unit of time.

In this case, λ = 196 (number of mistakes) and the rate is 2.5 per year. Therefore, the mean lifetime is: mean = 196 / 2.5 = 78.4 years

(b) The variance of the lifetime can be calculated using the formula: variance = \(\lambda/ rate^2.\)

Using the same values as above, we can calculate the variance: variance = \(196 / (2.5^2)\) = 31.36 \((years)^2\)

(c) To approximate the probability that an individual dies before age 67.2, we can use the Poisson distribution cumulative probability function. Let's denote X as the number of mistakes (Poisson random variable). We need to find P(X ≤ 196) when the rate is 2.5 per year and the time is 67.2 years.

Using a Poisson distribution calculator or software, we can find the cumulative probability: P(X ≤ 196) ≈ 0.9983

Therefore, the approximate probability that an individual dies before age 67.2 is approximately 0.9983 or 99.83%.

(d) To approximate the probability that an individual dies before age 67.2, we can use the Poisson distribution cumulative probability function. Let's denote X as the number of mistakes (Poisson random variable). We need to find P(X ≤ 196) when the rate is 2.5 per year and the time is 67.2 years.

Using the complement rule of probability, we can calculate:

P(X > 196) = 1 - P(X ≤ 196)

Again, using the Poisson distribution calculator or software, we find:

P(X > 196) ≈ 0.0017

Therefore, the approximate probability that an individual reaches age 90 is approximately 0.0017 or 0.17%.

(e) Similarly, to approximate the probability that an individual reaches age 100, we need to find P(X > 196) when the rate is 2.5 per year and the time is 100 years.

Using the same complement rule of probability as above, we can calculate: P(X > 196) = 1 - P(X ≤ 196)

Using the Poisson distribution calculator or software, we find: P(X > 196) ≈ 0.0003

Therefore, the approximate probability that an individual reaches age 100 is approximately 0.0003 or 0.03%.

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Answer:

Step-by-step explanation:

(6). y = \(\frac{1}{3}\) x + 2 [ linear function ]

(7). y = 4 [ horizontal line, linear function ]

(8). x = 2 [ vertical line, not a function ]

Answer:

Step-by-step explanation:

Volume of cylinder = πr²h

Volume of cone = πr²h/3

Volume of cylinder is not used by cone = ⅔πr²h = ⅔(3.14)(3^2)(8) = 150.72 sq in

It is possible to use a relational operator and math operators in the same expression.

In programming, you can use relational operators (e.g., <, >, ==, !=) and math operators (e.g., +, -, *, /) together in the same expression. This is often used in conditional statements or loops to compare calculated values.

For example, consider the following expression:

`if (2 * 3) > (4 + 1)`

In this expression, we have math operators (*) and (+) and a relational operator (>). The math operations are evaluated first, resulting in:

`if (6) > (5)`

Then, the relational operator (>) is evaluated, and the expression becomes:

`if True`

The expression is true because 6 is greater than 5.

It is possible to use both relational operators and math operators in the same expression, which can be useful in various programming situations such as conditional statements or loops.

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If the average service rate is 6 customers per hour, and assuming the negative exponential distribution is used to describe the randomness of the service time distribution. The probability that the service time will be less than or equal to 6 minutes is 0.549 [B]

The average service rate of 6 customers per hour corresponds to a mean service time of 1/6 = 0.1 hour = 6 minutes. To find the probability that the service time will be less than or equal to 6 minutes, we need to find the cumulative distribution function (CDF) of the exponential distribution evaluated at 6 minutes. The CDF of the exponential distribution is given by:

F(x) = 1 - exp(-λx)

where,

λ = 1/mean = 1/0.1 = 10. Plugging in x = 6, we get:

F(6) = 1 - exp(-10 * 6) = 1 - exp(-60) ≈ 0.549

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Answer:

10000000000

Step-by-step explanation:

\(10^{10}\) = 10000000000

1.8 raised to the seventh power divided by 1.8 raised to the sixth power is found as 3.24. So, the correct is option 3: 3.24.

To evaluate the expression 1.8 raised to the seventh power divided by 1.8 raised to the sixth power, all raised to the second power, we can use the property of exponents. When dividing two powers with the same base, we subtract the exponents.

So, 1.8 raised to the seventh power divided by 1.8 raised to the sixth power is equal to 1.8 to the power of (7-6), which simplifies to 1.8 to the power of 1.

Next, we raise the result to the second power. This means we multiply the exponent by 2.

Therefore, 1.8 raised to the seventh power divided by 1.8 raised to the sixth power, all raised to the second power is equal to 1.8 to the power of (1*2), which simplifies to 1.8 squared.

Calculating 1.8 squared, we get 3.24.
So, the correct is option 3: 3.24.

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Answer:

13/3

Step-by-step explanation:

Write as a fraction first,

0.65/0.15

convert decimal to fractions,

13/20/3/20 = 13/3

Learning math can be a challenging task, but with persistence, hard work, and effective study strategies, it is definitely possible to improve your math skills.

Start with the basics: Make sure you have a good foundation in basic math concepts before moving on to more advanced topics. Practice basic arithmetic, fractions, decimals, and percentages until you feel comfortable with them.

Focus on understanding, not just memorizing: Math is not just about memorizing formulas and equations; it's about understanding how and why they work. Focus on understanding the underlying concepts and principles.

Practice regularly: The more you practice, the better you will get. Try to set aside some time each day to practice math problems. This will help you build your skills and improve your understanding.

Use multiple resources: Don't just rely on one textbook or resource. Use multiple resources such as online tutorials, videos, practice problems, and textbooks to get a well-rounded understanding of the topic.

Seek help when needed: Don't hesitate to ask for help if you are struggling with a particular topic. You can reach out to a teacher, tutor, or online community for help.

Stay motivated: Math can be challenging, but it's important to stay motivated and not give up. Keep a positive attitude, celebrate your successes, and remember that every mistake is an opportunity to learn and grow.

Remember that learning math takes time and effort, so don't get discouraged if you don't see immediate results. With persistence and hard work, you can become proficient in math.

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Answer:

The area is 200.96 in^2

Step-by-step explanation:

Answer:

200.96 in^2

Step-by-step explanation:

circle area formula is πr^2

radius = diameter / 2, radius is 8

8^2.π  = 64π  

π  = 3,14

final answer is 64 X 3.14= 200.96 in^2

Answer:

Given

Find

Solution

Answer:

  2.6

Step-by-step explanation:

A is after the 6th of 10 spaces between 2 and 3. It has the value 2 +6/10 = 2.6.

Answer:

ALTERNATE EXTERIOR ANGLES

Step-by-step explanation:

If the two angles that lie on two different lines cut by a transversal and are placed on the opposite sides of the transversal are equal, it means they are ALTERNATE EXTERIOR ANGLES. Then, j is parallel to k.

Answer:

E.24/7 tan(74) = opposite/advanced The length of the side opposite to the 74 degree angle is 24 units*The length of the side adjacent to the 74 degree angle is 7 units*If you substitute the value into the formula to obtain: tan(74) = 24/7 The correct answer is option E

Answer:

about 1.5 years i think

Step-by-step explanation:

Answer:

step 1 communative property

Step-by-step explanation:

just look it up I forget about this

Answer:

\(1\frac{1}{9}\)  gallons of paint

Step-by-step explanation:

paint =

2/3 ---- 3/5

x ----  1

\(x = \frac{\frac{2}{3} }{\frac{3}{5} } =\frac{(2)(5)}{(3)(3)} =\frac{10}{9}\)

\(x=1\frac{1}{9}\)

Hope this helps

Answer: 1 and 1 over 9 as a fraction .

Step-by-step explanation: HOPE IT HELPS YOU .

9514 1404 393

Answer:

  (x, y) = (34/5, -4/5) = (6.8, -0.8)

Step-by-step explanation:

Subtract the first equation from the second to eliminate x.

  \(\left(\dfrac{x}{3}-\dfrac{y}{2}\right)-\left(\dfrac{x-5}{3}+\dfrac{y+2}{3}\right)=\left(\dfrac{8}{3}\right)-(1)\\\\y\left(-\dfrac{1}{2}-\dfrac{1}{3}\right)+\left(\dfrac{5}{3}-\dfrac{2}{3}\right)=\dfrac{5}{3} \qquad\text{partially simplify}\\\\-\dfrac{5}{6}y=\dfrac{2}{3} \qquad\text{subtract 1}\\\\y=-\dfrac{4}{5} \qquad\text{multiply by $-\dfrac{6}{5}$}\)

Substituting for y in the second equation, we can find x.

  \(\dfrac{x}{3}-\dfrac{1}{2}\left(-\dfrac{4}{5}\right)=\dfrac{8}{3}\\\\5x +6=40 \qquad\text{multiply by 15}\\\\5x=34\qquad\text{subtract 6}\\\\x=\dfrac{34}{5}\)

The solution is (x, y) = (34/5, -4/5) = (6.8, -0.8).

Yes, there are experts here in data forecasting methods who can help you with the topics you've mentioned including time series (holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series.

Below are brief explanations of each of these terms:

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Answer:

128 which is B) 2^7

Step-by-step explanation:

Answer:

Exact form 2/11

Decimal form 0.18

The probability that a student scores between 450 and 600 on the SAT math section is approximately 0.4147 or 41.47%.

To find the probability that a student scores between 450 and 600 on the SAT math section, we need to use the properties of the normal distribution. We know that the mean is 511 and the standard deviation is 110.

First, we need to standardize the values of 450 and 600 using the formula:

z = (x - μ) / σ

where x is the value we want to standardize, μ is the mean, and σ is the standard deviation.

For 450:

z = (450 - 511) / 110 = -0.55

For 600:

z = (600 - 511) / 110 = 0.81

Next, we need to find the area under the normal curve between these two standardized values. We can use a table or a calculator to find that the area between z = -0.55 and z = 0.81 is approximately 0.4147.

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Hamilton led the Annapolis Convention in 1786 to adopt the United States Constitution in place of the Articles of Confederation.

Alexander Hamilton and George Washington spent years working near to one another, but they never grew close friends because of their respective roles and personalities. They exchanged gifts, nevertheless, that may have been of more value.

The popular Broadway musical Hamilton has been added to Disney+'s streaming library. Since then, the hip-hop and rap-infused history lesson has become more and more well-known. Alexander Hamilton's tale, along with that of other significant American Revolutionary War figures, is told in Hamilton.

In an effort to restore his political standing, Hamilton published a pamphlet to deny the charges of speculation but publicly admitted to the affair in what would be the first major American political sex scandal.

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Step-by-step explanation:

draw a rectangle with width 98 and height 55 there are two of each side, so 98 + 98 + 55 +55 = 306

Answer:

306m

Step-by-step explanation:

You need to find the perimeter of the rectangle. To do that, you just add the side lenghts. So, this is your lawn with the side lengths:

                      55m
           _____________
           |                           |
           |                           |
           |                           |
98m    |                           |     98m
           |                           |
           |                           |
           |                           |
           _____________
                      55m

You just add them together!

55 + 55 + 98 + 98 = 306

so you need 306 meters of fencing

Answer:

b

Step-by-step explanation:

Answer:

1.5 inches po

Step-by-step explanation:

thanks me later

good luck!