What is the landing strip’s area ?

The probability of the person's waiting time being between 4 and 5 seconds, given that they have already waited for 3 seconds, is 0.20. Additionally, 15% of the time a person will wait at least 10.80 seconds before a wave crashes.

To determine the mean of the distribution, we use the given information that waves arrive every 6 seconds. This means that on average, a person can expect to wait for 6 seconds before a wave crashes.

The standard deviation is calculated as 0.00 seconds because the waves arrive with a fixed interval of 6 seconds, resulting in no variability in the waiting times.

To find the probability that the next wave will crash at least 1 second after the person arrives, we calculate the proportion of the 6-second interval after the person's arrival time. In this case, it is 1 second divided by 6 seconds, resulting in a probability of 0.17.

Given that the person has already been waiting for 3 seconds without a wave crashing in, we want to find the probability that their total waiting time will be between 4 and 5 seconds. We subtract the probability of waiting less than 4 seconds (3 seconds) from the probability of waiting less than 5 seconds (4 seconds) to obtain the desired probability of 0.20.

To determine the waiting time where a person will wait at least 15% of the time before a wave crashes, we find the corresponding value on the cumulative distribution function (CDF). By identifying the value on the CDF where the probability is 0.15, we can conclude that a person will wait at least 10.80 seconds before a wave crashes 15% of the time.

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After solving the equation, x = -1 is the value of x in \(3^{(-2x)+2} = 81\)

⇒ \(3^{(-2x)+2} = 81\)

⇒ \(3^{(-2x)+2} = 3^4\)

⇒ -2x + 2 = 4

⇒ -2x = 2

⇒ x = 2/(-2)

⇒ x = -1

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

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The likelihood of finding that the sample mean is between 59,050 and 60,950 miles can be determined by calculating the probability using the normal distribution with a sample size of 90, a population mean of 60,000 miles, and a population standard deviation of 4,000 miles.

To find out the probability of getting a sample mean between 59,050 and 60,950, a simulator is used to determine the tread life of tires mounted on light-duty trucks that follows a normal probability distribution.

Here, the population mean is 60,000 miles and the standard deviation is 4,000 miles. The given sample size is 90.

We can use the formula for standardizing the score. The standardized score for the lower limit of 59,050 is -2.78, and that of the upper limit of 60,950 is 2.78. Now, we need to find the probability of getting the mean value between -2.78 and 2.78.

We can use the standard normal distribution table to find the value, which is 0.9950 for z = 2.78 and 0.0050 for z = -2.78. Hence, the required probability is 0.9900.

Therefore, the likelihood of finding that the sample mean is between 59,050 and 60,950, for a sample size of 90 tires, is 0.9900.

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In order to estimate the intercept 0 and slope 1 regression coefficients and perform the other tasks mentioned, we need the data set.

However, the data set is missing in the given question. Hence, it is not possible to answer the question without the data set.

Regression coefficients, also known as regression parameters or regression coefficients, are the estimated values that represent the relationship between the independent variables (predictors) and the dependent variable in a regression model. In a linear regression model, these coefficients determine the slope of the regression line.

The regression coefficients are estimated using various statistical methods, such as ordinary least squares (OLS), which aims to minimize the sum of the squared differences between the observed values and the predicted values.

The interpretation of regression coefficients depends on the context and the variables involved in the regression model. They quantify the change in the dependent variable for a one-unit change in the corresponding independent variable, holding other variables constant. Additionally, the coefficients can indicate the direction (positive or negative) and magnitude of the effect of the independent variables on the dependent variable.

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Answer:75 children

Step-by-step explanation: Let the number of children will be x, so the number of adults will be 215-x

Making equation: 3x+5(215-x)=925

3x+1075-5x=925

-2x=925-1075

-2x=-150

x=75

Answer:

Read answer below :)

Step-by-step explanation:

So you know that the height is 12 cm, and the base is 27 cm at full. When they show you half, that's 13.5. So, having three sides in the entire base-length of 27 cms, you'll divide 27 by 3, in which case you get 9. Each the the base lengths are 9.

So the formula for volume is length * width * height. Knowing the width (13.5), the length (9), and height (12), multiply them. Your final answer is 1458 for all of it. For one side, divide by 6.

Hope this helps

Answer:

hey hotty

Step-by-step explanation:

No

A point is on a line if that point satisfies the equation.

Testing Points

To test if the point (2,7) is on the line y = 2x + 7, we need to plug the point into the equation. For the coordinate pair (2,7), the x-value is 2 and the y-value is 7. So, plug 2 in for x and 7 in for y.

Then, simplify.

As you can see, 7 does not equal 11. Thus, point (2,7) cannot be a point on the given line.

Other Points

We can do this same test with other points such as (1,9). The x-value is 1 and the y-value is 9, so now we can plug them in.

Since 9 equals 9 is a true statement, the point (1,9) is a point on the given line.

Answer:

B. -9

Step-by-step explanation:

PLATO correct

Answer: D and B

Step-by-step explanation:

17. Trying out all of the answers, you can find that D works

18. Also trying out all four answers, you can find that B works

Answer: See Bellow

Step-by-step explanation:

Juliet's sample may not be valid for several reasons. Firstly, her sample size of 20 students may not represent the entire student population at her school. If her class is not a random sample of the whole student population, her results may not generalize to the entire school. Additionally, the model may suffer from selection bias if she only surveyed students she knew liked short stories or if she conducted the survey in a way that only sure students responded. Therefore, it is essential to have a large and representative sample to ensure the validity of the conclusions drawn from the survey results.

Answer:

Step-by-step explanation:

The formula for finding area is \(\pi\)r2, and since half of diameter is radius, we'll need to divide the diameters given by 2. So the formula will be A = π (d/2)2.

Answer:

13π

Step-by-step explanation:

A(Circle) = πr²

r = d/2

A(Large) = π(7)² = 49π

A(Medium) = π(6)² = 36π

Therefore, the area of a large pizza is 13π greater than the area of a medium pizza.

The value of quadratic function is,

⇒ y = 9x² + 54x - 63

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The equation is,

⇒ y = 9 (x - 1) (x + 7)

Now, We can find the quadratic equation as;

⇒ y = 9 (x - 1) (x + 7)

⇒ y = 9 (x² + 7x - x - 7)

⇒ y = 9 (x² + 6x - 7)

⇒ y = 9x² + 54x - 63

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The value of γ is greater than 1 for any v > 0, greater than 10 for v > 0.995c, and greater than 100 for v > 0.99995c.

To determine for what speed (in terms of c) the value of γ is greater than 1, 10, and 100, we'll use the formula for the Lorentz factor (γ):
γ = 1 / √(1 - v²/c²)
where v is the speed and
c is the speed of light.

(a) For γ > 1:
Since γ is always greater than 1 for any speed v greater than 0, we can say that γ is appreciably greater than 1 for any v > 0.

(b) For γ > 10:
We need to solve the equation 10 = 1 / √(1 - v²/c²) for v/c:
Squaring both sides, we get 100 = 1 / (1 - v²/c²).
Now, solve for v²/c²: v²/c² = 1 - 1/100 = 99/100.
So, v/c = √(99/100), which implies v > 0.995c for γ > 10.

(c) For γ > 100:
Similar to (b), solve the equation 100 = 1 / √(1 - v²/c²) for v/c:
Squaring both sides, we get 10000 = 1 / (1 - v²/c²).
Now, solve for v²/c²: v²/c² = 1 - 1/10000 = 9999/10000.
So, v/c = √(9999/10000), which implies v > 0.99995c for γ > 100.

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What percent of 120 is 180

we know that

120 represent the 100%

so

Applying proportion

100/120=x/180

solve for x

x=(100/120)*180

x=150%

The completed area model describing how to divide 368 by 8 can be presented as follows;

\({}\)           ___40____________6_____

8     \({}\)            320             |         48

    \({}\)        _______________________

          \({}\)      368 ÷ 8 = 46

An area model visually represents mathematical concepts to improve the understanding of such concepts by students. Mathematical model that can be demonstrated using an area model includes division and multiplication.

The division and multiplication of two numbers can be displayed visually using a rectangular area model, where, the divisor is the width of the  rectangle and the quotient is the length of the rectangle.

The area model for the division of 368 by 8 can be presented as follows;

368 = 320 + 48

368/8 = (320 + 48)/8 = 40 + 6

Therefore, the area model can be presented as follows;

   ×         \({}\) 40                   6                  

8   \({}\)          320                  48

      \({}\)    368 ÷ 8 = 46

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To determine the optimal order quantity for Rocky Mountain Tire Center, you must consider ordering costs, storage costs, and the purchase price of the tires. The order quantity should minimize the total cost including both ordering cost and storage cost.

The EOQ formula is given by: EOQ = √((2DS) / H)

Where: D = Annual demand (7,000 go-cart tires)

S = Ordering cost per order ($40) H = Holding cost - percentage of the purchase price (40% of the purchase price)

we need to determine the purchase price per tire based on the quantity ordered.

EOQ = √((2 * 7,000 * 40) / (0.4 * 15))

=118 tires

they should order approximately 118 tires.

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The set of ordered pairs that is a function is (c)  {(-2, -6), (-5, -6), (9, -2), (7, 3)}

The list of options represents the given parameter

As a general rule, for an ordered pair to be a function;

The y values on the ordered pair must point to different x values

In (a) the y values -1 and 7 have the same x value of 1

So, it is not a function

In (b) the y values -4 and -6 have the same x value of 3

So, it is not a function

In (c) all the y values have different x values

So, it is a function

In (d) the y values -5 and -1 have the same x value of -6

So, it is not a function

Hence, the ordered pair that is a function is (c)

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Answer:

The answer would be C. {(-2, -6), (-5, -6), (9, -2), (7, 3)\}{(−2,−6),(−5,−6),(9,−2),(7,3)}

Step-by-step explanation:

The result provides convincing evidence that the tsa officers did not carrry out a truly random sample.

A simple random sample is a subset of a statistical population in which each member has an equal chance of being selected.

In statistics, a simple random sample is a subset of individuals picked at random from a larger set, with all individuals having the same probability. It is the process of selecting a sample at random.

In this case, it's important to note that the fact that all the people chosen were first class members means that it was bias and not a random sampling.

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There are 48620 ways to randomly select 6 bottles of wine from 31 for serving purpose.

The combination is defined as “An arrangement of objects where the order in which the objects are selected does not matter.”

The number of ways to randomly select 6 bottles of wine from 31 can be calculated using combinations.

The formula for combinations is C(n, k) = n! / (k! (n - k)!).

In this case, n = 31 (the total number of bottles) and k = 6 (the number of bottles to be selected).

Therefore, the number of ways to randomly select 6 bottles of wine from 31 is C(31, 6) = 31! / (6! (31 - 6)!) = 48620.

So, there are 48620 ways to randomly select 6 bottles of wine from 31

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Without redefining any global objects, changing the definition of the exp y function, or creating new objects, you can calculate the fourth power of eleven using the exp y function by calling exp y(11), which will give you the result of 14641.

To calculate the fourth power of eleven using the expy function without redefining the global objects x or y, changing the definition of the expy function, or creating any new objects, you can follow these steps:

1. First, we need to understand the expy function. The expy function calculates the exponential value of the variable y. In this case, y represents the power to which we want to raise a number.

2. To calculate the fourth power of eleven, we can use the expy function with y set to 4 and the number 11 as the input. This can be done by calling the expy function with the value of 11 as the argument, like this: expy(11).

3. The expy function will then raise the input number (11) to the power of the variable y (4). In other words, it will calculate 11^4.

4. The result of the calculation will be the fourth power of eleven, which is 14641.

So, without redefining any global objects, changing the definition of the exp y function, or creating new objects, you can calculate the fourth power of eleven using the exp y function by calling exp y(11), which will give you the result of 14641.

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Answer:

1/10, 13%, 0.15, 16/100, 1/5

Step-by-step explanation:

Given the following question:

13%, 16/100, 1/5, 0.15, and 1/10

In order to find the answer to this question we can rewrite all the following fractions/percent into decimals and then compare.

\(\frac{16}{100} =16\div100=0.16\)
\(\frac{1}{5} =1\div5=0.2\)
\(\frac{1}{10} =1\div10=0.1\)
\(13=0.13\)

0.13, 0.16, 0.15, 0.2, and 0.1
0.1, 0.13, 0.15, 0.16, 0.2

1/10, 13%, 0.15, 16/100, 1/5

Hope this helps.

The amount of yard that has to be given to Laura is c) 500 m2

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information:

Total of money = 540 000

Laura's money = 300 000

Lets represent the amount of money Laura gave:

Laura's % = (300 000 / 540 000) * 100

Laura's % = 30/54 * 100

Laura's % = 5/9 * 100

Laura's % = 55.56%

The amount of yard should be for Laura is:

Laura's yard = Total yards area * Laura's %

Laura's yard = 900 m^2 * 55.56%

Laura's yard = 500 m^2

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The characteristic polynomial of a and b⁻¹ab is determined by their eigenvalues, so they must have the same characteristic polynomial.

To show that matrices a and b⁻¹(ab) have the same characteristic polynomial, we need to prove that they have the same eigenvalues.

Let λ be an eigenvalue of a, and let x be the corresponding eigenvector. This means that a*x = λ*x.

We want to show that λ is also an eigenvalue of b⁻¹ab. Let y = b⁻¹x.

Now, we have b⁻¹ab*y = b⁻¹ab*b⁻¹x = b^(-1)a*x = b⁻¹λ*x = λ*b⁻¹x = λ*y.

Therefore, λ is an eigenvalue of b⁻¹ab with the corresponding eigenvector y.

Since every eigenvalue of a corresponds to an eigenvalue of b⁻¹ab, and vice versa, a and b⁻¹ab have the same set of eigenvalues.

The characteristic polynomial of a and b⁻¹ab is determined by their eigenvalues, so they must have the same characteristic polynomial.

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Answer:

f(1) = 45

f(n) = f(n-1)*(4/5)

Step-by-step explanation:

f(1)

= 45(4/5)^(1-1)

= 45(4/5)^(0)          use law of exponents

= 45*1

= 45

f(1) = 45

f(n) = f(n-1)*(4/5)

Answer:

[11000, 11600]

Step-by-step explanation:

Give me Brainliest if that helped! :)

Answer:

nine minus x square

The required value of x is 22 degrees for the given figure.

Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.

As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:

According to the given figure, it can be written as follows:

2x + 24 + 6x - 20 = 180

8x + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Therefore, the required value of x is 22 degrees for the given figure.

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The complete question is as follows:

Find the value of x for the below figure.

Answer:

The answer is A. X=2

Step-by-step explanation:

Hope this helps :)

Step-by-step explanation:

Answe is A:×=2

because 7×2=14

14+4=17