8
Which of the following is a composite number between 80 and 100?
OA. 81
OB. 89
OC. 83
OD. 97

To develop a random-variate generator for the random variable X with the probability density function (PDF) f(x) = e^(-2x) for x >= 0, we can use the inverse transform method to generate random variates. The method involves finding the inverse of the cumulative distribution function (CDF) and applying it to random numbers generated from a uniform distribution.

The first step is to find the CDF of the random variable X. Integrating the PDF f(x) = e^(-2x) with respect to x, we obtain F(x) = 1 - e^(-2x).

Next, we need to find the inverse of the CDF, which is x = -ln(1 - F(x))/2.

To generate random variates for X, we generate random numbers u from a uniform distribution between 0 and 1. Then, we apply the inverse of the CDF: x = -ln(1 - u)/2.

By repeating this process, we can generate as many variates as needed. For example, if we want to generate 10 variates, we repeat the steps 10 times, generating 10 random numbers u and calculating the corresponding variates x using the inverse of the CDF.

Using this method, we can generate random variates that follow the given PDF f(x) = e^(-2x) for x >= 0.

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Answer:

34%

Step-by-step explanation:

Answer:

A) 34%

Step-by-step explanation:

Lets say that the price of this object was $100.

Then, we know that each week the price is reducing by 10%, so therefore, we take 10% of $100, and we have $10

If we subtract that from $100, ($100-$10), we find that the price has come down to $90 after the first reduction in the first week. We will now do this process three more times to get to the four weeks total.

10% of $90 dollars is 9 dollars, so therefore the price reduces to $90-$9, $81 after the second reduction in the second week.

Then we take 10% of $81 and then get $8.1. We subtract that from $81 and get  $72.9

Then for the final reduction in the fourth week, we take 10% of $72.9, and we get $7.29. Take that from $72.9, and you get $65.61, which we can round to $66.

The question however asks how much was the approximate percantage in decresse over the 4 weeks. We see that the object went from $100 to $66, which is $34 decrease.

Now we simply find what percantage of $100 is $34, and that is 34%, which gives you option A.

Hope this helped.

Answer:

We have the final answer as

Step-by-step explanation:

Area of a parallelogram = base × height

Since we are finding the base ,

\(base = \frac{area}{height} \\ \)

From the question

area = 1274 km²

height = 35 km

The base of the parallelogram is

\(base = \frac{1274}{35} = \frac{182}{5} \\ \)

We have the final answer as

Hope this helps you

Answer:

36.4km

Step-by-step explanation:

Area = base * height

We are solving for the base

1274 = b * 35

1274 = 35b

1274/35 = 35b/35

36.4 = b

Best of Luck!

The basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

The given piecewise-defined function f(x) has different expressions for different intervals. For x greater than or equal to zero, f(x) takes the value of x. For x less than zero, f(x) is equal to -x. We need to find a basic function that captures this behavior.

Among the options provided, f(x) = |x| is equivalent to the given piecewise function. The absolute value function, denoted by |x|, returns the positive value of x regardless of its sign. When x is non-negative, |x| equals x, and when x is negative, |x| is equal to -x, mirroring the conditions of the piecewise-defined function.

The function f(x) = |x| represents the absolute value of x and matches the behavior of the given piecewise-defined function, making it the equivalent basic function.

In summary, the basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

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The Integral test, which is also known as Cauchy's criterion, is a method that determines the convergence of an infinite series by comparing it with a related definite integral.

In a series, the terms can either be decreasing or increasing. When the terms are decreasing, the Integral test is used to determine convergence, whereas when the terms are increasing, the Integral test can be used to determine divergence. For example, consider the series\[S = \sum\limits_{n = 1}^\infty {\frac{{\ln (n + 1)}}{{\sqrt n }}} \]. Now, we'll apply the Integral test to determine the convergence of the above series. We first represent the series in the integral form, which is given as\[f(x) = \frac{{\ln (x + 1)}}{{\sqrt x }},\] and it's integral from 1 to infinity is given as \[I = \int\limits_1^\infty {\frac{{\ln (x + 1)}}{{\sqrt x }}} dx\]. Next, we'll find the integral of f(x), which is given as \[I = \int\limits_1^\infty {\frac{{\ln (x + 1)}}{{\sqrt x }}} dx\]\[u = \ln (x + 1),\] so, the equation can be rewritten as \[I = \int\limits_0^\infty {u^2 e^{ - 2u} du}\]\[I = \frac{1}{{\sqrt 2 }}\int\limits_0^\infty {{y^2}e^{ - y} dy}\]\[I = \frac{1}{{\sqrt 2 }}\Gamma (3)\]. The given series [infinity] 3 cos(n) n n = 1 is a converging series because the Integral test is applied to determine its convergence.

The Integral test helps to determine the convergence of a series by comparing it with a related definite integral. The Integral test is only applicable when the terms of the series are decreasing. If the series fails the Integral test, then it's necessary to use other tests to determine the convergence or divergence of the series. The Integral test is a simple method for determining the convergence of an infinite series. Therefore, the series [infinity] 3 cos(n) n n = 1 is a converging series. The Integral test is applied to determine the convergence of the series and it is only applicable when the terms of the series are decreasing.

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Answer:

Step-by-step explanation:

thx

The mathematical equation that represents the area of a circle as the product of pi/4 and the square of the diameter is:

A = π/4 × d^2

where A is the area of the circle, π is the mathematical constant pi, d is the diameter of the circle.

The area of a circle is the amount of space that is enclosed by the circle's boundary. It is given by the formula A = πr^2, where r is the radius of the circle. However, the diameter is simply twice the radius, so we can substitute d = 2r into the formula to obtain A = π(2r)^2/4 = π/4 × d^2, which is the desired equation.

This formula can be used to calculate the area of a circle given its diameter.

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To determine the number of sets of five marbles that include either the lavender one or exactly one yellow one but not both colors, we will consider two scenarios: one with the lavender marble and one with a single yellow marble.

1. Lavender marble scenario: If a set includes the lavender marble, there are 4 more marbles to choose. Assuming there are n-1 marbles remaining (excluding the lavender and yellow marbles), we can select 4 marbles out of (n-1) using the combination formula: C(n-1, 4).

2. Single yellow marble scenario: If a set has exactly one yellow marble, let's assume there are y yellow marbles (excluding the lavender marble). We can choose 1 yellow marble in C(y, 1) ways. Then, we need to choose 3 more marbles out of the remaining n-2 (excluding the lavender and the chosen yellow marble) in C(n-2, 3) ways. So, the total number of ways in this scenario is C(y, 1) * C(n-2, 3).

Combining both scenarios, the total number of sets is C(n-1, 4) + C(y, 1) * C(n-2, 3). This expression gives the number of sets of five marbles that include either the lavender one or exactly one yellow one but not both colors.

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Answer:

see below

Step-by-step explanation:

P( yellow) = number of yellow sections / total sections

                 = 4/20

                   1/5

                  20%

Answer:

a.

4 out of 20

1/5

or 20%

b.  The probability may not be as much as the other colors on the wheel depending on how many colors and how many sections of each. You have a 20% chance out of all colors to get the color yellow.

Answer:

40%

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

To convert 2/5 to a percent, we need the denominator to be 100 .

2/5 = 40/100

Now that you have have a denominator equal to 100, just look at the numerator.

40% or 0.4

Answer:

Given ABCD ~ EFGH

FG = BC(EF/AB)

FG = 7(9/6)

FG = 63/6

FG = 10.5

GH = CD(EF/AB)

GH = 11(9/6)

GH = 99/6

GH = 16.5

EH = AD(EF/AB)

EH = 12(9/6)

EH = 108/6

EH = 18

the answer is, the number of packages of corn purchased

Answer:

C. The number of packages of corn purchased.

Step-by-step explanation:

We have been given that a store sells four 1 1/8-pound ears of corn in a package for $3.59. The expression represents the cost of the corn for a number of packages.

Since the cost of each package of corn is $3.59 and represents the cost of 'p' packages of the corn. So 'p' represents the number of packages of corn purchased.

The graph of the parent absolute value function is decreasing over the interval (-∞, 0). The function exhibits a decreasing behavior as x moves from negative infinity towards zero, where the absolute value decreases.

The parent absolute value function is defined as f(x) = |x|. To determine where the graph of this function is decreasing, we need to identify the intervals where the function's slope is negative.

Let's analyze the behavior of the parent absolute value function:

For x < 0, the function can be rewritten as f(x) = -x. In this interval, the function is a linear function with a negative slope of -1. As x decreases, f(x) also decreases, indicating a decreasing behavior.

For x > 0, the function remains f(x) = x. In this interval, the function is a linear function with a positive slope of 1. As x increases, f(x) also increases, indicating an increasing behavior.

At x = 0, the function is not differentiable since the slope changes abruptly from negative to positive. However, it is worth noting that the function does not strictly decrease or increase at x = 0.

Therefore, we can conclude that the graph of the parent absolute value function is decreasing over the interval (-∞, 0).

In this interval, as x moves from negative infinity towards zero, the function values decrease. The farther away x is from zero (in the negative direction), the larger the absolute value, resulting in a decrease in the function values.

On the other hand, the graph of the parent absolute value function is increasing over the interval (0, ∞), as explained earlier.

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The critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance is 10.76.

The critical value can be determined using a statistical table.

The degrees of freedom for the blocks is 4 (df_b = 5 - 1 = 4) and for the treatments is 2 (df_t = 3 - 1 = 2).

The critical value for a 5% level of significance is 10.76.

This value can be found in the statistical table given in the textbook.

The critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance can be calculated by using the F-test statistic.

The F-test is used to compare the variance between the blocks (SSBL) and the variance between the groups (SSB).

The F statistic is calculated by dividing the variance between the blocks (SSBL) by the variance between the groups (SSB).

In this case,

The F statistic is 3738/1048.93 = 3.56.

The critical value for a 5% level of significance can be found using a statistical table.

According to the table,

The critical value for an F statistic of 3.56 with four degrees of freedom in the numerator and four degrees of freedom in the denominator is 10.76

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The  balloon's vertical distance above the ground is 300.19 feet.

What is angle of depression?

If the line of sight is directed downward from the horizontal line, then an angle is created with the horizontal line. The angle produced between the horizontal line and the observer's line of sight is known as the angle of depression if the object being observed is below the observer's level.

Given that a balloon make 22° angle with a fixed point. The horizontal distance of the balloon along the ground is 743 feet.

Here need to find the vertical distance.

To find the vertical distance, use tangent of 22°. The tangent of angle is the ratio of vertical distance to horizontal distance.

Therefore,

tan 22° = vertical distance/ horizontal distance

tan 22° = vertical distance/ 743

Multiply both sides by 743:

vertical distance = 743 × tan 22°

vertical distance = 300.191

vertical distance = 300.19 ( rounding to the nearest hundredth)

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Answer:

No

Step-by-step explanation:

Una ecuación lineal es una igualdad matemática entre dos expresiones algebraicas, denominadas miembros.

Esta solo tiene  nuo

The 10 breeding pairs of spotted owls in Cascade National Park studied by the researcher represent a selected sample. So, the correct answer is A)

The 10 breeding pairs of spotted owls represent a selected sample.

A sample is a subset of a larger population that is chosen for research or study purposes. In this case, the researcher is interested in studying the disappearance of spotted owls from northwestern forests, but it would be impractical to study the entire population of spotted owls in the region.

Therefore, the researcher selected a smaller group of 10 breeding pairs in Cascade National Park as a representative sample to study over the course of one year. The selected sample may help the researcher to draw conclusions about the population of spotted owls in the region. So, the correct option is A).

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--The given question is incomplete, the complete question is given

" a researcher is interested in the disappearance of spotted owls from northwestern forests. she studies 10 breeding pairs of spotted owls in cascade national park for one year. the 10 breeding pairs are the: group of answer choices

selected sample

snowball sample  

stratified sample

target population"--

The volume of a cinder cone volcano will be 110872040 cubic feet.​

The volume of a cone is defined as the amount of space occupied by a cone in a three-dimensional plane.

The volume of the cone (V) = 1/3 πhr²

Given,

Radius of cone (r) = 1100/2 = 550 feet

Height of cone (h) = 350 feet

The volume of a cinder cone volcano = 1/3 πhr²

Substitute the values of h and r,

The volume of a cinder cone volcano = 1/3 × 3.14× (550)² × (350)

The volume of a cinder cone volcano = 110872040 cubic feet.​

Thus, the volume of a cinder cone volcano will be 110872040 cubic feet.​

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The definite integral for the area of the surface generated by revolving the curve y = 6x^3 + 2x about the x-axis, over the interval 1 ≤ x ≤ 2, can be set up and evaluated as follows:

∫[1 to 2] 2πy √(1 + (dy/dx)^2) dx

To calculate dy/dx, we differentiate the given equation:

dy/dx = 18x^2 + 2

Substituting this back into the integral, we have:

∫[1 to 2] 2π(6x^3 + 2x) √(1 + (18x^2 + 2)^2) dx

Evaluating this definite integral will provide the surface area generated by revolving the curve about the x-axis.

b) The definite integral for the area of the surface generated by revolving the curve x = 4y - 1 about the y-axis, over the interval 1 ≤ y ≤ 4, can be set up and evaluated as follows:

∫[1 to 4] 2πx √(1 + (dx/dy)^2) dy

To calculate dx/dy, we differentiate the given equation:

dx/dy = 4

Substituting this back into the integral, we have:

∫[1 to 4] 2π(4y - 1) √(1 + 4^2) dy

Evaluating this definite integral will provide the surface area generated by revolving the curve about the y-axis.

By setting up and evaluating the definite integrals for the given curves, we can find the surface areas generated by revolving them about the respective axes. The integration process involves finding the appropriate differentials and applying the fundamental principles of calculus.

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The clearinghouse and research middle on servant management is now called c. The Greenleaf Center for Servant Leadership.

The middle turned into named after Robert K. Greenleaf, who first brought the idea of servant leadership in his essay "The Servant as Leader" published in 1970. The Greenleaf Center for Servant Leadership serves as a worldwide useful resource for promoting the knowledge and exercise of servant leadership.

It conducts studies, provides educational applications, and gives a platform for individuals and businesses to study and interact with servant management ideas. The middle's recognition is on nurturing moral and compassionate management that prioritizes the nicely-being and growth of individuals and the groups they serve. Through its initiatives, the Greenleaf Center pursuits to inspire and empower leaders to create a superb and impactful exchange by embracing the servant management philosophy.

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The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership.

The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership. It is a nonprofit organization that was founded in 1964 by Robert K. Greenleaf. The center is dedicated to promoting the principles of servant leadership, which emphasizes serving others and putting their needs first.

The Greenleaf Center conducts research, provides resources and training, and serves as a hub for individuals and organizations interested in servant leadership.

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Answer: His overall budget is $5000

Step-by-step explanation:

Based on the given probabilities, we can determine the value of P(A ∩ B), which represents the probability of both events A and B occurring simultaneously. To calculate this, we use the formula:

P(A ∩ B) = P(A) + P(B) - P(A or B)

Substituting the given values, we have:

P(A ∩ B) = 0.35 + 0.60 - 0.80

P(A ∩ B) = 0.95 - 0.80

P(A ∩ B) = 0.15

Therefore, the correct answer is: P(ANB) = 0.15. This means that the probability of both events A and B occurring together is 0.15.

The statement "A and B are mutually exclusive" is incorrect because if A and B were mutually exclusive, it would mean that they cannot occur at the same time, and thus P(A ∩ B) would be 0.

However, since P(A ∩ B) = 0.15, we can conclude that A and B are not mutually exclusive.

The statement "P(ANB) = 0.35" is also incorrect. The correct value is P(ANB) = 0.15.

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Answer: 12

Step-by-step explanation:

Answer:

$3.49 each

Step-by-step explanation:

20.94 divided by 6 is 3.49

mark as branlist plz

Answer:

10

Step-by-step explanation:

friend chicked for life

Answer:

a) P(X=x) = p× (1-p)^(x-1)

b) P(X=3) = 0.081

c) P(X≤5) = 0.40951

d) Mean of X= 10

e) Var(X)= 90

Step-by-step explanation:

This is a question on geometric distribution.

In geometric distribution, we have two possible outcomes for each trial (success or failure) for independent number of binomials series trial. Also the probability of success is constant for each trial.

This discrete probability distribution is represented by the probability density function: f(x) = p× (1-p)^(x-1)

For a random variable with a geometric distribution, we do not know the number of trials we will have = {1, 2, 3, ...}

We stop the trials when we get a success.

From the question, there are 10 numbers

The probability of success = p = 1/10

For the solutions of the question from (a-e), See attachment below.

f(x) = P(X= x)

Where P(X= x) is the probability of X taking on a value x