Given f(x) = -9x - 1 and g(x) = 4x + 1, find (f.g)(x).

The geometric cumulative distribution function should be used.

The geometric cumulative distribution is a discrete likelihood conveyance where the random variable demonstrates the quantity of the Bernoulli trial expected to get the primary achievement. A Bernoulli trial is an experiment that can have just two potential results, ie., achievement or disappointment. All in all, in a mathematical dispersion, a Bernoulli trial is rehashed until a triumph is gotten and afterward halted. Here we are interested in the first success in the three chances, which is completely specified with the distribution function of a geometric distribution, and because the question asked for the probability of having a hand with five cards in the same suit in one of the first three hands. Hence the correct option is the cumulative distribution function.

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The total number of possibilities or independent variables in R4X4  is 1 + 1 + 1 + 1 = 4. Thus, the dimension of S is 4.
the total number of possibilities or independent variables in the subspace of R3×3 is 3 + 2 + 1 = 6. Hence, the dimension of S is 6.

The dimension of the subspace S of upper triangular matrices in R3x3 is 6.

To determine the dimension of the subspace S, we need to find the number of linearly independent vectors that span S.

In the case of upper triangular matrices in R3x3, we can observe that the entries below the main diagonal (including the diagonal) can be arbitrary values since they do not affect the upper triangular structure. Thus, we have:

The first row has 3 possibilities.

The second row has 2 possibilities (excluding the first entry).

The third row has 1 possibility (excluding the first and second entries).

Therefore, the total number of possibilities or independent variables is 3 + 2 + 1 = 6. Hence, the dimension of S is 6.

(b) The dimension of the subspace S of diagonal matrices in R4x4 is 4.

Explanation:

In the case of diagonal matrices in R4x4, all the entries outside the main diagonal are zero. Therefore, we have:

The first diagonal entry has 1 possibility.

The second diagonal entry has 1 possibility.

The third diagonal entry has 1 possibility.

The fourth diagonal entry has 1 possibility.

Hence, the total number of possibilities or independent variables is 1 + 1 + 1 + 1 = 4. Thus, the dimension of S is 4.

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Answer: probably 180 sorry if im wrong  i tried

Step-by-step explanation:

Answer:

y= - 9/5x +5

Step-by-step explanation:

Slope- intercept form:

Given line:

Perpendicular line to the given will have a slope of -1/m, which is - 9/5,

so the form of this line is:

This line passes through point (5, -4), plug in values of x and y, we find the value of b:

The required line is:

The sequence contains the reciprocals of consecutive integers. Let's denote the nth term of the sequence as a_n, so a_n = 1/(n+3).

As n increases, the denominator of a_n increases, so a_n decreases. Therefore, the sequence is decreasing.

To determine whether the sequence converges or diverges, we need to find its limit.

We can use the squeeze theorem to determine the limit. Let b_n = 1/n, and c_n = 1/(n+2). Then b_n > a_n > c_n for all n.

We know that lim b_n = 0, and lim c_n = 0, since both b_n and c_n are reciprocals of terms that go to infinity.

Therefore, by the squeeze theorem, lim a_n = 0.

So the sequence converges to 0.

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Answer:

1/8

Step-by-step explanation:

circle divided into 8ths

only one pointer

so 1/8 chance.

pls mark brainly

The "equivalent-expression" for the given expression "b²c⁵b¹ - 2c¹b²" is b²c(bc⁴ - 2).

An "Equivalent-Expression" is an expression which has the same-value as the original expression, but may look different. The two expressions are equivalent if they simplify to the same result.

We have to solve the expression : "b²c⁵b¹ - 2c¹b²",

To simplify this expression, we first combine the "like-terms" by adding the exponents of b and c;

= b²c⁵b¹ - 2c¹b²,

Now we add the exponents having the same-base;

= b²⁺¹c⁵ - 2b²c¹;

= b³c⁵ - 2b²c

= b²c(bc⁴ - 2).

Therefore, the required "equivalent-expression" is b²c(bc⁴ - 2).

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The given question is incomplete, the complete question is

Write an equivalent expression for the given expression "b²c⁵b¹ - 2c¹b²".

Answer:

The answer is D

Step-by-step explanation:

If you minus 8 for x on (2,3) and plus 2 to the y on (2,3) you get (-6,5).

The given series converges to the value 1/64.

Given a series Σ(k = 1 to ∞) k e^(-8k)

The convergence or divergence of the series has to be found using the integral test.

Find the value of the given integral.

Using the product rule :

\(\int\limits^{oo}_1 {xe^{-8x}} \, dx=[\frac{1}{-8} xe^{-8x}]-\int\limits^{oo}_1 {1.\frac{e^{-8x}}{-8} } \, dx\)

\(=[-\frac{1}{8} (xe^{-8x})-\frac{1}{64} e^{-8x}]\)

It is known that \(e^{-oo}=0\)

So,

= 0 - (-0-1/64)

= 1/64

Hence the series diverges and it diverges to 1/64.

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Given that there are 20 seats in the first row, 22 seats in the second row, 24 seats in the third row and so on till row 35. We need to find the total number of seats available to book. Sequence: We can observe that the number of seats is increasing by 2 for every successive row.

Therefore, the sequence follows an arithmetic progression with first term a=20, common difference d=2 and number of terms n=35. The nth term of an AP can be given as: an=a+(n-1)d where a is the first term and d is the common difference. Therefore, the 35th term of the sequence is:a35 = 20 + (35-1)2 = 20 + 68 = 88 Now, the sum of n terms of an AP can be given as: Sn = n/2[2a+(n-1)d]

We can substitute the given values: n=35,

a=20,

d=2Sn

= 35/2[2*20 + (35-1)*2]

= 35/2[40 + 68]

= 35/2 * 108

= 1890 seats Therefore, the total number of seats available to book is 1890 seats. The total number of seats available to book is 1890. The given sequence is an arithmetic progression with the first term a=20, common difference d=2 and number of terms n=35.

The nth term of the sequence is given by a35 = 20 + (35-1)2

= 88.

Using the formula for the sum of n terms of an arithmetic progression, we get the total number of seats available to book as Sn = 35/2[2*20 + (35-1)*2]

= 1890 seats.

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Answer:35

Step-by-step explanation:

The volume of a cylinder is calculated by multiplying the area of its base by its height. The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height.

The volume of a cone is calculated by multiplying the area of its base by its height and then dividing by 3. The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height.

Since Sonequa’s two containers have equal radii and equal heights, it can be concluded that the volume of the cylinder is three times the volume of the cone. This means that if Sonequa fills the cone with water and pours it into the cylinder, she will need to repeat this process three times to fill the cylinder completely.

So, the claim that is most likely to be supported using the result of Sonequa’s investigation is: “The volume of a cylinder with the same radius and height as a cone is three times greater than the volume of the cone.”

We have to solve all of the parts of the given problem using our understanding of a sample and a population. It is given below.

A sample is taken when you want to take data from a specific set and then make observations based on that. A population is, on the other hand, the complete set that you want to make your observations from.

In the given problem -

A. To find how many books are published in one week by a famous publishing company - We are going to use a sample because we need to observe under s set category - one week.

B. To test a new drug produced by a biotech company - We are going to use a population because we need to monitor all individuals who take this drug.

C. To find the number of men and women working in an IT company with 600 people - We use a population here because we are going to use the data of all the people in the company.

D. To estimate the average salary of doctors in California - We use a sample here because the set category is California.

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Answer:

28

Step-by-step explanation:

Hope this helps!

Answer:

1,848 divided 66 = 28

Step-by-step explanation:

here your answer

Answer:

43 p

Step-by-step explanation:

total cost = 10 - 4.84 = 10.00 - 4.84 = £5.16

b + t = 5.16

t = 11b

b + 11b = 5.16

12b = 5.16

12 / 12 b = 5.16/12

b = £0.43

The population of Australia in 2000 is estimated to be 19.438 million.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

The population in 1980 = 14.692 million

The population in 1990 = 17.065 million

The change in the population from 1980 to 1990:

= 17.065 - 14.692

= 2.373

This means in 10 years there is an increase of 2.373 million.

The population estimated in 2000:

= 17.065 + 2.373

= 19.438 million

Thus,

The population of Australia in 2000 is estimated to be 19.438 million.

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115.

The point estimate for the average IQ score of the population of 3000 college students based on a simple random sample of 150 students with an average IQ score of 115 and a standard deviation of 10 is 115.

Therefore, the correct option is 115.

A point estimate is an estimate of a population parameter based on a single value or point. It is obtained by using statistics collected from a sample to infer population values. It can be a single value or a range of values that best represents the unknown population parameter.

Based on the given information, a simple random sample of 150 students is drawn from a population of 3000 college students.

Among sampled students, the average IQ score is 115 with a standard deviation of 10. The point estimate, in this case, is the average IQ score of the population, which is estimated to be 115 based on the sample data.

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If the corners of the kitchen are (8, 4), (−3, 4), (8, −8), and (−3, −8), the area of the kitchen is 132 square feet. So, the correct option is C.

To find the area of the rectangular kitchen, we need to use the formula for the area of a rectangle, which is A = L x W, where A is the area, L is the length, and W is the width.

From the given ordered pairs, we can determine the length and width of the rectangle. The length is the distance between the points (8,4) and (-3,4), which is 8 - (-3) = 11 feet. The width is the distance between the points (8,4) and (8,-8), which is 4 - (-8) = 12 feet.

Now that we know the length and width, we can find the area by multiplying them together:

A = L x W = 11 x 12 = 132 square feet

Therefore, the correct answer is C.

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Answer    C. 132 fT2  

Step-by-step explanation:

The angle of elevation of Bugs Bunny's climb is approximately 13.8 degrees.

To find the angle of elevation of Bugs Bunny's climb, we can use trigonometry. The angle of elevation can be calculated as the inverse tangent (arctan) of the ratio of the vertical distance (100,100) to the horizontal distance (42,4242).

The angle of elevation (θ) can be found using the formula: θ = arctan(vertical distance / horizontal distance).

In this case, the vertical distance is 100,100 meters and the horizontal distance is 42,4242 meters.

θ = arctan(100100 / 424242)

Using a calculator, we can find the value of the angle of elevation.

θ ≈ 13.8 degrees

Therefore, the angle of elevation is approximately 13.8 degrees.

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Answer:f=103.444

Step-by-step explanation:

took this test and got an A++

The value of the function \(f(x)=7+2x\)  for \(f(7)\) is 21.

The given functions are \(f(x)=7+2x\) and \(g(x)=5x-2\).

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

To find \(f(7)\), substitute \(x=7\) in \(f(x)=7+2x\), we get

\(f(7)=7+2(7)\)

\(f(7)=21\)

Therefore, the value of the function \(f(x)=7+2x\)  for \(f(7)\) is 21.

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The probability of selecting none of the correct six integers is

approximately 0.436 or 43.6%.

There are a total of \($\binom{40}{6}$\) possible ways to choose 6 integers from 40

without regard to order.

To find the probability of selecting none of the correct six integers, we

need to count the number of ways to choose 6 integers that are not

among the correct six, and then divide by the total number of possible

choices.

The number of ways to choose 6 integers from the 34 incorrect ones is \($\binom{34}{6}$\).

Therefore, the probability of selecting none of the correct six integers is:

\(\frac{34! 6 ! 34}{40! 6 ! 28 } = \frac{34\times 33\times 32\times31\times30\times29}{40\times39\times38\times37\times36\times35} = 0.436\)

Therefore, the probability of selecting none of the correct six integers is

approximately 0.436 or 43.6%.

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Answer:

5/10

Step-by-step explanation:

.5 is in the tenths place

so the bottom number (denominator) would be 10

C. rely too much on expectations of a respondent's memory precision

Open-ended questions that ask respondents to recall specific data rely too much on expectations of a respondent's memory precision.What are open-ended questions?Open-ended questions are questions in which respondents are free to answer with any appropriate or related details. These kinds of questions do not have a specific set of answers. Open-ended questions ask respondents to use their experience and knowledge to provide detailed, personal responses.

What are closed-ended questions?Closed-ended questions are questions that have a predetermined set of responses. A respondent must pick one of the provided options rather than providing a lengthy answer. A multiple-choice question is an example of a closed-ended question.When it comes to surveys, both types of questions have a place. However, open-ended questions that ask respondents to recall specific data rely too much on expectations of a respondent's memory precision. Open-ended questions may ask respondents to provide a story or personal narrative that relates to the survey topic, but they should not be used to collect specific data.

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We want to find two points that belong to the line

The easiest points to calculate are the intercepts. The x-intercept happens when y = 0, to find the corresponding x-value we just need to evaluate y = 0 on the expression for our line.

The x-intercept is (-0.25, 0).

Analogously, for the y-intercept(that happens at x = 0), we have

The y-intercept is (0, -1).

Two points that belongs to this line are (-0.25, 0) and (0, -1).

The graph of this line is

The volume of the pot is = 731.2 cubic inches.

Each thing in three dimensions takes up some space. The volume of this area is what is being measured.

The space occupied within an object's borders in three dimensions is referred to as its volume.

It is sometimes referred to as the object's capacity.

Finding an object's volume can help us calculate the quantity needed to fill it, such as the volume of water needed to fill a bottle, aquarium, or water tank.

Since the forms of various three-dimensional objects vary, so do their volumes.

According to our answer-

volume of a pot is = πr²h + 2πr³

22/7 * 698/3

731.2 cubic inches

Hence, The volume of the pot is = 731.2 cubic inches.

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The table has a greater rate of change.

The rates of change are equal.

In the given problem, we have a table showing the relationship between x and y values. By comparing the change in y with the change in x, we can determine the rate of change. Looking at the table, we observe that for every increase of 1 in x, there is a corresponding increase of 1 in y. Therefore, the rate of change for this table is 1.

The slopes are equal.

The equation has a greater slope.

In problem 2, we are given a linear equation in the form y = mx + b, where m represents the slope. The given equation is y = 2x + 7, which means the slope is 2. To compare the rates of change, we compare the slopes. If the slopes are equal, the rates of change are equal. In this case, the slopes are equal to 2, so the rates of change are the same.

The function rule has a greater slope.

The slopes are equal.

In problem 3, we are told that as x increases by 1, y increases by 3. This information gives us the rate of change between x and y. The slope of a function represents the rate of change, and in this case, the slope is 3. Comparing the slopes, we find that they are equal, as both have a value of 3. Therefore, the rates of change are the same.

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Answer:

h = 6.

Step-by-step explanation:

The 2 triangles are similar

So h / 9 = 4 / h

h^2 = 4*9 = 36

h = 6.

To determine the probability that a man and woman getting married both have at least a bachelor's degree, we need to make certain assumptions.

Firstly, we must assume that the probability of a man having at least a bachelor's degree is independent of the probability of a woman having at least a bachelor's degree. Additionally, we must assume that the population of men and women with at least a bachelor's degree is representative of the population of all married couples.
Assuming these conditions are met, we can estimate the probability of a man having at least a bachelor's degree as well as the probability of a woman having at least a bachelor's degree using data from the relevant population. We can then calculate the joint probability of both events occurring simultaneously by multiplying the probabilities of each event. Without data, it is difficult to provide an exact probability. However, according to the U.S. Census Bureau, as of 2019, approximately 35% of the U.S. population aged 25 and older have at least a bachelor's degree. Therefore, assuming that the probabilities are independent, the probability of a man having at least a bachelor's degree is approximately 0.35, and the probability of a woman having at least a bachelor's degree is also approximately 0.35.
Multiplying these probabilities together, we get an estimated probability of 0.1225 or 12.25% chance that a man and woman getting married both have at least a bachelor's degree. However, it's important to remember that this is only an estimate and may not hold true for all populations or regions.

To determine the probability that a man and a woman getting married both have at least a bachelor's degree, we need to make some assumptions and use the concept of probability.
Assumptions:
1. The probability of a man having a bachelor's degree is independent of the probability of a woman having a bachelor's degree.
2. We know the probabilities of a man and a woman having a bachelor's degree in the given population.
Let P(M) be the probability of a man having a bachelor's degree, and P(W) be the probability of a woman having a bachelor's degree. To find the probability of both the man and the woman having a bachelor's degree, we simply multiply these two probabilities:
P(both have bachelor's degree) = P(M) * P(W)
So, the probability that a man and a woman getting married both have at least a bachelor's degree depends on the individual probabilities of a man and a woman having a bachelor's degree in the population under consideration.

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Answer:

7/10 %

Step-by-step explanation: