Here is a probability densityfunction:f(x) = 2/9x , 0≤x≤ 3Generate a random number fromthis density using us = 0.127. Show yourwork!

Answer:

No, it will be less than 15.1

Step-by-step explanation:

It will be less than 15.1 because you are multiplying 15.1 by a number that is less than 1, so the product will be less than 15.1.

Therefore , the solution of the given problem of function comes out to be  f(g(x)) = x\(X^{2}\)−4\(X^{2}\)−28x−32/(x−4)

Each x value in the domain has one but only one y value range, according to the rule of a function. Definition. If there is only one and only one value of x such that f(x) = y, then the function is one-to-one

Here,

Given : f(x) =X² - 8x+16/2 + 2x

g(x) =(6x)/(x-4)

To find the f(g(x)) :

=> f(g(x)) = f(6x/(x-4))

=>  f(6x/(x-4)) =  (6x/(x-4) )^2 - 8((6x)/(x-4)) +16/2 + 2(6x)/(x-4)

=>  f(6x/(x-4)) = 36\(x^{2}\)/ ( \(x^{2}\)+ 16 - 8x) - 36\(x^{2}\)/(x+4) +8

=> f(6x/(x-4)) = x\(X^{2}\)−4\(X^{2}\)−28x−32/(x−4)

Therefore , the solution of the given problem of function comes out to be  

f(g(x)) = x\(X^{2}\)−4\(X^{2}\)−28x−32/(x−4)

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SOLUTION

From this question, we can see that the Provost randomly selected 3 members from each department, which means the entire people in the faculty were grouped in a homogenous group which is "the departments" and 3 were then randomly selected from each homogenous group. Such type of sampling in which an entire population is divided into homogeneous groups and random samples are then taken from each group is know as Stratified random sampling.

Hence, the 4th option (Stratified sampling) is the correct answer.

Answer:

Step-by-step explanation:

y=mx+b

m = 5

x = 7

b = 4

Substitute the values into the above expression and simplify to solve for y

That's

y = 5(7) + 4

y = 35 + 4

We have the final answer as

y = 39

Hope this helps you

The odd numbers that are less than 20, in order, are listed as follows:

1, 3, 5, 7, 9, 11, 13, 15, 17, 19.

Hence Brian's claim that only even numbers are composite is false, as the numbers 3 and 5 on this list are composite, and they are odd numbers.

Odd numbers are numbers that are not divisible by 2, hence they are numbers that have the last digit as follows:

1, 3, 5, 7 or 9.

Then the odd numbers less than 20 are listed as follows:

1, 3, 5, 7, 9, 11, 13, 15, 17, 19.

Composite numbers are numbers that have more than two factors, that is, numbers that are not prime.

From the listed numbers, we have that:

Hence it can be proven by contradiction that Brian's claim is false, as we showed two examples of odd numbers that are composite numbers.

Brian's claim is that only even numbers are composite.

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Answer:

40

Step-by-step explanation:

We know there are 16 oz in a pound

We can use ratios

15             x

-----  = ----------

6 oz       16 oz

Using cross products

15 * 16 = 6x

240 = 6x

divide by 6

240/6 = 6x/6

40 =x

Answer:

no Luke is not correct.

Step-by-step explanation:

\(4r + 5 + 2r \\ colecting \: like \: terms \: \\ 4r + 2r + 5 \\ 6r + 5\)

Answer:

Luke is wrong because 4r + 5 + 2r = 6r+5.

You can only add numbers with the same variable, 4r and 2r have the same variable so they can be added while 5 does not have a variable, this means it cannot be added to 4r and 2r.

Step-by-step explanation:

4r + 5 + 2r

4r + 2r + 5

6r + 5

Answer:

a-9=20

a=20+9

a=29

b-9>20

b>29

Answer:

for ponits

Step-by-step explanation:

There are 12 weeks will Sonja's balance remain above $377.

What is account balance?

The balance is the sum owed on an account in banking and accounting. The term "balance" in bookkeeping refers to the difference between the total of debit entries and the total of credit entries made into an account over the course of a given financial period. The account shows a debit balance when total debits exceed total credits.

Given:

Sonja has a bank account balance of $1400. Each week, her balance changes by -$85.25. She wants to keep the balance above $377.

We have to find the number of  weeks will Sonja's balance remain above $377.

Let, $1400 - $377 = $1023.

⇒  $1023 / $85.25 = 12

Hence, there are 12 weeks will Sonja's balance remain above $377.

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Answer: D.

Step-by-step explanation:

You can start out with the form AX = B and solve for matrix X that would yield the answer

Then X = (A^-1)(B)

A = [1    -1]

      [1     1]

A^-1 = (1/(1 - (1)(-1)))*[1    1]

                             [-1   1]

which can be written as (1/2) * [1    1]

                                                  [-1   1]

B = [26]

     [6]

(A^-1)(B) = (1/2)*[1    1] [6]

                        [-1   1] [26]

= (1/2)*[32]

          [20]

= [16]

  [10]

Answer:

580m^2

Step-by-step explanation:

600m^2 -20m=580m^2

The population mean is greater than $12.5, assuming that we know the population standard deviation is equal to 6.75.

To test whether we can infer at the 5% significance level that the mean fee for car washers (including tips) is greater than $12.5, we need to perform a one-sample t-test with the following hypotheses:

Null hypothesis: μ ≤ $12.5

Alternative hypothesis: μ > $12.5

We will use a t-distribution with degrees of freedom (df) equal to n-1 = 15-1 = 14.

The test statistic is given by:

t = (x - μ) / (s / sqrt(n))

where x is the sample mean, s is the sample standard deviation, and n is the sample size.

Substituting the given values, we get:

t = (14.9 - 12.5) / (6.75 / sqrt(15)) = 2.28

The critical value for a one-tailed test with α = 0.05 and df = 14 is 1.761. Since our calculated t-value (2.28) is greater than the critical value (1.761), we reject the null hypothesis and conclude that we can infer at the 5% significance level that the mean fee for car washers (including tips) is greater than $12.5.

To test whether we can infer at the 5% significance level that the population mean is greater than $12.5, assuming that we know the population standard deviation is equal to 6.75, we need to perform a z-test with the following hypotheses:

Null hypothesis: μ ≤ $12.5

Alternative hypothesis: μ > $12.5

We will use a standard normal distribution.

The test statistic is given by:

z = (x - μ) / (σ / sqrt(n))

where σ is the population standard deviation, which is given as 6.75.

Substituting the given values, we get:

z = (14.9 - 12.5) / (6.75 / sqrt(15)) = 2.28

The critical value for a one-tailed test with α = 0.05 is 1.645. Since our calculated z-value (2.28) is greater than the critical value (1.645), we reject the null hypothesis and conclude that we can infer at the 5% significance level that the population mean is greater than $12.5, assuming that we know the population standard deviation is equal to 6.75.

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Answer:

turn pls

Step-by-step explanation:

Answer:

(i) 90°

(ii) CÔD

(iii) AÔD = 110°

(iv) 180°

(v) AÔD

(vi) AÔB

Step-by-step explanation:

Two angles are said to be complementary if they add up to 90°.

Complementary angles can either be adjacent or non-adjacent.

Two Angles are said to be supplementary if they add up to 180°.

Complementary angles can either be adjacent or non-adjacent.

(i) BÔC + CÔD = 25 + 65 = 90°

(ii) BÔC = 25°

Therefore the complementary angle measures 90 - 25 = 65°

So the complement of BÔC is CÔD

(iii) AÔD = 20 + 25 + 65 = 110°

(iv) AÔD + DÔE = 110 + 70 = 180°

(v) DÔE = 70°

Therefore the supplementary angle measures 180 - 70 = 110°

So the supplement of DÔE is AÔD

(vi) DÔE = 70°

Therefore the complementary angle measures 90 - 70 = 20°

So the complement of DÔE is AÔB

#1

#2

Let the complement be x

#3

#4

#5

Answer:

3

Step-by-step explanation:

edge 2022

Answer:

your question is multiple choice question or just the correct or director answer so you tell your so that I can do in easy way

Answer:

it is 99 pounds

Step-by-step explanation:

they're making it sound false but really is 99 pounds I searched it up

Answer:

29 degrees

Step-by-step explanation:

Given

<D = 2x+8

<A = 122

The sum of the adjacent angle of the trapezoid is 180 degrees

<D + <A = 180

2x + 122 = 180

2x = 180-122

2x = 58

x = 58/2

x = 29 degrees

Hence the value of x is 29 degrees

Answer:

25.45584...

Step-by-step explanation:

The length of the hypotenuse can be found using the pythagorean theorem: \(a^{2} +b^{2} =c^{2}\) So in this situation, the solution can be found by solving \(\sqrt{2(18)^{2} }\)

Answer:

D is the correct answer.

The required GCF is 8.

The greatest common factor is that greatest number from the factors which divides the number completely.

For example take numbers 12 and 16.

The factors of 12 are 2×2×3.

And the factors of 16 are 2×2×2×2.

We can clearly see that the common factors are 2×2 which gives 4. So, 4 is the greatest common factor which divides both 12 and 16.

Here it is given to find the greatest common factor of 16 and 40.

Factors of 16 = 2×2×2×2

Factors of 40 = 2×2×2×5

We can see clearly the common factors are 2×2×2 which gives 8.

So, 8 is the greatest common factor.

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Answer:

144 in³

Step-by-step explanation:

i took the test

Answer:

144

Step-by-step explanation:

It is a rectangular region with u and v values ranging from 1 to 2.

To find the Jacobian of the transformation x = 3u, y = 2uv, we need to compute the partial derivatives ∂x/∂u, ∂x/∂v, ∂y/∂u, and ∂y/∂v.

Given:

x = 3u

y = 2uv

Calculating the partial derivatives:

∂x/∂u = 3

∂x/∂v = 0 (since x does not depend on v)

∂y/∂u = 2v

∂y/∂v = 2u

Now, we can construct the Jacobian matrix J:

J = [∂x/∂u   ∂x/∂v]

   [∂y/∂u   ∂y/∂v]

Substituting the partial derivatives we calculated earlier:

J = [3   0]

   [2v  2u]

Therefore, the Jacobian of the transformation is:

J = [3   0]

   [2v  2u]

To sketch the region described by the inequalities g: 3 < 3u < 6, 2 < 2uv < 4, we can consider the ranges of u and v that satisfy these conditions.

From the inequality 3 < 3u < 6, we have:

1 < u < 2

From the inequality 2 < 2uv < 4, we can divide both sides by 2:

1 < uv < 2

Since u and v must both be greater than 1, we can determine the range of v:

1 < v < 2

Now, we can sketch the region in the u-v plane bounded by the conditions:

1 < u < 2

1 < v < 2

It is a rectangular region with u and v values ranging from 1 to 2.

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The angular misclose for a three-sided traverse is - 1° 00' 00" and the format of the angular misclose for the given problem is (-01.0000).

The angular misclose in a three-sided traverse if the observed internal angles are:

A = 60° 00' 7",

B = 40° 00' 29", and

C = 80° 00' 18" is -1° 00' 00".

The angular misclosure of a traverse is the difference between the total sum of measured angles and the sum of the interior angles of a closed traverse.

The sum of the measured angles and the sum of the interior angles are compared to determine the accuracy of the survey.

A closed traverse is when you start at a point, travel in a closed loop, and return to the starting point.

Here's how to calculate the angular misclose for a three-sided traverse.

The sum of all internal angles of a triangle is 180°.

Thus: Sum of internal angles = A + B + C = 60° 00' 7" + 40° 00' 29" + 80° 00' 18" = 180° 00' 54"

Here, the sum of the internal angles is 180° 00' 54".

However, for a triangle, the sum of the interior angles must be 180 degrees.

Therefore, the difference is the angular misclose = 180° 00' 54" - 180° 00' 00" = 00° 00' 54".

The angular misclose is 00° 00' 54".

Since the internal angles sum is greater than 180 degrees, the sign of the misclose is negative.

Therefore, the angular misclose for a three-sided traverse is - 1° 00' 00".

Therefore, the format of the angular misclose for the given problem is (-01.0000).

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When multiplying fractions, multiply the numerator (top number), then the denominator (bottom number), and finally reduce to the lowest term if necessary.

Fractions are subsets of wholes. They are made up of a numerator (the number on top) and a denominator (the number on the bottom). The numerator represents the number of parts, while the denominator represents the total number of available parts.

To multiply two fractions, follow these three simple steps:

Step 1: Multiply the numerators of each fraction by themselves (the numbers on top). The answer's numerator is the result.

Step 2: Add the denominators of each fraction together (the numbers on the bottom). The answer's denominator is the result.

Step 3: Simplify or reduce your response.

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Answer:

diagram?

Step-by-step explanation:

Answer: display

Step-by-step explanation:

Answer:

33.33%

Step-by-Step Explanation:

the change is 1/3 and 1/3 of 100 is 33.33%

Answer:

Therefore any set of data that satisfies the 5-Number summary: 16,18,22,26 and 28 can be represented with the box plot.

Step-by-step explanation:

Interpreting Box Plots

We use a box plot to present the 5-Number summary of a set of data.

The values contained in the 5-Number summary are:

In the box plot, the following rules apply:

Using these, we interpret the given box plot

A left whisker extends from 16 to 18, therefore:

The box extends from 18 to 26 and is divided into 2 parts by a vertical line segment at 22.

The right whisker extends from 26 to 28.

Therefore any set of data that satisfies the 5-Number summary: 16,18,22,26 and 28 can be represented with the box plot.

Box plot has boxes with some lines ( called whiskers ).

Box plot on the graphical level tells about 5 points:

There is starting whisker or left whisker denoting point minimum (Q0) and extends from there the line to Q1 ( first quartile).

Then the box starts which starts from Q1 and touched Q3. In the middle it passes through Q2 ( The median of the data ), and thus has a line in it.

At last, there is end whisker or right whisker denoting end quantile or Q4 (the maximum point).

Given data:

Left whisker extends from 16 to 18.

     Thus Q0 = 16

              Q1 = 18

Box plot starts from 18 and extends to 26, and is split by a vertical line segment at 22.

    Thus Q2 = 22

             Q3 = 26

The right whisker or end whisker extends from 26 to 28

    Thus Q4 = 28.

Thus the description of data is given as:

\(Q_0 = Minimum = 16\\Q_1 = First\: quartile = 18\\Q_2 = Second \:quartile = Median= 22\\Q_3 = Third\: quartile = 26\\Q_4 = Maximum = 28\\\)

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We can estimate that 900 people in attendance would prefer mustard on a hot dog.

What is proportion?

Proportion is a mathematical concept that refers to the relationship between two quantities, expressed as a ratio or a fraction. It represents the size of one quantity relative to another quantity, typically within a larger population or sample.

To determine the number of people who would prefer mustard on a hot dog, we need to use the proportion of people in the sample who prefer mustard and apply it to the total number of people in attendance.

The proportion of people in the sample who prefer mustard is:

27/150 = 0.18

To estimate the number of people who prefer mustard in the entire population of 5,000 attendees, we can multiply this proportion by the total number of attendees:

0.18 x 5,000 = 900

Therefore, we can estimate that 900 people in attendance would prefer mustard on a hot dog.

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