Suppose the PMF of the random variable X is px(x) = (0.1.2...(x) where λ>0. x! Obtain the factorial moment generating function of X and derive the mean and variance from it. Exercise: e-2 2² 4. Suppose the PMF of the random variable X is px(x) = x! Obtain the MGF of X and derive the mean and variance from the MGF. (0.1.2....(x) where ^>0.

Answer:

6 trips

Step-by-step explanation:

12 divided by 4 equals 3

18 divided by 3 equal 6

she will have to take six trips to drive 18 kilometers.

If the histogram shows a bell-shaped curve and the normality test (if performed) supports the normality assumption, it appears safe to assume that the normality condition is satisfied for the wood pieces prepared for the lab session, considering them as an SRS of all similar pieces of Douglas fir.

To determine if the normality condition is satisfied, you can follow these steps:

1. Organize the data: Collect the measurements for the characteristics of the wood pieces in your sample (such as density, strength, etc.) and organize them in a list or a table.

2. Create a frequency distribution: Calculate the frequencies of the different measurements and arrange them in a frequency distribution table.

3. Plot a histogram: Using the frequency distribution, create a histogram to visually represent the data. The x-axis represents the measurements and the y-axis represents the frequency.

4. Evaluate the shape of the histogram: Examine the shape of the histogram to determine if it resembles a normal distribution. A normal distribution is characterized by a bell-shaped curve, which is symmetrical around the mean value.

5. Conduct a normality test (optional): If you want to statistically confirm the normality of the data, you can perform a normality test, such as the Shapiro-Wilk test or the Kolmogorov-Smirnov test.

For the wood pieces manufactured for the lab session, using them as an SRS of all comparable pieces of Douglas fir, it is acceptable to infer that the normality criterion is satisfied if the histogram displays a bell-shaped curve and the normality test (if performed) confirms the normality assumption.

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Answer:

8

Step-by-step explanation:

3√512 =

3√[64 * 8 ] =

3√[ 8 * 8 * 8 ] =

8

Answer:

4,550

Step-by-step explanation: 7 x 650 is 4,550

Answer:

9

Step-by-step explanation:

for this we make systems of equations

x= 2 points plays

y= 5 points play

2x+5y=34+29

2x+5y=63

x+y=18

  -y.  -y

x=18-y

2(18-y)+5y=63

36-2y+5y=63

16+3y=63

-36.    -36

3y=27

/3.  /3

y=9

hopes this helps

The relative error of the metal plate is -0.0025

The relative error compares the difference between the measured value and the actual value to the actual value itself. Mathematically, it's calculated as:

Relative Error = (Measured Value - Actual Value) / Actual Value

In this case, the metal plate was supposed to be 15.75 cm long, but it measured 15.71 cm after it was cut. Therefore, the measured value is 15.71 cm, and the actual value is 15.75 cm. Plugging these values into the formula for relative error, we get:

Relative Error = (15.71 - 15.75) / 15.75 = -0.0025

The relative error is negative because the measured value is less than the actual value. In other words, the measured value has an error of -0.25% relative to the actual value. This means that the measured value is 0.25% less than the actual value.

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Answer:

1

Step-by-step explanation:

Anything to the power of 0 is 1

Answer:

(-2, 10)

Step-by-step explanation:

All you have to do is add 4 to -6 and add 5 to 5. Since it was moved 4 units down and 5 units left, that means that those numbers were subtracted from the original coordinates. Although you are trying to find the original points, so instead you add 4 and 5 to the coordinates you have right now.

I hope that makes sense!

Answer:

variable

numerical expression

constant

coefficient

variable term

like terms

algebraic expression

numerical expression

Step-by-step explanation:

Answer:

y^2+4y+4

Step-by-step explanation:

Hope this helps! Plz give brainliest!

Answer: (y+2)^2

Step-by-step explanation: (y+2)(y+2) would equal y^2 + 4y +4. Use the FOIL method.

Answer:

$7.03

Step-by-step explanation:

Answer:

the 3rd one

Step-by-step explanation:

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

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Answer:

560 $

Step-by-step explanation:

4 shoes is 80

so, we have to multiply

$140

Or

£140

You are American so its the first one

Answer:

24t+30

Step-by-step explanation:

We will split this into two different equations 2(2t+3) and 6(4t-4)

To expand the first part we must multiple each number in the parentheses by the outside number which is 2* 2t= 4t and 2*3= 6

We must do the same process for the second part which has a negative comes to be 6*4t = -24t and 6*-4= -24

Now that we have it fully expanded we must now add like terms:

4t - (-24t) =24t

6-(-24) = 30

Combined the new equation is 24t+30

Answer:

0.85

Step-by-step explanation:

the sequence is every second number

first sequence 0.95, 0.90, 0.85, 0.80...

second sequence 0.85, 0.80, 0.75...

Answer:

d= 4

Step-by-step explanation:

41 = 12d - 7

41 + 7 = 12d

48 = 12d

48 ÷ 12 = 12d ÷ 12

4 = d

Answer:

d = 4

Step-by-step explanation:

hope this helps

Step-by-step explanation:

f(x) = a [x - (-2)] [x - (-1)] (x - 3)

with a ≠ 0.

f(x) = a(x + 2)(x + 1)((x - 3)

Use f(4) = 10 to find a.

10 = a(4 + 2)(4 + 1)(4 - 3) = 30a

a = 1/3

f(x) = (1/3)(x + 2)(x + 1)(x - 3)

A polynomial function with the stated properties is x³+7x²+7x-1=0.

The zeros of polynomial refer to the values of the variables present in the polynomial equation for which the polynomial equals 0.

Given that, the third-degree polynomial function with zeros of -5, -3, and 1, and a y-intercept of -14.

Here, x=-5, x=-3 and x=1

So, x+5=0, x+3=0 and x-1=0

Now, P(x)=(x+5)(x+3)(x-1)

P(x)=(x²+8x+15)(x-1)

P(x)=x²(x-1)+8x(x-1)+15(x-1)

P(x)=x³-x²+8x²-8x+15x-15

P(x)=x³+7x²+7x-15

y=x³+7x²+7x-15

y-intercept is -14, so -14=x³+7x²+7x-15

x³+7x²+7x-1=0

Therefore, a polynomial function with the stated properties is x³+7x²+7x-1=0.

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Answer:

Volume of cone = 40 in³

Step-by-step explanation:

Given:

Volume of cylinder = 120 in³

Height of cylinder = Height of cone

Radius of cylinder = Radius of cone

Find:

Volume of cone

Computation:

Volume of cylinder = πr²h = 120 in³

Volume of cone = (1/3)πr²h

So,

Volume of cone = (1/3)(120)

Volume of cone = 40 in³

The due date of the loan in the amount of $14,800, opened on January 22, at an interest rate of 9% and with the maturity value of the loan as $15,799, is a. October 22nd.

The due date can be determined using an online finance calculator, which shows that it will take almost 9 months for the loan's due date.

I/Y (Interest per year) = 9%

PV (Present Value) = $14,800

PMT (Periodic Payment) = $0

FV (Future Value) = $15,799

Results:

Loan Period (N) = 8.742 months

≈ 9 months

Total Interest = $999.00

Thus, 9 months to January 22 falls on October 22nd.

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P(A3|B1) is approximately 0.3636, rounded to four decimal places.

Given that

P(A1) = 0.20,

P(A2) = 0.40,

P(A3) = 0.40,

P(B1|A1) = 0.25,

P(B1|A2) = 0.05, and

P(B1|A3) = 0.10.

We can use the formula:

P(A3|B1) = (P(B1|A3) * P(A3)) / (P(B1|A1) * P(A1) + P(B1|A2) * P(A2) + P(B1|A3) * P(A3)).

Plugging in the values, we have:

P(A3|B1) = (0.10 * 0.40) / ((0.25 * 0.20) + (0.05 * 0.40) + (0.10 * 0.40)).

Simplifying the expression, we get:

P(A3|B1) = 0.04 / (0.05 + 0.02 + 0.04).

Calculating further, we find:

P(A3|B1) = 0.04 / 0.11.

Therefore, P(A3|B1) is approximately 0.3636, rounded to four decimal places.

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The magnitude of the x-component of this vector is 9.05m.

The angle of inclination of the vector is calculated as;

θ = 90 ⁰ - 48.4 ⁰

θ = 41.6 ⁰

The magnitude of the x-component of the vector is calculated as;

Vx = 12.1 m x cos ( 41.6 )

Vx = 9.05 m

A vector can be represented by an ordered set of numbers, called components, that indicate the magnitude and direction of the vector in a particular coordinate system. The components of a vector can be added or subtracted using vector addition and subtraction, and multiplied by a scalar (a real number) using scalar multiplication.

Vectors can be visualized as arrows in a two- or three-dimensional space, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector. Vectors can also be represented as matrices, which can be used to perform various operations on vectors, such as dot product and cross product.

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Complete Question:-

Answer:

a. Point S

b. Line segment PT and Line segment ST

c. PSQRU

d. Lines PR and SQ

e. Plane C and Plane QRS

Step-by-step explanation:

Answer:

The problem states that the temperature drops 2 degrees F.  The word drops signifies that I should subtract 2 1/5 degrees F from 63 1/4 F.

Step-by-step explanation:

Correct Answer

Answer:

The problem states that the temperature drops 2 degrees F.  The word drops signifies that I should subtract 2 1/5 degrees F from 63 1/4 F.

Step-by-step explanation:

Answer:

\(n=5\)

Step-by-step explanation:

Given the following question:

\(0=n-5\)

To find the answer we simply add five on both sides because this is a one-step equation.

\(0=n-5\)
\(-5+5=0\)
\(0+5=5\)
\(5=n\)
\(n=5\)

Which means your answer is "n = 5."

Hope this helps.

Given:

The date set for the number of public libraries in each of 14 cities is:

4, 5, 4, 6, 5, 6, 5, 8, 5, 4, 6, 6, 7, 4

To find:

The modes of this data set.

Solution:

We know that, the mode of a data is the most frequent value of data set.

Arrange the given data in ascending order.

4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 8

In the given data set,

Frequency of 4 = 4

Frequency of 5 = 4

Frequency of 6 = 4

Frequency of 7 = 1

Frequency of 8 = 1

Clearly, the data values 4, 5, 6 have the largest frequency, i.e., 4.

Therefore, the modes of the given data set are 4, 5, 6.

Answer:

6.75 miles

Step-by-step explanation:

Since it is 2.25 per 1/2 hour to get to 1 1/2 hour you multiply by 3. Then you do 2.25 times 3 and it gives you 6.75 miles.

hope that helps

Answer:

6.75 miles

Step-by-step explanation:

How many 1/2 hours in 1 1/2 hour? 1.5 ÷ 0.5 = 3

2.25 x 3 = 6.75

OR

Find the unit rate = 2.25 x 2 = 4.50 (we multiply it by 2 because there 2 half hours in an hour)
4.50 x 1.50 = 6.75

To determine if the newly discovered plant belongs to the same genus as the horsetail, scientists would look for characteristic(s) that provide the best evidence to support this hypothesis. Here are some key characteristics that could be examined:

1. Morphological similarities: Comparing the physical characteristics and overall morphology of the newly discovered plant with known horsetails would provide important evidence. Scientists would analyze features such as the arrangement and structure of leaves, stems, roots, and reproductive structures (such as cones or spores). If the new plant shares significant similarities in morphology with horsetails, it suggests a closer relationship.

2. Genetic analysis: Conducting genetic studies, such as DNA sequencing or molecular markers, can provide strong evidence of evolutionary relationships. By comparing the genetic information of the new plant with that of horsetails, scientists can identify shared genetic traits that indicate a common ancestry. Similarities in DNA sequences or genetic markers would support the hypothesis of belonging to the same genus.

3. Evolutionary history: Investigating the evolutionary history and phylogenetic relationships of horsetails and the new plant can provide valuable insights. By examining the fossil record and constructing phylogenetic trees, scientists can determine the evolutionary relationships between different plant species. If the new plant shares a more recent common ancestor with horsetails compared to other plant groups, it supports the hypothesis of belonging to the same genus.

4. Reproductive compatibility: Assessing the reproductive compatibility between the new plant and horsetails can provide evidence of their relationship. If they can successfully hybridize or have compatible reproductive structures, it suggests a close evolutionary relationship and supports the hypothesis of belonging to the same genus.

5. Chemical composition: Analyzing the chemical composition of the new plant and comparing it with horsetails can provide additional evidence. Similarities in chemical compounds, such as secondary metabolites or bioactive compounds, can indicate a closer relationship and support the hypothesis.

It is important to consider multiple lines of evidence and conduct thorough investigations to support the hypothesis that the new plant belongs to the same genus as horsetails. A combination of morphological, genetic, evolutionary, reproductive, and chemical evidence would provide a more robust and conclusive assessment of their relationship.

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Answer: 1. The graph of a linear function shows a constant rate of change. A nonlinear function does not have a constant rate of change. So, its graph is not a line. Does the table represent a linear or nonlinear function?While all linear equations produce straight lines when graphed, not all linear equations produce linear functions. In order to be a linear function, a graph must be both linear (a straight line) and a function (matching each x-value to only one y-value). ... is a linear equation but does not describe a function. 2. An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in maths when you do not know the exact number in a calculation. 3. As we stated earlier, nonlinear functions are functions that are not linear functions. Therefore, they have the opposite properties of a linear function. The graph of a linear function is a line. Thus, the graph of a nonlinear function is not a line.

Step-by-step explanation: