kate has 7 different types of flowers but she wants to make a floral arrangement with only 4 of them. how many possible flower arrangements are there?

The Poisson distribution is well suited to model the occurrence of rare events, such as earthquakes of magnitude 7 or higher in the Greater California region. By using the Poisson distribution, we can determine the probabilities of at least one earthquake happening in the next year, next 10 years, next 20 years, and next 30 years.

We are given that an earthquake of magnitude 7 or higher occurs on average every 13 years. This information allows us to determine the average rate of occurrence, which is λ = 1/13 per year.

The Poisson distribution is defined by the equation P(X = k) = (e^(-λ) × λ^k) / k!, where P(X = k) is the probability of k events occurring, λ is the average rate of occurrence, and k is the number of events.

To calculate the probability of at least one earthquake occurring, we need to find the complement of the probability of zero earthquakes occurring. The complement of an event is equal to 1 minus the probability of the event not occurring.

Let's calculate the probabilities for each time frame:

Next year (1 year): λ = 1/13 earthquakes per year.

P(at least one earthquake in the next year) = 1 - P(no earthquake in the next year) = 1 - P(X = 0) = 1 - (e^(-1/13) × (1/13)⁰) / 0! = 1 - e^(-1/13).

Next 10 years (10 years): λ = (1/13) × 10 earthquakes in 10 years.

P(at least one earthquake in the next 10 years) = 1 - P(no earthquake in the next 10 years) = 1 - P(X = 0) = 1 - (e^(-10/13) × (10/13)⁰) / 0! = 1 - e^(-10/13).

Next 20 years (20 years): λ = (1/13) × 20 earthquakes in 20 years.

P(at least one earthquake in the next 20 years) = 1 - P(no earthquake in the next 20 years) = 1 - P(X = 0) = 1 - (e^(-20/13) × (20/13)⁰) / 0! = 1 - e^(-20/13).

Next 30 years (30 years): λ = (1/13) × 30 earthquakes in 30 years.

P(at least one earthquake in the next 30 years) = 1 - P(no earthquake in the next 30 years) = 1 - P(X = 0) = 1 - (e^(-30/13) × (30/13)⁰) / 0! = 1 - e^(-30/13).

Therefore, using the Poisson distribution, we can calculate the probabilities of at least one earthquake occurring in the next year, next 10 years, next 20 years, and next 30 years.

To learn more about probabilities here:

brainly.com/question/32117953#

#SPJ11

The statement the most frequently used graphic in reports is the table is false because tables are not typically the most frequently used graphic in reports.

While tables are commonly used in reports to present structured and detailed information, they are not typically the most frequently used graphic. Instead, other types of visuals such as charts, graphs, and diagrams are often employed to present data and communicate information more effectively.

Graphical representations like bar charts, line charts, pie charts, and scatter plots are widely used in reports to visualize patterns, trends, comparisons, and relationships in the data. These visualizations offer a concise and visually appealing way to convey information, making it easier for readers to understand complex data.

Tables, on the other hand, are more suitable for presenting precise numerical values, categorical information, or detailed breakdowns. They are useful for displaying large datasets or providing specific values for reference. However, their format can be dense and may require closer scrutiny, making them less visually impactful compared to graphical representations.

To know more about bar charts, refer here:
https://brainly.com/question/32121650
#SPJ11

Answer:

A

Step-by-step explanation:

(-2,5)

read the X axis and then y axis

The probability to the statement to be true is 1/5.

Probability:

Probability refers the chance of an event occurring.

The formula of the probability is,

Probability = the number of ways of achieving success / the total number of possible outcomes.

Given,

The inhabitants of an island tell

the truth with probability 1/3 and

lie with probability 2/3, independently of each other.

One islander makes a statement. a second islander says that the first islander told the truth.

Here we need to find the probability of the statement.

Let us assuming the two islanders statements are independent, the probability they both told the truth is

=> 1/3 x 1/3 = 1/6

If the probability of the second guy backing up the first statement is the probability they both lied or they both told the truth

=> (2/3 x 2/3) + (1/3 x 1/3)

=> 4/9 + 1/6

=> 5/9

So, the probability of the first guy telling the truth, given that the second guy claiming it was true

=> P(A|B) = P(AB)/P(B)

=>  (1/9) / (5/9) = 1/5.

To know more about Probability here:

https://brainly.com/question/11234923

#SPJ4

The value of r when s = 9 is 12 using the linear relationship between the quantities.

Given that there is a linear relationship between the quantities whose values are represented by s and r in the table below.

The value of r when s = 9.

So we need to find out the value of r when s = 9. To do this, we need to determine the equation of line that represents the relationship between s and r.

To find the equation of a straight line when two points on it are given we use the slope formula:  m = (y2 - y1) / (x2 - x1)We choose two points that belong to the line to calculate the slope.

We can use the points (6, 10) and (12, 18)

Let’s find the slope, m = (y2 - y1) / (x2 - x1)    m = (18 - 10) / (12 - 6)       m = 8 / 6       m = 4 / 3So we have the slope m = 4/3 .

We can use the slope and the coordinates of one of the points (6, 10) to determine the equation of the line:y - y1 = m (x - x1)y - 10 = 4/3 (x - 6)y - 10 = 4/3 x - 8

So the equation of the line is:y = 4/3 x + 2

Now we can find r when s = 9 by substituting 9 for s in the equation:y = 4/3 x + 2y = 4/3 (9) + 2y = 12

We have r = 12 when s = 9

Therefore, the value of r when s = 9 is 12.

Know more about the linear relationship

https://brainly.com/question/13828699

#SPJ11

The linear two-variable equation that represents the graph is y = -2x + 4.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Two coordinates from the graph:

(0, 4) and (1, 2)

m = (2 - 4) / 1 = -2/1 = -2

Now,

y = mx + c

(0, 4) = (x, y)

4 = 0 + c

c = 4

Now,

y = -2x + 4

Thus,

The equation that represents the graph is y = -2 + 4.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ1

The graph of the function is graph (b)

From the question, we have the following parameters that can be used in our computation:

f(x)=x−2−−−−√3

Express properly

So, we have

f(x) = √(x − 2)  + 3

The above equation is a square root equation

So, the parent function is

y = √x

When the parent function is compared to the given function, we have

2 units right and 3 units up

This is represented by the graph (b)

Read more about transformation at

brainly.com/question/1548871

#SPJ1

Answer:

C

Step-by-step explanation:

Using PEMDAS we can figure out what to do to simplify this problem.

The "E" in PEMDAS referrers to "Exponents".

Square roots are still exponents, just written weird.

\(\sqrt{38} = 38^\frac{1}{2}\)

So, according to the laws of PEMDAS, we must find the square root of 38 first

\(\sqrt{38} = 6.16\)

Next, we just add 2.

6.16 + 2 = 8.16

Point C is the closest to 8.16

Answer:

450

Step-by-step explanation:

find perimeter of bases and then the area. then find Lateral Surface area to get Surface area

Answer:

a. x (less than or equal to) 24

Step-by-step explanation:

i hope this helps :)

In a Venn diagram, we illustrate the relationships between sets a, b, and c, specifically the relationships a ⊂ b (a is a subset of b) and a ⊂ c (a is a subset of c).

A Venn diagram is a visual representation of sets using overlapping circles. In this case, we have three sets: a, b, and c. To illustrate the relationship a ⊂ b, we draw a circle representing set b and a smaller circle inside it representing set a. This indicates that every element in a is also an element of b, but b may contain additional elements that are not in a. The subset a is completely contained within set b. Similarly, to represent the relationship a ⊂ c, we draw a circle representing set c and a smaller circle inside it representing set a. This indicates that every element in a is also an element of c, but c may contain additional elements that are not in a. The subset a is completely contained within set c. By using the Venn diagram, we visually demonstrate the relationships between sets a, b, and c. The diagram clearly shows that a is a subset of both b and c, indicating that all elements of a are also elements of b and c. However, b and c may have additional elements that are not in a.

Learn more about Venn diagram here:

https://brainly.com/question/20795347

#SPJ11

Answer:

The answer will be

= -11, -1, √5, 3, 13

Please mark me as the brainliest.

Step-by-step explanation:

a4+2

The total intake of trichloroethylene over a four-year academic program would be 29.2 grams.

the total intake of trichloroethylene (TCE) over a four-year academic program, we need to consider the concentration of TCE in the water supply and the amount of water consumed per day.

the concentration of TCE in the campus water supply is 10 mg/L, we can calculate the daily intake of TCE by multiplying the concentration by the amount of water consumed. However, since the question doesn't provide information about the amount of water consumed per day, we'll assume an average value of 2 liters.

To calculate the daily intake of TCE, we can use the following equation:

Daily intake = concentration of TCE x amount of water consumed

Daily intake = 10 mg/L x 2 L = 20 mg

Now, to determine the total intake over a four-year academic program, we need to consider the number of days in a year and the duration of the program. Let's assume a year consists of 365 days and the program lasts for four years.

Total intake = daily intake x number of days x number of years

Total intake = 20 mg/day x 365 days/year x 4 years

Total intake = 20 mg/day x 1,460 days

Total intake = 29,200 mg

Converting milligrams to grams, we get:

Total intake = 29,200 mg ÷ 1,000 = 29.2 g

Therefore, the total intake of trichloroethylene over a four-year academic program would be 29.2 grams.

Learn more about trichloroethylene  with the given link,

https://brainly.com/question/14970031

#SPJ11

Given the table:

Cakes: 2 3 5 6 7

Time(h): 4 4 1.5 2.5 1.5

To make a scatter plot of the hours Jake spends at the counter as a function of the number of cakes he bakes, we have:

= [180 - (100 + 40)]° = 40°

Answers:

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

isosceles

Step-by-step explanation:

An isosceles triangle is one with two equal-length sides. The correct option is D.

An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.

Any triangle, whose median is also the altitude of the triangle is an isosceles triangle. Since it is given that BD is both the median and altitude of ΔABC. Therefore, the given ΔABC is an isosceles triangle.

Learn more about Isosceles Triangle:

https://brainly.com/question/2456591

#SPJ5

By incorporating this information into the similarity measure, we can produce more accurate and informative results in clustering and classification tasks.

To modify the definition of clustering similarity to take into account the position of shared neighbors in the two nearest neighbor lists, we can introduce a weighting factor that considers the rank of the shared neighbor in each list. This can be achieved by multiplying the regular SNN similarity value by a weight factor that is calculated as the reciprocal of the sum of the ranks of the shared neighbors in the two lists. For example, if two points have a shared neighbor that is ranked 2nd in one list and 3rd in the other list, the weight factor would be 1/(2+3) = 0.2. This weight factor would then be multiplied by the regular SNN similarity value to produce a modified SNN similarity score that gives higher similarity to points that share the same nearest neighbors ranked higher in the nearest neighbor lists. This modification is justified because it takes into account the fact that having shared neighbors that are ranked higher in the nearest neighbor lists is a stronger indicator of similarity than having shared neighbors that are ranked lower.

Learn more about clustering here

https://brainly.com/question/29888905

#SPJ11

Answer:

You need to first identify the dum it's always multiplication

hope this helps good luck

If a shuttle was launched every day, about 1 failures would one expect in 300 years.

Finding an estimate or approximation—a value that can be used for a purpose despite the possibility of incomplete, uncertain, or unstable input data—is the process of estimation. Despite this, the value is still useful because it was created using the most up-to-date data.

Here,

There are about 110,000 days in 300 years, so the expected number of failures is about 10/11 ≈ 1.

This assumes the launch conditions are identical for each of the launches, or that whatever variation there might be has no effect on the probability. These are bad assumptions.

If a shuttle was launched every day, one might anticipate one failure every 300 years.

To know more about estimate,

https://brainly.com/question/17961193

#SPJ4

An equation of a line can be written by using the standard form of the equation of line y = mx + b,

What is the equation of a line?

The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis.

An equation of a line can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept.

To find the equation of a line that is perpendicular to another line, you will need to find the negative reciprocal of the slope of the original line.

For example, suppose you have a line with the equation y = 3x + 2.

The slope of this line is 3, so the slope of a line that is perpendicular to it would be the negative reciprocal of 3, which is -1/3.

The equation of the perpendicular line would be y = -1/3x + b, where b is the y-intercept.

To find the y-intercept of the perpendicular line, you can plug in the coordinates of a point on the original line into the equation of the perpendicular line.

For example, if you know that the original line passes through the point (4, 14), you can substitute these values into the equation y = -1/3x + b to find the value of b.

This gives you the equation -1/3x + b = 14, so b = 14 + 1/3x.

Substituting x = 4 gives you b = 14 + 1/3(4) = 14 + 4/3 = 18/3, so the equation of the perpendicular line is y = -1/3x + 18/3.

Hence, An equation of a line can be written by using the standard form of the equation of line y = mx + b,

To learn more about the equation of a line visit,

https://brainly.com/question/19283860

#SPJ4

Answer:

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

General Formulas and Concepts:

Algebra I

Coordinates (x, y)

Point-Slope Form: y - y₁ = m(x - x₁)

Step-by-step explanation:

Step 1: Define

Identify

Point (2, -3)

Slope m = -1/2

Step 2: Find Equation

Answer:

x=-7.5

Step-by-step explanation:

3x-2/4=2x-8

-2x        -2x

x-2/4=-8

+2/4     +2/4

Put separate terms on each side

x=-7.5

Please correct me if I'm wrong

Hope this helps!

Answer:

Step-by-step explanation:

18x^2 + 22x + 81x + 99

18x^2 + 103x + 99

Sebastian is incorrect. The correct greatest common factor of the given expression is 9mn.

The greatest common factor (GCF) of a set of numbers refers to the largest factor that all the numbers shares. The greatest common factor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers. For an expression, the greatest common factor is the largest expression that is a factor of all the expressions. In the given expression, 27m²n + 36m³n³ + 18mn⁴, take out the common factor out.

27m²n + 36m³n³ + 18mn⁴

Take out 3

3(9m²n + 12m³n³ + 6mn⁴)

As the expression can be divided by three again, Take out 3

3*3(3m²n + 4m³n³ + 2mn⁴)

9(3m²n + 4m³n³ + 2mn⁴)

Similarly,

Take out m

9m(3mn + 4 m²n³ + 2n⁴)

Take out n

9mn(3m + 4 m²n2 + 2n3)

Hence, the common greatest factor is 9mn and not 9m²n⁴.

Note: The question is incomplete. The complete question probably is: Sebastian wants to factor the greatest common factor out of the expression, 27m²n + 36m³n³ + 18mn⁴. Sebastian determines that the greatest common factor is 9m²n⁴. Is Sebastian correct? If he is, explain why. If he is not correct, determine the correct answer and explain your reasoning.

Learn more about Greatest common factor:

https://brainly.com/question/28280932

#SPJ4

Answer:

c^2 = a^2 + b^2 - 2ab cos(C)

Step-by-step explanation:

The angle at A is named A, the angle at B is named B, and the angle at C is named C

Answer:

b = 0

Step-by-step explanation:

Subtract 6 from both sides:

4b = 2 - b - 2

Subtract 2 from two, and get 0.

4b = -b

this means that the only possible case where the equation is satisfied is when b = 0, because -0 is 0, and 4x0 is still 0.

Answer:

No, because the cone has a smaller volume than the ice cream

Step-by-step explanation:

V=4

3πr3=4

3·π·33≈113.09734

Volume of scoop: 113.1 cm^2

V=πr2h

3=π·2.52·10

3≈65.44985

Volume of cone: 65.45 cm^2

65.45 < 113.1