lect all that apply which of the following statements describe the poisson distribution? select all that apply multiple select question. the probability of the event is proportional to the interval size. the probability of an individual event occurring is quite large. the intervals do not overlap and are independent. the random variable is the number of occurrences during an interval.

Answer: ✨So I divided. 120 by 15 and got 8. I then multiplied it by 20 and got 160 bouquets✨

Step-by-step explanation: Still stuck? Get 1-on-1 help from an expert tutor now.

Answer:

length is 19 width is 15

Step-by-step explanation:

The area of the classroom floor in the scale drawing is 247 square inches.

The area of Rectangle is length times of width.

We need to find the scale of the drawing, which is the ratio of the length in the drawing to the actual length:

19 inches / 38 feet = 0.5 inches/foot

Now we can use the scale to find the dimensions of the classroom floor in the scale drawing:

Length in scale drawing = Actual length ×  Scale

Width in scale drawing = Actual width ×  Scale

Length in scale drawing = 38 feet ×  0.5 inches/foot = 19 inches

Width in scale drawing = 26 feet ×  0.5 inches/foot = 13 inches

So the dimensions of the classroom floor in the scale drawing are 19 inches by 13 inches.

To find the area in square inches, we can multiply the length by the width:

Area in scale drawing = Length in scale drawing × Width in scale drawing

= 19 inches× 13 inches

= 247 square inches

Therefore, the area of the classroom floor in the scale drawing is 247 square inches.

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\(\log_7(x+9)-\log_710=\log_77\qquad(x > -9)\\\log_7\dfrac{x+9}{10}=1\\\dfrac{x+9}{10}=7\\x+9=70\\x=61\)

The equation of the graphed function is given as follows:

f(x) = x³ + 2x² - 5x - 6.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

From the graph, the zeros of the function are:

Hence the function is:

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

In which a is the leading coefficient.

Expanding the product, we have that:

f(x) = a(x² + 4x + 3)(x - 2)

f(x) = a(x³ + 2x² - 5x - 6).

When x = 0, y = -6, hence the leading coefficient a is obtained as follows:

-6a = -6

a = 1.

Hence the function is:

f(x) = x³ + 2x² - 5x - 6.

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Answer:

3 times Mike's amount = 3h

Step-by-step explanation:

The perimer of a traingle is the saum of its sides

P = 2(3x+7) + 2(2x+2)

Answer:

y = 12+3x/6

Step-by-step explanation:

Make sure y is on one side and no terms are with it.

6y = 12+3x

y = 12+3x/6

Answer:

22

Step-by-step explanation:

4x4+6

16+6

=22

Answer:

14

Step-by-step explanation:

i used pemdas so fist i multiplied 2x2 then added 3 them multiplied 7 with 2 which gets us 14.

Rounded to the nearest tenth, the angle between the two vectors is approximately 1.8. To find the dot product between two vectors, we multiply their corresponding components and sum the results.

To find the dot product between two vectors, we multiply their corresponding components and sum the results. Let's denote the two vectors as v and w. Given that the components of v are 1 and -5, and the components of w are -5 and 0, the dot product can be calculated as follows:
v · w = (1 * -5) + (-5 * 0) = -5 + 0 = -5
Now, let's find the angle between the two vectors. The dot product can be used to find the angle using the formula:
cos(theta) = (v · w) / (||v|| * ||w||)
Where ||v|| and ||w|| represent the magnitudes (lengths) of the vectors. In this case, both vectors have a magnitude of \(\sqrt(26)\).
Substituting the values into the formula:
cos(theta) = -5 / \((\sqrt(26) * \sqrt(26))\) = -5 / 26
To find the angle theta, we can use the inverse cosine function:
theta = acos(-5 / 26)
Evaluating the expression gives:
theta ≈ 1.810
Rounded to the nearest tenth, the angle between the two vectors is approximately 1.8.

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The variable data refers to the list [10, 20, 30]. After the statement data[1] = 5, data evaluates to [10, 5, 30]. A list is one of the compound data types that Python provides. Lists can contain items of different types, but they are usually all the same type.

Lists are mutable sequences, meaning that their elements can be changed after they have been created. Lists can be defined in several ways, including by enclosing a comma-separated sequence of values in square brackets ([ ]).

The elements of a list can be accessed using indexing, with the first element having an index of 0. The second element has an index of 1, the third element has an index of 2, and so on. To change the value of an element in a list, you can use indexing with an assignment statement.

For example, the statement `data[1] = 5` changes the second element of the `data` list to 5. Therefore, after this statement, the `data` list will be `[10, 5, 30]`.

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The factors of the function, g(x) = x³ + 2x² - x - 2 is, C. (x - 1)(x + 1)(x + 2).

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given, A cubic polynomial, g(x) = x³ + 2x² - x - 2.

Now, From the options if (x - 2) is a factor then x - 2 = 0, x = 2 ⇒ g(2) = 0.

g(2) = 2³ + 2.2² - 2 - 2.

g(2) = 8 + 8 - 2 - 2.

g(2) = 12, So x - 2 is not a factor.

Let, x + 2 = 0, x = - 2.

g(-2) = - 8 + 8 = 2 - 2.

g(-2) = 0, So, x + 2 is a factor, And we know a cubic polynomial has three factors.

Therefore, g(x) = x³ + 2x² - x - 2 = (x - 1)(x + 1)(x + 2).

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Answer:

Independent variable - type of cola drink

dependent variable - taste rating of cola drink

extraneous variable - type of cola drink

Step-by-step explanation:

The independent variable is the variable that the person carrying out an experiment changes or manipulates. the independent variable usually have a direct effect on the dependent variable

The dependent variable is the variable that is being measured in an experiment. It is usually affected by the independent variable.

The extraneous variable is the variable  that is not been researched in the experiment but it has the potential to influence the results of the experiment.

The type of cola drink given to participants can be manipulated to derive different ratings. the ratings that participants would give the cola drink is determined by the type of cola drink served. Here, the type of drink served is the independent variable while the ratings given is the dependent variable.

the extraneous variable is the type of drink cups used. this is not relevant to the experiment but can affect the results of the experiments. for example, imagine a red cup is used for the experiment and a participant hates red cups. it is more likely that the participant would give a low rating for the cola drink even if the drink tastes good

Answer:

Rhombuses

Step-by-step explanation:

It has four vertical lines, then draw a Venn Diagram, opposite to opposite.

Order from Venn Diagrams:

Quadrilaterals

Rectangles

Squares

Rhombuses.

Answer: 100+20h=x

Step-by-step explanation:

100 for the cost of the window Plus $20 times amount of hours the person does i equal the total amount you want to get which is x

Answer:

100 + (20 x H)

Step-by-step explanation:

100 dollars plus the amount paid for each hour of labor, so it would be 20 x H. Altogether it should be 100 + (20 x H).

Hope I helped!

Answer:

5

Step-by-step explanation:

First let turn 25 into a fraction

\(\frac{25}{1}*\frac{1}{5}\)

Multiply

\(\frac{25}{5}\)

Divide/Simplify

\(=5\)

Answer = 5

[RevyBreeze]

\(\qquad\qquad\huge\underline{{\sf Answer}}\)

Let's evaluate ~

As the denominator of both the terms is same, we can simply perform subtraction on numerator.

That is :

\(\qquad \sf  \dashrightarrow \: \dfrac{a - 2}{ {a}^{2} + 7a + 6 } - \dfrac{5a - 6}{ {a}^{2} + 7a + 6 } \)

\(\qquad \sf  \dashrightarrow \: \dfrac{a - 2 - (5a - 6)}{ {a}^{2} + 7a + 6 } \)

\(\qquad \sf  \dashrightarrow \: \dfrac{a - 2 - 5a + 6}{ {a}^{2} + 7a + 6 } \)

\(\qquad \sf  \dashrightarrow \: \dfrac{ - 4a + 4}{ {a}^{2} + 7a + 6 } \)

Answer:

-4a + 4/ a^2 + 7a +6

Answer:

300 sandwiches

Step-by-step explanation:

set it up as an equation

2000=800 + 4x

1200=4x

300=x

so you would need to sell 300 sammiches

Answer:

(0,5)

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

(x1+x2/2,y1+y2/2)

Substitute in the values for (x1,y1)and (x2,y2).

(-2+2/2,\(\frac{4+6}{2}\))

Cancel the common factor of −2+2 and 2.

(−1+1, \(\frac{4+6}{2}\))

Add −1 and 1.

(0,\(\frac{4+6}{2}\))

Cancel the common factor of 4+6 and 2.

(0, 2+3)

Add 2 and 3.

(0,5)

(Sorry, some of the fractions weren't working)

Answer:

x = -8

Step-by-step explanation:

slope of y = 1/6 is zero

the negative reciprocal of zero is considered to be 'undefined', which is the slope of x=-8 (or x = 'any number')

Answer:

Forty-seven percent is the statistic and 31% is the parameter

Step-by-step explanation:

Various terms are used in mathematics when it comes to carrying out particular studies in statistics.

A) Parameter

A parameter when is comes to statistical studies can be defined as the term that tells us more about a group or population of people.

B) Statistic

Statistic is a measure that tells us about is a characteristic of a sample or part of a given population.

In the above question, we are told that: a study of parents of kindergarteners included 349 parents who were chosen at random. Of these parents, 47% said they sent their children to pre-kindergarten. School records show that only 31% of parents of kindergarteners sent their children to pre- kindergarten.

According to the definition of Parameter and Statistic that I explained above,

A) The Parameter is 31% . This is

because it tell us about percentage ( a sample) of parents whose children are in kindergarten that sent their children to prekindergarten first.

B) The Statistic is 47% . This is because, it tell us about the percentage of parents that sent their children to prekindergarten.

Given:

\(\Delta DHE\sim \Delta DGF\)

To find:

The value of x.

Solution:

We know that, corresponding sides of similar triangles are proportional.

Since,\(\Delta DHE\sim \Delta DGF\), therefore

\(\dfrac{HE}{GF}=\dfrac{DE}{DF}\)

On substituting the values from the figure, we get

\(\dfrac{8}{12}=\dfrac{x}{x+2}\)

\(\dfrac{2}{3}=\dfrac{x}{x+2}\)

On cross multiplication, we get

\(2(x+2)=3x\)

\(2x+4=3x\)

\(4=3x-2x\)

\(4=x\)

Therefore, the value of x is 4.

Just add them both..

Given, the indicated variable is: ab - ac = 2, We have to solve the given equation for a. So the answer is a = 2/(b - c).

Let's do this: Factor out the a from the left-hand side of the equation.

Using the distributive property, we get: a(b - c) = 2

Now, we'll isolate a by dividing both sides by (b - c).

Thus, we get: a = 2/(b - c)

Therefore, the value of the variable a is 2 divided by the quantity of (b - c).

Let's have a look at the steps: ab - ac = 2

a(b - c) = 2

a = 2/(b - c). Hence, we have obtained the value of the variable a by solving the given equation.

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Answer:

Angle ABE = 58

Step-by-step explanation:

This would fulfill the AAA theorem, or 3 angles needing to be congruent. We got 58 by subtracting 89 and 62 from 180, then multiplying that answer by 2 (because it occupies both triangles).

The formula you have given (SS₁ + SS₂) / (n₁+ n₂) is actually the formula for the unweighted average of the variances, which is not appropriate when the sample sizes and variances are different between the two samples.

The formula for pooled variance is:

pooled variance = (SS₁+ SS₂) / (df₁ + df₂)

where SS₁ and SS₂ are the sum of squares for the two samples, df₁ and df₂ are the corresponding degrees of freedom, and the pooled variance is the weighted average of the variances of the two samples, where the weights are proportional to their degrees of freedom.

Note that the denominator is df₁ + df₂ not n₁+ n₂. The degrees of freedom take into account the sample sizes as well as the number of parameters estimated in

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The missing information in the proof is a which is option A.

Given d is the mid point of ab and e is the mid point of ac. Coordinates are point a (2b,2c), point e (ab, c), point c (2a, 0),point b (0,0), point d (b, c).

We have to find the missing proof in the solution.

To find the missing figure we have to just find the distance between point d and point e.

Distance formula for determining the distance between two points on a coordinate plane is given as :

d=\(\sqrt{(y_{2} -y_{1} )^{2} +(x_{2} -x_{1} )^{2} }\)

where (\(x_{1} ,y_{1} ) (x_{2} ,y_{2} )\) are the coordinates at the end of line.

DE=\(\sqrt{(a+b-b)^{2} +(c-c)^{2} }\)

Simplifying this we get:

DE=\(\sqrt{(a^{2} +0^{2} }\)

=\(\sqrt{a^{2} }\)

=a

Hence the missing proof is a which is the distance or length of DE..

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Answer:

8

Step-by-step explanation:

v = -3, w = -4,

vw + w,

Subsitute in (-3) for (v), and (-4) for (w).

(-3)(-4) + (-4)

Simplfiy,

12 + (-4)

12 - 4

8

Answ either

Step-by-step explanation: