write 25x10 to the power of 6 in standard form

The Poisson distribution is applied to events where the probability of occurrence of a certain number of events in a fixed interval of time, space, or distance is small but not necessarily "very small". False.

The Poisson distribution is used to model events that occur randomly and independently over a continuous or discrete interval of time, space, or distance, such as the number of phone calls received at a call center in an hour, the number of cars passing through a toll booth in a given time period, or the number of emails received per day. The Poisson distribution is characterized by a discrete probability mass function that describes the probability of a certain number of events occurring in a given interval, and it is widely used in probability theory and statistics for modeling events with low to moderate occurrence rates.

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The poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is very small.

Given statement is False.

Because, The Poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is not necessarily very small, but rather where the events occur randomly and independently at a constant average rate.

The Poisson distribution models the number of events that occur in a fixed time interval or within a certain area or volume of space, assuming that the events occur independently of each other and at a constant average rate. It is used in many fields, such as biology, physics, economics, and engineering, to model the occurrence of rare or common events.

The Poisson distribution has several important properties, including:

Its mean is equal to λ, and its variance is also equal to λ.

It is a discrete distribution, meaning that it models only whole numbers of events.

It is often used to model rare or unusual events, but can also be used for events that occur frequently, as long as they occur independently at a constant average rate.

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In the context of topology, the relationship between a topological space, a normal subgroup, and a continuous function are discussed here.

These can be understood as follows:

1. Topological space: A topological space is a set equipped with a collection of subsets called open sets, which satisfy certain properties. These properties include that the empty set and the entire set are open, any union of open sets is open, and the intersection of finitely many open sets is open. Topological spaces provide a framework for studying concepts like convergence, continuity, and compactness.

2. Normal subgroup: In group theory, a subgroup is a subset of a group that is itself a group. A normal subgroup is a special kind of subgroup that has the property that it is preserved under conjugation by elements of the group. In other words, if H is a normal subgroup of a group G, and g is any element of G, then the conjugate of H by g, denoted by gHg⁻¹, is also a subgroup of G.

3. Continuous function: In topology, a function between two topological spaces is said to be continuous if the preimage of every open set in the codomain is open in the domain. Intuitively, this means that small changes in the input result in small changes in the output. Continuous functions play a fundamental role in topology, as they preserve the topological structure of the spaces involved.

Now, let's establish the relationship between these concepts in the topological and metrical senses:

1. In the topological sense:
  - A topological space can have a normal subgroup if it is equipped with an underlying group structure. However, the properties of the topological space alone do not directly determine the existence or nature of a normal subgroup.
  - A continuous function between two topological spaces may or may not respect the group structure. The continuity of a function is determined solely by the open sets in the two spaces, without considering any underlying group structure.

2. In the metrical sense:
  - A topological space can be equipped with a metric, which is a function that measures the distance between elements of the space. In this case, the topological structure is induced by the metric, and concepts like convergence and continuity can be defined in terms of the metric.
  - A normal subgroup in the metrical sense would refer to a subgroup that is preserved under the metric. However, the metric alone does not determine the existence or nature of a normal subgroup.
  - A continuous function in the metrical sense would mean that small changes in the input result in small changes in the output, as measured by the metric.

In summary, the relationship between a topological space, a normal subgroup, and a continuous function depends on the underlying structures and properties involved. While a topological space can have a normal subgroup in the context of an underlying group structure, a continuous function is determined solely by the open sets in the spaces involved, without considering any group structure. In the metrical sense, the metric can induce a topological structure and affect the behavior of normal subgroups and continuous functions.

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Yes,  there is difference between the heights of girls and boys based on the results .

Given,

Confidence level = 90%

Now,

\(H_{0} : u_{1} = u_{2} \\H_{1} : u_{1} \neq u_{2} \\\)

Here,

\(u_{1}\) = Average height of girls of 14 years .

\(u_{2}\) = Average height of 14 year old boys .

Calculate,

Z = \(X_{1} - X_{2}/\sqrt{S_{1}^2/n_{1} + S_{2}^2/n_{2} }\)

Z = 155 - 146 / \(\sqrt{6.1^2/40 + 9.1^2/40}\)

Z = 5.20

Thus test statistics is 5.20 .

Critical value when 90% confidence level

\(\alpha\) = 0.09

\(Z_{\alpha /2} = 1.645\)

Here,

Test statistic value is more than the critical value . So reject the null hypothesis .

Therefore,

Yes, from the results we can say the differences are present in heights of girls and boys .

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Answer:

It's 2

Step-by-step explanation:

Positive 2.

(not -1/2)

The inverse Laplace transform of f(s) is f(t) = e^(7t) * u(t).We are given that:

s^2 - 14s + 49 = f(s) * (s - 7)

We can simplify the left-hand side of the equation as:

(s - 7)^2 = f(s) * (s - 7)

Dividing both sides by (s - 7), we get:

s - 7 = f(s)

Therefore, the Laplace transform of f(t) is f(s) = s - 7.

To find the inverse Laplace transform of f(s), we use the formula:

L^-1{f(s - a)} = e^(at) * L^-1{f(s)}

Applying this formula with a = 7 and f(s) = s, we get:

f(t) = e^(7t) * L^-1{s}

The inverse Laplace transform of s is a unit step function u(t), which is defined as:

u(t) = {

1 for t ≥ 0

0 for t < 0

}

Therefore, the inverse Laplace transform of f(s) = s is:

L^-1{s} = u(t)

Substituting this in our previous equation, we get:

f(t) = e^(7t) * u(t)

Hence, the inverse Laplace transform of f(s) is f(t) = e^(7t) * u(t).

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Note that the angles of the triangle whose vertexes are the centers of the circles are  50.48°, 58.99°, 70.53°.

Three circles with radii 4, 5, and 6 from a triangle whose sides are the sum of their radii in pairs.

Thus, the sides of the triangle are

4 + 5, 4 + 6, and 5+6.

⇒ 9,, 10, 11.

To find the interior angles

CosC = a² + b² + c²/ 2ab

Cost C = (9² + 10² -11²) / (2 x9x10)

= 81 + 100 -121/180

= 60/180

= 1/3

C = 70.53°

Similar

Cos A =  (10² + 11² - 9²) / (2 x10x11)

= 100 + 12181 + /180

= 140/220

= 7/11

A = 50.48°

Cos B = 9² + 11² - 10²/ 2x 9 x 11

= 102/198

B = 58.99°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See attached image.

Look at the attached picture

Hope it will help you....

-pragya~~

Answer:

w=6

Step-by-step explanation:

w-3/4 = 5 1/4

5 1/4 = 5+1/4

if you add 3/4 on both sides

w=5+1/4+3/4

w=5+1

w=6

The statement is false. The correct formula for the monthly payment on a $13,000 5-year car loan with a yearly interest rate of 9.5% compounded monthly is PMT(0.00791667, 60, 13000).

To calculate the monthly payment on a loan, we typically use the PMT function, which takes the arguments of the interest rate, number of periods, and loan amount. In this case, the loan amount is $13,000, the interest rate is 9.5% per year, and the loan term is 5 years.

However, before using the PMT function, we need to convert the yearly interest rate to a monthly interest rate by dividing it by 12. The monthly interest rate for 9.5% per year is approximately 0.00791667.

Therefore, the correct formula for the monthly payment on a $13,000 5-year car loan with a yearly interest rate of 9.5% compounded monthly is PMT(0.00791667, 60, 13000).

Hence, the statement is false.

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Answer:

1st one may be the answer to your question 39% sure

Answer:

the coefficient of 0 indicates that there is no relationship between the two values

Hello,

\(f(x)=3x+3 \Longleftrightarrow y=3x+3\\\\x=3*y+3 \Longleftrightarrow y=\dfrac{x-3}{3} \\\\\boxed{f^{-1}(x)=\dfrac{x-3}{3}}\)

Answer:

the answer will be

n< 80

Step-by-step explanation:

Step-by-step explanation:

\(2 \frac{2}{3} + 1 \frac{1}{5} \\ \frac{8}{3} + \frac{6}{5} \\ \frac{8 \times 5 + 6 \times 3}{15} \\ \frac{4 0 + 18 }{15} \\ \frac{58}{15} \\ 3 \frac{13}{15} \)

Answer:

D

Step-by-step explanation:

Answer:

they both bisect at the same point

Step-by-step explanation:

they are both vertical and congruent

Answer:

follow me and answer my question for 50 points

Step-by-step explanation:

Given:

The geometric sequence is

To find the common ratio,

Hence the common ratio, r is 14/35.

Answer:

37.6 cm

Step-by-step explanation:

5.6m = 560cm

3.8m = 380cm

560/50 = 11.2 cm

380/50 = 7.6 cm

11.2 + 11.2 + 7.6 + 7.6 = 37.6 cm

Answer:

C.

Step-by-step explanation:

please mark me brainliest!!

Answer:

The answer is A

Step-by-step explanation:

Denominator *100* is higher

Answer: g(x + 4) = (x + 4)² + 9(x + 4)

= x² + 8x + 16 + 9x + 36

= x² + 17x + 52

So, an expression for g(x + 4) in the form a2 + ax + b, where a and b are numbers, is 1x^2 + 17x + 52

Step-by-step explanation:

45km

1470,9

3870

0,8

:)))))

Answer:

★45 kilometres

★1470.9 meters

★3870 gram

★0.8 kilograms.

Answer:

The conversion factor is 0.15500031000062; so 1 square centimeter = 0.15500031000062 square inches. In other words, the value in cm2 divide by 6.4516 to get a value in inch2. The calculator answers the questions: 110 cm2 is how many inch2? or change cm2 to inch2. Convert cm2 to inch2.

Conversion result:

1 cm2 = 0.155 inch2

1 square centimeter is 0.155 square inches.

Step-by-step explanation:

The correct option is the 1st one. "The paintings' width to length ratios are equal because the ratio 4 to 6 is equal to the ratio 2 to 3."

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls)

Given that, Two students created paintings for their art class. The canvas size used for each is shown.

4 ft

6 ft

2 ft

3 ft

So the ratio of  width and length of 1st painting = 4:6 = 2:3

And, the ratio of  width and length of 2nd painting = 2:3

Hence, we can conclude that, The paintings' width to length ratios are equal because the ratio 4 to 6 is equal to the ratio 2 to 3.

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The slope of the handicap ramp is 1/2

The slope of the handicap ramp is gotten from the equation for the slope of a line, m with endpoints (x₁, y₁) and (x₂, y₂).

m = (y₂ - y₁)/(x₂ - x₁)

Since one point of the ramp can be identified by the ordered pair (d, 4d) and another point on the ramp is identified by the ordered pair (3d, 5d), we have that (x₁, y₁) = (d, 4d) and (x₂, y₂) = (3d, 5d).

Substituting the values of the variables into the equation, we have

m = (y₂ - y₁)/(x₂ - x₁)

m = (5d - 4d)/(3d - d)

m = d/2d

m = 1/2

So, the slope of the handicap ramp is 1/2

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Answer:

4x² - x - 1

Step-by-step explanation:

(f - g)(x) = f(x) - g(x) , thus

f(x) - g(x)

= 4x² - (x + 1) ← distribute parenthesis by - 1

= 4x² - x - 1

The solution is, 52 ft is the perimeter of the base of the pyramid.

Here, we have,

Given that:

We have an pyramid with square base.

Area of base of the square pyramid = 169

To find:

Perimeter of the base of pyramid = ?

Solution:

First of all, let us have a look at the formula of area of a square shape.

Area = side * side

Let the side be equal to  ft.

Putting the given values in the formula:

169 = a^2

so, a = 13 ft

Now, let us have a look at the formula for perimeter of square.

Perimeter of a square shape = 4  Side

Perimeter = 4 * 13 = 52ft

The solution is, 52 ft is the perimeter of the base of the pyramid.

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complete question:

A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid? A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid?

A standard piece of paper typically has dimensions of 8.5 inches by 11 inches (21.59 cm by 27.94 cm).

These dimensions refer to the North American standard paper size known as "Letter" or "US Letter." It is commonly used for various purposes such as printing documents, letters, and reports. The dimensions are based on the traditional imperial measurement system, specifically the United States customary units. The longer side of the paper is known as the "letter" or "long" side, while the shorter side is called the "legal" or "short" side.

The 8.5 by 11 inch size provides a versatile and widely accepted format for printing and documentation needs.

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Answer:

$6.40

Step-by-step explanation:

Answer:

Step-by-step explanation:

6.4