Write a real life scenario that is represented by the integer of 15.​

If the sample size is large and the probability of success is not too close to 0 or 1, using the normal distribution to approximate the binomial probability will generally give a more accurate answer than using the binomial tables. However, if the sample size is small or the probability of success is very close to 0 or 1, using the binomial tables may be more accurate.

If the sample size is large (typically, n ≥ 30) and suppose that the probability of success (p) is not too close to 0 or 1, then we can use the normal distribution. As it gives more approximate value to the binomial probability which will generally give a more accurate answer than using the binomial tables.

This is because the normal distribution provides a more precise approximation of the binomial distribution as the sample size increases.

However, if the the probability of success is very close to 0 or 1 or sample size is small then using the binomial tables to calculate the probability directly may be more accurate. In general, it's important to check the conditions for using the normal approximation before using it and to use good judgment in deciding which method is more appropriate for a given problem.

To know more about Probability:

https://brainly.com/question/11234923

#SPJ4

The flux through the circle of radius 3.5 cm the normal to the circle makes an angle of 6° with a line perpendicular to the plates ±0.252 N⋅m²/C.

To find the flux through a circle between the plates, use Gauss's Law. Gauss's Law states that the flux through a closed surface is equal to the total charge enclosed divided by the permittivity of the medium.

The plates are charged with ±21 μC, and the separation between them is 3 mm. The area of the circle is given as 180 cm², and the radius of the circle is 3.5 cm. The normal to the circle makes an angle of 6° with a line perpendicular to the plates.

calculate the flux through the circle using the given information:

Convert the area and radius to meters:

Area = 180 cm² = 0.018 m²

Radius = 3.5 cm = 0.035 m

Calculate the electric field between the plates:

The electric field between two oppositely charged plates is given by:

E = σ / (ε₀ × d)

where σ is the surface charge density, ε₀ is the vacuum permittivity, and d is the separation between the plates.

In this case, the charges on the plates are ±21 μC. Since the charges are spread over the entire area of the plates calculate the surface charge density:

σ = Q / A

where Q is the charge and A is the area of the plates.

σ = ±21 μC / 0.018 m² = ±1166.67 μC/m²

Plugging in the values,

E = ±1166.67 μC/m² / (ε₀ × 0.003 m)

Calculate the electric field component perpendicular to the circle:

The electric field component perpendicular to the circle is given by:

Eₙ = E ×cos(θ)

where θ is the angle between the normal to the circle and a line perpendicular to the plates.

In this case, θ = 6°, so:

Eₙ = E ×cos(6°)

Calculate the flux through the circle:

The flux through the circle is given by:

Φ = Eₙ × A

where A is the area of the circle.

Plugging in the values,

Φ = Eₙ × 0.018 m²

Remember that the electric field (Eₙ) is positive for one plate and negative for the other plate due to the opposite charges. The sign of the flux will depend on the sign of the charge on the plate facing the circle.

Finally, to find the flux in N⋅m²/C,  to convert the units of the electric field from μC/m² to N/C.  that 1 N/C = 1 V/m. So to divide the electric field by the conversion factor of 1 million.

Let's calculate the flux:

Calculate the electric field:

E = ±1166.67 μC/m² / (8.85 × 10⁻¹² F/m ×0.003 m)

Calculate the electric field component perpendicular to the circle:

Eₙ = E ×cos(6°)

Calculate the flux through the circle:

Φ = Eₙ × 0.018 m²

Convert the electric field units to N/C:

E = E / 1,000,000

The values and calculate the flux:

Calculate the electric field:

E = ±1166.67 μC/m² / (8.85 × 10⁻¹² F/m × 0.003 m) = ±14,000,000 V/m

Calculate the electric field component perpendicular to the circle:

Eₙ = ±14,000,000 V/m × cos(6°)

Calculate the flux through the circle:

Φ = Eₙ × 0.018 m²

Convert the electric field units to N/C:

E = E / 1,000,000 = ±14 N/C

Plugging in the values,

Φ = (±14 N/C) × 0.018 m² = ±0.252 N⋅m²/C

To know more about circle here

https://brainly.com/question/12930236

#SPJ4

Answer:

\(\frac{q}{4}\)  

Step-by-step explanation:

An expression for the given phrase "q divided by 4" is \(\frac{q}{4}\).

The given phrase is q divided by 4.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Now, the expression is \(\frac{q}{4}\).

Therefore, an expression for the given phrase "q divided by 4" is \(\frac{q}{4}\).

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ3

Answer:

29

Step-by-step explanation:

551/19=29

The Radical Form (√x)  ,the solutions to the equation √x - 2 + 4 = x are x = 1 and x = 4.

The equation √x - 2 + 4 = x for x, we can follow these steps:

1. Begin by isolating the radical term (√x) on one side of the equation. Move the constant term (-2) and the linear term (+4) to the other side of the equation:

  √x = x - 4 + 2

2. Simplify the expression on the right side of the equation:

  √x = x - 2

3. Square both sides of the equation to eliminate the square root:

  (√x)^2 = (x - 2)^2

4. Simplify the equation further:

  x = (x - 2)^2

5. Expand the right side of the equation using the square of a binomial:

  x = (x - 2)(x - 2)

  x = x^2 - 2x - 2x + 4

  x = x^2 - 4x + 4

6. Move all terms to one side of the equation to set it equal to zero:

  x^2 - 4x + 4 - x = 0

  x^2 - 5x + 4 = 0

7. Factor the quadratic equation:

  (x - 1)(x - 4) = 0

8. Apply the zero product property and set each factor equal to zero:

  x - 1 = 0   or   x - 4 = 0

9. Solve for x in each equation:

  x = 1   or   x = 4

Therefore, the solutions to the equation √x - 2 + 4 = x are x = 1 and x = 4.

To know more about Radical form .

https://brainly.com/question/29153583

#SPJ8

Answer:

The amount she saves is 25% of her income

Step-by-step explanation:

She is paid $11 per hour

She works 9 hours per day

and for 24 days per month

So, she works 9(24) hours per month

= 216 hours per month

Now, she is paid $11 hourly, so for 216 hours,

she will have 11(216) = $2376

Total income = $2376 per month

Saving = $594 per month

As a percentage, we divide the savings by the total income,

savings/(total income) = 594/2376 = 1/4 = 0.25

Hence we get 25%

Answer:

\(r = \sqrt{ {(6 - 2)}^{2} + {(1 - ( - 3))}^{2} } \)

\(r = \sqrt{ {4}^{2} + {4}^{2} } = \sqrt{16 + 16} = \sqrt{32} \)

So the equation of the circle is

\( {(x - 2)}^{2} + {(y + 3)}^{2} = 32\)

The mean is 1.4 and , the standard deviation is 0.6

The mean is calculated by taking the sum of all the values in the table and dividing by the number of values. In this case, the sum of all the values is 22 and there are 22 values.

The standard deviation is calculated by taking the square root of the variance. The variance is calculated by taking the sum of the squared differences between each value and the mean, and dividing by the number of values minus 1. In this case, the variance is 0.36.

In other words, in a group of five adults, we would expect to see 1.4 adults sleepwalking on average. There is also a standard deviation of 0.6, which means that the number of sleepwalkers in a group of five is likely to be between 0.8 and 2.0.

It is important to note that these are just estimates, and the actual number of sleepwalkers in a group of five could be any number.

For such more questions on standard deviation

https://brainly.com/question/24298037

#SPJ8

Note: The complete question is : Refer to the accompanying table, which describes the number of adults in groups of five who reported sleepwalking. Find the mean and standard deviation for the numbers of sleepwalkers in groups of five.

The table is as follows:

Number of sleepwalkers | Probability

---------------------- | --------

0                     | 0.172

1                     | 0.363

2                     | 0.306

3                     | 0.129

4                     | 0.027

5                     | 0.002

Answer:

the ans has to be 6.........

The continuity equation is a fundamental principle in fluid dynamics that expresses the conservation of mass for a fluid. It states that the rate of change of mass in a fluid is equal to the net flow of mass into or out of a given volume. Mathematically, the general expression of the continuity equation is:

∂ρ/∂t + ∇ · (ρv) = 0

where ρ is the fluid density, t is time, v is the fluid velocity, and ∇ · is the divergence operator.

If the fluid is assumed to be incompressible, which means that the density remains constant throughout the flow, the continuity equation simplifies to:

∇ · v = 0

This equation states that the divergence of the velocity field is zero, which implies that the volume flow rate is conserved along any path in the fluid. In other words, if the fluid is incompressible, the rate at which fluid flows into a given volume must be equal to the rate at which it flows out of that volume. The continuity equation is a powerful tool in fluid mechanics that helps to describe the behavior of fluids in a wide range of applications, from weather forecasting to the design of aircraft and ships.

Learn more about fluid dynamics here:

https://brainly.com/question/30578986

#SPJ11

The simplified expression is 2cos²(x) + sinx - 1 = 0

The expression we will be simplifying is

=> 1/sinx+cosx + 1/sinx-cosx = 2sinx/sin⁴x-cos⁴x.

To begin, let us look at the left-hand side of the expression. We can combine the two fractions using a common denominator, which gives us:

(1/sinx+cosx)(sinx-cosx)/(sinx+cosx)(sinx-cosx) + (1/sinx-cosx)(sinx+cosx)/(sinx-cosx)(sinx+cosx)

Simplifying this expression using the distributive property, we get:

(1 - cosx/sinx)/(sin²ˣ - cos²ˣ) + (1 + cosx/sinx)/(sin²ˣ - cos²ˣ)

Next, we can simplify each fraction separately. For the first fraction, we can use the identity sin²ˣ - cos²ˣ = sinx+cosx x sinx-cosx to obtain:

1 - cosx/sinx = (sinx+cosx - cosx)/sinx = sinx/sinx = 1

Similarly, for the second fraction, we can use the same identity to obtain:

1 + cosx/sinx = (sinx-cosx + cosx)/sinx = sinx/sinx = 1

Substituting these values back into the original expression, we get:

1 + 1 = 2sinx/(sin⁴x - cos⁴x)

Now, we can simplify the denominator using the identity sin²ˣ + cos²ˣ = 1 and the difference of squares formula:

sin⁴x - cos⁴x = (sin²ˣ)² - (cos²ˣ)² = (sin²ˣ + cos²ˣ)(sin²ˣ - cos²ˣ) = sin²ˣ - cos²ˣ

Substituting this back into the expression, we get:

2 = 2sinx/(sin²ˣ - cos²ˣ)

Finally, we can simplify the denominator using the identity sin²ˣ - cos²ˣ = -cos(2x):

2 = -2sinx/cos(2x)

Multiplying both sides by -cos(2x), we get:

-2cos(2x) = 2sinx

Dividing both sides by 2, we get:

-cos(2x) = sinx

Using the double-angle formula for cosine, we get:

-2cos²(x) + 1 = sinx

Simplifying this expression, we get:

2cos²(x) + sinx - 1 = 0

To know more about expression here

https://brainly.com/question/14083225

#SPJ4

The slope of the line that passes through (-4, 2) and (-5, 0), in simplest form is calculated as: 2.

The slope of a line (m) = change in y/change in x = y2 - y1/x2 - x1 or rise/run of the line.

Given the following points on the line:

(-4, 2) = (x1, y1)

(-5, 0) = (x2, y2)

Substitute the values into m = y2 - y1/x2 - x1:

Slope (m) of the line = (0 - 2) / (-5 - (-4))

Slope (m) of the line = (-2) / (-5 + 4)

Slope (m) of the line = -2/-1

Slope (m) of the line = 2

Thus, the slope of the line that passes through (-4, 2) and (-5, 0), in simplest form is calculated as: 2.

Learn more about slope of a line on:

https://brainly.com/question/3493733

#SPJ1

Using Algebra operation,

the total revenue from ticket sales on that day is $ 3444..

We have given the following information,

timing of museum for entry is 9:00 am to 5:55pm. i.e 8 hours 55 minutes .

price of ticket for a regular admission= $10

price of ticket for a student admission = $6

30 people's admission in every 5 minutes so,

inclusive there are 9×12=108 five-minute intervals, total of tickets were sold = 108× 30

= 3240

let x student and 3x regular tickets were sold on that day.

then, x+3x= 108× 30 –> x= 3240/4 = 810

put x= 7560 in above formula, for regular admission, 3x=3× 81 = 243

So, the total revenue from ticket sales that day was 243×$10 + 810×$6 = $2430 + $4860

= $7290

Hence, total revenue from tickect sales is $7290.

To learn more about Algebra operation, visit:

https://brainly.com/question/395066

#SPJ4

Answer:

Area of a triangle =L*W

A= 45*15

A=270cm²

Answer:

heptagon; rectangles; heptagonal prism

Step-by-step explanation:

Since the base is a heptagon (hepta- is seven sides), that gets rid of both the pentagon answers. Since the sides are all rectangles, that gets rid of the Heptagon and Triangles answer. :)

Answer: The first graph

Step-by-step explanation:

Graph the absolute value using the vertex and a few selected points.

Hope this helps !

Answer:

The one at the top because the expression would be 6.23x10x10x10x10x10x10x10x10x10x10x10x10= 6,230,000,000,000

Step-by-step explanation:

Answer:

I believe it is the first one because it equals 6230000000000

Step-by-step explanation:

Given:

\(OA=3\) units

\(OA'=9\) units

To find:

The scale factor of the dilation.

Solution:

From the given figure it is clear that the center of dilation is point O. Point A' is the image of point A. So,

\(\text{Scale factor}=\dfrac{OA'}{OA}\)

Putting the given values, we get

\(\text{Scale factor}=\dfrac{9}{3}\)

\(\text{Scale factor}=3\)

Therefore, the scale factor of the dilation is 3.

Answer:

Step-by-step explanation:

common difference d=3-1=2

first term a=1

an=a+(n-1)d

2n-1=1+(l-1)2

2n-1=1+2l-2

2n-1=2l-1

l=n

(i used l for number of terms)

number of terms=n

\(S_{n}=\frac{n}{2} (first ~term+last~term)\\=\frac{n}{2} (1+2n-1)\\=n^2\)

Answer:

\( 8.7 \times {10}^{ - 2} \)

Step-by-step explanation:

\(.087 = 8.7 \times {10}^{ - 2} \\ \)

Answer:

y-2=2(x+3)

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

get the x on the same side.

subtract 2x from both sides

30=3x+9

then get the variables on one side by themselves. subtract 9 from both sides.

21=3x

now divide by 3 on both sides.

there's your answer.

\(\text {Hey! Let's Solve this Equation!}\)

\(\text {\underline {The First Step is to Subtract 2x}}\)

\(\text {2x+30-5x=5x+9-5x}\)

\(\text {Your New Problem Is: -3x+30=9}\)

\(\text {\underline {The Next Step is to Subtract 30}}\)

\(\text {3x+30-30=9-30}\)

\(\text {Your New Problem Is: -3x=-21}\)

\(\text {\underline {The Final Step is to Divide -3}}\)

\(\text {-3x/-3=-21/-3}\)

\(\text {Your Answer Would Be:}\)

\(\fbox {x=7}\)

\(\text {Best of Luck!}\)

1. The balloon's initial temperature was ____ °C.

2. The temperature of the oil is ____ °C.

1. To find the balloon's initial temperature, we can use the combined gas law, which states that the initial pressure times the initial volume divided by the initial temperature is equal to the final pressure times the final volume divided by the final temperature. Given that the volume changes to 76.4% of its initial volume and the final temperature is -80.0 °C, we can solve for the initial temperature. First, we convert the volume change to a decimal by dividing 76.4% by 100, giving us 0.764. Plugging in the values into the combined gas law equation, we can rearrange it to solve for the initial temperature.

2. To determine the temperature of the oil, we can use the ideal gas law, which states that the pressure times the volume divided by the temperature is equal to the gas constant times the number of moles. Since the volume remains constant and we are given the initial and final pressures, we can solve for the temperature. By plugging in the values into the ideal gas law equation and solving for the temperature, we can find the temperature of the oil in °C.

Learn more about Initial temperature

brainly.com/question/2264209

#SPJ11

Answer:

(5 + 2x + 4 + 3)/4 = 5

(12 + 2x)/4 = 5

3 + 1/2x = 5         (multiply by 2

6 + x = 10

x = 4

The numbers are 5, 8, 4 and 3.

Step-by-step explanation:

The function that lets you test if something is true or false and then do different things depending on which result you get is called an "if statement".

In programming, an if statement is a conditional statement that allows you to execute certain code if a specified condition is true, and a different set of code if the condition is false. The syntax for an if statement typically involves the use of a comparison operator (such as "==" for equality or ">" for greater than) to compare a variable or expression to a specific value or set of values. If the comparison evaluates to true, the code inside the if statement is executed. If the comparison evaluates to false, the code inside the if statement is skipped and the program moves on to the next line of code. If statements can also be combined with other statements, such as else statements or nested if statements, to create more complex logic in a program.

Learn more about syntax here:

https://brainly.com/question/11364251

#SPJ11

In the given situation (D) randomized block design was used to experiment with incorporating randomization into this study.

An experimental design known as a randomized block design divides the experimental units into units known as blocks.

The experimental units inside each block are assigned the treatments at random.

We have a fully randomized block design when each block has at least one instance of each treatment.

By ensuring that a crucial predictor of the outcome is fairly distributed amongst research groups to require them to be balanced, something that a completely randomized design cannot guarantee, a randomized block design differs from a completely randomized design.

Therefore, in the given situation (D) randomized block design was used to experiment with incorporating randomization into this study.

Know more about a randomized block design here:

https://brainly.com/question/14727460

#SPJ4

Complete question:

R.A. Fisher, a famous statistician, describes a well-known design in his book, Design of Experiments. Five varieties of wheat were compared to determine which gave the highest yield in bushels per acre. Eight farms were available for planting. Each farm was divided into five plots. For each farm, the five varieties were randomly assigned to the five plots with one variety per plot. The varieties were planted on their assigned plots and their yields were measured and compared.

How was randomization incorporated into this study?

A. All five varieties were randomly assigned to the five plots at each farm.

B. The five varieties were randomly assigned to the eight farms - three varieties were planted twice and two varieties only once.

C. It was not incorporated. The wheat seeds were not randomly selected from the population of wheat seeds.

D. Experiment - randomized block design