The director of a marketing department wants to estimate the proportion of people who purchase a certain product online. the director originally planned to obtain a random sample of 2,500 2 , 500 people who purchased the product. however, because of budget concerns, the sample size will be reduced to 1,500 1 , 500 people. What describes the effect of reducing the number of people in the sample?

The number of nodes in a perfect binary tree of height 5 is 63

Given data ,

Let the binary tree be represented as A

Now , the value of A is

A perfect binary tree of height 5 has 6 levels, including the root node.

The number of nodes in a perfect binary tree of height h can be calculated as n = 2^(h+1) - 1.

Therefore, for a perfect binary tree of height 5, the number of nodes is given by A = 2^(5+1) - 1

On simplifying the equation , we get

A = 63

Hence , the number of nodes is A = 63

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

The tangential and normal components of the acceleration when s = 10 m is 40 m/s^2 and 8 m/s^2 respectively.

In the given question, a car is travelling along the road with a speed of 2s m/s, where s is in meters.

We have to determine the tangential and normal components of the acceleration when s = 10 m.

Speed (v) = 2s  

Motion is circular so, Radius of circle = 50m

Tangential acceleration = dv/dt

Tangential acceleration = d(2s) / dt

Tangential acceleration = 2(ds)/dt

Tangential acceleration = 2v

Tangential acceleration = 2(2s)

Tangential Acceleration = 4s

As given s = 10 m

Tangential acceleration = 4 x 10

Tangential acceleration  = 40 m/s^2

Normal acceleration = v^2/ r

Normal acceleration = 4s^2/r

Normal acceleration = {4 x 10^2}/50

Normal acceleration = {4 x 100}/50

Normal acceleration = 400/50

Normal acceleration = 8 m/s^2

To learn more about Tangential and normal acceleration link is here

brainly.com/question/30029917

#SPJ4

The complete question is:

A car is travelling along the road with a speed of 2s m/s, where s is in meters. Determine the tangential and normal components of the acceleration when s = 10 m. Treat the car as a particle

Answer:

x = -5/9

Step-by-step explanation:

9x + 5 = 0

x = -5/9

if this is incorrect then ur question is missing something

The initial value of an exponential function is the y-intercept of the function

The initial value of the exponential function is 2.

From the question, we understand that the exponential function crosses the y-axis at point (0,2)

This means that, the value of y when x = 0 is 2

In other words, the y-intercept is 2.

Hence, the initial value of the exponential function is 2.

Read more about exponential functions at:

https://brainly.com/question/2456547

Answer:

the answer is C

Step-by-step explanation:

just took the test

Answer:

10x + x^4/x-2

Step-by-step explanation:

Combine like terms

(10x + x^4)/(x-2)

Answer:

3510 marbles

Step-by-step explanation:

45 x 6 = 270

270 x 13 = 3510

Hope this helps :)

Answer:3510

Step-by-step explanation:

:)

Answer:

3/2

Step-by-step explanation:

the slope is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.

so, when we have 2 points, we can look at the difference of the x and y coordinates. y difference / x difference is the slope.

going from (3, 4) to (5, 7) changes x by +2 and y by +3.

so, the slope of the line is 3/2

In this equation, the slope (m) is 2.

We have,

In the equation y = 2x + 3, the equation is in the form y = mx + b, where m represents the slope of the line and b represents the y-intercept.

The slope (m) determines the steepness or inclination of the line.

In this case, the slope is 2, which means that for every 1 unit increase in the x-coordinate, the y-coordinate will increase by 2 units.

So, the line represented by this equation is upward-sloping or ascending.

The y-intercept (b) is the value of y when x is equal to 0.

In this equation, the y-intercept is 3, which means that the line intersects the y-axis at the point (0, 3).

By knowing the slope and the y-intercept, we can easily plot points on the line and draw the line on a graph.

Now,

In this equation, the slope (m) is 2.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ1

Answer: 11.1 ft

Step-by-step explanation:

The possible dimensions of rectangular room A are 9 and 3x - 2.

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.

Given:

A fitness center has several rectangular rooms where exercise classes are held.

The area of Room A is 27x − 18 square units.

The area of the rectangle = length x width

27x − 18 = length x width

9 (3x - 2) = length x width.

Therefore, 9 and 3x - 2 are the dimensions.

To learn more about the rectangular;

brainly.com/question/21416050

#SPJ1

Answer:

Step-by-step explanation:

(a) and (b) see diagram

(c) you can see from the graph, the purple line hits the parabola twice which is y=6   or k=6

(d)  Solving simultaneously can mean to set equal

6x - x² = k                        >subtract k from both sides

6x - x² - k = 0                  >put in standard form

- x² + 6x - k = 0               >divide both sides by a -1

x² - 6x + k = 0

(e) The new equation is the same as the original equation just flipped (see image)

(f)  The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal.  I chose new)

discriminant formula = b² - 4ac

equation:   x² - 6x + 6 = 0            a = 1      b=-6    c = 6

discriminant = b² - 4ac

discriminant= (-6)² - 4(1)(6)

discriminant = 36-24

discriminant = 12

Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.

If Sheldon maximizes his profit, he will earn $720.

To maximize his profit, Sheldon needs to find the price that will generate the most revenue while also covering his costs. One way to do this is by calculating the profit for each possible price and selecting the one that yields the highest profit.

To calculate profit, we subtract the total costs from the total revenue. Total revenue is equal to the price multiplied by the number of customers who are willing to pay that price. For example, if Sheldon charges $180, he will have only one customer, while if he charges $160, he will have two customers.

After calculating the profit for each possible price, we find that charging $140 will yield the highest profit of $720. At this price, Sheldon will have five customers, resulting in a total revenue of $700 and a profit of $475 ($700 - $225). By charging any other price, Sheldon's profit will be lower. To learn more about revenue click here: brainly.com/question/26718146

#SPJ11

Step-by-step explanation:

(3760 + 4500 + 2450 + 3990) ÷ 4 = $3,675

John has the same preference as Kim. John loves to eat mango and the banana. Kim loves to eat mango but not the apple. Jim loves to eat banana but not the mango. John and Kim have the same preference for mango.

John's preference for mango can be inferred from the given information that he loves to eat mango and the banana. However, it does not mention anything about his preference for apples. Kim, on the other hand, loves to eat mango but not the apple. This aligns with John's preference for mango.

Among the given children, John and Kim have the same preference for fruits. They both love to eat mango, while John also enjoys eating bananas.

To know more about preference visit-

brainly.com/question/30289518

#SPJ11

Based on the factors, we can conclude that the given model is identifiable. Each parameter, μ_j and ν_k, can be estimated separately for the groups identified by j and k, respectively.

To determine whether the given model is identifiable, we need to assess whether it is possible to uniquely estimate the parameters of the model based on the available data.

In the given model, we have a sample Y_ijk, where i ranges from 1 to n, j ranges from 1 to J, and k ranges from 1 to K. The sample is cross-classified into two groups identified by j and k. The random variable Y_ijk follows a normal distribution with mean μ_j + ν_k and a known variance σ^2.

Identifiability in this context refers to the ability to estimate the parameters of the model uniquely. If the model is identifiable, it means that each parameter has a unique value that can be estimated from the data. Conversely, if the model is not identifiable, it implies that there are multiple combinations of parameter values that could produce the same distribution of the data.

In this case, the model is identifiable. Here's the justification:

1. Independent Groups: The groups identified by j and k are independent of each other. This means that the parameters μ_j and ν_k are estimated separately for each group. Since the groups are independent, we can estimate the parameters uniquely for each group.

2. Known Variance: The variance σ^2 is known in the model. Having a known variance helps in estimating the parameters accurately because it provides information about the spread of the data. The known variance allows us to estimate the means μ_j and ν_k without confounding effects from the variance component.

3. Normal Distribution: The assumption of a normal distribution for Y_ijk implies that the likelihood function for the model is well-defined. The normal distribution is a well-studied distribution with known properties, allowing for reliable estimation of the parameters.

4. Linearity of Parameters: The parameters μ_j and ν_k appear linearly in the model. This linearity ensures that the parameters can be uniquely estimated using standard statistical techniques.

The known variance and the assumption of a normal distribution further support the uniqueness of parameter estimation. Therefore, it is possible to estimate the parameters of the model uniquely from the available data.

Learn more about Variance at: brainly.com/question/30044695

#SPJ11

The probability of getting a fish taco (crunchy or soft) is 0.2.

Probability is identifiable as the measure of the probable likelihood or chance of a particular event manifesting itself. As a matter of mathematical fact, it serves to quantitatively assess and analyze uncertainty in occurrences ranging from gambling and random contests to atmospheric predictions and scientific breakthroughs.

Since there are 20 taco fish out of 100. The probability of getting a fish taco (crunchy or soft) is:

= 20 / 100

= 0.2.

Learn more about probability on

https://brainly.com/question/24756209

#SPJ1

There are 20 taco fish out of 100. What is the probability of getting a fish taco (crunchy or soft) is 0.2.

The Child Health and Development Studies data support the conclusion that there is a difference in weight gain during the second trimester for expectant mothers in the 2015 sample compared to the historical average.

Based on the results of the one-sided T-test with a significance level of 5%, we can conclude that there is statistically significant evidence to suggest that the mean weight increase in the second trimester of expectant mothers in 2015 is greater than 14 pounds. This is supported by the p-value of 0.021, which is less than the significance level of 0.05. Therefore, we reject the null hypothesis that the mean weight increase is equal to 14 pounds and accept the alternative hypothesis that the mean weight increase is greater than 14 pounds.

The most appropriate conclusion is that there is significant evidence to suggest that the mean weight increase in the second trimester for the 2015 sample of expectant mothers is greater than 14 pounds. Since the p - value (0.021) is less than the 5% significance level, we reject the null hypothesis and accept the alternative hypothesis, which states that the mean weight increase is greater than 14 pounds. The Child Health and Development Studies data support the conclusion that there is a difference in weight gain during the second trimester for expectant mothers in the 2015 sample compared to the historical average.

Learn more about second trimester at: brainly.com/question/24174987

#SPJ11

Answer:

75

Step-by-step explanation:

(0.45)(30) = (0.18)x

x = (0.45)(30) / (0.18)

x = 13.5 / 0.18 = 75

Check the answer:

(0.45)(30) = (0.18)(75)

13.5 = 13.5   answer is correct!

Answer:

Step-by-step explanation:

45% of 30 = 18% of some number

In this kind of questions, we usually assume the missing number as as something

Let the number be x

So assuming the number is x, the equation will be as follows:

45% of 30 is equal to 18% of x

45/ 100 * 30 = 18/100 * x

This means that 0.45 *30= 0.18 * x

Therefore, 13.5 = 0.18 x

Thus X = 13.5 / 0.18

Which is equal to 75

Thus 45% of 30 is equal to 18% of 75

Proving the above situation as follows:

45% OF 30 = 13.5

And 18% of 75 = 13.5

Thus both equations are equal.

Solution =75

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Read more about area here:https://brainly.com/question/27440983

#SPJ1

Answer:

The selling price of the bag is $22.5

Step-by-step explanation:

Buying Price = $25,

Selling Price = ?

Since they sold it at a loss of 10%,

So, they sold it for a price 10% less than the buying price,

or at 90% or 0.9 of the buying price,

so,

Selling Price = (0.9)(25) = $22.5

Answer:

44 square root or 288 square root

smaller angle^2 + smaller angle^2 = largest angle^2 (the largest angle is the hypotenuse)

it could be 44 because 11 x 11 = 121

165 - 121 = 44 square root

or 121 + 165 = 288 square root

Hope this helps

Step-by-step explanation:

Answer:

44 square root / 288 square root

Step-by-step explanation brainly please

The calculated length of the segment AD is 14

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

B is the midpoint of AC

BD = 9 and BC = 5

Using the above as a guide, we have the following:

AB = BC = 5

CD = BD - BC

So, we have

CD = 9 - 5

Evaluate

CD = 4

So, we have

AD = AB + BC + CD

substitute the known values in the above equation, so, we have the following representation

AD = 5 + 5 + 4

Evaluate

AD = 14

Hence, the length of the segment AD is 14

Read more about line segments at

https://brainly.com/question/24778489

#SPJ1

Answer:

Step-by-step explanation:

Put 1/5 x 3 and that is the answer

It is important to base design decisions on objective criteria such as user research, usability testing, and data analysis, rather than subjective biases or unfounded beliefs about numbers.

Not supported by any empirical evidence or logical reasoning. There is no inherent power or superiority associated with even numbers over odd numbers in the context of presenting or designing a product or message.

While some people may have personal preferences or cultural associations with even or odd numbers, the power or effectiveness of a product or message is determined by various factors such as its content, design, target audience, and context of use.

Therefore, it is important to base design decisions on objective criteria such as user research, usability testing, and data analysis, rather than subjective biases or unfounded beliefs about numbers.

for such more question on  odd numbers

https://brainly.com/question/14967701

#SPJ11

Answer:

x = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 3x - 1

f(x) = -7

Step 2: Solve for x

The boundary layer is defined as the area of a fluid next to the surface of a solid object where the fluid velocity decreases from zero to the flow velocity.

It is important to note that this is usually the area where turbulence occurs. This has a significant effect on the rate of heat transfer between the object and the fluid.

The velocity of the air is constant at 0.5 m/s and the dimensions of the duct's square cross-section are 30 cm x 30 cm (0.3 m x 0.3 m). The Reynolds number (Re) can be calculated by using the equation;

Re = (ρ * V * L) / μ

where ρ is the density of air, V is the velocity of air, L is the length of the boundary layer and μ is the dynamic viscosity of air.

The density of air is 1.2 kg/m³ and the dynamic viscosity of air is 1.8 x 10^-5 Pa s.

Now, the Reynolds number for this case can be calculated;

Re = (1.2 * 0.5 * 10) / 1.8 x 10^-5

= 3.33 x 10^4

As the Reynolds number is greater than 5 x 10^3, it is clear that the flow is turbulent. The boundary layer thickness can be determined from the equation:

δ = 5.0x (μ / ρv)

= 5.0 x (1.8 x 10^-5 / (1.2 x 0.5))

= 7.5 x 10^-5 m

Therefore, the thickness of the boundary layer at a distance of 10 m from the opening is 7.5 x 10^-5 m.

To know more about flow velocity visit:

https://brainly.com/question/33537450

#SPJ11

Answer:

10 <√111 <11

Step-by-step explanation:

10 <√111 <11

Place given number between two consecutive integers: 10 <√111 <11

Answer: 10 <√111 <11

The mean is 65 inches and the standard deviation is 3 inches.

Given,

In a group of women, the distribution of heights is roughly normal. Women who are shorter than 62 inches in height make up 16% of the population.

The empirical rule, less than μ - σ of 16% of the data is accurate.

P (x < μ - σ) = 16%

μ - σ = 62 → (I)

Approximately 97.5% of the women are under 71 inches in height,

P (x < μ + 2σ) = 97.5%

μ + 2σ = 71 → (II)

By solving (I) & (II);

μ - σ = 62

μ + 2σ = 71

3σ = 9

σ = 3

From (I);

μ - σ = 62

μ - 3 = 62

μ = 65

Hence, Mean = 65 inches

            Standard deviation = 3 inches

To learn more about Mean click here:

brainly.com/question/23631778

#SPJ4