if k is subgroup of h, and h is a subgroup of g, must k be a subgroup of g? justify your answer

It is important to carefully evaluate the results of any study before drawing conclusions about the effectiveness of a treatment.

Yes, the result of a study can indicate whether the treatment is effective. However, without knowing the specific study and treatment being referred to, it is impossible to provide a confidence interval. A confidence interval is a range of values that we can be reasonably confident contains the true population parameter based on the data collected from a sample.

It is typically expressed as a range of values with a certain level of confidence, such as 95% or 99%.To determine if a treatment is effective, researchers will typically conduct a study with a treatment group and a control group.

The treatment group receives the treatment being tested, while the control group receives a placebo or another standard treatment.

The researchers then compare the outcomes of the two groups to determine if there is a significant difference that can be attributed to the treatment being tested.

If the results show a significant difference, then the treatment is considered effective.

However, it is important to note that there are many factors that can affect the outcome of a study, such as sample size, study design, and the characteristics of the participants.

Therefore, it is important to carefully evaluate the results of any study before drawing conclusions about the effectiveness of a treatment.

Learn more about Evaluate

brainly.com/question/20067491

#SPJ11

To solve the expression -25 x (84/21) + (-3) x (-6), follow these steps:

Step 1: Perform the division inside the parentheses.
(84/21) = 4

Step 2: Replace the terms and rewrite the expression.
-25 x (4) + (-3) x (-6)

Step 3: Perform the multiplications.
-25 x 4 = -100
-3 x -6 = 18

Step 4: Rewrite the expression and perform the addition.
-100 + 18

Step 5: Calculate the final result.
-100 + 18 = -82

Your answer is -82.

To learn more about expression : brainly.com/question/14083225

#SPJ11

The scale factors for pairs of line segments:

In this problem we four cases of pairs of line segments, where line segment F'G' is the image of line segment FG, that is, the length of the former is a multiple of the length of the latter. That multiple is known as scale factor:

F'G' / FG = k

Where:

Now we proceed to determine the scale ratio for each pair:

Case 1:

k = 6 / 12

k = 1 / 2

Case 2:

k = 12 / 12

k = 1

Case 3:

k = 8 / 12

k = 2 / 3

Case 4:

k = 24 / 12

k = 2

To learn more on scale factors: https://brainly.com/question/29464385

#SPJ1

The system of equations has infinite solutions, both equations represent the same line.

Here we have the following system of equations:

-3x+6y=12

2y=x+4

And we want to solve this by substitution, first, we can rewrite the first equation as:

-3x + 3*(2y) = 12

Now we can substitute the second equation 2y = x + 4 in the parenthesis, we will get:

-3x + 3*(x + 4) = 12

Now we can solve this for x.

-3x + 3x + 12 = 12

12 = 12

So this is true for any value of x, which means that both equations represent the same line (thus the system has infinite solutions).

Learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

Answer: What is the question?

Step-by-step explanation:

What is the question?

Answer:

A)  125.4 yards

Step-by-step explanation:

the diagonal would represent the hypotenuse of a right triangle with legs equal to 115 and 50

115² + 50² = c²

c² = \(\sqrt{15725}\) which is approx 125.4

An area of mathematics that studies how competing parties interact is known as "game theory."

Game theory analyzes strategic decision-making in situations where multiple participants, known as players, make choices that affect each other's outcomes. It examines the interactions, strategies, and outcomes of these competitive or cooperative situations.

Game theory provides mathematical models and frameworks to analyze various scenarios, such as conflicts, negotiations, auctions, voting systems, and economic markets. It studies the behavior of rational players, their objectives, and the choices they make to maximize their own outcomes, considering the actions and reactions of other players.

The field of game theory explores concepts such as strategies, payoffs, Nash equilibrium, dominant strategies, and cooperative or non-cooperative games. It aims to predict and understand the behavior and outcomes of competitive situations and provides insights into decision-making, resource allocation, and the dynamics of interactions between individuals, organizations, or even nations.

Overall, game theory serves as a valuable tool in various disciplines, including economics, political science, psychology, and computer science, to analyze and model situations where competing parties interact.

Learn more about outcomes here:

https://brainly.com/question/32511612

#SPJ11

Answer:

Step-by-step explanation:

2,-1

The coordinated of the point C are (2, -1)

Coordinates are a set of values which helps to show the exact position of a point in the coordinate plane.

Given: In the diagram, point D divides line segment AB in the ratio of 5:3.

Since, line segment AC is vertical then the x coordinate of C will be same as A  (2) and line segment CD is horizontal then the y coordinate of C will be same as D.

Coordinates of A = (2,-6)

Coordinates of B = (10,2)

Section formula:

If a point P(x, y) divides a line segment MN with in ration m:n, then,

x coordinate = mx₂+nx₁ / m+n

y coordinate = my₂+ny₁ / m+n

Using section formula, we have

The y coordinate of C = 5(2)+3(-6) / 8 = (2, -1)

Hence, the coordinated of the point C are (2, -1)

Learn more about coordinate click;

https://brainly.com/question/16634867

#SPJ7

There are 595 boys at the school.

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)

The concept is used in this proportion, multiplication and subtraction.

1. First calculate how many students at the school are girls multiplying the total number of students at the school by the proportion of girls:

1309 × \(\frac{6}{11}\)

= 714 girls.

2. Then to find out how many students at the school are boys, subtract the number of girls from the total number of students at the school, that is:

1309 - 714

= 595 boys

Therefore, there are 595 boys at the school.

To learn more about proportion visit : brainly.com/question/7066283

#SPJ4

The total number of boys in school are calculated by ratios in which total of 1309 students are 595 boys.

The number of boys in the school are found by using ratios and proportions. If two ratios are set equal to each other then they are in proportion. Like for an example if there are 2 girls and 5 boys we could write it as the ratio 2:5 (like for every 2 girls, there are 5 boys)

The concept used here is subtraction and multiplication.

i . Given the number of girls in the school are 6/11 of total number of students in the school , so we can find the number of girls by multiplying the proportion of girls with the total number of students.

6/11 * 1309 = 714 girls.

ii . Then to find the total number of boys in the school, we subtract the number of girls from the total number of students. so, by subtracting the number of girls from total number of students we get number of boys as,

1309-714 = 595 boys

Thus , there are total of 595 boys present in the school

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ4

we can do a triangle to solve the apothem

the upper angle is equal to 360 divided by 8 since 360 ​​is a complete turn and an octagon is composed of 8 equal triangles, so is 45

now we take a triangle from the triangle to apply trigonometric ratios and solve a

the upper angle of the new triangle is the half of the original so is 45/2

now i will use the trigonometric ratio of tangent

where alpha is the angle, O the opposite side drom the angle and a the adjacent side from the angle

so replacing

and solve for a

the aphotem is 8.4

and the formula of the area of the octagon is

where a is the aphotem and l the measure f each side so 7

replacing

the area is 235.2 square units

Answer:

Step-by-step explanation:

x^4 - 6x^3 -5x^2 +42x +40

Answer:

Step-by-step explanation:

(x²-3x-1)² = (x²)² + (-3x)² + (-1)²+ 2(x²)(-3x)+2*(-3x)(-1)+2*(-1)(x²)

= x^4 +9x² +1 -6x³ +6x -2x²

=x^4 - 6x³ + 9x² -2x² + 6x + 1

=x^4 - 6x³ + 7x² + 6x + 1

(x²-3x-1)²-12(x²-3x-1)+27 = x^4 - 6x³ + 7x² + 6x + 1 - 12x²  + 36x + 12 + 27

                                      =x^4 - 6x³ + 7x²  - 12x²  + 6x +36x  + 1 + 12 +27

                                      =x^4 - 6x³ - 5x²  + 42x + 40

Answer:

6558.75

Step-by-step explanation:

total value of 100 logs = total value of an average log x 100 total value of an average log = length of an average log x price per board foot

8.25 x 7.95 = 65.5875

65.5875 x 100 = 6558.75

Answer:

165 inches, or 13 feet and 9 inches

Step-by-step explanation:

Because the ratio of the model to the actual car is 1:10, you know that the actual car is ten times bigger than the model. You can multiply the length of the model by ten to get the length of the actual car with this information.

16.5 x 10 = 165 inches

If you're being asked to convert to feet, do so by dividing by twelve and taking the remainder as your remaining inches.

165 / 12 = 13 r 9, meaning 13 feet and 9 inches

Let me know if you need more of an explanation for anything!

1000 cubic centimeters would need to be placed in a tub of water to displace 1 Lter of water

Conversion of units simply refers to the method used in determining the equivalent of one unit in relation to another.

From the information given, we have that;

Number of cubic centimeters that would be placed in a tub of water to displace 1 L of water

So, we have that there is 1 liter of water in the tub

In order to displace, you need to put something in that is the same amount

Now, let's convert the units

1 liter = 1000 cubic cm

Hence, you need 1000 cubic cm to displace 1 liter

Learn more about conversion of units at: https://brainly.com/question/141163

#SPJ1

Answer:

y=-3.2x+6

Step-by-step explanation:

Answer:

B. (x - 4) (x - 1 )

Step-by-step explanation:

hopes this helps

sorry if this is wrong :/

The value of x as the compound interest is approximately 3.923%.

We have,

To find the value of x, we can use the compound interest formula:

\(A = P(1 + r/n)^{nt}\)

Where:

A = Final amount

P = Principal amount (initial investment)

r = Annual interest rate (as a decimal)

n = Number of times interest is compounded per year

t = Number of years

Given information:

P = £3500

r = 2% = 0.02 (for the first year)

t = 3 years

A = £3855.76

We can split the calculation into two parts:

The first year and the remaining two years.

For the first year:

A1 = P (1 + r/1)^(1 x 1)

A1 = £3500(1 + 0.02)^1

A1 = £3500(1.02)

A1 = £3570

For the remaining two years:

A2 = A1(1 + x/1)^(1 x 2)

A2 = £3570(1 + x/100)²

Now, we can set up an equation using the given final amount A and solve for x:

£3855.76 = £3570(1 + x/100)²

Dividing both sides by £3570:

1.08 = (1 + x/100)²

Taking the square root of both sides:

√1.08 = 1 + x/100

Simplifying:

1.03923 ≈ 1 + x/100

Subtracting 1 from both sides:

0.03923 ≈ x/100

Multiplying both sides by 100:

3.923 ≈ x

Approximately, x ≈ 3.923

Therefore,

The value of x is approximately 3.923%.

Learn more about compound interest here:

https://brainly.com/question/13155407

#SPJ1

Answer:

4,6,14,18, and 20

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

The critical value of z for each hypothesis  test is 2.326

In this question, we are asked to use Excel to find the critical value of z for each hypothesis test. We are given a 2 percent level of significance for a two-tailed test. To find the critical value, we can use the NORM.S.INV function in Excel. The syntax for this function is =NORM.S.INV(probability).

We can enter the probability as 1 - (alpha / 2) for a two-tailed test, where alpha is the level of significance. We can then round the result to three decimal places.

To find the critical value for a 2 percent level of significance, two-tailed test, we can follow these steps:

Step 1: Calculate the value of alpha

Alpha = 2% = 0.02

Step 2: Calculate

1 - (alpha / 2)1 - (alpha / 2)

= 1 - (0.02 / 2)

= 0.99

Step 3: Use the NORM.S.INV function in Excel=NORM.S.INV(0.99)

This gives us a critical value of z = 2.326.

Therefore, the critical value of z for the hypothesis test with a 2 percent level of significance and a two-tailed test is 2.326.

To learn more abouth hypothesis test: https://brainly.com/question/25263462

#SPJ11

1.46% probability that fewer than 700 children received their vaccine.

What is probability?

The proportion of favorable cases to all possible cases is used to determine how likely an event is to occur.

Here, we have

95% of children have received their DTaP vaccine p = 0.95

Sample of 750, n = 750

For the approximation, the mean and the standard deviation are given by:

u = np = 750×0.95 = 712.5

σ = \(\sqrt{np(1-p)}\)

σ = \(\sqrt{750(0.95)(0.05)}\)

σ = 5.97

Using continuity correction, the probability that fewer than 700 children received their vaccine is P(X < 700 - 0.5) = P(X < 699.5), which is the p-value of Z when X = 669.5.

Z = X-u/σ

Z = 669.5 - 712.5/5.97

Z = - 2.18

The p-value of Z = - 2.18 is 0.0146.

Hence, 1.46% probability that fewer than 700 children received their vaccine.

To learn more about the probability from the given link

https://brainly.com/question/24756209

#SPJ4

The Euler method with a step size of h = 0.5, the approximate numerical solution for the ODE is y(1.5) ≈ -1.1198 x 10^9.

To solve the ODE using the Euler method, we divide the interval into smaller steps and approximate the derivative with a difference quotient. Given that the step size is h = 0.5, we will perform three steps to obtain the numerical solution.

we calculate the initial condition: y(0) = -2.

1. we evaluate the derivative at t = 0 and y = -2:

y' = 3(0) - 10(-2)² = -40

Next, we update the values using the Euler method:

t₁ = 0 + 0.5 = 0.5

y₁ = -2 + (-40) * 0.5 = -22

2. y' = 3(0.5) - 10(-22)² = -14,860

Updating the values:

t₂ = 0.5 + 0.5 = 1

y₂ = -22 + (-14,860) * 0.5 = -7492

3. y' = 3(1) - 10(-7492)² ≈ -2.2395 x 10^9

Updating the values:

t₃ = 1 + 0.5 = 1.5

y₃ = -7492 + (-2.2395 x 10^9) * 0.5 = -1.1198 x 10^9

Therefore, after performing three steps of the Euler method with a step size of h = 0.5, the approximate numerical solution for the ODE is y(1.5) ≈ -1.1198 x 10^9.

Learn more about  Euler method here:

https://brainly.com/question/30459924

#SPJ11

We need to  know about margin of error to solve the problem. The factors that influence margin of error are confidence level and sample size.

Margin of error is a statistic expressing the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result will reflect the result of a census of the entire population. Margin of error is influenced by three factors, confidence level, sample size and population standard deviation. In absence of population standard deviation, the margin of error is influenced by confidence level and sample size.

Therefore the margin of error is influenced by confidence level and sample size.

Learn more about margin of error here:

https://brainly.com/question/10218601

#SPJ4

Answer:

Part A:

You are given the amount of money Madison can spend and the price per pound for the potatoes. To find how many pounds Madison can buy, you would need to divide the amount of money she has by the price per pound.

The equation would be Pounds of potatoes = 6.50 / 0.50

Part B:

The only step required to solve the equation from part A is division.

Dividing 6.50 by 0.50 = 13. This means Madison can buy 13 pounds of potatoes.

Answer:

x<-10

Step-by-step explanation:

4x-12-5x>-2

-1x-12>-2

    +12 +12

-1x>10

-1x/-1>10/-1

x<-10

u switch the inequality when the number is divided by a negative number btw:) hope this helped:D

According to the given statement the width of the walkway (x) is 8 feet.

Four of the sides of a square's two-dimensional form are equal in length. In a square, all four internal angles were right angles, and the opposing sides are parallel to one another. Real-world examples of square-shaped things include floor tiles, tea towels, hexagonal tiles, cheddar cheese, and so on.

Area of a Square = (side)(side)

Total area of the pool and walkway = 506 sq. ft

Length of the pool and walkway = 7 + 2x

Width of the pool and walkway = 6 + 2x

Thus, we will have the equation of the total area as:

(7 + 2x)(6 + 2x) = 506

4x² + 12x + 14x + 42 = 506

4x² + 26x + 42 = 506

4x² + 26x + 42 - 506 = 0

4x² + 26x - 464 = 0

2x² + 13x - 232 = 0

\(x = - \frac{\sqrt{169 + 1856}}{4}- \frac{13}{4} ,\\\\\quad x = \frac{\sqrt{2025}}{4} - \frac{13}{4} \\\\\quad x = \frac{45}{4}- \frac{13}{4} \\\\\)

x = 8

so, the width of the walkway (x) would be 8 feet.

To know more about square visit:

https://brainly.com/question/27695135

#SPJ1

option C is the correct answer. sin β = 15 / 17

Given data

Right angled triangle has sides

opposite = 15

adjacent = 8

Hypotenuse = 17

sin β = opposite / hypotenuse

substituting the values gives

sin β = 15 / 17

Read more on SOH CAH TOA here: https://brainly.com/question/20020671

#SPJ1

Answer:

15 grams

Step-by-step explanation:

There is a 50 gram chocolate bar that contains 30% cocoa. So we are basically finding 30% of 50. We break 30 into 3*10 and 50 into 5*10. 5*3 = 15.

Therefore, there are 15 grams of cocoa in the chocolate bar.

I hope this helps.

The general formula for the total surface area of a right prism is T. S. A. =ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base.

The dimensions of the kennel and the size of the cylinder indicates;

4.1.1. The two 3D objects which the figure consists of are a triangular prism that lays on top of a rectangular prism at the bottom.

4.1.2. The area of the wood needed to build the dog kennel is approximately 2.85 m²

4.1.3. The number of containers of sealant needed to paint one coat on the dog kennel is approximately 2 containers

4.2. The new height of the water in the container will be approximately 18 cm.

The surface area of a solid is found by adding together the area of the surfaces that enclose the solid.

4.1.1. The two 3D objects in the figure are;

4.1.2. The amount of wood needed is found by finding the surface area, A, of the dog kennel as follows;

A = 2×80×60+2×50×60+50×80+2×0.5×80×40+2×√(40²+40²)×50

A = 22800 + 80·√2×50 = 22800 + 4000·√2

The amount of wood needed = (22800 + 4000·√2) cm²

1 m² = 10,000 cm²

(22800 + 4000·√2) cm² = ((22800 + 4000·√2))/10,000 m²

((22800 + 4000·√2)) cm² = (2.28 + 0.4·√2) m² ≈ 2.85 m²

4.1.3. 500 milliliters of paint is enough to for 1.5 m² area

The number of containers of paint containers required, n, is therefore;

\(n = \dfrac{(2.28 + 0.4\cdot \sqrt{2}) \, m^2 }{1.5 \, m^2/container} = (1.52+0.\overline 6\cdot\sqrt{2} ) \, containers \approx 2 \, containers\)

4.2 Diameter of the base of the water container = 20 cm

Radius of the base = (20 ÷ 2) cm = 10 cm

Height of water in the container = 15 cm

Volume of water added = 1,000 cm³

The new height will be 15 + (1,000/(π×10²)) = (15 + 10/π) cm ≈ 18 cm

The height of the water in the container will rise to approximately 18 centimeters

Learn more about the volume and surface area of regular solids here:

https://brainly.com/question/28822252

#SPJ1