Do you have an insatiable craving for chocolate or some other food? since many north americans apparently do, psychologists are designing scientific studies to examine the phenomenon. According to the survey, it was revealed that 97% of the women in the study acknowledged specific food cravings while only 67% of the men did. Assume that 600 of the respondents were women and 400 were men. Find and interpret the 90% confidence interval for the difference between the population proportions.

The statement "If dy/dt=f(t)g(y), the equilibrium solutions can be obtained by finding the solutions to f(t)=0" is not entirely correct.

In a differential equation of the form dy/dt = f(t)g(y), the equilibrium solutions are the constant solutions where dy/dt = 0. These occur when g(y) = 0.

To find the equilibrium solutions, we need to solve g(y) = 0. Once we have found these solutions, we can determine their stability by analyzing the sign of f(t) near these equilibrium values. If f(t) is positive near an equilibrium value, the solution is unstable (i.e., solutions near the equilibrium will move away from it). If f(t) is negative near an equilibrium value, the solution is stable (i.e., solutions near the equilibrium will move towards it).

So, while f(t) = 0 may be useful in some cases for finding equilibrium values, it is not the correct approach for finding all equilibrium solutions in a differential equation of the form dy/dt = f(t)g(y). The equilibrium solutions are found by solving g(y) = 0.

To learn more about differential equation visit: https://brainly.com/question/14620493

#SPJ11

Answer: so the total of her percentage will be $28.21

Step-by-step explanation:you have to go like

120.54%

55.99

65.00

1,050,00

and you will find your answer.

The image of the coordinates after a dilation of (9, −7) by a scale factor of 4 centered at the origin include the following: (36, -28).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage (9, -7) by using a scale factor of 4 centered at the origin as follows:

Coordinate A (9, -7) → Coordinate A' (9 × 4, -7 × 4) = Coordinate A' (36, -28).

In conclusion, the coordinates of the image after a dilation are  (36, -28).

Read more on dilation here: brainly.com/question/20482938

#SPJ1

Answer:

The correct option is;

Add 4 to both sides

Explanation:

Given the equation;

To solve the equation, the first step is to add 4 to both sides of the equation;

Therefore, the correct option is;

Add 4 to both sides

Answer:

x = 5

Step-by-step explanation:

Complementary angles are two angles that add up to 90 degrees. 90 - 54= 36, so 6(x+1), or 6x+6 = 36. You subtract 6 from both sides to get 6x=30, then divide by 6 on both sides to get x=5. So the answer would be x=5.

Answer:

14 students walk

Step-by-step explanation:

40 total

22 girls

18 boys - 7 boys who cycle = 11 boys - 6 who take the bus. That leaves 5 boys who walk.

9 girls walk

5 + 9 = 14 total.

Answer:

Step-by-step explanation:

1) \(r \parallel s\) (given)

2) \(\angle 2\) and \(\angle 4\) are supplementary (angles that form a linear pair are supplementary)

3) \(\angle 4 \cong \angle 8\) (corresponding angles theorem)

4) \(\angle 2\) and \(\angle 8\) are supplementary (substitution)

The area of the shaded sector is 4π square units.

To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.

Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.

Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.

The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.

Plugging in the values, we have A = (90/360) * π * 4².

Simplifying, A = (1/4) * π * 16.

Further simplifying, A = (1/4) * π * 16.

Canceling out the common factors, A = π * 4.

Hence, the area of the shaded sector is 4π square units.

Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.

In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.

For more such questions on area, click on:

https://brainly.com/question/25292087

#SPJ8

(a)The population of interest is the entire university community at Botho University. (b)The sample is the random sample of 200 members. (c)The average time spent in the library, which is 30 minutes, is a statistic because it is computed from the sample and represents a characteristic of the sample, not the entire population.

a) The population of interest in this case would be the entire university community at Botho University. It includes all members of the university community who could potentially spend time in the library.

b) The sample in this case is the random sample of 200 members that was taken from the university community. It represents a subset of the population of interest and is used to make inferences about the larger population.

c) In this case, 30 minutes is a statistic, not a parameter.

A statistic is a value calculated from a sample that describes some characteristic of the sample. In this case, the average time spent in the library, which is 30 minutes, was computed from the sample of 200 members. It represents the average time spent in the library by the sampled members.

On the other hand, a parameter is a value that describes a characteristic of the population. Since the average time spent in the library is based on the sample and not the entire population, it cannot be considered a parameter.

To read more about population, visit:

https://brainly.com/question/30396931

#SPJ11

Answer:

1/2

Step-by-step explanation:

Answer:

3 i  √7

Step-by-step explanation:

sqrt (-63)  = sqrt ( -1 * 3 * 7 *3) =  sqrt (-1) * 3 * sqrt 7 =  3 i sqrt 7  

Answer:

Step-by-step explanation:

2.9 * 3.14 = 9.11 circumference

660.52 Area

In the original game, there are infinitely many Nash equilibria, as any pair of numbers chosen by the players where neither player can increase their payoff by unilaterally changing their choice is a Nash equilibrium.

However, the most commonly studied Nash equilibrium in this game is for both players to choose 0.
In the modified game, where one person choosing a number less than or equal to 10 and the other choosing a number greater than 10 results in both players receiving 0, there are two Nash equilibria: one where both players choose 0 and another where both players choose numbers greater than 10.
Explanation:
(a) In the original game, let's consider the case where both players choose the same number, let's say x. In this case, both players receive x dollars, and neither player can increase their payoff by changing their choice. Therefore, any pair of numbers where both players choose the same number is a Nash equilibrium.

(b) In the modified game, if one player chooses a number less than or equal to 10 and the other chooses a number greater than 10, both players receive 0. In this case, neither player can increase their payoff by unilaterally changing their choice, as both players will still receive 0. Therefore, the Nash equilibria in this game are pairs of numbers where both players choose 0 or pairs of numbers where both players choose numbers greater than 10.
Overall, the original game has infinitely many Nash equilibria, while the modified game has two Nash equilibria: one where both players choose 0 and another where both players choose numbers greater than 10.

To know more about Nash equilibrium refer to:

https://brainly.com/question/31970179

#SPJ11

Answer:

n=7

Step-by-step explanation:

simplify it and u get

12+19n=145

19n=133

n=7

Both Mathew and James are exerting the same amount of force, which is 400 newtons.

Force is a measure of the interaction between two objects and is expressed in newtons (N). In this case, both Mathew and James are exerting a force of 400 newtons. The weight of the sled and the tree stump, both weighing 200 lbs, does not affect the force exerted by Mathew and James.

The weight of an object is the force exerted on it due to gravity. In this context, the weight of the sled and the tree stump is the same, 200 lbs. However, when comparing forces, we consider the amount of force applied by an individual, which is independent of the weight of the object being pushed or lifted.

Therefore, Mathew and James are exerting the same amount of force, which is 400 newtons.

To know more about force, refer here:

https://brainly.com/question/13191643#

#SPJ4

Answer: 3.25 x < 26.50. He ca buy 8 bracelets

Step-by-step explanation:

Omar has a gift card for $40.00.

Omar bought a hat for $13.50

You subtract the following = $40.00 - $13.50 = $26.50

Next He would like to buy souvenir bracelets for his friends.

Each bracelet costs the following = $3.25

Let "x" stand for the number of bracelets he can buy.

This would be the equation 3.25x ≤ 26.50

Now time to solve the inequality.

Dividing both sides by 3.25, we get the following answer X<8.15

The bracelets cannot be in decimal form.

So we round off to nearest whole number.

Which is the following number x ≤ 8

Therefore, we know Omar can buy 8 bracelets.

Hope this helps :)

Answer:

B and D    

Step-by-step explanation:

in D 15x+9=15x+9

in B x=0

Answer:

M=54x+4y

Step-by-step explanation:

This setup represents Henry Makes 54$ every 4 hours. thus =ling how much money he makes an hour. This would be 9

Step-by-step explanation:

FX=3+5+4+3+5+4

=24

N=6

mean (x)=?

Now,

x=FX÷N

=24÷6

=4

Answer:

A) 12

You know:

AB= 3x

AB= 3xAC= 17

AB= 3xAC= 17BC= 2x-3

Therefore, you can put the values in a number line for reference. By doing this you can see that 3x + 2x -3 (or AB +BC) = 17 (or AC)

From here you can set up the equation to be:

17 = 2x - 3 + 3x

and solve for x by combining like terms:

17= 5x-3

adding 3 to both sides:

20=5x

dividing each side by 5:

20/5=5x/5

to get:

x=4

then, you're gonna plug in your x (4) into 3x (your AB) in order to solve for AB:

AB=3x

AB=3x =3(4)

AB=3x =3(4) =12

therefore, your answer is:

AB = 12

The angle opposite the side measuring 11 inches has one solution of approximately 43°. Thus, the correct option is B.

The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. It is given by the formula,

\(\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}\)

where Sin A is the angle and α is the length of the side of the triangle opposite to angle A,

Sin B is the angle and β is the length of the side of the triangle opposite to angle B,

Sin C is the angle and γ is the length of the side of the triangle opposite to angle C.

Using the sine rule, the measurement of the angle of opposite the side measuring 11 inches can be done. Therefore, the measure can be written as,

8/ Sin(30°) = 11/ Sin(θ)

Sin(θ) = [11 × Sin(30°)]/8

Sin(θ) = 0.6875

θ = Sin⁻¹ (0.6875)

θ = 43.4325° ≈ 43°

Hence, The angle opposite the side measuring 11 inches has one solution of approximately 43°. Thus, the correct option is B.

Learn more about Sine Rule:

https://brainly.com/question/17289163

#SPJ1

Answer:

c

Step-by-step explanation:

i think

Answer:

25.5

Step-by-step explanation:

first find the area od the rectangle than the triangle.

to find the area count the number of squares and use A=b*h

than do the same for the triangle using A=.5*b*h

15=3*5

10.5=.5*3*7

10.5+15=25.5

Answer:

the ratio is

miles/hour

= 230/4

= 115/2

so the ratio is 115:2

Answer:

2. Answer is 4 and for 3. P= 1/4s

Step-by-step explanation:

Simply divide the values of one another.

This results you with:

8/2 = 4

12/3 = 4

10/5 = 2 -> I think there was an error or typo here

40/10 = 4

The constant proportion would be 4 because it is constant in every situation for S and P.

The equation would be p= 1/4s because 1 value of p would equal 4 s.