in the computer lab, there are 14 desktops and 16 laptops. approximately whta percent of the computers are laptops

Answer:

daddy

Step-by-step explanation:

The sample size if you want to construct a 99% confidence interval estimating the proportion of college students who take a statistics course, with a margin of error of at most 0.028 is 1097 students.

To calculate the necessary sample size, use the formula:

n = (z² * p * (1-p)) / E²

Where: n = sample size, p = estimated proportion of college students who take a statistics course, E = margin of error, z = z-score for the desired confidence interval.

Using a 99% confidence level, the corresponding z-score is 2.576.

Using a margin of error of at most 0.028, E = 0.028.

We do not have an estimate for the proportion of college students who take a statistics course, so we can use 0.5 as a conservative estimate, as this value maximizes the sample size. Thus, p = 0.5.

Plugging in these values, we get:

n = (2.576² * 0.5 * (1-0.5)) / 0.028²

n ≈ 1096.29

Therefore, the necessary sample size is 1097 students.

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Answer:

Step-by-step explanation:

n/3(a + H) = v

n(a+ H) = 3v

a + H = 3v/n

H = 3v/n - a

firm 2's quantity at the Cournot equilibrium is q2=5/3.the inverse demand function: p=10−Q=10−(q1+q2)=10−(11/5+4/5)=4. firm 2's quantity at the new Cournot equilibrium is q2=4/5.

The best response of firm 1 is given by 1q1=5−0.5q21+q2, and the best response of firm 2 is given by 2q2=5−0.5q12+q1. These best response functions are illustrated in the following diagram:
At the Cournot equilibrium, the two firms' quantities will be such that they are both choosing the best response to the other's quantity, which means that they will be producing where the two functions intersect.

Therefore, solving the two best response functions simultaneously for q1 and q2 gives:
q1=q2=5/3
Therefore, firm 2's quantity at the Cournot equilibrium is q2=5/3.
The new best response function for firm 2 is given by 2q2=5−q1+2q22. This is obtained by replacing c2=2 with c2=4 in firm 2's profit function. The new best response function is illustrated below:

At the new Cournot equilibrium, the two firms' quantities will be such that they are both choosing the best response to the other's quantity, which means that they will be producing where the two functions intersect. Therefore, solving the two best response functions simultaneously for q1 and q2 gives:
q1=11/5
q2=4/5
Therefore, firm 2's quantity at the new Cournot equilibrium is q2=4/5.

To determine the market price at the new Cournot equilibrium, we substitute the new equilibrium quantities into the inverse demand function:
p=10−Q=10−(q1+q2)=10−(11/5+4/5)=4
Therefore, the market price at the new Cournot equilibrium is p=4.

In this exercise, we consider a market with two firms, 1 and 2, facing the inverse demand p()=10− p(Q)=10-Q where =1+2Q=q1+q2.

The two firms incur a marginal cost of production c1=c2=2c1=c2=2, produce a homogeneous good, and are Cournot competitors. The best response of firm 1 is given by 1q1=5−0.5q21+q2, and the best response of firm 2 is given by 2q2=5−0.5q12+q1. These best response functions are illustrated in the diagram below:

At the Cournot equilibrium, the two firms' quantities will be such that they are both choosing the best response to the other's quantity, which means that they will be producing where the two functions intersect

. Therefore, solving the two best response functions simultaneously for q1 and q2 gives q1=q2=5/3. Therefore, firm 2's quantity at the Cournot equilibrium is q2=5/3.The new best response function for firm 2 is given by 2q2=5−q1+2q22. This is obtained by replacing c2=2 with c2=4 in firm 2's profit function.

The new best response function is illustrated in the following diagram:At the new Cournot equilibrium, the two firms' quantities will be such that they are both choosing the best response to the other's quantity, which means that they will be producing where the two functions intersect.

Therefore, solving the two best response functions simultaneously for q1 and q2 gives q1=11/5 and q2=4/5. Therefore, firm 2's quantity at the new Cournot equilibrium is q2=4/5

To determine the market price at the new Cournot equilibrium, we substitute the new equilibrium quantities into the inverse demand function: p=10−Q=10−(q1+q2)=10−(11/5+4/5)=4. Therefore, the market price at the new Cournot equilibrium is p=4.

In conclusion, we have analyzed the effect of a raising rival's cost strategy on a Cournot duopoly. We have shown that the strategy reduces firm 2's quantity and increases the market price, but does not affect firm 1's quantity.

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The volume of the right rectangular prism is the amount of cubes in it

The formula to determine the volume of the right rectangular prism is V(n) = n

The question is incomplete; as the figure is not given.

So, I will provide a general solution

The volume of a one inch cube is:

\(V = 1^3\)

\(V = 1\)

Assume the number of one inch cubes used to fill the right rectangular prism is n.

Then the volume of the right rectangular prism would be:

\(V(n) = n * 1\)

This gives

\(V(n) = n\)

Hence, the general formula to determine the volume of the right rectangular prism is V(n) = n

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Answer:

= 1  32/252

Step-by-step explanation:

True. It's because the capacitance between two plates depends on the electric field between them, which is naturally geometry-dependent; if you have charges in different places, you get a different electric field.

A capacitor's capacitance is affected by the area of the plates, the distance between the plates, and the dielectric's ability to support electrostatic forces.
The capacitance of a parallel plate capacitor (depending on its geometry) is given by the formula C=Ad C = A d, where C is the capacitance value, A is the area of each plate, d is the distance between the plates, and is the permittivity of the material between the parallel capacitor's plates.
The curvature of the plates indicates whether the plates are spherical or cylindrical. As a result, the only factor that has no effect on the capacitance of the capacitor is the type of material used to make the plates.

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Answer:

what's the question mam/sir

Step-by-step explanation:

y is 72, give other person brainly! :)

To find the scale factor, let's first find the center of dilation. The dilation center, the vertice of the segment and its image, they all belong to the same line. If we call the center of dilation as O, we know that O, A, and A' are in the same line, and we can affirm the same for O, B, and B' . The center of dilation will be the interception of those two lines.

A and A' both belong to the line x = 6, B and B' both belong to the line y = -2.

This means, our center of dilation is (6, -2).

To find our scale factor, we can use the fact that Lengths of segments

|OA'| and |OA| relate to each other at the scale factor.

Our scale factor is 3/4.

Answer:

Step-by-step explanation:

(2,6)(4,7)

7-6/4-2

m=1/2

y=1/2x+b

6=1/2(2)+b

6=1+b

b=5

y=1/2x+5

Answer:

C. 60 Degrees

Yes , the given statement is true , after implying Pythagoras theorem we conclude that the sides can be 5 cm 12 cm 13 cm.

We can use Pythagoras theorem to check whether the sides of a triangle can measure 5 cm 12 cm 13 cm or not .

The sum of square of two smaller sides should be equal to the third side.

13²   = 12² + 5²

13²   = √144 + 25

13²   =√169

13²   = 13

Therefore, we can conclude that the sides of a triangle can be 5 cm 12 cm 13 cm.

Pythagoras theorem states that the sum of smaller sides could be equal to the larger side. AC²   = AB² + BC².

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For the above question, statement 2 and 4 are true for the given data and after plotting the dot plot and histogram.

As per the question statement, data is showing the number of pieces of mail delivered to a single home address each day for three weeks.

Which is as follows: 4, 0, 2, 6, 1, 0, 3, 4, 0, 2, 4, 1, 5, 2, 3, 1, 1, 2

10 for 3 days, 1 for 4 days, 2 for 4 days, 3 for 2 days, 4 for 3 days, 5 for 1 day and 6 for 1 day.

Statement 1: False because the number line of a dot plot would start at 0.

Statement 2: True

Statement 3: False as it should be 0, 1, 2, 3, 4, 5 and 6

Statement 4: True

Statement 5: False as it should show 3 bars at 0 in histogram

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Answer:

b,d

Step-by-step explanation:

500, 510, 520.20

500/100 = 5 or 1% of 500

5 x 2 = 10 or 2% of 500

500 + 10 = 510

From 500 to 510, we can see that it increase by 2%.

510/100 = 5.1 or 1% of 510

5.1 x 2 = 10.2 or 2% of 510

510 + 10.2 = 520.20.

From 510 to 520.20, we can see that it increase by 2%.

We can conclude that the investment is steadily going up by 2%.

The ball will be in the air for approximately 0.07 seconds.

To find the time the ball will be in the air, we need to determine when the height of the ball is equal to zero since the ball will hit the ground at that point.

Given:

Initial height, c = 3.5 feet

Initial velocity, v = 50 feet/second

We can substitute these values into the equation h(t) = -16t² + vt + c and solve for t when h(t) = 0.

0 = -16t² + 50t + 3.5

To solve this quadratic equation, we can use the quadratic formula:

t = (-b ± √(b² - 4ac)) / (2a)

In this case, a = -16, b = 50, and c = 3.5.

t = (-(50) ± √((50)² - 4(-16)(3.5))) / (2(-16))

Simplifying further:

t = (-50 ± √(2500 + 224)) / (-32)

t = (-50 ± √(2724)) / (-32)

Now, we can calculate the values inside the square root:

t = (-50 ± √(2724)) / (-32)

t = (-50 ± 52.2) / (-32)

This gives us two possible values for t:

t₁ = (-50 + 52.2) / (-32) ≈ 0.07 seconds

t₂ = (-50 - 52.2) / (-32) ≈ - 3.23 seconds

Since time cannot be negative in this context, we discard t₂.

Therefore, the ball will be in the air for approximately 0.07 seconds.

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Answer:

ok what is this a study guide a test or something else?

Step-by-step explanation:

Answer:

$780.57

Step-by-step explanation:

557.55*1.4 = 780.57

Answer:

s**t i'ma be real i don'`t know i was doing imagine math and that question poped up on  my quiz and i got it wrong

Step-by-step explanation:

I Don't Know

Answer:

Both items cost $5 each

Step-by-step explanation:

Given data

let popcorn be x

and drink be y

Mr. Montoya paid $20 for 3 large popcorns and 1 large drink

so

3x+y= 20-------------1

and

Mrs. Cooper bought 3 large popcorns and 3 large drinks and paid $30

so

3x+3y= 30----------------2

solve 1 and 2 above

3x+y= 20

y= 20-3x

put y= 20-3x in eqn 2

3x+3(20-3x)= 30

3x+60-9x= 30

collect like terms

3x-9x= 30-60

-6x= -30

x= 30/6

x= $5

put x= 5 in y= 20-3x

y= 20-3*5

y= 20-15

y= $5

The number of socks that must he take out to be sure that he has at least two socks of the same color is 3.

In a  situation were  three (3) socks are taken from the drawer, at least two (2) socks must have the same color.

Using this formula

P=P(Red)+P(Black)+P(Either red or black)

Where:

P(Red)=1

P(Black)=1

P(Either red or black)=1

Hence:

P=1+1+1

P=3 socks

Therefore the number of socks that must he take out to be sure that he has at least two socks of the same color is 3.

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Converting  the polar coordinates into rectangular coordinates (4,4π/3) is:  (-2, 2√3).

Using this formula to  convert from polar coordinates into  rectangular coordinates

x = r cos(θ)

y = r sin(θ)

Where:

r =  radius

θ = angle in radians

So,

(r, θ) = (4, 4π/3)

Substitute

x = 4 cos(4π/3)

x = 4 (-1/2)

x = -2

y = 4 sin(4π/3)

y = 4 (√3/2)

y = 2√3

Therefore the rectangular coordinates are (-2, 2√3).

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The offered statement states that a rectangle's basic shape has a 45-square-foot area.

An example of a quadrilateral with equal and parallel opposite sides is a rectangle. It is a polygon with four sides and four angles that are each 90 degrees. A parallelogram is a polygon with only two dimensions. To be a square, a rectangle's sides must all have the same length, hence not all rectangles are squares.

Area of rectangle = Length (L) * Width (W)

Area of rectangle = \(\sqrt{15*9*5*3}\)

= \(\sqrt{3*5*3*3*5*3}\)

= 3*5*3

= 45

Consequently, the area of a rectangle in its most basic form is 45.

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Answer:

13

Step-by-step explanation:

To solve this, lets first find the number of footballs he still needs:

75-24 = 51

Now to find the number of packages, divide by 4, since there are 4 balls per package:

51/4 = 12 Remainder 3

Since there is a remainder, and the Coach MUST have at least 75, then we need to add a package to include the remainder:

12 + 1 = 13 Packages

Therefore, the Cartesian coordinates for the polar coordinates (4, -7π/6) are (-2√3, -2).

To find the Cartesian coordinates of the given polar coordinates, we can use the following formulas:

x = r * cos(θ)

y = r * sin(θ)

where r is the radius and θ is the angle in radians.

Let's calculate the Cartesian coordinates and plot the points:

a. (4, 5π/2)

Using the formulas:

x = 4 * cos(5π/2)

y = 4 * sin(5π/2)

x = 4 * 0

y = 4 * (-1)

x = 0

y = -4

Therefore, the Cartesian coordinates for the polar coordinates (4, 5π/2) are (0, -4). Plotting this point on a graph would yield a point at the origin (0, 0) since the x-coordinate is 0 and the y-coordinate is -4.

b. (4, -7π/6)

Using the formulas:

x = 4 * cos(-7π/6)

y = 4 * sin(-7π/6)

x = 4 * (-√3/2)

y = 4 * (-1/2)

x = -2√3

y = -2

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Answer:

4) 25.12in

Step-by-step explanation:

d = 8 inches

\(c = \pi \: d = 3.14 \times 8 = 25.14 \: inches\)

Answer:

b

Step-by-step explanation:

(x - y)² = x² - 2xy + y² → (1)

(x + y)² = x² + 2xy + y² → (2)

Subtract (1) from (2)

(x + y)² - (x - y)² = 2xy - (- 2xy) = 2xy + 2xy = 4xy

Add (x - y)² to both sides

(x + y)² = (x - y)² + 4xy ( take the square root of both sides )

x + y = \(\sqrt{(x-y)^2+4xy}\), that is

x + y = \(\sqrt{6^2+4(16)}\) = \(\sqrt{36+64}\) = \(\sqrt{100}\) = 10 → b

Answer:

the angle is 136*

Step-by-step explanation: hope this heled pls mark braineist

The solution to the differential equation 3y^2 - xy dx using the method for solving homogeneous equations is y = kx^3, where k is a constant.

To solve the given differential equation using the method for solving homogeneous equations, we follow these steps:

Step 1: Rewrite the equation in the form dy/dx = f(x, y), where f(x, y) is a function of x and y.

The given differential equation is 3y^2 - xy dx. Let's rearrange it to the form dy/dx = f(x, y):

dy/dx = (3y^2 - xy) / dx

Step 2: Make the substitution y = vx, where v is a new variable.

Using the substitution y = vx, we can rewrite the equation as follows:

dy/dx = d(vx)/dx

dy/dx = v + x dv/dx

Step 3: Differentiate the substitution y = vx with respect to x.

To differentiate y = vx, we use the product rule:

dy/dx = v + x dv/dx

Step 4: Substitute the expressions obtained in steps 2 and 3 into the differential equation.

Substituting the expressions from steps 2 and 3 into the differential equation, we get:

v + x dv/dx = (3(vx)^2 - x(vx)) / dx

v + x dv/dx = 3v^2x^2 - vx^2

Step 5: Simplify and rearrange the equation.

Rearranging the terms, we have:

x dv/dx = 2v - v^2

Step 6: Separate the variables and integrate.

Separating the variables, we get:

(1 / (2v - v^2)) dv = (1 / x) dx

Integrating both sides, we have:

∫ (1 / (2v - v^2)) dv = ∫ (1 / x) dx

Step 7: Evaluate the integrals and solve for v.

Integrating both sides, we get:

(1/2) ln|2v - v^2| = ln|x| + C1

Step 8: Solve for v.

Taking the exponential of both sides, we have:

2v - v^2 = C2 * x

Step 9: Convert back to the original variable y.

Since y = vx, we substitute vx for y in the equation obtained in step 8:

2y - (y/x)^2 = C2 * x

This is the general solution to the given homogeneous differential equation.

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