What is the difference between a population and a sample? Give an example of each.

By identifying the y and x-intercepts of the linear equation, we conclude that the correct graph is the third one

We know that the relation between altitude and time is given by the linear equation:

1,500x + y = 35,000

If we isolate y, we get:

y  = -1,500x + 35,000

Notice that when x = 0, we have:

y = -1,500*0 + 35,000

y = 35,000

So the y-intercept is 35,000

And the plane reaches the ground when:

0 = -1,500*x + 35,000

1,500*x = 35,000

x = 35,000/1,500 = 23.3

So it intercepts the x-axis at x  = 23.3

With that in mind, we can see that the correct graph is the third one.

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

The integral of the divergence over the region is equal to the surface integral of the normal component of the vector field over the boundary of the region, verifying the divergence theorem.

The divergence theorem states that the integral of the divergence of a vector field over a region is equal to the surface integral of the normal component of the vector field over the boundary of the region.

For the given vector field, e = rˆ10e −r −zˆ3z, the divergence is 10e−r − 3z. Applying the divergence theorem to the region enclosed by r = 2, z = 0, and z = 4, the integral of the divergence is equal to the surface integral of the normal component of the vector field over the boundary of the region

Integral of the divergence over the region = (10*2π*2*e−2*2*2)−(3*2π*2*3*4) = −64π.

Surface integral of the normal component of the vector field over the boundary of the region = (2π*2*10e−2*2)−(2π*2*3*4) = −64π.

Therefore, the integral of the divergence over the region is equal to the surface integral of the normal component of the vector field over the boundary of the region, verifying the divergence theorem.

Learn more about divergence theorem here:

https://brainly.com/question/10773892

#SPJ4

The coordinates of the midpoint M of segment JK are (-0. 3). The distance between the endpoints of JK is sqrt(104) or approximately 10.198.

To find the coordinates of the midpoint M of segment JK, we can use the midpoint formula, which states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints. So, for segment JK with endpoints J(3, -6) and K(-3, 2), the x-coordinate of the midpoint is (-3+3)/2 = 0 and the y-coordinate of the midpoint is (-6+2)/2 = -2. Therefore, the coordinates of the midpoint M are (0, -2).

To find the distance between the endpoints of JK, we can use the distance formula, which states that the distance between two points with coordinates (x1, y1) and (x2, y2) is given by the square root of [(x2-x1)^2 + (y2-y1)^2]. So for segment JK with endpoints J(3, -6) and K(-3, 2), the distance is sqrt[(-3-3)^2 + (2-(-6))^2] = sqrt[36 + 64] = sqrt(100) = 10. Therefore, the distance between the endpoints of JK is approximately 10.198.

Learn more about Midpoint Formula here: brainly.com/question/17685913

#SPJ11

Answer:

32 would be present and 8 would be absent

Step-by-step explanation:

Answer:

It is

Step-by-step explanation:

imagine that C is 1.

1 - 19x 1

1- 19

-18

The projectile motion equation \(h(t) = - g \cdot {t}^{2} + v_{0}\cdot {t} + h_{0}\), gives;

First part;

Second part;

Third part;

The quadratic equation that represents the projectile motion can be presented as follows;

\(h(t) = - g \cdot {t}^{2} + v_{0}\cdot {t} + h_{0}\)

g = 16 ft./s² or 9 m/ s²

First part;

When

\( v_{0} = 0 \: and \: h_{0} = 100 \: ft.\)

We have;

h(t) = -16•t² + 100

When the object hits the ground, we have;

h(t) = 0, which gives;

0 = -16•t² + 100

Therefore;

16•t² = 100

t² = 100 ÷ 16 = 25/4

t = √(25/4) = 5/2 = 2.5

Second part;

The direction in which the object is thrown = Upwards

Initial height of the object, \( h_{0} = 6 \: ft\)

Initial speed of the object, \( h_{0} = 30 \: ft/sec\)

The equation of the projectile motion is therefore;

h(t) = -16•t² + 30•t + 6

Which gives;

When the object is at its starting height of 6 feet, h(t) = 6, which gives;

6 = -16•t² + 30•t + 6

-16•t² + 30•t = 0

A solution to the above equation is t = 0

The other solution is found as follows;

-16•t² + 30•t = 0

-16•t + 30 = 0

30 = 16•t

t = 30/16 = 1.875

Third part;

When the object hits the ground, we have;

h(t) = 0, which gives;

0 = -16•t² + 30•t + 6

Which gives;

t ≈ 2.06

Learn more about projectile motion here:

https://brainly.com/question/14523670

#SPJ1

Answer:

x can be any natural number.

Step-by-step explanation:

If we try 0 for x, here's what happens:

2(0)4

0 (4) = 0

0 > 4 is not true

Once x is greater than 0, a natural number, it satisfies the conditions and therefore, can be substituted for x.

The number of conference games scheduled is 280.

A combination is a selection of all or a portion of a group of items, regardless of the sequence in which the items are chosen.

Given:

The Little Twelve Football Conference has two divisions,

with ten teams in each division.

Each team plays each of the other teams in its own division twice, and every team in the other division once.

The number of conference games scheduled,

= ¹⁰C₂ x 2 + 10 x 10

= 90 x 2 + 100

= 280 games.

Therefore, 280 games are scheduled.

To learn more about the combination;

https://brainly.com/question/29594894

#SPJ1

Answer:

4 people

Step-by-step explanation:

Let's first write an equation.

We want to find the number of tickets t

The total was $49 so our equation will equal $49 and they spent $15 in snacks so on the other side of the eqaution we have to add $15, on the same side as the snacks we need to add in the cost of tickets, which is $8.50 multiplies by t, or the total number of tickets.

$49 = $8.50t + $15

Solve for t, first subtract $15 from both sides.

$49 - $15 = $8.50t

$34 = $8.50t   Divide both sides by $8.50

$34/$8.50 =  $8.50t/$8.50  

$34/$8.50 = t

4 = t

4 tickets meaning 4 people went.

Lines x + 5 = 0 and y = 4x + 4 intersect on a standard (x, y) coordinate plane.

To find the y-coordinate of the point where the two lines intersect.

given lines  are x +5 =0 and y=4x+4

we need to find point of intersection at point of intersection both line will have same point

Let point of intersection be (a,b)

then

a+5 = 0 and b = 4a+4

from 1st equation we have

a = -5

from the 2nd

b = 4a+4

b = 4(-5)+4

b = -20+4

b = -16

Hence y coordinate of point of intersection is -16

To learn more about coordinate plane click here https://brainly.com/question/10737082

#SPJ4

Answer:

-1<=X<=9

Step-by-step explanation:

The inequality is given as the negative 1 < x < 9.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

A number x is at least -1 and no more than 9. Then the inequality is given as

- 1 < x < 9

The inequality is given as the negative 1 < x < 9.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

Answer:

12

Step-by-step explanation:

The result of the following expression is -17.1 but the result of the corrected expression is 0. To understand why, let's break down the expression.

First, we have the value 2.5 4, which is a shorthand way of writing 2.54. So, the expression can be rewritten as:

double d = 2.54 * -1.5 - (2.54 * -1.5);

Next, we can simplify the multiplication:

double d = -3.81 - (-3.81);

The expression in the parentheses is equivalent to multiplying 2.54 by -1.5, which gives us -3.81. So, we can simplify further:

double d = -3.81 + 3.81;

The two terms in the expression cancel each other out, leaving us with a final result of 0.

Wait, what happened? Didn't we say the result was -17.1?

Yes, we did. But that's because there's an error in the original expression. The problem is with the spacing around the decimal point.

In Java (and many other programming languages), a decimal point is represented by a period, not a space. So, when we rewrite the expression with the correct syntax, we get:

double d = 2.54 * -1.5 - (2.54 * -1.5);

Now, if we simplify the multiplication and follow the rest of the steps as before, we get:

double d = -3.81 - (-3.81);
double d = -3.81 + 3.81;
double d = 0;

Therefore, the result of the corrected expression is 0.

Learn more about parentheses here:

brainly.com/question/30967796

#SPJ11

Answer:

y= ½x +5

Step-by-step explanation:

Slope- intercept form:

y= mx +c, where m is the slope and c is the y- intercept

Given that the slope is ½, substitute m= ½ into the equation.

y= ½x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= -2, y= 4,

4= ½(-2) +c

4= -1 +c

c= 4 +1

c= 5

Hence, the equation of the line is y= ½x +5.

The statement that is true of the sample size for nonprobability samples is that it is typically small.

Nonprobability sampling methods are often used when it is not feasible or practical to obtain a large sample that is representative of the population.

Nonprobability samples are selected based on criteria other than random selection, such as convenience, judgment, or purposive sampling. These methods are commonly used in qualitative research or when studying hard-to-reach populations.

Since nonprobability samples do not guarantee representativeness, the focus is often on in-depth exploration rather than generalization to a larger population. As a result, researchers often work with smaller sample sizes that are more manageable and allow for in-depth analysis of the selected cases or individuals.

To learn more about nonprobability click here:

brainly.com/question/29062631

#SPJ11

\(15^{4x-8} =1\\\\\implies 15^{4x-8} = 15^0\\\\\implies 4x -8 = 0\\\\\implies 4x = 8\\\\\implies x = \dfrac 84\\\\\implies x =2\)

Answer:

The slope is (1/5)

Step-by-step explanation:

See attached

The solution to the system of differential equations is x(t) = -\(3e^{(31t)\) and z(t) = -\(3e^{(31t\)).

To solve the given system of differential equations, we'll begin by finding the eigenvalues and eigenvectors of the coefficient matrix.

The coefficient matrix is A = [[-22, 54], [-9, 23]]. To find the eigenvalues λ, we solve the characteristic equation det(A - λI) = 0, where I is the identity matrix.

det(A - λI) = [[-22 - λ, 54], [-9, 23 - λ]]

=> (-22 - λ)(23 - λ) - (54)(-9) = 0

=> λ^2 - λ(23 + 22) + (22)(23) - (54)(-9) = 0

=> λ^2 - 45λ + 162 = 0

Solving this quadratic equation, we find the eigenvalues:

λ = (-(-45) ± √((-45)^2 - 4(1)(162))) / (2(1))

λ = (45 ± √(2025 - 648)) / 2

λ = (45 ± √1377) / 2

The eigenvalues are λ₁ = (45 + √1377) / 2 and λ₂ = (45 - √1377) / 2.

Next, we'll find the corresponding eigenvectors. For each eigenvalue, we solve the equation (A - λI)v = 0, where v is the eigenvector.

For λ₁ = (45 + √1377) / 2:

(A - λ₁I)v₁ = 0

=> [[-22 - (45 + √1377) / 2, 54], [-9, 23 - (45 + √1377) / 2]]v₁ = 0

Solving this system of equations, we find the eigenvector v₁.

Similarly, for λ₂ = (45 - √1377) / 2, we solve (A - λ₂I)v₂ = 0 to find the eigenvector v₂.

The general solution of the system is x(t) = c₁e(λ₁t)v₁ + c₂e(λ₂t)v₂, where c₁ and c₂ are constants.

Using the initial condition x(0) = -3, we can substitute t = 0 into the general solution and solve for the constants c₁ and c₂.

Finally, substituting the values of c₁ and c₂ into the general solution, we obtain the particular solution for x(t).

Since z(t) = x(t), the solution for z(t) is the same as x(t).

Therefore, the solution to the system of differential equations is x(t) = \(-3e^{(31t)\) and z(t) = -\(3e^{(31t)\).

For more such questions on equations, click on:

https://brainly.com/question/17145398

#SPJ8

Step-by-step explanation:

1st picture:

a) Red dots on -5 and 5

b) Red dots on -2 and 2

c) No solution

2nd picture:

8 and -8 because |x| gives the distance between zero to 8

In linear equation, 3437.5  feet - lbs is the work done to haul the anchor .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Anchor  weighing = 100 lbs

   given 3  lb/ft

  the combined weight  = 3( 25 -y ) + 100

                                 = 175 - 3y

    the workdone on small solution is = (175 - 3y)Δy

                      w = ∫₀²⁵ (175 - 3y) dy

                        = 175[y]²⁵₀- 3/2[y²]²⁵₀

                       = 175 [ 25 - 0 ] - 3/2 [ 25²- 0²]

                       = 3437.5  feet - lbs

Learn more about linear equation

brainly.com/question/29739212

#SPJ4

The equation of the circle with center (-6,0) and containing the point (-12,-√13) is: \(x^2 + 12x + y^2 = 13\)

What is equation of a circle?

The equation of a circle with center (h, k) and radius r is given by:

\((x - h)^2 + (y - k)^2 = r^2\) where (x, y) is any point on the circle. This equation represents all points (x, y) that are at a fixed distance r from the center (h, k).

The distance between the center and the given point is the radius:

\(r = \sqrt{[(x2 - x1)^2 + (y2 - y1)^2}\\r = \sqrt{ [(-12 - (-6))^2 + (-√13 - 0)^2}\\r = \sqrt{36 + 13}\\r = \sqrt{49}\\r = 7\)

Substituting the center and radius into the equation of the circle, we get:

(x + 6)^2 + y^2 = 7^2

Simplifying, we get:

\(x^2 + 12x + 36 + y^2 = 49\)

Hence, The equation of the circle with center (-6,0) and containing the point (-12,-√13) is: \(x^2 + 12x + y^2 = 13\)

Learn more about equation of a circle, by the following link.

https://brainly.com/question/1506955

#SPJ1

Answer:

The linear equation is y = 450 - 30 x, where y is the number of pages

Lourdes has left to read after x days

Step-by-step explanation:

Each day, Lourdes reads 30 pages of a 450-page book

- We need to write a linear equation to represent the number of pages

 Lourdes has left to read after x days

∵ Lourdes reads 30 pages each day

∵ Lourdes will read for x days

∴ The number of pages Lourdes will read in x day = 30 x

- The left pages will be the difference between the total pages of the

 book and the pages Lourdes read

∵ The book has 450 pages

∵ Loured will read 30 x in x days

∴ The number of pages left = 450 - 30 x

- Assume that y represents the number of pages Lourdes has left

 to read after x days

∴ y = 450 - 30 x

The linear equation is y = 450 - 30 x, where y is the number of

pages Lourdes has left to read after x days

Answer:

17.0

Step-by-step explanation:

It's a whole number, the decimal goes to the back.

To solve this problem, we need to set up a system of equations based on the given information. Let's assume that the farmer needs x cubic yards of mix a and y cubic yards of mix b.

For phosphoric acid, the equation would be:
x * pounds of phosphoric acid in mix a + y * pounds of phosphoric acid in mix b = pounds of phosphoric acid required

For nitrogen, the equation would be:
x * pounds of nitrogen in mix a + y * pounds of nitrogen in mix b = pounds of nitrogen required

For potash, the equation would be:
x * pounds of potash in mix a + y * pounds of potash in mix b = pounds of potash required

We can solve this system of equations using substitution or elimination method. Once we find the values of x and y, we can calculate the total cost.

Since the question asks for the answer in more than 100 words, I'll provide an explanation for the solution process.

1. Set up the equations using the given information.
2. Solve the system of equations to find the values of x and y.
3. Substitute the values of x and y into the cost equation to find the total cost.

The solution to the problem is to blend x cubic yards of mix a and y cubic yards of mix b to meet the minimum monthly requirements at a minimum cost. The total cost can be calculated by substituting the values of x and y into the cost equation.

To know more about  equations   visit

https://brainly.com/question/14686792

#SPJ11

To determine the necessary sample size to obtain an interval width of 50 ppm for a confidence level of 95%, we need to use the formula for sample size calculation for estimating a population mean.

The formula for sample size calculation is:

n = (Z * σ / E)^2

In this case, the desired margin of error is 50 ppm, which means the interval width is 2 * E = 50 ppm. Therefore, E = 25 ppm.

The Z-score corresponding to a 95% confidence level is approximately 1.96.

Given that the investigators made a rough guess of 175 for the value of σ (standard deviation) before collecting data.

We can substitute these values into the sample size formula:

n = (1.96 * 175 / 25)^2

Simplifying the calculation:

n = (7 * 175)^2

n = 1225^2

n ≈ 1,500,625

Therefore, a sample size of approximately 1,500,625 would be necessary to obtain an interval width of 50 ppm for a confidence level of 95%.

To obtain an interval width of 50 ppm with a confidence level of 95%, a sample size of approximately 1,500,625 is required. This is calculated using the formula for sample size estimation, considering a desired margin of error of 25 ppm and a standard deviation estimate of 175. The Z-score corresponding to a 95% confidence level is used to determine the sample size.

Learn more about sample size calculation here : brainly.com/question/30187155

#SPJ11

The function f(x, y) satisfies the conditions that its limit approaches zero as x approaches zero along two different paths: y = x and y = x^2. This implies that as x approaches zero, the function f(x, y) must approach zero regardless of whether y varies linearly or quadratically with x.

The given conditions state that the limit of f(x, y) as x approaches zero along the path y = x is zero. This means that as x gets arbitrarily close to zero, the function f(x, y) approaches zero when y varies linearly with x. Similarly, the second condition states that the limit of f(x, y) as x approaches zero along the path y = x^2 is also zero. This implies that when y varies quadratically with x, the function f(x, y) still approaches zero as x approaches zero. Therefore, the function f(x, y) must satisfy both conditions by converging to zero as x approaches zero along both paths.

To learn more about function click here: brainly.com/question/30721594

#SPJ11

Sarah's final position would be negative. Therefore, option B is the correct answer.

Given that, Sarah starts at a positive position along the x-axis. She then undergoes a negative displacement.

A negative displacement means that Sarah has moved backward along the x-axis, so her final position would be negative.

Therefore, option B is the correct answer.

To learn more about an integers visit:

https://brainly.com/question/15276410.

#SPJ4

When an inequality is multiplied or divided by a negative number, the inequality sign will flip, meaning it will change its direction. For example, if you have a > b and you multiply or divide both sides by a negative number, the inequality will become a < b. This is because the relationship between the values reverses when multiplied or divided by a negative number.

Explanation:

When an inequality is multiplied or divided by a negative number, the direction of the inequality sign is flipped. This is because multiplication or division by a negative number, results in a reversal of the order of the numbers on the number line.

To see why this happens, consider the following example:

Suppose we have the inequality x < 5. If we multiply both sides of this inequality by -1, we get -x > -5. Notice that we have flipped the inequality sign from "<" to ">". This is because multiplying by -1 changes the sign of x to its opposite, and also changes the sign of 5 to its opposite, resulting in a reversal of the order of the numbers on the number line.

Similarly, if we divide both sides of the inequality x > 3 by -2, we get (-1/2)x < (-3/2). Here, we have again flipped the inequality sign from ">" to "<". This is because dividing by a negative number also changes the order of the numbers on the number line.

In general, if we have an inequality of the form a < b or a > b, where a and b are real numbers, and we multiply or divide both sides by a negative number, we obtain:

If we multiply by a negative number, the inequality sign is flipped. For example, if a < b and c < 0, then ac > bc.

If we divide by a negative number, the inequality sign is also flipped. For example, if a > b and c < 0, then a/c < b/c.

Therefore, it is important to be mindful of the signs of the numbers involved when performing operations on inequalities. If we multiply or divide by a negative number, we must flip the direction of the inequality sign accordingly.

Know more about the inequality click here:

https://brainly.com/question/30231017

#SPJ11