a sampling technique that is based on the cumulative effect of information that every additional item in the sample adds as it is inspected is called:

The graph of the inequality y < 1 - 3x is in the attachment below.

Given the inequality, y < 1 - 3x, we need to determine if the line of the inequality graph will be dashed or solid, the slope (m) of the line, and the y-intercept (b).

The slope (m) of the inequality y < 1 - 3x is -3. This means the line would be a declining line where the rise/run = -3.

The y-intercept (b) of the inequality y < 1 - 3x is 1. This means the line would intercept the y-axis at y = 1.

The boundary line of the inequality graph for y < 1 - 3x would be a dashed line because of the inequality sign "<". It also means the shaded part would be below the boundary line, because, the inequality sign, "<" means the the values are not included.

The graph that will represent the inequality given is the image attached below.

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Answer:

-3 + 9i

Step-by-step explanation:

The conjugate of -3i is - 3 - i.

(- 3 i) × (- 3 - i)

Multiply both terms.

-3 + 9i

The multiplication of the complex number -3i and it’s conjugate 3i is 9.

A complex number is characterized by an ordered pair of numbers, the real and imaginary parts. It can be represented in multiple ways such as Standard form(rectangular form), Polar form, Exponential form.

For the given situation,

The complex number is -3i.

The conjugate of a complex number a+bi is a-bi.

So, the conjugate of a complex number \(-3i\) is \(3i\)

Now multiply -3i and 3i, we get

⇒ \((-3i)(3i)\)

⇒ \(-9(i^{2} )\)

⇒ \(-9(-1)\)               [∵ \(i^{2}=-1\)]

⇒ \(9\)

Hence we can conclude that the multiplication of the complex number -3i and it’s conjugate 3i is 9.

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Answer:

The height of the prism = 3cm

Step-by-step explanation:

Answer:3

Step-by-step explanation:

That would just be 2x(1-y2)^(1/2)

Step-by-step explanation:

you dont need any steps because i told you the answer :/

Answer:

16997

Step-by-step explanation:

A two-sample t-test (independent samples) would be used to determine if there is a difference in the mean amount of time for each shift to process 100 pounds of coconuts.

A t-test is a statistical test that compares the means of two groups or samples. It allows you to determine if there is a significant difference between the means of two sets of data.The most basic type of t-test is a two-sample t-test.

This is used when you want to compare the means of two independent groups. In this case, we have the day shift and night shift, which are independent groups. Hence, we would use a two-sample t-test (independent samples) to determine if there is a difference in the mean amount of time for each shift to process 100 pounds of coconuts.

The one-way ANOVA is used when you have more than two independent groups to compare, randomized block ANOVA is used when the samples are paired, and the paired t-test is used when you have two dependent samples.

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The only critical point is (4, 5) and the value of the discriminant D at the local minimum is 4.

(A) To find the critical points of the function f(x,y), we need to find where the gradient of f(x,y) is equal to zero. That is:

∇f(x,y) = <∂f/∂x, ∂f/∂y> = <2x-8, 2y-10> = <0,0>

Solving for x and y, we get:

2x - 8 = 0 => x = 4

2y - 10 = 0 => y = 5

So the only critical point is (4, 5).

(B) To determine whether there is a local minimum at (4, 5), we need to examine the Hessian matrix of f(x,y) at that point:

H =

| ∂²f/∂x² ∂²f/(∂x∂y) |

| ∂²f/(∂x∂y) ∂²f/∂y² |

The second partial derivatives of f(x,y) are:

∂²f/∂x² = 2

∂²f/(∂x∂y) = 0

∂²f/∂y² = 2

So the Hessian matrix at (4, 5) is:

H =

| 2 0 |

| 0 2 |

The discriminant of the Hessian matrix is given by:

D = det(H) = 22 - 00 = 4

Since D is positive, this means that the Hessian matrix is positive definite, and therefore, the critical point (4, 5) is a local minimum.

Therefore, the value of the discriminant D at the local minimum is 4.

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Answer:

The slope for these to points would be -9/7 (rise/run)

Answer:

First it would be 10 and the second one would be 20 tell me if I’m right!!

Step-by-step explanation:   I think it’s that I’m not really sure lol also have a great day :D

Answer:

Hey bro you have not posted the figure ...

post it plz i will surely gelp you

Answer:

I guess d is the answer . cause the sum of a number (a number added to something) represented by a variable is added to twelve

Answer:

4.5

Step-by-step explanation:

First things first - the triangle OCB is similar to ODB - because they are symmetrically reflected over OB. They are also both right triangles, because the tangent is perpendicular to the corresponding radius.

BD = BC

We also know that (because it's a right triangle):

\(OB = \sqrt{OC^2 + BC^2}\\\\5.3 = \sqrt{2.8^2 + BC^2}\\\\5.3^2 = 2.8^2 + BC^2\\\\BC = \sqrt{5.3^2 - 2.8^2} = \sqrt{28.09 - 7.84}= \sqrt{20.25} = 4.5\\\\BD = BC = 4.5\)

Answer: Continuous variables

A variable is said to be continuous if it can assume an infinite number of real values within a given interval

Step-by-step explanation: yep

Answer:

6.25

Step-by-step explanation:

100-50=50

50 percent of 50 is 25

50-25=25

50 percent of 25 is 12.5

25-12.5=12.5

50 percent of 12.5 is 6.25

i did it 4 times so 6.25 is the answer

Answer:

100

Step-by-step explanation:

160 * (5/8) = 100

the ratio 1 is to 2 is equivalent to 3: 6

What is an equivalent ratios?

A ratio compares two quantities named as antecedent and consequent, by the means of division. For example, when we cook food, then each ingredient has to be added in a ratio. Thus, we can say, a ratio is used to express one quantity as a fraction of another quantity.

Two ratios are equivalent to each other if one of them can be expressed as the multiple of the other. Hence, to get the equivalent ratio of another ratio, we have to multiply the two quantities (antecedent and consequent) by the same number.

Given ratios are 2:1 and 3:1

we can write it as 2/1 and 3/1.

The lcm of 2 and 3 is 6.

Multiply denominator of both ratio with 6, we get

2/6 and 3/6 And we can see both the ratios are not equal.

Hence, there are not equivalent ratios.

4:1 and 8:3 are equivalent ratios -----> is false, because 4:1 is equivalent to 8:2

11:2 and 2:11 are equivalent ratios------> is false (because, are reciprocal ratios, not equivalent ratios)

3:1 and 9:3 are equivalent ratios ------> is true

because 3:1 multiply both sides by 3 -----> 3*3:1*3=9:3

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Answer:

The simplified algebraic expression to represent the height, h, of a stack in cm of n flower pots is h = 6·n + 22

Step-by-step explanation:

The given information are;

The rim height of one kind of flower pot = 6 cm

The planting height of the flower pot = 22 cm

Therefore, the total height of the flower pot = 22 + 6 = 28 cm

Stacking the flower pots of a single kind will give a linear relationship of the form, y = m·x + c between the height of the stack and the number of flower pots in the stack

Where;

m = The slope or the rate of change of the height with the number of flower pots in a stack which can be found from two points in the given table of values

c = The y-intercept or height at the start of the first stack

From the table of  values, for the first and the last points, we have;

m = (52 - 28)/(5 - 1) = 24/4 = 6

Which gives;

h - 52 = 6×(n - 5)

h = 6·n - 30 + 52 = 6·n + 22

h = 6·n + 22

Where;

h = The height of stack in cm

n = The number of flower pots

Therefore, by comparing to the general form of the equation of a straight line, y = m·x + c, the y-intercept, c = 22

The simplified algebraic expression to represent the height of a stack of n flower pots is therefore given as h = 6·n + 22.

Therefore , the solution of the given problem of fraction comes out to be 3/11 = 0.272 and -12.54 = -1254/100.

Any class of related sums or fractions can serve as a representation of a whole. In standard English, a percentage is used to represent the quantity of a specific size. 8, 3/4. Also wholes are fractions. Its fraction to denominator ratio is used in mathematics to express numbers. These fractions are all made up of basic integers. Due to differences in actual percentage calculations, numerators, and numerators, the fraction of a difficult fraction contains a fraction.

Here,

given :

3 over 11

can be written in decimal as

=> 3/11 = 0.272

Negative 5 over 8

=> -5/8 = -0.625

Negative 7 over 10

=> -7/10 = -0.7

2 and 5 over 6

=> 2 5/6 = 17/6 = 2.83

Negative 1 and 80 over 99

=> - 1 80/99 = -19/99 = 0.191

To fraction

Negative 0. 15

=> -0.15 = 15/100

Negative 7. 75

=> -7.75 = -775/100

Negative 12. 54

=> -12.54 = -1254/100

Therefore , the solution of the given problem of fraction comes out to be 3/11 = 0.272 and -12.54 = -1254/100.

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The solution y(t) consists of an exponential decay for t < 2, followed by a sudden jump at t = 2 where the function exhibits exponential growth. The piecewise definition reflects the behavior of the solution before and after the input delta function is applied.

a. To find the Laplace transform of the solution y(t), we can apply the properties of the Laplace transform and solve for Y(s) using the given initial value problem.

Taking the Laplace transform of both sides of the differential equation, we have:

sY(s) - y(0) + Y(s) = 2 + e^(-2s)

Since y(0) = 0, the equation simplifies to:

(s + 1)Y(s) = 2 + e^(-2s)

Now, solving for Y(s), we get:

Y(s) = (2 + e^(-2s)) / (s + 1)

Therefore, the Laplace transform of the solution y(t) is Y(s) = (2 + e^(-2s)) / (s + 1).

b. To obtain the solution y(t), we need to take the inverse Laplace transform of Y(s). The inverse Laplace transform can be found using tables or by using partial fraction decomposition.

Using partial fraction decomposition, we can express Y(s) as:

Y(s) = 2/(s + 1) + e^(-2s)/(s + 1)

Taking the inverse Laplace transform of each term separately, we have:

y(t) = 2e^(-t) + e^(2(t-2))u(t-2)

where u(t-2) is the unit step function, defined as:

u(t-2) = {

0, if t < 2,

1, if t >= 2

}

c. The solution y(t) can be expressed as a piecewise-defined function. For t values less than 2, the first term 2e^(-t) dominates, and the graph of the solution exponentially approaches zero. At t = 2, the unit step function u(t-2) becomes 1, and the second term e^(2(t-2))u(t-2) contributes to the solution. This term introduces a sudden change in the function at t = 2, causing a jump or discontinuity in the graph.

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Comparing experiment data to public opinion polls helps evaluate media accuracy, detect biases, and understand the influence on public opinion, while describing data trends and comparing theoretical and empirical probabilities aids in making informed decisions.

In conclusion, comparing the data collected from experiments to public opinion polls allows for the assessment of media accuracy and biases, while analyzing data trends and comparing theoretical and empirical probabilities provides valuable insights for decision-making.

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The quotient when \(\frac{5-x}{x^2+3x-4} /\frac{x^2-2x - 15}{x^2+5x+4}\) in simplified form is \(\frac{-(x+1)}{(x-1)(x+3)}\)

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that equation:

\(\frac{5-x}{x^2+3x-4} /\frac{x^2-2x - 15}{x^2+5x+4}\)

\(=\frac{5-x}{(x+4)(x-1)} /\frac{(x-5)(x+3)}{(x+4)(x+1)} \\\\=\frac{5-x}{(x+4)(x-1)} * \frac{(x+4)(x+1)}{(x-5)(x+3)}\\\\\frac{-(x-5)}{(x+4)(x-1)} * \frac{(x+4)(x+1)}{(x-5)(x+3)}\\\\=\frac{-(x+1)}{(x-1)(x+3)}\)

The quotient when \(\frac{5-x}{x^2+3x-4} /\frac{x^2-2x - 15}{x^2+5x+4}\) in simplified form is \(\frac{-(x+1)}{(x-1)(x+3)}\)

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Answer:

The quotient when \(5-x/x^2+3x-4/x^2-2x-15/x^2+5x+4\) in simplified form is \(-(x+1)/(x-1)(x+3)\)

Answer:

Step-by-step explanation:

It is easier to graph using a free online graphing utility, such as DESMOS.  See the attached graph.  If the goal is to make a graph with pencil and graph paper, then select a few values of x  and put them into the equation to find y.

A talble of a few random values is attached.  

The graph includes both the generated DEMOS line (a downwards parabola) and the calculated points from the attached table.  Add the points to a blank graph and draw a line as best you can that connects all the points.  It is clear that a few more points with negative values of x would help with the line drawing.

Answer:

1.   won 50 games and lost 32 games

2.  233 Democrats and 202 Republicans

3.  360 miles

4.  6 hours

5.  18 miles

Step-by-step explanation:

Question 1

From the given information:

Substitute Equation 2 into Equation 1 and solve for y:

⇒ y - 18 + y = 82

⇒ 2y - 18 = 82

⇒ 2y = 100

⇒ y = 50

Substitute found value of y into Equation 2 and solve for x:

⇒ x = 50 - 18

⇒ x = 32

Therefore, the team won 50 games and lost 32 games.

Question 2

From the given information:

Substitute Equation 2 into Equation 1 and solve for d:

⇒ r + 31 + r = 435

⇒ 2r + 31 = 435

⇒ 2r = 404

⇒ r = 202

⇒ d = 233

Substitute found value of d into Equation 2 and solve for r:

⇒ 233 = r + 31

⇒ r = 202

Therefore, there were 233 Democrats and 202 Republicans.

Question 3

Given:

Distance (d) = vt

⇒ d = 180 × 2

⇒ d = 360 miles

Question 4

Given:

Time (t) = d ÷ v

⇒ t = 420 ÷ 70

⇒ t = 6 hours

Question 5

If the velocity of the bus is 12 mph less than the car then:

⇒ c = b + 12

Given journey times:

Distance (d) = vt

Create two equations for distance:

Bus

⇒ d = b × 0.75 = 0.75b

⇒ d = 0.75b

Car

⇒ d = (b + 12) × 0.5

⇒ d = 0.5b + 6

Distance for both vehicles is the same. Equate the two equations for d and solve for b (velocity of bus):

⇒ d = d

⇒ 0.75b = 0.5b + 6

⇒ 0.25b = 6

⇒ b = 24 mph

Substitute the value of b into one of the distance formulas and solve for d:

⇒ d = 0.5(24) + 6

⇒ d = 18 miles

Answer: The answer is B.

Step-by-step explanation: The scale on the y-axis could be changed to 100–120.

Hello!

(6x + 9)/3 =

= 3(2x + 3)/3 =

= 2x + 3

Good luck! :)

100.48 square inches make up half of the cookie cake. The solution has been obtained by using area of circle.

What is area of circle?

The territory that a circle's circumference encloses or includes is referred to as its area. The square is its unit of measurement.

We are given that the diameter of a circular cookie cake is 16 inches.

Area of circle = π \(r^{2}\)

The radius (r) = 8 inches

So, from this we get

⇒ Area of circle = π \(8^{2}\)

⇒ Area of circle = 64 * 3.14

⇒ Area of circle = 200.96 square inches

So, half cookie cake = 100.48 square inches

Hence, 100.48 square inches make up half of the cookie cake.

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The experimental group is given the experimental treatment, and the comparison group is statistically significant.

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The polynomial that is written in standard form out of the given options is given by: Option 2: x^4 + 4x^3 + 10x

Suppose the considered polynomial is of only one variable.

Then, the standard form of that polynomial is the one in which the terms with higher exponents are written on left side to those which have lower exponents.

Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.

Example:

\(x^3 + 3x +5\)

is a polynomial consisting 3 terms as \(x^3, 3x \: \rm and \: 5\)

Cheking all the options for them being in standard form or not:

Second term has 4 as exponent, but on its left, the first term has 2 as exponent. So higher expoent holding term is not on left. Thus, this polynomial is not in standard form.

4 > 3 > 1 (comparing the exponents), and the terms holding them are also in this order (left to right).

Thus, this polynomial is in standard form.

Not in standard form because the last term has bigger power then the term on its left.

Not in standard form because the last term has bigger power then the term on its left.

Thus, the polynomial that is written in standard form out of the given options is given by: Option 2: x^4 + 4x^3 + 10x

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Answer:

85

Step-by-step explanation:

425 divided by 5 is 85