A researcher takes 1000 subjects and divides them into groups based on level of education attained. He then records the time it takes them to complete a crossword puzzle. The researcher is incorporating _______ into the study to reduce variability in responses.

Answer:

ray DC

Step-by-step explanation:

Two rays are said to be opposite to each other if their endpoints are the same, they exist on the same plane and  form an angle of 180° between them i.e they point in exact opposite directions

Ray DE has end-point D

Ray DC has end-point D and points in the exact opposite direction to ray DE on the same plane

So the answer is ray DC

Answer:

Step-by-step explanation:

-6 5

Answer:

1 1/2

Step-by-step explanation:

9/10 ÷ 3/5

Copy dot flip

9/10 * 5/3

Rewriting

9/3 * 5/10

3 * 1/2

3/2

1 1/2

Answer:

3/2

Step-by-step explanation:

9/10 ÷ 3/5

~Use copy dot flip

9/10 * 5/3

~Multiply

45/30

~Simplify

3/2

Best of Luck!

Answer:

It’s the first one, 9x-32

Step-by-step explanation:

Maybe

Equation of the line passing through  (1, -9) and (1, 12) is y = -9

The equation to the line in  slope intercept form

y = mx + c

where

m = slope

c = intercept

x = input variables

y = output variables

calculation of slope, m for (1, -9) and (1, 12)

(y - y₁) /  (x - x₁)   = m

m = (-9 - 12) /  (1 - 1)

m = 1 / 0

m = undefined slope (this is the slope of vertical line)

equation of the line  (1, -9)

(y - -9) = 0

y + 9 = 0

y = -9

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This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.

When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.

One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.

Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.

Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.

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\(\textit{internal division of a line segment using ratios} \\\\\\ P(1,-2)\qquad Q(4,10)\qquad \qquad \stackrel{\textit{ratio from P to Q}}{2:1} \\\\\\ \cfrac{P\underline{T}}{\underline{T} Q} = \cfrac{2}{1}\implies \cfrac{P}{Q} = \cfrac{2}{1}\implies 1P=2Q\implies 1(1,-2)=2(4,10)\)

\((\stackrel{x}{1}~~,~~ \stackrel{y}{-2})=(\stackrel{x}{8}~~,~~ \stackrel{y}{20}) \implies T=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{1 +8}}{2+1}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{-2 +20}}{2+1} \right)} \\\\\\ T=\left( \cfrac{ 9 }{ 3 }~~,~~\cfrac{ 18}{ 3 } \right)\implies T=(3~~,~~6)\)

Answer:

\(\sqrt{28\)

Step-by-step explanation:

a^2 + b^2 = c^2.

if you draw out the triangle, you can substitute numbers into an equation.

6^2 + b^2 = 8^2

36 + b^2 = 64

b^2 = 64 - 36

b^2 = 28

b = \(\sqrt{28}\)

Step-by-step explanation:

Step 1:  Add 13x to both sides

\(x^2 + 13x = -13x + 13x - 4\)

\(x^2 + 13x = -4\)

Step 2:  Add 4 to both sides

\(x^2 + 13x + 4 = -4 + 4\)

\(x^2 + 13x + 4\)

Step 3:  Use Quadratic Formula

\(x = \frac{ -b \pm \sqrt{ b^2 - 4ac } }{2a}\)

\(x = \frac{ -(13) \pm \sqrt{ 13^2 - 4(1)(4)} } { 2(1)}\)

\(x = \frac{-13 \pm \sqrt{153}}{2}\)

\(x = \frac{-13\pm3\sqrt{17} }{2}\)

Answer:  \(x = \frac{-13\pm3\sqrt{17} }{2}\)

Answer:

-0.3 and - 12.7

Step-by-step explanation:

Rewrite in quadratic form:

x2 + 13x + 4 = 0

The best approximations, given the options, are 0 and - 13

The actual solution is -

Answer:

6xl2 + 223x - 113

Step-by-step explanation:

Answer:

(2) The statement is true.

-1 < r < 1

The force F = r^2k(r^) is not conservative because its curl is nonzero. The force is central because it depends only on r and acts along the radial direction. Since it is not conservative, there is no potential energy function V(r) associated with this force

To determine whether the force F = r^2k(r^) is conservative and central, let's analyze its properties.

A force is conservative if it satisfies the condition ∇ × F = 0, where ∇ is the gradient operator. In Cartesian coordinates, the force can be written as F = Fx i + Fy j + Fz k, where Fx, Fy, and Fz are the components of the force in the x, y, and z directions, respectively. The curl of F is given by:

∇ × F = (∂Fz/∂y - ∂Fy/∂z)i + (∂Fx/∂z - ∂Fz/∂x)j + (∂Fy/∂x - ∂Fx/∂y)k.

Calculating the components of F = r^2k(r^):

Fx = 0, since there is no force component in the x-direction.

Fy = 0, since there is no force component in the y-direction.

Fz = r^2kr^.

Taking the partial derivatives, we have:

∂Fz/∂x = ∂/∂x (r^2kr^) = 2rkr^2(∂r/∂x) = 2rkr^2(x/r) = 2xkr^3.

∂Fz/∂y = ∂/∂y (r^2kr^) = 2rkr^2(∂r/∂y) = 2rkr^2(y/r) = 2ykr^3.

Substituting these values into the curl equation, we get:

∇ × F = (2ykr^3 - 2xkr^3)k = 2k(r^3y - r^3x).

Since the curl of F is not zero, ∇ × F ≠ 0, we conclude that the force F = r^2k(r^) is not conservative.

Now let's determine if the force is central. A force is central if it depends only on the distance from the origin (r) and acts along the radial direction (r^).

For F = r^2k(r^), the force is indeed central because it depends solely on r (the magnitude of the position vector) and acts along the radial direction r^. Hence, it can be written as F = Fr(r^), where Fr is a function of r.

Since the force is not conservative, it does not possess a potential energy function. In conservative forces, the potential energy function V(r) can be defined, and the force can be expressed as the negative gradient of the potential energy, i.e., F = -∇V. However, since F is not conservative, there is no potential energy function associated with it.

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We will get that the angle theta is:

θ = β/2

Remember that the sum of the interior angles of any triangle must be equal to 180°.

Now, looking at the triangle in the left, we can see that the top angle is equal to:

180 - 2α

The right angle is equal to:

180 - 2β

And the left angle is α

Then we can write:

α + (180 - 2α) + (180 - 2β) = 180

-α - 2β = -180

α = 180 - 2β

Now we can go to the other triangle, where theta is, and write:

α + β + 2θ = 180

Replacing what we found above, we get:

180 - 2β + β + 2θ = 180

-β + 2θ = 0

θ = β/2

That is the best simplification we can get with the given diagram.

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Answer:

Options (B), (C) and (F) are correct.

Step-by-step explanation:

Properties of a rhombus,

1). All sides of a rhombus are equal in measure.

2). Both the diagonals of a rhombus are the perpendicular.

3). Diagonals bisect the vertex angles.

By these properties of a rhombus,

Option (B): PR is perpendicular to QS.

Option (C): ∠QPR ≅ ∠SPR

Option (F): PQ ≅ QR

Therefore, options (B), (C) and (F) are correct.

Answer:

B, C, F, and E are all correct.

Step-by-step explanation:

The price vectors a. p₁ = 3 and p₂ = 2, Mary will consume only good 1.

Here we have the Utility function as

U(x₁ , x₂) = 3x₁ + x₂

From the given utility function we can clearly see that these goods are substitutes for each other

Now,

δU/δx₁ = 3

δU/δx₂ = 1

Hence we get the Marginal Rate of Substitution or MRS

\(=- \frac{\delta U/ \delta x_1 }{\delta U/ \delta x_2}\)

= -3

The MRS signifies that for every additional unit of 1, Mary is willing to give up 3 units of good 2

|MRS| = 3

For Mary to only consume good 1, |MRS| > p₁/p₂

Hence here we get the p/p ratio for the 4 price vectors to be

a. 3/2 = 1.5

b. 10/3 = 3.33

c. 4

d. 15.4 = 3.75

Hence we can clearly say that for the price vectors p₁ = 3 and p₂ = 2, Mary will consume only good 1.

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Answer:

sorry I don't know

Step-by-step explanation:

you have no image I can't tell

Answer: 2

Step-by-step explanation:

Rectangles have 2 lines of symmetry. One of them is vertically down the middle, and the other one is horizontally down the middle lengthwise. However, you can not draw the 2 symmetry lines diagonally in a rectangle from each corner to the opposite corner. An image is attached for a reference/example of this.

I hope this helps!

Answer:

b

Step-by-step explanation:

The missing angle is 35° and the given triangle is scalene or obtuse.

Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.

Angles are usually measured in degrees or radians.

Given is a triangle with two angles given and a missing angle x.

Given angles are 40° and 105°.

We have to find the measure of x.

Sum of interior angles of the triangle is 180°.

40 + 105 + x = 180

145 + x = 180

x = 180 - 145

x = 35

So the missing angle is 35°.

Since all the angles of the triangle is different, the given triangle is scalene.

Similarly, since one of the angle is 105 degrees, which is obtuse, the given triangle is obtuse.

Hence the angle measure is 35° and the triangle can be classified as either obtuse or scalene.

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Reason:

There are 6 angles shown. If they are all the same measure, then they must be 360/6 = 60 degrees each. This is because the angles all glue together to form a full 360 degree rotation. There are no gaps or overlaps.

The test that he can conduct to determine if there is a significant difference in the enrollment between the semesters is the paired samples t-test. A paired samples t-test is a hypothesis test that determines whether there is a statistically significant difference between the means of two related groups (i.e., two groups of data that are related in some way).

A paired t-test is used when we have two samples in which each observation in one sample is related to one observation in the other sample. Paired t-test formula: t = (μd-μ0) / (sd / √n)Where:μd = the mean difference between the two related groupsμ0 = the null hypothesis mean differenced = the standard deviation of the difference sn = the number of pairs of observations Results:

Spring enrollment Fall  enrollmen tn=6n=6Mean = 32.0Mean = 37.7Sd = 8.08Sd = 8.24Paired t-test: t = -2.15 df = 5 p-value = 0.076

The p-value for this test is 0.076. This value is greater than the level of significance, 0.05, which means that we do not reject the null hypothesis that there is no significant difference between spring and fall enrollment in his department. Therefore, we can conclude that there is no statistically significant difference in the enrollment between the semesters.

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The density property of real numbers says that there is always a real number between two other real numbers.

Between the number 1 and 2, some examples of this are 1.252, \(\sqrt{2}\), 1.5, \(\frac{\pi }{2}\), etc.

An application of this is the intermediate value theorem, which states that in a continuous function on interval whose domain contains the interval

[a, b], then any given value between f(a) and f(b) exists at some point within the interval.

We can say that if I am on a swing, and a function gives my height, there is an infinite amount of real numbers between my minimum height and maximum height.  If I swing 7 feet off the ground, and return to 1 foot height, at some point I was 4 feet in the air, \(\sqrt{2}\) feet in the air, or \(\pi\) feet in the air.

Hope this helps,

Jeron

:- )

Answer:

it's B, C, and D

Step-by-step explanation:

A. w ⋅ 462 = 16 1/2

not A

w * a ≠ l

B. 16 1/2 ⋅ w = 462

is B

l * w = a

C. 462 ÷ 16 1/2 = w

is C

a / l = w

D. 462 ÷ w = 16 1/2

is D

a / w = l

E. 16 1/2 ⋅ 462 = w

not E

l * a ≠ w

Answer:

The answer to this is 3x+8

Answer:

x + 4

Step-by-step explanation:

Factor the polynomial.

6 (x+4)^2

Answer:

x = 3

Step-by-step explanation:

\(2x^{2}\) = 36

\(\sqrt{2x^{2}}\) = \(\sqrt{36}\)

2x = 6

\(\frac{2x}{2}\) = \(\frac{6}{2}\)

x = 3

hope this helps!

Answer:

A

Step-by-step explanation:

Every input (x value) can have only ONE ouput (y value) to be a function, y- values can be repeated but x- values cannot

Hope that helps

Answer:

Solution,

Let the points be A and B

A(-3,2)------->( X1,y1)

B(-2,5)------>( x2,y2)

Now,

gradient means slope.

\(slope = \frac{y2 - y1}{x2 - x1} \\ \: \: \: \: \: \: = \frac{5 - 2}{ - 2 - ( - 3)} \\ \: \: \: \: \: = \frac{ - 3}{ - 2 + 3} \\ \: \: \: \: \: = \frac{ - 3}{1} \\ \: \: \: = - 3\)

Hope this helps..

Good luck on your assignment..

Answer:

\(\boxed{x=3}\)

Step-by-step explanation:

Let's solve now

\(\red{( - 3 \: \: \: \: \: \: 2)} = >\green{ (x1 \: \: \: \: \: y1) }\\ \red{( - 2 \: \: \: \: \: \: 5 ) }= >\green{ (x2 \: \: \: \: \: y2)}\\ \)

\(\blue{slope = \frac{y1 - y2}{x1 - x2} } \\ = \frac{2 - 5}{ - 3 - ( - 2)} \\ = \frac{ - 3}{ - 3 + 2} \\ = \frac{ - 3}{ - 1} \\ = 3\)

The correct option is A) No, because the center of a distribution and the spread are not related

The standard deviation is a measure of the spread or dispersion of a set of data. It is not directly related to the mean or average of the data.

The standard deviation is calculated based on the deviations of each data point from the mean, taking into account how many data points there are.

The mean does not affect the calculation of the standard deviation, as the formula for standard deviation is based solely on the data itself and not on any summary statistics like the mean.

The value of the standard deviation can remain the same even if the mean changes, and conversely, the mean can change without affecting the standard deviation.

Thus, option A) No, because the center of a distribution and the spread are not related is correct.

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The circumference of the wheel of cheese is approximately 56.52 inches.

To calculate the circumference of a wheel of cheese, you need to know its radius.

The radius is the distance from the center of the wheel to its outer edge. In this case, the radius of the wheel is given as 9 inches.

The formula for the circumference of a circle is:

Circumference = 2π x radius

In the formula, "π" represents the mathematical constant pi, which is approximately equal to 3.14.

Let's substitute the given values into the formula:

Circumference = 2 x 3.14 x 9

Calculating this expression, we get:

Circumference = 56.52 inches

Therefore, the circumference of the wheel of cheese is approximately 56.52 inches.

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Answer:

5

Step-by-step explanation:

Remember that you are adding an already known negative number since there are two negative signs next to them.  Your answer should be 5.

Answer:

5

Step-by-step explanation:

3-(-2)

-1 × -2

= 2

= 3+2

=5

Answer:

y= -x+5

y=mx+b

m=slope=-1

b=y-intercept=5

Answer:

slope is -1/2 and y- intercept is 1/3

Step-by-step explanation:

use y=mx+b

m=slope

b= y-intercept

rearrange your equation

y=1/3-1/2x

y=-1/2x+1/3