The __________ is a measure of dispersion that is used in constructing confidence intervals for the mean and in evaluating research hypotheses.

Answers

Answer 1

The standard deviation is a measure of dispersion that is used in constructing confidence intervals for the mean and in evaluating research hypotheses.

In statistics, the same old deviation is a degree of the amount of variation or dispersion of a hard and fast of values. A low well-known deviation suggests that the values tend to be close to the suggested of the set, while an excessive widespread deviation shows that the values are spread out over a much broader range.

It tells you, in common, how some distance every rating lies from the suggestion. In everyday distributions, a high well-known deviation approach that values are typically far from the implied, while a low popular deviation suggests that values are clustered close to the mean.

Fashionable deviation tells you ways to unfold out the statistics is. It is a degree of the way some distance each location cost is from the suggest. In any distribution, about ninety-five% of values may be inside 2 preferred deviations of the suggested.

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Related Questions

Describe how to determine the average rate of change between x = 2 and x = 4 for the function f(x) = 2x3 + 1. Include the average rate of change in your answer.

Answers

The average rate of change of the function given is 56

Rate of change of a function

The formula for calculating the rate of change of a function is expressed as;

f'(x) = f(b)-f(a)/b-a

where

b = 4

a = 2

f(4) = 2(4)^3 +1

f(4) = 129

f(2) = 2(2)^3 + 1

f(2) = 17

Substitute

f'(x) = 129-17/4-2

f'(x) = 112/2

f'(x) = 56

Hence the average rate of change of the function given is 56

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The graphs below have the same shape. What is the equation of the blue
graph?
G(x) =

F(x)=x3
-6
O A. G(x) = (x+1)³
OB. G(x) = x³-1
OC. G(x) = (x-1)³
OD. G(x)= x³ +1
GX) = ?

Answers

Using translation concepts, it is found that the equation of the blue graph is given by:

C. G(x) = (x - 1)³.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the function G(x) is a shift of one unit right of F(x) = x³, hence it's equation is:

G(x) = F(x - 1) = (x - 1)³.

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The ratio of the area of the shaded part to the unshaded part is______.

Answers

Answer: 1 : 3

Shaded area:

[tex]\Longrightarrow \sf Length \ \times \ Breadth = \dfrac{x}{4} \ \times \ x \ = \ \dfrac{1}{4}x^2[/tex]

Unshaded area:

[tex]\Longrightarrow \sf Length \ \times \ Breadth = (x - \dfrac{x}{4}) \ \times \ x \ = \ \dfrac{3}{4}x^2[/tex]

Ratio of shaded to unshaded:

[tex]\Longrightarrow \sf \dfrac{1}{4} x^2 \ : \ \dfrac{3}{4} x^2 = 1 : 3 \quad (simplified)[/tex]

How many positive three-digit numbers are evenly
divisible by 33?

Answers

Answer:

27

Step-by-step explanation:

smallest multiple of 33 that is 3 digits is 132 (33*4), and largest is 990 (33*30)

then all the numbers between 4 and 30 would also be 3 digits

including 4 and 30, that makes 27 number in total

A given gas powered water pump delivers 42.50 gallons of water per minute. This value can also be expressed as _____________ L/s (Liters per second).

Answers

The rate at which the gas powered pump deliver water is 160.9 litres per seconds

How to convert rate?

The gas powered water pump delivers 42.50 gallons of water per minute.

Therefore,

1 gallon = 3.78541 litres

42.50 gallons = ?

cross multiply

volume = 42.50 × 3.78541 = 160.879925 litres

Hence,

60 seconds = 1 minutes

1 second = ?

time = 1 / 60 = 0.01666666666 seconds

Hence,

rate = 160.9 litres per second

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Calculate XY, if UV=25 and WZ=39

Answers

Answer:

Step-by-step explanation:

UV = [tex]\frac{XY+WZ}{2}[/tex]

[tex]\frac{XY+39}{2}[/tex] = 25

XY + 39 = 50

XY = 11    

to solve the system of equations below, Becca isolated x^2 in the firs equation and then substituted it into the second equation

Answers

The resulting equation if Becca isolated x² in the first equation and then substituted it into the second equation is (9-y²) / 25 - y²/36 = 1

Equation

x² + y² = 9

x²/25 - y²/36 = 1

From (1)

x² = 9 - y²

substitute x² = 9 - y² into (2)

x²/25 - y²/36 = 1

(9-y²) / 25 - y²/36 = 1

Therefore, the resulting equation is option C; (9-y²) / 25 - y²/36 = 1

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Answer:

(9-y²) / 25 - y²/36 = 1

Step-by-step explanation:

If g(x) = 4x² - 16 were shifted 9 units to the right and 1 down,
what would the new equation be?

Answers

[tex]9 \: units \: to \: the \: right \: = x - 9[/tex]

[tex]1 \: unit \: down \: = - 1[/tex]

[tex]g(x) = 4x {}^{2} - 16 \\ h(x) = 4(x - 9) {}^{2} - 17[/tex]

Letter A

Verbal
2. How can you tell whether an absolute value function
has two x-intercepts without graphing the function?

Answers

Without graphing an absolute value function, you can tell whether it has two x-intercepts by isolating the absolute value term to have an equation of the form |A| = B and then form two different equations.

What is an absolute value function?

An absolute value function can be defined as a type of function that consist of an algebraic expression, which placed within absolute value symbols

Mathematically, the standard form of the equation for an absolute value function is given by:

y = a|x - h| +k.

Where:

h and k are the vertex of the graph.

Without graphing an absolute value function, you can tell whether it has two x-intercepts by isolating the absolute value term to have an equation of the form |A| = B and then form two different equations.

Lastly, solve each equation for the two x-intercepts.

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I don’t know what to do pls help me

Answers

Answer:

35

Step-by-step explanation:

Basically, since the angle HGF consists of HGE and EGF, then that means that HGF = HGE + EGF, and since EGF and HGF is given we plug this into the equation to get: 145 = HGE + 110, so HGE = 35.

Answer: 35°

Step-by-step explanation:

Hi!

The total angle is 145°

part of the angle is 110°

to find the missing angle, do 145 - 110 = 35°

Hope this helped :)

Discuss the implications of an infinite-dimensional space in generalization ability of the hard-margin SVM. What are the strategies we can use to improve generalization

Answers

The SVM classifier's generalization performance is improved by decreasing the VC dimension.

What is SVM ?

SVM stands for Support Vector Machine .

A potent machine learning technique for classification and regression is called a Support vector machine. The selection of a margin type is crucial if we want to use it to solve an issue.

A soft margin or a hard margin can be chosen on the basis of the data , If the data is linearly separable , hard margin is used , If the data is not separable linearly and misclassifications can be allowed then soft margin is used.

The hard margin SVM's capacity for generalization is significantly influenced by VC.

the SVM classifier's generalization performance is improved by decreasing the VC dimension.

We contend that by using dimensionality reduction and bootstrapping techniques, the VC dimension of an SVM classifier can be decreased.

The SVM classifier's performance was now enhanced by bootstrapping both the original data and the projected data that is dimensionally reduced .

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Please Help Asap Please And Thank You.

Answers

20/50 twenty spaces up and 50 units over

Answer:

m (slope) = -1/10; the slope means that every 1/10 minute the candle goes down 1/100 centimeters OR every 10 minutes the candle goes down 1 centimeter; the y intercept is how tall the candle is at the beginning

Step-by-step explanation:

to find the slope of this line we can simply use the (y2 - y1) / (x2 - x1) formula

that gives us

(0 - 25) / (250 - 0)

or

-25/250

or

-1/10

the slope means that every 1/10 minute the candle goes down 1/100 centimeters OR every 10 minutes the candle goes down 1 centimeter

the y intercept is how tall the candle is at the beginning

By what percent will the fraction increase if its numerator decreased by 30% and the denominator decreased by 50%

Answers

Answer:

140%

Step-by-step explanation:

So a fraction can be expressed as: [tex]\frac{a}{b}[/tex] and if a number decreases by x%, the new number is (100-x)% the original value. So since the numerator decreases by 30%, it's not 70% the original value, and it's very similar with the denominator, with it only retaining 50% of it's original value. This gives you the formula: [tex]\frac{0.70a}{0.50b}[/tex]. You can rewrite the fraction as: [tex]\frac{1.4 * 0.5 * a}{0.5 * b}[/tex] in doing so it's easy to see that you can cancel out the 0.5 and get: [tex]1.4\frac{a}{b}[/tex]. This means the value is increasing by 1.4 or 140%

Answer:

140%

Step-by-step explanation:

since the numerator decreases by 30%, it isnt 70% the original value, This gives a formula: . You can rewrite the fraction as so, in doing so it's easy to see that you can cancel out the 0.5 and get: . This means the value is increasing by 1.4 or 140%.

Which best explains if quadrilateral WXYZ can be a parallelogram?

Answers

A quadrilateral in which opposite sides are parallel is called a parallelogram. The correct option is A.

What is a parallelogram?

A quadrilateral in which opposite sides are parallel is called a parallelogram. Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

For a parallelogram, the pair of opposite sides are equal and parallel. Therefore,

1.)  For the first pair.

(x+8) = 15

x = 7

2.) For the second pair

(x+2)=(2x-5)

x + 2 = 2x - 5

2 + 5 = 2x - x

x = 7

(x+2) = (7+2) = 9

Since the measure of the pair of opposite sides is 15 units, the pair of the other two sides measure 9 units.

Hence, the correct option is A.

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Is the function y = –9x^8+3 linear or nonlinear?

Answers

Answer:

It is nonlinear

Step-by-step explanation:

Linear

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1.

Random assignment to treatments helps control for lurking variables ? true ? false.

Answers

It is true that Random assignment to treatments helps control for lurking variables

The main purpose for using randomization in an experiment is to create sure that the results are accurate. you wish to avoid biasis and lurking variables. Having a randomized experiment will facilitate your to create sure that your information is correct

The main purpose for using randomization in an experiment is to manage the lurking variable and establish a cause and effect relationship. Also, by randomizing an experiment the evidence is more supported

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Question 2
Consider a right angled triangle where one of the non-hypotenuse sides has
length 3 and the angle it makes with the hypotenuse is 65. What is the area of
this triangle?
A: 3cos65/2 B: 9tan65/2 C: 9sin65/2 D: 9cos65/2 E: 3sin65/2

Answers

Using relations in a right triangle, the area of the triangle is given by:

B. 9tan(65º)/2.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

In this problem, we have one leg(length 3) and the angle with the hypotenuse(65º), hence the other leg can be found as follows:

[tex]\tan{65^\circ} = \frac{x}{3}[/tex]

x = 3tan(65º).

What is the area of a right triangle?

The area of a right triangle is half the multiplication of it's legs, hence in this problem:

A = 1/2 x 3 x 3tan(65º) = 9tan(65º)/2.

Which means that option B is correct.

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\sqrt{27} - \sqrt{ 12} + \sqrt{48 }

Answers

Answer:

[tex]5\sqrt{3}[/tex]

Step-by-step explanation:

I'm assuming you're asking for most simplified form?

Original Equation:

[tex]\sqrt{27} - \sqrt{12} + \sqrt{48}[/tex]

Rewrite sqrt(27) using the exponent property: [tex]\sqrt[n]{a} * \sqrt[n]{b} = \sqrt[n]{ab}[/tex]

[tex]\sqrt{9} * \sqrt{3} -\sqrt{12} + \sqrt{48}[/tex]

Simplify sqrt(9)

[tex]3\sqrt{3} -\sqrt{12} + \sqrt{48}[/tex]

Rewrite the radical sqrt(12)

[tex]3\sqrt{3} -\sqrt{4}\sqrt{3} + \sqrt{48}[/tex]

Simplify sqrt(2)

[tex]3 \sqrt{3} -2\sqrt{3} + \sqrt{48}[/tex]

Rewrite the radical sqrt(48)

[tex]3\sqrt{3} -2\sqrt{3} + \sqrt{16}\sqrt{3}[/tex]

Simplify the sqrt(16)

[tex]3\sqrt{3} -2\sqrt{3} + 4\sqrt{3}[/tex]

You can think of sqrt(3) as x, in which case you have 3x - 2x + 4x, so you just add the coefficients and leave the sqrt(3) alone.

Subtract 2 from 3

[tex]1\sqrt{3} + 4\sqrt{3}[/tex]

Add 1 and 4

[tex]5\sqrt{3}[/tex]

Students were asked to write an expression equivalent to the expression below:
30a+12b-6a+ 2(9b+c+15)
Their answers are as follows:
36a-30b+2c +30
Ben wrote: 36a - 30b + 2c + 30
Martin:
24a+30b+2c +30
Sara wrote: 24a + 30b + 2c + 15
Martin wrote: 24a + 30b+2c +30
Which, if any, of those students wrote expressions that are equivalent to the original expression?
In the space provided below, either prove why each student's response is equivalent, or explain and correct the student's error.
Sara
| Ben:
Allie wrote: 2(12a + 15b+c+15)
24a+30b+ac+15
Allie:
2(13a +156+c+15)

Answers

The equivalent is 24a + 30b +2c + 30

How to determine the equivalent expression

Given the original expression as;

30a+12b-6a+ 2(9b+c+15)

First, expand the bracket, we have

30a + 12b -6a + 18b + 2c + 30

Then, collect like terms

30a -6a + 12b + 18b + 2c + 30

24a + 30b +2c + 30

The equivalent is 24a + 30b +2c + 30

From the result, we have that Martin is correct.

Sara wrote the equivalent as 24a + 30b +2c + 15

She made a mistake in expand the bracket = 2( 9b +c +15) = 18b + 2c + 30

Ben wrote 36a - 30b + 2c + 30. He made a mistake in issuing the sign for 30b = 12b + 18b = +30b

Thus, the equivalent is 24a + 30b +2c + 30

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Simplify, state all restrictions.

Answers

The simplified expression is [tex]\frac{1 - x - y}{x + y}[/tex]and the restriction is [tex]y \ne -x[/tex]

How to simplify the expression?

The expression is given as:

[tex]\frac{x - y}{4x^2 - 8xy + 3y^2} \div \frac{2x + y}{2x - 3y} \times \frac{4x^2 - y^2}{x^2 - y^2} -1[/tex]

Express x^2 - y^2 as (x + y)(x - y) and factorize other expressions

[tex]\frac{x - y}{(2x - y)(2x - 3y)} \div \frac{2x + y}{2x - 3y} \times \frac{4x^2 - y^2}{(x - y)(x + y)} -1[/tex]

Rewrite the expression as products

[tex]\frac{x - y}{(2x - y)(2x - 3y)} \times \frac{2x - 3y}{2x + y} \times \frac{4x^2 - y^2}{(x - y)(x + y)} -1[/tex]

Cancel out the common factors

[tex]\frac{1}{(2x - y)} \times \frac{1}{2x + y} \times \frac{4x^2 - y^2}{(x + y)} -1[/tex]

Express 4x^2 - y^2 as (2x - y)(2x + y)

[tex]\frac{1}{(2x - y)} \times \frac{1}{2x + y} \times \frac{(2x - y)(2x + y)}{(x + y)} -1[/tex]

Cancel out the common factors

[tex]\frac{1}{x + y} -1[/tex]

Take the LCM

[tex]\frac{1 - x - y}{x + y}[/tex]

Hence, the simplified expression is [tex]\frac{1 - x - y}{x + y}[/tex]and the restriction is [tex]y \ne -x[/tex]

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Pleaseeee helppppppp

Answers

Answer:

The second choice (-6, -5 2/5, -4 1/5)

Step-by-step explanation:

1) Find the nth term by using the rule given. Foil them out.

A(n) = -6 + 1/5n - 1/5

A(n) = 1/5n - 31/5

2) Find the first term by substituting 1 into n.

a1 = 1/5(1) - 31/5

a1 = -6

3) Find the fourth term by substituting 4 into n.

a4 = 1/5(4) - 31/5

a4 = -27/5 or -5 2/5

4) Find the tenth term by substituting 10 into n.

a10 = 1/5(10) - 31/5

a10 = -21/5 or -4 1/5

Therefore, the second choice (-6, -5 2/5, -4 1/5) is correct.

Given that A varies directly as B and inversely as C and that; A=12 when B=3 and C=2. Find B when A=10 and C=1.5​

Answers

Answer:

B = 1.875

Step-by-step explanation:

given that A varies directly as B and inversely as C then the equation relating them is

A = [tex]\frac{kB}{C}[/tex] ← k is the constant of variation

to find k use the condition A = 12 when B = 3 and C = 2 , then

12 = [tex]\frac{3k}{2}[/tex] ( multiply both sides by 2 to clear the fraction )

24 = 3k ( divide both sides by 3 )

8 = k

A = [tex]\frac{8B}{C}[/tex] ← equation of variation

when A = 10 and C = 1.5 , then

10 = [tex]\frac{8B}{1.5}[/tex] ( multiply both sides by 1.5 )

15 = 8B ( divide both sides by 8 )

1.875 = B

There are 4 circles and 6 triangles. What is the simplest ratio of circles to triangles?

Answers

Answer:

2/3

Step-by-step explanation:

Since there are 4 circles and 6 triangles, and they are asking for the ratio of circles to triangles, the fraction would be 4/6

4/6 when divided by two = 2/3 which is the simplest form of the fraction 4/6

The simplest ratio of circles to triangles would be; 2/3

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that there are 4 circles and 6 triangles.

Since there are 4 circles and 6 triangles, and they are asking for the ratio of circles to triangles, the fraction would be as given;

4/6

when divided by two we get;

2/3

This is the simplest form of the fraction 4/6

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Does this graph represent a function? Why or why not?
C A. Yes, because it passes the vertical line
test.
B. No, because it is not a
straight line.
No, because it fails the vertical line test.
O D. Yes, because it passes the horizontal line test.

Answers

Answer:

A. Because it passed the y axis

in which quadrant will you find the point (-2,-2)

Answers

⊱________________________________________________________⊰

Answer:

Quadrant 3

Step-by-step explanation:

Points with both negative co-ordinates are found in the third quadrant.

[tex]\boxed{\begin{tabular}{c | 1} \sf{~~Quadrant 2 (-x,y)~~& Quadrant 1~ (x,y)~~} \\ \\\\\\\\\\\\ \cline{1-2} \sf{Quadrant \ 3 (-x,-y) \ & Quadrant \ 4 (x,-y)} \\\\\\\ \\\\\\\\\\\end{tabular}}[/tex]

done !!

⊱_____________________________________________________⊰

A customer ordered 15 pieces of gourmet chocolate. The order can be packaged in small boxes that contain 1, 2 or 4 pieces of chocolate. Any box that is used must be full. How many different combinations of boxes can be used for the customer's 15 chocolate pieces

Answers

There are 20 combinations of boxes that can be used for the customer's 15 chocolate pieces.

In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or an expression; it is usually a number, but may be any expression. When the coefficients are themselves variables, they may also be called parameters.

It is given that a customer ordered 15 pieces of gourmet chocolate. The order can be packaged in small boxes that contain 1, 2 or 4 pieces of chocolate. Any box that is used must be full.

The coefficient of [tex]x^{15}[/tex] from the steps shown in the image is 20.

Hence, there are 20 possibilities.

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Flo has two equations that she found to be valuable models for her research. She thinks that if she can find the solution of the two graphs, she will be able to identify a key point to her studies. What can Flo expect to be her outcome for the solutions of these two graphs?

Answers

The point of intersection is (-2,1) and this is the solution of the two graphs and the correct option is A.

What is a System of Equations?

The system of equations is the set of equations that have a common solution.

The solution to the graph given is the answer to the Flo's model

The intersection point of the line of the two-equation is the solution to the two equations.

The point of intersection is (-2,1) and so the correct option is A.

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Which expression is equivalent to (4 + 6)²?

Answers

Answer:

A) -20+48i

Step-by-step explanation:

[tex](4+6i)^2\\(4+6i)(4+6i)\\16+24i+24i+36i^2\\**i^2=-1*\\16+48i+36i^2(-1)\\16+48i-36\\-20+48i[/tex]

What fraction of £1 is 31p?

Answers

Answer dfrac31*p1 that’s the answer

The fraction of 1 pound to 31 penny is 31/100.

Given that, £1  and 31 p.

What is metric conversion?

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

We know that, 1 pound = 100 penny

Now, the fraction of £1 is 31 p is

31/100

Therefore, the fraction of 1 pound to 31 penny is 31/100.

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Solve 4(5)^x= 500.
help please

Answers

Answer:

x=3

Step-by-step explanation:

Isolate x.

[tex]4(5)^x=500[/tex] Divide both sides by four

[tex]5^x=125[/tex] Take [tex]log_{5}[/tex] of both sides. In other words, what power must you raise 5 to in order to get 125? ([tex]5^3=125[/tex])

x=3

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70 more points ez ez ez Advances in medical technology and healthcare have increased the life expectancy of people around the world. what negative effect has this also influenced? A rectangular yard measures 8m x 6m. What happens to the area if each dimension is doubled? Please help. I am so confused. Learning Activity 2 (pls post under Unit 2)The table below shows the production levels and prices for the country Alpha in 2020 and 2021:20202021QuantityPriceQuantityPriceCars12$1020$12Trucks15$1422$16Use the information above to calculate:1. Nominal GDP for 2020 and 20212. Real GDP for 2020 and 2021, using 2020 as the base year3. Real GDP per capita for 2020 and 2021, if the population for both years is 100 people You are volunteering to help with the soccer team fundraiser for Valentine's Day. Your team promised to deliver one 16 ounce bag of nuts to students with at least 60% chocolate-covered nuts inside. When you arrive, instead of a bag of plain nuts and chocolate nuts, you find there are two bags of mixed nuts. The first says it is 50/50 plain and chocolate covered. The second bag contains 80% chocolate covered nuts.The team is dismayed, but you come up with a solution. You suggest combining ounces* of the 50/50 bag of nuts with ounces* of the 80% bag of nuts, to make it an approximately 60% mixture.*estimateThen another student on the team says, "Wait, we promised at least 60%. So if we just do half and half won't we be giving them at least 60%?" This student correct. GEOMETRY)In the accompanying diagram of circle O, the m angle AOB=36^o. What is the m angle ACB ?AnswersA. 9^oB. 36^oC. 72^oD. 18^o(Picture is below) Thank you! What two factors led to the us being considered a powerful nation during world war i? Suppose that some people have just been randomly assigned to two different teams. Research suggests that these people would be likely to exhibit discriminatory behavior (favoring the ingroup, and disfavoring the outgroup) ____. Under the _____, employees are required to notify their employers of military service obligations. Select one: a. Labor Management Relations Act b. Vietnam Era Veterans' Readjustment Assistance Act c. Rehabilitation Act d. Uniformed Services Employment and Reemployment Rights Act All of the following are true about social skills training except: A. it is a psychoeducational approach to interpersonal growth. B. it involves modeling and direct instruction and coaching. C. it uses role playing exercises to simulate social situations. D. it requires clients to engage in catharsis. An ideal gas at 20 degrees centigrade has a volume of 12 liters and a pressure of 15 atmospheres. Its temperature is raised to 35 degrees centigrade and compressed to a volume of 8.5 liters. Calculate the final pressure of the gas. (2 pts.) the sum of a number and 10 Dr. Benton just got his PhD, and he wants to print copies of his thesis in hardcover book format. He could use Middletown Printing, paying a setup fee of $39 and $3 for every book printed. Alternately, he could go through Oxford University, paying an up-front fee of $35 and $5 per book. It turns out that, given the number of books Dr. Benton wants to print, the two options cost the same amount. How many books is that? What is the amount? How does the image triangle compare to the pre-image triangle? PLEASE HELP ME! I WILL AWARD BRAINLIEST TO WHOEVER ANSWERS THE QUESTION BEST!Which of the following could be solution to the equation below?[tex]cos(3x+4)=sin(2x+6)[/tex]A. x = 2, sin 10 = cos 10B. x = 16, sin 52 = cos 38C. x = 34, sin 74 = cos 106D. x = 16, sin 38 = cos 52 A claim is a statement that A.explains an action, event, or opinion.B.explains why someone believes something to be true.C.shows a belief or opinion about an issue.D.shows information to prove something is true. 3. How did Roger B. Taney increase regional tensions in the United States during the 1850s?Taney declared that African Americans had the legal right to sue for their freedom.Taney helped found the Republican Party, which was known for being antislavery.Taney, as Chief Justice of the Supreme Court, helped decide that slaves were property.Taney, as Chief Justice of the Supreme Court, ruled that fugitive slaves be returned to their masters. Using desmosA. Locate, plot, and label on your graph where the pH value is 0.1B. Locate, plot, and label on your graph where the pH value is 1. A correlation coefficient between number of miles driven and number of gallons of gas remaining is most likely to be __________.