A correlation coefficient of is the amount of the variance in the dependent variable unexplained by the levels of the independent variable alleged to produce the effect under study. A correlation coefficient of 0.3 leaves what percent of the variance in the dependent variable unexplained by the independent variable

Answers

Answer 1

The percent of the variance in the dependent variable unexplained by the independent variable is 81%

What does correlation coefficient mean?

A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively correlated, the value either rises or falls together.

9 percent of the variance is explained by the independent variable if the correlation coefficient is 0.3.

The correlation coefficient is therefore represented as follows:

[tex]r = 0.3[/tex]

The explained variance is found using the following formula:

[tex]R^{2} = r^{2} \\R^{2} = (0.3)^{2} \\R^{2} = (0.3)*(0.3)\\R^{2} = 0.9[/tex]

Thus, 81% of the variance remains unexplained by variations in the independent variable.

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Related Questions

Destiny is 56 3 4 inches tall. Glen is 1 1 2 inches taller than Destiny and Jane is 1 1 5 inches taller than Glen. How tall is Jane

Answers

By simple algebra, Jane is 57 9/20 inches taller.

In math, what does taller than mean?

If one object or person's height exceeds that of another, the taller object or person is said to exist. There is a two-object or two-person limit. Taller is a relative term. For instance: Hoppy stands at 7 feet.

You can begin this issue by first figuring out Dwight's height. At 54 3/4 inches, he would be 1 1/2 inches taller than Chloe:

54 3/4 plus 1 1/2 equals 55 + (3/4 + 1/2) equals 55 + (3/4 + 2/4) equals 55 + 5/4 equals 56 1/4 inches.

Dwight stands at 56 1/4 inches.

Dwight is 1 1/5 inches shorter than Jane, so

56 1/4 plus 1 1/5 is 57 plus (1/4 plus 1/5) is 57 plus (5/20 plus 4/20) is 57 plus 9/20 is 57 9/20 inches.

Jane stands at 57 9/20 inches.

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Can someone please help me with this?

Answers

When solving the following system of equations,  the x in the first equation would be the easiest to solve for.

How to solve the equation?

Systems of equations can be solved using one of three techniques: graphing, substitution, or elimination. Simply plot the provided equations on a graph and locate the point(s) where they all cross to solve a problem by graphing. You may find the values of the variables you are working for by finding the location of this point.

The result of the first equation is

x + 6y = 25

we can easily solve for x by subtracting 6y from both sides we have  

x + 6y - 6y = 25 - 6y

x - 25 - 6y

So, the first equation's x term can be simply solved.

When solving the following system of equations,  the x in the first equation would be the easiest to solve for.

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Is horizontal the Y?

Answers

Yes, if the value of y = 0 then it makes the horizontal line.

The term horizontal line is defined as one that goes from left to right.

And here we also know that they are parallel to the x –axis in the coordinate plane.

And the horizontal line has a slope of zero.

While we looking into the move along the right of the line, then it does not rise or fall at all.

Here we have to the that the following factors are also included in feature:

In as the horizontal line is parallel to the x-axis and it is parallel to the horizon.

Where as the horizontal line is a sleeping line and it is also defined as can be a sleeping, standing, or a slanting line.

Where the horizontal line is perpendicular to the y-axis.

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Is 2x 3 a linear equation in two variables?

Answers

Therefore , the solution of the given problem of linear equation comes out to be  it is not a linear equation in two variables.

A linear equation is defined.

A linear model is the one that satisfies the algebraic formula y=mx+b. m is the y-intercept, while B is the slope. The foregoing sentence is sometimes referred to as a "mathematical expression having two variables" both y and x are different factors. Bivariate linear equations are two-variable linear equations. There are several uses for linear equations: , all result in zero. An equation is said to be linear if its formula is y=mx+b, where m denotes the slope and b the y-intercept. Y=mx+b is the formula for an equation, where m stands for the slopes and b for the y-intercept.

Here,

Given : 2x + 3 =0

thus,

To find that it is linear equation in two variable is given  equation

As,

We can see there is only one variable that is x.

So , it is not a linear equation in two variables.

Therefore , the solution of the given problem of linear equation comes out to be  it is not a linear equation in two variables.

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What is the y-intercept of the line?
b=?

Answers

Answer:

2

Step-by-step explanation:

look at where it intersects the line that goes straight up

How do you prove irrational rational and irrational?

Answers

Rational and Irrational numbers can be depicted as the number that can be communicated as p/q are reasonable and which can't be communicated are called Unreasonable Numbers.

Rational Numbers are characterized as a number that can be addressed as p/q where q isn't equivalent to zero.

We can likewise, say that the part where the denominator and the numerator are whole numbers and the denominator isn't equivalent to zero is called Reasonable Numbers.

For Instance: 2/3, 3/9, addresses  Rational numbers.

Irrational Numbers are characterized as genuine numbers that can't be communicated as a proportion of whole numbers.

For Instance: [tex]\sqrt{2}[/tex], [tex]\sqrt{3}[/tex] addresses an Irrational number.

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Two radar stations 4.3 miles apart are tracking an airplane. The straight-line distance between
Station A and the plane is 9.6 miles. The straight-line distance between Station B and the plane is 8.6
miles. What is the angle of elevation from Station A to the plane? Round the distance to the nearest
degree.
9.6 ml
Ad
4.3 mi
8.6 mi
B

Answers

Therefore , the solution to the given problem of trigonometry comes out to be  angle of elevation : 62.3°.

What is trigonometry?

The area of mathematics called trigonometry examines the correlation between triangle length l. The field first came into existence in the Classical world, presumably in the third-century BC, as a result of the integration of geometry with astronomy studies. Precise approaches mathematics deals with certain trigonometric equations and possible uses of them in calculations. There are six common trigonometric functions in trigonometry. They are known by their respective names and abbreviations sine, trigonometry, tangent, secant, etc. cosecant (csc). The studies of triangle aspects, particularly those right triangles, is known as trigonometry. However, studying geometry entails learning about all polygons' characteristics.

Here,

given  :

An aircraft is being followed by two radar stations, which are 4.3 miles apart.

Station A is 9.6 miles away from the plane in a straight line.

Thus,

To find the angle of elevation  from station A to plane :

Using Trigonometric ratios:

=> Sin A  = 8.5 / 9.6

=> Sin A = 85/96

=> A =  [tex]Sin^{-1}[/tex](85/96 )

=> A = 62.302840124651483 °

=> A = 62.3°

Therefore , the solution to the given problem of trigonometry comes out to be  angle of elevation : 62.3°.

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For what value of k (- 2 is a zero of the polynomial 3x² 4x 2k?

Answers

The polynomial's zero is 2 since the value of k = -2 is  [tex]3x^{2}[/tex]  +4x+2k . A polynomial is an equation that combines variables, constants .

what is polynomial ?

Using just the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables, a polynomial is an expression in mathematics made up of variables (also known as indeterminates) and coefficients. Using addition, subtraction, multiplication, and division of numbers, a polynomial is an equation that combines variables, constants, and exponents (No division operation by a variable).

given

−2 is a zero of f(x)=[tex]3x^{2}[/tex]+4x+2k

f(−2)=0

∴[tex]3(-2)^{2}[/tex] +4(−2)+2k=0

=>12−8+2k=0

=>2k=−4

=>k=−2

The polynomial's zero is 2 since the value of k = -2 is  [tex]3x^{2}[/tex]  +4x+2k .

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HELPPPPPP PLEASEeeeeeeeeeeeeee

Answers

Answer:

1/2

Step-by-step explanation:

-3x+5x-2>-4x+1

first, you will combine like terms. -3x+5x=2x.

2x-2>-4x+1

you need to move the variable to one side. So you will add 4x on both sides.

6x-2>1

You need to add 2.

6x>3.

Now you will divide both sides by 6 to get x by itself.

x> .5 or 1/2

pls barinliest

Shoes and hats are on sale. The expression 1/4(s + 24. 80) can be used to determine the discount when you buy shoes with a retail price of s dollars and hats with a total retail price of $24. 80. Write another expression that can be used to determine the discount

Answers

The expression (1/4)(s + 24.80) is used to determine the discount when you buy shoes with a retail price of s dollars and hats with a total retail price of $24.80. The expression calculates the discount as a quarter of the total retail price of the shoes and hats. So another expression is 0.25s + 6.20.

Another expression that can be used to determine the discount would be to calculate the discount as a percentage of the total retail price of the shoes and hats. For example, if the discount is 25%, the expression would be:

Discount = 0.25 × (s + 24.80)

This expression calculates the discount as 25% of the total retail price of the shoes and hats.

Another expression can be :

Discount = 0.25×s + 6.2

This expression calculates the discount as 25% of the shoes price and $6.2 for hats.

It is important to note that the specific expression used to determine the discount will depend on the details of the sale and how the discount is being offered. The above expressions are just examples of how the discount can be calculated using different methods.

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What will be the output of 7 by 2?

Answers

The resultant output of  the given question is 7 by 2 is 14.

This is because 7 multiplied by 2 is equal to 14

When you multiply two numbers, the result is the product of the two numbers. In this case, 7 multiplied by 2 is equal to 14.

Mathematicians use the process of multiplication to calculate the product of two or more given numbers. It is a fundamental mathematical operation in maths that is frequently utilised in everyday life. When we need to combine groups of similar sizes or values , we utilise multiplication.

Hence the correct answer to the given question is 14 .

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Joe painted 3/4 of a bedroom in 1/2 of a day. How many days will it take for Joe to paint one bedroom?

Answers

Answer:

3/4

Step-by-step explanation:

Answer:

2/3 of a day

Step-by-step explanation:

3/4 : 1/2 = 1 : X

X=2/3

In the scale drawing below, 1 cm
represents 2 m.
a) What is the width, in metres, of the
building in real life?
b) The real building is 4.6 m tall. What is
the height of the drawing of the building,
in centimetres?
0
cm
1
2 3 4
5
6
7
8
זייןיייןיי
9 10

Answers

Answers:

A)  13 meters

B)  2.3 centimeters

=================================================

Work Shown:

Part A

The ruler diagram shows the building on paper is 6.5 cm wide. The right side of the building lines up with the midpoint marker between 6 and 7.

1 cm = 2 m

6.5*(1 cm) = 6.5*(2 m)

6.5 cm = 13 m is the width of the building in real life

Or you can solve it like this

(1 cm)/(2 m) = (6.5 cm)/(x meters)

1/2 = 6.5/x

1*x = 2*6.5

x = 13

------------------------

Part B

(1 cm)/(2 m) = (x cm)/(4.6 m)

1/2 = x/4.6

1*4.6 = 2*x

4.6 = 2x

x = 4.6/2

x = 2.3 centimeters is the height of the building in the drawing

Find the EXACT values of ALL SIX trigonometric functions of θ(sin, cos, tan, cot, sec, csc) from the information given. (a) cosθ=7/12, sinθ<0 (b) tanθ=4/3, θ in Quadrant III

Answers

(a) Since cosθ = 7/12 and sinθ < 0, we can find the other four trigonometric functions as follows:

sinθ = √(1 - cos²θ) = √(1 - (7/12)²) = √(1 - 49/144) = -√(95/144)

tanθ = sinθ / cosθ = (-√(95/144)) / (7/12) = -4√(5/18)

cotθ = 1 / tanθ = -1 / (-4√(5/18)) = 1/(4√(5/18))

secθ = 1 / cosθ = 1 / (7/12) = 12/7

cscθ = 1 / sinθ = -1 / (-√(95/144)) = √(95/144)

(b) Since tanθ = 4/3 and θ is in Quadrant III, we can find the other five trigonometric functions as follows:

cosθ = √(1 / (tan²θ + 1)) = √(1 / (16/9 + 1)) = √(9 / 25) = 3/5

sinθ = cosθ * tanθ = (3/5) * (4/3) = 4/5

cotθ = 1 / tanθ = 1 / (4/3) = 3/4

secθ = 1 / cosθ = 1 / (3/5) = 5/3

cscθ = 1 / sinθ = 1 / (4/5) = 5/4

What is trigonometric functions?

Trigonometric functions are a set of functions that relate the angles of a right triangle to the ratios of the sides of the triangle. The six most commonly used trigonometric functions are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).

The sine function, represented by sin, gives the ratio of the side opposite the angle to the hypotenuse. The cosine function, represented by cos, gives the ratio of the adjacent side to the hypotenuse. The tangent function, represented by tan, gives the ratio of the opposite side to the adjacent side.

The cotangent function, represented by cot, gives the ratio of the adjacent side to the opposite side. The secant function, represented by sec, gives the ratio of the hypotenuse to the adjacent side, and the cosecant function, represented by csc, gives the ratio of the hypotenuse to the opposite side.

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Can u please help.............

Answers

Answer:

152°

Step-by-step explanation:

2x + 48 = 3x - 4 (the measure of an exterior angle of a triangle = the sum of the measures of the two non-adjacent interior angles of the triangle)
=> 4 + 48 = 3x - 2x (on transposing)
=> 52 = x
Substituting the vale of x in the m∠JKM,
m∠JKM = 3x - 4 = 3(52) - 4 = 152°

Hope you understood!!

A bicycle has a listed price of 839.95 before tax. If the sales tax rate is 85%, find the total cost of the bicycle with sales tax included. Round to the nearest cent as necesary.

Answers

$1553.91

Step-by-step explanation:

839.95 ×.85 = 713.96

839.95 + 713.96 = 1553.91

fill in the following statements with sometimes, always, or never in order to the statements true

Answers

Perfect squares NEVER be irrational numbers.

Repeating decimals will ALWAYS be rational numbers.

Irrational numbers will NEVER be able to be written as fractions.

What is a perfect square?

A square number, also known as a perfect square, is an integer that is the square of another integer, or the result of multiplying another integer by itself. For instance, 9 is a square number since it equals 3² and is represented by the symbols 3 × 3.

A number whose decimal representation eventually becomes periodic is known as a repeating decimal, also known as a recurring decimal.

All real numbers that are not rational are considered irrational numbers. In other words, it is impossible to express an irrational number as the ratio of two integers.

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Complete question

Fill in the following statements with either "sometimes ", "always ", or "never " in order to make it a true statement.

Perfect squares _______be irrational numbers

Repeating decimals will_____be rational numbers

Irrational numbers will____ be able to be written as fractions

What will be the simplified form of 21b − 32 7b − 20b?

Answers

The simplified form of 21b − 32 7b − 20b would be 8b - 32.

Reducing an equation is a technique for rewriting it in a more straightforward format. Although some mathematical equations are not in the form of linear equations, they can be converted into linear equations by applying certain mathematical operations to them. These equations can be easily solved after being reduced to linear form, and the value of the unknown can be determined.

21b – 32 + 7b – 20b

= 21b + 7b – 20b – 32

= 28b – 20b – 32 = 8b – 32

21b - 32 + 7b - 20b

= 21b + 7b - 20b -32

= 8b - 32

=8b - 32.

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sutton is listing the prime factorazation for 220 what is the last factor she needs 2 square root of 5

Answers

Answer:

4.472135955

Step-by-step explanation:

Ai Mi went to the store to buy some chicken. The price per pound of the chicken is $3. 50 per pound and she has a coupon for $2. 50 off the final amount. With the coupon, how much would Ai Mi have to pay to buy 3 pounds of chicken? Also, write an expression for the cost to buy pp pounds of chicken, assuming at least one pound is purchased. ​

Answers

Ai Mi have to pay $10.50 to buy 3 pounds of chicken.

An expression for the cost to buy pp pounds of chicken, assuming at least one pound is purchased.

Cost = (3.5 * pp) - 2.5

The cost to buy 3 pounds of chicken without the coupon would be 3 * $3.50 = $10.50

With the coupon, Ai Mi would have to pay $10.50 - $2.50 = $8.

The expression for the cost to buy pp pounds of chicken:

Cost = (3.5 * pp) - 2.5

Here, pp represents the number of pounds of chicken that Ai Mi wants to buy.

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A container has 2 cups of milk in it. How many 1/4 cups are in the container?
Explain or show your reasoning.

Answers

the answer is 8. to find this answer you can divide 2 by 1/4…multiply the 2 by the reciprocal of 1/4. 2 * 4/1

What should be the value of a if the value of 2x² XA 4 equals to 5 when X 0?

Answers

The value of a is -1 When we put the value of x as zero all the terms which include x become zero then only constant terms are remaining.

The given question is in the form of an equation.

let's try to understand what is an equation.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance,

the equation 4x + 56 = 14 consists of the two equations 4x + 56 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.

There are so many types of equations present linear equations, quadratic equations, and cubic equations.

According to the degree of the equation so many different types of equations.

2x^2 + x -a + 4  = 5 put x = 0.

2*0 + 0 - a + 4  = 5

-a + 4 = 5

-a = 5 - 4

-a  = 1

a  = -1.

So the value of a is -1.

Given Question is incomplete complete question here

What should be the value of a if the value of  2x^2 + x -a + 4  equals to  5 when x =0.

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Lani is making a cake in the shape of a cone. to make the cake, she uses a cone shape mold. the mold has a diameter of 10 inches and a height of 12 inches. what is the volume of the cake? use 3.14 for pi. round to the nearest tenth, if necessary. responses 125.6 in³ 125.6 in³ 314 in³ 314 in³ 942 in³ 942 in³ 1256 in³

Answers

The volume of the cake Lani is making is 314 inches³.

Volume is defined as the amount of space a figure occupies. The formula for the volume of a cone is given by:

V = πr²h/3

where V = volume

r = radius of the base of the cone

h = height of the cone

π = 3.14

If the cone shape mold has a diameter of 10 inches, then its radius is equal to half of 10 which is 5 inches.

Plug in the values to the formula and solve for the volume.

V = πr²h/3

V = (3.14)(5 inches)²(12 inches)/3

V = 314 inches³

Hence, the volume of the cake is 314 inches³.

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HELP PLSSS I NEED THIS QUICK!!!!!

Answers

Answer: Its B

Step-by-step explanation:

Cual es mayor 0.08 o 0.2

Answers

Answer:

0.2

Step-by-step explanation:

Answer:

0.2 es mayor.

Step-by-step explanation:

0.2>0.08

What is the coefficient of y in the expression 2y 5?

Answers

The coefficient of Y is 10 in  2y 5.

Any integer or symbol that multiplies the variable of a single term or the terms of a polynomial to represent a constant value is known as a coefficient in mathematics. In some phrases, a letter might be substituted for the usual number. For example, x is the variable and a and b are the coefficients in the formula: ax2 + bx + c.

What is a coefficient?

A coefficient is a quantity or number that is coupled with a variable. Frequently, an integer is multiplied by the variable and written next to it. The variables that don't have a corresponding number are presumed to have a coefficient of 1.

10 is the Y coefficient in 2y 5.

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A line is drawn so that is passed through the points (2, -1) and (0, 5). What is the slope of the line

Answers

If a line is drawn so that it passes through the point [tex](2,-1)[/tex] and [tex](0,5)[/tex] , then  slope of line is -3 .

What is Slope ?

The slope of a line is defined as measure of steepness and direction of  line. The slope of line in a plane help in predicting whether lines are parallel, perpendicular, or none without using a compass.

The slope of line passes through points [tex](x_{1} ,y_{1} )[/tex] and [tex](x_{2} ,y_{2} )[/tex] is calculated by formula ⇒ [tex]Slope = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] ;

the points are given as  [tex](2,-1)[/tex] and [tex](0,5)[/tex]  ;

So , on substituting the values in the slope formula ,

we get ;

[tex]Slope = \frac{5 -(-1) }{0 -2 }[/tex] ;

= [tex]\frac{6}{-2}[/tex]

= -3 .

Therefore , the required slope of the line is -3 .

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Makea is making smoothies. For every 4 cups of orange juice, she uses 3 tablespoons of yogurt. Which ratio of orange juice to yogurt is NOT equivalent to the ratio she wants to use in the recipe?
A-40:30
B-19:9
C-15:20
D-8:6

Answers

Answer: A ratio is a comparison of two or more values. To compare the ratios of orange juice to yogurt, we want to ensure that the proportion of orange juice to yogurt is the same in each ratio.

Option A is 40:30. To compare this ratio to the original ratio, we can convert the amounts in cups to tablespoons. 40 cups is equal to 320 tablespoons and 30 tablespoons of yogurt. The proportion of orange juice to yogurt is not the same as the original ratio since 320 is not equivalent to 3.

Option B is 19:9. To compare this ratio, we convert the amount in cups to tablespoons. 19 cups is equal to 152 tablespoons of orange juice and 9 tablespoons of yogurt. The proportion of orange juice to yogurt is not the same as the original ratio since 4 cups of orange juice is not equal to 19 cups.

Option C is 15:20. To compare this ratio, we convert the amount in cups to tablespoons. 15 cups is equal to 120 tablespoons of orange juice and 20 tablespoons of yogurt. The proportion of orange juice to yogurt is not the same as the original ratio since 4 cups of orange juice is not equal to 15 cups.

Option D is 8:6. To compare this ratio, we convert the amount in cups to tablespoons. 8 cups is equal to 64

Step-by-step explanation:

Determine the missing angle measure.

Answers

Answer:

19°

Step-by-step explanation:

In this problem, we have complementary angles, which add up to 90° as indicated by the right angle symbol. So, getting x° is as simple as 90°-71°=19°.

100 students were surveyed about which subject they liked best. 41 students said they like math, and 25 students said they liked Science. Of those students surveyed, 19 said they liked both.


How many students is the complement of math?

Answers

In 100 students, Science was rated favorably by 25 students, while math received ratings from 41 students. 19 of the students polled indicated that they approved of both. 16 students are the complement of math.

What is complement of a number?

The phrase "complement" is typically used to describe a subset of a set that does not include another subset. The entire original set is obtained by adding the complement and its taking. The complement of a set is typically represented by the notations. The complement of a set is the set that includes all the elements of the universal set that are not present in the given set.

The Total number of students were 100

Students who like maths were 41

Students who like science were 25

Students who like both maths and science were 19

Students who does not like maths are 41-25 = 16.

So the students who are the complement of math are 16.

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Solve the proportion: Men 45 : ? Women 50 : 10 Find one value of x so that x + 3 is equal to 2x. The task of determining the object responsible for a particular image on one's retina is called thea. Radiated wavelength paradoxb. Inverse projection problemc. Serial location taskd. Fusiform face role did the treaty become activated as soon as he signed it? _________ why or why not? What is the significance of the wealth gap? Sort the following phrases as descriptions of alpha helices, beta turns or all alpha Helices 1st residue hydrogen- bonded to 5^th residue (that is, residue n is H- bonded to residue n + 4) all - NH groups point in the same direction Beta Sheets successive R groups point in opposite directions Beta Turns 1^st residue (that is, residue n is H- bonded to residue n+3 All contains-NH hydrogen bonded to C = O 8-2z+3(x+y), when x=4, y=9, Z=3 A statement that responds directly to your opponents argument in order to example or show how/why their point is incorrect or flawed BONUS: What elite, educated group in the Americas similarly led the North and Latin American revolutions for independence almost 2 centuries earlier PLEASE HELP W THE QUESTIONS IN IMAGE ILL GIVE BRAINLIEST Secret Annex Tour ( Anne Frank )- How would the factory workers not know about the Secret Annex?( no random answers or removed) Nevaeh earned a score of 850 on Exam A that had a mean of 550 and a standard deviation of 100. She is about to take Exam B that has a mean of 36 and a standard deviation of 10. How well must Nevaeh score on Exam B in order to do equivalently well as she did on Exam A? Assume that scores on each exam are normally distributed. please help im lost ;math 10th grade Which proportion is solved correctly using cross products?4/6 = 12/18 = 4x12=9x18or 4/6 = 12/18 = 4x12=9x12 A map has a scale of 1 inch=35 miles. What is the actual distance if the distance on the map is 3.5 inches Describe two of the leading philosophical underpinnings of behaviorism. Evaluate how these underpinnings affect behavioristic education, and defend your position with evidence and argument. Provide the type and hexadecimal representation of the following instruction: sw $t1, 32 ($t2) (20pt) Question 22 This question has two parts. First, answer Part A. Then, answer Part B. Part A STATE YOUR ASSUMPTION Liling is making a quilt. She starts with two small squares of material and cuts them along the diagonal. Then she arranges the four resulting triangles to make a large square quilt block. She wants the large quilt block to have an area of 36 square inches. A. What side lengths should Liling use for the two small squares of material? Explain. Round to the nearest tenth, if necessary. In. ; For the block to have an area of 36 square inches, each side must be V2 in. Or about inches. By the inches. This means the hypotenuse of each small right triangle is V2 inches 45-45-90 Triangle Theorem, the sides of these triangles measure Part B Do b. Explain any assumption that you make to answer part a. Next Question Check Answer Privacy and Cookies | Terms of Use | Minimum Requirements Platform Status 2021 McGraw-Hill Education. All Rights Reserved. Goran wants to build a square picture frame with sides that are 5.25 inches long. Natalie wants to build a square sandbox and needs 11 times the amount of wood that Goran needs to build his frame. They have 4 pieces of wood that are each 65.5 inches long. How much wood will they have left over after making the frame and sandbox? Is 4 a perfect square?