How to solve 40 50 90 triangles

Answers

Answer 1

The 40 50 90 triangle can be solved using Pythagoras theorem.

What is the 40 50 90 triangle?

A triangle in which both legs are congruent, and the length of the hypotenuse is the length of a leg times the square root of 2.

Given:

We have 40 50 90 triangles.

A triangle with two equal legs whose hypotenuse measures one leg's length multiplied by the square root of two.

Because the length of the hypotenuse in the triangle above equals the length of one of its legs times sqrt(2), which is 3, the triangle is a 40-50-90 triangle.

So, Such type of Triangles can be solved using Pythagoras theorem.

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Related Questions

Write two expressions for the perimeter of a square explain what information is in one of your expression that is not in the other

Answers

The expression for the perimeter of a square will be p = 4s.

How to calculate the perimeter?

The perimeter of a figure of shape can be gotten the total length of the boundary which the figure or the shape has. it's gotten by adding all the length that the shape has.

It should be noted that a square has four equals sides. The expressions for the perimeter of a square will be:

p = 4 × s.

p = 4s

where s = number of sides.

p = perimeter

For example if the side is 2cm. The perimeter will be calculated by multiplying 4 by the value of the sides. In this case, this will be calculated as:

= Value of sides × 4

= 2 × 4

= 8cm

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Please help me! Find the circumference of the circle

Answers

Answer:

convert to cmthen write the perimeter of the circle and solve

In a certain city, the mean household annual income is $45,000 with a standard deviation of $6,000.
Suppose a certain household has an annual income with a z-score of 1.5. What is their annual income?

Answers

The annual income of a certain household that has a z-score of 1.5, is 80,000.

What is z-score?

The relationship between a value and a group of values' mean is described statistically by the Z-score. Standard deviations from the mean serve as the unit of measurement for Z-score. The score for a data point is equal to the mean score if the Z-score is 0. A value that deviates by one standard deviation from the mean is indicated by a Z-score of 1.0.

Z-scores can either be positive or negative, with a positive value indicating that the score is above the mean and a negative value indicating that the score is below the mean. Z-scores are measurements of an instrument's variability used in investing and trading that traders can use to estimate volatility.

Let the annual income be x.

x has μ = 50000, σ = 20000

We know that for given x, z = (x−μ)/σ

Given that z - score = 1.5

Substituting the values we get

⇒ 1.5 = (x−50000)/20000

​⇒ 1.5 × 20000 = x−50000

​⇒ 30000 = x − 50000

⇒ x = 30000 + 50000

⇒ x = 80,000

Thus, The annual income of a certain household that has a z-score of 1.5, is 80,000.

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help please!! this is for tonight, I don't know how to use the "undefined" please help

Answers

The equation of the line in slope-intercept form, with the point (4, -5) and an undefined rate of change is x = 4.

What is the slope-intercept form?

Mathematically, the slope-intercept form of a line can be calculated by using this equation:

y = mx + c

Where:

m represents the slope or rate of change.x and y represents the data points.c represents the y-intercept.

In Mathematics, any line that has an undefined slope (rate of change) is a vertical line because it does not have a y-intercept. This ultimately implies that, a vertical line that is parallel to the y-coordinate (y-axis) would have an undefined slope (rate of change).

Generally speaking, the equation of a line that has an undefined slope (rate of change) is given by this mathematical expression;

x = a

Where:

a represents the x-intercept.

At point (4, -5), the required equation with an undefined slope (rate of change) is x = 4.

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Solve the inequality 3 x+2 y≥−6 graphically.

Answers

Answer:

Step-by-step explanation:

Answer: y ≥ −3/2x − 3

Step-by-step explanation:

Graph the inequality by finding the boundary line, then shading the appropriate area.

Hope this helps!

May someone please help me.

Answers

Answer: x=9

Step-by-step explanation:

Here the given angles are,

50,80,6x-4

The sum of the angles of a triangle is 180 degrees and hence

50+80+6x-4=180

130+6x-4=180

126+6x=180

6x=180-126

6x=54

x=54/6

x=9

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Review the graph of complex number z. On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point z is at (negative 7, negative 6). What is the conjugate of z?

Answers

The conjugate is -7+6i. The correct option is third.

What is conjugate?

When two binomials have the same terms but different arithmetic operators in the center of these related words, they are said to be conjugate. For instance, the conjugate of p + q is p - q.

Given:

On a coordinate plane,

the y-axis is labeled imaginary and the x-axis is labeled real.

Point z is at (negative 7, negative 6).

Z(-7, -6)

So, the equation,

-7-6i

So, the conjugate of the equation is,

-7+6i

Therefore, -7+6i is the conjugate of the points.

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a candy store makes a 9-pound of gummy candy jelly beans and hard candy the cost of gummy candy is $2.00 per pound jelly beans cost $3.00 per pound and hard candy costs $3.00 per pound the mixture calls for two times as many gummy candy pieces as jelly beans the total cost of the mixture is $23.00 how much of each ingredient did the store use? please show explanation

Answers

Answer: 4.5 jelly beans

Step-by-step explanation: 3.00$ x 5 = 15.00$ x (2$) = 23.00$

HELP BRAINLIEST FOR FASTEST AND CORRECT NO NEED TO EXPLAIN

Answers

Answer:

The answer is 48

Step-by-step explanation:

Answer:

48 students

4*12=48

If a coin is tossed 4 times, the odds of it coming up either heads every time or tails every time are 1:7. What is the probability the coin comes up all heads or all tails after 4 tosses?

Answers

The probability the coin comes up all heads or all tails after 4 tosses is 1/8

How to determine the probability from the odds?

The value of the odds is given as

Odds = 1 : 7

Represent the odds as a fraction

So, we have the following representation

Odds = 1/7

To convert the odds to probability, we make use of the following equation

Probability = Odds/(1 + Odds)

Substitute the known values in the above equation, so, we have the following representation

Probability = (1/7)/(1/7 + 1)

Evaluate the sum

Probability = (1/7)/(8/7)

Evaluate the quotient

Probability = 1/8

Hence, the probability is 1/8

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Is 8 15 and 16 is a Pythagorean triplet?

Answers

No, 8,15 and 16 is not a Pythagorean triplet.

A set of three integers that can be the lengths of the sides of a right triangle is called a Pythagorean triple, it also defines the positive integers a, b, and c which is a right triangle that exists with legs a,b, and hypotenuse c.

By the Pythagorean theorem, this is equivalent to finding positive integers a, b, and c satisfying  a²+b²=c²

One of the simplest Pythagorean triples is the set “3,4,5.”

Now, substitute the values in the above equation:

16²=8²+15²

256=64+225

256[tex]\neq[/tex]289

Therefore, (8,15,16) is not a Pythagorean triplet.

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Which description represents this equation? 7x-2=33

Answers

Answer:

Step-by-step explanation:

pull up in a monsta automobile gangsta

Answer:

7x = 33+2

7x = 35

x = 5

Step-by-step explanation:

A SIMPLE EQUATION

The surface area of a cube is 24cm^2 . Find the
length of the sides.
Help please

Answers

The length of the sides of cube will be;

⇒ 2 cm

What is mean by Cube?

A cube is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six squared faces with eight vertices and twelve edges is called cuboid.

Given that;

The surface area of a cube = 24 cm².

We know that;

The surface area of a cube with side 'a' is,

⇒ S.A = 6a²

Here, The surface area of a cube = 24 cm²

Hence, We get;

⇒ 24 = 6a²

⇒ 24/6 = a²

⇒ a² = 4

⇒ a = √4

⇒ a = 2 cm

Thus, The side of cube = 2 cm

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Which transformation on triangle XYZ results in a triangle that is similar, but not congruent, to triangle XYZ?
A. a translation 3 units to the right
B. a reflection across the line y = - 2x + 3
C. a rotation 90° clockwise around the origin
D. a dilation centered at the origin with a scale factor of​

Answers

Answer: Choice D

Step-by-step explanation: A dilation would result in a similar triangle because multiplying by the scale factor will create proportional sides. However, this will change the size of the triangle, making it not congruent.

Answer:

D.

Step-by-step explanation:

Congruent means that the triangles are exactly the same in shape and size.

Dilating the triangle is the only answer that will change its size.

Layla leans a 26-foot ladder against a wall so that it forms an angle of 61° with the
ground. How high up the wall does the ladder reach? Round your answer to the
nearest tenth of a foot if necessary.

Answers

Step-by-step explanation:

Calculate the approximate value: 26 x 0.87462

Calculate: 22.74012

Round  22.74012 to the required place

Answer:22.7

   

Hope this helps

Bridget says that when a standard number cube is rolled getting an even number is an outcome. Uma says that getting an even number is an event. Who is correct? Explain

Answers

Uma is correct, because getting an even number is an event.

What is Probability?

The term probability refers to the likelihood of an event occurring.

Given that;

Bridget says that when a standard number cube is rolled getting an even number is an outcome.

And, Uma says that getting an even number is an event.

Now,

We know that;

When a standard number cube is rolled then getting an even number is an event.

Hence, Uma statement is correct.

Thus, Uma is correct, because getting an even number is an event.

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11. A. Four times a breadth of the room is equal to 3 times the length. If the breadth had been
1 meter more and the length 1 meter less the room would have been a square. Find the
dimension of room. ​

Answers

The length of the rectangle is 3l/4, and the breadth of the rectangle is s = 3l/4

Let's call the original breadth of the rectangle "b" and the original length of the rectangle "l". From the information given, we know that:

4b = 3l

We also know that when the breadth is increased by 1m and the length is reduced by 1m, the rectangle becomes a square. Therefore, the new breadth and new length are equal. Let's call the new breadth and length "s".

s = b + 1 = l - 1

We can substitute the first equation into the second equation to get:

s = b + 1 = (3l/4) - 1

Now we can solve for s:

s = b + 1m = (3l/4) - 1m

s = (3l/4) - 1m + 1m = (3l/4) = l - 1m

Now we can substitute this back into the first equation:

4b = 3(l - 1m)

We can now solve for b:

4b = 3l - 3m

b = (3l/4) - (3m/4)

Therefore, the original breadth of the rectangle was (3l/4) - (3m/4) and the original length was 3l/4.

We can find the value of length and breadth by substituting the value of s in the first equation

4s = 3l

s = 3l/4

So, the length of the rectangle is 3l/4, and the breadth of the rectangle is s = 3l/4

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Captain Kevin has a ship, the H. M. S. Khan. The ship is two furlongs from the dread pirate Ben and his merciless band of thieves. The Captain has probability \dfrac{3}{5} 5 3 ​ of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability \dfrac{1}{5} 5 1 ​. If both fire their cannons at the same time, what is the probability that the Captain hits the pirate ship, but the pirate misses?

Answers

Probability that the Captain does NOT hit the pirate's ship × Probability that the pirate hits the Captain's ship = (2/5) × (1/5) = (2/25) = 0.08

What is probability?

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true.

The probability that the pirate hits the Captain's ship, but the Captain misses

= 2/25) = 0.08

P(C) = (3/5) is the likelihood that the captain will strike the pirate ship.

P(C') = 1 - (3/5) = (2/5) is the probability that the captain will miss the pirate ship.

P(p) = (1/5) is the likelihood that the pirate will sink the captain's vessel.

P(p') = 1 - (1/5) = (4/5) is the probability that the pirate will miss the captain's ship.

The likelihood that the pirate will hit the captain's ship while the captain misses is increased if they both fire their cannons at the same moment.

P(C' n p) is he needed probability.

P(C' n p) = P(C') P since the two events are independent of one another (p) The likelihood that the pirate will sink the captain's vessel but that the capain will miss = (Chance that the Captain misses the pirate's ship) (Chance that the pirate hits the Captain's ship) = (2/5) × (1/5) = (2/25) = 0.08

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The average age of a university student was found to be 24 with a standard
deviation of 2. What age group is within 2 standard deviations of the mean?

Answers

The age group that falls between two standard deviations is 20 to 28.

What is the standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean.

Given, The average age of a university student was found to be 24 with a standard deviation of 2.

Therefore, age group is within 2 standard deviations of the mean is,

24 + 2×2 = 24 + 4 = 28,

And 24 - 2×2 = 24 - 4 = 20.

So, The age group between 20 to 28 falls within 2 standard deviations of the mean.

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Help ASAP!!!!

Which of the following statements is NOT true?

Answers

The third one is incorrect

FOR 50 POINTS + BRAINLIEST! (NEED ASAP)​

Answers

Answer:

If Lola wants, then Lola gets

Hypothesis - She is a spoiled brat who has rich parents. But where did they                                                                            get their wealth?

Conclusion - Her parents are hard workers who have made it up the ladder of wealth.

2. If the measure of an angle is 58*, then the angle is acute

Hypothesis - acute angles are from 1* to 89* which makes it the smallest angle. But why when the word acute means severe?

Conclusion - We know that anything below 90* is an acute angle.

This should be a start. I will finish in a sec...

Answer:

1.  Hypothesis:  Lola wants.  

    Conclusion:  Lola gets.

2. Hypothesis:  The measure of an angle is 58°.

    Conclusion:  The angle is acute.

3.  Hypothesis:  The segments are diagonals of a rectangle

    Conclusion:  The segments are congruent.

4.  Hypothesis:  You are a Filipino.

    Conclusion:  You are a God-fearing person.

5.  Hypothesis:  You are a good citizen.

    Conclusion:  You will obey rules and regulations.

Step-by-step explanation:

In a statement, the Hypothesis is the part after the "if", and the Conclusion is the part after the "then".

1.  If Lola wants, then Lola gets.

Hypothesis:  Lola wants.Conclusion:  Lola gets.

2.  If the measure of an angle is 58°, then the angle is acute.

Hypothesis:  The measure of an angle is 58°.Conclusion:  The angle is acute.

3.  If the segments are diagonals of a rectangle, then the segments are congruent.

Hypothesis:  The segments are diagonals of a rectangleConclusion:  The segments are congruent.

4.  If you are a Filipino, then you are a God-fearing person.

Hypothesis:  You are a Filipino.Conclusion:  You are a God-fearing person.

5.  If you are a good citizen, then you will obey rules and regulations.

Hypothesis:  You are a good citizen.Conclusion:  You will obey rules and regulations.

How do the angles and sides of the outline correspond to the angles and sides of the original triangle?

Answers

The Angles and sides of the outline correspond to the angles and sides of the original triangle is done as below.

What are corresponding sides and angles?

Corresponding sides and angles are a pair of matching angles or sides that are in the same spot in two different shapes.

Given:

For Corresponding Angle

The same two angle pairs are touched by corresponding sides. When the sides are equivalent, you can multiply each side by the same value to move from one triangle to another. The corresponding sides of the triangles in the similar triangles diagram are the same colour.

Form Corresponding Side

If two triangles are similar and have sides A, B, C and a, b, c, respectively, then the pair of corresponding sides are proportional,

i.e., A : a = B : b = C : c.

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Is 10 an even number?

Answers

Yes, 10 is an even number because 10 is completely divisible by 2 that's why it is an even number.10 modulo 2 equals zero.

let's first try to understand what are numbers.

A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as "3," are written to represent numbers. A number system is a logical way of writing numbers that use digits or symbols to represent them. the system of numbers

a helpful collection of numbers

that reflects the number's algebraic and mathematical structure.

offers a common depiction.

Even numbers An even number is any number that can be divided by 2 precisely. The last digit of an even number is always one of the following: 0, 2, 4, 6, or 8. Even numbers can include 2, 4, 6, 8, 10, 12, and 14.

So 10 is an even number.

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Just look in the screenshot. :) And whoever helps me ty, the points will be 30!

Answers

The Triangle Similar to ΔABC is ΔDEF in which m <E = 80 and m <F = 35.

The Correct option is (A).

What is Angle Sum Property

According to the triangle's "angle sum property," a triangle's interior angles add up to 180°.

What is Similarity of Triangles?

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.

Given:

In  ABC, m<A= 65 and m<B= 80

Now, using Angle sum Property

m<A + m <B + m <C = 180

65+ 80 + m<C= 180

m <C = 180 - 145

m <C = 35

So, the similar Triangle will be  DEF in which m <E = 80 and m <F = 35.

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WHAT IS 10000-22 CAN ANYONE HELP

Answers

Answer:

9978

Step-by-step explanation:

10000 - 22 = 9978

9978 is the answer

Answer: 9978

Step-by-step explanation:

Stack the numbers up like this 10000

                                                          22

     borrow from the one make the zero a ten, and then borrow from that to make the next one and make it a nine and then do it to the last one and subtract. Hope this makes sense

What is a parent function example?

Answers

An example of a parent function is [tex]f(x) = x^{2}[/tex], which is the parent function to any quadratic equation.

The most basic form of a function is a parent function. Its essential shape is not changed in any manner. In mathematics, some graphs are frequently seen. Because of this, the graphs of quadratic functions, square roots, absolute values, cubics, and cube roots are among the original, widespread functions that are referred to as parent graphs.

For instance, you should still be able to identify the parabola that has undergone various transformations when you view a u-shaped graph that has been inverted and stretched vertically.

Here are a few examples to understand this concept further.

For a quadratic equation, the parent graph is [tex]f(x) = x^{2}[/tex], which is a parabola.For a cubic equation, the parent graph is [tex]f(x) = x^{3}[/tex].

Let us take [tex]f(x) = x^{2}[/tex], which is the parent equation of any quadratic equation. The graph of this parent function is a parabola, which is shown below.

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can anyone solve it use translation if found necessary.​

Answers

On solving the provided, we can say that - here in graphs by solving the equation - [tex]x^2 + y^2 = > 2^2 = > 4[/tex]

What is graphs?

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

here from graph,

x= 0

and y = 2

so, in equation

[tex]x^2 + y^2 \\2^2\\4\\[/tex]

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Ill MARK AS BRAINLIEST(show how you solved the 2 parts :>

Mrs Lim has sponsored a total of 105 hot dogs and 126 cans of fruit juice for the refreshment of a classic picnic. Each student will receive the same amount of refreshment.

a) what is the greatest number of students who will get the refreshment ?

b) how many hot dogs will each student get?
C) how many fruit juices wil each student get

Answers

a) The greatest number of students who will get the refreshment is 210.

b) Each student will get 0.5 hot dogs.

c) Each student will get 0.6 cans of fruit juice.

a) To find the greatest number of students who will get the refreshment , we need to find the least common multiple of hot dogs and fruit juice.

The least common multiple is 210, which is the multiple of 105, and 126 is the least.

So the greatest number of students who will get the refreshment is 210.

b) To find the number of hot dogs each student will receive, we need to divide the total number of hot dogs (105) by the greatest number of students who will get the refreshment (210)

105/210 = 0.5

So each student will get 0.5 hot dogs.

c) To find the number of fruit juices each student will receive, we need to divide the total number of fruit juice (126) by the greatest number of students who will get the refreshment (210)

126/210 = 0.6

So each student will get 0.6 cans of fruit juice.

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What is a perfect 1st interval?

Answers

A perfect interval which  identifies the distance between the first note of a major scale and given unison, 4th, 5th or either the  octave. Those given  intervals can be given in the extra theoretical  name as “perfect”.

Perfect intervals has only basic form. The first (also called prime or unison), fourth, fifth and eighth (or octave) are all known as  perfect intervals. These intervals are known as  "perfect" since  these types of intervals sound and they provide the certain frequency ratios which  are simple  as whole numbers. Perfect intervals sound "perfectly consonant" . that means  which are played together, there is a sweet tone to the interval. It sounds perfect or resolved. Whereas, a dissonant which sounds and  feels tense and in need of  their resolution.

Interval qualities are classified  as major, minor, harmonic, melodic, perfect, augmented, and diminished. since ,lower a perfect interval by a half step it becomes a  diminished and when it is raised it to  a half step it becomes augmented of an interval .

When it is in lower and provides  a major non-perfect interval a half step and it becomes a minor interval then if we raise it  to a half step it becomes augmented level then if we raise to  lower a minor interval by a half step it becomes diminished  level , then if we raise a minor level interval a half step it becomes a major level interval.

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The number of views on a viral video can be modeled by the function

G(t) = 2500(5) 2-4. Write an equivalent function of the form G(t) = ab.

Answers

The equivalent expression would be; function G(t) = 86,400•3^t

What is a function in simple definition?

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range.

The number of views on a viral video can be modeled by the function

G(t) = 2500(5) 2-4.

we have to find out an equivalent function of the form G(t) = ab.

Here, we want to make a transformation

From what we have;

G(t) = 2500(5)^(t - 4)

From indices, we know that;

x^(a + b) = x^a•x^b

Thus, we have it that;

G(t) = 2500•3^t•3^2

G(t) = (9 * 9600) * 3^t

G(t) = 86,400•3^t

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Explain at least two economic conditions or activities that led to the Great Depression and at least one condition or activity that worsened the effects of the Great Depression after the stock market crashed. As unwinding of the helix occurs during DNA replication, tension referred to as ________ is created ahead of the replication fork. This tension is relieved by the action of ________. Perry borrows $150 from his brother to fix his car. His brother doesn't like lending Perry money and so charges him 7% interest per month. a. Write a rule in the "y=..." form that will give the amount of money, y, Perry will owe his brother after n months, assuming that he doesn't make any payments. Drag each label to the correct location.Determine whether the description applies to landfills, incinerators, or both. What is the primary purpose of the Supremacy Clause answers com? The length of a rectangle is 4 feet more than twice the width. The perimeter is 116. Find the dimensions of the rectangle Which of the following is TRUE about the French Revolution?A. The French Revolution established stability and order throughout France.B. The French Revolution successfully established a democratic government with civility C. Although it at times was characterized by violence and bloodshed, overall, the French Revolution successfully established a new social order for France based on the principles of democracy.D. Although its goals were to establish a new social order for France based on the principles of democracy, in reality, the French Revolution was riddled with political instability and violence. Which table represents a function A certain statistic d is being used to estimate a population parameter D. The expected value of d is not equal to D. What property does d exhibit? The sampling distribution of dis normal. B The sampling distribution of d is binomial. The sampling distribution of dis uniform. d is unbiased. E d is biased ) If x, x+10 makes a right angle, find them. Students who attend Anytown College pay either in-state or out-of-state tuition, depending on where they reside. The mean and standard deviation of the sum, S, of tuition for a randomly selected pair of in-state and out-of-state students are S = $6,348. 75 and S = $1,508. 48. How can these values be interpreted? Check all that apply. The average of the sums of both types of tuitions would be $6,348. 75 for many, many randomly selected pairs of students. Students who pay both types of tuition will pay $6,348. 75 per semester. For a pair of randomly selected in- and out-of-state students, the sum of their tuitions is $6,348. 75. For a pair of randomly selected in- and out-of-state students, the sum of their tuitions typically varies from the mean of $6,348. 75 by about $1,508. 48. Students who pay both in- and out-of-state tuition should expect their cost to vary by about $1,508. 48 per semester What you have learned about the locations of internment camps? Which of the following should you NOT do when attempting to improve communication?Multiple Choicea. Occasionally nod in agreement.b. Close your eyes.c. Speak in a quiet, reassuring tone.d. Smile and show animation.e. Lean toward the speaker. Which equation obeys the law of conservation of mass? h2(g) o2(g) h2o(g) h2(g) o2(g) h2o(g) 4he(g) 2h2(g) o2(g) 2h2o(g) h2(g) h2o(g) h2(g) o2(g) 2h2o(g) 3. Given: ACANm/ATN= (4x + 18)Find: x so that AT is an altitudeN the u.s. army experimented with the use of lsd in the mid-twentieth century. true or false The intent of the offeror to extend a serious offer to the offeree is typically determined by reference to O A.The beliefs of the offeror. O B. The intentions of the offeror. O C. The assumptions of the offeror. O D. The words and conduct of the offeror. As part of an experiment to test different liquid fertilizers, a sprinkler has to be set to cover an area of 140 square yards in the shape of a sector of a circle of radius 50 yards. Through what angle should the sprinkler be set to rotate? If necessary, round the answer to two decimal places The proportional relationship between thenumber of inches a candle has burned away, b, atany time in hours, t, can be represented by theequation b = 0.75t. At what rate does thecandle burn, in inches per hour? Assume the following data for 120,000 units of a product that Spectacular Company expects to produce and sell during the current year: Manufacturing costs: Direct materials $1,200,000 Direct labor 3,000,000 Factory overhead: Variable costs $360,000 Fixed costs 150,000 510,000 Total manufacturing costs $4,710,000 Selling and administrative expenses: Variable expenses $360,000 Fixed costs 600,000 Total selling and administrative expenses 960,000 Total cost $5,670,000 Desired rate of return 23% Total assets $1,600,000 What will the normal selling price per unit be if calculated using the product cost concept