HELP ASAP!!!! 20 PTS

HELP ASAP!!!! 20 PTS

Answers

Answer 1
THATS EASY ITS   :   And now, the nations of the worldBrought to you by Yakko WarnerUnited States, Canada, Mexico, PanamaHaiti, Jamaica, PeruRepublic Dominican, Cuba, CaribbeanGreenland, El Salvador tooPuerto Rico, Colombia, Venezuela, Honduras, Guyana, and stillGuatemala, Bolivia, then ArgentinaAnd Ecuador, Chile, BrazilCosta Rica, Belize, NicaraguaBermuda, Bahamas, Tobago, San JuanParaguay, Uruguay, SurinamAnd French Guiana, Barbados, and GuamNorway, and Sweden, and Iceland, and FinlandAnd Germany, now in one pieceSwitzerland, Austria, CzechoslovakiaItaly, Turkey, and GreecePoland, Romania, Scotland, AlbaniaIreland, Russia, OmanBulgaria, Saudi Arabia, HungaryCyprus, Iraq, and IranThere's Syria, Lebanon, Israel, JordanBoth Yemen's, Kuwait, and BahrainThe Netherlands, Luxembourg, Belgium, and PortugalFrance, England, Denmark, and SpainIndia, Pakistan, Burma, AfghanistanThailand, Nepal, and BhutanKampuchea, Malaysia, then Bangladesh, AsiaAnd China, Korea, JapanMongolia, Laos, and Tibet, IndonesiaThe Philippine Islands, TaiwanSri Lanka, New Guinea, Sumatra, New ZealandThen Borneo, and VietnamTunisia, Morocco, Uganda, AngolaZimbabwe, Djibouti, BotswanaMozambique, Zambia, Swaziland, GambiaGuinea, Algeria, GhanaBurundi, Lesotho, and Malawi, TogoThe Spanish Sahara is goneNiger, Nigeria, Chad, and LiberiaEgypt, Benin, and GabonTanzania, Somalia, Kenya, and MaliSierra Leone, and AlgiersDahomey, Namibia, Senegal, LibyaCameroon, Congo, ZaireEthiopia, Guinea-Bissau, MadagascarRwanda, Mahore, and CaymanHong Kong, Abu Dhabi, Qatar, YugoslaviaCrete, Mauritania, then TransylvaniaMonaco, Liechtenstein, Malta, and PalestineFiji, Australia, Sudan

Related Questions

To prove that the triangles are similar by the SAS
similarity theorem, it needs to be shown that
Ozcazc
OC 2G
O AC-H
BC
O AC-BE
HI

Answers

It needs to be shown that <W = <H by the SAS congruent theorem

How to determine the additional information?

The question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

Triangles = IWO, and IHOGiven theorem = SAS

The SSS congruent theorem implies that the corresponding sides of the triangles in question and the angles between them are congruent

From the question, we can see that the following corresponding sides on the triangles have the same mark

W O and H O

AO and AO

This implies that these sides are congruent sides

For the triangle to be congruent by SAS, the following sides must also be congruent

Angle W must be congruent to Angle H

Hence, the additional info is <W = <H

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Complete question

To prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that____

Out of 400 plants sold daily at a nursery, 90% of them have flowers. How many of the plants have flowers?

Answers

Answer: 360 plants

Step-by-step explanation:

90% is equivalent to 0.90.
You multiply 0.90 and get your answer of 360.

calculate the p-value associated with the null hypothesis that 50% of the students at eastern work more than 10 hours a week.

Answers

The p-value associated with the null hypothesis = 0.05

Fail to reject the null hypothesis. The​ P-value is greater than the level of significance.

Candice should reject the null hypothesis as the 50% confidence interval does not contain 10 hours

Small p-values offer proof that the null hypothesis is false. The stronger the evidence is against the null hypothesis, the smaller (closer to 0) the p-value. The null hypothesis is rejected if the p-value is less than or equal to the chosen significance level; otherwise, it is not.

You have the Hypothesis that "students study less than 10 hours, on average, per week"

Symbolically:

H₀:μ≥10hours

H₁:μ<10hours

The significant level for this case study is 50% - 0.05. If the results gotten is less than the significance level, we reject the null hypothesis, but if greater, we fail to reject the null hypothesis.

The p-value of 0.05 is one of the most often used numbers. When the calculated p-values are less than 0.05, the faulty hypothesis is considered to be fraudulent or invalid (subsequently the name invalid theory). Additionally, the faulty theory is taken into consideration to be clear if the value is greater than 0.05.

The edge for that likelihood in our model is 0.05, and it represents the probability that our results will be similar to the invalid speculation. Therefore, if the calculated p-value is less than 0.05, it actually means that there is a very little likelihood that we would have the same results as the flawed hypothesis. Additionally, if the p-value is greater than 0.05, there is a very strong probability that the results will be similar to the flawed speculation, leading us to conclude that it is legitimate.

Therefore,

Fail to reject the null hypothesis. The​ P-value is greater than the level of significance.

The p-value associated with the null hypothesis = 0.05

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What is the length of segment AB? (4 points) A coordinate plane is shown. Point A is located at 0, 12, and point B is located at 5, 0. The two points are connected by a line segment. 10 12 13 15

Answers

The length of segment AB is 13 units.

What is the distance formula?

The distance between the two points (a,b) and (c,d) is given by:
[tex]d=\sqrt{(c-a)^2+(d-b)^2}[/tex].

The given coordinates of A  and B are A(0,12) and B(5,0).

The length of segment AB is given by:

[tex]AB = \sqrt{(5-0)^2 + (0 - 12)^2}\\\\AB=\sqrt{25 + 144}\\\\AB = \sqrt{169}\\\\AB = 13[/tex]

Hence, the length of segment AB is 13 units.

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what time will it be in 2 hours 30 minutes . if I went to work at 11:30 am and I clock out in 2 hours 30 minutes but what time will it be in 2 hours 30 minutes ​

Answers

Answer:

I'm pretty sure it would be 3:00

Step-by-step explanation:

I could be wrong tho-

chi-square tests are used for testing hypotheses of the association between two categorical values.
true
false

Answers

The given statement " chi-square tests are used for testing hypotheses of the association between two categorical values. " is true

The term chi square test defines if there is a significant relationship between two nominal variables.  

Here we have given the statement, chi-square tests are used for testing hypotheses of the association between two categorical values.

And we need to find whether the statement is true or not.

As per the definition of chi square test, we know that the frequency of each category for one nominal variable is compared across the categories of the second nominal variable.  

Here we also know that the data can be displayed in a contingency table where each row represents a category for one variable and each column represents a category for the other variable.  

Therefore, based on these facts the given statement is true.

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Which of these expense types and answers is true?

a. Fixed expenses - change each month

b. Periodic fixed expenses - are monthly expenses like your water bill and electric or gas bill.

c. Flexible expenses - monthly expenses whose cost is the same each month

d. Indebtedness expense - minimum monthly payments you make on your loans and credit cards

Answers

The expense type which is true is , indebtedness expense as because they are the  minimum monthly payments you make on your loans and credit card.

Being in debt to someone else or owing them money is the state of being indebted. A person who owes money has either borrowed money or obtained goods or services in exchange for a promise to repay the money.

Someone can owe money for both present-day obligations and obligations that they anticipate having in the future. For instance, the term "indebtedness" can relate to a person's mortgage or a car loan.

The majority of people cannot afford to buy a home or a car outright, thus they owe the bank the amount of the loan that was granted to them. When you use a credit card to make purchases like apparel or travel expenses, you become indebted. Being in debt is not the same as not making payments.

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A full pond containing 625 gallons of water begins losing its water at a rate of 20% per week. If the pond now contains 320 gallons of water, how many weeks has it been since the pond was at full capacity?

(Use the digits 0 – 9 to enter a number. Use a decimal point only if necessary.)

Answers

Using an exponential function to represent the exponential decay, it will take approximately 4 weeks to reach 320 gallons

Exponential Equation

An exponential function is a mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

To solve this problem, we have to write an exponential equation to calculate the exponential decay.

Data;

A = 320P = 625r = 20% = 0.2t = ?

A = P(1 + r)⁻ˣ

320 = 625(1 + 0.2)⁻ˣ

x = 3.67

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The results of a series of surveys revealed a population with a mean of 15 and a standard deviation of 1.88. If each survey has a sample size of 70, which value falls within the interval where 95% of the sample means occur?
A) 15.66
B) 15.49
C) 14.96
D) 14.34

Answers

If each survey has a sample size of 70, a value which falls within the interval where 95% of the sample means occur is: C) 14.96.

What is a confidence interval?

In this scenario, the confidence interval at 95% can be represented by this mathematical expression p - E < p < p + E

Based on the parameters provided, we would determine both the lower limit and upper limit for the interval where 95% of the sample means occur as follows;

Lower limit = 15 - 1.88/√70

Lower limit = 15 - 0.23

Lower limit = 14.77

For the upper limit, we have:

Upper limit = 15 + 1.88/√70

Upper limit = 15 + 0.23

Upper limit = 15.23

For 95% of the sample means to occur, the confidence interval is given by;

Confidence interval = (14.77, 15.23)

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A car wash makes $7 profit p per car, resulting in the equation of the total T; T = 7p. If the car wash made $147, how many cars were washed?

Answers

1 car = $7
T= $147

x * car = T
x * 7 = 147
x = 147/7
x = 21
There were 21 cars washed.

What is the equation for the graph shown?

Answers

The linear equation on the graph shown is:

y = (2/3)*x + 4

What is the equation on the graph?

We can see that we have a linear equation on the graph, remember that a general linear equation is:

y = a*x + b

Where a is the slope and b is the y-intercept.

On the graph, we can see that the line intercepts the y-axis at y = 4, then the y-intercept is b = 4

y = a*x + 4

To find the slope we can use another point on the line, for example, we can see that (-6, 0) is also on the line, replacing these values in the linear equation above we will get:

0 = a*-6 + 4

6a = 4

a = 4/6 = 2/3

Thus, the line is:

y = (2/3)*x + 4

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Solve for x . Round to the nearest tenth, if necessary.

Answers

Answer: 52.5°

Step-by-step explanation:

sin59 = 45/x

sin59(x) = 45

x = 45/sin59 = 52.5°

For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error ......... as the margin of error increases.
a. stays the same
b. increases
c. decreases

Answers

The minimum sample size needed to guarantee a given margin of error increases , the correct option is (b) .

What is Margin Of Error ?

The term margin of error is defined as an estimate of a small sample that is drawn from a relatively large population data.

the margin of error is usually governed by the parameters such as the standard deviation , sample size and desired confidence level.

to find missing term in the given statement , let us consider the values ,

where σ ⇒ Standard deviation for population

and m as "Margin of error"  and Z as "Empirical value of Z-score" at a given confidence level .

So , minimum sample size for given confidence level is given by

⇒ (Z×σ)²/m²

from above formula we can conclude that minimum sample size is directly related to population's standard deviation.

Therefore, the minimum sample size required would "increase" with the increase in population "standard deviation" .

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At the Wheatley School, the probability that a student takes Math 8 and Technology is 0.12. The probability the student takes Math 8 is 0.16. Find the probability that the student takes technology given that he is taking Math 8.

Answers

The probability that the student takes technology given that he is taking Math 8 is 0.075.

What is conditional probability?

Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

Here, we have

Given:

The probability that a student takes Technology and Math 8 is 0.012.

P(Technology and Math 8) = 0.012

The probability that a student takes Math 8 is 0.16.

P(Math 8) = 0.16

We have to find the probability that a student takes Technology given that the student is taking Math 8

we use conditional probability

P(Technology|Math 8) = P(Technology and Math 8)/P(Math 8)

P = 0.012/0.16

P = 0.075

Hence, the probability that the student takes technology given that he is taking Math 8 is 0.075.

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Josephine earns a salary of $560.00 per week, plus a commission of 10% on all sales. Last week, she sold $843 worth of goods. How much was she paid?

Answers

The amount that Josephine will be paid is $644.30.

How much was Josephine paid?

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred.

In this situation, Josephine earns a salary of $560.00 per week, plus a commission of 10% on all sales and she sold $843 worth of goods.

The amount she'll be paid will be:

= $560 + (10% × $843)

= $560 + $84.3

= $644.30

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Write the
equation
of the line In
Slope-Intercept
Form.
Type your
answer here.

Answers

The equation of line in slope intercept form is y = -1/3 x + 1.

What is equation of a line?

The set of points that make up a line in a coordinate system are represented algebraically by a line's equation. An equation of a line is an algebraic expression that represents the many points that together make up a line in the coordinate axis as a set of variables, x, and y. The slope of the line and a point on the line can be used to create the equation of a line.

The points on the line are (3,0) and (0,1).

The slope of a line that passes through the points (x₁, y₁) and (x₂, y₂) is (y₂ - y₁)/(x₂ - x₁).

The slope of line is (1 - 0)/(0 - 3) = -1/3.

The line cuts y-axis at (0,1). Thus y-intercept of the line is 1.

The slope-intercept form of the line is

y =  -1/3 x + 1

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Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula?

Quadratic formula: x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction

Answers

An expression which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula is: expression A. Therefore, the correct answer option is A.

What is a quadratic equation?

A quadratic equation can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph. In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

Mathematically, the quadratic formula is modeled or represented by this mathematical expression:

[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]

From the information provided, we have the following values;

0 = -3x² - 2x + 6

Where:

a = -3

b = -2

c = 6

Substituting the values into the quadratic formula, we have;

[tex]x = \frac{-(-2)\; \pm \;\sqrt{(-2)^2 - 4(-3)(6)}}{2(-3)}\\\\x = \frac{2\; \pm \;\sqrt{4^2 - 4(-3)(6)}}{2(-3)}[/tex]

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question in the image below!!!!!!

Answers

Part a: The significance of the piece-wise function is define.

Part b: r(t) be the total amount of snow in cubic ft. is calulated.

Part c: Total volume of the ice is not removed.

Define the term rate of change of volume?The term "rate of change" (ROC) describes the rate which something transforms over time.The indicator that demonstrates how much a volume tendency is developing either in the up or down direction is the volume rate of change.

For the given question, the rate function is given as;

f(t) = { 0, 0 ≤ t < 6 ,

       125, 6 ≤ t < 7

       108, 7 ≤ 9  }

Part a: The significance of the piece-wise function is-

f(t) = { 0, 0 ≤ t < 6 } define the volume of ice per hour accumulated  in between 0 to 6 hours is 0 cubic ft/hr.f(t) = {125, 6 ≤ t < 7 } define the volume of ice per hour accumulated  in between 6 to 7 hours is 125 cubic ft/hr.f(t) = { 108, 7 ≤ 9} define the volume of ice accumulated  per hour in between 7 to 7 hours is 108 cubic ft/hr.

 

Part b: r(t) be the total amount of snow in cubic ft.

r(t) = { 0, 0 ≤ r < 6 } define the volume of ice accumulated  in between 0 to 6 hours is 0 cubic ft: 0 cubic ft.f(t) = {125, 6 ≤ t < 7 } define the volume of ice accumulated  in between 6 to 7 hours is 125 cubic ft. is 62.5 cubic ftf(t) = { 108, 7 ≤ 9} define the volume of ice accumulated  in between 7 to 7 hours is 108 cubic ft. is 54 cubic ft.

Part c: total ice accumulated is;

62.5 ft + 54 ft. = 116.5 cubic ft.

Total volume of the ice accumulated = 367.5 cubic ft.

Thus, no total volume of the ice is not removed.

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Solve each system by elimination: 7x+3y=-1 4x+y=3

Answers

Using elimination method, the solution to the system of equation is as follows:

x = 2 and y = -5

How to solve system of equation?

System of equation can be solved using different method such as elimination method, substitution method and graphical method. Let's use elimination method to solve the system of equation as follows:

7x + 3y = - 1

4x + y = 3

multiply equation(ii) by 3

Hence,

7x + 3y = - 1

12x + 3y = 9

subtract equation(i) from equation(ii)

5x  = 10

x = 10 / 5

x = 2

Let's find y

7x + 3y = - 1

7(2) + 3y = -1

14 + 3y = -1

3y = -15

y = -15 / 3

y = -5

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What is the value of x?

Answers

Answer: 71

Step-by-step explanation:

Calculate c, ∠B, and ∠A based on given b, a, and ∠C.c = √b2 + a2 - 2ba·cos(C) = 13.67386∠B = arccos(c2 + a2 - b22ca)= 1.23918 rad = 71°∠A = arccos(c2 + b2 - a22cb)= 1.23918 rad = 71°

A regular polygon has its interior angles all equal to 171 Find the number of sides of the polygon.​

Answers

The measure of the interior angles of a polygon is determined by the formula ((n - 2)180)/n = interior angle

measure

please help need an answer ASAP!!!!!!!!!!!!

Answers

Answer:

1/9

Step-by-step explanation:

The y intercept of a line is when x = 0

y = 1/9

Answer:

y = 1/9

Step-by-step explanation:

y = -10x + 1/9

Substitute 0 for x

y = -10 x 0 +1/9

-10 x 0 = 0

y = 1/9

A shipping container is in the shape of a right rectangular prism with a length of 20 feet, a width of 8.5 feet, and a height of 8 feet. The container is filled with contents that weigh 0.25 pound per cubic foot. What is the weight of the contents in the container?


5440 pounds


1360 pounds


240 pounds


340 pounds

Answers

The weight of the contents in the container is 340 pounds

How to calculate the weight of the contents in the container ?

The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed numerically in a variety of imperial or US-standard units as well as SI-derived units. Volume and the definition of length are related.

Given ,

volume of container = 20 x 8.5 x 8= 1360 cubic feet

weight = 0.25 pounds per cubic foot

0.25 x 1360 = 340 pounds

Therefore the weight of the contents in the container is 340 pounds

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For this function, what is the average rate of change over the interval 3.5 ≤ x ≤ 4?

Answers

The average rate of change for 3.5 ≤ x ≤ 4 is 2[f(4) - f(3.5)]

What is Average rate of change?

It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.

given:

Interval: 3.5 ≤ x ≤ 4

Now, For average rate

= [f(4) - f(3.5)]/(4 - 3.5)

= 2[f(4) - f(3.5)]

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a linear function has slope of -5/3. What does the slope tell us about the graph of the function

Answers

Answer:

Step-by-step explanation:

The slope of a linear function is a measure of the rate at which the value of the function changes as the input (x) changes. A slope of -5/3 means that for every 3 units of change in the input, the output (y) changes by -5 units.

In general, a negative slope indicates that the graph of the function is decreasing. As the input increases, the output decreases. A slope of -5/3 is a relatively steep negative slope, which means that the graph of the function will have a steep downward slope.

A slope of -5/3 also tells us that the function is not a horizontal line. A horizontal line has a slope of 0, which means that the output does not change as the input changes. A slope of -5/3 is not equal to 0, which means that the function is not a horizontal line.

Overall, the slope of a linear function tells us about the direction and steepness of the graph of the function. A slope of -5/3 indicates that the graph of the function is decreasing and relatively steep.

Help guysss happy holidays

Answers

The Type of taxation system in this table represent is Option C Regressive Tax.

What is Taxation System?

Taxation System is an obligatory fee or financial charge is referred to as a tax when it is imposed by a government on a person or an organisation in order to raise money for public projects that fund the greatest services and infrastructure. Various public spending programmes are then funded with the money that was gathered.

Type of Taxation

There are mainly four types of Taxes, these are Regressive, progressive, Indirect, and Proportional. In the given question the Regressive Taxation system is represented.

A Regressive Taxation system is one where Companies which have lower income have higher tax rate in comparison to big companies. In the given question the company which have lowest income is giving 15% of total income, while the largest company is giving 10% of their income.

Therefore, taxation system in this table represent is Option C Regressive Tax.

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find a equation line perpendicular to y-8=-2x that passes through the point (8,-5)

Answers

Answer:

Step-by-step explanation:

y = -2x + 8

perp.: 1/2

y + 5 = 1/2(x - 8)

y + 5 = 1/2x - 4

y = 1/2x - 9

which is more likely rolling a total of 8 when two dice are rolled or rolling a total of 8 when thre dices are roled

Answers

Answer: Two dice

Step-by-step explanation:

For the two dice, there are 5 possible: (6, 2);(5, 3);(4, 4);(3, 5);(2, 6)

So two dice, the probability is 5/36 = 30/216

For three dice, the number of favorable cases is 21

The probability is 21/216

So the two dice are more likely

1. (*) Tres amigos, Alex, Beto y Valentín, van al cine y se sientan en una fila de tres asientos contiguos vacíos. Si se sabe que:
• Alex se sienta adyacente a Beto y Valentín.
• Valentín se sienta a la derecha de Beto.
¿Cuál es el orden en que se sientan dichos amigos, empezando de izquierda a derecha?
Beto, Alex, Valentín
O Valentín, Beto, Alex
Valentín, Alex, Beto
O Alex, Valentín, Beto

Answers

By using the concept of arrangement, it can be concluded that-

The correct order is Beto, Alex, Valentin

What is arrangement?

The act of arranging people and things towards a certain goal is referred to as arrangement. the arrangement or arrangement of details in a written work. Readers to whom a piece of writing is addressed; those who read or hear what you have written.

Why is writing arrangement crucial?

Your reader could feel disoriented and lose interest if there is no obvious organizational structure. Your essay's organization will aid readers in making connections between the essay's body and thesis, as well as help you stay on task as you plan and compose the essay.

It is known that:

• Alex sits next to Beto and Valentin.

• Valentin sits to the right of Beto.

So the correct order is Beto, Alex, Valentin

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∠ABC and ∠KLC form a linear pair with m∠ABC = 74° and m∠KLC = x°.

Answers

Answer:

106

Step-by-step explanation:

A linear pair adds to 180

180 - 74 = 106

Other Questions
why is the Indian Caste system and the Castas Social Structure of Latin America. social psychologists have proposed that aggression is caused by biological influences, frustration, and____behavior. What is the numerator of the simplified sum?StartFraction x Over x squared + 3 x + 2 EndFraction + StartFraction 3 Over x + 1 EndFraction 3(4.1x-3.9y)-5= (Simplify your answer. Use integers or decimals for any numbers in the expression.) What are the other two factors of this polynomial x^3-4x^2-17x+60x-3 Help pls. When the United States was founded, not all citizens had the right to vote in elections. Explain which groups originally had the right to vote and which groups did not 12. What was a result of the invention of the cotton gin?Increase in world demand for cottonIncrease in the need for slavesCotton became the foundation of the southern economyAll the above The most common clefs for high notes are what? soprano treble bass alto a client is seeking advice for his pregnant wife who is experiencing mild elevations in blood pressure. in which position should a nurse recommend the pregnant client rest? Give a scenario where choosing a large file system block size might be a benefit; give an example where it might be a hindrance. Which efferent pathway has a single nerve fiber extending from the cns to effector?. What are the values of self-exploration? Railroads were slow in coming to Texas because a. steam locomotives frightened horses. b. war with American Indians made it dangerous to lay track. c. of difficulty in raising the money to build them. d. steamboats were much more efficient. We can reduce the margin of error in an interval estimate of p by doing any of the following except: a. reducing the confidence coefficient. b. increasing the planning value p* to .5. c. increasing the level of significance. d. increasing the sample size. a bank has a 10 percent reserve requirement, $36,000 in loans, and has loaned out all it can, given the reserve requirement. The offspring of two true-breeding parents that differ in a single character are called single-character hybrids, or. This question is based on a time when people needed to log in to email servers to write emails. Assume that Adam logs in to an email server at time zero. He then spends his time exclusively on writing emails. The times that his emails are sent can be modeled by a Poisson process with a rate A/hour. His friend Brianna also logs in to the server at time 1 (which means 1 hour later) and starts typing emails independently of Adam. The time that her emails are sent also can be modeled by a Poisson process with a rate B/hour. (a) (6 points) LetY 1, andY 2be the times at which Adam's first and second emails were sent. FindE[Y 2Y 1](b) (8 points) Similar to the last question, letY 1andY 2be the times at which Adam's first and second emails were sent. When Brianna logs in to the server, you are told that Adam has sent exactly one email so far. (b.1) (4 points) What is the conditional expectation ofY 1given this information? (b.2) (4 points) What is the conditional expectation ofY 2given this information? (c) (8 points) Find out the PMF of the total number of emails sent by two of them together during the interval of[0,2](which means in the first two hours). (d) (8 points) Given that a total of 10 emails were sent during the period of[0,2](the first two hours), what is the probability that exactly four emails were sent by Adam? (e) (10 points) Suppose that A=4. Use Chebyshev's (4 points) and Markov's (4 points) inequality to find upper bounds on the probability that Adam sent at least five emails during the time interval [0, 1 ]. Which one provides a better bound ( 2 points)? sin 0 = 5/13 find tan 0 A 13/12 B 12/5 C 5/12 D 12/13 Witch statement describes the term economics To ensure that the group can control their members' behavior and channel them in the direction of high performance and group goal accomplishment, the group should require ________.a. devianceb. conformityc. dispositional attributiond. groupthink