Mathematics College

An instructor has given a short quiz consisting of two parts. for a randomly selected student, let x = the number of points earned on the first part and y = the number of points earned on the second part. suppose that the joint pmf of x and y is given in the accompanying table. y p(x, y) 0 5 10 15 x 0 0.02 0.06 0.02 0.10 5 0.04 0.13 0.20 0.10 10 0.01 0.15 0.16 0.01 (a) if the score recorded in the grade book is the total number of points earned on the two parts, what is the expected recorded score e(x + y)? (enter your answer to one decimal place.) (b) if the maximum of the two scores is recorded, what is the expected recorded score? (enter your answer to two decimal places.)

Answers

Answer 1

The expected recorded score when the total number of points earned on the two parts is recorded is 20.4.

The expected recorded score when the maximum of the two scores is recorded is 25.7.

We have,

(a)

If the score recorded in the grade book is the total number of points earned on the two parts (x + y):

We will calculate the expected value (E) using the joint probability mass function (pmf) values given in the table.

E(x + y) = Σ[(x + y) * p(x, y)]

Using the table values:

E(x + y) = (0 * 0.02) + (5 * 0.06) + (10 * 0.02) + (15 * 0.10) + (20 * 0.04) + (25 * 0.13) + (30 * 0.20) + (35 * 0.10) + (40 * 0.01) + (45 * 0.15) + (50 * 0.16) + (55 * 0.01)

E(x + y) = 20.4

(b)

If the maximum of the two scores is recorded:

We need to find the maximum value between x and y for each combination of scores in the table and calculate the expected value using the joint pmf.

E(max(x, y)) = Σ[max(x, y) * p(x, y)]

Using the table values:

E(max(x, y)) = (0 * 0.02) + (5 * 0.06) + (10 * 0.15) + (15 * 0.20) + (20 * 0.20) + (25 * 0.15) + (30 * 0.15) + (35 * 0.15) + (40 * 0.16) + (45 * 0.16) + (50 * 0.16) + (55 * 0.01)

E(max(x, y)) = 25.7

Therefore,

The expected recorded score when the total number of points earned on the two parts is recorded is 20.4.

The expected recorded score when the maximum of the two scores is recorded is 25.7.

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Answer 2
Final answer:

The expected recorded score in the grade book (E(X+Y)) is calculated by multiplying each possible total score by its probability and summing these products. The expected maximum score is calculated similarly, but considers the probabilities of each possible maximum score. Application of these principles requires access to full probability mass function data.

Explanation:

The student's question relates to the calculation of expected values in the context of a two-part quiz, with scores registered as the total (x+y) or the maximum of the two scores. Given a joint probability mass function (pmf) for x and y, we can calculate expected scores in both cases.

Generally, the expected value E(X) of a discrete random variable X is calculated by multiplying each possible value of X by its probability, and then summing these products. This is represented by the formula E(X) = Σ xP(x). Assuming the same logic for the expected total score on the quiz, E(X+Y) would be calculated by summing the products of each possible total score and its probability.

To find the expected maximum score, we'd perform a similar calculation, but consider the probabilities of each possible maximum score instead.

Without explicit probabilities in the question, no exact solutions can be provided. However, the processes outlined here would allow the student to solve such problems with access to the full pmf data.

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Related Questions

A line passes through (2, −1) and (4, 5).

Which answer is the equation of the line?

Answers

y= 3x - 7
subract 5 by -1 which is 6 and divide that by 4-2 which is 2 so 6 divided by 2 is 3. then subtract the y value by 6  to get 0,-7

PLS HELP! 20 POINTS AND BRAINLIEST!
25 POINTS!!!!!
In the figure below, lines m and n are parallel:

Two parallel lines are shown crossed by a transversal. The angles are labeled with number 1-8. The angles on line m where the line is crossed by the transversal are 1, 2, 3, and 4 in clockwise order from top left. The angles on line n where the line is crossed by the transversal are 5, 6, 7, and 8 in clockwise order from top left.

In the diagram shown, ∠7 measures 92 degrees. What is the measure of ∠8?

8 degrees
88 degrees
92 degrees
180 degrees

Answers

7 and 8 have to equal 180 degrees

180- 92 = 88

 so angle 8 is 88 degrees

Answer:

The correct option is B) 88°.

Step-by-step explanation:

Consider the provided information.

Consider the figure 1,

m∠7=92°, then by using the property of liner pair angles, we have

m∠7 + m∠8 = 180° (Liner pair angles)

⇒m∠8 + 92° = 180°

⇒m∠8 = 180 - 92

⇒m∠8 = 88°

Therefore, the measure of m∠8 is 88°.

Hence, the correct option is B) 88°.

What does n equal in: -6(n+1) = 42 . Need help quickly. Thank you!

Answers

It is -7.83 because you distribute the -6 to the n and the 1 inside the parentheses which makes you get -6n-5=42. Since 5 is negative you add it to -5 and the 42 on the other side of the equation which turns out to -6n=47. You then divide -6 on both sides of the equation. -6n divided by -6 cancels out so 47 divided by -6 equals -7.83333333 which rounds to -7.8

Complete te pattern 3,400,000 34,000

Answers

340 is the next number
3,400,000 34,000  340 is your next one


340 and 0.034 should be your answer

hope this helps

What is the difference of (4-5y)-2(3.5y-8)?

Answers

20 - 12y Simplify parentheses: 4 - 5y - 7y + 16 Combine similar terms: 4 + 16 - 5y - 7y Simplify: 20 - 12y

A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of π.)



452.16 cm3

840.54 cm3

1,055.04 cm3

1,456.96 cm3

Answers

Given:
Cylinder: height = 16 cm ; radius = 5 cm
cone: height = 12 cm ; radius = 4 cm

Volume of cylinder = 3.14 * (5cm)² * 16cm = 1,256 cm³
Volume of cone = 3.14 * (4cm)² * 12cm/3 = 200.96 cm³

Volume of air space = 1256 cm³ - 200.96 cm³ = 1,055.04 cm³ 
Cylinder: height = 16 cm ; radius = 5 cm
cone: height = 12 cm ; radius = 4 cm

Volume of cylinder = 3.14 * (5cm)² * 16cm = 1,256 cm³
Volume of cone = 3.14 * (4cm)² * 12cm/3 = 200.96 cm³

Volume of air space = 1256 cm³ - 200.96 cm³ = 1,055.04 cm³ 

In an eye color study, 25 out of 50 people in the sample had brown eyes. in this situation, what does the number .50 represent?

Answers

The total number of people in this expermiment.
Final answer:

The number .50 in the context of this question represents the proportion (or probability) of people in the sample who have brown eyes. It's calculated by dividing the count of individuals with brown eyes by the total number of individuals in the sample.

Explanation:

In this context, the number .50 represents the proportion or probability of people with brown eyes in the sample. This number is obtained by dividing the number of people with brown eyes (25) by the total number of people in the sample (50).

Hence, .50 means there is a 50% chance that a randomly selected person from the sample will have brown eyes. This is often used in the field of statistics where proportions are utilized to represent probabilities of outcomes.

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How would you write 1+1 in distributive property

Answers

You would put it in as 1(1x1) 

Hope this helps

The number of seats in the first row of a concert hall is 6. The second row has 9seats, the third row has 12 seats, and the fourth row has 15 seats. How many seats are in the eighth row?

Answers

Row eight would have 27 seats because each row adds 3 seats.

What is the greatest common factor of 49 and 84? 3 4 7 9

Answers

49: 1 7, 49
84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The GCF is 7
The answer is 7 since neither 49 nor 84 are divisible by 9

The sum of two integers is greater than 12. One integer is 10 less than the other. What are the values of the integers?

Answers

Let's set up an equation:

x plus y is greater than 12

x + y > 12

One of the integers is ten less than twice the other one

x = 2y -10

Time to start solving:

(2y-10) + y > 12
2y + y > 12 + 10
3y > 22 
3y=24
y=8

Now its time to find the value of x:

x=2(8) - 10
x=16-10
x= 6

6 + 8 > 12, 6+8 is greater than twelve.

In conclusion we can wrap up that 6 and 8 are the least value integers.

At the beginning of a basketball season, the Panthers won 30 games out of 66 games. At this rate, how many games will they win in a normal 106-game season?

Answers

You would divide 66 by 30 which give you 2.2. Then you divide 106 by 2.2 which gives you an anwser of 48 games

a girl is the same age if she takes 3/4 of her age +9 or 1/4 +21. what is her age?

Answers

let's say she's "x" years old.

[tex]\bf \stackrel{her~age}{\cfrac{3x}{4}+9}~~=~~\stackrel{her~age}{\cfrac{x}{4}+21}\impliedby \textit{now, let's multiply both sides by }\stackrel{LCD}{4} \\\\\\ \boxed{4}\cdot \cfrac{3x}{4}+\boxed{4}\cdot 9~~=~~\boxed{4}\cdot \cfrac{x}{4}+\boxed{4}\cdot 21\implies 3x+36=x+84 \\\\\\ 2x=48\implies x=\cfrac{48}{2}\implies x=24[/tex]

Joanne has 2a^3 number of animals. Ronnie has 3a^3 number of animals . Odessa has a^4 number of animals . How many animals do Joanne , Ronnie, and Odessa have altogether?

Answers

They have:

2a^3 + 3a^3 + a^4
= 5a^3 + a^4

What is the equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10?

Answers

A quick way to solve this problem involves copying the given equation:

2x + 5y = 10

dropping the final 10, and
substituting the given x and y values:  (5, -4).  

Then:

2(5) + 5(-4) = C           C = 10-20 = -10

Thus, the equation of this new, parallel line is 2x + 5y = -10.

The equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10 is y = (-2/5)x - 2

The equation of a straight line is given by:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

The slope of the line 2x + 5y = 10 is:

2x + 5y = 10

5y = -2x + 10

y = -2/5x + 10

Hence the slope of the line 2x + 5y = 10 is -2/5

Since both lines are parallel, hence the slope of the other line is the same (-2/5). Hence the equation of the line is:

[tex]y-y_1=m(x-x_1)\\\\y-(-4)=-\frac{2}{5} (x-5)\\\\y+4=-\frac{2}{5} x+2\\\\y=-\frac{2}{5} x-2[/tex]

The equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10 is y = (-2/5)x - 2

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how do you solve the following
6/13=3/c

Answers

Okay. This is set up as a proportion. What we do in this situation is cross multiply. When you do that, you get 6c = 39. Next, divide each side by 6 to isolate the c. 39/6 is 6.5. c = 6.5.

what is an angle between a side of a polygon and the extension of its adjacent side

Answers

i would say that the angle would be an exterior angle because it's usually between the side of the polygon connected by a line as an extension of the adjacent side. 

here's an example. hope it helps!

The angle between a side of a polygon and the extension of its adjacent side is the exterior angle at that vertex, forming a linear pair with the adjacent interior angle.

Angle between a side of a polygon and the extension of its adjacent side: When considering a polygon, the angle between a side and the extension of its adjacent side is equal to the exterior angle of the polygon at that vertex. This angle forms a linear pair with the adjacent interior angle of the polygon.

20. What percent of 392 is 98? 22. 33% of what number is 145? 24, 17 is 40% of what number?

Answers

20)

if we take 392 to be the 100%, what is 98 off of it in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 392&100\\ 98&p \end{array}\implies \cfrac{392}{98}=\cfrac{100}{p}\implies p=\cfrac{98\cdot 100}{392}[/tex]

22)

let's say is "x", so if "x" is the 100%, and we know that 145 is the 33%, what the dickens is "x"?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ x&100\\ 145&33 \end{array}\implies \cfrac{x}{145}=\cfrac{100}{33}\implies x=\cfrac{145\cdot 100}{33}[/tex]

24)

again, if we take "x" to be the 100%, and we know that 17 is 40%, what is "x"?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ x&100\\ 17&40 \end{array}\implies \cfrac{x}{17}=\cfrac{100}{40}\implies x=\cfrac{17\cdot 100}{40}[/tex]

Find the unit rate,Kenny reads 5/8 pages in 2/3 minute.Please show your work.

Answers

Unit rate in this case would be pages per minute so divide (5/8)pages÷(2/3)minute.
Dividing a fraction can be done as multiplying by the reciprocal.
(5/8)·(3/2)=15/16pages per minute or 0.9375 pages/min.

Find the critical points of the function. (enter your answers as a comma-separated list.) g(x) = 4 − x2

Answers

Please use "^" to denote exponentiation:  g(x) = 4 - x^2.

To find the critical point, differentiate g(x), set the result = to 0, and solve for x:

g '(x) = -2x = 0.  Then x = 0 is the only critical value in this case.

The graph of g(x) is a vertical parabola opening down, and the horizontal tangent line is y = 4.

Mr. Thomas purchased a car for $30,000. in 4 years the value of the car decreased to $22,000. Which integer represents the average net change in value per year?

Answers

The change in value over 4 years is
  $22,000 - 30,000 = -$8,000

so the average change in value per year is
  -8000/4 = -2000

Mr.chu is slicing 4 cantaloupes for his class.There are 24 students in class. If Me.Chu cut the cantaloupes to make an equal portion for each student , how much of a whole cantaloupe will each student get?

Answers

1/6 because 4/24 = 1/6
Final answer:

Each student will receive approximately 0.1667 parts of a whole cantaloupe when Mr. Chu evenly divides 4 cantaloupes among 24 students.

Explanation:

The subject of this problem is how to divide a quantity fairly between multiple recipients, also known as division. If Mr. Chu is slicing 4 cantaloupes and wants to divide them equally among 24 students, we need to find how much each student would receive.

This is solved by simply dividing the total quantity of cantaloupes by the number of students. So, 4 (whole cantaloupes) divided by 24 (students) equals 0.1667.

Therefore, each student will get approximately 0.1667 of a whole cantaloupe.

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What is the smallest natural number that has three distinct prime factors in its factorization?

Answers

It's 30. It's primary factors are : 2,3 and 5.

Evaluate the expression below when x = -2. x2 − 8 x + 6

Answers

Solve for x over the real numbers:x = -2. x^2 - 8 x + 6
Hint: | Rewrite the right hand side of the equation.-2. x^2 - 8 x + 6 = -2 x^2 - 8 x + 6:x = -2 x^2 - 8 x + 6
Hint: | Move everything to the left hand side.Subtract -2 x^2 - 8 x + 6 from both sides:2 x^2 + 9 x - 6 = 0
Hint: | Write the quadratic equation in standard form.Divide both sides by 2:x^2 + (9 x)/2 - 3 = 0
Hint: | Solve the quadratic equation by completing the square.Add 3 to both sides:x^2 + (9 x)/2 = 3
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.Add 81/16 to both sides:x^2 + (9 x)/2 + 81/16 = 129/16
Hint: | Factor the left hand side.Write the left hand side as a square:(x + 9/4)^2 = 129/16
Hint: | Eliminate the exponent on the left hand side.Take the square root of both sides:x + 9/4 = sqrt(129)/4 or x + 9/4 = -sqrt(129)/4
Hint: | Look at the first equation: Solve for x.Subtract 9/4 from both sides:x = sqrt(129)/4 - 9/4 or x + 9/4 = -sqrt(129)/4
Hint: | Look at the second equation: Solve for x.Subtract 9/4 from both sides:Answer:  x = sqrt(129)/4 - 9/4 or x = -9/4 - sqrt(129)/4
(-2)²-8(-2)+6=4+16+6=26.

Q equal 1/2 p plus 15 solve for p

Answers

If Q=(1/2)(P)+15, we can multiply both sides by 2 to get 2Q=2(P/2+15)=P+30. Next, we can subtract 30 from both sides to get 2Q-30=P

How l can write a brief summary about measurement for 3rd grade

Answers

The topic "measurement" is very, very broad.
You'd be best off by limiting your scope to a couple of familiar situations:

Weighing a piece of chocolate

Having your height and weight measured by the school nurse

Counting the number of coins in your pocket

Getting a rough measure of how well you have learned new material by checking how many questions you got right out of the whole test.



Based upon a long period of record keeping the following represents the probability distribution of the number of times the John Jay wifi network is slow during a week. We call the random variable x.

x 0 1 2 3 4 5 6
p(x) .08 .17 .21 k .21 k .13

a. What is the value of k?

b. Calculate the expected value of x.

c. Calculate the expected value of x^2
.

d. Calculate the variance of x.

e. Calculate the standard deviation of x

f. Calculate the variance of 3x.

g. Suppose that network slowness is independent from week to week. What is the probability that if we look at 5 separate weeks, the network has no more than 4 slow times in any of those weeks?

h. Calculate the variance of the random variable x^2

Answers

Given a table representing the probability distribution of the number of times the John Jay wifi network is slow during a week. We call the random variable x.

[tex]\begin{tabular} {|c|c|c|c|c|c|c|c|} x&0&1&2&3&4&5&6\\[1ex] p(x)&.08&.17& .21& k& .21& k& .13 \end{tabular}[/tex]



Part A:

The total value of p(x) = 1.

Thus,

.08 + .17 + .21 + k + .21 + k + .13 = 1

0.8 + 2k = 1

2k = 1 - 0.8 = 0.2

k = 0.2 / 2 = 0.1

Therefore, the value of k is 0.1



Part B:

The expected value of x is given by

[tex]E(x)=\Sigma xp(x) \\ \\ =0(0.08)+1(0.17)+2(0.21)+3(0.1)+4(0.21)+5(0.1)+6(0.13) \\ \\ =0+0.17+0.42+0.3+0.84+0.5+0.78=3.01[/tex]

Therefore, the expected value of x is 3.01



Part C:

The expected value of [tex]x^2[/tex] is given by

[tex]E(x^2)=\Sigma x^2p(x) \\ \\ =0^2(0.08)+1^2(0.17)+2^2(0.21)+3^2(0.1)+4^2(0.21)+5^2(0.1)+6^2(0.13) \\ \\ =0(0.08)+1(0.17)+4(0.21)+9(0.1)+16(0.21)+25(0.1)+36(0.13) \\ \\ =0+0.17+0.84+0.9+3.36+2.5+4.68=12.45[/tex]

Therefore, the expected value of [tex]\bold{x^2} [/tex] is 12.45



Part D:

The variance of x is given by

[tex]Var(x)=E(x^2)-(E(x))^2 \\ \\ =12.45 - (3.01)^2=12.45-9.06 \\ \\ =3.39[/tex]

Therefore, the variance of x is 3.39.



Part E

The standard deviation of x is given by

[tex] \sqrt{Var(x)} = \sqrt{3.39} =1.84[/tex]

Therefore, the standard deviation of x is 1.84.



Part F:

The variance of ax, where a is a constant is given by

[tex]Var(aX)=a^2Var(X)[/tex]

Thus, the variance of 3x is given by

[tex]Var(3X)=3^2Var(X)=9(3.39)=30.51[/tex]

Therefore, the variance of 3x is 30.51.



Part G:

The probability that the network has no more that 4 slow times in one week is given by

[tex]P(x\leq4)=P(0)+P(1)+P(2)+P(3)+P(4) \\ \\ =0.08+0.17+0.21+0.1+0.21=0.77[/tex]

Since, the network slowness is independent from week to week, the probability that if we look at 5 separate weeks, the network has no more than 4 slow times in any of those weeks is given by

[tex](0.77)^5=0.27[/tex]

Therefore, the probability that if we look at 5 separate weeks, the network has no more than 4 slow times in any of those weeks is 0.27



Part H:

The variance of x^2 is given by

[tex]Var(x^2)=E((x^2)^2)-(E(x^2))^2=E(x^4)-(E(x^2))^2[/tex]

[tex]E(x^4)=\Sigma x^4p(x) \\ \\ =0^4(0.08)+1^4(0.17)+2^4(0.21)+3^4(0.1)+4^4(0.21)+5^4(0.1) \\ +6^4(0.13) \\ \\ =0(0.08)+1(0.17)+16(0.21)+81(0.1)+256(0.21)+625(0.1)\\+1,296(0.13) \\ \\ =0+0.17+3.36+8.1+53.76+62.5+168.48=296.37[/tex]

Thus,

[tex]Var(x^2)=296.37-(12.45)^2=296.37-155.00=141.37[/tex]

Therefore, the variance of the random variable [tex]\bold{x^2}[/tex] is 141.37

Answer:.1

Step-by-step explanation:

Suppose that 21 girls and 21 boys enter a mathemat- ics competition. furthermore, suppose that each entrant solves at most six questions, and for every boy-girl pair, there is at least one question that they both solved. show that there is a question that was solved by at least three girls and at least three boys.

Answers

Individuals shall draw a table consisting of 21 boys in each column and 21 girls in each row as shown on the image below.

The table will have 21x21 = 441 boxes. Mark each box with a letter showing the problem solved by both that boy and girl. Since at least one problem was solved by a girl and a boy, therefore each box will have a letter. Each entrant solved at most six questions, so there can be at most six letters in any row or column. This means six different letters can be there in a row only if at least 11 of the boxes contain letters appearing three or more times in the row. Individuals go through each row and color all the boxes, say blue. Therefore, 11 boxes in each row must be colored blue.

The number of the boxes that must be colored blue = 21 x 11 = 231. Individuals can apply the same process to the columns and color at least 231 boxes, say green. But the total boxes are 441 only. Therefore, by Pigeonhole principle, there will be some boxes which will be both blue and green. The problem of doubly colored boxes represents a problem solved by at least three boys and three girls.

 

The Pigeonhole Principle is used to show that there must be a question solved by at least three girls and three boys in a math competition with 21 girls and 21 boys.

To show that there is a question solved by at least three girls and three boys, we will use the Pigeonhole Principle.

We have 21 girls and 21 boys, each solving at most six questions.Let's assume no question is solved by at least three girls and three boys.The total number of questions solved would be at most 21 x 6 = 126, which is fewer than 21 x 2 + 21 x 2 = 84, a contradiction.Therefore, there must be a question solved by at least three girls and three boys.

There are 9 red and 6 green marbles in a bag. A child reaches in the bag and randomly takes one marble. What is the probability pf that child getting a green marble

Answers

 2/5
The probability is the green over the total

Answer:  The required probability that the child took a green marble is 40%.

Step-by-step explanation:  Given that there are 9 red and 6 green marbles in a bag and a child reaches in the bag and randomly takes one marble.

We are to find the probability that the child took a green marble.

Let S denote the sample space of choosing a marble from the bag and A be the event of choosing a green marble.

Then,

n(S) = 9 + 6 = 15   and   n(A) = 6.

Therefore, the probability of event A will be

[tex]P(A)=\dfrac{n(A)}{n(S)}=\dfrac{6}{15}=\dfrac{2}{5}\times 100\%=40\%.[/tex]

Thus, the required probability that the child took a green marble is 40%.

in a student council election Martha and Hillary received a total of 1600 votes, Martha received 81 more votes than Hillary, how many votes did Martha receive

Answers

total of  votes: 1600-> this means votes for Martha plus the votes for Hillary

If we divide 1600 by 2 people, this leaves 800 votes for each girl.

800-81=719 for Hillary    
800+81=881 for Martha

We take 81 votes, from those 800,and place them in martha's votes

Just to confirm: 881+719=1600 total votes
Other Questions
Starting from rest, a solid sphere rolls without slipping down an incline plane. at the bottom of the incline, what does the angular velocity of the sphere depend upon? check all that apply. check all that apply. the angular velocity depends upon the length of the incline. the angular velocity depends upon the mass of the sphere. the angular velocity depends upon the radius of the sphere. the angular velocity depends upon the height of the incline are the properties of sodium and chlorine the same as sodium chloride Why do you think Poe named his character Fortunato? A.randomly chosenB.reminds him of his fatherC.named after the mayorD.sounds like "fortunate"E.named after a famous politician approximately _____% of the available energy is passed from organisms at one trophic level. to organisms at the next trophic level. The measure of the exterior angle at one base angle of an isosceles triangle is 125 degrees. what is the measure of the vertex angle in degree the measure of the exterior angle at one base angle of an isosceles triangle is 125 degrees. what is the measure of the vertex angle in degrees Dorek is failing in school, and scores well below grade-level on achievement tests. when he takes the wechsler intelligence scale for children (wisc), his intelligence quotient (iq) score is 110. dorek is classified as: When can the government take private property and what must government give the owners? which amendment established this? Thick, spongy mats of low-growing plants, primarily grasses, mosses, and lichens, are typical of the ____. select one: Lacoste is widely known for its cotton knit shirts. it is perceived to be of superior quality, garners a certain status among its users, and therefore command a premium price. lacoste therefore has ______________. what can u conclude about the seven cities of gold BE Move with the times with cheer that styles, Yield not the sad when things turn rough. Play with bold chimes to cast sound smiles, Live poise most glad in moments tough; Ascend with grace in dreamy daze, Charm knows a surge of primal haste; Intuit deep space beyond mere craze, Dance that clear urge of lovely taste. Feel how you feel when pain brings tears, Instruct your heart with passage bold; Etch craft that heals to purge all fear, Stretch precious start as joy takes hold; Thought and word fund the deed you set, Apt arc of pun sparks a grand bet. Leon Enriquez 17 October 2016 Singapore Which statement best describes the figurative language before the volta (turn) vs. after the volta? Question 1 options: A)There is no figurative language anywhere in the poem. B)The figurative language is mostly physical (dancing, cheering) before the volta and moves to mental after it (thought, speech). C) The speaker uses mostly metaphors before the volta and switches to a simile after it. D) Before the volta the speaker uses many musical images (chimes, drums); however, after the volta there is no figurative language used whatsoever. Mrs. Gordon measured three rectangular rooms she wants to tile. What is the total rooms? the family room is 25 ft by 16 ft the kitchen is 15 ft by 12,75 ft the laundry room is 10.5 ft by 10.5 ft. I have to describe the steps i would have to take to solve this problem Which colonial power's policy was based on assimilation of native peoples? Bloom's taxonomy notes that students often begin their college careers as ___________________, but (hopefully) complete them as ________________ of knowledge. Would U.S governor support or oppose Manifast Destiny? Why? The effects of anaerobic conditions how would anaerobic conditions (when no o2 is present) affect the rate of electron transport and atp production during oxidative phosphorylation? (note that you should not consider the effect on atp synthesis in glycolysis or the citric acid cycle.) Active Enzyme + (1)______ (2)______ + (3)______ A)(1) Product (2) Substrate (3) Active Enzyme B)(1) Substrate (2) Product (3) Active Enzyme C)(1) Substrate (2) Product (3) Inactive Enzyme Eliminate D)(1) Product (2) Substrate (3) Inactive Enzyme What is the supreme delight in the poem heaven This is best described by which of these?a.plagiarismb.science is riskyc.stealing information from fellow scientists eliminated.scientific knowledge builds upon previous knowledge The type c behavior pattern is strongly associated with ________. Steam Workshop Downloader