HALPPPPPPPPP The center of a circle has coordinates (6, – 5). The circle is reflected about the line y=x. What are the coordinates of the center of the image circle? ~~~~~~~~~~~~~~~~~~~~~~~~~ (A)(6, −5)~~~(B)(−5, 6)~~~(C)(5, −6)~~~(D) (1, 0)~~~(E) (0, 1)

Answers

Answer 1

Answer:

B: (-5, 6)

Explanation:

If this is being reflected over the line y = x, then the formula to solve would be (b, a), so therefore the answer would be B.


Related Questions

Use the diagram to answer the question. Triangle D E F. Segments E F and D F measure 11 units. Angle F is a right angle. © 2019 StrongMind. Created using GeoGebra. What is the measure of ∠E?

Answers

Answer:

m<E = 45

Step-by-step explanation:

We are given a right angled triangle DEF, with 2 sides of equal length 11 units. We are required to find <E.

To know which trigonometric ratio formula to apply, note the following:

Opposite side = adjacent side = 11 units.

Therefore, we use the following to find <E:

[tex] tan E = \frac{opposite}{adjacent} = \frac{11}{11} [/tex]

[tex] tan E = 1 [/tex]

[tex]E = tan^{-1}(1)[/tex]

[tex] E = 45 [/tex]

Mandana is ordering new tile for her kitchen floor. The area of the floor is 111.8 square feet, and she wants to order between 15% and 20% extra of the materials. Which of the following is a reasonable amount of tile for Mandana to order?

Answers

Answer:

132 tiles

Step-by-step explanation:

We would just take the average of 15% and 20% which would be 17.5% and we could round up to 18% so 18% of 111.8 is 20.124 and if you add them together you would get 131.9 and that rounds up to 132 tiles.

Complete this item. Identify angle1 and angle2. Select all that apply off the following terms: acute, right, obtuse, adjacent, vertical, complementary, supplementary.

Answers

Answer:

Angles 1 and 2 are both obtuse and adjacent.

Step-by-step explanation:

We can go about this systematically.

Acute: They are not acute. Looking at the angles, we can assume that they are greater than 90°.

Right: Greater than 90°, not equal, so not right.

Obtuse: Greater than 90°, so it's obtuse.

Adjacent: The angles are next to each other, so they are adjacent.

Vertical: They share a vertex, but they are not opposite to each other.

Complementary: They do not form a right angle together.

Supplementary: They do not form a straight angle together.

---

I hope this helps, let me know if you have any questions.

Correct Answers:

right

vertical

supplementary

I finished the quiz, it's correct. They're both 90 degree [right] angles, they're across from each other and therefore they're vertical, and they both add up to 180 degrees total, which means that they're supplementary.

One day the temperature was 72°F. That night, the temperature was 44°F. What number represents the change in temperature?

Answers

Answer:

28°F

Step-by-step explanation:

We can find the change in temperature by subtracting 44 from 72:

72 - 44 = 28

So, the change in temperature was 28°F

The answer would be 28° Fahrenheit

Reason being is when you would like to find the difference between 2 numbers, you take the larger one and subtract it by the smaller, thus giving you how far apart they are

In this case 72°-44°=28°

Help plz help I need help

Answers

Answer:

Step-by-step explanation:

There is a 1/20 chance of getting a 1.

This is a 5% chance.

I would say it's highly unlikely.

If this helped, please mark brainliest :D

Answer:

highly unlikely

Step-by-step explanation:

It's certainly not impossible because there is a 1 on the board. However, the probability of landing on the 1 is 1/20 and since that number is really small, it is highly unlikely.

Please help!!! Question is below

Answers

Answer:

A. Obtuse

Step-by-step explanation:

Well we can cross out C and D just by looking at the triangle because the triangle is not equal and there is no right angle.

Also it is not B an acute because not all the angles are acute.

Hence, the answer is A. Obtuse

Answer:

[tex]\boxed{\mathrm{A}}[/tex]

Step-by-step explanation:

An obtuse triangle is a triangle with one obtuse angle and two acute angles.

An obtuse angle is an angle greater than 90 degrees.

An acute angle is an angle less than 90 degrees.

Angle C is an obtuse angle, it is greater than a right angle or 90 degrees.

Angles B and A are acute angles, they are less than a right angle or 90 degrees.

Explain how to create a Stem-and-Leaf plot using the 6 rules. And write down what the 6 rules are.

Answers

Answer:

The 6 rules/steps are below

Step-by-step explanation:

1. determine the smallest and largest number

2. Using the largest and smallest number, make sure that your graph can fit both of those numbers

3. identify the stems/tens place

4. fill in the leaves/ones place

5. Sort them from lowest to highest

6. Check

23 points! Paige has 3 coats: a pink one, a red one, and a white one. She has a black scarf, a gray scarf and 1 set of white gloves. Determine the different combinations Paige has for staying warm if she always wears a coat, a scarf, and gloves. For your answer, list the total number of possibilities and all possible combinations she has.

Answers

Answer:

6 combinations

Step-by-step explanation:

3 coats => Pink, Red, White

2 Scarves => Black, Grey

Gloves => Only 1

So the combination are drawn in the tree diagram below.

Hi there! Hopefully this helps!

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

Since she has 3 coats, 2 scarfs, and 1 glove:

She has 6 ways to choose a coat, a scarf, and a glove(s).

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

My 6 combinations:

1.) Red coat, black scarf, white glove(s).

2.) White coat, grey scarf, white glove(s).

3.) Pink coat, black scarf, white glove(s).

4.) Red coat, grey scarf, white glove(s).

5.) White coat, black scarf, white glove(s).

6.) Pink coat, grey scarf, white glove(s).

Write a linear equation in point-slope form for the line that goes through
(-1,1) and (1,-5).
A. y+1 = -3(x+1)
B. y-1 = 3(x+1)
C. y+ 1 = 2(x - 1)
D. y-1=-3(x + 1)

Answers

Answer:

y -1 = -3(x+1)

Step-by-step explanation:

First find the slope

(-1,1) and (1,-5)

m = (y2-y1)/(x2-x1)

   = (-5-1)/(1--1)

   =-6/ (1+1)

   = -6/2

   = -3

We are using point slope form

y-y1 = m(x-x1)  where m is the slope

y - 1 = -3( x - -1)

y -1 = -3(x+1)

Answer:

The answer is option D.

Step-by-step explanation:

Equation of a line is y= mx + c

where m is the slope

Slope of the line using points

(-1,1) and (1,-5) is

[tex] \frac{ - 5 - 1}{ 1 + 1} = \frac{ - 6}{2} = - 3[/tex]

Therefore the equation of the line using point (-1,1) is

y - 1 = - 3( x + 1)

Hope this helps you

?help..........thanks you for helping me

Answers

Answer:

Step-by-step explanation:

cost of one box = RS20

IT IS 20 TIMES MORE THAN COST OF ONE BOX

Answer:

The cost of 1 small box of mixed organic vegetables is $20. The cost of 20 small boxes of vegetables is $380 more than the cost of 1 small box.

Step-by-step explanation:

Since the cost of 9 small boxes is $180, we can divide both by 9 to get the price of one small box. 180/9=20. The cost of 20 small boxes is 20 boxes multiplied by 20 dollars, which is 400 dollars. $400-$20=$380.

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

Answers

Answer:

15.62 = x

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

10 ^2 + 12^2 = x^2

100 +144 = x^2

244 = x^2

Take the square root of each side

sqrt(244) = sqrt(x^2)

15.62049935 = x

Rounding to the nearest hundredth

15.62 = x

Answer:

15.62

Step-by-step explanation:

We can use the Pythagorean Theorem.

10^2+12^2=c^2

100+144=c^2

244=c^2

15.62=c, or x=15.62

find the value of a in this picture below

Answers

Answer:

[tex]\boxed{a=40}[/tex]

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

[tex]a[/tex] is equivalent to all the other [tex]a[/tex].

Put up an equation and solve for [tex]a[/tex].

[tex]60+a+a+a=180[/tex]

[tex]3a+60=180[/tex]

[tex]3a=120[/tex]

[tex]a=40[/tex]

Answer:

Step-by-step explanation:

in the given figure;

a+60deg.+a+a=180 deg.

=> 3a+60=180

=> 3a=180-60

=> 3a=120

=> a=120/3

   =40 deg.

A function g(x) has x-intercepts at (StartFraction 1 Over 2 EndFraction, 0) and (6, 0). Which could be g(x)? g(x) = 2(x + 1)(x + 6) g(x) = (x – 6)(2x – 1) g(x) = 2(x – 2)(x – 6) g(x) = (x + 6)(x + 2)

Answers

Answer:

[tex]g(x) = (x-6)(2x-1)[/tex]

Step-by-step explanation:

[tex]g(x)[/tex] intercepts the x-axis at these 2 points:

[tex](6,0) ;(1/2,0)[/tex]

⇒ 6 and 1/2 are roots ie; if you insert [tex]x=6[/tex] or [tex]x=1/2[/tex] into the equation of g(x) you will obtain a 0.

[tex]g(6) = g(1/2) = 0[/tex]

now in order for 0 to appear we should have [tex]x-6[/tex]

now in order for 0 to appear we should have [tex]x-1/2[/tex]

but  [tex]x-1/2[/tex] doesn't appear in any of these, but its multiple of 2 is there:

[tex]2(x-1/2) = 2x-1[/tex]

Therefore the function;

[tex]g(x) = (x-6)(2x-1)[/tex]

Answer:

b

Step-by-step explanation:

Write an algebraic equation to match each graph. (These graphs are not drawn to scale!)

Answers

Answer:

y = |x - 1|

Step-by-step explanation:

This graph is the standard graph of y = |x|, shifted 1 unit right. To shift 1 unit right, we have to replace x by x - 1. This works because it replaces f(1) with f(0), f(2) with f(1), etc., shifting the entire graph right.

2 3 4 5 6 7 8 9 10 TIME REMAINING 58:34 The graph for the equation y = x minus 4 is shown below. On a coordinate plane, a line goes through (0, negative 4) and (4, 0). Which equation, when graphed with the given equation, will form a system that has an infinite number of solutions? y minus x = negative 4 y minus x = negative 2 y minus 4 = x y + 4 x = 1 Mark this and return Save and Exit

Answers

Answer:

The answer is y minus x = negative 4

or c for short

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

i got it right on the test

The monthly salary of a salesman of a departmental store is Rs 12,500 and an additional payment of 0.5 % on the total monthly sale is provided as commission.

i) Calculate his total income in a month if he makes a total sale of Rs 7,20,000 in that month.

ii) What should be his total sale in the next month so that he can receive a total income of Rs 20,000 in the month?​

Answers

Answer:

i. [tex]Total\ Income = Rs\ 16,100[/tex]

ii. [tex]Monthly\ Sales = Rs\ 1,500,000[/tex]

Step-by-step explanation:

Given

[tex]Salary = Rs\ 12,500[/tex]

Commission = 0.5% of Monthly Sales

Calculating his total income is total sales is  Rs 720,000

[tex]Total\ Income = Salary + Commission[/tex]

Substitute (0.5% of Monthly Sales) for Commission

[tex]Total\ Income = Salary + (0.5\%\ of\ Monthly\ Sales)[/tex]

Substitute Rs 720,000 for Monthly Sales and Rs 12,500 for Salary

[tex]Total\ Income = Rs\ 12,500 + 0.5\%\ of\ Rs\ 720,000[/tex]

[tex]Total\ Income = Rs\ 12,500 + 0.5\%\ * Rs\ 720,000[/tex]

Convert % to decimal

[tex]Total\ Income = Rs\ 12,500 + 0.005\ * Rs\ 720,000[/tex]

[tex]Total\ Income = Rs\ 12,500 + Rs\ 3,600[/tex]

[tex]Total\ Income = Rs\ 16,100[/tex]

Calculating his total sales if total income = Rs 20,000

Recall that;

[tex]Total\ Income = Salary + Commission[/tex]

Substitute Rs 20,000 for Total Income; Rs 12,500 for Salary and (0.5% of Monthly Sales) for Commission

[tex]Rs\ 20,000 = Rs\ 12,500 + 0.5\%\ of\ Monthly\ Sales[/tex]

Subtract Rs 12,500 from both sides

[tex]Rs\ 20,000 - Rs\ 12,500 = Rs\ 12,500 - Rs\ 12,500 + 0.5\%\ of\ Monthly\ Sales[/tex]

[tex]Rs\ 7,500 = 0.5\%\ of\ Monthly\ Sales[/tex]

[tex]Rs\ 7,500 = 0.5\%\ *\ Monthly\ Sales[/tex]

Divide both sides by 0.5%

[tex]\frac{Rs\ 7,500}{0.5\%} = \frac{0.5\%\ *\ Monthly\ Sales}{0.5\%}[/tex]

[tex]\frac{Rs\ 7,500}{0.5\%} = Monthly\ Sales[/tex]

Convert % to decimal

[tex]\frac{Rs\ 7,500}{0.5\%} = Monthly\ Sales[/tex]

[tex]\frac{Rs\ 7,500}{0.005} = Monthly\ Sales[/tex]

[tex]Rs\ 1,500,000 = Monthly\ Sales[/tex]

[tex]Monthly\ Sales = Rs\ 1,500,000[/tex]

Write an equation of a line that has a y-intercept at (0, -6)

Answers

Answer:

[tex]y=x-6[/tex]

Step-by-step explanation:

    First to write this equation you will need to know slope intercept form which is the equation that the people that wrote this problem are presumably looking for. Slope intercept form can be simply written as [tex]y=mx+b[/tex] . The variable [tex]m[/tex] would be the slope while the variable [tex]b[/tex] would be the y -intercept.

    So to find out this we would have to assume that m or the slope would have to be 1 so we would have [tex]y=1x+b[/tex] or [tex]y=x+b[/tex].  

    Now we have the first half of the equation we can move on to the variable [tex]b[/tex] or the y-intercept (0,-6) . To find the variable [tex]b[/tex] we will just have to graph the point (0,-6) which as you can see from the picture is the y-intercept and that is -6 units below 0. So the final answer will be [tex]y=x-6[/tex]

y=9999x-6.
y=-5x-6
y=x-6

Any line y=Cx-6

can you draw a quadrilateral with no parallel lines and at least one right angle?​

Answers

Answer:

Yes

Step-by-step explanation:

We can draw a quadrilateral with no parallel lines and at least one right angle

Answer:

Yes

Step-by-step explanation:

It's possible to draw a quadrilateral with no parallel lines and with 1 right angle        

I really hope this helps I know how you feel (:-D)

If a = 4 and b = 7, what is the value of the following expression? 20 ÷ a + 7 • b A. 28 B. 84 C. 54 D. 33

Answers

Answer:

54

Step-by-step explanation:

20 ÷ a + 7 • b

Let a = 4 and b = 7

20 ÷ 4 + 7 • 7

Multiply and divide first

5 + 49

Then add

54

Answer:

54

Step-by-step explanation:

a=4    b=7

20/4=5

7✖️7=49

5+49=54

Hope this helps you!

If sin ZA = { and cos ZA = }, what is tan ZA?

Answers

Answer:

A: 3/4

Step-by-step explanation:

sine is the length of the opposite side / length the hypotenuse side

cosine is the length of the adjacent side / length the hypotenuse side

using what's given:

the opposite side has a length of 3the adjacent side has a length of 4the hypotenuse side has a length of 5

Tangent is the ratio between the opposite side length and the adjacent side length (opp/adj). With our givens, this means tan(A) = 3/4. See image for more.

Answer:

A

Step-by-step explanation:

HELP NOW A dartboard has 20 equally divided wedges, and you are awarded the number of points in the section your dart lands in. If you are equally likely to land in any wedge, what is the probability you will score more than 10 points?

Answers

Answer:

1/2 (or) 0.50 (or) 50%

Step-by-step explanation:

10 out of 20 wedges are worth more than 10.

10/20 = 1/2 (or) 0.50 (or) 50%

Answer:

0.75

Step-by-step explanation:

What is the sum of the probabilities in a uniform probability distribution? A) 0 B) infinite C) 1 D)2

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Probability.

Basically we have to know that, when there is a specific event for which a probability has to be done, there are always two possibilities that is,

Event favourable and Not Favourable.

the Sum of both always end up as 1.

thus sum of the probability distribution is 1.

The sum of the probabilities in a uniform probability distribution is 1.

Hence, option C is the right choice.

What is a uniform probability distribution?

A uniform distribution is a probability distribution in which all events have the same probability.

Because the chances of drawing a heart, a club, a diamond, or a spade are equal, a deck of cards has uniform distributions.

How do we solve the given question?

The general formula for the probability density function (pdf) for the uniform distribution is: f(x) = 1/ (b - a) for a ≤ x  ≤ b.

To find the sum of all the probabilities in a uniform probability distribution, we do the integral over f(x).

[tex]\therefore SUM = \int_{a}^{b}f(x)dx\\or, SUM = \int_{a}^{b}\frac{1}{b-a}dx\\or, SUM = \frac{1}{b-a}\int_{a}^{b}dx\\or, SUM = \frac{1}{b-a}[x]_{a}^{b}\\or, SUM = \frac{1}{b-a}(b-a)\\or, SUM = 1[/tex]

The sum can also be found using the graph attached, calculating the area of the red rectangle.

∴ The sum of the probabilities in a uniform probability distribution is 1.

Hence, option C is the right choice.

Learn more about uniform probability distribution at

https://brainly.com/question/20411994

#SPJ2

Can you guys please help me with this? It’s for tomorrow

Answers

1: 21
2: 4a
3: m^2
4:4x+4
5:7d+21
6:y(y+3)
7:x+1
8:d+4
9:y+3
seems u got answers for the rest so i will not answer them

Plz help me 3y+x=7 4x-2y=0

Answers

Answer: 3

Step-by-step explanation:

David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is 15:115:115, colon, 1. He currently has 404040 grams of the spice blend, and he can go buy more if necessary. He wants to make 101010 servings, where each serving has 757575 grams of rice. Overall, David spends 4.504.504, point, 50 dollars on rice. How many servings can David make with the current amount of spice he has

Answers

Answer:

  8 servings

Step-by-step explanation:

At the ratio of 15:1, the 75 grams of rice in one serving will require 75/15 = 5 g of spice. David's inventory of 40 g of spice is enough for ...

  40 g/(5 g/serving) = 8 servings

Only 8 servings can be made with the available spice.

Rice to spice ratio = 15 : 1

Number of grams per serving = 75 grams

Grams of spice available = 40 grams

Grams of rice, r required for available spice :

15 grams of rice = 1 gram of spice

r grams of rice = 40 grams of spice

Cross multiply :

r = (40 × 15)

r = 600 grams

The grams of rice which can go with the available spice :

Number of servings = grams of rice / grams per serving

Number of serving = 600 grams / 75 grams

Number of grams per serving = 8

Hence, The number of servings which can be made with the available spice is 8 servings

Learn more : https://brainly.com/question/18796573

The function ƒ(x) = 6x is vertically shrunk by a factor of ½ and translated 9 units in the negative y- direction. Select the correct graph of the resulting function.

Answers

Step-by-step explanation:

The graph on the left is f(x). The roots -- the x-intercepts -- are −3, −1, 2. The middle graph is f(−x), which is its reflection about the y-axis. The graph on the right is −f(x), which is its reflection about the x-axis.

Answer:

The graph on the left is f(x). The roots -- the x-intercepts -- are −3, −1, 2. The middle graph is f(−x), which is its reflection about the y-axis. The graph on the right is −f(x), which is its reflection about the x-axis.

Step-by-step explanation:

this was correct

The pair of points is on the graph of an inverse variation. Find the missing value.
(5, 4) and (x, 7)

Answers

Answer:

20/7 or 2 and 6/7

Step-by-step explanation:

convert it into the equation 5=k/4

so 5x4 is 20

k=20

then x=20/y

and y is 7

so the answer is 20/7

pls help !
simplify

Answers

Answer:

B

Step-by-step explanation:

Sqaure roots can be rewritten as fractions.

The numerator will be rewritten as 6^(1/4)

The denominator will he written as 6^(1/5)

Now u can subtract the power, but u have to find a common denominator so it is now (5/20)-(4/20)

The denominator stays the same so you are left with 1/20 which is still the power over 6

6^1/20

Answer:

[tex]6^{\frac{1}{20} }[/tex]

Step-by-step explanation:

[tex]6^{\frac{1}{4} } /6^{\frac{1}{5} }[/tex]

1/4 - 1/5 = 1/20

Find the number: 25% of a number is z lb.

Answers

Answer:

Depends on the number.

Step-by-step explanation:

the answer would be 1/4z lb

Thank you for helping

Answers

Answer:

The answer is option B

Step-by-step explanation:

Using BODMAS the expression in the bracket

that's

( 9 + 3) must be solved first

Hope this helps you

the answers is B always start with the ()
Other Questions
A 36.0g sample of an unknown metal at 99C was placed in a constant-pressure calorimeter containing 70.0 g of water at 24.0C. The final temperature of the system was found to be 28.4C. Calculate the specific heat of the metal. (The heat capacity of the calorimeter is 12.4 J/C.) Angelina's relationships always end badly and two boyfriends have had restraining orders put on her as she kept calling them and showing up at the apartments after they broke up. Her emotions can switch very quickly and when she gets angry, she gets really angry throwing things and destroying property. However she also get really down feeling very empty and alone, during these times she has been known to cut herself just so she can feel something. Angelina likely will meet diagnostic criteria for: a. Bipolar Disorder b. Antisocial Personality Disorder c. Dissociative Identity Disorder d. Borderline Personality Disorder What was the attitude of the inc to the awadh peasant movement and the methods used by them? 4.MindTap, Brightspace, Moodle, Teachable are the examples of _________A)LMSB)ITeSC)BPMD)All of these Which set of points represents a function?OA) (-5,9). (-5, 8), (4,7), (4, 6)OB) (-3, -2), (-2, -1), (-1, 2), (-3, 4)OC) (2,7). (-1, -7), (2, -7), (-1,7)OD) (6, -1). (-3,4), (-6,4), (3, -1) Pls help!!A. birds>leopard seals> carnivorous zooplankton>herbivorous zooplanktonB. phytoplankton>krill>fish>baleen whalesC. phytoplankton> herbivorous zooplankton >fish>leopard seals EXAMPLE 4 Find z/x and z/y if z is defined implicitly as a function of x and y by the equation x6 + y6 + z6 + 18xyz = 1. SOLUTION To find z/x, we differentiate implicitly with respect to x, being careful to treat y as a constant: Strong Look Corporation provided the following information to its accountants. The company had current assets of $145,332, net fixed assets of $356,190, and other assets of $4,176. The firm has long-term debt of $76,445, common stock of $200,000, and retained earnings of $134,461. What amount of current liabilities does this firm have? In which order would these rocks and minerals be found in the layers of Earth from the crust to the lower mantle? Fermentation is a complex chemical process of making wine by converting glucose C6H12O6 into ethanol C2H5OH and carbon dioxide: C6H12O6(s) ---> 2 C2H5OH (l) + 2 CO2(g) Calculate the mass of ethanol produced if 500.0 grams of glucose reacts completely. Which of the following was a result of the development of Christianity in the Byzantine Empire? Two investment advisers are comparing performance. One averaged a 21% rate of return and the other a 18% rate of return. However, the beta of the first investor was 1.4, whereas that of the second investor was 1. a. Can you tell which investor was a better selector of individual stocks (aside from the issue of general movements in the market)? First investor Second investor Cannot determine b. If the T-bill rate was 7% and the market return during the period was 13%, which investor would be considered the superior stock selector? Second investor First investor Cannot determine c. What if the T-bill rate was 4% and the market return was 17%? First investor Second investor Cannot determine Jack deposited 200$ in his savings account in 1$ and 5$ bills. If he deposited 136 bills, how many 5$ bills did he deposit? Is my answer correct? 10 points + brainleist! The length of time a full length movie runs from opening to credits is normally distributed with a mean of 1.9 hours and standard deviation of 0.3 hours. Calculate the following: A random movie is between 1.8 and 2.0 hours. A movie is longer than 2.3 hours. The length of movie that is shorter than 94% of the movies A constant force of 230 N is applied to a 24 kg block of concrete for 25 seconds.a. What is the final speed of the block if it originally at rest Please answer this correctly without making mistakes The rate of return on the common stock of Lancaster Woolens is expected to be 18 percent in a boom economy, 8 percent in a normal economy, and only 2 percent in a recessionary economy. The probabilities of these economic states are 12 percent for a boom and 10 percent for a recession. What is the variance of the returns on this common stock How is the theme that the narrators power and superiority over the natives is only an illusion developed in this story? Select each correct answer. The narrator thinks he is in control of the situation, but he is repeatedly tricked by the villagers. The narrator claims payment of fines over an incident with his piglets tails, but the villagers refuse to pay. The narrators wealth immediately establishes his authority over the villagers, but the villagers do not respect him. The narrator establishes a series of declarations and rules to assert authority over the villagers. The narrator bribes the authorities to ensure that he has power and preference over the villagers. Intelligence quotients (IQs) measured on the Stanford Revision of the Binet Simon Intelligence Scale are normally distributed with a mean of 100 and a standard deviation of 16. Determine the percentage of people who have an IQ between 115 and 140.