find the circumference of a circle with a diameter of 13 feet

Answers

Answer 1

Answer:

Step-by-step explanation:

radius=diameter/2

13/2

6.5

circumference of a circle=2πr

=2*3.14*6.5

=40.82 feet

=

Answer 2

Answer:

40.84

Step-by-step explanation:

2x3.14x6.5=40.84


Related Questions

please help will mark brainliest for right answer! No links...
Let f(x)=2x^3−x . What is the average rate of change of f(x) from 2 to 8 ?

Answers

Answer:

[tex]f(x) = {2x}^{3} - x \\ \delta \: f(x) = \frac{f(8) - f(2)}{2} \\ = \frac{(2 {(8)}^{3} - 8) - (2 {(2)}^{2} - 2)}{2} \\ = \frac{(1016 - 6)}{2} \\ = \frac{1010}{2} \\ = 505[/tex]

Find the surface area l=12 w=4 h=2

Answers

Answer:

SA=160

Step-by-step explanation:

surface area of cuboid=2lw+2wh+2hl

=2(12)(4)+2(4)(2)+2(2)(12)

=96+16+48

=160

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

Maria has $5.00 more than José. Together they have. $37.50.
Which of these equations would you use to find the amount of money José has?

Answers

Answer:

B

Step-by-step explanation:

Maria has $5.00 more than José

Maria, M

Jose, j

M = j + $5

j + M = $37.50

j + j + $5 = $37.50

The amount of money José has is $16.25.

What is the equation?

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

Maria has $5.00 more than José.

Together they have. $37.50.

Let, the amount of money José has be x.

Based on the given conditions, formulate:

[tex]\rm 5+2\times x=37.50\\\\5+2x=37.50\\\\2x=37.50-5\\\\2x=32.50\\\\x=\dfrac{32.50}{2}\\\\x= 16.25[/tex]

Hence, the amount of money José has is $16.25.

Learn more about equation here;

brainly.com/question/21511618

#SPJ2

how do you prove a theorem?​

Answers

Answer:

Identify the assumptions and goals of the theorem. Understand the implications of each of the assumptions made. Translate them into mathematical definitions if you can. Make an assumption about what you are trying to prove and show that it leads to a proof or a contradiction.

Step-by-step explanation:

Answer:

There are many different ways to go about proving something, discuss 3 methods: direct proof, proof by contradiction, proof by induction. Identify the assumptions and goals of the theorem. Understand the implications of each of the assumptions made. Translate them into mathematical definitions if you can. Make an assumption about what you are trying to prove and show that it leads to a proof or a contradiction

hope this helps

have a good day :)

Step-by-step explanation:

give the other person brainliest pls

I need an answer ASAP

Answers

It is the 3rd one your welcome

Can anyone help me find the function for this trig graph ? i need a specific answer for the function , not just telling me how to find it . 80 pts

Answers

Answer:

y = 5 sin (2x) + 4

Step-by-step explanation:

this is sines function,

the amplitude is [9 - (-1)]/2 = 10/2 = 5

the period is 2πx/π = 2x

the x-axis of actual function is at y = 4

so, the function is :

y = 5 sin (2x) + 4

Which one of these is written in the slope-intercept form? A. x = mb + y B. x + y = 1/3m C. y = mx + b B. y + b = m+ x

Answers

Answer:

C

Step-by-step explanation:

y = mx + b is the standard form of a Slope-Intercept

What is the value of m in the equation 4m + 2(m + 1) = 9m + 5?

1. −1
2. 1
3. 7
4. 17

Answers

Answer:

hhhhhhhhhhooooooooooooooooooooo

Step-by-step explanation:

4m+2(m+1) = 9m +5
4m+2m+2=9m+5
6m+2=9m+5
6m-9m=5-2
-3m =3
m=3/(-3)
m=-1

In 2015, there were approximately 3,774,000 births in a country. Find the birth rate in births per minute.​

Answers

Answer:

7.18 / minute.

Step-by-step explanation:

The number of minutes in 2015 = 365 * 24 * 60 = 525,600.

So  birth rate = 3,774,000 /   525,600

= 7.18

CAN SOMEONE HELP ME PLS

Answers

the answer would be A
a dilation changes the shape of a figure while the others stay the exact same, they’re just in a different spot.

A because they are preserving? I guess that's the best way for me

20
What is the perimeter of the quadrilateral below? If necessary, round to the nearest tenth.

Answers

Answer:

Perimeter = 33.4 units.

Step-by-step explanation:

The 2 horizontal lines are 10 and 3 units long.

The vertical line is 9 units long.

By Pythagoras the length of the sloping line

= sqrt(9^2 + 7^2)

= sqrt(130)

= 11.4017.

Perimeter = 10 + 3 + 9 + 11.4

= 33.4 units.

A basket contains 20 red apples. The rest of the apples are green. The
number of red apples is 80% of the total number of apples. How many
total apples are in the basket?

Answers

Answer: 25 total apples

Step-by-step explanation:

so you would set up an equation where 20 = 0.80x

20 is 80 percent of the total (x)

so then solve for x, which would be 20 divided by 0.8

That's 25

Which function represents the total cost for Lorenzo to rent x number of tables and the chairs he needs to go with them? 12x 12x2 + 40 12x + 40 8x + 40

Answers

Complete question is;

Lorenzo wants to know how much it will cost to rent tables and chairs for an event. He investigates renting tables and chairs and decides to use two different companies. Company A $4 per table (seats 4) and a $25 one-time delivery and pickup fee Company B $2 per chair and a $15 one-time delivery and pickup fee Each table seats 4 people, so Lorenzo needs to rent 4 chairs for every table. x = number of tables Cost to rent tables from Company A: f(x) = 4x + 25 Cost to rent chairs from Company B: g(x) = 2(4x) + 15 Which function represents the total cost for Lorenzo to rent x number of tables and the chairs he needs to go with them?

A) 12x

B) 12x² + 40

C) 12x + 40

D) 8x + 40

Answer:

C: 12x + 40

Step-by-step explanation:

We are told that the Cost to rent tables from Company A is;

f(x) = 4x + 25

Also, we are told that the Cost to rent tables from Company B is;

g(x) = 2(4x) + 15

Thus, total cost for Lorenzo to rent x number of tables and the chairs he needs is;

Total = f(x) + g(x)

Total = 4x + 25 + 2(4x) + 15

Total = 4x + 25 + 8x + 15

Total = 12x + 40

A runner runs a distance of 450 metres in a time of 50 seconds. What is his average speed?

Answers

Answer:

0.279 miles / 0.449 km

Step-by-step explanation:

convert the meters into miles/kilometers to get your answer

The average speed of the runner is 9 meters per second.

What is the difference between average and instantaneous speed?

The average speed is calculated for a period of time while instantaneous speed is calculated at certain instant of time.

For instantaneous speed and average speed are equal for an object moving with constant speed.

The distance travelled and time are given as 450 meters and 50 seconds respectively.

The average speed is given as,

Total distance travelled ÷ Total time taken

= 450 ÷ 50

= 9

Hence, the runner has the average speed of 9 m/s.

To know more about speed click on,

https://brainly.com/question/28224010

#SPJ2

The brand name of Mrs. Fields (cookies) has a 90% recognition rate. If Mrs. fields herself wants to verify that rate by beginning with a small sample of 10 randomly selected consumers, find the probability that exactly 9 of the 10 consumers recognize her brand name. Also, find the probability that the number who recognize her brand name is not nine.

Answers

Answer:

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.

Step-by-step explanation:

For each consumer, there are only two possible outcomes. Either they recognize the name, or they do not. The probability of a customer recognizing the name is independent of anu other customer. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The brand name of Mrs. Fields (cookies) has a 90% recognition rate.

This means that [tex]p = 0.9[/tex].

Sample of 10

This means that [tex]n = 10[/tex]

Find the probability that exactly 9 of the 10 consumers recognize her brand name.

This is P(X = 9). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 9) = C_{10,9}.(0.9)^{9}.(0.1)^{1} = 0.3874[/tex]

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

Also, find the probability that the number who recognize her brand name is not nine.

1(100%) subtracted by those who recognize. So

1 - 0.3874 = 0.6126

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.

hELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Find common denominators, note that what you multiply (or divide) to the denominator, you must also do the same to the numerator.

1)

[tex]\frac{2}{3} , \frac{3}{4} \\\frac{2}{3} * \frac{4}{4} = \frac{8}{12} \\\frac{3}{4} * \frac{3}{3} = \frac{9}{12}[/tex]

Answers: [tex]\frac{8}{12} ; \frac{9}{12}[/tex]

2)

[tex]\frac{1}{4} , \frac{2}{3} \\\frac{1}{4} * \frac{3}{3} = \frac{3}{12}\\\frac{2}{3} * \frac{4}{4} = \frac{8}{12}[/tex]

Answers: [tex]\frac{3}{12} ; \frac{8}{12}[/tex]

3)

[tex]\frac{3}{10} , \frac{1}{2} \\\frac{3}{10} * \frac{1}{1} = \frac{3}{10}\\\frac{1}{2} * \frac{5}{5} = \frac{5}{10}[/tex]

Answers: [tex]\frac{3}{10} ; \frac{5}{10}[/tex]

4)

[tex]\frac{3}{5} , \frac{3}{4}\\\frac{3}{5} * \frac{4}{4} = \frac{12}{20}\\\frac{3}{4} * \frac{5}{5} = \frac{15}{20}[/tex]

Answers: [tex]\frac{12}{20} ; \frac{15}{20}[/tex]

5)

[tex]\frac{2}{4} , \frac{7}{8} \\\frac{2}{4} * \frac{8}{8} = \frac{16}{32}\\\frac{7}{8} * \frac{4}{4} = \frac{28}{32}[/tex]

Answers: [tex]\frac{16}{32} ; \frac{28}{32}[/tex]

6)

[tex]\frac{2}{3} , \frac{5}{12}[/tex]

[tex]\frac{2}{3} * \frac{12}{12} = \frac{24}{36} \\\frac{5}{12} * \frac{3}{3} = \frac{15}{36}[/tex]

Answers: [tex]\frac{24}{36} ; \frac{15}{36}[/tex]

7)

[tex]\frac{1}{4} , \frac{1}{6} \\\\\frac{1}{4} * \frac{6}{6} = \frac{6}{24} \\\frac{1}{6} * \frac{4}{4} = \frac{4}{24}[/tex]

Answers: [tex]\frac{6}{24} ; \frac{4}{24}[/tex]

Find common denominators, note that what you do to the denominator, you do to the numerator:

8.

[tex]\frac{1}{2} [] \frac{2}{5} \\(\frac{5}{5}) \frac{1}{2} [] \frac{2}{5} (\frac{2}{2})\\\frac{5}{10} \neq \frac{4}{10}[/tex]

Answer: Does not equal.

9.

[tex]\frac{1}{2} [] \frac{3}{6} \\\frac{1}{2} (* \frac{3}{3}) [] \frac{3}{6}\\\frac{1 * 3}{2 * 3} [] \frac{3}{6} \\\frac{3}{6} = \frac{3}{6} \\\\\frac{1}{2} = \frac{3}{6}[/tex]

Answer: Does equal.

10.

[tex]\frac{3}{4} [] \frac{5}{6}\\(\frac{6}{6})\frac{3}{4} [] \frac{5}{6}(\frac{4}{4})\\\frac{18}{24} \neq \frac{20}{24}[/tex]

Answer: Does not equal.

11.

[tex]\frac{6}{10} [] \frac{3}{5} \\\frac{6}{10} [] (\frac{3}{5} )(\frac{2}{2})\\\frac{6}{10} [] (\frac{3 * 2}{5 * 2})\\\frac{6}{10} = \frac{6}{10}[/tex]

Answer: Does equal.

12. You are simply only looking for the least number of parts that both rectangles can be divided too. Find the least common multiple of both 3 and 4:

Multiples of 3: 3, 6, 9, 12

Multiples of 4: 4, 8, 12

12 is your answer.

13. Find common denominators. Note that what you do to denominator, you do to the numerator:

[tex]\frac{2}{5} * \frac{2}{2} = \frac{4}{10}\\\frac{1}{2} * \frac{5}{5} = \frac{5}{10}[/tex]

Answers: [tex]\frac{4}{10}[/tex] , [tex]\frac{5}{10}[/tex]

~

Plz help 10 pts
X=
4
6
12

Answers

Answer:

x = 12

Step-by-step explanation:

The product of the length of the secant segment and its external part equals the square of the length of the tangent segment.

3*x = 6^2

3x = 36

Divide each side by 3

3x/3 = 36/3

x = 12

What value is closest to the area of the damaged section?

Answers

Answer:

6.0 square feet

Step-by-step explanation:

6 ÷ 2 = 3(radius)

are of the damaged section = x

77/360 = x/3²π

=> x = 77 × 9π ÷ 360 = 6.0445 <= 6.0 square feet is the closest to this number

6.0 square feet. I hope this helps and good luck

I need the surface area for this prism. If you could provide a formula too, that would be great!

Answers

Answer:

136 [tex]m^{2}[/tex]

Step-by-step explanation:

Back of the shape area/ front of the shape area

A = [tex]\frac{1}{2}[/tex] [tex](bh)[/tex]

A = [tex]\frac{1}{2}[/tex] (6 × 4)

A = [tex]\frac{1}{2}[/tex] (24)       Divide 24 ÷ 2

A = 12

Bottom of the shape area

A = l · w

A = 7 · 6

A = 42

Left side of the shape area/right side of the shape area

A = l · w

A = 7 · 5

A = 35

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

35 + 35 + 42 + 12 + 12 = 136 [tex]m^{2}[/tex]

SA = 136 [tex]m^{2}[/tex] Surface Area = 136 [tex]m^{2}[/tex]

Estimate the given product 61 x 47 =​

Answers

about 2,800 the exact answer is 2,867




A rope is 50 meters long. It is cut into two pieces and one piece is 8 meters longer than the other. What are the two lengths?

Show work please

Answers

Answer:

21 meters and 29 meters

Step-by-step explanation:

x + (x + 8) = 50

2x + 8 = 50

2xc = 42

x = 21

x + 8 = 29

The cost to fill a car’s tank with gas and get a car wash is a linear function of the capacity of the tank. The costs of a fill-up and a car wash for three different customers are shown in the table. Write an equation for the function in slope-intercept form. Then, find the cost of a fill-up and a car wash for a customer with a truck whose tank size is 26 gallons.

Tank size (gal)(x)
Total cost ($)f(x)
11
24.15
12
26.05
17
35.55

Answers

Answer:

Step-by-step explanation:

If this is linear, then the difference between each x/y coordinate is constant, representing the slope of a straight line. We can find the slope of that line by using the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

For use we will use the coordinates (11, 24.15) and (12, 26.05) from the data as our x and y values respectively. Filling in the formula:

[tex]m=\frac{26.05-24.15}{12-11}[/tex] which gives us the cost per gallon of gas as

m = 1.90

Now that we know the cost per gallon of gas (which is also the slope of the line we are looking for), we will use that slope value, m, and write the equation in point-slope form and then solve it for y. Point-slope form of a line is

[tex]y-y_1=m(x-x_1)[/tex] where y1 and x 1 are the coordinates from a given data point. We can use either one; regradless of the point we choose as x and y, we'll get the same exact answer every time. Let's use the coordinate (12, 26.05) and fill in the point-slope form of the line:

y - 26.05 = 1.90(x - 12) and then we will distribute and solve for y:

y - 26.05 = 1.90x - 22.80 and

y = 1.90x + 3.25

That's the equation we need to solve for what the second part of the question is asking us to, which is to find the cost, y, of filling a tank that is 26 gallons, x. Fill in 26 for x and solve for y:

y = 1.90(26) + 3.25 and

y = 49.40 + 3.25 so

y = $52.65

What is the median of this set of data?
32,36,38,39,42

Answers

Answer:

38

Step-by-step explanation:

To find the median, make sure the number are in increasing order (they are), then start crossing out the outside numbers until you meet in the middle:

32 36 38 39 42

/ 36 38 39 /

/ / 38 / /

The only number left is 38, so the median is 38.

If there were two numbers remaining, you would take the average of the two.

    (Add both numbers and divide by 2)

If g(x)= x+1/x-2 and h(x)= 4-x, what is the value of (g•h)(-3)?

Answers

Answer:

8/5

Step-by-step explanation:

First find h(-3)

 h(-3)= 4-(-3) = 4+3 = 7

Then take this result and find g(h(-3)) = g(7)

g(7) = (7+1)/( 7-2) = 8/5

Two cards are drawn without replacement from an ordinary​ deck, find the probability that the second is not a black card​, given that the first is a black card. What is the conditional​ probability?

Answers

Answer:

(a)  [tex]\frac{26}{51}[/tex]

(b)  [tex]\frac{26}{51}[/tex]

Step-by-step explanation:

(i) Probability is the likelihood of whether or not an event will occur. It is given by the ratio of the number of favourable outcomes to the number of expected outcomes. i.e

P = number of favourable outcomes / total number of possible outcomes

For drawing a first card which is black,

number of favourable outcomes = 26 (since there are a total of 26 black cards in a deck of card)

total number of possible outcomes = 52 (since the total number of cards in a deck of card is 52)

∴ Probability of drawing the first black card = 26 / 52 = 1 / 13

Since the second card is not a black card, it is a red card.

number of favourable outcomes = 26 (since there are a total of 26 red cards in a deck of card)

total number of possible outcomes = 51 (since a black card has been previously picked from the deck)

∴ Probability of drawing a second black card = 26 / 51

The probability that the second is not a black card is 26 / 51

(ii) The conditional probability of a given event B is the probability that the event will occur knowing that a previous event A has already occurred,

It is given by;

P(B|A) = P(A and B) ÷ P(A)

In this case;

event B is drawing a second card which is not black

event A is drawing a first card which is black

This implies that;

P(A and B) = [tex]\frac{1}{13}[/tex] x [tex]\frac{26}{51}[/tex]

P(A) = [tex]\frac{1}{13}[/tex]

Substitute these values in the equation for conditional probability as follows;

P(B|A) = [tex]\frac{1}{13}[/tex] x [tex]\frac{26}{51}[/tex] ÷ [tex]\frac{1}{13}[/tex]

P(B|A) = [tex]\frac{1}{13}[/tex] x [tex]\frac{26}{51}[/tex] x [tex]\frac{13}{1}[/tex]

P(B|A) = [tex]\frac{26}{51}[/tex]

Therefore the conditional probability is  [tex]\frac{26}{51}[/tex]

Help besties please flip the picture to see better

Answers

Answer:

E. C= 80+ 12n

Step-by-step explanation:

____________

The half life of a drug in the bloodstream is 18 hours. What fraction of the original drug dose remains in 36 hours? in 72 hours?

Answers

Answer:

1/4 in 36 hours

1/8 in 72 hours

After 36 hours, 1/4 or 0.25 of the original drug dose remains.After 72 hours, 1/16 or 0.0625 of the original drug dose remains.

To determine the fraction of the original drug dose remaining after a certain time, we can use the concept of half-life. The half-life is the time it takes for half of the drug to decay or be eliminated from the bloodstream.

Given that the half-life of the drug is 18 hours, we can calculate the fraction of the original drug dose remaining after a certain number of hours.

After 18 hours (one half-life), half of the drug remains, which is equal to 1/2 or 0.5 of the original dose.

To find the fraction remaining after 36 hours (two half-lives), we can halve the remaining amount from the previous step:

(1/2) * (1/2) = 1/4 or 0.25

Therefore, after 36 hours, 1/4 or 0.25 of the original drug dose remains.

To find the fraction remaining after 72 hours (four half-lives), we can continue halving the remaining amount:

(1/2) * (1/2) * (1/2) * (1/2) = 1/16 or 0.0625

Therefore, after 72 hours, 1/16 or 0.0625 of the original drug dose remains.

In summary:

After 36 hours, 1/4 or 0.25 of the original drug dose remains.

After 72 hours, 1/16 or 0.0625 of the original drug dose remains.

To know more about fraction here

https://brainly.com/question/30154928

#SPJ2

The proportion of iphone users over other smart phones is said to be​ 42%. We believe the propotion may be greater. Determine the sample size needed to test this claim using alpha​ = 0.05, beta​ = 0.05, and the maximum error we will allow is 0.10.
A.
322
B.
379
C.
504
D.
269

Answers

The answer is B 379 Easy math

Who has larger pieces of pizza? Joey has a slice of pizza cut from pizza with a radius of 8 in and cut into 6 slices. Susie has a slice of pizza cut from a pizza with a radius of 9 in and cut into 8 slices

Answers

Joey has larger peices of pizza in my opinion.

Ik its another one of these

Find the measure of angle x in the figure below:

Answers

3: 110


Step by step:

Lemme get Brainly:)
Other Questions
Was compromise a good or bad strategy to prevent the civil war?Help pls What is 4 x 2 equal to solve the system of equations using elimanation-2x+2y=64x+2y=-5 You borrow $225 for eight years of an interest rate of 6%. How much interest will you pay after eight years? 6. Which of the activities belowwould best test cardiovascular. A contestant on a game show must choose 2 of 16 boxes. Once a box is chosen, it is removed from the game. Of the 16 boxes, 3 contain money, 5 contain traveling prizes, and 8 are empty. What is the probability that both boxes are empty? What ideas do you have about what makes Anchorage, Alaska, cooler than Christchurch, New Zealand? Gibson Electronics identifies licensees in various countries who produce and sell the company's products in their countries in return for a royalty fee on every unit sold. Gibson Electronics approach is risky because of the problems associated with:_______a. increased production costs.b. doing business in a different culture where the rules of the game may be very different.c. an increase in transportation costs, especially for those products that have a low value-to-weight ratio.d. the possibility of an increase in trade barriers such as import tariffs or quotas.e. sharing valuable technological know-how with a potential competitor. What was the Industrial Revolution? Whatwere its social, economic, and politicalimpacts? Sound is created through vibrations in the air which causes the auditory sensation in your ear making you able to hear the noises that we do. Sound produced by different sources have different characteristics like amplitude , wavelength and frequency. Analyze the diagrams to answer the following questions with suitable reasons. (A)Which represents the highest pitched sound?. Give reason. Norton can mow the large lawn in about 5 hours. When he works withJesse, they can mow the same lawn together in about 3 hours. Which ofthe following equations can be used to determine how long it wouldtake Jesse to mow the lawn by himself?total. jobsjob. Atime. together time timejob. B A company want to find out if there is a linear relationship between indirect labor expense (ILE), in dollars, and direct labor hours (DLH). Data for direct labor hours and indirect labor expense for 10 months are given. Approximately what percentage of the variation in indirect labor expenses is explained by the regression model you derived?DLH(X) ILE(Y)20 361_025 40022 37623 38420 361_019 36024 427.228 458.426 450_829 475.2 A boat is traveling due North at 27mph. A current is flowing at a bearing of 60 west of south at 8mph. Find the actual speed and direction of the boat written in magnitude and direction form. A deck of cards is laying face-down on a table. You pick 3 cards. What is the probability that all three cards are Kings? Please Help Me With This Problem. A grocery store receives a shipment of potatoes weighing a total of 180-pounds. The shipment contains six 10-pound bags of potatoes and an unknown number of 5-pound bags of potatoes. Write and solve an equation so that you can describe the number of 5-pound bags of potatoes in the shipment. You got this. Emily has plum trees in her backyard.Eeach year she uses the fruit to make jelly.Here are the ingredients for her recepie.4 pounds of pluma3 pounds of sugar1 cup of water This recepie makes 6 pounds of jelly.How many pounds of plums will she need to make 24 pounds of jelly?Show how you figured this out. What is the Code requirement for receptacles connected to circuits of different voltages and installed in one building Sandi randomly selects a single bill from an envelope containing 8 ones, 5 fives, 4 tens, and 3 twenties. What is the expected value of the money she selects Why before painting do we want the surface of the wood to be dry? Situation:Carla is in charge of planning a professional conference. The hotel where the conference willbe held has written her a letter announcing a cost increase, effective immediately, for some oftheir services. The increase will affect the budget for the conference. Carla has written a replyto the hotel manager.American Association of Carpet Weavers2305 Threadbare WayCharlottesville, VA 22902July 26th, 2018Robert Rodriguez, ManagerFour Star HotelDallas, Texas 78208Dear Mr. Rodriguez:I am writing to respond to your letter announcing the price increase for hotelservices. The professional association that I represent is planning a nationalconference at your hotel that we are scheduled four months from now. Howcan we plan a conference of this size if you up and change your prices without