EMERGENCY PLZ HELP ASAP
For the diagram shown, x = 80 and y = 30. Determine the value of z.
A) 20
B) 40
C) 50
D) 100

EMERGENCY PLZ HELP ASAPFor The Diagram Shown, X = 80 And Y = 30. Determine The Value Of Z.A)20B)40C)50D)100

Answers

Answer 1

Answer:

C) 50

Step-by-step explanation:

x+90+90+y+z=360

270+y+z=360

y+z=90

Therefore, C) 50

Answer 2

Answer:

50 degrees

Step-by-step explanation:

Ah ok so we know that x= 80 degrees.

y+z= x.

So all you have to do is input the values.

80-30=50

Hence the answer is C) 50


Related Questions

A local charity organization held an event to celebrate its work for the past five years. A local newspaper reporter who attended the event asked 75 of the attendees about their contributions. The reporter computed the mean amount of money raised by the 75 attendees to be $18,500. In an article published by the local newspaper, the reporter was quoted as stating, "The members of the charity organization were successful in raising money for their cause. Last year, they raised a mean amount of $18,500!"

Part A: What is a statistical advantage of using the median of the reported amounts, rather than the mean, as the estimate of the typical amount raised? (4 points)

Part B: The newspaper editor felt the individuals who attended the event may be different from the organization as a whole. A more detailed survey of the members was planned to determine a better estimate of the amount of money raised. The staff developed two methods based on the available funds to carry out the survey.

Method 1: Send out an e-mail to all 10,530 members of the organization and ask them to complete an online form. The staff estimates at least 2,000 members will respond.

Method 2: Select a simple random sample of members of the organization and contact the selected members directly by phone. Follow up to ensure all responses are obtained. Because method 2 requires more time than method 1, the staff estimates that only 1,000 members of the organization can be contacted using method 2.

Which of the two methods would you select for estimating the average yearly amount raised by all 10,530 members of the charity organization? Explain your reasoning by comparing the two methods and by describing the effect of each method on the estimate.

Answers

Answer:

Part A. The statistical advantage of using the median is that the median is less effected by skewed data and outliers.

Part B. I would select method two because method one has a non-response bias and the sample individuals are not selected at random.

Step-by-step explanation:

Higher values pull averages up where medians just select the middle value and aren't necessarily pulled by outliers.

Non response biases happen when the individuals chosen choose not to answer or can volunteer to answer.

Sending out emails to everyone at the org is not choosing them at random.

A statistical advantage of using the median instead of the mean as the estimate of the typical amount raised is that the median is less sensitive to extreme values or outliers.

Method 1 would be the better choice for estimating the average yearly amount raised by all 10,530 members of the charity organization

What is a median?

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

Part A:

A statistical advantage of using the median instead of the mean as the estimate of the typical amount raised is that the median is less sensitive to extreme values or outliers.

In this case,

If there were a few attendees who contributed a very large amount of money, it would increase the mean and make it an overestimate of the typical amount raised.

However, the median would not be affected by the outliers, and it would give a better estimate of the typical amount raised by the majority of the attendees.

Part B:

Method 1 would be a better choice for estimating the average yearly amount raised by all 10,530 members of the charity organization.

This is because it would have a larger sample size than method 2, which would make the estimate more precise and reduce the sampling error.

Additionally,

Method 1 would include a broader range of members, including those who may not have attended the event or who may have contributed in other ways besides donating money.

Method 2, on the other hand, would have a smaller sample size and would only include a random subset of the organization's members, which could lead to sampling bias if the selected members are not representative of the larger population.

Furthermore, the follow-up required by method 2 would make it more time-consuming and potentially less cost-effective than method 1.

Thus,

Method 1 would be the better choice for estimating the average yearly amount raised by all 10,530 members of the charity organization because it would have a larger sample size, include a broader range of members, and be more cost-effective than method 2.

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, Ohio in 1990, the number of residents has decreased by 5% every 5 years. In 1990, there were 182,000 residents in Dayton, Ohio. Estimate the population in 2020 to the nearest whole number.

Answers

Answer:

133,787 residents

Step-by-step explanation:

First thing we need to do here is calculate the number of 5 years between 2020 and 1990

That would be 2020-1990 = 30/5 = 6

Now to estimate the present population, we will be needing an exponential equation

P = I(1-r)^n

where P is the present population at 2020

I is the population at 1990 which is 182,000

r is the percentage decrease every 5 years which is 5% or simply 5/100 = 0.05

n is the number of 5 years between 1990 and 2020 which is 6

Plugging all these values we have;

P = 182000(1-0.05)^6

P = 182000(0.95)^6

P = 133,786.724

To the nearest whole number, P = 133,787 residents

Which measurement is equal to 6 kilograms

Answers

Answer:

6.000 grams

Step-by-step explanation:

1 kg = 1000g

=> 6 kg = 6000g

Answer:

The answer is 6,000 grams

Step-by-step explanation:

Someone please help me

Answers

Answer:

hi buddy

the answer is a if we divide both with equation 4 then you can get the answer

hope it likes you.....

please mark brainlist

The answer is C u do Parentheses first

The total number of subsets of a set A is 120 more than the total number of subsets of set B. The number of elements in the two sets respectively are
(A) 3, 7 (B) 4, 8 (C) 8, 4 (D) 7, 3

Answers

Answer:

(D) 7, 3

Step-by-step explanation:

If a set has 'n' elements, the total number of subsets is (2^n) - 1

So if set A has more subsets than set B, it needs to have more elements, so option (A) and (B) can't be correct.

So, checking option (C), we have:

Set A: number of subsets = 2^8 - 1 = 255

Set A: number of subsets = 2^4 - 1 = 15

Difference: 255 - 15 = 240

The difference is not 120, so this is not the correct option

Option (D):

Set A: number of subsets = 2^7 - 1 = 127

Set A: number of subsets = 2^3 - 1 = 7

Difference: 127 - 7 = 120

Correct option: (D)

Angela works 18 hours a week for 12 weeks in the summer at the local swimming pool as a life guard. she earns $13 per hour. her employer takes 15 percent out of her check for federal income tax withholding and 6.2 percent for social security and 1.45 percent for medicare. she will receive 12 paychecks, one for each week she works. calculate angela’s weekly gross pay: calculate the amount taken out of angela’s check for federal income tax withholding: calculate the amount taken out of angela’s check for social security taxes: calculate the amount taken out of angela’s check for medicare taxes: calculate angela’s net paycheck using the calculations above: calculate angela’s total gross pay for all 12 weeks: calculate angela’s total net pay for all 12 weeks:

Answers

Answer:

Gross pay per week = $234

Federal income tax = $421.2

Social security = $174.96

Medicare =$40.71

net pay per week = $181

Total gross pay = $2,808

Total net pay = $2172

Step-by-step explanation:

Hi, to answer this question, first, we have to calculate Angela gross income per week:

18 hours per week x $13 per hour = $234 per week (gross)

234 x 12 =2,808

Amount taken ; multiply weekly gross pay by each percentage discount in decimal form (divided by 100)

Federal income tax = 234 x (15/100) = $35.1  (in 12 weeks = 35.1 x 12 = $421.2)

Social security = 234 x (6.2/100)= $14.508 (in 12 weeks = 14.5 x 12 = $174.96)

Medicare = 234 x (1.45/100)=$3.393  (in 12 weeks = 3.39x 12 = $40.71)

Total amount taken (per week)= 35.1+14.508+3.393=$53.001

Net pay per week = 234-53 = $181

For the total gross pay we have to multiply the weekly gross pay by the number of weeks (12)

Total gross pay = 234 x 12 =$2,808

Total net pay = 181 x 12 = 181 per week x 12 = $2172

The volume of an oblique pyramid with a square base is V units3 and the height is h units.

An oblique pyramid with a square base has a volume of V units cubed and a height of h units.

Which expression represents the area of the base of the pyramid?

StartFraction 3 V Over h EndFraction units2
(3V – h) units2
(V – 3h) units2
StartFraction V Over 3 h EndFraction units2

Answers

Answer:

StartFraction 3 V Over h EndFraction units2

Step-by-step explanation:

volume of an oblique square pyramid V = 1/3 * b * H where;

b is the base area of the pyramid

H is the height of the pyramid

To determine the expression that represents area of the base of the pyramid, we will make the variable 'b' the subject of the formula from

V = 1/3 bH

[tex]V=\frac{bH}{3}[/tex]

Cross multiplying we have;

[tex]3V = bH\\[/tex]

Dividing both sides by H we have;

[tex]\frac{3V}{H} = \frac{bH}{H} \\b = \frac{3V}{H}units^{2}[/tex]

This gives the correct expression for the base area of the pyramid

Answer:

A.

Step-by-step explanation:

What is the value of x in the equation

1/3x - 1/2 = 18 1/2

a. 6
b. 15
c. 54
d. 57
PLEASE HURRY I NEED HELP

Answers

1/3 x - 1/2 = 18 1/2
1/3 x = 19 (add 1/2 on the right side to 18 1/2)
x = 57 (multiply the reciprocal of 1/3 and that will be 3/1 or 3 to 19 to get x by itself)
So, the answer is x = 57 (d. 57)

Which of theses numbers are prime

7,42,65,87,95

Answers

Answer:

7

Step-by-step explanation:

7 is a prime number. hope this helps!! moo!

The only number that is prime in this situation is 7

How many solutions does this equation have?

–6 − 8r = 8 − r

Answers

Answer:

1

Step-by-step explanation:

–6 − 8r = 8 − r

− 8r - r = 8 + 6

-9r = 14

r = -14/9

Answer:

r =-2

Step-by-step explanation:

–6 − 8r = 8 − r

Add r to each side

–6 − 8r+r = 8 − r+r

-6 -7r = 8

Add 6 to each side

-6+6 -7r = 8+6

-7r = 14

Divide each side by -7

-7r/-7 = 14/-7

r =-2

Please help me I’m about to break down

Answers

Answer:

the answer would be <RSV &<TSV

Answer:

RSV and TSV

Step-by-step explanation:

Supplementary angles are those that add to 180 degrees

RSV and TSV form a straight line so they add to 180

They are complementary angles

Order the following expressions by their values from least to greatest.
b-a
a -0.5
a

Answers

Answer:

a

a -0.5

b -a

i believe that is the order but i could be wrong

Answer:

hi there !!

the correct answer should be: a - 0.5, a, b - a

Step-by-step explanation:

first let's show -0.5 on the number line.

now let's show b - a on the number line.

the given expressions are ordered by their values below.

You are going to buy a pizza, and have 3 options. The first option is a rectangular pizza that is 8 inches by 16 inches. The second option is a circular pizza that has a diameter of 10 inches. The third option is a pizza in
the shape of a triangle, with a base of 14 inches, and a height of 10 inches.
Which pizza is the largest? (You must give the area of each pizza to
receive credit)
*

Answers

Answer:

The largest pizza is Rectangular Pizza .

Step-by-step explanation:

In order to know which pizza is the largest you have to find the area for each shape using the formulas :

Rectangular pizza,

[tex]area = length \times width[/tex]

Let length = 8 inches,

Let width = 16 inches,

[tex]area = 8 \times 16[/tex]

[tex]area = 128 \: \: {inches}^{2} [/tex]

Circular pizza,

[tex]area = \pi \times {r}^{2} [/tex]

Let r = 5 inches,

[tex]area = \pi \times {5}^{2} [/tex]

[tex]area = 25\pi[/tex]

[tex]area = 78.5 \: \: {inches}^{2} [/tex]

Triangular pizza,

[tex]area = \frac{1}{2} \times base \times height[/tex]

Let base = 14 inches,

Let height = 10 inches,

[tex]area = \frac{1}{2} \times 14 \times 10[/tex]

[tex]area = \frac{1}{2} \times 140[/tex]

[tex]area = 70 \: \: {inches}^{2} [/tex]

Anyone else getting the nasty storms from Tropical Storm Arthur? (I live in Virginia Beach, VA so I am :/)

Answers

Answer:

No not yet. But Sumter County is supposed to get rain all week starting today. It's starting to thunder now.

Answer:

Oh yeah...

Step-by-step explanation:

Arthur is bullying my house.......

(Brainliest?)

What is 1/2 multiplied -3/4

Answers

Answer:

the answer is -3/8

hope this helps

Find the area of the following trapezoid

Answers

The formula to calculate the area of a trapezoid is as follow:

4 * (8 + 16) * 1/2

Answer:

trapezoid area :(a+b)/2 ×h

(16+ 8)/2 ×4

=48

Sheryl and Jennifer were given the same number of sticker at first.After jennifer used 84 stickers ,sherly had 4 times as many stickers as jennifer. How many stickers were given to sherly at first

Answers

Answer:

112 stickers

Step-by-step explanation:

Let x and y represent the number of stickers Sheryl and Jennifer were given at first.

Sheryl and Jennifer were given the same number of sticker at first.

So;

x = y ......1

After jennifer used 84 stickers ,sherly had 4 times as many stickers as jennifer.

x = 4(y-84)

x = 4y - 336 ......2

Substituting equation 1 into 2

y = 4y - 336

Solving for y;

4y - y = 336

3y = 336

y = 336/3

y = 112

Therefore, sherly was given 112 stickers at first

A group of students recorded how much money they earned per week for allowance to the nearest dollar. The students created the following histogram.



Which data set below was used to create this histogram?

A
$1, $2, $2, $3, $3, $3, $4, $4, $4, $4

Answered Incorrectly
B
$2, $3, $4, $5, $6, $7, $8, $10, $14, $15

C
$2, $4, $5, $7, $7, $9, $10, $14, $15, $20

D
$3, $4, $6, $7, $7, $8, $11, $14, $16, $17

Answers

Answer:

C

Step-by-step explanation

Answer:

c

Step-by-step explanation:


Which expressions are equivalent to
x+x+x+2?

Answers

Answer:

3x + 2

Step-by-step explanation:

x = 1x but leaving the x alone equals the exact thing.

If there are x + x + x, this means 3x since it is also

1x + 1x + 1x.

This is another expression for 3x + 2.

The anwser to this question is 3x+2

PLEASE HELP ASAP I WILL GIVE 30 POINTS
during a six week period the value of a stock in dollars per share changed as follows:
Week 1= UP 3 2/8
Week 2= Up 2 1/4
Week 3= Down 3 3/4
Week 4 = Up 2 3/4
Week 5 = Down 1 1/8
Week 6= Down 5/8

Answers

Answer

Whats the question?

Step-by-step explanation:

Answer:

Umm, I don't get, what are we to do

Step-by-step explanation:

3x+2y=12+y 4y-7x=10 solve

Answers

Answer:

x = 2 , y = 6

Step-by-step explanation:

Solve the following system:

{3 x + 2 y = y + 12 | (equation 1)

4 y - 7 x = 10 | (equation 2)

Express the system in standard form:

{3 x + y = 12 | (equation 1)

-(7 x) + 4 y = 10 | (equation 2)

Swap equation 1 with equation 2:

{-(7 x) + 4 y = 10 | (equation 1)

3 x + y = 12 | (equation 2)

Add 3/7 × (equation 1) to equation 2:

{-(7 x) + 4 y = 10 | (equation 1)

0 x+(19 y)/7 = 114/7 | (equation 2)

Multiply equation 2 by 7/19:

{-(7 x) + 4 y = 10 | (equation 1)

0 x+y = 6 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{-(7 x)+0 y = -14 | (equation 1)

0 x+y = 6 | (equation 2)

Divide equation 1 by -7:

{x+0 y = 2 | (equation 1)

0 x+y = 6 | (equation 2)

Collect results:

Answer:{x = 2 , y = 6

What is the solution of this equation?
-1y = -4

Answers

Answer:

y = 4

Step-by-step explanation:

-1y = -4

Divide both sides by -1 to get y by itself.

-1/-1 = -4/-1

y = 4

It's positive because there are two negatives, which mean they cancel out.

A factory uses 3/4 of a barrel of raisins in each batch of granola bars. Yesterday, the factory
used 1 1/2 barrels of raisins. How many batches of granola bars did the factory make
yesterday?

Answers

Answer:

Step-by-step explanation:

3/4 * 2 = 1 1/2

The factory made two batches of granola bars.

Please answer me<br />bis two fifths of c.<br />4a = 30<br />Work out the ratio a:b:c<br />Give your answer in its simplest form where a, b and c are integers.​

Answers

b is two fifths of c, so we make this a ratio with c = 1.

The ratio of b:c is 2/5 : 1

We also have 4a = 3c, rewrite this ratio so c is 1 by dividing both sides by 4,

so we get the ratio of a to c as 3/4 : 1

Now we get the a:b:c ratio of 3/4 : 2/5 : 1 now we can change the fractions to whole numbers, first by multiplying the 3 numbers by 4 to get get rid of the denominator of 4 in a:

3 : 8/5 : 4

Now multiply the 3 numbers by 5 to remove the denominator  of 5 in b:

15 : 8 : 20

Now we can check using the equations:

b is 2/5 of c:  20 x 2/5 = 40/5 = 8 This is true.

4a = 3c: 4(15) = 3(20) = 60 = 60, this is also true.

The ratios is 15 : 8: 20

£ represents 29 students in class
B represents students who have a brother
S represents students who have a sister
a) One student from the class is chosen at random. What is the probability that the student has a sister?
b)One of the students who has a brother is chosen at random. What is the probability that this student has a sister?​

Answers

Answer:

a) One student from the class is chosen at random. What is the probability that the student has a sister?

S/£

b)One of the students who has a brother is chosen at random. What is the probability that this student has a sister?​

BS/£²

Step-by-step explanation:

In the question, we are given the following values:

£ represents 29 students in class = Total number of students in the class.

B represents students who have a brother

S represents students who have a sister

The formula for probability = Number of events ÷ Number of possible outcomes.

a) One student from the class is chosen at random. What is the probability that the student has a sister?

Number of events = Number of students that have a sister = S

Number of possible outcomes = £ represents 29 students in class

The probability that the student has a sister = S/£

b)One of the students who has a brother is chosen at random. What is the probability that this student has a sister?​

This is calculated as

The Probability of Students that have a brother and a sister = Probability of students that have a brother × Probability of student that have a sister.

Number of students that have a brother = B

Number of students that have a sister = S

The Probability of Students that have a brother and a sister = B/£ × S/£

= BS/£²

Answer:

a) 14/29

b) 4/11

Step-by-step explanation:

You forgot to add the Venn diagram

7+4+2x+X+3 =29

14 +3x= 29

3x = 15

X = 5

2*5=10

10+4=14

5+3=8

14/29

I hope this helps you :D

Have a good day

Rao's Finance claims that less than 50% of adults in Suva have a will. A will is a legal document that sets forth your wishes regarding the distribution of your property and the care of any minor children. If you die without a will, those wishes may not be carried out. To substantiate the claim, a random sample of 1000 adults showed that 450 of them have a will. A. At the 5% significance level, can you conclude that the percentage of people who have a will is less than 50%? B. What is the Type I error in part A? What is the probability of making this error? C. What would your decision be in part A if the probability of making a Type I error were zero? Explain.

Answers

Answer:

See the explanation below.

Step-by-step explanation:

n = sample size = 1000

X = proportion of adults that a will = 450 / 1,000 = 0.45

P-value = 0.5

a = level of significance = 5%, or 0.05

A. At the 5% significance level, can you conclude that the percentage of people who have a will is less than 50%?

Our hypotheses are:

Null hypothesis: u ≥ 0.5

Alternate hypothesis: u < 0.5

Since this indicates a left tailed test, the decision rule is to reject null hypothesis if p-value is less than the level of significance.

[tex]Z = test statistic = \frac{0.45 - 0.5}{0.5/\sqrt{1,000} }[/tex]

Z =  - 0.05 / 0.0158113883008419 = - 3.1623

Using the excel function NORMSDIST(-3.1623), we have:

P- value = 0.000782701129001276, approximately 0.0008

Therefore, null hypothesis is rejected at 5% level of significance since the p-value 0.0008 is less than 5%, or 0.05.

Therefore, there is an enough reason to reject null hypothesis.

B. What is the Type I error in part A? What is the probability of making this error?

Since the probability is greater than 50%, the Type I error is therefore the statement in the question that less than 50% of adults have a will.

Also, the probability of making this Type I error is the 5% level of significance.

C. What would your decision be in part A if the probability of making a Type I error were zero?

The null hypothesis will be rejected if the probability of making a Type I error were zero in part A.

What is the answer? Plz need help

Answers

30x and 12 have a common factor of 6.   So yes, this might have been the result of distributing the 6 in

6(5x - 2)

Answer:

30x - 12 = 2(15x - 6)

30x - 12 = 3(10x - 4)

30x - 12 = 6(5x - 2)

Step-by-step explanation:

30 and 12 have these factors in common: 2, 3, 6

There are three possible answers.

30x - 12 = 2(15x - 6)

30x - 12 = 3(10x - 4)

30x - 12 = 6(5x - 2)

What is the axis of symmetry?

Answers

Answer:

(-1,-4)

Step-by-step explanation:

that's the answer

Find the probability.

6) A cooler contains twelve bottles of sportsdrink: three lemon-lime flavored, fourorange flavored, and five fruit-punchflavored. You randomly grab a bottle. Then you return the bottle to the cooler,mix up the bottles, and randomly selectanother bottle. Both times you get alemon-lime drink.

7) You select two cards from a standardshuffled deck of 52 cards. Both selectedcards are diamonds. (Note that 13 of the 52cards are diamonds.)

Answers

Answer:

The Probability of getting lemon drink on both draws  is 1/16

The Probability of getting diamond on both cards is 1/17

Step-by-step explanation:

1)

No. of lemon-lime flavored bottle = 3

No. of orange flavored bottle = 4

No. of fruit punch flavored bottle = 5

Total bottles = 12

We are given that  You randomly grab a bottle. Then you return the bottle to the cooler,mix up the bottles, and randomly select another bottle. Both times you get a lemon-lime drink.

Probability of getting lemon drink on both draws with replacement =[tex]\frac{3}{12} \times \frac{3}{12} = \frac{1}{16}[/tex]

So, The Probability of getting lemon drink on both draws  is 1/16

2)

No. of diamond cards = 13

Total cards =52

Probability of getting diamond on first card = [tex]\frac{13}{52}[/tex]

Probability of getting diamond on second card =[tex]\frac{12}{51}[/tex]

Probability of getting diamond on both cards = [tex]\frac{13}{52} \times \frac{12}{51}=\frac{1}{17}[/tex]

So, The Probability of getting diamond on both cards is 1/17

Which is a name for the angle shown? Select all that apply

Answers

Answer:

D

Step-by-step explanation:

Well, the angle is an acute angle and <CDE is what would connect to make an acute angle. Easy.

The name for the angle shown is  ∠D and ∠CDE.

What is Coordinate system?

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

An angle is formed when two straight lines or rays meet at a common endpoint.

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Angles formed by two rays lie in the plane that contains the rays.

Angles are also formed by the intersection of two planes.

The name of the angle are ∠D and ∠CDE.

Hence, the name for the angle shown is  ∠D and ∠CDE.

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Evaluate.Remember Order of Operations!PEMDAS)100 = 5 x(4 + 2) population density is the ___________ of organisms in a given __________. What is the volume of the cone below? Identify the country which laid claim to Madagascar Write an equation in slope-intercept form for the line that passes through (5,2) and is perpendicular to the line described by y=5/3x+2. A store display shows two red shirts, one blue shirt, and three shirts with red and white stripes. The display also shows two pairs of blue jeans, one pair of white pants, and one pair of white shorts. What is the probability of randomly selecting an item with white or red on it? A) 1/4 B) 3/10 C)1/2 D) 7/10 Which word is a SYNONYM for the word variation? BRAINLIEST PLEASEEE HELP BY 3:30 Writing: write 4 sentences about what you and others (friends, family, etc.) used to do back when you were a child. Remember the endings if its an -AR verb (-aba, -aba, -abas). Remember the endings if its an -ER or -IR verb (-a, -as, -a). Remember the three irregular verbs in the imperfect: ir (-iba, -ibas), ser (-era, -eras), ver (vea, veas)Example: Cuando era nia, mi madre trabajaba como enfermera. (Translation: When I was a child, my mother worked as a nurse) PLEASE WRITE 4 SENTANCES FOR ME IN SPANISH The concrete company pours 8 sections of sidewalk each of which is 2 5/6 feet long. What is the length of the entire sidewalk that the concrete company pours The data below shows numbers of hours mes Daz volunteered at the library each month for eight months. 20,12,27,23,18,20,30,26. the mean of the data is 22 hours. What is the mean absolute deviation of the data? What is the measure of theta in radians?Enter an exact expression. Which math sentence can be used to determine if this triangle is a right triangle?Side 12Side 15Side 1812+ 15 = 18122+ 152 = 18212+18 = 15122+ 182 152 The overall central idea of the passage is the significance of Zora Neale Hurston during the Harlem Renaissance. How is this central idea developed throughout the passage If an author/speaker has included sufficient evidence into her writing, that meansthat she hasA. misled the reader a bitB. included enough/adequate evidence to make a point clearC. included little to no evidence to support her pointD.provided a counterargument A bottle contains 3 red marbles, 5 blue marbles and 2 green marbles. If a single marble is drawn from the bottle at random, what is the probability that the marble is green? Question 25......................................................... What are three examples of acid-base reactions in cooking As used in paragraph 3, what does the word zeal suggest about Akakiy? * the price increase of a set of golf clubs is from $250 to $750. What is the percent increase? Which factor was most important to the increase in Roman infrastructure projects during the Pax Romana?A. the invention of concreteB. the new Roman tax systemc. the use of Greek mathematical ideasD. the rediscovery of Egyptian architecture