After a series of rainy days, a meteorologist wants to compare the average daily rainfall over the past week between two cities. The daily rainfall totals, in inches, for both cities are given below.

City A = 1.6, 3.8, 2.2, 0.4, 3.4, 2.6, 1.5
City B = 1.2, 4.5, 0.9, 3.6, 2.1, 1.1, 1.3

Which of the following statements are true regarding the data sets above?

I. The mean rainfall of city A is greater than the mean rainfall of city B.
II. The median rainfall of city B is half the median rainfall of city A.
III. The range of rainfall amounts for city A is greater than the range of rainfall amounts for city B.
IV. The median rainfall is less than the mean rainfall for both cities.

II and III

I and III

I and IV

II and IV

Answers

Answer 1

Answer:

I and IV

Step-by-step explanation:

Answer 2

Answer:

I and IV

Step-by-step explanation:

In order to compare the two data sets with the given statements, find the mean, median, and range for each data set.

First, to compare the mean rainfall of the two cities, find the average of each city's inches of rainfall. To find the average, add up the data points and divide by the total number of points, which is 7.

Since the mean of city A is 2.21 and the mean of city B is 2.1, the mean rainfall of city A is greater than the mean rainfall of city B.

Next, determine the median rainfall for each city. To find the median of the data sets, list the data in order of least to greatest and find the middle term.

Hence, the median of city A is 2.2 and the median of city B is 1.3, so the median rainfall of city B is not half the median rainfall of city A.

In order to compare the ranges of rainfall, find the difference between the minimum and the maximum rainfall amounts for each city.

So, the range of rainfall amounts for city A is less than the range of rainfall amounts for city B.

Therefore, the statements which are true regarding the given data sets are I and IV.


Related Questions

You have $138 in a savings account and save $12 per week. Your friend has $98 in a savings account and saves $17 per week. How many weeks will it take for you and your friend to have the same balance?​

Answers

Solution

Provided :-

• I have $138

• I save $12 per week

• Friend have $ 98

• He saves $17 per week

Let the number of weeks required to have same balance be x

→ 138 + 12x = 98 + 17x

→ 138 - 98 = 17x - 12x

→ 40 = 5x

→ x = 8

So we need 8 weeks

Answer: 8 weeks

Step-by-step explanation:

Let x = the number of weeks

138+12x=98+17x

 40+12x=17x

        40=5x

          x=8

Hope this helps!! :)

Please let me know if you have any question

Pls help ASAP I will give Brainlyist

Answers

Answer:

A

Step-by-step explanation:

I hope this helps you

what is 67 divided by 4.7? round to the nearest hundredth. ​

Answers

Answer:

14.26

Step-by-step explanation:

brainliest plz

Why can’t you use the product of powers rule to simplify this expression? Explain. 34 · 28

Answers

Sample Answer: To use the product of powers rule, the powers must have the same base. In this expression, the bases are 3 and 2, which are different, so the rule does not apply.

Answer:

To apply the product of powers rule, the bases must be the same.

In this example, the bases are 2 and 3, so they are not the same.

Step-by-step explanation:

The coordinates of the midpoint of GH¯¯¯¯¯¯¯¯are M(−132,−6) and the coordinates of one endpoint are G(−4, 1).

Answers

Answer: (-260, -13)

Step-by-step explanation:

To find the midpoint  of  a line we find the average of x coordinates and the average of the y coordinates.So since two  of the endpoint is already given we could find the midpoint  by setting and equation up.

[tex]\frac{-x+(-4)}{2} = -132 x= -260[/tex]  

The same way for the  y coordinates

[tex]\frac{y+(1)}{2} = -6[/tex]     y = -13

The Roe family of four showers once a day with an average of 10 minutes per shower. The shower has a flow rate of 5 gallons per minute. How many gallons of water does the family use in one year?

Answers

4 people x 10 minutes each = 40 minutes per day.

5 gallons per minute x 40 minutes = 200 gallons per day.

200 gallons per day x 365 days per year = 73,000 gallons a year.

Simplify the following algebraic expression:


- 2(x - 1) + 3(6x – 7)

Answers

Answer:

16x-19

Step-by-step explanation:

Step-by-step explanation:

Hey, there!

While simplifying the algebraic expression you must remember: multiply or take LCM first and then add or or subtract like terms then if there is division then you may cut like terms of numerator and denominator.

Here,

[tex] - 2(x - 1) + 3(6x - 7)[/tex]

Is given.

Multiply (x,-1) by -2 and (6x,-7) by 3.

[tex] (- 2x + 2) + (18x - 21)[/tex]

open brackets.

[tex] = - 2x + 2 + 18x - 21[/tex]

Add and subtract like terms.

[tex] = - 2x + 18x + 2 - 21[/tex]

[tex] = 16x - 19[/tex]

Therefore, the answer is (16x - 19).

Hope it helps.....

Can anyone help?i been going at this for a while and i still cant figure it out, i dont really understand how to even get the answer id appreciate some help :D

Answers

Answer:

A) 44.26

B) 9.43

C) (2.5,3.5)

D) OH

E) 26.26

Step-by-step explanation:

Let’s figure out the lengths first.  Three are straight line, so are easy:

HE=9, SE=11, SU=9

The other two, you need to use the distance formula or Pythagorean Theorem. OH=8²+5²=c² = 64+25=c² = 89=c² = √89 = 9.43

OU=3²+5²=c² = 9+25=c² = 34=c² = √34 = 5.83

Now we can start answering the questions.

A) 9+11+9+9.43+5.83=44.26

B) 9.43

C) You already have: (2.5,3.5)

D) OH=9.43.  EH=9.  OH is longer.

E) HU is 11. OH is 9.43.  OU is 5.83.  11+9.43+5.83=26.26

C is the midpoint of BD . If CD = 2x and BD = 3x + 5, what is CD?

Answers

2x+2x=3x+5
4x=3x+5
x=5
CD = 5

Because C is the midpoint, CD would be half of BD. To find the full length of the segment BD you have to add the length of Cb and CD. Since CD is half you just double it. CB is the same length as CD. Because CB and CD together are the same as BD you make 2x+2x equal BD which is 3x+5. Once you have the equation you solve for x by adding 2x and 2x to get 4x. Then you subtract 3x from both sides to get x=5.

Shay makes 24 liters of homemade vegetable stock. She distributes the stock equally into 8 containers to give to friends and family. How much vegetable stock is in each container?

Answers

Answer:

3 liters

Step-by-step explanation:

24/8 = 3

Answer:

Step-by-step explanation:

what are you so most to do on this answer

9=7d+8(9-2d)

A d=-1/9

B d=-9

C d=7

D=1/7

Answers

[tex]9=7d+8(9-2d)\\9=7d+72-16d\\9=-9d+72\\-72+9=-9d\\-63=-9d\\d=7[/tex]

Also for the 8(9-2d), simplify by multiplying the 8 into the (9-2d) as we get (8*9)-(8*2d) = 72-16d

Therefore, the answer is d = 7 aka C.

algebra 1 I need help ​

Answers

There's a bit of lack of context but I think the question is just asking what variables to put in for Lucy and Howard. There seems to be no need to answer any math problem.

I suggest using the variables x and y or l for Lucy and h for Howard. Remember to use lowercase letters.

Solve using order of operations
Problem #1: 5 + 8: 2 - 7
Problem #2:12 X 3 - 42 + 20
Problem #3:4 :1 +8 X 2
Problem #4:17 x 3 + 15 : 3

Answers

1. 2
2. 14
3. 20
4. 56
if the : means something other than division then these r wrong sorry

You are planning to plant a triangular garden in your backyard, as shown. You plan to put up a fence around the garden to keep out animals. Find the length of fencing you need to the nearest meter.

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete has the figure of the triangle is not given.

However, the following steps will guide you.

To solve this question;

you need the lengths of the threes sides of the triangular fields

Represent these lengths with a, b and c

Next;

Sum these lengths together;

This gives the required length of fencing

[tex]Length = a + b + c[/tex]

Take for instance;

[tex]a =4;\ b = 3;\ c = 5[/tex]

The required length of fence would be

[tex]Length = 4 + 3 + 5[/tex]

[tex]Length = 12\ units[/tex]

Apply these steps and you'll get your answer

What is 3 + (-9) in integers

Answers

Answer:

- 6

Step-by-step explanation:

3 - 9 = -6

Answer:

-6

Step-by-step explanation:

[tex]3 + (-9) \\\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\\=3-9\\\\\mathrm{Subtract\:the\:numbers:}\:3-9\\=-6\\[/tex]

Connor is driving on a long road trip. He currently has 9 gallons of gas in his car. Each hour that he drives, his car uses up 2 gallons of gas. How much gas would be in the tank after driving for 3 hours? How much gas would be left after

Answers

Answer: 3 gallons

Step-by-step explanation:

From the question, we are informed that Connor is driving on a long road trip and currently has 9 gallons of gas in his car. We are also told that for every hour that he drives, his car uses up 2 gallons of gas.

After driving for 3 hours, his car would have used:

= 3 × 2 gallons

= 6 gallons of gas

Amount of gas left will be:

= 9 gallons - 6 gallons

= 3 gallons

Ali has x cards.
Belinda has twice as many cards as Ali.
Charlie has 5 more cards than Ali.
They have a total of 33 cards.
(a) Show that 4x + 5 = 33
(b) Work out the number of cards Ali has.

Answers

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

If Ali has x cards, then Belinda has 2x cards.

If Ali has x cards, then Charlie has x+5 cards.

2x (Belinda) + x+5 (Charlie) + x (Ali) = 33 (total)

2x + x+5 + x = 33

Now simplify the equation... x+x+5 can be simplified as 2x+5.

2x+5 plus 2x can become 4x+5.

So their total number is 4x+5.

So 4x+5=33.

You want to isolate the variables and numbers.

To remove the 5 from the left side, subtract 5 from both sides.

4x+5-5=4x - 33-5=28

So the equation now is 4x=28

To remove the 4, divide each side by 4.

4x÷4=x - 28÷4=7

So x equals 7, Ali has 7 cards.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Hey mate
Here is tour answer!

Can someone just tell me the answer you don’t have to explain it pleaseeeeee for #13 And #15

Answers

Answer:

13) (-5,1)

Step-by-step explanation:

Examples: Name the sets of numbers to which each number belongs.​

Answers

Answer:
a) Integers, real, rational, whole
b) irrational real
c) rational real

explanation:
A square root with a non repeating decimal is irrational.
All numbers are real numbers.
A terminated fraction or decimal is rational.
Whole numbers are not fractions or decimals.
Integers can go on a number line.

3.48 gallons of milk is sold for $10.16. If you want to buy 10.83 gallons of milk, how
much will you have to pay?

Answers

Answer:

  $31.62

Step-by-step explanation:

Assuming the price is proportional to the volume, your price will be ...

  price/(10.83 gal) = ($10.16)/(3.48 gal)

  price = $10.16(10.83/3.48) ≈ $31.62

You will have to pay $31.62.

breifly describe the rules of multiplying and dividing integers

Answers

Answer:

Just multiply the absolute values and make the answer positive. When you multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative. When you divide two integers with the same sign, the result is always positive.

Step-by-step explanation:

Step-by-step explanation:

in multiplication:-

- × - = +

+ × - = -

- × + = -

+ × + = +

Plz help fast only given 5 mins tell if they are similar or not

Answers

Answer:

They are not similar.

Step-by-step explanation:

QP would be equal to FP if they were equal but they aren't equal so....yeah

Tanya walked for 17 minutes from her home to a friend that lives 1.5 kilometers away. D(t) models Tanyas remaining distance to walk in kilometers, T minutes since she left home. what number type is more appropriate for the domain

Answers

Answer:

Real numbers

0≤ t ≤17

Step-by-step explanation:

Answer:

Real numbers

0≤ t ≤17

Step-by-step explanation:

I
5. A shirt that you want to buy costs
$15.50. You can use a $5 discount
coupon if you spend at least $20.
Write and solve an inequality that
represents how much more you
must spend to use the $5 coupon.

Answers

The answer is 30 like if u got the right answer

What type of answer would you expect from the problem below? Explain why you expect that type of answer.

Answers

Answer:option 1

Step-by-step explanation:

Answer:

first one

Step-by-step explanation:

-3 3/5 x (-8 1/3)= ;-;just write the answer no need to explain. I'm tryna cheat on I-ready and I'm too lazy to do this in my head ;w;.

Answers

the answer is 30( -3 3/5*(-8 1/3

Please help solve! I tried but I’m messing this up, would really appreciate it!

Answers

Answer:

K = [tex]\frac{4r}{n} -a[/tex] n [tex]\neq 0[/tex]

Step-by-step explanation:

We have our equation [tex]r = \frac{n}{4} (a+K)[/tex] and are looking for K

First we have to switch sides :

[tex]\frac{n}{4} (a+K) = r[/tex]

Since we have a denominator of 4, we multiply both sides by 4 :

[tex]n (a+K) = 4r[/tex]

We then divide both sides by n :

[tex]a+K = \frac{4r}{n} ; n\neq 0[/tex]

Subtract a from both sides :

[tex]K = \frac{4r}{n} -a; n\neq 0[/tex]

^^^

A map is created of Maricopa County with a scale factor of 1 inch = 2.5 miles. The distance between Phoenix and Fountain Hills is 2.92 inches on the map. Determine the actual distance between the two cities.

Answers

Answer:

The actual distance between Phoenix and Fountain Hills is 7.3 miles

Step-by-step explanation:

We note that the scale factor gives the ratio of the map reading to the actual distance reading

The scale factor of the map is 1 inch = 2.5 miles

The distance between Phoenix and Fountain Hills = 2.92 inches on the map

Let the actual distance between Phoenix and Fountain Hills = D, we have;

D/(2.92 inches) = 2.5 miles/inch

Therefore;

D = 2.92 inches ×  2.5 miles/inch = 7.3 miles

D = 7.3 miles

The actual distance between Phoenix and Fountain Hills = D = 7.3 miles.

Sarah is driving her car down George Street to meet her friend at a cafe. What is the angle of the turn she needs to make on to Green Street to get to the cafe?​

Answers

Answer:

100 degrees

Step-by-step explanation:

George Street I assume is the one with the red line.

So she has to turn 40 + 60 = 100 degrees to go to Green Street

Can someone please help me

Answers

Answer:

15.231

Step-by-step explanation:

Other Questions
What is the plural form of el color Which of the following actions will help ease agency conflicts and better align managers objectives with the firms shareholder wealth?a. Pay the manager a large base salary with a huge stock option package that matures on a single date. b. Pay the manager a combination of salary and stock options (phased in over several years) that reward him or her for consistently increasing shareholder wealth. In addition to well-designed executive compensation packages, other motivational forces can align the interests of managers with those of their shareholders. Which of the following actions could be used to reduce the potential for these agency conflicts and ensure that the firm's managers will pursue the long-term wealth interests of their shareholders? a. Let the manager know that he or she will be fired if the company's stock does not reach a certain target by the end of the year. b. Let the manager know that a takeover is possible if he or she doesn't perform well. Match each of these High Renaissance masters with one of his most famousworks.A. Adoration of the magi B. The last judgement C. The Alba Madonna 1. Da Vinci 2. Michelangelo 3. Raphael what is chemical safety? I need some help on this... prepare a dialogue on the topic need of sustainable development Give an example of a function with both a removable and a non-removable discontinuity. Which form of county government has legislative power that is limited by the state government The book of Lamentations is an anonymous composition but early tradition identifies ___________ as the author of the book. A small, test batch of lemonade used 1/4 cups of sugar added to 1 cup of water and 1/4 cup of lemon juice. After confirming it tasted good, a larger batch is going to be made with the same ratios using 10 cups of water. How much sugar should be added so that the large batch tastes the same as the test batch? "A municipal bond dealer quotes an 8 year 6% bond trading in the secondary market on a 4% basis. After considering all taxes, the customer's yield will be:" T y yo __________________________ el chicle en el gimnasio ayer. (esconder)Preterito 5. Pick out instances of humour from this extract and comment on the narrator's senseof humour my financial career why do scientists usually try to work without making the animals aware that humans are presentHELP ASAP PLEASE David suffers from a re-gurgitating mitral valve. this condition would cause:_______.a) increased cardiac output from the right ventricle. b) edema in the lower limbs. c) fluid congestion in the lungs. d) decreased heart rate. e) a bruit sound when ausculated with a stethoscope. The chart shows the cost of tuition at a certain state university. Model the data in the chart with a linear function, using the points (1,9941) and (3,11242). Predict the cost of college tuition in 2007-2008. What is the linear model for the data? Y=? If mCDF = (3x + 14), mFDE = (5x 2), and mCDE = (10x 18), find x. Nastyas makes risky investments with 25% of her portfolio and invests the rest of the portfolio in low-variance investments. This is an example of 1) Na abertura das Olimpadas de 2016, realizada no Maracan, cada um dos atletas recebeu uma semente de uma rvore nativa do Brasil. Os esportistas, logo depois que desfilaram pelas delegaes de seus pases, colocaram essas sementes em um recipiente apropriado. Essas 11 mil sementes sero plantadas no Parque Radical de Deodoro. A alternativa que melhor conceitua semente a seguinte: * a) vulo maduro fecundado de plantas pteridfitas e brifitas. b) estrutura que se desenvolveu do ovrio e contm o embrio e reserva de alimento. c) vulo das plantas gimnosperma que ainda no possui um embrio. d) vulo maduro fecundado de plantas gimnospermas e pteridfitas. Find (f-g)(x) Help me please