1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erma4kov [3.2K]
3 years ago
5

Radical Expressions and Data Analysis Unit Portfolio

Mathematics
1 answer:
Gnoma [55]3 years ago
6 0
TASK 1
a) Data and frequency table are attached in picture #1.

b) The histogram is attached in picture #2

c) As the intervals increase the number of pieces of mail received, the frequency decreases, therefore we can say that are received few pieces of mail <span>are received more often.

TASK 2
a) The list of breeds and weights are reported in picture #3. 
</span>
In order to find the mean, sum up all the weights and divide by 9:
m = (<span>8 + 10 + 15 + 29 + 32 + 75 + 77 + 80 + <span>85) / 9 = 45.67 lbs

In order to find the median, you need to select the central value of your distribution: since you have 9 values, the central one will be in the fifth position:
M = 32 lbs

In order to find the mode, you need to select the value which shows more frequently: in this case, every value shows only once, therefore the mode cannot be determined.

The data are best described by the mean because they are almost symmetrically distributed between the least and the biggest values, while the median is more towards the small-weight side of the distribution.
 
b) In order to have an average of 250 lbs, the tenth dog should weight 2089 lbs.

Indeed, if the average is 250 lbs for 10 dogs, it means that the total sum of their weights is 250 × 10 = 2500 lbs. We know that the sum of the first 9 dogs is 411 lbs, therefore, the tenth dog should weight 2500 - 411 = 2089 lbs.

TASK 3
The city picked is Baltimore, the year 2017.
The table is attached in picture #4.
</span></span>
a) The box-and-whisker plot is attached in picture #5.

b) The median is the central value of the distribution, which is: <span> 
42.4, 45.3, 46.8 | 54.7, 57.6, 66.0 | 69.1,  76.5,  80.6 | 85.8, 87.8, 90.0 </span>
where we marked with a tally the quartiles.

Since we have 12 values, the median will be the average between the two central values:
M = (66.0 + 69.1) / 2 = 67.1 °F

c) 7<span>5% of the temperatures are below 83.2 °F.
Indeed, this value represents the third quartile. The position of the third quartile can be found by the formula:
3/4 </span>· (n + 1) = 3/4 · (12 + 1) = 3/4 <span>· 13 = 9.75
Therefore, since we did not get in integer position, the third quartile will be the average between the numbers in position 9 and 10:
q</span>₀.₇₅ = (80.6 + 85.8) / 2 = 83.2 °F

d) 7<span>5% of the temperatures are above 50.8 °F.
Indeed, this value represents the first quartile. Similarly to point c), the position can be found by the formula:
1</span>/4 · (n + 1) = 1/4 <span>· 13 = 3.25
And therefore:
</span>q₀.₂₅ = (<span><span><span>46.8 + </span><span>54.7) / 2 = 50.8 °F.</span></span></span> 

e) Baltimore in 2017 had a median high temperature of 67.1 °F.
25% of the year the high temperatures were warmer than 83.2 °F, with no outlier above 90.0 °F which was the hottest temperature.
25% of the high temperatures were colder than 50.8 °F, with no outlier below 42.4 °F, which was the coldest high temperature.

You might be interested in
Which equation results from adding the equations in this system?
Diano4ka-milaya [45]

Answer:

  • D. - 5x = - 10

Step-by-step explanation:

<u>Given equations:</u>

  • -8x+8y = 8
  • 3x-8y=-18

<u>Add together:</u>

  • -8x + 8y + 3x - 8y = 8 - 18
  • - 5x = - 10

Correct option is D

7 0
3 years ago
sam thought of a number between ten and twenty then sam gave a clue when you count by twos and when you count by threes but not
tatuchka [14]
Sorry I do not know the answer to that
8 0
3 years ago
Help please? its an exam
Nikolay [14]

Answer:

TU=4

Step-by-step explanation:

WU cuts the triangle in half (hint- angleTUW=90°)

so VU=TU

therefore, TU=4

5 0
2 years ago
1/4 of a liter is equal to how many mL
alexandr402 [8]
1 \ liter = 1000 \ mL \\ \\\frac{1}{4} * 1000 = 250 \ mL


8 0
2 years ago
Read 2 more answers
Which is greater : 21/40 or 3/5
vitfil [10]
3/5 is greater because the decimal is .6 while 21/40 is .525
5 0
3 years ago
Read 2 more answers
Other questions:
  • A vertical pole, 40 feet tall, casts a shadow onto the ground. If the angle of elevation from the tip of the shadow on the groun
    12·1 answer
  • Find A ∩ B<br><br> A = {2, 3, 4, 5, 6} B = {3, 6, 9, 12, 15}
    8·2 answers
  • A designer is making a rectangular prism box with maximum volume, with the sum of its length, width, and height 8 in. The length
    6·1 answer
  • In American football, a team can score in the following ways: 2 points for safety, 3 points for a field goal, 6 points for a tou
    7·1 answer
  • If a=mg-kv2/m,find,correct to the nearest whole number the value of v when a=2.8,m=12,g=9.8 and k=8/3
    6·1 answer
  • Choose 3 decimals that are greater than 1⁄2, but less than 1
    6·2 answers
  • Pearl uses 9.8 pints of blue paint and white paint to paint her bedroom walls. 2 5 of this amount is blue paint, and the rest is
    6·1 answer
  • If the cube shown is 7 centimeters on all sides what is the length of the diagonal x.
    10·2 answers
  • What are the three types of triangles, based on ANGLES?<br> Draw an example for each one.
    7·1 answer
  • Express 10/4 as a mixed fraction ​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!