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
Eduardwww [97]
3 years ago
10

The accompanying data contains the depth​ (in kilometers) and​ magnitude, measured using the Richter​ Scale, of all earthquakes

in a particular region over the course of a week. Depth is the distance below the surface at which the earthquake originates. A one unit increase in magnitude represents ground shaking ten times as strong​ (an earthquake with magnitude 4 is ten times as strong as an earthquake with magnitude​Depth Magnitude0.76 0.844.93 0.478.16 03533.58 1.3221.2 1.6135.03 4.5710.05 5.0247.91 1.99Depth: μ= ___​km ; M=___ km; Range=___km ; σ=___ km ; Q1=___km ; Q3=___km
Magnitude: μ=___​; M=___​; R=____​; σ=_____​; Q1=____; Q3=_____
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
4 0

Answer:

Depth:

μ =20.2025 km

M = 15.625 km

Range = 47.15 km

σ ≈ 15.92 km

Q₁ = 5.7375 km

Q₃ =  34.6675 km

Magnitude:

μ = 2.08375

M = 1.465

Range, R = 5.17

σ = 1.801485 ≈ 1.8

Q₁ = 0.5625

Q₃ = 3.925

Step-by-step explanation:

The given data are;

Depth {}                                 Magnitude

0.76 {}                                    0.84

4.93 {}                                    0.47

8.16 {}                                     0.35

33.58 {}                                  1.32

21.2 {}                                     1.61

35.03 {}                                  4.57

10.05 {}                                   5.52

47.91 {}                                    1.99

For the Depth, we have;

The mean, μ = (0.76+4.93+8.16+33.58+21.2+35.03+10.05+47.91)/8 =20.2025 km

The median, M = The (n + 1)/2th term after arranging the term in increasing order as follows;

0.76, 4.93, 8.16, 10.05, 21.2, 33.58, 35.03, 47.91 , the median is therefore;

(8 + 1)/2th term or the 4.5th term which is 10.05 + (21.2 - 10.05)/2 = 15.625 km

The Range = The highest - The lowest value = 47.91 - 0.76 = 47.15 km

The Standard deviation of, σ, is given as follows;

\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu  \right )^{2} }{N}}

Where;

x_i = The individual data point = (0.76, 4.93, 8.16, 10.05, 21.2, 33.58, 35.03, 47.91 )

N = The total number of data point = 8

Substituting, (using Microsoft Excel) we get;

\sigma =\sqrt{\dfrac{\sum \left (x_i-20.2025  \right )^{2} }{8}} \approx 15.92 \ km

Q₁ = The first quartile = The (n + 1)/4th =  term arranged in increasing order

Q₁ = The (8 + 1)/4th term = The 2.25th term = 4.93 + (8.16 - 4.93)×0.25) = 5.7375 km

Q₃ = The first quartile = The 3×(n + 1)/4th =  term arranged in increasing order

Q₃ = The 3×(8 + 1)/4th term = The 6.75th term = 33.58 + 3×(35.03 - 33.58)×0.25) = 34.6675 km

For the magnitude, we have, using the same formulas and procedures as above;

μ = 2.08375

M = 1.465

Range, R = 5.17

σ = 1.801485 ≈ 1.8

Q₁ = 0.5625

Q₃ = 3.925

You might be interested in
0.5 bigger than 9/18
aleksley [76]
No, 0.5 = 9/18.

9/18 can be simplified to 1/2, which is 0.5

Hope this helped! :)
7 0
3 years ago
Bill was planning a trip to Saudi Arabia. Before going, he did some research and learned that the exchange rate is $1 = 3.7 Riya
solniwko [45]

Answer:

Option D.

Step-by-step explanation:

Exchange rate from Dollars to Riyal is,

1 Dollar = 3.7 Riyals

Bill wants to exchange $11.60 for which we will use the exchange rate.

∵ 1 Dollar = 3.7 Riyals

∴ 11.60 Dollars = 3.7 × 11.60

                        = 42.9 Riyals

Therefore, after exchange of 11.6 Dollars Bill will get 42.9 Riyals.

Option (D) is the correct option.

7 0
3 years ago
I am the largest 7-digit number you can write with the digits 3, 6, 9, 4, 0, 8, and 2
mestny [16]
9864320 is the answer
4 0
3 years ago
What is the volume of 2/5m and 2 4/5m3
Ira Lisetskai [31]

Answer:

Step-by-step explanation:

36 cubic meters

4 0
3 years ago
Simplify the expression using the order of operations.<br><br> (11−8)3−2×6
Rina8888 [55]

Answer:

-3

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • If Babe Ruth average 46 home runs per year, how many home runs did he hit in 12 years?
    11·2 answers
  • This season, Lisa's lacrosse team has won $\frac 23$ of their home games (games played at Lisa's school), but just $\frac 25$ of
    8·1 answer
  • Based on the table of values below, find the slope between points where x = 1 and where x = 4.
    5·2 answers
  • WILL MARK BRAINLIEST A sample of 64 was taken from a population, with the mean of the sample being 119 and the standard deviatio
    13·1 answer
  • The table below shows the distribution of students who speak some Ghanaian languages.
    9·1 answer
  • Heeeeeeelp pleasee pleasee
    15·1 answer
  • 3. Use the diagram of a REGULAR HEXAGON and follow these steps to solve for the area of a hexagon with sides equal to 4 cm. Leav
    12·1 answer
  • For y = 6x + (-2) what is y when x = -1
    14·1 answer
  • The number of calories in a 1-ounce serving of a certain breakfast cereal is a random variable with mean 110 and standard deviat
    5·1 answer
  • Help asap please!!!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!