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SOVA2 [1]
3 years ago
8

For the data that are shown on the graph below, which best describes within which range of x-values extrapolation occurs? On a g

raph, points are at (0, 15), (1, 17), (3, 18), (4, 20) and (6, 22). x greater-than 6 x less-than 0 and x greater-than 6 x less-than 0 and x greater-than 10 x greater-than-or-equal-to 0 and x less-than-or-equal-to 6 Mark this and return
Mathematics
1 answer:
aalyn [17]3 years ago
7 0

Given:

On a graph, points are at (0, 15), (1, 17), (3, 18), (4, 20) and (6, 22).

To find:

The range of x-values extrapolation occurs.

Solution:

Consider the below figure attached with this question.

From the graph or given points it is clear that the x-values are 0, 1, 3, 4, 6.

It means the x-values are from 0 to 6.

So, the range of the x-values is x\geq 0 or x\leq 6.

The required compound inequality for the range of x-values is 0\leq x\leq 6.

Therefore, the correct option is D.

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The accompanying data contains the depth​ (in kilometers) and​ magnitude, measured using the Richter​ Scale, of all earthquakes
Sunny_sXe [5.5K]

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

4 0
4 years ago
What is the answer for number 8 and pls give step by step
Pie

Answer:

Trapezoid 1 (left side):

Base 1 = 2

Base 2 = 5

Trapezoid 2 (right side):

Base 1 = 6

Base 2 = 8

Step-by-step explanation:

<u>1st trapezoid:</u>

b_1 = x

b_2 = x + 3

h = 4

Hence, area (from formula) would be:

A=\frac{h}{2}(b_1+b_2)\\A=\frac{4}{2}(x+x+3)\\A=2(2x+3)\\A=4x+6

<u>2nd trapezoid:</u>

b_1 = 3x

b_2 = 4x

h = 2

Putting into formula, we get:

A=\frac{h}{2}(b_1+b_2)\\A=\frac{2}{2}(3x+4x)\\A=1(7x)\\A=7x

Let's equate both equations for area and find x first:

4x+6=7x\\6=7x-4x\\6=3x\\x=\frac{6}{3}\\x=2

We can plug in 2 into x and find length of each base of each trapezoid.

Trapezoid 1 (left side):

Base 1 = x = 2

Base 2 = x + 3 = 2 + 3 = 5

Trapezoid 2 (right side):

Base 1 = 3x = 3(2) = 6

Base 2 = 4x = 4(2) = 8

8 0
3 years ago
If you have 8 marbles in the bag (5 blue and 3 green) and you draw 2 with replacement, what is the theoretical probability that
Readme [11.4K]

Answer:

d.39%

Step-by-step explanation:

Loki told me

But really, 39% should be correct

3 0
3 years ago
The equation for the rollercoaster before is f(x)=-0.2x^2-2x
katovenus [111]

??? The answer is not able to be found for the fact that there are 3 numbers all coming from x.

7 0
3 years ago
O
vichka [17]

Answer:

4.) ET is perpendicular to plane BAT

Step-by-step explanation:

4 0
3 years ago
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