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kap26 [50]
3 years ago
5

3ln(4x)=13

Mathematics
1 answer:
Kryger [21]3 years ago
5 0
3 * ln 4x = 13 

<span><=> </span>

<span>ln 4x = 13/3 </span>

<span><=> </span>

<span>4x = e^(13/3) </span>

<span><=> </span>

<span>x = e^(13/3) / 4 </span>

<span><=> </span>

<span>x ~ 19.05 </span>
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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
3 years ago
Solve for g.<br> 2(g - 13) = 12<br> g
densk [106]

Answer:

-2

Step-by-step explanation:

4 0
3 years ago
A pet store holds training classes for dogs. The store has two different training programs. The first program charges a $35 memb
GrogVix [38]

The programs cost the same for 7 classes.

Given, no. of classes is represented by c, no. of dogs is represented by d, no. of hours is represented by h, the no. of programs is represented by p and the total cost is represented by t.

The first program charges $35 membership fee and $5 for each class.

The second program charges only $10 for each class.

Now the total cost say t_{1}, for first program can be written in equation form as,

t_{1} =35+5c,  here c is the no. of classes.

Similarly, the total cost say t_{2} , for second program can be written in equation form as,

t_{2} =10c.

We have to find out the no. of classes for which the two programs cost the same.

according to the question,

t_{1} =t_{2}

35+5c=10c\\10c-5c=35\\5c=35\\c=7

Hence for 7 of classes the programs cost the same.

For more details follow the link:

brainly.com/question/4042361

3 0
2 years ago
Read 2 more answers
Please help me due today i really need ur help :(
enyata [817]

Answer:

1) B. $12

2) B. Rich burns 1 more calorie per minute than Katie

3) C. Jeffery walks 5 meters per minute slower than Fumi.

Step-by-step explanation:

1)  earnings / hours = salary

salary = 24/2 = 60/5 = 96/8 = 12

salary = $12

2) The question describes Rich's graph to have the function of "y=8x." The graph shown that represents Katie's number of burned calories has the function of "y=7x." From that we can conclude Rich burns one more calorie per minute. See attached file for graph.

3) The question describes Fumi's graph to have the function of "y=85x." In order to find the function of Jeffrey's graph, we must use the two points provided from the graph. The point (10, 800) tells us that the point (1,80) would also fall on the line. From that, we can determine Jeffery's function to be "y=80x." 80 is 5 less than 85, so Fumi walks 5 meters per minute faster than Jeffery.

4 0
3 years ago
Please help me I don’t understand
postnew [5]

Answer:

$70

Step-by-step explanation:

If the account start with $95, and you deposited $15:

95+15 = $110

After that, you took 65:

110 -65 = $45

After you deposited $40:

45 + 40 = $85

And for last you took more 15:

85 -15 = $70

5 0
2 years ago
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