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jeka57 [31]
3 years ago
7

What is the mean of 5, 10, 10, 15, 15, 20

Mathematics
1 answer:
Andreas93 [3]3 years ago
3 0

Answer:

The mean of this set of numbers is 12.5.

Step-by-step explanation:

first add all of the numbers, we get a product of 75, then divide by the number of numbers (6) and we get an answer of 12.5.

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rehistoric cave paintings were discovered in a cave in France. The paint contained 34 % of the original​ carbon-14. Use the expo
Paladinen [302]

Answer:

Therefore the age of paint is 8915.78 years.

Step-by-step explanation:

Given that, the paint contain 34 % of the original carbon-14.

The exponential decay model for carbon-14 is

A=A_0e^{-0.000121t}

A= Remaining amount of carbon.

A_0 = initial amount of carbon.

Here A= 34% of A_0 =\frac{34}{100}A_0

\therefore \frac{34}{100}A_0=A_0e^{-0.000121t}

\Rightarrow \frac{34}{100}=e^{-0.000121t}

Taking ln both sides

\Rightarrow ln|\frac{34}{100}|=ln|e^{-0.000121t}|

\Rightarrow ln|\frac{34}{100}|={-0.000121t

\Rightarrow t=\frac{ln|\frac{34}{100}|}{-0.000121}

\Rightarrow t= 8915.78

Therefore the age of paint is 8915.78 years.

7 0
2 years ago
The table below contains values for a linear relationship. One value from the table is missing.
kifflom [539]

The missing value is -3.

Step-by-step explanation:

Step 1; First, we need to determine the equation relating the x to the y values in the table. y is the dependent value whereas x is the independent value i.e. the value of y depends on the value of x.

Step 2; If we multiply the value of x with -2 and add the resulting answer with 1 we get the value of y.

y = -2x + 1 is the equation that relates the values in the table.

Step 3; Now we substitute the values in the equation

For x = 3, y = -2(3) + 1 = -6 + 1 = -5,

For x = -1, y = -2(-1) + 1 = 2 + 1 = 3,

For x = 0, y = -2(0) + 1 = 0 + 1 = 1,

For x = 2, y = -2(2) + 1 = -4 + 1 = -3,

For x = 4, y = -2(4) + 1 = -8 + 1 = -7,

For x = 7, y = -2(7) + 1 = -14 + 1 = -13.

So the value of y when x = 2 is -3.

8 0
3 years ago
How do you do recursive formulas
Norma-Jean [14]

Answer:

Determine if the sequence is arithmetic (Do you add, or subtract, the same amount from one term to the next?)

Find the common difference.

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
Please help!!!!!!!!!!
Gnoma [55]

Answer:

The surface of the prism is 84m²

Step-by-step explanation:

You have 4 figures here (two the same triangles)

you need to determine the surface of each and then sum it to one. This will be your final surface.

rectangles:

3*6= 18m²

5*6 = 30m²

4*6 = 24m²

triangles:

You need to determine the square of the triangles from the Heron's formula.

Heron's formula states that the area of a triangle whose sides have lengths a, b, and c is

S=\sqrt{s(s-a)(s-b(s-c)},

where s is the semi-perimeter of the triangle; that is,

s=\frac{a+b+c}{2}.

So the permimeter of the triangle is

2p=4+5+3 = 12m

p = 6m

S = \sqrt{p*(p-a)*(p-b)*(p-c)}  = \sqrt{6*(6-3)*(6-4)*(6-5)}  = \sqrt{6*3*2*1} =\sqrt{36} =6[m^{2} ]

So the surface of the prism is a total sum of all surfaces:

P = 18m²+30m²+ 24m²+2*6m² = 84m²

6 0
2 years ago
HELP! What is the greatest common factor of 20a2b2 and 50b3?
GREYUIT [131]
Answer: 10b^2
Good luck.
7 0
2 years ago
Read 2 more answers
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