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Katen [24]
3 years ago
11

For what percentage of time has life existed on earth (round to the nearest whole number).

Mathematics
1 answer:
abruzzese [7]3 years ago
6 0
This is the concept of arithmetic. To calculate the percentage of time life has existed we proceed as follows;
According to history:
The age of earth is 4.6 billion years
the age of life is as it appeared from unicellular is 3.8 billion years.
thus the percentage of the above will be:
3.8/4.6 x 100
=0.82609x100
=82.609%

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Solve this problem please
djyliett [7]

The formula for depreciation is:

y=x(1-r)^t

Where x = Initial value,

y= Amount after depreciation.

r= Rate of depreciation,

t = time (in years)

According to given problem,

x = 1040, y= 944 and t = 12 months =1 year.

So, first step is to plug in these values in the above formula, So,

944 = 1040(1-r)^1

944 = 1040 (1 -r)

\frac{944}{1040} =1-r Divide each sides by 1040.

0.907692308 =1 - r

0.907692308 - 1 = -r Subtract 1 from each sides.

-0.092307692 = -r

So, r = 0.09 or 9%.

Now plug in 0.09 in the above equation to get the depreciation equation. So,

y = x (1- 0.09)^t

So, y = 0.91x^t

b) To find the value of the bike after 5 months,

plug in t = 5 months= 5/12 = 0.41667 years in the above equation of depreciation.

So, y= 1040 *(0.91)^{0.41667}

y = 1040 * 0.961465659

y = 999.9242852

y = 1000 (Rounded to nearest integer).

Hence, the value of the bike after 5 months is $1000.

7 0
3 years ago
Your neighbor has a bag with 5 oranges and 7 apples in it. You will be receiving two pieces of fruit from your neighbor. What is
Snezhnost [94]

Answer:

31.82% probability that you will receive 2 apples.

Step-by-step explanation:

The fruits are removed from the bag, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

5 + 7 = 12 total fruits, which means that N = 12

7 apples, which means that k = 7

You receive 2 fruits, which means that n = 2

What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order?

This is, as a proportion, P(X = 2). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,12,2,7) = \frac{C_{7,2}*C_{5,0}}{C_{12,2}} = 0.3182

0.3182*100% = 31.82%

31.82% probability that you will receive 2 apples.

4 0
3 years ago
Solve for x. *<br> (5x + 13)<br> (9x - 31)
ycow [4]

Answer:

x=11

Step-by-step explanation:

5x+13=9x-31

subtract 9 from both sides.

-4x+13=-31

you want to isolate the x value so subtract 13 from both sides.

-4x=-44

now divide both sides by -4.

x=11

6 0
3 years ago
Simplify picture down Below ​
krok68 [10]

Answer:

x^{2}  

I hope this helps!

7 0
3 years ago
PLEASE HELP ASAP! THANK YOU LOTS! &lt;3
den301095 [7]

Answer:

C

Step-by-step explanation:

12 divided by 3 is 4 and 30 divided by 3 is 10

6 0
3 years ago
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