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UNO [17]
3 years ago
12

What is 0.05 repeating as a fraction ?

Mathematics
1 answer:
grin007 [14]3 years ago
8 0
This is the best I got Require to make 2 equations with the same repeating part and subtract them to eliminate the repeating part.

begin by letting x = 0.5555555................. (1)

To obtain the same repeating part after the decimal point need to multiply by 10

hence 10x = 5.555555........................(2)

It is important to obtain 2 equations in x, where the recurring part after the decimal points are exactly the same.

now subtract (1) from (2) to obtain fraction

(2) - (1) : <span>9x=5⇒x=<span><span>59</span></span></span>

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If x=9 and y=−3, evaluate the following expression:20−5y+2x
pentagon [3]

Answer:

53

Step-by-step explanation:

20-5y+2x

20-5(-3)+2(9)

20--15+18

cancel out the negative signs

20+15+18

=53

4 0
3 years ago
Read 2 more answers
According to Padgett Business Services, 20% of all small-business owners say the most important advice for starting a business i
elena-s [515]

Answer:

a) There is a 6.88% probability that none of the owners would say preparing for long hours and hard work is the most important advice.

b) There is a 1.93% probability that six or more owners would say preparing for long hours and hard work is the most important advice.

c) There is a 10.32% probability that exactly five owners would say having good financing ready is the most important advice.

d) The expected number of owners who would say having a good plan is the most important advice is 2.28

Step-by-step explanation:

Questions a), b), c) are all solved as binomial distribution problems.

Question d) is a simple calculation.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

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

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

And \pi is the probability of X happening.

For these problems

12 business owners were contacted, so n = 12.

a. What is the probability that none of the owners would say preparing for long hours and hard work is the most important advice?

20% of all small-business owners say the most important advice for starting a business is to prepare for long hours and hard work, so \pi = 0.2.

That is P(X=0) when \pi = 0.2.

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 0) = C_{12,0}.(0.2)^{0}.(0.8)^{12} = 0.0688

There is a 6.88% probability that none of the owners would say preparing for long hours and hard work is the most important advice.

b. What is the probability that six or more owners would say preparing for long hours and hard work is the most important advice?

20% of all small-business owners say the most important advice for starting a business is to prepare for long hours and hard work, so \pi = 0.2.

This is:

P = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12)

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 6) = C_{12,6}.(0.2)^{6}.(0.8)^{6} = 0.0155

P(X = 7) = C_{12,7}.(0.2)^{7}.(0.8)^{5} = 0.0033

P(X = 8) = C_{12,8}.(0.2)^{8}.(0.8)^{4} = 0.0005

P(X = 9) = C_{12,9}.(0.2)^{9}.(0.8)^{3} = 0.00006

P(X = 10) = C_{12,10}.(0.2)^{10}.(0.8)^{2} = 0.000004

P(X = 11) = C_{12,11}.(0.2)^{11}.(0.8)^{1} = 0.0000002

P(X = 12) = C_{12,12}.(0.2)^{12}.(0.8)^{0} = 0.000000004

So:

P = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) = 0.0155 + 0.0033 + 0.0005 + 0.000006 + 0.000004 + 0.0000002 + 0.000000004 = 0.0193

There is a 1.93% probability that six or more owners would say preparing for long hours and hard work is the most important advice.

c. What is the probability that exactly five owners would say having good financing ready is the most important advice?

Twenty-five percent say the most important advice is to have good financing ready, so \pi = 0.25

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 5) = C_{12,5}.(0.25)^{5}.(0.75)^{7} = 0.1032

There is a 10.32% probability that exactly five owners would say having good financing ready is the most important advice.

d. What is the expected number of owners who would say having a good plan is the most important advice?

Nineteen percent say having a good plan is the most important advice, so that is 0.19*12 = 2.28

The expected number of owners who would say having a good plan is the most important advice is 2.28

4 0
3 years ago
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Dmitrij [34]
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Please help me work this problem
mario62 [17]

Answer:

13a

Step-by-step explanation:

9a + 3a + a = 13a

7 0
3 years ago
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3. 8x + 4y<br>24 and 6x + 6y = 6​
anzhelika [568]

Answer:

x and y

Step-by-step explanation:

Variables are always the numbers that're replaced with a letter. For example, in the equation:

2t+6

t would be the variable.

Hope this helps!! <3 :)

5 0
3 years ago
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