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Lemur [1.5K]
4 years ago
6

Please help with algebra problem

Mathematics
1 answer:
Leno4ka [110]4 years ago
4 0
To solve this problem you must aplpy the proccedure below:

 1. You have that the lab technician mixed 520 ml solution of water and alcohol and 3% is alcohol. 

 2. ml of alcohol:

 520 ml----100%
           x----3%

 x=3x520/100
 x=15.6 ml

 3. ml of water:

 y=520 ml-15.6 ml
 y=504.4 ml

 14. Therefore, as you can see, the answer is:

 15.6 ml of alcohol and 504.4 ml of water were used by the lab technician.
 
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That would be 78 63/100. 




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3 years ago
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babymother [125]

From the given discrete distribution, we have that:

\mu = 2.13, \sigma^2 = 0.61, \sigma = 0.78

<h3>What are the mean, the variance and the standard deviation of a discrete distribution?</h3>
  • The mean of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
  • The variance is given by the sum of the difference squared between each observation and the mean, divided by the number of values.
  • The standard deviation is the square root of the variance.

In this problem, the distribution is:

P(X = 1) = \frac{2}{8}

P(X = 2) = \frac{3}{8}

P(X = 3) = \frac{3}{8}

Hence, the mean is:

\mu = 1\frac{2}{8} + 2\frac{3}{8} + 3\frac{3}{8} = \frac{17}{8} = 2.13

The variance is:

\sigma^2 = (1-2.13)^2\frac{2}{8} + (2-2.13)^2\frac{3}{8} + (3-2.13)^2\frac{3}{8} = 0.61

The standard deviation is:

\sigma = \sqrt{0.61} = 0.78

More can be learned about discrete distributions at brainly.com/question/24855677

4 0
2 years ago
What is the value of A when we rewrite 3.14^159x as A^x?
slavikrds [6]

The rule we'll use is

p^(q*r) = (p^q)^r

The exponents have been rearranged a bit.

In this case, p = 3.14, q = 159 and r = x, so,

p^(q*r) = (p^q)^r

3.14^(159*x) = (3.14^159)^x

This is in the form A^x with A = 3.14^159

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3 years ago
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Ad libitum [116K]

Answer:

A

Step-by-step explanation:

The base of the larger triangle is <em>twice as large</em> as the smaller one: <em>6 v 3 --> 6 : 3 --></em> 2 : 1.

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You babysit to make a little extra money. You charge $12 an hour and earned $180 by the end of the month. How many hours did you
BabaBlast [244]

Answer:

The equation is 12x=180. You worked for 15 hours.

Step-by-step explanation:

Do 12x=180 then divide by 12. You get x=180/12. Then simplify

4 0
3 years ago
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