Austin uses 435.714 milliliters of solution B to get a resulting mixture that has 244 milliliters of pure alcohol.
Step-by-step explanation:
Step 1; Assume solution B has 1x ml of liquid in it. As solution A has three times that of solution B, it has 3x ml of liquid.
Step 2; In solution A there is 12% of alcohol and solution B has 20% alcohol. So alcohol content in solution A is 12% of 3x = 0.12 x 3x and the alcohol content in solution B is 20% of x= 0.20 x 1x.
Step 3; Use this formula
here Volume of solute is the total of solution A and B= (0.12 x 3x) + (0.20 x 1x) which equals 0.56x. The volume of solution is 3x + 1x which equals 4x. Substituting numerator and denominators we get a volume of 14%.
Step 4;This 14% is the concentration of alcohol in the mixture of solution A and solution B which is given as 244 ml. If 14% is 244 ml then 100% equals 1742.857 milliliters. The total of solution A and B equal 4x which is 1742.857 milliliters. So we get solution A has 1307.1428 milliliters and solution B has 435.71428 milliliters of liquid.
The coordinate of point Y such that the ratio of MY to YJ is 2:3 is 6.4
<h3>How to determine the point?</h3>
The complete question is added as an attachment
The coordinates are given as:
M = 2
J = 18
The ratio is given as:
Ratio = 2 : 3
The location of the point Y is then calculated as:
Y = Ratio * (J - M)
This gives
Y = 2/(2 + 3) * (18 - 2)
Evaluate
Y = 2/5 * 16
This gives
Y = 6.4
Hence, the coordinate of point Y such that the ratio of MY to YJ is 2:3 is 6.4
Read more about line segment ratio at:
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Answer:
Step-by-step explanation:
The right answer is "Centi" on apex
<span>the number will be 14. </span>
Answer:
Correct option: A. P=0.057
Step-by-step explanation:
<u>Binomial Distribution</u>
The binomial distribution fits the case of n independent events each one with a probability of success equal to p where k successes have been achieved.
The PMF (Probability Mass Function) of the binomial distribution is
Where 
The individual probability that an electronic device does not function properly is p=0.1. We know n=10 devices have been bought and we want to compute the probability that 7 devices function properly. Please notice that this is not the value of k since p is the probability of failure. The correct value of k=10-7=3. The required probability is
