Answer:
21 liters of the 12% solution and 4 liters of the 37% solution
Step-by-step explanation:
Represent the number of liters of the first solution as x and the second as y. Now, the total liters of iodine is going to be 16% of 25 = 4 liters of iodine, and the total liters of each solution is going to be 25. Now, we can setup two equations:
0.12x+0.37y = 4
x + y = 25
Multiplying the bottom equation by 0.12, we have
0.12x + 0.12y = 3
Subtracting, we have
0.12x+0.37y=4
-
0.12x + 0.12y = 3
= 0.25y = 1
= y = 4
= x = 25 - 4 = 21
Answer:
P(C4) = 0.0711
Step-by-step explanation:
consider the first draw = 15/23 since it cannot be a blue ball
The second draw = 21/29 since 6 more red balls will be added after the draw since a blue ball cannot be drawn
the third draw = 27/35 since 6 more red balls will be added after each draw since a blue ball cannot be drawn
therefore the total number of red balls will be = 15 + 6 + 6 + 6 = 33 red balls after the 4th draw. the total ball now in the urn= 33 red + 4 blue = 41
Hence the probability of drawing a blue ball at the fourth draw after drawing red balls at the previous attempts = 8/41
P(C4) = P ( fourth ball is blue ) * P( first ball red)*P(second ball red) *P(third ball red )
= (8/41) * (15/23) * (21/29)* (27/35) = 0.0711
First, we must calculate the weekly pay of an employee that is paid a fixed amount. Given that there are 52 weeks in a year, the weekly pay for a regularly paid employee is:
67,000 / 52 = $1,288.46
Now, we calculate the number of hours an employee that is paid hourly works per week:
0 + 10 + 8 + 8 + 7 + 6.5 + 4.5 = 44
So this employee is paid:
25 x 40 + 37.5 x 4 = $1,150
Therefore, it is recommended that a new employee goes for the salaried pay since the weekly earnings are greater in this option.
The answer is C<span>.</span>
Answer:
3/2 or 1.5
Step-by-step explanation:
Multiply 3/5 by 2 to make the denominator of both fractions equal.
2 x 3/5 = 6/10
Now that the denominators are equal, add the two fractions together
6/10 + 9/10 = 15/10 = 3/2 or 1.5
