Answer:
The tank will contain 202 Ib of salt when it's full.
Step-by-step explanation
To find the amount of salt in the tank at time <em>t= x(t)</em>
If <em>x</em>(0)= 90Ib
To find the volume of the tank at time t
V(t)= 90+(4-3)t=90+t gal
Other solutions are found attached
Answer:
252 ; 0.0059 ; 0.0074 ; 0.9926
Step-by-step explanation:
Day shift = 10
Swing shift = 8
Graveyard shift = 6
Total number of workers = 24
A.) Number of selections resulting in 5 workers coming from day shift :
10C5 = 10! ÷ (10-5)!5!
= (10*9*8*7*6) / (5*4*3*2*1)
= 252
B.) All 5 workers coming from day shift :
Required outcome = 10C5
Total possible outcomes = 24C5
10C5 ÷ 24C5
252 ÷ 42504
= 0.0059288
= 0.0059
C.) 5 selected workers are from the same shift :
[day shift + swing shift + graveyard shift] / total possible outcomes
[(10C5) + (8C5) + (6C5)] ÷ 24C5
(252 + 56 + 6) / 42504
= 0.0074
D.) What is the probability that at least two different shifts will be represented among the selected workers?
1 - [[(10C5) + (8C5) + (6C5)] ÷ 24C5]
1 - 0.0073875
= 0.9926124
= 0.9926
Answer:
Below in BOLD.
Step-by-step explanation:
1. The discriminant D = b^2 - 4ac
= 3^2 - 4*5*(-7)
= 9 + 140
= 149.
Positive value so it has 2 real solutions.
2. D = (-12)^2 - 4 * 9 * 4
= 144 - 144
= 0.
So it has one real solution.
3. D = 2^2 - 4*1*3
= -8.
It is negative so there are No real solutions.
4. D = 4^2 - 4*2*10 = 16 - 80 = -64.
No solutions.
5. D = (-12)^2 - 4*3*(12)
= 144 - 144 = 0
So its the second choice.
We know that
<span>1½ cup of cleaner-------> (1*2+1)/2-----> 3/2 cup of cleaner
</span><span>the ratio of cleaner to water=(3/2)/12---> 3/(2*12)--> 3/24--> 1/8
the answer is
1/8</span>
Answer:
48
Step-by-step explanation:
1.5
x 32
