Answer:
a) 2/3
b) 1/3
Step-by-step explanation:
Let X be the random event that measures the time you will have to wait.
Since time is uniformly distributed between 10 and 10:30 in intervals of 1 minute
P(n < X ≤ n+1) = 1/30 for every minute n=0,1,...29.
a)
P( X > 10) = 1 - P(X ≤ 10) = 1 - 10/30 = 2/3
b)
P(10 < X ≤ 20) = (20-10)/30 = 1/3
<span>step 1 :</span> 3 • (x - 9) - 30 = 0
<span>Step 2 :</span><span>Step 3 :</span>Pulling out like terms :
<span> 3.1 </span> Pull out like factors :
3x - 57 = 3 • (x - 19)
<span>Equation at the end of step 3 :</span> 3 • (x - 19) = 0
<span>Step 4 :</span>Equations which are never true :
<span> 4.1 </span> Solve : 3 = 0
<span>This equation has no solution.
</span>A a non-zero constant never equals zero.
Solving a Single Variable Equation :
<span> 4.2 </span> Solve : x-19 = 0<span>
</span>Add 19 to both sides of the equation :<span>
</span> x = 19
One solution was found : <span> x = 19</span>
Answer:x=7
Step-by-step explanation: Set up 3x-1 equal to 20
Then do your usual distributing.
Answer:
the rate should be 6ml/hr
Step-by-step explanation:
if 100 ml of solution have 50 units each ml has 0.5 units, (50/100)
so in order to get 3 units in one hour the equation would be
number of units = units per mililiter * number of mililiters in an hour
3 = 0.5 * x
x= 3 / 0.5 = 6ml/hr
