Here's your answer, I hope you understand this. 30.9cm
 
        
             
        
        
        
Answer:
7
Step-by-step explanation:
σ = 4 ; μ =?
8.52 to the left of X
. 
P(X < 8.52) = 64.8%
P(X < 8.52) = 0.648
Using the Z relation :
(x - μ) / σ
P(Z < (8.52 - μ) / 4)) = 0.648
The Z value of 0.648 of the lower tail is equal to 0.38 (Z probability calculator) 
Z = 8.52 - μ / 4
0.38 = 8.52 - μ / 4
0.38 * 4 = 8.52 - μ
1.52 = 8.52 - μ
μ = 8.52 - 1.52 
μ = 7
 
        
             
        
        
        
Answer:
t = 460.52 min
Step-by-step explanation:
Here is the complete question
Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200 liters of a dye solution with a concentration of 1 g/liter. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing in at a rate of 2 liters/min, the well-stirred solution flowing out at the same rate.Find the time that will elapse before the concentration of dye in the tank reaches 1% of its original value.
Solution
Let Q(t) represent the amount of dye at any time t. Q' represent the net rate of change of amount of dye in the tank. Q' = inflow - outflow.
inflow = 0 (since the incoming water contains no dye)
outflow = concentration × rate of water inflow
Concentration = Quantity/volume = Q/200
outflow = concentration × rate of water inflow = Q/200 g/liter × 2 liters/min = Q/100 g/min.
So, Q' = inflow - outflow = 0 - Q/100
Q' = -Q/100 This is our differential equation. We solve it as follows
Q'/Q = -1/100
∫Q'/Q = ∫-1/100
㏑Q  = -t/100 + c
 
when t = 0, Q = 200 L × 1 g/L = 200 g

We are to find t when Q = 1% of its original value. 1% of 200 g = 0.01 × 200 = 2

㏑0.01 = -t/100
t = -100㏑0.01
t = 460.52 min
 
        
             
        
        
        
She would make about 17.35 because $850 divided by 49 is 17.3469388 rounded is 17.35
        
             
        
        
        
FOIL is a mnemonic rule for multiplying binomial (that is, two-term) algebraic expressions. 
FOIL abbreviates the sequence "First, Outside, Inside, Last"; it's a way of remembering that the product is the sum of the products of those four combinations of terms. 
For instance, if we multiply the two expressions 
(x + 1) (x + 2) 
then the result is the sum of these four products: 
x times x (the First terms of each expression) 
x times 2 (the Outside pair of terms) 
1 times x (the Inside pair of terms) 
1 times 2 (the Last terms of each expression) 
and so 
(x + 1) (x + 2) = x^2 + 2x + 1x + 2 = x^2 + 3x + 2 
[where the ^ is the usual way we indicate exponents here in Answers, because they're hard to represent in an online text environment]. 
Now, compare this to multiplying a pair of two-digit integers: 
37 × 43 
= (30 × 40) + (30 × 3) + (7 × 40) + (7 × 3) 
= 1200 + 90 + 280 + 21 
= 1591 
The reason the two processes resemble each other is that multiplication is multiplication; the difference in the ways we represent the factors doesn't make it a fundamentally different operation.