Answer:
Step-by-step explanation:
a) probability a person admitted to the hospital will suffer a treatment-caused injury due to negligence
P(injury) = 4%
P(negligence) = 1/4 = 0.25
We need to find probability (injury)(negligence)
P(injury) * P(negligence) = 0.04*0.25 = 0.01
b) probability a person admitted to the hospital will die from a treatment-caused injury
P(injury) = 4%
P(death) = 1/7
P(Injury) *P(death) = 0.04/7 = 0.00571
c) In the case of a negligent treatment-caused injury, what is the probability a malpractice claim will be paid
P(claim) = 1/7.5
P(payment) = 1/2
P(claim)*P(payment) = 1/7.5 * 1/2 = 0.06
So the ratio is 1 to 2 to 5
so basically 1 unit of soda water to 2 units of fruit punch to 5 units of ginger ale
total is 1+2+5=8 units
so 4 gallons=8 units
divide by 8
1/2 gallon=1 unit
soda water=1 unit=1/2 gallon
fruit punch=2 unit=1/2 times 2=1 gallon
ginger ale=5 unit=5 times 1/2=5/2=2 and 1/2 gallon
soda water=1/2 gallon
fruit punch concentrate=1 gallon
ginger ale=5/2 gallon or 2 and 1/2 gallon
Answer:

The opposite of subtraction is addition, so you would have to add 4 to both sides:


Answer: if you simplify the equation, your answer should be 16
Step-by-step explanation: Simplify 2+22+22+2 to 444.
8÷2×48\div 2\times 48÷2×4
2
Simplify 8÷28\div 28÷2 to 444.
4×44\times 44×4
3
Simplify.
16
Answer:
y2 = C1xe^(4x)
Step-by-step explanation:
Given that y1 = e^(4x) is a solution to the differential equation
y'' - 8y' + 16y = 0
We want to find the second solution y2 of the equation using the method of reduction of order.
Let
y2 = uy1
Because y2 is a solution to the differential equation, it satisfies
y2'' - 8y2' + 16y2 = 0
y2 = ue^(4x)
y2' = u'e^(4x) + 4ue^(4x)
y2'' = u''e^(4x) + 4u'e^(4x) + 4u'e^(4x) + 16ue^(4x)
= u''e^(4x) + 8u'e^(4x) + 16ue^(4x)
Using these,
y2'' - 8y2' + 16y2 =
[u''e^(4x) + 8u'e^(4x) + 16ue^(4x)] - 8[u'e^(4x) + 4ue^(4x)] + 16ue^(4x) = 0
u''e^(4x) = 0
Let w = u', then w' = u''
w'e^(4x) = 0
w' = 0
Integrating this, we have
w = C1
But w = u'
u' = C1
Integrating again, we have
u = C1x
But y2 = ue^(4x)
y2 = C1xe^(4x)
And this is the second solution