Answer:
21
Step-by-step explanation:
2^2+b^2=5^2
4+b^2=25
b^2=21
<3
Red
Answer:
8 hours
Step-by-step explanation:
basic equation
Q (flow rate) = V (volume)/ t (time)
so to find the time we just rearrange the equation and become
t = V/Q
V of cylinder
V = πr²T
and r (radius) = ½ diameter
V = 3.14 x 5² x 1.4
V = 109.9 m³
if the Q is 13 m³/hour then
t = 109.9/13 = 8.453 hours
round to nearest hour = 8 hours
Answer:
two real, unequal roots
Step-by-step explanation:
This is a quadratic equation. The quadratic formula can be used to determine how many and what kind of roots may exist:
Find the discriminant, which is defined as b^2 - 4ac, if ax^2 + bx + c = 0. In this case, a = 1, b = -2 and c = -8, so that the discriminant value is
(-2)^2 - 4(1)(-8), or 4 + 32 = 36.
Because the discriminant is real and positive, we know for certain that we have two real, unequal roots
The probability any one system works is 0.99
So the probability of any one system failing is 1-0.99 = 0.01, so basically a 1% chance of failure for any one system
Multiply out the value 0.01 with itself four times
0.01*0.01*0.01*0.01 = 0.000 000 01
I'm using spaces to make the number more readable
So the probability of all four systems failing is 0.00000001
Subtract this value from 1 to get
1 - 0.00000001 = 0.99999999
The answer is 0.99999999 which is what we'd expect. The probability of at least one of the systems working is very very close to 1 (aka 100%)
